Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (2): 141-146.

• 论文 • 上一篇    下一篇

THE FRACTIONAL DIMENSION IDENTIFICATION METHOD OF CRITICAL BIFURCATED PARAMETERS OF BEARING-ROTOR SYSTEM

赵玉成, 袁树清, 肖忠会, 许庆余   

  1. Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an 710049, P. R. China
  • 收稿日期:1998-11-02 修回日期:1999-08-13 出版日期:2000-02-18 发布日期:2000-02-18
  • 基金资助:
    Doctor Degree Foundation of Xi'an Jiaotong University

THE FRACTIONAL DIMENSION IDENTIFICATION METHOD OF CRITICAL BIFURCATED PARAMETERS OF BEARING-ROTOR SYSTEM

Zhao Yucheng, Yuan Shuqing, Xiao Zhonghui, Xu Qingyu   

  1. Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an 710049, P. R. China
  • Received:1998-11-02 Revised:1999-08-13 Online:2000-02-18 Published:2000-02-18
  • Supported by:
    Doctor Degree Foundation of Xi'an Jiaotong University

摘要: The stable problem of rotor system, seen in many fields, has been cared for more. Nowadays the reasons of most losing stability are caused by nonlinear behaviors. This presents higher requirements to the designing of motor system: considering nonlinear elements, avoiding the unstable parameter points or regions where nonlinear phenomena will be presented. If a family of time series of the unknown nonlinear dynamical system can only be got (may be polluted by noise), how to identify the change of motive properties at different parameters? In this paper, through the study of Jeffcott rotor system, the result that using the figures between the fractional dimension of time-serial and parameter can be gained, and the critical bifurcated parameters of bearing-rotor dynamical system can be identified.

关键词: fluid film bearing-rotor system, bifurcation, fractional dimension

Abstract: The stable problem of rotor system, seen in many fields, has been cared for more. Nowadays the reasons of most losing stability are caused by nonlinear behaviors. This presents higher requirements to the designing of motor system: considering nonlinear elements, avoiding the unstable parameter points or regions where nonlinear phenomena will be presented. If a family of time series of the unknown nonlinear dynamical system can only be got (may be polluted by noise), how to identify the change of motive properties at different parameters? In this paper, through the study of Jeffcott rotor system, the result that using the figures between the fractional dimension of time-serial and parameter can be gained, and the critical bifurcated parameters of bearing-rotor dynamical system can be identified.

Key words: fluid film bearing-rotor system, bifurcation, fractional dimension

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