Publikationen Remco Leine | Institut für Nichtlineare Mechanik

Publication list of Remco Leine

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The following publication list is generated through the University Library

Books

Leine, R. I., Acary, V., & Brüls, O. (2018). Advanced Topics in Nonsmooth Dynamics. Transactions of the European Network for Nonsmooth Dynamics. Springer. https://doi.org/10.1007/978-3-319-75972-2
- BibTeX
- Link
BibTeX
@book{Leine&Acary&Bruels2018, address = {Cham, Switzerland}, doi = {https://doi.org/10.1007/978-3-319-75972-2}, editor = {Leine, R. I. and Acary, V. and Br\"uls, O.}, publisher = {Springer}, title = {{Advanced Topics in Nonsmooth Dynamics. Transactions of the European Network for Nonsmooth Dynamics}}, url = {https://link.springer.com/book/10.1007/978-3-319-75972-2}, year = 2018 }
Link
https://link.springer.com/book/10.1007/978-3-319-75972-2
Leine, R. I., & van de Wouw, N. (2008). Stability and Convergence of Mechanical Systems with Unilateral Constraints (Vol. 36). Springer. https://doi.org/10.1007/978-3-540-76975-0
Zusammenfassung
Stability of motion is a central theme in the dynamics of mechanical systems. While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction. Such unilateral constraints give rise to non-smooth dynamical models for which stability theory is developed in this work. The book starts with the treatise of the mathematical background on non-smooth analysis, measure and integration theory and an introduction to the field of non-smooth dynamical systems. The unilateral constraints are modelled in the framework of set-valued force laws developed in the field of non-smooth mechanics. The embedding of these constitutive models in the dynamics of mechanical systems gives rises to dynamical models with impulsive phenomena. This book uses the mathematical framework of measure differential inclusions to formalise such models. The book proceeds with the presentation of stability results for measure differential inclusions. These stability results are then applied to nonlinear mechanical systems with unilateral constraints. The book closes with the study of the convergence property for a class of measure differential inclusions; a stability property for systems with time-varying inputs which is shown to be highly instrumental in the context of the control of mechanical systems with unilateral constraints. While the book presents a profound stability theory for mechanical systems with unilateral constraints, it also has a tutorial value on the modelling of such systems in the framework of measure differential inclusions. The work will be of interest to engineers, scientists and students working in the field of non-smooth mechanics and dynamics.
BibTeX
@book{Leine&vandeWouw2008, abstract = {Stability of motion is a central theme in the dynamics of mechanical systems. While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction. Such unilateral constraints give rise to non-smooth dynamical models for which stability theory is developed in this work. The book starts with the treatise of the mathematical background on non-smooth analysis, measure and integration theory and an introduction to the field of non-smooth dynamical systems. The unilateral constraints are modelled in the framework of set-valued force laws developed in the field of non-smooth mechanics. The embedding of these constitutive models in the dynamics of mechanical systems gives rises to dynamical models with impulsive phenomena. This book uses the mathematical framework of measure differential inclusions to formalise such models. The book proceeds with the presentation of stability results for measure differential inclusions. These stability results are then applied to nonlinear mechanical systems with unilateral constraints. The book closes with the study of the convergence property for a class of measure differential inclusions; a stability property for systems with time-varying inputs which is shown to be highly instrumental in the context of the control of mechanical systems with unilateral constraints. While the book presents a profound stability theory for mechanical systems with unilateral constraints, it also has a tutorial value on the modelling of such systems in the framework of measure differential inclusions. The work will be of interest to engineers, scientists and students working in the field of non-smooth mechanics and dynamics.}, address = {Berlin}, author = {Leine, R. I. and van de Wouw, N.}, doi = {https://doi.org/10.1007/978-3-540-76975-0}, isbn = {978-3-540-76974-3}, publisher = {Springer}, series = {Lecture Notes in Applied and Computational Mechanics}, title = {Stability and Convergence of Mechanical Systems with Unilateral Constraints}, url = {https://link.springer.com/book/10.1007/978-3-540-76975-0}, volume = 36, year = 2008 }
Link
https://link.springer.com/book/10.1007/978-3-540-76975-0
Leine, R. I., & Nijmeijer, H. (2004). Dynamics and Bifurcations of Non-Smooth Mechanical Systems (Vol. 18). Springer. https://doi.org/10.1007/978-3-540-44398-8
Zusammenfassung
This monograph combines the knowledge of both the field of Nonlinear Dynamcis and Non-smooth Mechanics and presents a framework for a class of non-smooth mechanical systems using techniques from both fields. During the last decades, the Non-smooth Mechanics community has developed a formulation of non-smoth systems, the mathematical prerequisites (Convex Analysis) as well as dedicated numerical algorithms. "Dynamics and Bifurcations of Non-smooth Mechanical Systems" presents these developments in a comprehensive way and opens the field to the Nonlinear Dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.
BibTeX
@book{Leine&Nijmeijer2004, abstract = {This monograph combines the knowledge of both the field of Nonlinear Dynamcis and Non-smooth Mechanics and presents a framework for a class of non-smooth mechanical systems using techniques from both fields. During the last decades, the Non-smooth Mechanics community has developed a formulation of non-smoth systems, the mathematical prerequisites (Convex Analysis) as well as dedicated numerical algorithms. "Dynamics and Bifurcations of Non-smooth Mechanical Systems" presents these developments in a comprehensive way and opens the field to the Nonlinear Dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.}, address = {Berlin}, author = {Leine, R. I. and Nijmeijer, H.}, doi = {https://doi.org/10.1007/978-3-540-44398-8}, isbn = {978-3-540-21987-3}, publisher = {Springer}, series = {Lecture Notes in Applied and Computational Mechanics}, title = {Dynamics and Bifurcations of Non-Smooth Mechanical Systems}, url = {https://link.springer.com/book/10.1007/978-3-540-44398-8}, volume = 18, year = 2004 }
Link
https://link.springer.com/book/10.1007/978-3-540-44398-8

Book contributions

Winandy, T., Baumann, M., & Leine, R. I. (2018). Variational analysis of inequality impact laws for perfect unilateral constraints. In R. I. Leine, V. Acary, & O. Brüls (Eds.), Advanced Topics in Nonsmooth Dynamics. Transactions of the European Network for Nonsmooth Dynamics (pp. 47–92). Springer. https://doi.org/10.1007/978-3-319-75972-2_2
- BibTeX
BibTeX
@incollection{Winandy&Baumann&Leine2018, address = {Cham}, author = {Winandy, T. and Baumann, M. and Leine, R. I.}, booktitle = {{Advanced Topics in Nonsmooth Dynamics. Transactions of the European Network for Nonsmooth Dynamics}}, doi = {https://doi.org/10.1007/978-3-319-75972-2_2}, editor = {Leine, R. I. and Acary, V. and Br\"uls, O.}, mrnumber = {3837620}, pages = {47--92}, publisher = {Springer}, title = {Variational analysis of inequality impact laws for perfect unilateral constraints}, year = 2018 }
Flores, P., Leine, R. I., & Glocker, C. (2011). Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach. In K. Arczewski, W. Blajer, J. Fraczek, & M. Wojtyra (Eds.), Multibody Dynamics: Computational Methods and Applications (Vol. 23, pp. 107–130). Springer.
- BibTeX
BibTeX
@incollection{Flores&Leien&GlockerBookContribution2011, address = {Dordrecht}, author = {Flores, P. and Leine, R.I. and Glocker, C.}, booktitle = {Multibody Dynamics: Computational Methods and Applications}, editor = {Arczewski, K. and Blajer, W. and Fraczek, J. and Wojtyra, M.}, note = {C4}, pages = {107-130}, privnote = {C4}, publisher = {Springer}, series = {Computational Methods in Applied Sciences Series}, title = {Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach}, volume = 23, year = 2011 }
van de Wouw, N., & Leine, R. I. (2010). Stability and control of Lur’e-type measure differential inclusions. In A. P. G. Leonov, H. Nijmeijer & A. Fradkov (Eds.), Dynamics and Control of Hybrid Dynamical Systems (Vol. 14, pp. 129–152). https://doi.org/10.1142/9789814282321_000
- BibTeX
BibTeX
@incollection{vandeWouw&Leine2010, author = {van de Wouw, N. and Leine, R. I.}, booktitle = {Dynamics and Control of Hybrid Dynamical Systems}, doi = {https://doi.org/10.1142/9789814282321_000}, editor = {{G. Leonov, H. Nijmeijer}, A. Pogromsky and Fradkov, A.}, pages = {129--152}, series = {World Scientific Series on Nonlinear Science Series B}, title = {Stability and control of {Lur'e}-type measure differential inclusions}, volume = 14, year = 2010 }
Leine, R. I., Brogliato, B., & Nijmeijer, H. (2004). Periodic motion and bifurcations induced by the Painlevé paradox. In H. Irschik & K. Schlacher (Eds.), Advanced Dynamics and Control of Structures and Machine (No. 444; pp. 169–194). https://doi.org/10.1007/978-3-7091-2774-2_10
Zusammenfassung
This chapter describes the periodic motion of the Frictional Impact Oscillator, which consists of an object with normal and tangential degrees of freedom that comes in contact with a rigid surface. The Frictional Impact Oscillator contains the basic mechanism for a hopping phenomenon observed in many practical applications. We will show that the hopping or bouncing motion in this type of systems is closely related to the Painlevé paradox. A dynamical system exhibiting the Painlevé paradox has non-uniqueness and non-existence of solutions in certain sliding modes. Furthermore, we will show that this type of systems can exhibit the Painlevé paradox for physically realistic values of the friction coefficient.
BibTeX
@incollection{Leine&Brogliato&Nijmeijer2004, abstract = {This chapter describes the periodic motion of the Frictional Impact Oscillator, which consists of an object with normal and tangential degrees of freedom that comes in contact with a rigid surface. The Frictional Impact Oscillator contains the basic mechanism for a hopping phenomenon observed in many practical applications. We will show that the hopping or bouncing motion in this type of systems is closely related to the Painlevé paradox. A dynamical system exhibiting the Painlevé paradox has non-uniqueness and non-existence of solutions in certain sliding modes. Furthermore, we will show that this type of systems can exhibit the Painlevé paradox for physically realistic values of the friction coefficient.}, author = {Leine, R. I. and Brogliato, B. and Nijmeijer, H.}, booktitle = {Advanced Dynamics and Control of Structures and Machine}, doi = {https://doi.org/10.1007/978-3-7091-2774-2_10}, editor = {Irschik, H. and Schlacher, K.}, number = 444, pages = {169--194}, series = {CISM Courses and Lectures}, title = {{Periodic motion and bifurcations induced by the Painlevé paradox}}, url = {https://link.springer.com/book/10.1007/978-3-7091-2774-2}, year = 2004 }
Link
https://link.springer.com/book/10.1007/978-3-7091-2774-2
Leine, R. I., van Campen, D. H., & Keultjes, W. J. G. (2003). Stick-slip whirl interaction in drillstring dynamics. In G. Rega & F. Vestroni (Eds.), IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics (pp. 287–296). Springer. https://doi.org/10.1007/1-4020-3268-4_27
- BibTeX
BibTeX
@incollection{Leine&VanCampen&Keultjes2003, address = {Dordrecht}, author = {Leine, R. I. and van Campen, D. H. and Keultjes, W. J. G.}, booktitle = {IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics}, doi = {https://doi.org/10.1007/1-4020-3268-4_27}, editor = {Rega, G. and Vestroni, F.}, pages = {287--296}, publisher = {Springer}, title = {Stick-slip whirl interaction in drillstring dynamics}, year = 2003 }

Journal publications

2025
1. Karoui, A. Y., & Leine, R. I. (2025). Extended invariant cones as Nonlinear Normal Modes of inhomogeneous piecewise linear systems. International Journal of Non-Linear Mechanics, 174. https://doi.org/10.1016/j.ijnonlinmec.2025.105072
  BibTeX
  @article{karoui2025extended, author = {Karoui, A. Yassine and Leine, Remco I.}, doi = {10.1016/j.ijnonlinmec.2025.105072}, journal = {International Journal of Non-Linear Mechanics}, title = {Extended invariant cones as Nonlinear Normal Modes of inhomogeneous piecewise linear systems}, url = {https://doi.org/10.1016/j.ijnonlinmec.2025.105072.}, volume = 174, year = 2025 }
  Link
  https://doi.org/10.1016/j.ijnonlinmec.2025.105072.
  DOI
  10.1016/j.ijnonlinmec.2025.105072
2024
1. Breuling, J., Capobianco, G., Eugster, S. R., & Leine, R. I. (2024). A nonsmooth RATTLE algorithm for mechanical systems with frictional unilateral constraints. Nonlinear Analysis: Hybrid Systems, 52, 101469. https://doi.org/10.1016/j.nahs.2024.101469
  Zusammenfassung
  In 1983, Andersen proposed the RATTLE algorithm as an extension of the SHAKE algorithm. The RATTLE algorithm is a well-established method for simulating mechanical systems with perfect bilateral constraints. This paper further extends RATTLE for simulating nonsmooth mechanical systems with frictional unilateral constraints (i.e. frictional contact). With that, it satisfies the need for higher-order integration methods within the framework of nonsmooth contact dynamics in phases where the contact status does not change (i.e. no collisions/constant sliding states). In particular, the proposed method can simulate impact-free motions, such as persistent frictional contact, with second-order accurate positions and velocities and prohibits penetration by unilateral constraints on position level.
  BibTeX
  @article{Breuling2024a, abstract = {In 1983, Andersen proposed the RATTLE algorithm as an extension of the SHAKE algorithm. The RATTLE algorithm is a well-established method for simulating mechanical systems with perfect bilateral constraints. This paper further extends RATTLE for simulating nonsmooth mechanical systems with frictional unilateral constraints (i.e. frictional contact). With that, it satisfies the need for higher-order integration methods within the framework of nonsmooth contact dynamics in phases where the contact status does not change (i.e. no collisions/constant sliding states). In particular, the proposed method can simulate impact-free motions, such as persistent frictional contact, with second-order accurate positions and velocities and prohibits penetration by unilateral constraints on position level.}, author = {Breuling, Jonas and Capobianco, Giuseppe and Eugster, Simon R. and Leine, Remco I.}, doi = {https://doi.org/10.1016/j.nahs.2024.101469}, issn = {1751-570X}, journal = {Nonlinear Analysis: Hybrid Systems}, pages = 101469, title = {A nonsmooth RATTLE algorithm for mechanical systems with frictional unilateral constraints}, url = {https://www.sciencedirect.com/science/article/pii/S1751570X24000062}, volume = 52, year = 2024 }
  Link
  https://www.sciencedirect.com/science/article/pii/S1751570X24000062
  DOI
  https://doi.org/10.1016/j.nahs.2024.101469
2. Bayer, F., Leine, R. I., Thomas, O., & Grolet, A. (2024). Koopman–Hill stability computation of periodic orbits in polynomial dynamical systems using a real-valued quadratic harmonic balance formulation. International Journal of Non-Linear Mechanics, 167, 104894. https://doi.org/10.1016/j.ijnonlinmec.2024.104894
  Zusammenfassung
  In this paper, we generalize the Koopman–Hill projection method, which was recently introduced for the numerical stability analysis of periodic solutions, to be included immediately in classical real-valued harmonic balance (HBM) formulations. We incorporate it into the Asymptotic Numerical Method (ANM) continuation framework, providing a numerically efficient stability analysis tool for frequency response curves obtained through HBM. The Hill matrix, which carries stability information and follows as a by-product of the HBM solution procedure, is often computationally challenging to analyze with traditional methods. To address this issue, we generalize the Koopman–Hill projection stability method, which extracts the monodromy matrix from the Hill matrix using a matrix exponential, from complex-valued to real-valued formulations. In addition, we propose a differential recast procedure, which makes this real-valued Hill matrix immediately available within the ANM continuation framework. Using as an example a nonlinear von Kármán beam, we demonstrate that these modifications improve computational efficiency in the stability analysis of frequency response curves.
  BibTeX
  @article{bayer2024koopmanhill, abstract = {In this paper, we generalize the Koopman–Hill projection method, which was recently introduced for the numerical stability analysis of periodic solutions, to be included immediately in classical real-valued harmonic balance (HBM) formulations. We incorporate it into the Asymptotic Numerical Method (ANM) continuation framework, providing a numerically efficient stability analysis tool for frequency response curves obtained through HBM. The Hill matrix, which carries stability information and follows as a by-product of the HBM solution procedure, is often computationally challenging to analyze with traditional methods. To address this issue, we generalize the Koopman–Hill projection stability method, which extracts the monodromy matrix from the Hill matrix using a matrix exponential, from complex-valued to real-valued formulations. In addition, we propose a differential recast procedure, which makes this real-valued Hill matrix immediately available within the ANM continuation framework. Using as an example a nonlinear von Kármán beam, we demonstrate that these modifications improve computational efficiency in the stability analysis of frequency response curves.}, author = {Bayer, Fabia and Leine, Remco I. and Thomas, Olivier and Grolet, Aurélien}, doi = {https://doi.org/10.1016/j.ijnonlinmec.2024.104894}, journal = {International Journal of Non-Linear Mechanics}, pages = { 104894}, title = {Koopman–Hill stability computation of periodic orbits in polynomial dynamical systems using a real-valued quadratic harmonic balance formulation}, volume = 167, year = 2024 }
  DOI
  https://doi.org/10.1016/j.ijnonlinmec.2024.104894
2023
1. Karoui, A. Y., & Leine, R. I. (2023). Model reduction of a periodically forced slow–fast continuous piecewise linear system. Nonlinear Dynamics. https://doi.org/10.1007/s11071-023-08858-0
  - BibTeX
  - DOI
  BibTeX
  @article{karoui2023model, author = {Karoui, A. Y. and Leine, R. I.}, doi = {https://doi.org/10.1007/s11071-023-08858-0}, journal = {Nonlinear Dynamics}, title = {Model reduction of a periodically forced slow–fast continuous piecewise linear system}, year = 2023 }
  DOI
  https://doi.org/10.1007/s11071-023-08858-0
2. Bayer, F., & Leine, R. I. (2023). Sorting-free Hill-based stability analysis of periodic solutions through Koopman analysis. Nonlinear Dynamics, 111, 8439–8466. https://doi.org/10.1007/s11071-023-08247-7
  - BibTeX
  - DOI
  BibTeX
  @article{Bayer&Leine2023, author = {Bayer, F. and Leine, R. I.}, doi = {https://doi.org/10.1007/s11071-023-08247-7}, journal = {Nonlinear Dynamics}, note = {J54}, pages = {8439–8466}, title = {Sorting-free Hill-based stability analysis of periodic solutions through Koopman analysis}, volume = 111, year = 2023 }
  DOI
  https://doi.org/10.1007/s11071-023-08247-7
2022
1. Preiswerk, P. V., & Leine, R. I. (2022). State observers for the time discretization of a class of impulsive mechanical systems. International Journal of Robust and Nonlinear Control. https://doi.org/10.1002/rnc.6168
  - BibTeX
  - DOI
  BibTeX
  @article{Preiswerk&Leine2022, author = {Preiswerk, P. V. and Leine, R. I.}, doi = {10.1002/rnc.6168}, journal = {International Journal of Robust and Nonlinear Control}, title = {State observers for the time discretization of a class of impulsive mechanical systems}, year = 2022 }
  DOI
  10.1002/rnc.6168
2021
1. Youssef, B., & Leine, R. I. (2021). A complete set of design rules for a vibro-impact NES based on a multiple scales approximation of a nonlinear mode. Journal of Sound and Vibration, 501, Article 116043. https://doi.org/10.1016/j.jsv.2021.116043
  Zusammenfassung
  The aim of the paper is to formulate a complete set of design rules for a vibro-impact nonlinear energy sink (VI NES). Hereto, analytical and numerical methods to extract the backbone curve of vibro-impact systems are presented. The adopted approach exploits the multiple scales method and is applied to a linear oscillator coupled with a VI NES. The dynamics of the system are explored and the system’s response under harmonic forcing in the vicinity of resonance is analyzed and approximated. The presented method allows for the derivation of a closed-form approximation of a nonlinear mode. The relation between the steady state response and the input parameters is established. The resonance frequency of the examined nonlinear system for different excitation levels is estimated and the corresponding backbone curve is identified. The theoretical predictions are confirmed through a comparison with the standard resonant decay method combined with a phase-locked loop. Finally, the closed-form approximations are used to derive a complete set of design rules for a vibro-impact nonlinear energy sink.
  BibTeX
  @article{Youssef&Leine2021, abstract = {The aim of the paper is to formulate a complete set of design rules for a vibro-impact nonlinear energy sink (VI NES). Hereto, analytical and numerical methods to extract the backbone curve of vibro-impact systems are presented. The adopted approach exploits the multiple scales method and is applied to a linear oscillator coupled with a VI NES. The dynamics of the system are explored and the system’s response under harmonic forcing in the vicinity of resonance is analyzed and approximated. The presented method allows for the derivation of a closed-form approximation of a nonlinear mode. The relation between the steady state response and the input parameters is established. The resonance frequency of the examined nonlinear system for different excitation levels is estimated and the corresponding backbone curve is identified. The theoretical predictions are confirmed through a comparison with the standard resonant decay method combined with a phase-locked loop. Finally, the closed-form approximations are used to derive a complete set of design rules for a vibro-impact nonlinear energy sink.}, author = {Youssef, B. and Leine, R. I.}, doi = {https://doi.org/10.1016/j.jsv.2021.116043}, journal = {Journal of Sound and Vibration}, number = 116043, title = {A complete set of design rules for a vibro-impact {NES} based on a multiple scales approximation of a nonlinear mode}, volume = 501, year = 2021 }
  DOI
  https://doi.org/10.1016/j.jsv.2021.116043
2. Schindler, K., & Leine, R. I. (2021). Paradoxical simulation results of chaos-like chattering in the bouncing ball system. Physica D: Nonlinear Phenomena, 419. https://doi.org/10.1016/j.physd.2021.132854
  Zusammenfassung
  This paper reports and investigates paradoxical simulation results of the bouncing ball system. Chaos-like motion of the bouncing ball system with intermittent chattering (Zeno behavior) is observed in simulations if the relative acceleration of the table exceeds a critical value. However, one can show that this is theoretically impossible. A detailed analysis is given by looking at the backward and forward dynamics of grazing solutions. It is shown in detail that a self-similar structure appears if the relative acceleration of the table exceeds the critical value.
  BibTeX
  @article{Schindler&Leine2021, abstract = {This paper reports and investigates paradoxical simulation results of the bouncing ball system. Chaos-like motion of the bouncing ball system with intermittent chattering (Zeno behavior) is observed in simulations if the relative acceleration of the table exceeds a critical value. However, one can show that this is theoretically impossible. A detailed analysis is given by looking at the backward and forward dynamics of grazing solutions. It is shown in detail that a self-similar structure appears if the relative acceleration of the table exceeds the critical value.}, author = {Schindler, K. and Leine, R. I.}, doi = {https://doi.org/10.1016/j.physd.2021.132854}, journal = {Physica D: Nonlinear Phenomena}, title = {Paradoxical simulation results of chaos-like chattering in the bouncing ball system}, volume = 419, year = 2021 }
  DOI
  https://doi.org/10.1016/j.physd.2021.132854
3. Sailer, S., & Leine, R. I. (2021). Singularly perturbed dynamics of the tippedisk. Proceedings of the Royal Society A, 477, Article 2256. https://doi.org/10.1098/rspa.2021.0536
  Zusammenfassung
  The tippedisk is a mathematical-mechanical archetype for a peculiar friction-induced instability phenomenon leading to the inversion of an unbalanced spinning disc, being reminiscent of (but different from) the well-known inversion of the tippetop. A reduced model of the tippedisk, in the form of a three-dimensional ordinary differential equation, has been derived recently, followed by a preliminary local stability analysis of stationary spinning solutions. In the current paper, a global analysis of the reduced system is pursued using the framework of singular perturbation theory. It is shown how the presence of friction leads to slow fast dynamics and the creation of a two-dimensional slow manifold. Furthermore, it is revealed that a bifurcation scenario involving a homoclinic bifurcation and a Hopf bifurcation leads to an explanation of the inversion phenomenon. In particular, a closed-form condition for the critical spinning speed for the inversion phenomenon is derived. Hence, the tippedisk forms an excellent mathematical-mechanical problem for the analysis of global bifurcations in singularly perturbed dynamics.
  BibTeX
  @article{Sailer&Leine2021ProcRSocA, abstract = {The tippedisk is a mathematical-mechanical archetype for a peculiar friction-induced instability phenomenon leading to the inversion of an unbalanced spinning disc, being reminiscent of (but different from) the well-known inversion of the tippetop. A reduced model of the tippedisk, in the form of a three-dimensional ordinary differential equation, has been derived recently, followed by a preliminary local stability analysis of stationary spinning solutions. In the current paper, a global analysis of the reduced system is pursued using the framework of singular perturbation theory. It is shown how the presence of friction leads to slow fast dynamics and the creation of a two-dimensional slow manifold. Furthermore, it is revealed that a bifurcation scenario involving a homoclinic bifurcation and a Hopf bifurcation leads to an explanation of the inversion phenomenon. In particular, a closed-form condition for the critical spinning speed for the inversion phenomenon is derived. Hence, the tippedisk forms an excellent mathematical-mechanical problem for the analysis of global bifurcations in singularly perturbed dynamics.}, author = {Sailer, S. and Leine, R. I.}, doi = {https://doi.org/10.1098/rspa.2021.0536}, journal = {Proceedings of the Royal Society A}, number = 2256, title = {Singularly perturbed dynamics of the tippedisk}, volume = 477, year = 2021 }
  DOI
  https://doi.org/10.1098/rspa.2021.0536
4. Sailer, S., & Leine, R. I. (2021). Model reduction of the tippedisk: a path to the full analysis. Nonlinear Dynamics, 105, 1955–1975. https://doi.org/10.1007/s11071-021-06649-z
  Zusammenfassung
  The tippedisk is a mechanical-mathematical archetype for friction-induced instability phenomena that exhibits an interesting inversion phenomenon when spun rapidly. The inversion phenomenon of the tippedisk can be modeled by a rigid eccentric disk in permanent contact with a flat support, and the dynamics of the system can therefore be formulated as a set of ordinary differential equations. The qualitative behavior of the nonlinear system can be analyzed, leading to slow fast dynamics. Since even a freely rotating rigid body with six degrees of freedom already leads to highly nonlinear system equations, a general analysis for the full system equations is not feasible. In a first step the full system equations are linearized around the inverted spinning solution with the aim to obtain a local stability analysis. However, it turns out that the linear dynamics of the full system cannot properly describe the qualitative behavior of the tippedisk. Therefore, we simplify the equations of motion of the tippedisk in such a way that the qualitative dynamics are preserved in order to obtain a reduced model that will serve as the basis for a following nonlinear stability analysis. The reduced equations are presented here in full detail and are compared numerically with the full model. Furthermore, using the reduced equations we give approximate closed form results for the critical spinning speed of the tippedisk.
  BibTeX
  @article{Sailer&Leine2021NODY, abstract = {The tippedisk is a mechanical-mathematical archetype for friction-induced instability phenomena that exhibits an interesting inversion phenomenon when spun rapidly. The inversion phenomenon of the tippedisk can be modeled by a rigid eccentric disk in permanent contact with a flat support, and the dynamics of the system can therefore be formulated as a set of ordinary differential equations. The qualitative behavior of the nonlinear system can be analyzed, leading to slow fast dynamics. Since even a freely rotating rigid body with six degrees of freedom already leads to highly nonlinear system equations, a general analysis for the full system equations is not feasible. In a first step the full system equations are linearized around the inverted spinning solution with the aim to obtain a local stability analysis. However, it turns out that the linear dynamics of the full system cannot properly describe the qualitative behavior of the tippedisk. Therefore, we simplify the equations of motion of the tippedisk in such a way that the qualitative dynamics are preserved in order to obtain a reduced model that will serve as the basis for a following nonlinear stability analysis. The reduced equations are presented here in full detail and are compared numerically with the full model. Furthermore, using the reduced equations we give approximate closed form results for the critical spinning speed of the tippedisk.}, author = {Sailer, S. and Leine, R. I.}, doi = {https://doi.org/10.1007/s11071-021-06649-z}, journal = {Nonlinear Dynamics}, pages = {1955--1975}, title = {Model reduction of the tippedisk: a path to the full analysis}, volume = 105, year = 2021 }
  DOI
  https://doi.org/10.1007/s11071-021-06649-z
5. Leine, R. I., Capobianco, G., Bartelt, P., Christen, M., & Caviezel, A. (2021). Stability of rigid body motion through an extended intermediate axis theorem: application to rockfall simulation. Multibody System Dynamics, 52, Article 4. https://doi.org/10.1007/s11044-021-09792-y?
  Zusammenfassung
  The stability properties of a freely rotating rigid body are governed by the intermediate axis theorem, i.e., rotation around the major and minor principal axes is stable whereas rotation around the intermediate axis is unstable. The stability of the principal axes is of importance for the prediction of rockfall. Current numerical schemes for 3D rockfall simulation, however, are not able to correctly represent these stability properties. In this paper an extended intermediate axis theorem is presented, which not only involves the angular momentum equations but also the orientation of the body, and we prove the theorem using Lyapunov's direct method. Based on the stability proof, we present a novel scheme which respects the stability properties of a freely rotating body and which can be incorporated in numerical schemes for the simulation of rigid bodies with frictional unilateral constraints. In particular, we show how this scheme is incorporated in an existing 3D rockfall simulation code. Simulations results reveal that the stability properties of rotating rocks play an essential role in the run-out length and lateral spreading of rocks
  BibTeX
  @article{Leine&Capobianco&Bartelt&Caviezel2021, abstract = {The stability properties of a freely rotating rigid body are governed by the intermediate axis theorem, i.e., rotation around the major and minor principal axes is stable whereas rotation around the intermediate axis is unstable. The stability of the principal axes is of importance for the prediction of rockfall. Current numerical schemes for 3D rockfall simulation, however, are not able to correctly represent these stability properties. In this paper an extended intermediate axis theorem is presented, which not only involves the angular momentum equations but also the orientation of the body, and we prove the theorem using Lyapunov's direct method. Based on the stability proof, we present a novel scheme which respects the stability properties of a freely rotating body and which can be incorporated in numerical schemes for the simulation of rigid bodies with frictional unilateral constraints. In particular, we show how this scheme is incorporated in an existing 3D rockfall simulation code. Simulations results reveal that the stability properties of rotating rocks play an essential role in the run-out length and lateral spreading of rocks}, author = {Leine, R. I. and Capobianco, G. and Bartelt, P. and Christen, M. and Caviezel, A.}, journal = {Multibody System Dynamics}, number = 4, pages = {431--455}, title = {Stability of rigid body motion through an extended intermediate axis theorem: application to rockfall simulation}, url = {https://doi.org/10.1007/s11044-021-09792-y?}, volume = 52, year = 2021 }
  Link
  https://doi.org/10.1007/s11044-021-09792-y?
6. Hinze, M., Schmidt, A., & Leine, R. I. (2021). Finite element formulation of fractional constitutive laws using the reformulated infinite state representation. Fractal Fractional, 5, Article 132. https://doi.org/10.3390/fractalfract5030132
  Zusammenfassung
  In this paper, we introduce a formulation of fractional constitutive equations for finite element analysis using the reformulated infinite state representation of fractional derivatives. Thereby, the fractional constitutive law is approximated by a high-dimensional set of ordinary differential and algebraic equations describing the relation of internal and external system states. The method is deduced for a three-dimensional linear viscoelastic continuum, for which the hydrostatic and deviatoric stress-strain relations are represented by a fractional Zener model. One- and two-dimensional finite elements are considered as benchmark problems with known closed form solutions in order to evaluate the performance of the scheme.
  BibTeX
  @article{Hinze&Schmidt&Leine2021, abstract = {In this paper, we introduce a formulation of fractional constitutive equations for finite element analysis using the reformulated infinite state representation of fractional derivatives. Thereby, the fractional constitutive law is approximated by a high-dimensional set of ordinary differential and algebraic equations describing the relation of internal and external system states. The method is deduced for a three-dimensional linear viscoelastic continuum, for which the hydrostatic and deviatoric stress-strain relations are represented by a fractional Zener model. One- and two-dimensional finite elements are considered as benchmark problems with known closed form solutions in order to evaluate the performance of the scheme.}, author = {Hinze, M. and Schmidt, A. and Leine, R. I.}, journal = {Fractal Fractional}, number = 132, pages = {1--22}, title = {Finite element formulation of fractional constitutive laws using the reformulated infinite state representation}, url = {https://doi.org/10.3390/fractalfract5030132}, volume = 5, year = 2021 }
  Link
  https://doi.org/10.3390/fractalfract5030132
7. Capobianco, G., Harsch, J., Eugster, S. R., & Leine, R. I. (2021). A nonsmooth generalized-alpha method for mechanical systems with frictional contact. International Journal for Numerical Methods in Engineering, 122, Article 22. https://doi.org/10.1002/nme.6801
  - BibTeX
  - DOI
  BibTeX
  @article{Capobianco&Harsch&Eugster&Leine2021, author = {Capobianco, G. and Harsch, J. and Eugster, S. R. and Leine, R. I.}, doi = {https://doi.org/10.1002/nme.6801}, journal = {International Journal for Numerical Methods in Engineering}, number = 22, pages = {6497--6526}, title = {A nonsmooth generalized-alpha method for mechanical systems with frictional contact}, volume = 122, year = 2021 }
  DOI
  https://doi.org/10.1002/nme.6801
2020
1. Sailer, S., Eugster, S. R., & Leine, R. I. (2020). The Tippedisk: a Tippetop without rotational symmetry. Regular and Chaotic Dynamics, 25, Article 6. https://doi.org/10.1134/S1560354720060052
  Zusammenfassung
  The aim of this paper is to introduce the tippedisk to the theoretical mechanics community as a new mechanical-mathematical archetype for friction induced instability phenomena. We discuss the modeling and simulation of the tippedisk, which is an inhomogeneous disk showing an inversion phenomenon similar but more complicated than the tippetop. In particular, several models with different levels of abstraction, parameterizations and force laws are introduced. Moreover, the numerical simulations are compared qualitatively with recordings from a high-speed camera. Unlike the tippetop, the tippedisk has no rotational symmetry, which greatly complicates the three-dimensional nonlinear kinematics. The governing differential equations, which are presented here in full detail, describe all relevant physical effects and serve as a starting point for further research.
  BibTeX
  @article{Sailer&Eugster&Leine2020, abstract = {The aim of this paper is to introduce the tippedisk to the theoretical mechanics community as a new mechanical-mathematical archetype for friction induced instability phenomena. We discuss the modeling and simulation of the tippedisk, which is an inhomogeneous disk showing an inversion phenomenon similar but more complicated than the tippetop. In particular, several models with different levels of abstraction, parameterizations and force laws are introduced. Moreover, the numerical simulations are compared qualitatively with recordings from a high-speed camera. Unlike the tippetop, the tippedisk has no rotational symmetry, which greatly complicates the three-dimensional nonlinear kinematics. The governing differential equations, which are presented here in full detail, describe all relevant physical effects and serve as a starting point for further research.}, author = {Sailer, S. and Eugster, S. R. and Leine, R. I.}, doi = {https://doi.org/10.1134/S1560354720060052}, journal = {Regular and Chaotic Dynamics}, number = 6, pages = {553--580}, title = {The {T}ippedisk: a {T}ippetop without rotational symmetry}, volume = 25, year = 2020 }
  DOI
  https://doi.org/10.1134/S1560354720060052
2. Hinze, M., Schmidt, A., & Leine, R. I. (2020). The direct method of Lyapunov for nonlinear dynamical systems with fractional damping. Nonlinear Dynamics, 102, 2017–2037. https://doi.org/10.1007/s11071-020-05962-3
  Zusammenfassung
  In this paper, we introduce a generalization of Lyapunov’s direct method for dynamical systems with fractional damping. Hereto, we embed such systems within the fundamental theory of functional differential equations with infinite delay and use the associated stability concept and known theorems regarding Lyapunov functionals including a generalized invariance principle. The formulation of Lyapunov functionals in the case of fractional damping is derived from a mechanical interpretation of the fractional derivative in infinite state representation. The method is applied on a single degree-of-freedom oscillator first, and the developed Lyapunov functionals are subsequently generalized for the finite-dimensional case. This opens the way to a stability analysis of nonlinear (controlled) systems with fractional damping. An important result of the paper is the solution of a tracking control problem with fractional and nonlinear damping. For this problem, the classical concepts of convergence and incremental stability are generalized to systems with fractional-order derivatives of state variables. The application of the related method is illustrated on a fractionally damped two degree-of-freedom oscillator with regularized Coulomb friction and non-collocated control.
  BibTeX
  @article{Hinze&Schmidt&Leine2020NODY, abstract = {In this paper, we introduce a generalization of Lyapunov’s direct method for dynamical systems with fractional damping. Hereto, we embed such systems within the fundamental theory of functional differential equations with infinite delay and use the associated stability concept and known theorems regarding Lyapunov functionals including a generalized invariance principle. The formulation of Lyapunov functionals in the case of fractional damping is derived from a mechanical interpretation of the fractional derivative in infinite state representation. The method is applied on a single degree-of-freedom oscillator first, and the developed Lyapunov functionals are subsequently generalized for the finite-dimensional case. This opens the way to a stability analysis of nonlinear (controlled) systems with fractional damping. An important result of the paper is the solution of a tracking control problem with fractional and nonlinear damping. For this problem, the classical concepts of convergence and incremental stability are generalized to systems with fractional-order derivatives of state variables. The application of the related method is illustrated on a fractionally damped two degree-of-freedom oscillator with regularized Coulomb friction and non-collocated control.}, author = {Hinze, M. and Schmidt, A. and Leine, R. I.}, doi = {https://doi.org/10.1007/s11071-020-05962-3}, journal = {Nonlinear Dynamics}, pages = {2017--2037}, title = {The direct method of {Lyapunov} for nonlinear dynamical systems with fractional damping}, volume = 102, year = 2020 }
  DOI
  https://doi.org/10.1007/s11071-020-05962-3
3. Hinze, M., Schmidt, A., & Leine, R. I. (2020). Lyapunov stability of a fractionally damped oscillator with linear (anti-)damping. International Journal of Nonlinear Science and Numerical Simulation, 21, Article 5. https://doi.org/10.1515/ijnsns-2018-0381
  Zusammenfassung
  In this paper, we develop a Lyapunov stability framework for fractionally damped mechanical systems. In particular, we study the asymptotic stability of a linear single degree-of-freedom oscillator with viscous and fractional damping. We prove that the total mechanical energy, including the stored energy in the fractional element, is a Lyapunov functional with which one can prove stability of the equilibrium. Furthermore, we develop a strict Lyapunov functional for asymptotic stability, thereby opening the way to a nonlinear stability analysis beyond an eigenvalue analysis. A key result of the paper is a Lyapunov stability condition for systems having negative viscous damping but a sufficient amount of positive fractional damping. This result forms the stepping stone to the study of Hopf bifurcations in fractionally damped mechanical systems. The theory is demonstrated on a stick-slip oscillator with Stribeck friction law leading to an effective negative viscous damping.
  BibTeX
  @article{Hinze&Schmidt&Leine2020IJNS, abstract = {In this paper, we develop a Lyapunov stability framework for fractionally damped mechanical systems. In particular, we study the asymptotic stability of a linear single degree-of-freedom oscillator with viscous and fractional damping. We prove that the total mechanical energy, including the stored energy in the fractional element, is a Lyapunov functional with which one can prove stability of the equilibrium. Furthermore, we develop a strict Lyapunov functional for asymptotic stability, thereby opening the way to a nonlinear stability analysis beyond an eigenvalue analysis. A key result of the paper is a Lyapunov stability condition for systems having negative viscous damping but a sufficient amount of positive fractional damping. This result forms the stepping stone to the study of Hopf bifurcations in fractionally damped mechanical systems. The theory is demonstrated on a stick-slip oscillator with Stribeck friction law leading to an effective negative viscous damping.}, author = {Hinze, M. and Schmidt, A. and Leine, R. I.}, doi = {https://doi.org/10.1515/ijnsns-2018-0381}, journal = {International Journal of Nonlinear Science and Numerical Simulation}, number = 5, pages = {425--442}, title = {Lyapunov stability of a fractionally damped oscillator with linear (anti-)damping}, volume = 21, year = 2020 }
  DOI
  https://doi.org/10.1515/ijnsns-2018-0381
2019
1. Walker, S. V., & Leine, R. I. (2019). Set-valued anisotropic dry friction laws: formulation experimental verification and instability phenomenon. Nonlinear Dynamics, 96, 885–920. https://doi.org/10.1007/s11071-019-04829-6
  Zusammenfassung
  Many technical applications, such as brakes and metal forming processes, are affected by anisotropic frictional behavior, where the magnitude and the direction of the friction force are dependent on the sliding direction. Existing dry friction laws do not sufficiently describe all relevant macroscopic aspects of anisotropic friction, and the influence on the dynamics of mechanical systems is largely unknown. Furthermore, previous experimental work on anisotropic friction is limited and the fact that the friction force is not always acting parallel to the sliding direction is often neglected. In this paper, an anisotropic dry friction law with the capability to describe the nonsmooth behavior of stick and slip and allowing for non-convex but star-shaped sets of admissible friction forces is formulated using tools from convex analysis. The formulation of the friction law as normal cone inclusion enables the direct implementation in numerical time-stepping schemes. The stability of systems with anisotropic friction is studied and an eigenvalue analysis reveals that the anisotropic friction law is in theory capable of causing anisotropic friction-induced instability. In addition, experimental setups for detailed investigations of the frictional behavior are described. The measurements reveal complex shaped force reservoirs and confirm the validity of the presented friction law. Finally, it is shown that the presented friction law leads to a more accurate prediction of the motion of nonsmooth mechanical systems.
  BibTeX
  @article{Walker&Leine2019, abstract = {Many technical applications, such as brakes and metal forming processes, are affected by anisotropic frictional behavior, where the magnitude and the direction of the friction force are dependent on the sliding direction. Existing dry friction laws do not sufficiently describe all relevant macroscopic aspects of anisotropic friction, and the influence on the dynamics of mechanical systems is largely unknown. Furthermore, previous experimental work on anisotropic friction is limited and the fact that the friction force is not always acting parallel to the sliding direction is often neglected. In this paper, an anisotropic dry friction law with the capability to describe the nonsmooth behavior of stick and slip and allowing for non-convex but star-shaped sets of admissible friction forces is formulated using tools from convex analysis. The formulation of the friction law as normal cone inclusion enables the direct implementation in numerical time-stepping schemes. The stability of systems with anisotropic friction is studied and an eigenvalue analysis reveals that the anisotropic friction law is in theory capable of causing anisotropic friction-induced instability. In addition, experimental setups for detailed investigations of the frictional behavior are described. The measurements reveal complex shaped force reservoirs and confirm the validity of the presented friction law. Finally, it is shown that the presented friction law leads to a more accurate prediction of the motion of nonsmooth mechanical systems.}, author = {Walker, S. V. and Leine, R. I.}, doi = {https://doi.org/10.1007/s11071-019-04829-6}, journal = {Nonlinear Dynamics}, pages = {885--920}, title = {Set-valued anisotropic dry friction laws: formulation experimental verification and instability phenomenon}, volume = 96, year = 2019 }
  DOI
  https://doi.org/10.1007/s11071-019-04829-6
2. Peter, S., Schreyer, F., & Leine, R. I. (2019). A method for numerical and experimental nonlinear modal analysis of nonsmooth systems. Mechanical Systems and Signal Processing, 120, 793–807. https://doi.org/10.1016/j.ymssp.2018.11.009
  - BibTeX
  - DOI
  BibTeX
  @article{Peter&Schreyer&Leine2019, author = {Peter, S. and Schreyer, F. and Leine, R. I.}, doi = {https://doi.org/10.1016/j.ymssp.2018.11.009}, journal = {Mechanical Systems and Signal Processing}, pages = {793--807}, title = {A method for numerical and experimental nonlinear modal analysis of nonsmooth systems}, volume = 120, year = 2019 }
  DOI
  https://doi.org/10.1016/j.ymssp.2018.11.009
3. Hinze, M., Schmidt, A., & Leine, R. I. (2019). Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation. Fractional Calculus and Applied Analysis, 22, Article 5. https://doi.org/10.1515/fca-2019-0070
  Zusammenfassung
  In this paper, we propose a novel approach for the numerical solution of fractional-order ordinary differential equations. The method is based on the infinite state representation of the Caputo fractional differential operator, in which the entire history of the state of the system is considered for correct initialization. The infinite state representation contains an improper integral with respect to frequency, expressing the history dependence of the fractional derivative. The integral generally has a weakly singular kernel, which may lead to problems in numerical computations. A reformulation of the integral generates a kernel that decays to zero at both ends of the integration interval leading to better convergence properties of the related numerical scheme. We compare our method to other schemes by considering several benchmark problems.
  BibTeX
  @article{Hinze&Schmidt&Leine2019, abstract = {In this paper, we propose a novel approach for the numerical solution of fractional-order ordinary differential equations. The method is based on the infinite state representation of the Caputo fractional differential operator, in which the entire history of the state of the system is considered for correct initialization. The infinite state representation contains an improper integral with respect to frequency, expressing the history dependence of the fractional derivative. The integral generally has a weakly singular kernel, which may lead to problems in numerical computations. A reformulation of the integral generates a kernel that decays to zero at both ends of the integration interval leading to better convergence properties of the related numerical scheme. We compare our method to other schemes by considering several benchmark problems.}, author = {Hinze, M. and Schmidt, A. and Leine, R. I.}, doi = {https://doi.org/10.1515/fca-2019-0070}, journal = {Fractional Calculus and Applied Analysis}, number = 5, pages = {1321-1350}, title = {Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation}, volume = 22, year = 2019 }
  DOI
  https://doi.org/10.1515/fca-2019-0070
2018
1. Scheel, M., Peter, S., Leine, R. I., & Krack, M. (2018). A phase resonance approach for modal testing of structures with nonlinear dissipation. Journal of Sound and Vibration, 435, 56–73. https://doi.org/10.1016/j.jsv.2018.07.010
  - BibTeX
  - DOI
  BibTeX
  @article{Scheel&Peter&Leine&Krack2018, author = {Scheel, M. and Peter, S. and Leine, R. I. and Krack, M.}, doi = {https://doi.org/10.1016/j.jsv.2018.07.010}, journal = {Journal of Sound and Vibration}, pages = {56--73}, title = {A phase resonance approach for modal testing of structures with nonlinear dissipation}, volume = 435, year = 2018 }
  DOI
  https://doi.org/10.1016/j.jsv.2018.07.010
2. Peter, S., Scheel, M., Krack, M., & Leine, R. I. (2018). Synthesis of nonlinear frequency responses with experimentally extracted nonlinear modes. Mechanical Systems and Signal Processing, 101, 498–515.
  - BibTeX
  BibTeX
  @article{Peter&Scheel&Krack&Leine2018, author = {Peter, S. and Scheel, M. and Krack, M. and Leine, R. I.}, journal = {Mechanical Systems and Signal Processing}, pages = {498--515}, title = {Synthesis of nonlinear frequency responses with experimentally extracted nonlinear modes}, volume = 101, year = 2018 }
3. Baumann, M., Biemond, J. J. B., Leine, R. I., & van de Wouw, N. (2018). Synchronization of impacting mechanical systems with a single constraint. Physica D: Nonlinear Phenomena, 362, 9–23. https://doi.org/10.1016/j.physd.2017.10.002
  - BibTeX
  - DOI
  BibTeX
  @article{Baumann&Biemond&Leine&vandeWouw2018, author = {Baumann, M. and Biemond, J. J. B. and Leine, R. I. and van de Wouw, N.}, doi = {https://doi.org/10.1016/j.physd.2017.10.002}, journal = {Physica D: Nonlinear Phenomena}, pages = {9--23}, title = {Synchronization of impacting mechanical systems with a single constraint}, volume = 362, year = 2018 }
  DOI
  https://doi.org/10.1016/j.physd.2017.10.002
2017
1. Winandy, T., & Leine, R. I. (2017). A maximal monotone impact law for the 3-ball Newton’s cradle. Multibody System Dynamics, 39, Article 1––2.
  - BibTeX
  BibTeX
  @article{Winandy&Leine2017, author = {Winandy, T. and Leine, R. I.}, journal = {Multibody System Dynamics}, month = {01}, number = {1--2}, pages = {79--94}, title = {A maximal monotone impact law for the 3-ball {N}ewton's cradle}, volume = 39, year = 2017 }
2. Peter, S., & Leine, R. I. (2017). Excitation power quantities in phase resonance testing of nonlinear systems with phase-locked-loop excitation. Mechanical Systems and Signal Processing, 96, 139–158.
  - BibTeX
  BibTeX
  @article{Peter&Leine2017, author = {Peter, S. and Leine, R. I.}, journal = {Mechanical Systems and Signal Processing}, pages = {139--158}, title = {Excitation power quantities in phase resonance testing of nonlinear systems with phase-locked-loop excitation}, volume = 96, year = 2017 }
3. Pagitz, M., & Leine, R. I. (2017). Shape optimization of compliant pressure actuated cellular structures. International Journal of Nonlinear Mechanics, 94, 268–280. http://dx.doi.org/10.1016/j.ijnonlinmec.2017.04.009
  - BibTeX
  - DOI
  BibTeX
  @article{Pagitz&Leine2017, author = {Pagitz, M. and Leine, R. I}, doi = {http://dx.doi.org/10.1016/j.ijnonlinmec.2017.04.009}, journal = {International Journal of Nonlinear Mechanics}, pages = {268--280}, title = {Shape optimization of compliant pressure actuated cellular structures}, volume = 94, year = 2017 }
  DOI
  http://dx.doi.org/10.1016/j.ijnonlinmec.2017.04.009
4. Baumann, M., & Leine, R. I. (2017). Synchronization-based estimation of the maximal Lyapunov exponent of nonsmooth systems. Procedia IUTAM, 20, 23–33.
  - BibTeX
  BibTeX
  @article{Baumann&Leine2017, author = {Baumann, M. and Leine, R. I.}, journal = {Procedia IUTAM}, pages = {23--33}, title = {Synchronization-based estimation of the maximal {Lyapunov} exponent of nonsmooth systems}, volume = 20, year = 2017 }
2016
1. Schreyer, F., & Leine, R. I. (2016). A mixed shooting harmonic balance method for unilaterally constrained mechanical systems. Archive of Mechanical Engineering, LXIII, Article 2.
  - BibTeX
  BibTeX
  @article{Schreyer&Leine2016, author = {Schreyer, F. and Leine, R. I.}, journal = {Archive of Mechanical Engineering}, number = 2, pages = {297--313}, title = {A mixed shooting harmonic balance method for unilaterally constrained mechanical systems}, volume = {LXIII}, year = 2016 }
2. Baumann, M., & Leine, R. I. (2016). A synchronization-based state observer for impact oscillators using only collision time information. International Journal of Robust and Nonlinear Control, 26, 2542–2563.
  - BibTeX
  BibTeX
  @article{Baumann&Leine2016, author = {Baumann, M. and Leine, R. I.}, journal = {International Journal of Robust and Nonlinear Control}, pages = {2542--2563}, title = {A synchronization-based state observer for impact oscillators using only collision time information}, volume = 26, year = 2016 }
2014
1. Leine, R. I., Schweizer, A., Christen, M., Glover, J., Bartelt, P., & Gerber, W. (2014). Simulation of rockfall trajectories with consideration of rock shape. Multibody System Dynamics, 32, 241–271.
  - BibTeX
  BibTeX
  @article{Leine&Schweizer&Christen&Glover&Bartelt&Gerber2014, author = {Leine, R. I. and Schweizer, A. and Christen, M. and Glover, J. and Bartelt, P. and Gerber, W.}, journal = {Multibody System Dynamics}, pages = {241--271}, title = {Simulation of rockfall trajectories with consideration of rock shape}, volume = 32, year = 2014 }
2012
1. van de Wouw, N., & Leine, R. I. (2012). Robust impulsive control of motion systems with uncertain friction. International Journal of Robust and Nonlinear Control, 22, Article 4.
  - BibTeX
  BibTeX
  @article{VandeWouw&Leine2012, author = {van de Wouw, N. and Leine, R. I.}, journal = {International Journal of Robust and Nonlinear Control}, number = 4, pages = {369--397}, title = {Robust impulsive control of motion systems with uncertain friction}, volume = 22, year = 2012 }
2. Nagy, Z., Frutiger, D. R., Leine, R. I., Glocker, C., & Nelson, B. J. (2012). Modeling the motion of microrobots on surfaces using non-smooth multi-body dynamics. IEEE Transactions on Robotics.
  - BibTeX
  BibTeX
  @article{Nagy&Frutiger&Leine&Glocker&Nelson2012, author = {Nagy, Z. and Frutiger, D. R. and Leine, R. I. and Glocker, C. and Nelson, B. J.}, journal = {IEEE Transactions on Robotics}, title = {Modeling the motion of microrobots on surfaces using non-smooth multi-body dynamics}, year = 2012 }
3. Leine, R. I., & Heimsch, T. F. (2012). Global uniform symptotic attractive stability of the non-autonomous bouncing ball system. Physica D: Nonlinear Phenomena, 241, Article 22. http://dx.doi.org/10.1016/j.physd.2011.04.013
  BibTeX
  @article{Leine&Heimsch2012, author = {Leine, R. I. and Heimsch, T. F.}, doi = {http://dx.doi.org/10.1016/j.physd.2011.04.013}, issn = {0167-2789}, journal = {Physica D: Nonlinear Phenomena}, number = 22, pages = {2029--2041}, title = {Global uniform symptotic attractive stability of the non-autonomous bouncing ball system}, url = {http://www.sciencedirect.com/science/article/pii/S0167278911000911}, volume = 241, year = 2012 }
  Link
  http://www.sciencedirect.com/science/article/pii/S0167278911000911
  DOI
  http://dx.doi.org/10.1016/j.physd.2011.04.013
4. Leine, R. I. (2012). Non-smooth stability analysis of the parametrically excited impact oscillator. International Journal of Non-Linear Mechanics, 47, 1020–1032.
  - BibTeX
  BibTeX
  @article{Leine2012, author = {Leine, R. I.}, journal = {International Journal of Non-Linear Mechanics}, pages = {1020--1032}, title = {Non-smooth stability analysis of the parametrically excited impact oscillator}, volume = 47, year = 2012 }
5. Flores, P., Leine, R. I., & Glocker, C. (2012). Application of the nonsmooth dynamics approach to model and analysis of the contact-impact events in cam-follower systems. Nonlinear Dynamics, 69, 2117–2133.
  - BibTeX
  BibTeX
  @article{Flores&Leine&Glocker2012, author = {Flores, P. and Leine, R. I. and Glocker, C.}, journal = {Nonlinear Dynamics}, pages = {2117--2133}, title = {Application of the nonsmooth dynamics approach to model and analysis of the contact-impact events in cam-follower systems}, volume = 69, year = 2012 }
2011
1. Leine, R. I. (2011). Zeno-gedrag in de mechanica. Nieuw Archief Voor Wiskunde (Journal of the Royal Dutch Mathematical Society), NAW 5/12, Article 1.
  - BibTeX
  BibTeX
  @article{Leine2011, author = {Leine, R. I.}, journal = {Nieuw Archief voor Wiskunde (Journal of the Royal Dutch Mathematical Society)}, number = 1, pages = {58--63}, title = {Zeno-gedrag in de mechanica}, volume = {NAW 5/12}, year = 2011 }
2010
1. Leine, R. I. (2010). The historical development of classical stability concepts: Lagrange, Poisson and Lyapunov stability. Nonlinear Dynamics, 59, Article 1––2.
  - BibTeX
  BibTeX
  @article{Leine2010, author = {Leine, R. I.}, journal = {Nonlinear Dynamics}, number = {1--2}, pages = {173--182}, title = {The historical development of classical stability concepts: {L}agrange, {P}oisson and {L}yapunov stability}, volume = 59, year = 2010 }
2. Flores, P., Leine, R. I., & Glocker, C. (2010). Modeling and analysis of planar rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach. Multibody System Dynamics, 23, 165–190. https://doi.org/10.1007/978-90-481-9971-6_6
  - BibTeX
  - DOI
  BibTeX
  @article{Flores&Leine&Glocker2010, author = {Flores, P. and Leine, R. I. and Glocker, C.}, doi = {https://doi.org/10.1007/978-90-481-9971-6_6}, journal = {Multibody System Dynamics}, pages = {165--190}, title = {Modeling and analysis of planar rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach}, volume = 23, year = 2010 }
  DOI
  https://doi.org/10.1007/978-90-481-9971-6_6
2009
1. Leine, R. I., Aeberhard, U., & Glocker, C. (2009). Hamilton’s principle as variational inequality for mechanical systems with impact. Journal of Nonlinear Science, 19, 633–664.
  - BibTeX
  BibTeX
  @article{Leine&Aeberhard&Glocker2009, author = {Leine, R. I. and Aeberhard, U. and Glocker, C.}, journal = {Journal of Nonlinear Science}, pages = {633--664}, title = {Hamilton's principle as variational inequality for mechanical systems with impact}, volume = 19, year = 2009 }
2. Leine, R. I. (2009). Experimental and theoretical investigation of the energy dissipation of a rolling disk during its final stage of motion. Archive of Applied Mechanics, 79, Article 11.
  - BibTeX
  BibTeX
  @article{Leine2009, author = {Leine, R. I.}, journal = {Archive of Applied Mechanics}, number = 11, pages = {1063--1082}, title = {Experimental and theoretical investigation of the energy dissipation of a rolling disk during its final stage of motion}, volume = 79, year = 2009 }
3. Glocker, C., Cataldi-Spinola, E., & Leine, R. I. (2009). Curve squealing of trains: Measurement, modelling and simulation. Journal of Sound and Vibration, 324, Article 1––2.
  - BibTeX
  BibTeX
  @article{Glocker&Cataldi&Leine2009, author = {Glocker, C. and Cataldi-Spinola, E. and Leine, R. I.}, journal = {Journal of Sound and Vibration}, number = {1--2}, pages = {365--386}, title = {Curve squealing of trains: {M}easurement, modelling and simulation}, volume = 324, year = 2009 }
2008
1. Transeth, A. A., Leine, R. I., Glocker, C., Pettersen, K. Y., & Liljebäck, P. (2008). Snake robot obstacle-aided locomotion: Modeling, simulations, and experiments. IEEE Transactions on Robotics, 24, Article 1.
  - BibTeX
  BibTeX
  @article{Transeth&Leine&Glocker&Pettersen&Liljeback2008, author = {Transeth, A. A. and Leine, R. I. and Glocker, C. and Pettersen, K. Y. and Liljeb\"ack, P.}, journal = {IEEE Transactions on Robotics}, number = 1, pages = {88--104}, title = {Snake robot obstacle-aided locomotion: {M}odeling, simulations, and experiments}, volume = 24, year = 2008 }
2. Transeth, A. A., Leine, R. I., Glocker, C., & Pettersen, K. Y. (2008). 3D Snake robot motion: Non-smooth modeling, simulations, and experiments. IEEE Transactions on Robotics, 24, Article 2.
  - BibTeX
  BibTeX
  @article{Transeth&Leine&Glocker&Pettersen2008, author = {Transeth, A. A. and Leine, R. I. and Glocker, C. and Pettersen, K. Y.}, journal = {IEEE Transactions on Robotics}, number = 2, pages = {361--376}, title = {{3D Snake robot motion: Non-smooth modeling, simulations, and experiments}}, volume = 24, year = 2008 }
3. Studer, C., Leine, R. I., & Glocker, C. (2008). Step size adjustment and extrapolation for time stepping schemes in nonsmooth dynamics. International Journal for Numerical Methods in Engineering, 76, Article 11.
  - BibTeX
  BibTeX
  @article{Studer&Leine&Glocker2008, author = {Studer, C. and Leine, R. I. and Glocker, C.}, journal = {International Journal for Numerical Methods in Engineering}, number = 11, pages = {1747--1781}, title = {Step size adjustment and extrapolation for time stepping schemes in nonsmooth dynamics}, volume = 76, year = 2008 }
4. Leine, R. I., & van de Wouw, N. (2008). Uniform convergence of monotone measure differential inclusions: with application to the control of mechanical systems with unilateral constraints. International Journal of Bifurcation and Chaos, 15, Article 5.
  - BibTeX
  BibTeX
  @article{Leine&vandeWouw2008IJBC, author = {Leine, R. I. and van de Wouw, N.}, journal = {International Journal of Bifurcation and Chaos}, number = 5, pages = {1435--1457}, title = {Uniform convergence of monotone measure differential inclusions: with application to the control of mechanical systems with unilateral constraints}, volume = 15, year = 2008 }
5. Leine, R. I., & van de Wouw, N. (2008). Stability properties of equilibrium sets of nonlinear mechanical systems with dry friction and impact. International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, 51, Article 4.
  - BibTeX
  BibTeX
  @article{Leine&vandeWouw2008NODY, author = {Leine, R. I. and van de Wouw, N.}, journal = {International Journal of Nonlinear Dynamics and Chaos in Engineering Systems}, number = 4, pages = {551--583}, title = {Stability properties of equilibrium sets of nonlinear mechanical systems with dry friction and impact}, volume = 51, year = 2008 }
2006
1. Leine, R. I., & van Campen, D. H. (2006). Bifurcation phenomena in non-smooth dynamical systems. European Journal of Mechanics -- A/Solids, 25, 595–616.
  - BibTeX
  BibTeX
  @article{Leine&vanCampen2006, author = {Leine, R. I. and van Campen, D. H.}, journal = {European Journal of Mechanics -- A/Solids}, pages = {595--616}, title = {Bifurcation phenomena in non-smooth dynamical systems}, volume = 25, year = 2006 }
2. Leine, R. I. (2006). Bifurcations of equilibria in non-smooth continuous systems. Physica D: Nonlinear Phenomena, 223, 121–137.
  - BibTeX
  BibTeX
  @article{Leine2006, author = {Leine, R. I.}, journal = {Physica D: Nonlinear Phenomena}, pages = {121--137}, title = {Bifurcations of equilibria in non-smooth continuous systems}, volume = 223, year = 2006 }
2005
1. Le Saux, C., Leine, R. I., & Glocker, C. (2005). Dynamics of a rolling disk in the presence of dry friction. Journal of Nonlinear Science, 15, Article 1.
  - BibTeX
  BibTeX
  @article{LeSaux&Leine&Glocker2005, author = {Le Saux, C. and Leine, R. I. and Glocker, C.}, journal = {Journal of Nonlinear Science}, number = 1, pages = {27--61}, title = {Dynamics of a rolling disk in the presence of dry friction}, volume = 15, year = 2005 }
2004
1. van de Wouw, N., & Leine, R. I. (2004). Attractivity of equilibrium sets of systems with dry friction. International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, 35, Article 1.
  - BibTeX
  BibTeX
  @article{VandeWouw&Leine2004, author = {van de Wouw, N. and Leine, R. I.}, journal = {International Journal of Nonlinear Dynamics and Chaos in Engineering Systems}, number = 1, pages = {19--39}, title = {Attractivity of equilibrium sets of systems with dry friction}, volume = 35, year = 2004 }
2003
1. Leine, R. I., & van Campen, D. H. (2003). Discontinuous fold bifurcations. Systems Analysis Modelling Simulation, 43, 321–332.
  - BibTeX
  BibTeX
  @article{Leine&VanCampen2003, author = {Leine, R. I. and van Campen, D. H.}, journal = {Systems Analysis Modelling Simulation}, pages = {321--332}, title = {Discontinuous fold bifurcations}, volume = 43, year = 2003 }
2. Leine, R. I., Glocker, C., & van Campen, D. H. (2003). Nonlinear dynamics and modeling of various wooden toys with impact and friction. Journal of Vibration and Control, 9, Article 1.
  - BibTeX
  BibTeX
  @article{Leine&Glocker&VanCampen2003, author = {Leine, R. I. and Glocker, C. and van Campen, D. H.}, journal = {Journal of Vibration and Control}, number = 1, pages = {25--78}, title = {Nonlinear dynamics and modeling of various wooden toys with impact and friction}, volume = 9, year = 2003 }
3. Leine, R. I., & Glocker, C. (2003). A set-valued force law for spatial Coulomb-Contensou friction. European Journal of Mechanics -- A/Solids, 22, 193–216.
  - BibTeX
  BibTeX
  @article{Leine&Glocker2003, author = {Leine, R. I. and Glocker, C.}, journal = {European Journal of Mechanics -- A/Solids}, pages = {193--216}, title = {{A set-valued force law for spatial Coulomb-Contensou friction}}, volume = 22, year = 2003 }
2002
1. Leine, R. I., van Campen, D. H., & Keultjes, W. J. G. (2002). Stick-slip whirl interaction in drillstring dynamics. ASME Journal of Vibration and Acoustics, 124, Article 2.
  - BibTeX
  BibTeX
  @article{Leine&VanCampen&Keultjes2002, author = {Leine, R. I. and van Campen, D. H. and Keultjes, W. J. G.}, journal = {ASME Journal of Vibration and Acoustics}, number = 2, pages = {209--220}, title = {Stick-slip whirl interaction in drillstring dynamics}, volume = 124, year = 2002 }
2. Leine, R. I., & van Campen, D. H. (2002). Discontinuous fold bifurcations in mechanical systems. Archive of Applied Mechanics, 72, 138–146.
  - BibTeX
  BibTeX
  @article{Leine&VanCampen2002ArchiveofAppliedmechanics, author = {Leine, R. I. and van Campen, D. H.}, journal = {Archive of Applied Mechanics}, pages = {138--146}, title = {Discontinuous fold bifurcations in mechanical systems}, volume = 72, year = 2002 }
3. Leine, R. I., & van Campen, D. H. (2002). Discontinuous bifurcations of periodic solutions. Mathematical and Computer Modelling, 36, Article 3.
  - BibTeX
  BibTeX
  @article{Leine&VanCampen2002MathematicalAndComputerModelling, author = {Leine, R. I. and van Campen, D. H.}, journal = {Mathematical and Computer Modelling}, number = 3, pages = {259--273}, title = {Discontinuous bifurcations of periodic solutions}, volume = 36, year = 2002 }
4. Leine, R. I., Brogliato, B., & Nijmeijer, H. (2002). Periodic motion and bifurcations induced by the Painlevé paradox. European Journal of Mechanics -- A/Solids, 21, Article 5.
  - BibTeX
  BibTeX
  @article{Leine&Brogliato&Nijmeijer2002, author = {Leine, R. I. and Brogliato, B. and Nijmeijer, H.}, journal = {European Journal of Mechanics -- A/Solids}, number = 5, pages = {869--896}, title = {{Periodic motion and bifurcations induced by the Painlevé paradox}}, volume = 21, year = 2002 }
2000
1. Leine, R. I., van Campen, D. H., & van de Vrande, B. L. (2000). Bifurcations in nonlinear discontinuous systems. International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, 23, Article 2.
  - BibTeX
  BibTeX
  @article{Leine&VanCampen2000, author = {Leine, R. I. and van Campen, D. H. and van de Vrande, B. L.}, journal = {International Journal of Nonlinear Dynamics and Chaos in Engineering Systems}, number = 2, pages = {105--164}, title = {Bifurcations in nonlinear discontinuous systems}, volume = 23, year = 2000 }
1998
1. Leine, R. I., van Campen, D. H., de Kraker, A., & van den Steen, L. (1998). Stick-slip vibrations induced by alternate friction models. International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, 16, Article 1.
  - BibTeX
  BibTeX
  @article{Leine&vanCampen&deKraker&vandenSteen1998, author = {Leine, R. I. and van Campen, D. H. and de Kraker, A. and van den Steen, L.}, journal = {International Journal of Nonlinear Dynamics and Chaos in Engineering Systems}, number = 1, pages = {41--54}, title = {Stick-slip vibrations induced by alternate friction models}, volume = 16, year = 1998 }

Conference proceedings

2022
1. Bayer, F., & Leine, R. I. (2022, July). A Koopman view on the harmonic balance and Hill method. Proceedings of the 10th European Nonlinear Dynamics Conference (ENOC2020+2). https://enoc2020.sciencesconf.org/394116/
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Bayer&Leine2022ENOC, address = {Lyon, France}, author = {Bayer, F. and Leine, R. I.}, booktitle = {Proceedings of the 10th European Nonlinear Dynamics Conference (ENOC2020+2)}, month = {07}, note = {P66}, title = {A Koopman view on the harmonic balance and Hill method}, url = {https://enoc2020.sciencesconf.org/394116/}, year = 2022 }
  Link
  https://enoc2020.sciencesconf.org/394116/
2. Leine, R. I., Capobianco, G., Bartelt, P., & Lu, G. (2022, July). A rockfall simulation scheme which preserves the stability properties of rotating rocks. Proceedings of the 10th European Nonlinear Dynamics Conference (ENOC2020+2). https://enoc2020.sciencesconf.org/301850
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Leine&Capobianco&Bartelt&Lu2022ENOC, address = {Lyon, France}, author = {Leine, R. I. and Capobianco, G. and Bartelt, P. and Lu, G.}, booktitle = {Proceedings of the 10th European Nonlinear Dynamics Conference (ENOC2020+2)}, month = {07}, title = {A rockfall simulation scheme which preserves the stability properties of rotating rocks}, url = {https://enoc2020.sciencesconf.org/301850}, year = 2022 }
  Link
  https://enoc2020.sciencesconf.org/301850
3. Sailer, S., & Leine, R. I. (2022, July). Why does the Tippedisk invert? Theory and experiments. Proceedings of the 10th European Nonlinear Dynamics Conference (ENOC2020+2).
  - BibTeX
  BibTeX
  @inproceedings{Sailer&Leine2022ENOC, address = {Lyon, France}, author = {Sailer, S. and Leine, R. I.}, booktitle = {Proceedings of the 10th European Nonlinear Dynamics Conference (ENOC2020+2)}, month = {07}, title = {Why does the Tippedisk invert? Theory and experiments}, year = 2022 }
4. Karoui, A. Y., & Leine, R. I. (2022, July). Analysis of a singularly perturbed continuous piecewise linear system. Proceedings of the 10th European Nonlinear Dynamics Conference (ENOC2020+2). https://enoc2020.sciencesconf.org/394804
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Karoui&Leine2022ENOC, address = {Lyon, France}, author = {Karoui, A. Y. and Leine, R. I.}, booktitle = {Proceedings of the 10th European Nonlinear Dynamics Conference (ENOC2020+2)}, month = {07}, note = {P67}, title = {Analysis of a singularly perturbed continuous piecewise linear system}, url = {https://enoc2020.sciencesconf.org/394804}, year = 2022 }
  Link
  https://enoc2020.sciencesconf.org/394804
2021
1. Sailer, S., Eugster, S. R., & Leine, R. I. (2021, December). The Tippedisk: A minimal model for friction-induced inversion. Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics 2021.
  - BibTeX
  BibTeX
  @inproceedings{Sailer&Eugster&Leine2021, address = {Budapest, Hungary}, author = {Sailer, S. and Eugster, S. R. and Leine, R. I.}, booktitle = {Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics 2021}, month = {12}, title = {The {Tippedisk}: {A} minimal model for friction-induced inversion}, year = 2021 }
2. Capobianco, G., Harsch, J., Eugster, S. R., & Leine, R. I. (2021). Simulating mechanical systems with frictional contacts using a nonsmooth generalized-alpha method. Proceedings in Applied Mathematics and Mechanics (PAMM), 21, e202100141:1–3. https://doi.org/10.1002/pamm.202100141
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  In this paper, we introduce a nonsmooth generalized-alpha method for the simulation of mechanical systems with frictional contact. In many engineering applications, such systems are composed of rigid and flexible bodies, which are interconnected by joints and can come into contact with each other or their surroundings. Prominent examples are automotive, wind turbine, and robotic systems. It is known from structural mechanics applications, that generalized-alpha schemes perform well for flexible multibody systems without contacts. This motivated the development of nonsmooth generalized-alpha methods for the simulation of mechanical systems with frictional contacts 2, 3, 5. Typically, the Gear-Gupta-Leimkuhler approach is used to stabilize the unilateral constraint, such that numerical penetration of the contact bodies can be avoided - a big issue of the most popular time-stepping schemes such as Moreau's scheme. The nonsmooth generalized-alpha method presented in this paper is derived in 2 and in contrast to 3,5 accounts for set-valued Coulomb-type friction on both velocity and acceleration level. Finally, we validate the method using a guided flexible hopper as a benchmark mechanical system.
  BibTeX
  @inproceedings{Capobianco&Harsch&Eugster&Leine2021PAMM, abstract = {In this paper, we introduce a nonsmooth generalized-alpha method for the simulation of mechanical systems with frictional contact. In many engineering applications, such systems are composed of rigid and flexible bodies, which are interconnected by joints and can come into contact with each other or their surroundings. Prominent examples are automotive, wind turbine, and robotic systems. It is known from structural mechanics applications, that generalized-alpha schemes perform well for flexible multibody systems without contacts. This motivated the development of nonsmooth generalized-alpha methods for the simulation of mechanical systems with frictional contacts [2, 3, 5]. Typically, the Gear-Gupta-Leimkuhler approach is used to stabilize the unilateral constraint, such that numerical penetration of the contact bodies can be avoided - a big issue of the most popular time-stepping schemes such as Moreau's scheme. The nonsmooth generalized-alpha method presented in this paper is derived in [2] and in contrast to [3,5] accounts for set-valued Coulomb-type friction on both velocity and acceleration level. Finally, we validate the method using a guided flexible hopper as a benchmark mechanical system.}, author = {Capobianco, G. and Harsch, J. and Eugster, S. R. and Leine, R. I.}, booktitle = {Proceedings in Applied Mathematics and Mechanics (PAMM)}, doi = {https://doi.org/10.1002/pamm.202100141}, pages = {e202100141:1--3}, title = {Simulating mechanical systems with frictional contacts using a nonsmooth generalized-alpha method}, volume = 21, year = 2021 }
3. Leine, R. I., & Capobianco, G. (2021). An extended version of the Intermediate Axis Theorem for a freely rotating rigid body. Proceedings in Applied Mathematics and Mechanics (PAMM), 21, e202100103.
  - BibTeX
  BibTeX
  @inproceedings{Leine&Capobianco2021PAMM, author = {Leine, R. I. and Capobianco, G.}, booktitle = {Proceedings in Applied Mathematics and Mechanics (PAMM)}, pages = {e202100103}, title = {An extended version of the {Intermediate Axis Theorem} for a freely rotating rigid body}, volume = 21, year = 2021 }
2019
1. Preiswerk, P. V., & Leine, R. I. (2019). A nonsmooth state observer for vibro-impact systems: experimental validation. Proceedings of NODYCON 2019,.
  - BibTeX
  BibTeX
  @inproceedings{Preiswerk&Leine2019NODYCON, address = {Rome, Italy}, author = {Preiswerk, P. V. and Leine, R. I.}, booktitle = {Proceedings of NODYCON 2019,}, title = {A nonsmooth state observer for vibro-impact systems: experimental validation}, year = 2019 }
2. Hinze, M., Schmidt, A., & Leine, R. I. (2019). Numerical simulation of fractionally damped mechanical systems using infinite state representation. Proceedings of the 2019 International Conference on Fractional Calculus Theory and Applications (ICFCTA 2019).
  - BibTeX
  BibTeX
  @inproceedings{Hinze&Schmidt&Leine2019ICFCTA, address = {Bourges, France}, author = {Hinze, M. and Schmidt, A. and Leine, R. I.}, booktitle = {Proceedings of the 2019 International Conference on Fractional Calculus Theory and Applications (ICFCTA 2019)}, title = {Numerical simulation of fractionally damped mechanical systems using infinite state representation}, year = 2019 }
2018
1. Hinze, M., Schmidt, A., & Leine, R. I. (2018, August). Mechanical representation and stability of dynamical systems containing fractional springpot elements. Proceedings of the ASME 2018 International Design Engineering Technical Conferences (IDETC2018), Article DETC2018–85146. https://doi.org/10.1115/DETC2018-85146
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Hinze&Schmidt&Leine2018ASME, address = {Quebec City, Canada}, author = {Hinze, M. and Schmidt, A. and Leine, R. I.}, booktitle = {Proceedings of the ASME 2018 International Design Engineering Technical Conferences (IDETC2018)}, doi = {10.1115/DETC2018-85146}, month = {08}, number = {DETC2018-85146}, title = {Mechanical representation and stability of dynamical systems containing fractional springpot elements}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2018/51838/Quebec City, Quebec, Canada/276205}, year = 2018 }
  Link
  https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2018/51838/Quebec City, Quebec, Canada/276205
2. Schindler, K., & Leine, R. I. (2018, August). Paradoxical chaos-like chattering in the bouncing ball system. Proceedings of the ASME 2018 International Design Engineering Technical Conferences (IDETC2018), Article DETC2018–85202. https://doi.org/10.1115/DETC2018-85202
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Schindler&Leine2018ASME, address = {Quebec City, Canada}, author = {Schindler, K. and Leine, R. I.}, booktitle = {Proceedings of the ASME 2018 International Design Engineering Technical Conferences (IDETC2018)}, doi = {10.1115/DETC2018-85202}, month = {08}, number = {DETC2018-85202}, title = {Paradoxical chaos-like chattering in the bouncing ball system}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2018/51852/Quebec City, Quebec, Canada/275282}, year = 2018 }
  Link
  https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2018/51852/Quebec City, Quebec, Canada/275282
3. Preiswerk, P. V., & Leine, R. I. (2018, August). Experimental performance verification of a synchronization based state observer using only collision time information. Proceedings of the ASME 2018 International Design Engineering Technical Conferences (IDETC2018), Article DETC2018–85859.
  - BibTeX
  BibTeX
  @inproceedings{Preiswerk&Leine2018ASME, address = {Quebec City, Canada}, author = {Preiswerk, P. V. and Leine, R. I.}, booktitle = {Proceedings of the ASME 2018 International Design Engineering Technical Conferences (IDETC2018)}, month = {08}, number = {DETC2018-85859}, title = {Experimental performance verification of a synchronization based state observer using only collision time information}, year = 2018 }
4. Schreyer, F., & Leine, R. I. (2018). Combined frequency-time reduction methods for calculating periodic solutions of unilaterally constrained systems. IUTAM Symposium on Model Order Reduction of Coupled Systems (MORCOS 2018).
  - BibTeX
  BibTeX
  @inproceedings{Schreyer&Leine2018MORCOS, address = {Stuttgart, Germany}, author = {Schreyer, F. and Leine, R. I.}, booktitle = {IUTAM Symposium on Model Order Reduction of Coupled Systems (MORCOS 2018)}, title = {Combined frequency-time reduction methods for calculating periodic solutions of unilaterally constrained systems}, year = 2018 }
5. Peter, S., Schreyer, F., & Leine, R. I. (2018). Experimental and numerical nonlinear modal analysis of a beam with impact: Part II - Experimental investigation. Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics (IMAC).
  - BibTeX
  BibTeX
  @inproceedings{Peter&Schreyer&Leine2018IMAC, address = {Orlando, USA}, author = {Peter, S. and Schreyer, F. and Leine, R. I.}, booktitle = {Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics (IMAC)}, title = {Experimental and numerical nonlinear modal analysis of a beam with impact: {Part II - Experimental investigation}}, year = 2018 }
6. Schreyer, F., Peter, S., & Leine, R. I. (2018). Experimental and numerical nonlinear modal analysis of a beam with impact: Part I - Numerical investigation. Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics (IMAC).
  - BibTeX
  BibTeX
  @inproceedings{Schreyer&Peter&Leine2018IMAC, address = {Orlando, USA}, author = {Schreyer, F. and Peter, S. and Leine, R. I.}, booktitle = {Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics (IMAC)}, title = {Experimental and numerical nonlinear modal analysis of a beam with impact: {Part I - Numerical investigation}}, year = 2018 }
2017
1. Peter, S., Scheel, M., Krack, M., & Leine, R. (2017, June). Experimental frequency response synthesis for nonlinear systems. Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC2017).
  - BibTeX
  BibTeX
  @inproceedings{Peter&Scheel&Krack&Leine2017ENOC, address = {Budapest, Hungary}, author = {Peter, S. and Scheel, M. and Krack, M. and Leine, R.}, booktitle = {Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC2017)}, month = {06}, title = {Experimental frequency response synthesis for nonlinear systems}, year = 2017 }
2. Scheel, M., Peter, S., Leine, R., & Krack, M. (2017, June). Towards experimental nonlinear modal analysis of systems with nonlinear damping. Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC2017).
  - BibTeX
  BibTeX
  @inproceedings{Scheel&Peter&Leine&Krack2017ENOC, address = {Budapest, Hungary}, author = {Scheel, M. and Peter, S. and Leine, R. and Krack, M.}, booktitle = {Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC2017)}, month = {06}, title = {Towards experimental nonlinear modal analysis of systems with nonlinear damping}, year = 2017 }
3. Walker, S. V., & Leine, R. I. (2017, June). Anisotropic dry friction with non-convex force reservoirs: modeling and experiments. Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC2017).
  - BibTeX
  BibTeX
  @inproceedings{Walker&Leine2017ENOC, address = {Budapest, Hungary}, author = {Walker, S. V. and Leine, R. I.}, booktitle = {Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC2017)}, month = {06}, title = {Anisotropic dry friction with non-convex force reservoirs: modeling and experiments}, year = 2017 }
4. Capobianco, G., Eugster, S. R., & Leine, R. I. (2017). Moreau-type integrators based on the time finite element discretization of the virtual action. Proceedings in Applied Mathematics and Mechanics (PAMM), 17, Article 1. https://doi.org/10.1002/pamm.201710041
  - BibTeX
  BibTeX
  @inproceedings{Capobianco&Eugster&Leine2017PAMM, author = {Capobianco, G. and Eugster, S. R. and Leine, R. I.}, booktitle = {Proceedings in Applied Mathematics and Mechanics (PAMM)}, doi = {10.1002/pamm.201710041}, number = 1, pages = {177--178}, title = {Moreau-type integrators based on the time finite element discretization of the virtual action}, volume = 17, year = 2017 }
5. Capobianco, G., Winandy, T., Eugster, S. R., & Leine, R. I. (2017). Comparison of Moreau-type integrators based on the time finite element discretization of the virtual action. Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC2017).
  - BibTeX
  BibTeX
  @inproceedings{Capobianco&Winandy&Eugster&Leine2017, address = {Budapest, Hungary}, author = {Capobianco, G. and Winandy, T. and Eugster, S. R. and Leine, R. I.}, booktitle = {Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC2017)}, title = {Comparison of {M}oreau-type integrators based on the time finite element discretization of the virtual action}, year = 2017 }
2016
1. Baumann, M., & Leine, R. I. (2016, August). Synchronization-based estimation of the maximal Lyapunov exponent of nonsmooth systems. 24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016).
  - BibTeX
  BibTeX
  @inproceedings{Baumann&Leine2016ICTAM, address = {Montreal, Canada}, author = {Baumann, M. and Leine, R. I.}, booktitle = {24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016)}, month = {08}, title = {Synchronization-based estimation of the maximal {Lyapunov} exponent of nonsmooth systems}, year = 2016 }
2. Baumann, M., Biemond, J. J. B., Leine, R. I., & van de Wouw, N. (2016, August). Controlled synchronization of mechanical systems with a unilateral constraint. 10th IFAC Symposium on Nonlinear Control Systems.
  - BibTeX
  BibTeX
  @inproceedings{Baumann&Biemond&Leine&vandeWouw2016IFAC, address = {Monterey, California, USA}, author = {Baumann, M. and Biemond, J. J. B. and Leine, R. I. and van de Wouw, N.}, booktitle = {10th IFAC Symposium on Nonlinear Control Systems}, month = {08}, title = {Controlled synchronization of mechanical systems with a unilateral constraint}, year = 2016 }
3. Peter, S., & Leine, R. I. (2016, July). Experimental nonlinear modal analysis using phase-locked-loop. Proceedings of the 6th International Conference on Nonlinear Vibrations, Localization and Energy Transfer.
  - BibTeX
  BibTeX
  @inproceedings{Peter&Leine2016ICNV, address = {Liege, Belgium}, author = {Peter, S. and Leine, R. I.}, booktitle = {Proceedings of the 6th International Conference on Nonlinear Vibrations, Localization and Energy Transfer}, month = {07}, title = {Experimental nonlinear modal analysis using phase-locked-loop}, year = 2016 }
4. Schreyer, F., & Leine, R. I. (2016, June). Mixed Shooting-HBM: a periodic solution solver for unilaterally constrained systems. Proceedings of the 4th Joint International Conference on Multibody System Dynamics (IMSD).
  - BibTeX
  BibTeX
  @inproceedings{Schreyer&Leine2016IMSD, address = {Montreal, Canada}, author = {Schreyer, F. and Leine, R. I.}, booktitle = {Proceedings of the 4th Joint International Conference on Multibody System Dynamics (IMSD)}, month = {06}, title = {{Mixed Shooting-HBM}: a periodic solution solver for unilaterally constrained systems}, year = 2016 }
5. Walker, S. V., & Leine, R. I. (2016, June). Modeling and numerical simulation of anisotropic dry friction with non-convex friction force reservoir. Proceedings of the 4th Joint International Conference on Multibody System Dynamics (IMSD).
  - BibTeX
  BibTeX
  @inproceedings{Walker&Leine2016IMSD, address = {Montreal, Canada}, author = {Walker, S. V. and Leine, R. I.}, booktitle = {Proceedings of the 4th Joint International Conference on Multibody System Dynamics (IMSD)}, month = {06}, title = {Modeling and numerical simulation of anisotropic dry friction with non-convex friction force reservoir}, year = 2016 }
6. Baumann, M., & Leine, R. I. (2016, June). Estimation of the maximal Lyapunov exponent of nonsmooth systems using chaos synchronization. Procedings of the 4th Joint International Conference on Multibody System Dynamics (IMSD).
  - BibTeX
  BibTeX
  @inproceedings{Baumann&Leine2016IMSD, address = {Montreal, Canada}, author = {Baumann, M. and Leine, R. I.}, booktitle = {Procedings of the 4th Joint International Conference on Multibody System Dynamics (IMSD)}, month = {06}, title = {Estimation of the maximal {L}yapunov exponent of nonsmooth systems using chaos synchronization}, year = 2016 }
7. Peter, S., Grundler, A., Reuss, P., Gaul, L., & Leine, R. I. (2016). Towards finite element model updating based on nonlinear normal modes. In G. Kerschen (Ed.), Nonlinear Dynamics, Volume 1, Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015 (pp. 209–217). Springer. https://doi.org/10.1007/978-3-319-15221-9_20
  - BibTeX
  BibTeX
  @incollection{Peter&Grundler&Reuss&Gaul&Leine2016IMAC, address = {Cham}, author = {Peter, S. and Grundler, A. and Reuss, P. and Gaul, L. and Leine, R. I.}, booktitle = {Nonlinear Dynamics, Volume 1, Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015}, chapter = 20, doi = {https://doi.org/10.1007/978-3-319-15221-9_20}, editor = {Kerschen, G.}, pages = {209--217}, publisher = {Springer}, series = {Conference Proceedings of the Society for Experimental Mechanics Series}, title = {Towards finite element model updating based on nonlinear normal modes}, year = 2016 }
8. Peter, S., Riethmüller, R., & Leine, R. I. (2016). Tracking of backbone curves of nonlinear systems using phase-locked-loops. In G. Kerschen (Ed.), Nonlinear Dynamics, Volume 1, Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015. Springer, Cham.
  - BibTeX
  BibTeX
  @incollection{Peter&Riethmueller&Leine2016IMAC, author = {Peter, S. and Riethm\"uller, R. and Leine, R. I.}, booktitle = {Nonlinear Dynamics, Volume 1, Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015}, chapter = 11, editor = {Kerschen, G.}, publisher = {Springer, Cham}, series = {Conference Proceedings of the Society for Experimental Mechanics Series}, title = {Tracking of backbone curves of nonlinear systems using phase-locked-loops}, year = 2016 }
2015
1. Baumann, M., & Leine, R. I. (2015). Synchronization-based state observer including position jumps for impacting multibody systems. Proceedings of the 54th IEEE Conference on Decision and Control (CDC), 5556–5562. https://doi.org/10.1109/CDC.2015.7403090
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Baumann&Leine2015CDC, address = {Osaka, Japan}, author = {Baumann, M. and Leine, R. I.}, booktitle = {Proceedings of the 54th IEEE Conference on Decision and Control (CDC)}, doi = {10.1109/CDC.2015.7403090}, month = {12}, pages = {5556--5562}, title = {Synchronization-based state observer including position jumps for impacting multibody systems}, url = {http://ieeexplore.ieee.org/document/7403090/}, year = 2015 }
  Link
  http://ieeexplore.ieee.org/document/7403090/
2. Schreyer, F., & Leine, R. I. (2015, August). Finding periodic solutions of forced systems with local nonlinearities: a mixed shooting harmonic balance method. Proceedings of the ASME 2015 International Design Engineering Technical Conferences (IDETC). https://doi.org/10.1115/DETC2015-47461
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Schreyer&Leine2015IDETC, address = {Boston, USA}, author = {Schreyer, F. and Leine, R. I.}, booktitle = {Proceedings of the ASME 2015 International Design Engineering Technical Conferences (IDETC)}, doi = {10.1115/DETC2015-47461}, month = {08}, title = {Finding periodic solutions of forced systems with local nonlinearities: a mixed shooting harmonic balance method}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2015/57168/Boston, Massachusetts, USA/258040}, year = 2015 }
  Link
  https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2015/57168/Boston, Massachusetts, USA/258040
3. Leine, R. I., & Schreyer, F. (2015, June). A mixed shooting and harmonic balance method for mechanical systems with dry friction or other local nonlinearities. Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  In this paper we present a mixed shooting harmonic balance method for large linear mechanical systems with local nonlinearities. The standard harmonic balance method (HBM), which approximates the periodic solution in frequency domain, is very popular as it is well suited for large systems with many states. However, it suffers from the fact that local nonlinearities cannot be evaluated directly in the frequency domain. The standard HBM performs an inverse Fourier transform, then calculates the nonlinear force in time domain and subsequently the Fourier coefficients of the nonlinear force. The disadvantage of the HBM is, that strong nonlinearities are poorly represented by a truncated Fourier series. In contrast, the shooting method operates in time-domain and relies on numerical time-simulation. Set-valued force laws such as dry friction or other strong nonlinearities can be dealt with if an appropriate numerical integrator is available. The shooting method, however, becomes infeasible if the system has many states. The proposed mixed shooting HBM approach combines the best of both worlds.
  BibTeX
  @inproceedings{Leine&Schreyer2015ECCOMAS, abstract = {In this paper we present a mixed shooting harmonic balance method for large linear mechanical systems with local nonlinearities. The standard harmonic balance method (HBM), which approximates the periodic solution in frequency domain, is very popular as it is well suited for large systems with many states. However, it suffers from the fact that local nonlinearities cannot be evaluated directly in the frequency domain. The standard HBM performs an inverse Fourier transform, then calculates the nonlinear force in time domain and subsequently the Fourier coefficients of the nonlinear force. The disadvantage of the HBM is, that strong nonlinearities are poorly represented by a truncated Fourier series. In contrast, the shooting method operates in time-domain and relies on numerical time-simulation. Set-valued force laws such as dry friction or other strong nonlinearities can be dealt with if an appropriate numerical integrator is available. The shooting method, however, becomes infeasible if the system has many states. The proposed mixed shooting HBM approach combines the best of both worlds.}, address = {Barcelona, Spain}, author = {Leine, R. I. and Schreyer, F.}, booktitle = {Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics}, month = {06}, title = {A mixed shooting and harmonic balance method for mechanical systems with dry friction or other local nonlinearities}, year = 2015 }
4. Winandy, T., & Leine, R. I. (2015, June). Towards a maximal monotone impact law for Newton’s cradle. Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics.
  - BibTeX
  BibTeX
  @inproceedings{Winandy&Leine2015ECCOMAS, address = {Barcelona, Spain}, author = {Winandy, T. and Leine, R. I.}, booktitle = {Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics}, month = {06}, title = {Towards a maximal monotone impact law for {N}ewton's cradle}, year = 2015 }
5. Baumann, M., & Leine, R. I. (2015). Synchronization-based state observer for impacting multibody systems using switched geometric unilateral constraints. Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  We present a new design of a state observer for linear time-invariant multibody systems subjected to unilateral constraints using only the information of the impact time. It extends the approach presented in 4 with the new concept of switched geometric unilateral constraints. These constraints introduce constraint forces in the kinematic equation which render the generalized coordinates discontinuous. The introduction of position jumps improves the synchronization rate and expands the applicability of the observer. A master slave synchronization setup is used for which the unidirectional coupling between the master (observed system) and the slave system (observer) consists only of the impact time information. The dynamics of the slave system is shown to be attractively incrementally stable due to the switched constraints. The observer replicates the full state for all initial conditions, also in the presence of accumulations points (Zeno behavior) and in the vicinity of grazing impacts. The results are illustrated using two examples of impacting mechanical systems.
  BibTeX
  @inproceedings{Baumann&Leine2015ECCOMAS, abstract = {We present a new design of a state observer for linear time-invariant multibody systems subjected to unilateral constraints using only the information of the impact time. It extends the approach presented in [4] with the new concept of switched geometric unilateral constraints. These constraints introduce constraint forces in the kinematic equation which render the generalized coordinates discontinuous. The introduction of position jumps improves the synchronization rate and expands the applicability of the observer. A master slave synchronization setup is used for which the unidirectional coupling between the master (observed system) and the slave system (observer) consists only of the impact time information. The dynamics of the slave system is shown to be attractively incrementally stable due to the switched constraints. The observer replicates the full state for all initial conditions, also in the presence of accumulations points (Zeno behavior) and in the vicinity of grazing impacts. The results are illustrated using two examples of impacting mechanical systems.}, address = {Barcelona, Spain}, author = {Baumann, M. and Leine, R. I.}, booktitle = {Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics}, title = {Synchronization-based state observer for impacting multibody systems using switched geometric unilateral constraints}, year = 2015 }
6. Leine, R. I., & Winandy, T. (2015). Nonexpansivity of the Newton’s cradle impact law. Proceedings in Applied Mathematics and Mechanics (PAMM), 15, 59–60.
  - BibTeX
  BibTeX
  @inproceedings{Leine&Winandy2015PAMM, author = {Leine, R. I. and Winandy, T.}, booktitle = {Proceedings in Applied Mathematics and Mechanics (PAMM)}, pages = {59--60}, title = {Nonexpansivity of the {N}ewton's cradle impact law}, volume = 15, year = 2015 }
2014
1. Gehring, C., Diethelm, R., Siegwart, R., Nützi, G., & Leine, R. I. (2014, August). An evaluation of Moreau’s time-stepping scheme for the simulation of a legged robot. Proceedings of the ASME 2014 International Design Engineering Technical Conferences (IDETC), Article DETC2014–34374. https://doi.org/10.1115/DETC2014-34374
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Gehring&Diethelm&Siegwart&Nuetzi&Leine2014IDETC, address = {Buffalo, New York}, author = {Gehring, C. and Diethelm, R. and Siegwart, R. and N{\"u}tzi, G. and Leine, R. I.}, booktitle = {Proceedings of the ASME 2014 International Design Engineering Technical Conferences (IDETC)}, doi = {10.1115/DETC2014-34374}, month = {08}, number = {DETC2014-34374}, title = {An evaluation of {M}oreau's time-stepping scheme for the simulation of a legged robot}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2014/46391/Buffalo, New York, USA/254500}, year = 2014 }
  Link
  https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2014/46391/Buffalo, New York, USA/254500
2. Baumann, M., & Leine, R. I. (2014, July). Convergence based synchronization of unilaterally constrained multibody systems. Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC2014).
  - BibTeX
  BibTeX
  @inproceedings{Baumann&Leine2014ENOC, address = {Vienna, Austria}, author = {Baumann, M. and Leine, R. I.}, booktitle = {Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC2014)}, month = {07}, title = {Convergence based synchronization of unilaterally constrained multibody systems}, year = 2014 }
3. Leine, R. I., & Baumann, M. (2014, July). Variational analysis of inequality impact laws. Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC2014).
  - BibTeX
  BibTeX
  @inproceedings{Leine&Baumann2014ENOC, address = {Vienna, Austria}, author = {Leine, R. I. and Baumann, M.}, booktitle = {Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC2014)}, month = {07}, title = {Variational analysis of inequality impact laws}, year = 2014 }
2013
1. Leine, R. I. (2013). Parametric excitation of non-smooth systems: the unilaterally constrained Hill’s equation. Proceedings of the ECCOMAS Multibody Conference.
  - BibTeX
  BibTeX
  @inproceedings{Leine2013ECCOMAS, address = {Zagreb, Croatia}, author = {Leine, R. I.}, booktitle = {Proceedings of the ECCOMAS Multibody Conference}, title = {Parametric excitation of non-smooth systems: the unilaterally constrained {H}ill’s equation}, year = 2013 }
2. Lang, U., Theurillat, R., Kiko, T., Kühne, S., Leine, R. I., & Cavalloni, C. (2013). High-G and high bandwidth characterization of piezoresistive MEMS accelerometers for crash test applications. Proceedings of to the AMA Sensor Conference. https://www.ama-science.org/proceedings/details/1412
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Lang&Theurillat&Kiko&Kuehne&Leine&Cavelloni2013AMA, address = {Nürnberg, Germany}, author = {Lang, U. and Theurillat, R. and Kiko, T. and Kühne, S. and Leine, R. I. and Cavalloni, C}, booktitle = {Proceedings of to the AMA Sensor Conference}, title = {High-{G} and high bandwidth characterization of piezoresistive {MEMS} accelerometers for crash test applications}, url = {https://www.ama-science.org/proceedings/details/1412}, year = 2013 }
  Link
  https://www.ama-science.org/proceedings/details/1412
3. Baumann, M., Leine, R. I., Noiray, N., & Schuermans, B. (2013). Bifurcation analysis of self-excited thermoacoustic oscillations in damper-equipped combustion chambers. Proceedings of the ECCOMAS Multibody Conference.
  - BibTeX
  BibTeX
  @inproceedings{Baumann&Leine&Noiray&Schuermans2013ECCOMAS, address = {Zagreb, Croatia}, author = {Baumann, M and Leine, R. I. and Noiray, N. and Schuermans, B.}, booktitle = {Proceedings of the ECCOMAS Multibody Conference}, title = {Bifurcation analysis of self-excited thermoacoustic oscillations in damper-equipped combustion chambers}, year = 2013 }
2012
1. Christen, M., Bühler, Y.and Bartelt, P., Leine, R., Glover, J., Schweizer, A., Graf, C., McArdell, B. W., Gerber, W., Deubelbeiss, Y., Feistl, T., & Volkwein, A. (2012). Integral hazard management using a unified software environment: numerical simulation tool “RAMMS” for gravitational natural hazards. Proceedings 12th Congress INTERPRAEVENT, 1, 77–86.
  - BibTeX
  BibTeX
  @inproceedings{Christen&Buehler&Bartelt&Leine&Glover&Schweizer&Graf2012INTERPRAEVENT, address = {Grenoble}, author = {Christen, M. and {B\"uhler, Y.and Bartelt}, P. and Leine, R. and Glover, J. and Schweizer, A. and Graf, C. and McArdell, B.W. and Gerber, W. and Deubelbeiss, Y. and Feistl, T. and Volkwein, A.}, booktitle = {Proceedings 12th Congress INTERPRAEVENT}, month = {04}, pages = {77--86}, title = {{Integral hazard management using a unified software environment: numerical simulation tool "RAMMS" for gravitational natural hazards}}, volume = 1, year = 2012 }
2. Glover, J., Schweizer, A., Christen, M., Gerber, W., Leine, R. I., & Bartelt, P. (2012). Numerical investigation of the influence of rock shape on rockfall trajectory. Geophysical Research Abstracts, 14, Article EGU2012–11022–1.
  - BibTeX
  BibTeX
  @inproceedings{Glover&Schweizer&Christen&Gerber&Leine&Bartelt2012GRA, author = {Glover, J. and Schweizer, A. and Christen, M. and Gerber, W. and Leine, R. I. and Bartelt, P.}, booktitle = {Geophysical Research Abstracts}, number = {EGU2012-11022-1}, title = {Numerical investigation of the influence of rock shape on rockfall trajectory}, volume = 14, year = 2012 }
2011
1. Leine, R. I., & Aeberhard, U. (2011, July). On the principle of Hamilton as variational inequality. Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC2011).
  - BibTeX
  BibTeX
  @inproceedings{Leine&Aueberhard2011ENOC, address = {Rome, Italy}, author = {Leine, R. I. and Aeberhard, U.}, booktitle = {Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC2011)}, month = {07}, title = {On the principle of {H}amilton as variational inequality}, year = 2011 }
2. Heimsch, T., & Leine, R. I. (2011, July). A novel Lyapunov-like method for the non-autonomous bouncing ball system. Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC2011).
  - BibTeX
  BibTeX
  @inproceedings{Heimsch&Leine2011ENOC, address = {Rome, Italy}, author = {Heimsch, T. and Leine, R. I.}, booktitle = {Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC2011)}, month = {07}, title = {A novel {L}yapunov-like method for the non-autonomous bouncing ball system}, year = 2011 }
3. Schweizer, A., Leine, R. I., & Glocker, C. (2011). Simulation of rockfall using the non-smooth contact dynamics approach. Proceedings of the EUROMECH Colloquium Nonsmooth Contact and Impact Laws in Mechanics.
  - BibTeX
  BibTeX
  @inproceedings{Schweizer&leine2011EUROMECH, address = {Grenoble, France}, author = {Schweizer, A. and Leine, R.I. and Glocker, C.}, booktitle = {Proceedings of the EUROMECH Colloquium Nonsmooth contact and impact laws in mechanics}, title = {Simulation of rockfall using the non-smooth contact dynamics approach}, year = 2011 }
4. van de Wouw, N., & Leine, R. I. (2011). Impulsive control of mechanical motion systems with uncertain friction. Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 4176–4182. https://doi.org/10.1109/CDC.2011.6160361
  - BibTeX
  - Link
  BibTeX
  @inproceedings{vandeWouw&Leine2011CDC, address = {Orlando, USA}, author = {{van de Wouw}, N. and Leine, R. I.}, booktitle = {Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011)}, doi = {10.1109/CDC.2011.6160361}, pages = {4176--4182}, title = {Impulsive control of mechanical motion systems with uncertain friction}, url = {http://ieeexplore.ieee.org/document/6160361/}, year = 2011 }
  Link
  http://ieeexplore.ieee.org/document/6160361/
2010
1. Nagy, Z., Frutiger, D. R., Leine, R. I., Glocker, C., & Nelson, B. J. (2010). Modeling and analysis of wireless resonant magnetic microactuators. Proceedings of the IEEE International Conference on Robotics and Automation (ICRA 2010), 1598–1603. https://doi.org/10.1109/ROBOT.2010.5509260
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Nagy&Frutiger&Leine&Glocker2010ICRA, address = {Anchorage, USA}, author = {Nagy, Z. and Frutiger, D. R. and Leine, R. I. and Glocker, C. and Nelson, B. J.}, booktitle = {Proceedings of the IEEE International Conference on Robotics and Automation (ICRA 2010)}, doi = {10.1109/ROBOT.2010.5509260}, pages = {1598--1603}, title = {Modeling and analysis of wireless resonant magnetic microactuators}, url = {http://ieeexplore.ieee.org/document/5509260/}, year = 2010 }
  Link
  http://ieeexplore.ieee.org/document/5509260/
2009
1. Flores, P., Leine, R. I., & Glocker, C. (2009, September). Application of the nonsmooth dynamics formulation to model and analyze the contact-impact events in slider-crank and cam-follower systems. Proceedings of the 7th EUROMECH Solid Mechanics Conference (ESMC2009).
  - BibTeX
  BibTeX
  @inproceedings{Flores&leien&Glocker2009ESMC, address = {Isbon, Portugal}, author = {Flores, P. and Leine, R. I. and Glocker, C.}, booktitle = {Proceedings of the 7th EUROMECH Solid Mechanics Conference (ESMC2009)}, month = {09}, title = {Application of the nonsmooth dynamics formulation to model and analyze the contact-impact events in slider-crank and cam-follower systems}, year = 2009 }
2. Leine, R. I. (2009, September). Measurements of the finite-time singularity of the Euler disk. Proceedings of the 7th EUROMECH Solid Mechanics Conference (ESMC2009).
  - BibTeX
  BibTeX
  @inproceedings{Leine2009ESMC, address = {Lisbon, Portugal}, author = {Leine, R. I.}, booktitle = {Proceedings of the 7th EUROMECH Solid Mechanics Conference (ESMC2009)}, month = {09}, title = {Measurements of the finite-time singularity of the {E}uler disk}, year = 2009 }
3. Möller, M., & Leine, R. I. (2009, September). An efficient approximation of orthotropic set-valued force laws of normal cone type. Proceedings of the 7th EUROMECH Solid Mechanics Conference (ESMC2009).
  - BibTeX
  BibTeX
  @inproceedings{Moeller&Leine2009ESMC, address = {Lisbon, Portugal}, author = {M\"oller, M. and Leine, R. I.}, booktitle = {Proceedings of the 7th EUROMECH Solid Mechanics Conference (ESMC2009)}, month = {09}, title = {An efficient approximation of orthotropic set-valued force laws of normal cone type}, year = 2009 }
4. Heimsch, T. F., & Leine, R. I. (2009, September). Lyapunov stability theory for nonsmooth non-autonomous mechanical systems applied to the bouncing ball problem. Proceedings of the ASME 2009 International Design Engineering Technical Conferences (IDETC). https://doi.org/10.1115/DETC2009-87185
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Heimsch&Leine2009IDETC, address = {San Diego, USA}, author = {Heimsch, T. F. and Leine, R. I.}, booktitle = {Proceedings of the ASME 2009 International Design Engineering Technical Conferences (IDETC)}, doi = {10.1115/DETC2009-87185}, month = {09}, title = {Lyapunov stability theory for nonsmooth non-autonomous mechanical systems applied to the bouncing ball problem}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2009/49019/465/345625}, year = 2009 }
  Link
  https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2009/49019/465/345625
5. Flores, P., Leine, R. I., & Glocker, C. (2009). Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach. Proceedings of the Multibody Dynamics 2009 ECCOMAS Thematic Conference.
  - BibTeX
  BibTeX
  @inproceedings{Flores&leien&Glocker2009ECCOMAS, address = {Warsaw, Poland}, author = {Flores, P. and Leine, R. I. and Glocker, C.}, booktitle = {Proceedings of the Multibody Dynamics 2009 ECCOMAS Thematic Conference}, title = {Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach}, year = 2009 }
2008
1. van de Wouw, N., & Leine, R. I. (2008). Tracking control for a class of measure differential inclusions. Proceedings of the 47th IEEE Conference on Decision and Control (CDC), 2526–2532. https://doi.org/10.1109/CDC.2008.4738683
  - BibTeX
  - Link
  BibTeX
  @inproceedings{vandeWouw&Leine2008CDC, address = {Cancun, Mexico}, author = {{van de Wouw}, N. and Leine, R. I.}, booktitle = {Proceedings of the 47th IEEE Conference on Decision and Control (CDC)}, doi = {10.1109/CDC.2008.4738683}, month = {12}, pages = {2526--2532}, title = {Tracking control for a class of measure differential inclusions}, url = {http://ieeexplore.ieee.org/document/4738683/}, year = 2008 }
  Link
  http://ieeexplore.ieee.org/document/4738683/
2. van de Wouw, N., & Leine, R. I. (2008). Convergence properties of monotone measure differential inclusions. Proceedings of the 6th European Nonlinear Dynamics Conference (ENOC2008), 2526–2532.
  - BibTeX
  BibTeX
  @inproceedings{vandeWouw&Leine2008ENOC, address = {St. Petersburg, Russia}, author = {{van de Wouw}, N. and Leine, R. I.}, booktitle = {Proceedings of the 6th European Nonlinear Dynamics Conference (ENOC2008)}, month = {06}, pages = {2526--2532}, title = {Convergence properties of monotone measure differential inclusions}, year = 2008 }
3. Leine, R. I., & Aeberhard, U. (2008). A weak form of Hamilton’s principle as variational inequality. Proceedings of the 6th European Nonlinear Dynamics Conference (ENOC2008), 2526–2532.
  - BibTeX
  BibTeX
  @inproceedings{Leien&Aeberhard2008ENOC, address = {St. Petersburg, Russia}, author = {Leine, R. I. and Aeberhard, U.}, booktitle = {Proceedings of the 6th European Nonlinear Dynamics Conference (ENOC2008)}, month = {06}, pages = {2526--2532}, title = {A weak form of Hamilton's principle as variational inequality}, year = 2008 }
2007
1. Leine, R. I., & van de Wouw, N. (2007, June). Stability and attractivity of mechanical systems with unilateral constraints. Proceedings of the 2007 ECCOMAS Thematic Conference on Multibody Dynamics.
  - BibTeX
  BibTeX
  @inproceedings{Leien&vandeWouw2007ECCOMAS, address = {Milano, Italy}, author = {Leine, R. I. and van de Wouw, N.}, booktitle = {Proceedings of the 2007 ECCOMAS Thematic Conference on Multibody Dynamics}, month = {06}, title = {Stability and attractivity of mechanical systems with unilateral constraints}, year = 2007 }
2. Leine, R. I., & Aeberhard, U. (2007). The Euler-Maupertuis principle of least action as variational inequality. Proceedings in Applied Mathematics and Mechanics (PAMM), 7, 4010019–4010020. https://doi.org/10.1002/pamm.200700666
  - BibTeX
  BibTeX
  @inproceedings{Leine&Aeberhard2007PAMM, address = {Zurich, Switzerland}, author = {Leine, R. I. and Aeberhard, U.}, booktitle = {Proceedings in Applied Mathematics and Mechanics (PAMM)}, doi = {10.1002/pamm.200700666}, pages = {4010019--4010020}, title = {The {Euler-Maupertuis} principle of least action as variational inequality}, volume = 7, year = 2007 }
2006
1. van de Wouw, N., & Leine, R. I. (2006). Stability of stationary sets in nonlinear systems with set-valued friction. Proceedings of the 45th IEEE Conference on Decision and Control and European Control Conference (CDC2006), 4271–4276.
  - BibTeX
  BibTeX
  @inproceedings{VandeWouw&Leine2006CDC, address = {San Diego, USA}, author = {van de Wouw, N. and Leine, R. I.}, booktitle = {Proceedings of the 45th IEEE Conference on Decision and Control and European Control Conference (CDC2006)}, month = {12}, pages = {4271--4276}, title = {Stability of stationary sets in nonlinear systems with set-valued friction}, year = 2006 }
2. Transeth, A. A., Leine, R. I., Glocker, C., & Pettersen, K. Y. (2006). Non-smooth 3D modeling of a snake robot with external objects. Proceedings of the 2006 IEEE International Conference on Robotics and Biomimetics (ROBIO2006).
  - BibTeX
  BibTeX
  @inproceedings{Transeth&Leine&Glocker&Pettersen2006ROBIOExternalObjects, address = {Kunming, China}, author = {Transeth, A. A. and Leine, R. I. and Glocker, C. and Pettersen, K. Y.}, booktitle = {Proceedings of the 2006 IEEE International Conference on Robotics and Biomimetics (ROBIO2006)}, title = {Non-smooth {3D} modeling of a snake robot with external objects}, year = 2006 }
3. Transeth, A. A., Leine, R. I., Glocker, C., & Pettersen, K. Y. (2006). Non-smooth 3D modeling of a snake robot with frictional unilateral constraints. Proceedings of the 2006 IEEE International Conference on Robotics and Biomimetics (ROBIO2006).
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  @inproceedings{Transeth&Leine&Glocker&Pettersen2006ROBIOUnilateralConstraints, address = {Kunming, China}, author = {Transeth, A. A. and Leine, R. I. and Glocker, C. and Pettersen, K. Y.}, booktitle = {Proceedings of the 2006 IEEE International Conference on Robotics and Biomimetics (ROBIO2006)}, title = {Non-smooth {3D} modeling of a snake robot with frictional unilateral constraints}, year = 2006 }
2005
1. Leine, R. I., & van de Wouw, N. (2005, September). Dry friction induced attractivity of equilibrium sets in mechanical multibody systems. Proceedings of the Design Engineering Technical Conferences & Computers and Information in Engineering Conference (DETC 2005), ASME Symposium on Nonlinear Dynamics in Engineering Systems. https://doi.org/10.1115/DETC2005-84221
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  @inproceedings{Leine&vandeWouw2005DETC, address = {Long Beach, USA}, author = {Leine, R. I. and van de Wouw, N.}, booktitle = {Proceedings of the Design Engineering Technical Conferences \& Computers and Information in Engineering Conference (DETC 2005), ASME Symposium on Nonlinear Dynamics In Engineering Systems}, doi = {10.1115/DETC2005-84221}, month = {09}, title = {Dry friction induced attractivity of equilibrium sets in mechanical multibody systems}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2005/47438/617/317091}, year = 2005 }
  Link
  https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2005/47438/617/317091
2. van de Wouw, N., & Leine, R. I. (2005, August). Stability properties of equilibrium sets of controlled linear mechanical systems with dry friction. Proceedings of the 5th European Nonlinear Dynamics Conference (ENOC 2005).
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  @inproceedings{vandeWouw&Leine2005ENOC, address = {Eindhoven, The Netherlands}, author = {van de Wouw, N. and Leine, R. I.}, booktitle = {Proceedings of the 5th European Nonlinear Dynamics Conference (ENOC 2005)}, month = {08}, note = {{Eindhoven, CD-ROM}}, title = {Stability properties of equilibrium sets of controlled linear mechanical systems with dry friction}, year = 2005 }
3. Leine, R. I., Le Saux, C., & Glocker, C. (2005, August). Friction models for the rolling disk. Proceedings of the 5th European Nonlinear Dynamics Conference (ENOC 2005).
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  @inproceedings{Leine&LeSaux&Glocker2005ENOC, address = {Eindhoven, The Netherlands}, author = {Leine, R. I. and Le Saux, C. and Glocker, C.}, booktitle = {Proceedings of the 5th European Nonlinear Dynamics Conference (ENOC 2005)}, month = {08}, note = {{Eindhoven, CD-ROM}}, title = {Friction models for the rolling disk}, year = 2005 }
4. van de Wouw, N., Leine, R. I., & Nijmeijer, H. (2005). Controlling attractivity of friction-induced equilibrium sets. Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference (CDC2005), 2610–2615.
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  @inproceedings{VandeWouw&Leine&Nijmeijer2005CDC, address = {Sevilla, Spain}, author = {van de Wouw, N. and Leine, R. I. and Nijmeijer, H.}, booktitle = {Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference (CDC2005)}, pages = {2610--2615}, title = {Controlling attractivity of friction-induced equilibrium sets}, year = 2005 }
2003
1. Leine, R. I., & Glocker, C. (2003, September). A set-valued force law for spatial Coulomb-Contensou friction. Proceedings of the Design Engineering Technical Conferences & Computers and Information in Engineering Conference (DETC 2003), ASME Symposium on Nonlinear Dynamics in Engineering Systems. https://doi.org/10.1115/DETC2003/VIB-48426
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  @inproceedings{Leine&Glocker2003DETC, address = {Chicago, USA}, author = {Leine, R. I. and Glocker, C.}, booktitle = {Proceedings of the Design Engineering Technical Conferences \& Computers and Information in Engineering Conference (DETC 2003), ASME Symposium on Nonlinear Dynamics In Engineering Systems}, doi = {10.1115/DETC2003/VIB-48426}, month = {09}, title = {A set-valued force law for spatial {C}oulomb-{C}ontensou friction}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2003/37033/1031/358956}, year = 2003 }
  Link
  https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2003/37033/1031/358956
2002
1. Leine, R. I., & van Campen, D. H. (2002). Some aspects of bifurcations in non-smooth mechanical systems. Proceedings of the 5th International Conference on Vibration Engineering, 349–357.
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  @inproceedings{Leine&vanCampen2002ICVE, address = {Nanjing, China}, author = {Leine, R. I. and van Campen, D. H.}, booktitle = {Proceedings of the 5th International Conference on Vibration Engineering}, pages = {349--357}, title = {Some aspects of bifurcations in non-smooth mechanical systems}, year = 2002 }
2. Leine, R. I., Brogliato, B., & Nijmeijer, H. (2002). Periodic motion and bifurcations induced by the Painlevé paradox. Proceedings of the International Conference on Nonsmooth/Nonconvex Mechanics with Applications, 291–298.
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  @inproceedings{Leine&Brogliato&Nijmeijer2002ICNNMA, address = {Thessaloniki}, author = {Leine, R. I. and Brogliato, B. and Nijmeijer, H.}, booktitle = {Proceedings of the International Conference on Nonsmooth/Nonconvex Mechanics with Applications}, pages = {291--298}, title = {Periodic motion and bifurcations induced by the {P}ainlevé paradox}, year = 2002 }
2001
1. Leine, R. I., Glocker, C., & van Campen, D. H. (2001, September). Nonlinear Dynamics of the Woodpecker Toy. Proceedings of Design Enineering Technical Conferences & Computers and Information in Engineering Conference (DETC 2001) ASME Symposium on Nonlinear Dynamics and Control in Engineering Systems. https://doi.org/10.1115/detc2001/vib-21608
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  @inproceedings{Leine&Glocker&VanCampen2001DETC, address = {Pittsburgh, USA}, author = {Leine, R. I. and Glocker, C. and van Campen, D. H.}, booktitle = {Proceedings of Design Enineering Technical Conferences \& Computers and Information in Engineering Conference (DETC 2001) ASME Symposium on Nonlinear Dynamics and Control In Engineering Systems}, doi = {10.1115/detc2001/vib-21608}, month = {09}, note = {{CD-ROM, DETC2001/VIB-21608}}, title = {Nonlinear Dynamics of the Woodpecker Toy}, year = 2001 }
1999
1. Leine, R. I., & van Campen, D. H. (1999, September). Fold bifurcations in discontinuous systems. Proceedings of the Design Engineering Technical Conferences & Computers and Information in Engineering Conference (DETC 1999).
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  @inproceedings{Leine&VanCampen1999DETC, address = {Las Vegas, USA}, author = {Leine, R. I. and van Campen, D. H.}, booktitle = {Proceedings of the Design Engineering Technical Conferences \& Computers and Information in Engineering Conference (DETC 1999)}, month = {09}, note = {{CD-ROM, DETC99/VIB-8034}}, title = {Fold bifurcations in discontinuous systems}, year = 1999 }

Theses

Leine, R. I. (2006). On the Stability of Motion in Non-smooth Mechanical Systems [Habilitation thesis]. ETH Zurich.
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@phdthesis{Leine2006HabilitationThesis, author = {Leine, R. I}, month = {06}, school = {ETH Zurich}, title = {On the Stability of Motion in Non-smooth Mechanical Systems}, type = {Habilitation thesis}, year = 2006 }
Leine, R. I. (2000). Bifurcations in Discontinuous Mechanical Systems of Filippov-Type [Eindhoven University of Technology]. https://doi.org/DOI: 10.6100/IR533239
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@phdthesis{Leine2000PhDThesis, author = {Leine, R. I.}, doi = {DOI: 10.6100/IR533239}, month = {06}, school = {Eindhoven University of Technology}, title = {Bifurcations in Discontinuous Mechanical Systems of Filippov-Type}, url = {https://www.inm.uni-stuttgart.de/institut/mitarbeiter/leine/papers/thesis/Leine_-_Bifurcations_in_Discontinuous_Mechanical_Systems_of_Filippov-Type.pdf}, year = 2000 }
Link
https://www.inm.uni-stuttgart.de/institut/mitarbeiter/leine/papers/thesis/Leine_-_Bifurcations_in_Discontinuous_Mechanical_Systems_of_Filippov-Type.pdf

Miscellaneous

Leine, R. I. (1997). Literature Survey on Torsional Drillstring Vibrations (No. WFW 97.069). Eindhoven University of Technology.
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@techreport{Leine1997, author = {Leine, R. I.}, institution = {Eindhoven University of Technology}, number = {WFW 97.069}, title = {Literature Survey on Torsional Drillstring Vibrations}, year = 1997 }
van den Steen, L., van Buren, M., Leine, R. I., van Campen, D. H., & de Kraker, A. (1997). Combating torsion drillstring oscillations. In Alles Beweegt, 40th jubilee publication of the student society “Simon Stevin”.
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@incollection{vandenSteen&vanBuren&Leine&vanCampen&deKraker1997, address = {Eindhoven}, author = {van den Steen, L. and van Buren, M. and Leine, R.I. and van Campen, D.H. and de Kraker, A.}, booktitle = {Alles Beweegt, 40th jubilee publication of the student society "Simon Stevin"}, title = {Combating torsion drillstring oscillations}, year = 1997 }
Leine, R. I. (1996). Nonlinear Drillstring and Thruster Dynamics.
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@mastersthesis{Leine1996MScThesis, author = {Leine, R. I.}, note = {internal report SIEP 96-5176, Shell International Exploration and Production B.V.}, school = {Delft University of Technology}, title = {Nonlinear Drillstring and Thruster Dynamics}, year = 1996 }

Publication list of Remco Leine

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2025

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2024

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2023

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2022

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2021

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2020

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2019

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2018