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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-based stability analysis

Publikationen

Bayer, F., & Leine, R. I. (2024). Optimal projection in a Koopman-based sorting-free Hill method. In W. Lacarbonara (Hrsg.), Advances in Nonlinear Dynamics, Proceedings of the Third International Nonlinear Dynamics Conference (NODYCON 2023) (Bd. 1, S. 409–419). Springer. https://doi.org/10.1007/978-3-031-50631-4_35
- BibTeX
- Dokumente
BibTeX
@inproceedings{Bayer&Leine2023NODYCON, abstract = {In this chapter, the performance of a novel method to determine the stability of periodic solutions is analyzed. Using the Koopman framework, the linear time-periodic nonautonomous perturbed dynamics around a periodic solution can be approximated by a linear autonomous system of higher order, whose system matrix is the well-known Hill matrix. The evaluation of the closed-form solution reveals that the monodromy matrix can be approximated by the Hill matrix, using only a matrix exponential and a projection instead of solving a large eigenvalue problem or integrating numerically over one period. There does not exist a unique choice for the projection of the Hill matrix to the monodromy matrix. In this chapter, various ways to obtain a suitable projection are discussed. The computational efficiency of the novel method is analyzed for the vertically excited multiple pendulum, comparing the effect of the considered projection options.}, address = {Cham}, author = {Bayer, F. and Leine, R. I.}, booktitle = {Advances in Nonlinear Dynamics, Proceedings of the Third International Nonlinear Dynamics Conference (NODYCON 2023)}, doi = {https://doi.org/10.1007/978-3-031-50631-4_35}, editor = {Lacarbonara, W.}, month = {05}, pages = {409-419}, publisher = {Springer}, series = {NODYCON Conference Proceedings Series}, title = {Optimal projection in a Koopman-based sorting-free Hill method}, url = {https://nodycon.org/2023/}, volume = 1, year = 2024 }
Dokumente
- 2023 Bayer & Leine - Optimal projection in a ... Hill method NODYCON.pdf
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
- Dokumente
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 }
Dokumente
- 2023 Bayer & Leine - Sorting-free Hill-based stability analysis - NODY.pdf
Bayer, F., & Leine, R. I. (2022, Juli). 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
- Dokumente
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 }
Dokumente
- 2022 Bayer & Leine - A Koopman view on the harmonic balance and Hill method ENOC.pdf

Fabia Bayer

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