Dynamic analysis of rectangular elastoplastic composite plates

Equation of motion of composite plates was derived making use of the Kirchhoff Plate Theory, and the solutions were obtained using the finite difference method by the cosideration of various boundary conditions. Certain factors that affect the natural frequency parameters of rectangular laminated composite plates, which are the aspect ratio (a/b), the span-to-depth ratio (a/h), the angle-ply and the lamination sequence were investigated.By making use of the direct stiffness method in the context of the equivalent gridwork model of plates, the stiffness and mass matrices were constructed. Various dynamic loading conditions on composite plates were investigated. After the determination of modes and frequencies of plates the uncoupled system was solved using the Newmark Linear Acceleration Method, hence, the dynamic displacements in each degree of freedom were computed at each time increment. Finally, the dynamic stresses were computed as a function of time.