Hybrid layerwise-differential quadrature transient dynamic analysis of functionally graded axisymmetric cylindrical shells subjected to dynamic pressure

Abstract

In this paper, two computationally efficient and accurate solution methods for transient dynamic analysis<br><br>of functionally graded (FG) cylindrical shells subjected to internal dynamic pressure are presented. In<br><br>order to accurately account for the thickness effects, the layerwise theory is employed to approximate<br><br>the displacement components in the radial direction. In the first solution method, differential quadrature<br><br>method (DQM) is implemented to discretize the resulting equations in the both spatial and time domains.<br><br>In the second approach, DQM is applied to discretize equations in the axial direction while Newmark’s<br><br>time integration scheme is used to solve the problem in the time domain. The fast convergence rate of<br><br>the methods is demonstrated and their accuracy is verified by comparing the results with those obtained<br><br>using ANSYS and also with available exact solution of a particular problem. Considerable less computational<br><br>efforts of the proposed approaches with respect to the finite element method is observed. Furthermore,<br><br>comparative studies are performed between two approaches in different cases and it is found that<br><br>the two techniques give very close results. The effects of geometrical parameters and boundary conditions on the transient behavior of shells are also investigated.