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This research deals with the derivation and solution of nonlinear dynamic equations of a damped 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 appropriate approximate solution is assumed for the space domain considering the finite element analysis results for the large deformation static analysis of the laminated plate. 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 the theoretical analysis are compared with the experimental results. Good agreement is found for the peak values and frequencies. Effects of aspect ratio and damping on the dynamic response of the plate are examined. The damping coefficient greatly affects the nonlinear dynamic response.

The authors examine a theoretical analysis of dynamic behavior of laminated composite plates exposed to blast waves. Topics include blast loads, shock waves, and geometrical properties.

The dynamic equations of a stiffened composite laminated conical thin shell being subjected to initial stresses are shown. The equations for a truncated conical shell are based on the Donnell-Mushtari theory of thin shells including the transverse shear deformation and rotary inertia. The equations of the laminated composite conical shell are solved by applying the finite difference method. Results are in good agreement with previous computations.

The free vibration characteristics of unidirectionally and orthogonally stiffened shallow shells parameters were studied with regard to different geometrical and material parameters. The collocation method was employed to solve the governing equations which were obtained by applying numerical calculations to the shell's displacement components, such as the moment of inertia and the torsional rigidity. It was found that the shell's physical dimensions have significant effects on the vibration's frequency level.

In this study, the vibration of ceramic cylindrical panel covered by FGM coatings composed of zirconium oxide (ZrO2) and titanium-aloy (Ti6Al4V) is investigated. First, a sandwich cylindrical panel covered by FGM coatings is designed. After the derivation of basic equations are found expression for the frequency of ceramic cylindrical panels covered by FGM coatings. Discusses the influence of coatings profiles, sandwich shell characteristics, the radius-tothickness ratio and the core-to-coating thickness ratio on the dimensionless frequencies for FG and homogeneous sandwich cylindrical shells. [ABSTRACT FROM AUTHOR]