Název:
Non-linear normal modes in dynamics-continuous systems
Autoři:
Náprstek, Jiří ; Fischer, Cyril Typ dokumentu: Příspěvky z konference Konference/Akce: Engineering Mechanics 2016 /22./, Svratka (CZ), 2016-05-09 / 2016-05-12
Rok:
2016
Jazyk:
eng
Abstrakt: The paper presents a continuation of an effort started last year, when the authors briefly informed about the Non-linear normal modes (NNM) concerning the version dealing with discrete systems. Although many features of the continuous formulation from the mathematical viewpoint are similar to the discrete case, a couple of specifics should be highlighted from the viewpoint of a real applicability of this tool to investigate particular dynamic systems. Three approaches are mentioned in the paper and the Galerkin-Petrov based procedure is outlined in more details. As a particular subject the cantilever prismatic beam is discussed. Non-linear normal modes for several amplitudes are shown to demonstrate the dependence of their shapes on the actual effective amplitude. Comparison with adequate linear counterpart is done.
Klíčová slova:
discretization; multi-scale method; non-linear normal modes; nonlinear dynamic systems Číslo projektu: GA15-01035S (CEP) Poskytovatel projektu: GA ČR Zdrojový dokument: Engineering Mechanics 2016, ISBN 978-80-87012-59-8, ISSN 1805-8248
Instituce: Ústav teoretické a aplikované mechaniky AV ČR
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Informace o dostupnosti dokumentu:
Dokument je dostupný na vyžádání prostřednictvím repozitáře Akademie věd. Původní záznam: http://hdl.handle.net/11104/0261229