摘要
研究了杜芬型滑移系统的自由振动特征。推导了系统自由振动停滞区和相轨线的解析表达式,计算分析了滑移振动停滞区长度、相轨线及残余滑移的变化规律。结果表明,停滞区长度随摩擦系数单调增加而随线性与非线性恢复力参数单调减小;振子最终停滞的位置具有随机性,残余滑移在整个停滞区间内呈均匀分布。
The free vibrational properties of Duffing-type sliding systems are studied. The analytic formulas for the backwater region and phase trajectories of the free vibration are derived, and the variation laws of the length of the standstill region, the phase trajectory and the remaining displacement are analyzed by numerical calculations. The results demonstrate that the length of the backwater region increases monotonously with the friction coefficient and decreases with the linear and the non-linear restoring force parameters. The ultimate positions of the oscillator are stochastic and remaining displacements show the uniform distribution in the whole backwater region.
出处
《振动与冲击》
EI
CSCD
北大核心
2008年第9期23-25,共3页
Journal of Vibration and Shock
基金
国家自然科学基金(50478050)
河南省高等学校创新人才基金资助项目
关键词
杜芬型滑移系统
自由振动
相平面
停滞区
残余滑移
duffing-type sliding system
free vibration
phase plane
backwater region
remaining displacement
