This paper presents a generalized numerical method to evaluate element stiffness matrices needed for the free vibration and stability analyses of non-prismatic columns resting on one- or two-parameter elastic foundations and subjected to variable axial load. For this purpose, power series approximation is used to solve the fourth–order differential equation of non-prismatic columns with v...

• Beam on elastic foundation theory is reviewed for railway engineering applications. Limitations of continuously supported models are explored. Multi-layer and discretely improve track dynamic response. Computationally efficient periodic semi-periodic solutions reviewed. Considerations given coupling tracks with vehicle subgrade models. widely employed when studying behaviour, applications suc...

This research deals with the nonlinear material and geometric behaviors of reinforced concrete deep beams resting on linear or nonlinear Winkler foundation. The finite elements through ANSYS (Release-11, 2007) computer software are used. The reinforced concrete deep beam is modeled using (SOLID 65) 8 node brick element and the soil is modeled using linear spring (COMBIN 14) element or nonlinear...

The buckling behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates resting on Winkler-Pasternak elastic foundations under in-plane loads for various temperatures is investigated using element-free Galerkin (EFG) method based on first-order shear deformation theory (FSDT). The modified shear correction factor is used based on energy equivalence principle. Carbon ...

In the present research, a unified formulation for free vibration analysis of the bidirectional functionally graded conical and cylindrical shells and annular plates on elastic foundations is developed. To cover more individual cases and optimally tailored material properties, the material properties are assumed to vary in both the meridian/radial and transverse directions. The shell/plate is a...

In this paper, static analysis of functionally graded annular plate resting on elastic foundation with various boundary conditions is carried out by using a semi-‍analytical approach‍ (SSM‍-DQM). The differential governing equations are presented based on the three dimensional theory of elasticity. The plate is assumed isotropic at any point, while material properties to vary exponentially thro...