压电热弹性体混合层合板的响应分析

根据广义Hamilton变分原理推导出了压电热弹性体非齐次的Hamilton正则方程.考虑热平衡方程与导热方程中变量的对偶关系,通过增加正则方程的维数,成功地将非齐次的正则方程转化为能独立求解的压电热弹性体耦合问题的齐次方程.将非齐次方程转化为齐次方程不仅使问题变得大为简化,同时也减少了数值计算的工作量.数值实例研究了温度载荷和力载荷作用下压电热弹性材料四边简支层合板的响应问题,部分算例与相关文献进行了比较.

Response analysis of hybrid laminated piezothermoelastic plate

Based upon the generalized Hamilton variation principle,the non-homogeneous Hamilton canonical equation for piezothermoelastic bodies was derived.Considering the symplectic relations of variations in the thermal equilibrium formulations and gradient equations,the non-homogeneous Hamilton canonical equation was transformed into homogeneous equation for solving independently the coupling problem of piezothermoelastic bodies by increasing the dimensions of the canonical equation.The treatment,by which the non-homogeneous equation was transformed into homogeneous equation,not only simplifies greatly the solution programs,but also reduces the workload of numerical computation.The numerical response of the laminated piezothermoelastic plate with four simply supported edges under thermal and dynamic load was studied.Part of examples was compared with relative reference.