压电热弹性体开口壳的响应分析

根据广义的Hamilton变分原理推导出了压电热弹性体非齐次的Hamilton正则方程。结合压电热弹性体平衡方程和热平衡方程,成功地导出了压电热弹性体机、电、热耦合问题的齐次状态方程。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开口壳的响应问题。

Response Analysis of Laminated Piezothermoelastic Open Cylindrical Shells

In terms of the generalized Hamilton variation principle,the non-homogeneous Hamilton canonical equation for piezothermoelastic bodies was derived.The homogeneous state control equations with mechanic electric heat coupling effect of piezothermoelastic body was derived by uniting the static equilibrium equations,the charge displacement equilibrium equations and thermal flow equilibrium equations.The treatment,by which the non-homogeneous equation was transformed into homogeneous equation,not only simplifies greatly the solution programs,but also plays the workload of numerical computation down.The numerical response of the laminated piezothermoelastic open cylindrical shells with four simply supported edges under thermal and dynamic load was studied.