弹性地基上复合材料夹层梁的热过屈曲  

THE THERMAL BUCKLING OF COMPOSITE SANDWICH BEAMS ON ELASTIC FOUNATIONS

作　　者：钮鹏[1,2,3] 李旭[1] 李世荣[3] 金春福[4] 徐清风[1] 

机构地区：[1]沈阳大学建筑工程学院,辽宁沈阳110044 [2]沈阳大学辽宁省环境岩土工程重点实验室,辽宁沈阳110044 [3]扬州大学建筑科学与工程学院,江苏扬州225127 [4]辽宁省交通高等专科学校公路工程质量检测中心,辽宁沈阳110122

出　　处：《工程力学》2017年第B06期26-30,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(11272278);辽宁省博士启动基金项目(20141092);辽宁省交通高等专科学校优秀人才成长计划项目(2015lnccrchy02);辽宁省高等学校优秀人才支持计划项目(LJQ2015076)

摘　　要：通过考虑轴线可伸长变化及剪切变形等因素影响,建立了热载荷作用下复合材料夹层梁受弹性地基约束时的几何非线性控制方程。利用打靶法数值求解所得强非线性边值问题,并获得了一边不可移铰支一边固定的夹层梁在横向均匀升温作用下的静态热过屈曲和热弯曲变形数值解。给出了临界升温与地基弹性参数之间的关系曲线,得到了模态跃迁性质,分析了载荷热与地基刚度参数对一阶模态的过屈曲平衡构形的影响。On the basis of accurately considering axial extension and transverse shearing, geometrically nonlinear governing equations for composite sandwich beams with elastic supports subjected to thermal loads are formulated. By using a shooting method, the two-point boundary value problem for nonlinear ordinary differential equations is solved numerically and the numerical solutions to static thermal post-buckling and thermal bending deformation of the sandwich beams with pinned-fixed ends under transverse uniform thermal loads are obtained. Curves of critical buckling temperature versus foundation stiffness parameters are plotted and mode transition feature is given. Thermal post-buckling equilibrium configurations of the beam in the first mode for different values of foundation stiffness and thermal load are analyzed.

关 键 词：夹层梁 热屈曲 弹性地基 打靶法 模态跃迁 

分 类 号：O344.7[理学—固体力学] TU348[理学—力学]