Simplifying Transformations for Nonlinear Systems: Part I, An Optimisation-Based Variant of Normal Form Analysis

N Dervilis, Keith Worden, David J Wagg, Simon A Neild

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

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Abstract

This paper introduces the idea of a ‘simplifying transformation’ for nonlinear structural dynamic systems. The idea simply stated; is to bring under one heading, those transformations which ‘simplify’ structural dynamic systems or responses in some sense. The equations of motion may be cast in a simpler form or decoupled (and in this sense, nonlinear modal analysis is encompassed) or the responses may be modified in order to isolate and remove certain components. It is the latter sense of simplification which is considered in this paper. One can regard normal form analysis in a way as the removal of superharmonic content from nonlinear system response. In the current paper, this problem is cast in an optimisation form and the differential evolution algorithm is used.
Original languageEnglish
Title of host publicationNonlinear Dynamics, Volume 1
Subtitle of host publicationProceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015
EditorsGaëtan Kerschen
PublisherSpringer
Pages315-320
Number of pages6
ISBN (Electronic)9783319152219
ISBN (Print)9783319152202
DOIs
Publication statusPublished - 14 Aug 2015
Event33rd IMAC Conference and Exposition on Structural Dynamics, 2015 - Orlando, FL, United States
Duration: 2 Feb 20155 Feb 2015

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
PublisherSpringer
ISSN (Print)2191-5644

Conference

Conference33rd IMAC Conference and Exposition on Structural Dynamics, 2015
CountryUnited States
CityOrlando, FL
Period2/02/155/02/15

Keywords

  • Nonlinearity
  • Differential evolution
  • Optimisation
  • Simplifying transformation
  • Superharmonics

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