基于固体壳单元的功能梯度材料板壳主动控制模拟仿真

基于假定自然应变法和加强假定应变法,推导了一用于压电层合FGM壳静、动态主动控制模拟的固体壳单元,该单元既可用做实体单元,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.FGM壳的性能沿厚度方向按一定体积分数幂指数分布,并具有温度相关性,通过改变幂指数n,研究了组分材料体积分数对FGM壳力学性能的影响.采用闭环速度反馈控制算法来模拟压电层合FGM壳的静、动态响应的主动控制,算例表明了算法的有效性.

The Simulation of active control of FGM plates/shells via a solid shell element

By using assumed natural strain and enhanced assumed strain method,a solid shell element formulation was developed for the static and dynamic control of FGM(functionally graded material) shells with piezoelectric sensor and actuator layers.This element could be used as solid element and could also be used to model thin curved shell structures.Even for a thin plate/shell with very small thickness to length ratio,the predictions of this element were satisfactory.The properties of the FGM shell were graded in the thickness direction according to a volume fraction power-law distribution and possessed temperature-dependent properties.The effects of the constituent volume fractions on the static and dynamic responses of FGM structures were examined.A velocity feedback control algorithm coupling the direct and inverse piezoelectric effects was applied in a closedloop system to provide feedback control of the integrated FGM plate/shell structures.Both static and dynamic controls of FGM shells were simulated.Computing examples show that the proposed active control scheme is effective.