Parametric Analysis of Non-Uniform Shear Load on the Displacement and Stress Components of for FG Rectangular Plates Resting on Two-Parameter Elastic Foundation

An analytical solution procedure based on the power series method is developed for analysis of FG rectangular plates. For the first time, a system of five second order coupled partial differential equations is solved as general form by using power-series solution. Most of presented analytical solutions for analysis of the rectangular plates can be applied for plates with specific load and edge conditions. Based on the developed analytical method in the present paper, plates under various boundary conditions, various transverse and shear loads and plates rested on non-uniform two-parameter elastic foundation can be analyzed. Firstly, a sensitivity analysis regarding the number of terms of the series solution is performed as convergence criterion. Then, the obtained results are compared with the presented results by other researchers. Finally, effects of various parameters are examined as 3D figures. This study shows that the developed method has very good accuracy and can be applied for analysis of various plates. Also, it can be seen that results can be obtained as a function of various parameters, so the presented analytical solution can be easilyapplied for analysis of the various parameters