Elasticity solution for the free vibration analysis of laminated cylindrical panels using the differential quadrature method

Based on the three-dimensional theory of elasticity, a new approach combining the state space method and the differential quadrature method (DQM) is presented in this paper for the free vibration analysis of the cross-ply laminated cylindrical panels. The panel has one pair of opposite edges with simply supported and the other pair of opposite edges arbitrary boundary conditions. Applying the differential quadrature method to the state space formulations along the axial or circumferential directions of panel, new state equations about state variables at discrete points are obtained. Eigenfrequency equation is obtained by using edges boundary condition in this state equation. Natural frequencies of the panel are obtained by solving the frequency equation. Numerical results for laminated cross-ply panel with arbitrary edges condition are performed. Results are verified by comparing for the simply supported edges with the available published results.