Sensitivity of the generalized van der Pol equation to sub- or super-harmonic resonance

0510719 - ÚTAM 2020 RIV CZ eng C - Conference Paper (international conference)
Fischer, Cyril - Náprstek, Jiří
Sensitivity of the generalized van der Pol equation to sub- or super-harmonic resonance.
Proceedings of Computational mechanics 2019. Plzeň: University of West Bohemia, 2019 - (Adámek, V.; Jonášová, A.; Plánička, S.; Zajíček, M.), s. 52-55. ISBN 978-80-261-0889-4.
[Conference with international participation Computational mechanics 2019. Srní (CZ), 04.11.2019-06.11.2019]
R&D Projects: GA ČR(CZ) GA19-21817S
Institutional support: RVO:68378297
Keywords : generalized van der Pol equation * sub-/super-harmonic resonance * stationary response
OECD category: Civil engineering

Vortex induced vibrations in aeroelasticity of slender structures are often described using the generalized van der Pol equation. This equation provides a good analytical model which is able to reproduce the complex non-stationary behaviour of the structure. Due to the non-linear character of the underlying physical system, the effect of sub- or super-harmonic synchronization can be encountered. The contribution presents results of a numerical study aimed at detailed identification of sub- or super-harmonic resonance effects in the model. This way it supplements the previous works by the authors.
Permanent Link: http://hdl.handle.net/11104/0301116