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具有弹性效应的曲柄滑块机构的动态稳定性研究
引用本文:张志强,孙江宏,雷纪刚.具有弹性效应的曲柄滑块机构的动态稳定性研究[J].北京机械工业学院学报,2000,15(2):22-26.
作者姓名:张志强  孙江宏  雷纪刚
作者单位:北京机械工业学院机械工程系!北京100085
摘    要:讨论了连杆接头处具有弹性效应的偏心曲柄滑块机构的动态稳定性。在所建立的直接头处具有弹性效应的曲炳滑块机构的动态解析模型以及在广义坐标下推导出孤4个马修型运动方程的基础上,由具有加速收敛性的改进希尔法进行了精确求解。用周期性系数的平均值法获得了不稳定频率的近似值。绘制了不稳定频率相对于曲炳速度的样本曲线。

关 键 词:弹性效应  动态稳定性  谐振频率  同步振动

DYNAMIC STABILITY ANALYSIS OF A SLIDER-CRANK MECHANISM WITH ELASTIC EFFECTS
ZHANG Zhi-qiang,SUN Jiang-hong,LEI Ji-gang.DYNAMIC STABILITY ANALYSIS OF A SLIDER-CRANK MECHANISM WITH ELASTIC EFFECTS[J].Journal of Beijing Institute of Machinery,2000,15(2):22-26.
Authors:ZHANG Zhi-qiang  SUN Jiang-hong  LEI Ji-gang
Abstract:A study of the dynamic stability of an eccentric slider crank mechanism with elastic effects at both joints of the coupler is presented. Based on the analytic model of an eccentric slider crank mechanism with elastic effects at both joints of the coupler and four coupler Mathieu typed equations of motion in terms of the generalized coordinates of the system, the extract solution is developed from the improved Hill method with accelerated convergence. By using the mean values of the periodic coefficients, the approximations of the unstable frequencies are obtained. A sample plot of the unstable frequency with crank speed is illustrated.
Keywords:elastic effects  dynamic stability  resonant frequency  synchronous vibration
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