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Fabia Bayer

M.Sc.

Institut für Nichtlineare Mechanik

Kontakt

+49 711 685 66264
E-Mail

Pfaffenwaldring 9
70569 Stuttgart
Deutschland
Raum: 3.125

Fachgebiet

Research Project: Koopman-Hill stability analysis for periodic solutions

Publikationen

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
- BibTeX
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 }
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
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 }
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
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 }

Lebenslauf

Seit Okt. 2021	Wissenschaftliche Mitarbeiterin am Institut für Nichtlineare Mechanik, Universität Stuttgart
2020 – 2021	Masterstudium Technische Kybernetik, Universität Stuttgart
	Praktikum bei Bosch GmbH, Renningen
2018 – 2020	Masterstudium (Joint Degree) Mechanical Engineering, Universität Stuttgart und Georgia Institute of Technology, Atlanta
	Studienarbeit: “Proximity Moving Horizon Estimation for Nonlinear Systems” am Institut für Systemtheorie und Regelungstechnik, Uni Stuttgart
	Masterarbeit: „Outer Race Fault Identification under Unknown Rotational Speed and Low Sampling Rate“ in Chris Saldana’s lab, Georgia Institute of Technology
2015 – 2018	Bachelorstudium Technische Kybernetik, Universität Stuttgart
	Bachelorarbeit: „Eine Raum-Zeit-Beschreibung von endlichdimensionalen mechanischen Systemen“ am Institut für Nichtlineare Mechanik, Universität Stuttgart

Mitwirkung in der Lehre

WS 25/26	Nichtlineare Dynamik Mechanischer Systeme; MATLAB Workshop Periodic Solutions
SS 25	Technische Mechanik IV (Seminaristische Übung); MATLAB Workshop Periodic Solutions
WS 24/25	Dynamik Mechanischer Systeme; MATLAB Workshop Periodic Solutions
SS 24	Proseminar Technische Kybernetik
WS 23/24	Nichtlineare Dynamik Mechanischer Systeme
SS 23	Technische Mechanik IV (Seminaristische Übung)
WS 22/23	Nichtlineare Dynamik Mechanischer Systeme
SS 22	Proseminar Technische Kybernetik
WS 21/22	Technische Mechanik I

Fabia Bayer

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