库仑摩擦对机械振动的影响

摘要

The relationship between Coulomb friction and motion is non-linear, non-smooth, so that the dynamic be-havior of the vibration system is more abundant. In this paper,the effect of Coulomb friction on the free vibration and forced vibration of single degree of freedom system is discussed. The state trajectory of solution in the phase space is analyzed by using MATLAB,then some peculiar dynamical behavior of vibration system with dry friction is found out.%库仑摩擦力与运动的关系是非线性、非光滑的，从而使振动系统的动力学行为更加丰富。本文讨论库仑摩擦对单自由度系统自由振动及受迫振动的影响。将干摩擦阻尼系统与线性阻尼系统进行对比，借助MATLAB数值计算工具，分析两种系统在相空间中解的状态轨迹，得出干摩擦振动系统一些特有的动力学行为。