The vibration characteristics of composite pyramidal truss core sandwich plates with piezoelectric actuator/sensor pairs were investigated, and the active vibration control methods of the structural system were also developed. The face sheets and truss core were all made of carbon fiber–reinforced composites. In order to construct an effective control system, the piezoelectric materials were symmetrically bonded on the top and bottom surfaces of the sandwich plate to act as the actuators and sensors. Hamilton’s principle with the assumed mode method was used to establish the equation of motion of the composite pyramidal lattice sandwich plate bonded with piezoelectric materials. The natural frequencies of the composite sandwich panel were calculated and validated by the finite-element method. A negative velocity feedback control method and a linear quadratic regulator (LQR) were employed in the controller design. The controlled vibration responses of the composite sandwich panel with the two different controllers under transverse impulse excitation were calculated. Numerical results show that the proposed active control methods can effectively suppress the vibration of the composite pyramidal truss core sandwich panel, and that LQR control requires less energy than velocity feedback control.

All available theoretical researches on the bistable composite laminated shell–MFC assembly have been fundamentally concerned with the static snap-through, while dynamic researches on the assembly have been more pronounced based on experiments for the dynamic snap-through. However, theoretical researches on both the static and dynamic snap-through for the assembly have hardly been carried out. In this article, the theoretical model for the bistable composite laminated shell–MFC assembly is elaborated, elucidating the static and dynamic snap-through by deploying the static and dynamic voltages. To initiate the static snap-through, the voltage–curvature and voltage–displacement curves are graphically presented, delivering the whole path of the process of the static actuation. To initiate the dynamic snap-through, the assembly is activated dynamically while the MFC actuator is expanded by the dynamic voltage. The dynamic responses for the assembly are characterized by the limit-cycle oscillation, the periodic, and chaotic snap-through and the secondary Hopf bifurcation. The theoretical model proofs the bistable composite laminated shell–MFC assembly to be developed and promising, which provides a validation source for the actuation strategy of the desirable snap-through and the suppression strategy of the undesirable snap-through.