Simplifying Transformations for Nonlinear Systems: Part II, Statistical Analysis of Harmonic Cancellation

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

The first paper in this short sequence described the idea of a simplifying transformation and applied the concept to a numerical optimisation-based variant of normal form analysis. The idea of the numerical normal form transformation was simply to eliminate or reduce the contribution of a pre-defined set of harmonics in the system response. It was shown that reducing the defined harmonics could lead to amplification of other components of the response. The idea of the current paper is to conduct a Monte Carlo worst-case analysis to investigate how badly unconstrained harmonics might be amplified by the optimisation.
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
Pages321-326
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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