Large deformation analysis of orthotropic skew plates with nonlinear rotationally restrained edges using DQM

Two different differential quadrature (DQ) approaches based on the thin plate theory (TPT-DQ) and the first order shear deformation plate theory (FSDT-DQ) are employed to investigate the large deformation analyses of thin and moderately thick orthotropic skew plates with nonlinear elastic rotationally restrained edges. In both approaches, the geometrical nonlinearity of the plate is modeled by using Green’s strain and von Karman assumption. A recently developed DQ methodology is used to exactly implement the multiple boundary conditions at the edges of thin skew plates, which is a major drawback of conventional DQ method (DQM). The convergence of both approaches is shown and their accuracy is demonstrated by comparing the results with those for limit cases, i.e., skew plates with classical boundary conditions. The effects of coefficients of nonlinear elastic restraint at the edges, skew angle, aspect ratio, thickness-to-length ratio and different types of boundary conditions on the nonlinear behavior of skew orthotropic plates are studied.