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Analysis of limit cycle mechanism for two-mass system with backlash nonlinearity

  • Can Wang
  • , Ming Yang
  • , Weilong Zheng
  • , Xin Lv
  • , Kun Hu
  • , Dianguo Xu
  • Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The main objective of this paper is to focus on the study of limit cycle characteristics due to backlash nonlinearity in drive system. For a two-mass system, the existence of gear reduction mechanism or ball screw will introduce transmission backlash inevitably, which can aggravate mechanical resonance. Therefore, it is essential to study the limit cycle characteristics, so as to provide a good theoretical basis for limit cycle suppression. Firstly, based on describing function analysis, the system is separated into linear part and nonlinear part in order to facilitate the analysis. Then the stability and oscillation frequency of limit cycle are predicted. Through the study, it is found that the increasing of backlash amplitude does not affect the limit cycle frequency, yet it will aggravate the oscillation amplitude. Moreover, the limit cycle frequency and amplitude will increase with the increasing of system control stiffness. Finally, the theoretical analyses are confirmed by the experimental results.

Original languageEnglish
Title of host publicationProceedings of the IECON 2016 - 42nd Annual Conference of the Industrial Electronics Society
PublisherIEEE Computer Society
Pages500-505
Number of pages6
ISBN (Electronic)9781509034741
DOIs
StatePublished - 21 Dec 2016
Event42nd Conference of the Industrial Electronics Society, IECON 2016 - Florence, Italy
Duration: 24 Oct 201627 Oct 2016

Publication series

NameIECON Proceedings (Industrial Electronics Conference)

Conference

Conference42nd Conference of the Industrial Electronics Society, IECON 2016
Country/TerritoryItaly
CityFlorence
Period24/10/1627/10/16

Keywords

  • Backlash
  • Describing function analysis
  • Limit cycle oscillation
  • Two-mass system

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