Applied Mathematics and Mechanics

, Volume 22, Issue 8, pp 956–964 | Cite as

The discrete models on a frictional single degree of freedom system

  • Feng Qi
  • Zhang Xiang-ting


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 exaples 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.

Key words

stochastic frictional system stick-slip motion stochastic chaos 

CLC number



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Copyright information

© Shanghai University Press 2001

Authors and Affiliations

  • Feng Qi
    • 1
  • Zhang Xiang-ting
    • 1
  1. 1.Key Laboratory of Solid Mechanics of MOETongji UniversityShanghaiP R China

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