The thermal buckling behavior of Timoshenko sandwich beam under elastic constraint

On the basis of considering axial extension and the first-order transverse shearing deformation, the geometric mathematical model of a Timoshenko sandwich beam with elastic supports, subjected to thermal loads, are formulated. By means of shooting method, the static thermal post-buckling numerical solution of the sandwich beam under angle springs and a lateral elastic foundation is obtained. The spring stiffness at the ends of the beam is changed and different critical buckling temperatures are obtained. When the physical parameters of the sandwich beam are changed, the relationship between the mean temperature parameter and the horizontal axial pressure is plotted. When the stiffness of the springs at both ends and the stiffness of the elastic foundation are given at the same time, the non-dimensional temperature produces the combined deformation of the thermal post-buckling and thermal bending of the sandwich beam.