单自由度摩擦系统离散模型

The Discrete Models on a Frictional Single Degree of Freedom System

发展了两种随机离散数学模型 :导出了一个以二维平均映射描述的随机模型 ,并建立了一个概率预报模型· 通过实例对不同模型进行了比较 ,对于平均映射模型 ,分岔图指出了外噪声对系统性质的影响 。

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.