In this paper, static and free vibrations behaviors of the orthotropic functionally graded material (FGM) plates resting on the two-parameter elastic foundation are analyzed by the a mesh-free method based on the first order shear deformation plate theory (FSDT). The mesh-free method is based on moving least squares (MLS) shape functions and essential boundary conditions are imposed by transfer...

This work presents a novel computational approach, the DSC regularized Dirac-delta method, for vibration analysis of functionally graded graphene-platelet reinforced (FG-GPLR) porous beams resting on Winkler–Pasternak elastic foundation under moving load. Based Timoshenko beam theory, energy functional model is represented by newly constructed basis function and minimized variational principle....

This manuscript develops for the first time a mathematical formulation of dynamical behavior bi-directional functionally graded porous plates (BDFGPP) resting on Winkler–Pasternak foundation using unified higher-order plate theories (UHOPT). The kinematic displacement fields are exploited to fulfill null shear strain/stress at bottom and top surfaces without needing factor correction. gradation...

In this study a vibration analysis was performed of an isotropic cylindrical shell submerged in fluid, resting on Winkler and Pasternak elastic foundations for simply supported boundary condition. Love’s thin theory exploited strain- curvature- displacement relationship. Shell problem solved by using wave propagation approach. Influence fluid as well were studied the natural frequencies shells....

In this paper, buckling behavior of moderately thick functionally graded rectangular plates resting on elastic foundation subjected to linearly varying in-plane loading is investigated. The neutral surface position for a functionally graded plate which its material properties vary in the thickness direction is determined. Based on the first-order shear deformation plate theory and the neutral s...

Static analysis of shear deformable plates resting on two-parameter foundations is presented by the method of discrete singular convolution (DSC). The influence of foundation parameters on the deflections of the plate has been investigated. Numerical studies are performed and the DSC results are compared well with other analytical solutions and some numerical results.

Cross walls have been used as alternative auxiliary measures to protect buildings in some areas of Asia. Realizing the inadequacy classical Winkler foundation predict deflection diaphragm wall with cross wall, a modified finite element method (MEFB) was formulated this paper. Then, MEFB verified through two excavation cases and applied new well-documented history. Results showed that by propose...