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EXACT THREE DIMENSIONAL ANALYSIS OF THE STABILITY OF LAMINATED TRANSVERSELY ISOTROPIC PIEZOELECTRIC RECTANGULAR PLATES
Author(s): CAI Jinbiao, YE Guiru, CHEN Weiqiu, DING Zuojiang
Pages: 69-
73
Year: 2002
Issue:
1
Journal: ACTA MATERIAE COMPOSITAE SINICA
Keyword: 横观各向同性; 层合压电矩形板; 状态空间法; 稳定;
Abstract: 从横观各向同性压电弹性力学的三维基本方程出发,通过引入位移函数和应力函数,构造了两类相互独立的状态空间方程,使原方程解耦成两个低阶方程,有利于具体问题的求解.对于四边简支压电层合矩形板面内双向均匀受压的稳定问题,建立了层合板上下表面状态变量间的关系式,利用边界条件进一步导出特征方程.发现存在两类彼此无关的稳定形式:第一类对应板的纯面内稳定,而第二类则是一般意义上的板的弯曲稳定.给出了数值结果,并考察了相关参数的影响.
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