Nonlinear dynamics of axially moving piezoelectric composite plates with internal resonance

This paper analyzes the nonlinear vibrations of axially moving piezoelectric composite plates with 1:1 internal resonance. Based on Reddy’s third-order shear deformation theory, von Kármán large deformation theory and Hamilton’s principle, the time-varying dynamic equations of the system are derived. To evaluate the nonlinear dynamic behaviors of the system, the Galerkin method is employed to obtain the ordinary differential equations. The resonant responses of the system are then examined by using the fourth-order Runge-Kutta algorithm and method of multiple scales. The effects of internal resonance, axially velocity, mean voltage, pulsating voltage amplitude, axial tension and excitation amplitude on nonlinear dynamics of the piezoelectric composite plate are systematically studied.