in the present study, a spectral finite element method is developed for free and forced transverse vibration of levy-type moderately thick rectangular orthotropic plates based on first-order shear deformation theory. levy solution assumption was used to convert the two-dimensional problem into a one-dimensional problem. in the first step, the governing out-of-plane differential equations are tr...

The dynamic performance of structures under traveling loads should be exactly analyzed to have a safe and reasonable structural design. Different higher-order shear deformation theories are proposed in this paper to analyze the dynamic stability of thick elastic plates carrying a moving mass. The displacement fields of different theories are chosen based upon variations along the thickness as c...

Abstract   In this paper elastoplastic buckling of rectangular plates with different boundary conditions are investigated. Differential governing equations of plate are obtained on the basis of general loading and according to deformation theory (DT) of plasticity. Various loading conditions contain uniaxial, biaxial and shear are studied. The employed material is AL7075T6 which is usually used...

Based on fundamental equations of the elasticity theory, a unified higher-order shear deformation theory is developed for bending and free vibration analysis functionally graded (FG) microplates with porosities. The modified strain gradient employed to capture size effects. Bi-directional series hybrid shape functions are used solve problems. Several important effects including thickness-to-mat...

In this study, nonlinear bending of solid and annular functionally graded (FG) sector plates subjected to transverse mechanical loading and thermal gradient along the thickness direction is investigated. Material properties are varied continuously along the plate thickness according to power-law distribution of the volume fraction of the constituents. According to von-Karman relation for large ...