Nonlinear normal modes of nonconservative systems

L. Renson*, G. Kerschen

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

4 Citations (Scopus)

Abstract

Linear modal analysis is a mature tool enjoying various applications ranging from bridges to satellites. Nevertheless, modal analysis fails in the presence of nonlinear dynamical phenomena and the development of a practical nonlinear analog of modal analysis is a current research topic. Recently, numerical techniques (e.g., harmonic balance, continuation of periodic solutions) were developed for the computation of nonlinear normal modes (NNMs). Because these methods arc limited to conservative systems, the present study targets the computation of NNMs for nonconservative systems. Their definition as invariant manifolds in phase space is considered. Specifically, a new finite element technique is proposed to solve the set of partial differential equations governing the manifold geometry.

Original languageEnglish
Title of host publicationConference Proceedings of the Society for Experimental Mechanics Series
Pages189-202
Number of pages14
Volume1
DOIs
Publication statusPublished - 2013
Event31st IMAC, A Conference on Structural Dynamics, 2013 - Garden Grove, CA, United States
Duration: 11 Feb 201314 Feb 2013

Conference

Conference31st IMAC, A Conference on Structural Dynamics, 2013
CountryUnited States
CityGarden Grove, CA
Period11/02/1314/02/13

Keywords

  • Invariant manifold
  • Nonconservative systems
  • Nonlinear modal analysis
  • Nonlinear normal modes

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