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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (6): 707-714.

• 论文 • 上一篇    下一篇

DYNAMIC MODELING AND SIMULATION OF FLEXIBLE CABLE WITH LARGE SAG

李宾1, 李映辉2, 殷学纲3   

  1. 1. Architectural Engineering Department, Logistic Engineering College, Chongqing 400041, P R China;
    2. Engineering M echanics Department, Chongqing University, Chongqing 400044, P R China;
    3. National Key Laboratory on Mechanical Transmission, Chongqing University, Chongqing 400044, P R China
  • 收稿日期:1999-04-02 修回日期:2000-03-06 出版日期:2000-06-18 发布日期:2000-06-18
  • 基金资助:
    the National Natural Science Foundation of China(59635140);Doctor Point Fund of National Education Committee;Parent Company Fund of Aviation Industry

DYNAMIC MODELING AND SIMULATION OF FLEXIBLE CABLE WITH LARGE SAG

Li Bin1, Li Yinghui2, Ying Xuegang3   

  1. 1. Architectural Engineering Department, Logistic Engineering College, Chongqing 400041, P R China;
    2. Engineering M echanics Department, Chongqing University, Chongqing 400044, P R China;
    3. National Key Laboratory on Mechanical Transmission, Chongqing University, Chongqing 400044, P R China
  • Received:1999-04-02 Revised:2000-03-06 Online:2000-06-18 Published:2000-06-18
  • Supported by:
    the National Natural Science Foundation of China(59635140);Doctor Point Fund of National Education Committee;Parent Company Fund of Aviation Industry

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摘要： Discrete model of flexible cable with large sag is established by using multiple rigid body-spherical hinge model, and dynamic equation of that discrete model is derived according to dynamics theory of multiple rigid body system. Displacement and velocity of system are revised to eliminate violation phenomenon of the differential-algebra equation in numerical simulation based on the theory of generalized inverse of matrices. Numerical simulation proves the validity of our method.

Abstract: Discrete model of flexible cable with large sag is established by using multiple rigid body-spherical hinge model, and dynamic equation of that discrete model is derived according to dynamics theory of multiple rigid body system. Displacement and velocity of system are revised to eliminate violation phenomenon of the differential-algebra equation in numerical simulation based on the theory of generalized inverse of matrices. Numerical simulation proves the validity of our method.

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