Solution methods for an aeroelastic problem with combined harmonic and stochastic excitation

0585977 - ÚTAM 2025 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Fischer, Cyril - Náprstek, Jiří
Solution methods for an aeroelastic problem with combined harmonic and stochastic excitation.
Engineering mechanics 2024. Book of full texts. Brno: Brno University of Technology, 2024 - (Fuis, V.; Hájek, P.), s. 98-101. ISBN 978-80-214-6235-9. ISSN 1805-8248.
[Engineering mechanics 2024 /30./. Milovy (CZ), 14.05.2024-16.05.2024]
Grant CEP: GA ČR(CZ) GA24-13061S
Institucionální podpora: RVO:68378297
Klíčová slova: Fokker-Planck equation * stochastic averaging * numerical solution * Galerkin approximation * van der Pol-type oscillator * partial amplitudes * exponential-polynomial-closure method
Obor OECD: Civil engineering

Assessing responses in slender engineering structures facing both deterministic harmonic and stochastic excitation is often based on an approximation by the single-degree-of-freedom van der Pol-type nonlinear model. Determining the response probability density function involves solving the Fokker-Planck equation, which is generally a challenging task. Hence, semi-analytical and numerical methods come into play. This contribution reviews several possible techniques and spotlights the exponential-polynomial-closure method. The shown results are limited, as the paper reflects an early stage of the relevant research direction.
Trvalý link: https://hdl.handle.net/11104/0353603