Dynamic response of orthotropic and cross-ply cylindrical shells under local patch load using elasticity approach are studied. The shells are of finite lengths and simply supported at both ends. The highly coupled partial differential equations are reduced to ordinary differential equations with variable coefficients by choosing the solution composed of trigonometric series along the axial and circumferential directions.The resulting ordinary differential equations are solved, using Galerkin method to obtain the finite element model of shell. Finally results are compared with the results obtained from the classical theory.
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