Original title: Solution methods for an aeroelastic problem with combined harmonic and stochastic excitation
Authors: Fischer, Cyril ; Náprstek, Jiří
Document type: Papers
Conference/Event: Engineering mechanics 2024 /30./, Milovy (CZ), 20240514
Year: 2024
Language: eng
Abstract: 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.
Keywords: exponential-polynomial-closure method; Fokker-Planck equation; Galerkin approximation; numerical solution; partial amplitudes; stochastic averaging; van der Pol-type oscillator
Project no.: GA24-13061S (CEP)
Funding provider: GA ČR
Host item entry: Engineering mechanics 2024. Book of full texts, ISBN 978-80-214-6235-9, ISSN 1805-8248

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0353603

Permalink: http://www.nusl.cz/ntk/nusl-614487


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Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers