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干摩擦刹车系统的自激振动和Lyapunov指数计算

发表时间:2010-08-15  浏览量:1196  下载量:562
全部作者: 丁千,李博,贾尚帅
作者单位: 天津大学机械工程学院
摘 要: 将非光滑动力系统Lyapunov指数的数值计算方法应用于一类刹车系统模型。结合数值仿真,分析随着摩擦盘速度减小,切向静平衡状态失稳后出现的干摩擦自激振动现象。结果显示:所得到的Lyapunov指数与分岔图完全对应,在自激振动中存在混沌运动。随着摩擦副之间静摩擦系数的增大,系统的最大Lyapunov指数减小,并且在增大到一定程度后,由正变为负。计算还表明:随着刹车压力的增大,摩擦盘速度降低,摩擦块在法向上的振动很快就达到了平衡点,而在切向上的振动逐渐减小。
关 键 词: 动力学与控制;刹车系统;干摩擦;自激振动;Lyapunov指数
Title: The self excited vibration analysis of a disc brake system and calculation of Lyapunov exponents
Author: DING Qian, LI Bo, JIA Shangshuai
Organization: School of Mechanical Engineering, Tianjin University
Abstract: The calculation method of Lyapunov exponents of non�smooth systems is applied to an automotive disc brake system. Combining with numerical simulations, the dry friction induced self�excited motion, following the instability of the tangential equilibrium as the decrease of disc velocity, is analyzed. The chaotic motion existing in the self�excited motions is revealed by both the bifurcation diagram and the Lyapunov exponents. Results also show that the maximum Lyapunov exponent is decreased as increase of the static friction coefficient between the brake parts. As the increase of normal pressure force, the speed of the rotating disk is decreased. In the same time, the vibration of the brake pad in normal direction is quickly damped. Differently the vibration in tangential direction decreases gradually.
Key words: dynamics and control; brake system; dry friction; self�excited vibration; Lyapunov exponents
发表期数: 2010年8月第15期
引用格式: 丁千,李博,贾尚帅. 干摩擦刹车系统的自激振动和Lyapunov指数计算[J]. 中国科技论文在线精品论文,2010,3(15):1625-1630.
 
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