Deflection and stress analysis of thin FGM skew plates on Winkler foundation with various boundary conditions using extended Kantorovich method

Abstract

Present study aims to analyze thin skew plates made of both isotropic and functionally graded materials based on elasticity and neutral surface theory of FGMs, resting on Winkler foundation, with various combination of clamp, free and simply boundary conditions and uniform loading by using the Extended Kantorovich Method (EKM). Successive application of EKM together with the idea of weighted residual technique converts the governing partial differential equation into two ordinary differential equations. The obtained ODE’s are solved iteratively and the converged deflection function is achieved. Then deflection results and stress components, with some diagrams are presented and compared results of other valid literatures. It is shown that some mechanical properties such as power law index of FGM, angle of the skew plate and stiffness modulus of Winkler foundation have important effects on the obtained results. This study investigates the bending of both isotropic and FGM skew plates on foundation with various boundary conditions comprehensively by showing applicable diagrams and tables more valuable than an article with limited case studies.