Abstract
AbstractA semianalytical method for the transient response of functionally graded material (FGM) rectangular plates under various boundary conditions, by the use of state space method, differential quadrature method, and numerical inversion method of Laplace transform, is proposed in this study. The FGM rectangular plate is simply supported at two opposite edges with any classical boundary conditions on the other two opposite edges, such as simply supported, clamped, and free conditions. Comparisons show the results generated by the present method agree well with those predicted by the finite element method (FEM), no matter which variation law of material properties, functionally graded (FG) index, geometry, load, and boundary conditions are employed. Convergence studies for different numbers of sampling points along the length direction and different layer numbers along the thickness direction show that the present method has a fast convergence rate. In addition, the effects of FG index, FG direction, an...
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