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压电-弹性层合梁自由振动分析的新方法
引用本文:李阳,石志飞.压电-弹性层合梁自由振动分析的新方法[J].力学学报,2008,40(4):564-571.
作者姓名:李阳  石志飞
作者单位:北京交通大学土木建筑工程学院 北京交通大学土木建筑工程学院
摘    要:将状态空间法和微分求积法相结合,分析了压电-弹性层合梁的自由振动. 通过微分求积把状态方程在每一个节点处离散,进而求得解答. 选用不同的节点数目, 分析了方法的收敛性. 计算结果与相关文献的结果能较好地符合. 该方法 对于分析压电-弹性层合梁的工程振动问题非常方便.

关 键 词:压电材料  层合梁  自由振动  状态空间法  微分求积法
收稿时间:2007-09-12
修稿时间:2008-01-04

A NEW METHOD FOR FREE VIBRATION ANALYSIS OF PIEZOELECTRIC-ELASTIC LAMINATED BEAMS
Li Yang,Si Zhifei.A NEW METHOD FOR FREE VIBRATION ANALYSIS OF PIEZOELECTRIC-ELASTIC LAMINATED BEAMS[J].chinese journal of theoretical and applied mechanics,2008,40(4):564-571.
Authors:Li Yang  Si Zhifei
Institution:School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China
Abstract:Free vibration of the piezoelectric-elastic laminated beams is studied by combining the state-space method and differential quadrature method. The state equations are dispersed at every sample point by using the differential quadrature technique to obtain the solutions. The convergence of the present method is also studied by choosing different number of sample points. The obtained results are validated to show that the developed method is convenient for vibration analysis of piezoelectric-elastic laminated beams.
Keywords:piezoeletric materials  laminated beam  free vibration  state-space method  differential quadrature method  
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