摘要
提出了一种压电层合板壳的一阶剪切变形理论.采用Hamilton原理、压电理论和层合板壳的一阶剪切变形板壳理论,推导了压电层合板壳系统的运动方程.根据一阶剪切变形理论,得到压电层合壳的应变位移关系;并由复合材料板壳的广义内力公式和压电本构关系,导出压电层合壳的广义内力-位移-电场关系;利用Hamilton原理进行变分推导,得到压电层合板壳剪切变形理论的运动方程,以及力学和电学边界条件.该理论可应用于含有多层压电材料铺层的层合板壳。
A first order shear deformation theory of piezoelectric shell was proposed, which is based on Hamilton's principal, linear piezoelectricity theory and first order shear deformation laminated shell theory. By using of the first order shear deformation shell theory, the strain displacement relationships were presented. The formulas of general force displacement electric fields for piezoelectric laminated shell were derived according to the laminate theory and piezoelectric constitutive equations. By carrying out the Hamilton's variations, the equations of motions and the mechanical and electric bounding conditions were developed. The deduced theory of piezoelectric shell system is very generic, which can be applied to multi layers piezoelectric shell consisting of common composite laminae and/or piezoelectric laminae.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2000年第1期76-79,86,共5页
Journal of Shanghai Jiaotong University
关键词
复合材料
压电层合板壳
剪切变形
弹性体
composite material
piezoelectric laminated shell
laminated theory
piezoelectric material
coupling of mechanics and electricity
