Self-excited and Forced Oscillations with Solid Friction: 2nd Report, Occurrence of Limit Cycles and Evaluation of Solutions in Case of Combined Friction-Velocity Characteristics

Eisuke Takano, Hidenobu Kawaguti, Xiang Yong Zhang, Masato Saeki

研究成果: Article査読

抄録

Forced frictional oscillations in a self-excited system occurred when the maximum static friction force did not become an isolation point and the kinetic friction force was given as a combined function of the relative sliding velocity composed of linear and hyperbolic functions. This process of oscillation was reviewed by the averaging method in continuation of the previous report. The properties of the limit cycle occurring where there was only one unstable first approximation solution of the harmonic oscillation with the values of the oscillation force circular frequency and the moving surface velocity are explained in this report. Various characteristics of the resultant stable, nonharmonic oscillations are also reviewed. By comparing results of the previous report with highly accurate, piecewise linear approximation solution, it was determined that this averaging method workes quite well and therefore is an effective method for judging the stability of the solution. It was learned that the highly accurate solution of the sliding motion could be estimated quantitatively by the stable first approximation solution using the averaging method. The unstable region in the first approximation solution corresponded with the occurrence region of the non-harmonic oscillations in the highly accurate solution. The solution by the averaging method showed the qualitative change of the amplitude.

本文言語English
ページ(範囲)1705-1711
ページ数7
ジャーナルNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
67
658
DOI
出版ステータスPublished - 2001 1 1
外部発表はい

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

フィンガープリント 「Self-excited and Forced Oscillations with Solid Friction: 2nd Report, Occurrence of Limit Cycles and Evaluation of Solutions in Case of Combined Friction-Velocity Characteristics」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル