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The Discrete Models on a Frictional Single Degree of Freedom System

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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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Authors and Affiliations

  1. Key Laboratory of Solid Mechanics of MOE, Tongji University, Shanghai, 200092, P R China

    Qi Feng & Xiang-ting Zhang

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  1. Qi Feng
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  2. Xiang-ting Zhang
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Feng, Q., Zhang, Xt. The Discrete Models on a Frictional Single Degree of Freedom System. Applied Mathematics and Mechanics 22, 956–964 (2001). https://doi.org/10.1023/A:1016302612533

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