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随机摩擦系统
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  random friction systems
    (3) modeling of discrete models on a class of random friction systems.
    (3)建立了一类随机摩擦系统的离散模型;
  random friction systems
    (3) modeling of discrete models on a class of random friction systems.
    (3)建立了一类随机摩擦系统的离散模型;
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>=Recently, scientists and engineers pay attention to the non-smooth mechanics, as non-smooth models overstep the framework of mechanical systems, since they also apply for instance to electrical and neural networks. The study of non-smooth dynamical systems subject to unilateral constraints can be split into different classes that more or less reflect the interest of the different groups of researchers. One title of them is modeling of Poincar 6 map on non-smooth systems. With this potential method one can...

>=Recently, scientists and engineers pay attention to the non-smooth mechanics, as non-smooth models overstep the framework of mechanical systems, since they also apply for instance to electrical and neural networks. The study of non-smooth dynamical systems subject to unilateral constraints can be split into different classes that more or less reflect the interest of the different groups of researchers. One title of them is modeling of Poincar 6 map on non-smooth systems. With this potential method one can save a lot of times on computer. Unfortunately, even for very simple systems, it may be impossible to obtain the impact Poincare map. For deterministic systems this problem has always been studied by analytical, numerical and experimental methods, but for random system, up to now one can find few references. In this paper, results by author studied in the field of stochastic non-smooth mechanics will be presented. Among them one may find the following ones: (1) systemic modeling of discrete models on a class of random vibro-impact systems; (2) modeling of discrete models for marine engine; (3) modeling of discrete models on a class of random friction systems. The results show that those systems possess complex nonlinear behaviors.

近年来,非光滑力学引起极大的关注,因为非光滑模型不仅可以应用于力学系统的框架,而且可以应用到电网络和神经网络研究中。带单向约束的非光滑动力系统能分成不同的类型问题,它们或多或少反映了不同的研究者的兴趣。其中一个题目是关于非光滑系统的庞加莱映射的建立。采用该方法能大量地节约计算机时间,但不幸的是仅有极简单的系统才能导出其庞加莱映射。对于确定性系统,这个问题已被采用解析方法,数值方法和试验方法研究,但是对于随机系统,至今能找到的文献不多。在本文中,作者介绍自己在随机非光滑力学领域的研究成果。其中包括:(1)系统地建立了一类随机碰撞系统的离散模型;(2)建立艇用动力系统的近似离散模型;(3)建立了一类随机摩擦系统的离散模型;研究结果表明这些系统具有复杂的非线性性质。

 
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