热荷载作用下Timoshenko功能梯度夹层梁的静态响应  

STATIC RESPONSE OF FUNCTIONALLY GRADED SANDWICH TIMOSHENKO BEAM UNDER THERMAL LOADS

作　　者：钮鹏[1,2] 李世荣[2] 金春福[3] 杨刚[1] 

机构地区：[1]大连海事大学道路与桥梁工程研究所,大连116026 [2]扬州大学建筑科学与工程学院,扬州225009 [3]大连理工大学土木水利学院,大连116024

出　　处：《固体力学学报》2011年第5期483-492,共10页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(10872083);教育部博士点基金项目(200807310002)资助

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-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.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.

关 键 词：功能梯度材料 夹层结构 TIMOSHENKO梁 热屈曲 打靶法 

分 类 号：O343.6[理学—固体力学]