Exact mathematical model and its numerical solution of a two-layer beam subjected to non-uniform temperature rise
Based on accurately considering the axial extension, geometrically nonlinear governing equations for a two-layer beam subjected to thermal load were formulated. By using a shooting method, the strongly nonlinear ordinary differential equations with twopoint boundary conditions were solved and numerical solution for thermal post-buckling and bending deformation of a two-layer beam with pinned-pinned ends and subjected to transversely non-uniform temperature rising were obtained. As an example, equilibrium paths and configuration for a beam laminated by brass and steel are presented and characteristic curves of the nonlinear deformation changing with the thermal load were plotted. Effects of the geometric and material parameters on the deformation of the beam were discussed and analyzed in detail. The theoretical analysis and numerical results show that the bending deformation and the stretching-bending coupling terms of beam subjected to uniform or non-uniform temperature rising can be produced because of the non-homogenous distribution of the material properties. The bending deformation resulted from transversely temperature rise is pr ory deformation when values of average temperature rise parameter is under critical temperature, nowever, the curves become the thermal post-buckling equilibrium paths with the increment of average temperature rise when values of average temperature rise parameter exceed critical temperature.
Two-layer beam Axial extension Thermal buckling Shooting method Numerical solution transversely non-uniform temperature rise
Chang Xueping Liu Jun Ren Jihong
School of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, China School of Civil Engineering, Southwest Petroleum University, Chengdu 610500, China Sichuan petrochemical Nan Chong corporation, China Petroleum, Nan Chong 637001, China
国际会议
合肥
英文
3163-3168
2011-09-23（万方平台首次上网日期，不代表论文的发表时间）