Identification of quasiperiodic processes in the vicinity of the resonance

0570755 - ÚTAM 2024 RIV CZ eng C - Conference Paper (international conference)
Fischer, Cyril - Náprstek, Jiří
Identification of quasiperiodic processes in the vicinity of the resonance.
Programs and Algorithms of Numerical Mathematics 21. Vol. 21. Prague: Institute of Mathematics CAS, 2023 - (Chleboun, J.; Kůs, P.; Papež, J.; Rozložnı́k, M.; Segeth, K.; Šı́stek, J.), s. 57-64. ISBN 978-80-85823-73-8.
[Programs and Algorithms of Numerical Mathematics /21./. Jablonec nad Nisou (CZ), 19.06.2022-24.06.2022]
R&D Projects: GA ČR(CZ) GC21-32122J
Institutional support: RVO:68378297
Keywords : dynamical systems * quasiperiodic response * van der Pol equation
OECD category: Civil engineering

In nonlinear dynamical systems, strong quasiperiodic beating effects appear due to combination of self-excited and forced vibration. The presence of symmetric or asymmetric beatings indicates an exchange of energy between individual degrees of freedom of the model or by multiple close dominant frequencies. This effect is illustrated by the case of the van der Pol equation in the vicinity of resonance. The approximate analysis of these nonlinear effects uses the harmonic balance method and the multiple scale method.
Permanent Link: https://hdl.handle.net/11104/0342094