Transient Analysis of Laminated composite Plate using New Higher-Order Shear Deformation Theory

Abstract

This work develops transient analysis using a new higher-order displacement function for simply supported cross-ply laminated plates. Muntari’s higher-order shear deformation method for elastic composite plates is used to investigate the composite laminated thick and thin plate’s transient response. The current theory accounts for an approximately parabolic distribution of the transverse shear strains on the plate boundary surface through the thickness and tangential stress-free boundary conditions. The governing equations and boundary conditions are derived by employing the principle of virtual work. These equations are solved using closed-form solutions of a Navier’s type, plates are subjected to a different distribution of transient loadings such as step pulse, triangular pulse, and sinusoidal pulse, and many design parameters are studied, as expected minimum deflection is obtained for thick, antisymmetric, and has high orthotropy ratio laminated plate. The results obtained theoretically are compared with those available in various literature and showed a high agreement.