Original title: Numerical analysis of non-stationary response types in the stochastic van der Pol equation
Authors: Fischer, Cyril ; Náprstek, Jiří
Document type: Papers
Conference/Event: Computational mechanics 2024 /39./., Srní (CZ), 20241104
Year: 2024
Language: eng
Abstract: Slender structures subjected to external excitation with a dominant frequency near, but outside, the lock-in frequency region exhibit quasi-periodic behaviour in deterministic cases and highly irregular responses when random perturbations are introduced. The nature of the stochastic response changes significantly as the excitation frequency moves further from the lock-in region. This contribution explores theoretical and numerical methods for characterizing the stochastic behaviour of these responses.
Keywords: frequency analysis; harmonic and random excitation; quasi-periodic process; random perturbations; van der Pol equation
Project no.: GA24-13061S (CEP)
Funding provider: GA ČR
Host item entry: Computational mechanics 2024. Proceedings of computational mechanics 2024, ISBN 978-80-261-1249-5

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0357809

Permalink: http://www.nusl.cz/ntk/nusl-668240


The record appears in these collections:
Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers