Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (8): 956-964.

• 论文 • 上一篇    下一篇

THE DISCRETE MODELS ON A FRICTIONAL SINGLE DEGREE OF FREEDOM SYSTEM

冯奇, 张相庭   

  1. Key Laboratory of Solid Mechanics of MOE, Tongji University, Shanghai 200092, P. R. China
  • 收稿日期:1999-11-09 修回日期:2001-03-13 出版日期:2001-08-18 发布日期:2001-08-18
  • 基金资助:
    Key Project Science Foundation of Shanghai Education Committee

THE DISCRETE MODELS ON A FRICTIONAL SINGLE DEGREE OF FREEDOM SYSTEM

FENG Qi, ZHANG Xiang-ting   

  1. Key Laboratory of Solid Mechanics of MOE, Tongji University, Shanghai 200092, P. R. China
  • Received:1999-11-09 Revised:2001-03-13 Online:2001-08-18 Published:2001-08-18
  • Supported by:
    Key Project Science Foundation of Shanghai Education Committee

摘要: Two stochastic models on simple random system with friction were developed. One of them was a discrete model by a two-dimensional mean map applied to describe random stick-slip motion. The numerical examples show that external noise can reduce the complexity of the system behavior. Secondly, a probability model described was established with coexistence of stick-slip and slip motions. The numerical results point out that this model possesses pure stochastic behavior.

Abstract: Two stochastic models on simple random system with friction were developed. One of them was a discrete model by a two-dimensional mean map applied to describe random stick-slip motion. The numerical examples show that external noise can reduce the complexity of the system behavior. Secondly, a probability model described was established with coexistence of stick-slip and slip motions. The numerical results point out that this model possesses pure stochastic behavior.

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