摘要

In this paper, a new three-dimensional thin laminated shell element for the structure containing an integrated distributed piezoelectric sensor and actuator is proposed. A finite element formulation is derived for modeling the dynamic as well as static response of laminated shell with piezoelectric sensors/actuators. The performance of the shell elements is improved by reduced integration technique. The optimal shape control of structure is derived. The shell element is verified by calculating piezoelectric polymeric PVDF bimorph beam. The results agreed with those obtained by theoretical analysis fairly well. Finally, the optimal shape control of a paraboloid antenna is studied.