GEOMETRICALLY NONLINEAR PROBLEM OF A TWO-LAYER BEAM SUBJECTED TO UNIFORM TEMPERATURE RISE

Based on an accurate geometrically nonlinear theory, governing equations for nonlinear thermal bending and buckling of axially extensible two-layer beam subjected to a temperature rise are derived, in which the stretching-bending coupling terms produced by the non-homogenous distribution of the material properties are included. By using the shooting method to solve the corresponding nonlinear boundary value problem, numerical solutions for thermal bending of a tow-layer beam with its both ends immovably simply supported under uniform temperature rise are obtained. As an example, equilibrium paths and configurations for a beam laminated by brass and steel are presented. The effects of the geometric and physical parameters on the deformation of the beam are also examined.