功能梯度材料板壳多场耦合主动控制仿真

利用力-电-热多场耦合的弱变分方程和加强假定应变法，建立了一用于温度梯度作用下功能梯度材料板壳力学性能分析的固体壳单元，该单元既可用作实体单元，又可模拟薄曲壳结构，在厚跨比非常小的情况下也能获得令人满意的精度。结合常位移-速度反馈控制算法，对基于压电传感器、驱动器的功能梯度材料板壳的热变形及振动的主动控制进行了数值仿真，探讨了组分材料体积分数幂指数分布、控制增益等对功能梯度材料力学性能和控制效果等的影响。算例表明了常位移-速度反馈控制算法的正确性和单元的高效性。

Simulation of Active Control of FGM Shells with Piezothermoelastic Couplings

By using the weak forms of piezothermoelastic equations and enhanced assumed strain method,a solid shell element formulation was developed for analysis of Functionally Graded Material(FGM) plates and shells subjected to temperature gradient.This element can be used as solid element and can also be used to model thin curved shell structures.Even for a thin plate/shell with very small ratio of thickness to length,the predictions of this element were satisfactory.A constant displacement-velocity feedback control algorithm coupling the direct and inverse piezoelectric effects was applied to provide active feedback shape/ vibration control of the integrated plates and shells.The effects of the constituent volume fractions and the influence of feedback control gain on the static and dynamic responses of FGM structures were examined.The numerical examples demonstrate that the approach proposed herein is correct and the newly derived element is robust.