Phase Shift Adjustment for Harmonic Balance Method Applied to Vibro-impact Systems

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Abstract

This work addresses the phase shift adjustment between the external forcing and the responses for strongly non-linear dynamic systems calculated by Harmonic Balance Method (HBM). The HBM offers fast and robust solutions for strongly non-linear systems operating in periodic regimes, however, the phase information when applying the harmonic balance method is lost. In this paper, a practical scheme for calculating the phase difference for a piecewise oscillator mimicking a vibro-impact system is proposed.

Original languageEnglish
Pages (from-to)269-282
Number of pages13
JournalMeccanica
Volume41
Issue number3
DOIs
Publication statusPublished - Jun 2006

Keywords

  • phase shift
  • vibro-impact system
  • harmonic balance method
  • OSCILLATORS
  • DYNAMICS
  • BEAM

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