Analysis of van der Pol equation on slow time scale for combined random and harmonic excitation

0564005 - ÚTAM 2023 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Náprstek, Jiří - Fischer, Cyril
Analysis of van der Pol equation on slow time scale for combined random and harmonic excitation.
Proceedings of Computational mechanics 2022. Plzeň: University of West Bohemia, 2022 - (Adámek, V.; Jonášová, A.; Plánička, S.; Zajíček, M.), s. 83-86. ISBN 978-80-261-1116-0.
[Computational mechanics 2022. Conference with international participation /37./. Srní (CZ), 07.11.2022-09.11.2022]
Grant CEP: GA ČR(CZ) GC21-32122J
Institucionální podpora: RVO:68378297
Klíčová slova: SDOF oscillator * slow-time system * Fokker-Planck equation
Obor OECD: Civil engineering

Vortex shedding represents one of the most important processes that constantly attract the attention of experimental and theoretical research. A number of non-linear effects arise from the fluid-structure interaction. The non-stationary response in the vicinity of the lock-in region has a quasi-periodic character, beating frequency of which varies considerably with the distance from the lock-in frequency. This property is significantly affected by the assumption of combined random and harmonic excitation. This paper describes several details that contribute to the probabilistic characteristics of the system on a time-slow scale using partial response amplitudes.
Trvalý link: https://hdl.handle.net/11104/0335765