Nonlinear normal modes, Part I: A useful framework for the structural dynamicist

Kerschen, G; Peeters, M; Golinval, JC; Vakakis, AF

dc.contributor.author	Kerschen, G	en
dc.contributor.author	Peeters, M	en
dc.contributor.author	Golinval, JC	en
dc.contributor.author	Vakakis, AF	en
dc.date.accessioned	2014-03-01T01:31:22Z
dc.date.available	2014-03-01T01:31:22Z
dc.date.issued	2009	en
dc.identifier.issn	0888-3270	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19791
dc.subject	Modal analysis	en
dc.subject	Nonlinear dynamics	en
dc.subject	Nonlinear normal modes	en
dc.subject	Time-frequency analysis	en
dc.subject	Wavelet transform	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Numerical methods	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Modal analysis	en
dc.subject.other	Nonlinear dynamics	en
dc.subject.other	Nonlinear normal modes	en
dc.subject.other	Time-frequency analysis	en
dc.subject.other	Wavelet transform	en
dc.subject.other	Nonlinear analysis	en
dc.title	Nonlinear normal modes, Part I: A useful framework for the structural dynamicist	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ymssp.2008.04.002	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ymssp.2008.04.002	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its companion, Part II. Because there is virtually no application of the NNMs to large-scale engineering structures, these papers are an attempt to highlight several aspects that might drive their development in the future. Specifically, we support that (i) numerical methods for the continuation of periodic solutions pave the way for an effective and practical computation of NNMs, and (ii) time-frequency analysis is particularly suitable for the analysis of the resulting dynamics. Another objective of the present paper is to describe, in simple terms, and to illustrate the fundamental properties of NNMs. This is achieved to convince the structural dynamicist not necessarily acquainted with them that they are a useful framework for the analysis of nonlinear vibrating structures. (C) 2008 Elsevier Ltd. All rights reserved.	en
heal.publisher	ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD	en
heal.journalName	Mechanical Systems and Signal Processing	en
dc.identifier.doi	10.1016/j.ymssp.2008.04.002	en
dc.identifier.isi	ISI:000260956900010	en
dc.identifier.volume	23	en
dc.identifier.issue	1	en
dc.identifier.spage	170	en
dc.identifier.epage	194	en