Nonlinear analysis of shear deformable FGM beams resting on elastic foundations in thermal environments

Post-buckling and nonlinear free vibration analysis of geometrically imperfect functionally graded beams resting on nonlinear elastic foundation

The thermal buckling and postbuckling analysis of laminated composite beams with temperature-dependent material properties is presented. The governing equations are based on the first-order shear deformation beam theory (FSDT) and the geometrical nonlinearity is modeled using Green's strain tensor in conjunction with the von Karman assumptions. The differential quadrature method (DQM) as an accurate, simple and computationally efficient numerical tool is adopted to discretize the governing equations and the related boundary conditions. A direct iterative method is employed to obtain the critical temperature (bifurcation point) as well as the nonlinear equilibrium path (the postbuckling behavior) of symmetrically laminated beams. The applicability, rapid rate of convergence and high accuracy of the method are established via different examples and by comparing the results with those of existing in literature. Then, the effects of temperature dependence of the material properties, boundary conditions, length-to-thickness ratios, number of layers and ply angle on the thermal buckling and postbuckling characteristic of symmetrically laminated beams are investigated.

Thermal buckling and postbuckling of laminated composite beams with temperature-dependent properties

Thermal post-buckling and nonlinear vibration behaviors of FGM beams are analyzed by using concept of physical neutral surface, von Karman strain-displacement relationships and high order shear deformation theory. Material properties are assumed to be temperature dependent and vary along the thickness. The prominent character of physical neutral surface higher-order shear deformation beam theory is that stretching-bending couplings are eliminated in constitutive equations, and governing equations have the similar forms as homogeneous isotropic beams. Approximate solutions are given out by Ritz method, and influences played by different supported boundaries, thermal environmental conditions and volume fraction index are discussed in detail.

Thermal post-buckling and nonlinear vibration analysis of FGM beams based on physical neutral surface and high order shear deformation theory

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Geometrically nonlinear free vibration analysis of axially functionally graded taper beams

Relatively simple finite element formulation for the large amplitude free vibrations of uniform beams

Comparative study of thermal post-buckling analysis of uniform slender & shear flexible columns using rigorous finite element and intuitive formulations

Gunda Jagadish Babu

Papers

Relatively simple finite element formulation for the large amplitude free vibrations of uniform beams

Comparative study of thermal post-buckling analysis of uniform slender & shear flexible columns using rigorous finite element and intuitive formulations