压电层合板多场耦合有限元分析及其优化设计

Finite element analysis and design optimization of piezoelectric multilayered plates with piezothermoelastic coupling

从压电本构方程出发,采用高阶位移场,高阶电势分布和线性温度分布假设,借助Hamilton原理推导了压电层合板结构的力-电-热场耦合的高阶有限元模型。应用ANSYS/APDL语言,编写了热载荷作用下压电层合悬臂板的有限元分析程序。在此基础上,采用零阶优化方法和一阶优化方法对比分析了四边简支板的形状最优控制设计。两种方法吻合良好,验证了程序的正确性。

Based on piezoelectric from the constitutive equation, higher order displacement field, the high order electrical potential field and the linear temperature field were adopted. Finite element formulations coupled with piezothermoelastie effects are established using the Hamilton principle. Application of ANSYS/APDL language,Compile program of finite element analysis of piezoelectric cantilever plate under thermal loads. On this basis, Analysis optimal designing and shape control for multilayered plate in zero order and first order algorithms. Numerical results show that two methods are very valid. Verify the procedure is correct.