中国机械工程 ›› 2013, Vol. 24 ›› Issue (10): 1340-1344.

• 机械基础工程 • 上一篇    下一篇

压电电机梁环耦合振子弯曲振动分析

邢继春;许立忠   

  1. 燕山大学,秦皇岛,066004
  • 出版日期:2013-05-25 发布日期:2013-05-28

Bending Vibration Analysis of Combined Ring-beam  Vibration of  a Piezoelectric Motor

Xing Jichun;Xu Lizhong   

  1. Yanshan University,Qinhuangdao,Hebei,066004
  • Online:2013-05-25 Published:2013-05-28

摘要:

提出了两种求解带圆环约束的横梁自由振动方法,并利用两种方法分别推导出带圆环约束横梁的固有频率方程及模态函数。比较两种算法所得梁的振动模态,发现并提取了两者之间的相似模态。通过实际算例得到了两种算法所求得的各阶相似模态固有频率的误差。改变带圆环约束横梁的结构参数后,分析了各参数对两种算法所得相似模态固有频率误差的影响,以及误差存在的原因,确定了两种算法的适用范围。

关键词: 带圆环约束横梁, 自由振动, 固有频率, 模态函数, 相似模态

Abstract:

Two solution methods of a beam for a combined ring-beam free vibration were  proposed.Using two methods,the natural frequency equation and modal functions for  a combined ring-beam were deduced respectively.Comparing beam vibration mode solutions by the two algorithms,the similar modes were found and extracted from two algorithms.Through a practical example,the natural frequency relative errors of similar modes by two kinds of algorithm were obtained.Changing the combined ring-beam structural parameters,the effect of parameters on similar mode natural frequency relative error by two kinds of algorithm was analysed and the causes of errors were discoved and two algorithm applicable scopes were identified.

Key words: combined ring-beam, free vibration, natural frequency, modal function, similar mode

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