Original title: Non-linear normal modes in dynamics-continuous systems
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: Engineering Mechanics 2016 /22./, Svratka (CZ), 2016-05-09 / 2016-05-12
Year: 2016
Language: eng
Abstract: 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.
Keywords: discretization; multi-scale method; non-linear normal modes; nonlinear dynamic systems
Project no.: GA15-01035S (CEP)
Funding provider: GA ČR
Host item entry: Engineering Mechanics 2016, ISBN 978-80-87012-59-8, ISSN 1805-8248

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available on demand via the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0261229

Permalink: http://www.nusl.cz/ntk/nusl-253827


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