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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (9): 1045-1053.

• 论文 • 上一篇    下一篇

APPLICATION OF MECHANIZED MATHEMATICS TO ROTOR DYNAMICS

胡超, 王岩, 王立国, 黄文虎   

  1. Department of Aerospace Engineering and Mechanics, Harbin Institute of Technology, Harbin 150001, P.R.China
  • 收稿日期:2001-07-30 修回日期:2002-05-28 出版日期:2002-09-18 发布日期:2002-09-18
  • 通讯作者: ZHAO Xing-hua
  • 基金资助:

    Foundation items:the National Key Basic Research Foundation of China(G1998020317);the National Natural Science Foundation of China(19990510)

APPLICATION OF MECHANIZED MATHEMATICS TO ROTOR DYNAMICS

HU Chao, WANG Yan, WANG Li-guo, HUANG Wen-hu   

  1. Department of Aerospace Engineering and Mechanics, Harbin Institute of Technology, Harbin 150001, P.R.China
  • Received:2001-07-30 Revised:2002-05-28 Online:2002-09-18 Published:2002-09-18
  • Supported by:

    Foundation items:the National Key Basic Research Foundation of China(G1998020317);the National Natural Science Foundation of China(19990510)

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摘要： Based on the mechanized mathematics and WU Wen-tsun elimination method, using oil film forces of short-bearing model and Muszynska’ s dynamic model, the dynamical behavior of rotor-bearing system and its.stability of motion are investigated. As example, the concept of Wu characteristic set and Maple software, whirl parameters of short-bearing model, which is usually solved by the numerical method, are analyzed. At the same time, stability of zero solution of Jeffcott rotor whirl equation and stability of self-excited vibration are studied. The conditions of stable motion are obtained by using theory of nonlinear vibration.

Abstract: Based on the mechanized mathematics and WU Wen-tsun elimination method, using oil film forces of short-bearing model and Muszynska’ s dynamic model, the dynamical behavior of rotor-bearing system and its.stability of motion are investigated. As example, the concept of Wu characteristic set and Maple software, whirl parameters of short-bearing model, which is usually solved by the numerical method, are analyzed. At the same time, stability of zero solution of Jeffcott rotor whirl equation and stability of self-excited vibration are studied. The conditions of stable motion are obtained by using theory of nonlinear vibration.

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