干摩擦振子双粘着运动响应的级数形式解及粘滑边界分析  

Series solution of double-stick motion response of dry friction oscillator and stick-slip boundary analysis

作　　者：钱大帅[1] 刘占生[1] 刘镇星[1] 叶建槐[1] 

机构地区：[1]哈尔滨工业大学动力机械振动与噪声控制技术研究所,哈尔滨150001

出　　处：《振动与冲击》2013年第9期73-78,共6页Journal of Vibration and Shock

摘　　要：基于摩擦力函数的分段表达式,利用谐波平衡方法给出双粘着运动响应的级数形式解析解。双粘着运动响应仅包含奇次谐波成分,其响应幅值与粘着时长受频率比、力幅比及粘性阻尼比影响。基于级数解给出参数平面内的粘滑边界线函数。粘性阻尼增大能缩小纯滑动参数区域范围,在频率较小时影响更明显。当粘性阻尼比小于0.165 2时,粘滑边界线出现凸凹交替特征。The analytical series solution of double-stick motion response was derived based on the presented piecewise function of frictional force by using harmonic balance method. The double-stick motion response is only constituted by odd harmonic components. The response amplitude and stick duration are affected by frequency ratio, force amplitude ratio and viscous damping ratio. The stick-slip boundary function in parameter plane was derived based on the series solution. The increase of viscous damping reduces the parameter range of pure slipping motion, especially when frequency ratio is smaller. The stick-slip boundary has the feature of concave-convex alternation when viscous damping ratio is less than 0.1652.

关 键 词：干摩擦振子 粘滑运动 双粘着运动 级数解 粘滑边界 

分 类 号：O322[理学—一般力学与力学基础] O313.3[理学—力学]