The Nonlinear Properties of a Piezoelectric Cantilevered Plate under Parametric Excitation

In this paper, we investigate the nonlinear dynamics characteristics of the composite piezoelectric cantilevered plate forced under parametric excitation. Based on the Reddy's classic deformation plate theory and the von Karman nonlinear strain–displacement equations, we deduce the nonlinear partial differential equations by applying the Hamilton's principle. Then the dimensionless ordinary differential equations of the system with three-degree-of-freedom are derived. We choose a set of parameters of governing equation and employ numerical simulations to investigate the effects of parametric excitation on the nonlinear responses of the system. The results indicate that there exist the periodic and chaotic motions. (paper)