Original title: Vibration and stability of a self-excited aeroelastic SDOF system with random coefficient perturbations
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: Computational mechanics 2024 /39./., Srní (CZ), 20241104
Year: 2024
Language: eng
Abstract: A system with aerodynamic self-excitation and random parametric and additive perturbations can be stabilized by non-linear damping, within certain limits, in the sense of stability in probability. Although the system remains unstable in terms of asymptotic stability, its response will exhibit an elevated but still finite variance. The potential for stabilization depends on achieving a critical level of non-linearity and the degree of correlation between parametric and additive noise. This contribution demonstrates this effect by analyzing the stochastic response computed using the stochastic linearisation method.
Keywords: Fokker-Planck equation; parametric and additive perturbations; stochastic linearisation method; stochastic 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/11104/0357805

Permalink: http://www.nusl.cz/ntk/nusl-668238


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