The harmonic balance method for advanced analysis and design of nonlinear mechanical systems

T. Detroux*, L. Renson, G. Kerschen

*Corresponding author for this work

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

19 Citations (Scopus)

Abstract

As a tool for analyzing nonlinear large-scale structures, the harmonic balance (HB) method has recently received increasing attention in the structural dynamics community. However, its use was so far limited to the approximation and study of periodic solutions, and other methods as the shooting and orthogonal collocation techniques were usually preferred to further analyze these solutions and to study their bifurcations. This is why the present paper intends to demonstrate how one can take advantage of the HB method as an efficient alternative to the cited techniques. Two different applications are studied, namely the normal modes of a spacecraft and the optimization of the design of a vibration absorber. The interesting filtering feature of the HB method and the implementation of an efficient bifurcation tracking extension are illustrated.

Original languageEnglish
Title of host publicationConference Proceedings of the Society for Experimental Mechanics Series
PublisherSpringer, New York, NY
Pages19-34
Number of pages16
Volume2
ISBN (Print)9783319045214
DOIs
Publication statusPublished - 2014
Event32nd IMAC Conference and Exposition on Structural Dynamics, 2014 - Orlando, FL, United States
Duration: 3 Feb 20146 Feb 2014

Conference

Conference32nd IMAC Conference and Exposition on Structural Dynamics, 2014
CountryUnited States
CityOrlando, FL
Period3/02/146/02/14

Keywords

  • Bifurcation tracking
  • Continuation of periodic solutions
  • Harmonic balance method
  • Nonlinear normal modes
  • Nonlinear vibration absorber

Fingerprint

Dive into the research topics of 'The harmonic balance method for advanced analysis and design of nonlinear mechanical systems'. Together they form a unique fingerprint.

Cite this