Static and vibration analysis of axi-symmetric angle-ply laminated cylindrical shell using state space differential quadrature method

In this study, static and free vibration characteristics of anisotropic laminated cylindrical shell with various end conditions are considered by making the use of differential quadrature method (DQM). Equations of motion are derived based on three-dimensional theory of elasticity. Applying the state space in conjunction with DQM to the governing differential equations and to the edges boundary conditions in term of displacements, new state equations at discrete points are derived. By solving the obtained state equations, static and frequency behavior of laminated shell are evaluated. To ensure the accuracy of the present approach, comparisons are made with those for the shell with simply supported edges which can be solved analytically. Finally, the effect of edges condition on the static and vibration behaviour of shell is investigated.