东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2004, Vol. 25 ›› Issue (8): 786-789.DOI: -

• 论著 • 上一篇    下一篇

基于Taylor变换法的转子系统非线性动力学特性

张晓伟;姚红良;陈宏;闻邦椿   

  1. 东北大学机械工程与自动化学院;东北大学机械工程与自动化学院;东北大学机械工程与自动化学院;东北大学机械工程与自动化学院 辽宁沈阳　110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2004-08-15 发布日期:2013-06-24
  • 通讯作者: Zhang, X.-W.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(50275024)

Taylor transform method for nonlinear dynamic characteristics of rotor system

Zhang, Xiao-Wei (1); Yao, Hong-Liang (1); Chen, Hong (1); Wen, Bang-Chun (1)   

  1. (1) Sch. of Mech. Eng. and Automat., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-08-15 Published:2013-06-24
  • Contact: Zhang, X.-W.
  • About author:-
  • Supported by:
    -

RichHTML

0

PDF (PC)

603

摘要： 在考虑了非线性油膜力的基础上,建立了转子系统的非线性动力学模型,引入了求解非线性微分方程的Taylor变换法,并将转子振动系统原分析模型变换为离散域内的代数方程组,采用Taylor变换法,对第一跨转子振动系统动力学特性进行非线性分析,求得转子系统的响应,找出转子系统的分岔规律,用分岔图、频谱图、庞加莱映射、轴心轨迹等多种方法表现了转子系统的非线性现象,结果表明考虑油膜力影响后,转子系统的运动状态随转速增加由周期至二倍周期再至周期再至拟周期,或者经周期运动直接至混沌运动·

关键词: 非线性动力系统, Taylor变换法, 转子系统, 油膜力, 分岔, 混沌

Abstract: Considering the nonlinear oil-film force, a nonlinear dynamic model of rotor system was established, with Taylor transform method introduced to transform the original analysis model of rotor vibration system into a set of algebraic equations in discrete domain and analyze nonlinearly the dynamic characteristics of the 1st-span rotor vibration system. The responses of the rotor system were thus obtained with the bifurcation rule found out. The nonlinear phenomena of rotor system were represented by bifurcation diagram, frequency spectrum, Poincare mapping and trajectory of the journal center of the system. The results indicate that the motion state of rotor system will change in such a sequence as periodic-double periodic-periodic-quasi-periodic or change directly from periodic to chaos with the increase of rotate speed as the film force taken into account.

中图分类号: