Static and vibration control of composite laminates integrated with piezoelectric sensors and actuators using the radial point interpolation method

Abstract

A meshfree model based on the first-order shear deformation theory is presented for the shape and vibration control of laminated composite plates with integrated piezoelectric sensors and actuators. A point interpolation method using radial basis functions (RPIM) is employed to construct shape functions for mechanical and electrical variables, which possess the delta function property and show linear reproduction behavior. The method shows a high convergence rate equivalent to that of the second-order finite elements approach. Comparing, one sees that a very simple nodal topology can be used for the field representation and no element continuity is required. A constant displacement and velocity feedback control algorithm is used for the active control of the static deflection as well as the dynamic response of plates through closed loop control. Numerical results for the static deformation, vibration modes and dynamic responses are in good agreement with those from the finite element method.