东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (11): 1605-1608.DOI: -

• 论著 • 上一篇    下一篇

质量慢变转子系统碰摩的可靠性分析

苏长青;张义民;   

  1. 东北大学机械工程与自动化学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-11-15 发布日期:2013-06-22
  • 通讯作者: Su, C.-Q.
  • 作者简介:-
  • 基金资助:
    国家高技术研究发展计划项目(2007AA04Z442);;

Reliability analysis of slowly variable mass rotor system with rubbing

Su, Chang-Qing (1); Zhang, Yi-Min (1)   

  1. (1) School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-11-15 Published:2013-06-22
  • Contact: Su, C.-Q.
  • About author:-
  • Supported by:
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摘要： 通过建立质量慢变转子系统的动力学方程,将转子系统的刚度、阻尼、偏心距和定子径向刚度作为随机参数,利用随机摄动理论、Kronecker代数、矩阵微分理论、随机振动理论系统地研究了质量慢变转子系统的随机响应问题.应用可靠性的应力-强度干涉模型,建立质量慢变转子系统碰摩的可靠性模型,利用Edgeworth级数和四阶矩技术,对质量慢变转子系统碰摩的可靠性进行了研究,并求出了数值解,给出了可靠度曲线.

关键词: 质量慢变转子, 碰摩, 随机响应, 随机摄动, 可靠性分析

Abstract: With the dynamic equations developed for slowly variable mass rotor system and its shaft stiffness, damping, eccentricity and radial stiffness of stator taken as random parameters, the stochastic responses of the rotor system are studied systematically by means of matrix perturbation theory, Kronecker algebra, matrix differential calculus and theory of random vibration. According to the stress-strength interference model, a reliability model of slowly variable mass rotor system with rubbing is developed. The reliability of the rubbing happening to the rotor system is obtained by way of statistical fourth moment and Edgeworth series, with the numerical solutions and reliability curves given.

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