摘要
本文通过对压电弹性体的线性本构方程直接作厚度方向的积分，并引入适当的变量及对位移的分布作一定的假设，导出了对应的二维简化板理论．考虑了四边简支板的自由振动，给出了算例，并与三维理论的结果作了比较．
Accompanied by introducing some appropriate variables and taking certain assumptions on the distributions of displacements and electric potential,integrations directly along the thickness of a plate are performed on the basic equations of 3D piezoelectricity to derive the simplified two dimensional plate theory.The free vibration problem of a simply supported piezoelectric plate is then analyzed and unmerical examples are given and compared with the exact ones.
基金
国家自然科学基金
浙江省基金
关键词
压电矩形板
自由振动
二维板理论
压电陶瓷材料
piezoelectric rectangular plate
free vibration
two dimensional simplified plate theory
