Time-varying nonlinear dynamics of a deploying piezoelectric laminated composite plate under aerodynamic force

摘要

Using Reddy's high-order shear theory for lam-inated plates and Hamilton's principle, a nonlinear partial differential equation for the dynamics of a deploying can-tilevered piezoelectric laminated composite plate,under the combined action of aerodynamic load and piezoelectric excitation, is introduced. Two-degree of freedom (DOF) nonlinear dynamic models for the time-varying coefficients describing the transverse vibration of the deploying lami-nate under the combined actions of a first-order aerodynamic force and piezoelectric excitation were obtained by selecting a suitable time-dependent modal function satisfying the dis-placement boundary conditions and applying second-order discretization using the Galerkin method.Using a numerical method, the time history curves of the deploying laminate were obtained, and its nonlinear dynamic characteristics, including extension speed and different piezoelectric excita-tions,were studied.The results suggest that the piezoelectric excitation has a clear effect on the change of the nonlin-ear dynamic characteristics of such piezoelectric laminated composite plates.The nonlinear vibration of the deploying cantilevered laminate can be effectively suppressed by choos-ing a suitable voltage and polarity.