Nonlinear damped vibrations of a laminated composite plate subject to blast load

This research deals with the derivation and solution of nonlinear dynamic equations of a clamped laminated plate exposed to blast load including structural damping effects. Dynamic equations of the plate are derived by the use of the virtual work principle. The geometric nonlinearity effects are taken into account with the von Karman large deflection theory of thin plates. An approximate solution is assumed for the space domain. The Galerkin Method is used to obtain the nonlinear differential equations in the time domain. These nonlinear differential equations include structural damping effects. The finite difference method is applied to solve the system of coupled nonlinear equations. The results of theoretical analysis are compared with the experimental results. A good agreement is found for the peak values and frequencies.