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.