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

K. C. Woo; Albert Alexander Rodger; Richard David Neilson; Marian Wiercigroch

doi:10.1007/s11012-005-5897-1

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

K. C. Woo, Albert Alexander Rodger, Richard David Neilson, Marian Wiercigroch

The University of Nottingham Malaysia Campus

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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 language	English
Pages (from-to)	269-282
Number of pages	13
Journal	Meccanica
Volume	41
Issue number	3
DOIs	https://doi.org/10.1007/s11012-005-5897-1
Publication status	Published - Jun 2006

Keywords

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

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title = "Phase Shift Adjustment for Harmonic Balance Method Applied to Vibro-impact Systems",

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.",

keywords = "phase shift, vibro-impact system, harmonic balance method, OSCILLATORS, DYNAMICS, BEAM",

author = "Woo, {K. C.} and Rodger, {Albert Alexander} and Neilson, {Richard David} and Marian Wiercigroch",

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AU - Woo, K. C.

AU - Rodger, Albert Alexander

AU - Neilson, Richard David

AU - Wiercigroch, Marian

PY - 2006/6

Y1 - 2006/6

N2 - 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.

AB - 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.

KW - phase shift

KW - vibro-impact system

KW - harmonic balance method

KW - OSCILLATORS

KW - DYNAMICS

KW - BEAM

U2 - 10.1007/s11012-005-5897-1

DO - 10.1007/s11012-005-5897-1

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SP - 269

EP - 282

JO - Meccanica

JF - Meccanica

IS - 3

ER -

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

Abstract

Keywords

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