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中文摘要：
在精确考虑轴线伸长和一阶横向剪切变形的基础上建立了Timoshenko功能梯度夹层梁在热载荷作用下的几何非线性控制方程．采用打靶法数值求解所得强非线性边值问题，获得了两端固支功能梯度夹层梁在横向非均匀升温作用下的静态热过屈曲和热弯曲变形数值解．分析了功能梯度材料参数变化、不同表层厚度和升温参数对夹层梁弯曲变形、拉一弯耦合变形的影响，并给出温度函数在夹层梁厚度方向的具体分布形式．
英文摘要：
By accurately considering the axial extension and transverse shear deformation in the sense of theory of Timoshenko beam,geometrically nonlinear governing equations for functionally graded sandwich beams subjected to thermal loads were formulated. By using a shooting method, the obtained boundary value problem of nonlinear differential equations was numerically solved; and thermal buckling and postbuckling responses of transversely non-uniformly heated FGM Timoshenko sandwich beams with fixed- fixed ends were obtained. The effects of material gradient property, surface layer thickness and temperature parameter on the buckling deformation and the tension-bending coupling deformation of the beam were discussed in details, and the temperature distribution in the thickness direction of sandwich beam are plotted.
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