压电复合材料矩形厚板弯曲的三维分析

基金项目: 国家自然科学基金;浙江省基金资助项目

详细信息

THREE DIMENSIONAL ANALYSIS OF BENDING PROBLEMS OF THICK PIEZOELECTRIC COMPOSITE RECTANGULAR PLATES

摘要

摘要: 本文从压电弹性材料的三维理论出发,利用状态空间方法分析了四边简支的压电复合材料矩形板受任意荷载作用的弯曲问题。由于不作任何简化假设,故可适用于任意厚度矩形板的精确分析。文中得到了相应传递矩阵的直接表达式,从而在计算中避免了矩阵求逆,最后给出了算例。
- 压电复合材料 /
- 矩形板 /
- 三维分析 /
- 状态空间法
Abstract: Based on the three dimensional theory of piezoelectric elasticity,this paper analyzes the bending problem of simply supported thick piezoelectric composite rectangular plate with the method of state formulation. Because no assumption is introduced,the method can be used to analyzc this kind of plate with various thicknesses exactly. An intuitive expression is also obtained for the transfor matrix and the calculation is then simplified. At the end of the paper,numerical examples are given and results are discussed.
- piezoelectric coxnpositc /
- rectangular plate /
- three dimensional analysis /
- state space formulation