A New Intelligent 3-D Thin Shell Element and the Optimal Dynamic Shape Control of a Paraboloid Antenna

Abstract

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.

Modal optimal control of cabin noise of vehicles

“…In this section, a brief review of finite element formulations for laminate shells is given [6,8,9].…”

“…The linear piezoelectric constitutive equations coupling the elastic and electric field can be respectively expressed as direct and the converse piezoelectric equations [6,8,9]:…”

“…F m , σ s , σ a are the external force and the surface electrical charge densities, respectively. Substituting equations ( 14)-(16) into equation ( 13) and neglecting structural damping, equations of motion for the shell element with distributed piezoelectric sensors and actuators can be derived as follows [6,9]:…”

“…In recent years intelligent control methods have been used in many fields, especially in the space field [6,8,9]. Because of their self-monitoring and self-adaptive capabilities, so-called advanced intelligent structures have attracted considerable research efforts.…”