Large deformation and stress analysis of isotropic annular membranes by differential quadrature method

In this paper, the differential quadrature method (DQM) was employed to study nonlinear analysis of annular isotropic membrane in which an attempt was made to explore the applicability and accuracy of DQM for nonlinear analysis of a structural membrane. For this purpose, the large deformation analyses of symmetric circular membranes were investigated. Relaxed strain energy function in conjunction with Green’s strain and perfectly flexible assumptions was utilized for modeling the nonlinear behavior of the membranes. The nonlinear governing equations were discretized at whole domain grid points, and boundary conditions were implemented exactly at boundary grid points. Comparative studies were made between approaches for different boundaries. Convergence of the methodology was demonstrated, and the results were compared with existing solutions of other methods, such as dynamic relaxation. It was shown that accurate results were obtained even when utilizing only a small number of grid points.