Název: FEM-based modeling of generalized amplitudes in stochastic van der Pol systems
Autoři: Fischer, Cyril ; Náprstek, Jiří
Typ dokumentu: Příspěvky z konference
Konference/Akce: Engineering mechanics 2025. International conference /31./, Medlov (CZ), 20250512
Rok: 2025
Jazyk: eng
Abstrakt: This paper investigates various approaches for approximating the stationary aeroelastic response characteristics under near-resonance conditions, with a focus on the lock-in regime. A reduced form of the Fokker–Planck equation—derived via stochastic averaging—is used to represent the long-term behavior. Comparative analysis is performed between traditional finite element solutions and refined semi-analytical techniques based on a Galerkin-type expansion of an analytical solution available for exact resonance conditions. Although full verification via Monte Carlo simulations is constrained due to the elusive nature of the generalized partial amplitudes inherent in the reduced FPE framework, indicative comparisons reveal an unexpectedly analogy across methods. These results highlight both the practical value and the limitations of different modeling strategies in the probabilistic assessment of nonlinear systems.\n
Klíčová slova: finite element method; Fokker-Planck equation; galerkin approximation; Monte Carlo simulation; stochastic averaging
Číslo projektu: GA24-13061S (CEP)
Poskytovatel projektu: GA ČR
Zdrojový dokument: Engineering mechanics 2025. Book of full texts, ISBN 978-80-86246-96-3, ISSN 1805-8248

Instituce: Ústav teoretické a aplikované mechaniky AV ČR (web)
Informace o dostupnosti dokumentu: Dokument je dostupný v repozitáři Akademie věd.
Původní záznam: https://hdl.handle.net/11104/0366378

Trvalý odkaz NUŠL: http://www.nusl.cz/ntk/nusl-679007


Záznam je zařazen do těchto sbírek:
Věda a výzkum > AV ČR > Ústav teoretické a aplikované mechaniky
Konferenční materiály > Příspěvky z konference