Original title: Identification of quasiperiodic processes in the vicinity of the resonance
Authors: Fischer, Cyril ; Náprstek, Jiří
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /21./, Jablonec nad Nisou (CZ), 20220619
Year: 2023
Language: eng
Abstract: 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.
Keywords: dynamical systems; quasiperiodic response; van der Pol equation
Project no.: GC21-32122J (CEP)
Funding provider: GA ČR
Host item entry: Programs and Algorithms of Numerical Mathematics 21, ISBN 978-80-85823-73-8

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/11104/0342094

Permalink: http://www.nusl.cz/ntk/nusl-539223


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