摘要
研究具有两个摩擦面的两自由度系统,引入随机摩擦模型,考虑摩擦力的随机特性,建立了系统的随机动力学模型。通过解耦,将系统分为确定性运动和随机运动的叠加。采用事件驱动法确定系统的运动状态,是全局stick状态,还是全局slip状态,或者是一个slip状态而另一个stick状态。在确定的Stick-slip运动状态下,分别求解确定性方程的解和随机方程的均值。实例分析发现,阻尼可以改变摩擦系统的运动模式跃迁的周期特性。噪声摄动改变了Stick-slip运动的运动模式,可以通过噪声摄动控制Stick-slip运动。
The dry firciton system have two degrees of freedom and two friction surfaces. Introducing the stochastic friction, considering the random properties established. Through decoupling,the model of system of friction, the stochastic dynamic model of dry friction was was decomposed deterministic motion and stochastic motion. The method of event-driven was used to determine the motion state of the system. It was the global stick motion,global slip motion, or one slip motion and another stick motion. When the stick-slip motion was determined, the solution of deterministic equation and the mean value of random equation are solved. Analyzing the example, comparing the deterministic model and the stochastic model, it can be concluded that the damp can change the friction characteristics of the movement. The noise perturbation changes the stick-slip motion. It can change stickslip motion of the dry system into the global slip motion. The noise can be used to control the stick-slip motion.
出处
《科学技术与工程》
2010年第6期1341-1346,共6页
Science Technology and Engineering
基金
国家自然科学基金青年基金(10702051)资助