Active Vibration Control of Composite Pyramidal Lattice Truss Core Sandwich Plates

Abstract

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.