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

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (9) : 73-78.

论文

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

钱大帅，刘占生，刘镇星，叶建槐

作者信息 +

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

QIAN Da-shuai, LIU Zhan-sheng, LIU Zhen-xing, YE Jian-huai

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文章历史 +

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0.1652时，粘滑边界线出现凸凹交替特征。

Abstract

Analytical series solution of double-stick motion response is derived based on the presented piecewise function of frictional force by using harmonic balance method. The double-stick motion response is only constituted by the odd harmonic components. The response amplitude and stick duration are affected by frequency ratio, force amplitude ratio and viscous damping ratio. Stick-slip boundary function in parameter plane is derived based on the series solution. Increase in 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.

导出引用

钱大帅;刘占生;刘镇星;叶建槐. 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[J]. 振动与冲击, 2013, 32(9): 73-78

QIAN Da-shuai;LIU Zhan-sheng;LIU Zhen-xing;YE Jian-huai. Series solution of double-stick motion response of dry friction oscillatorand stick-slip boundary analysis[J]. Journal of Vibration and Shock, 2013, 32(9): 73-78