钮鹏, 李旭, 李世荣, 金春福, 柳杨. 弹性约束下Timoshenko夹层梁的热屈曲行为研究[J]. 工程力学, 2018, 35(S1): 13-16,39. DOI: 10.6052/j.issn.1000-4750.2018.01.S028
引用本文: 钮鹏, 李旭, 李世荣, 金春福, 柳杨. 弹性约束下Timoshenko夹层梁的热屈曲行为研究[J]. 工程力学, 2018, 35(S1): 13-16,39. DOI: 10.6052/j.issn.1000-4750.2018.01.S028
NIU Peng, LI Xu, LI Shi-rong, JIN Chun-fu, LIU Yang. The thermal buckling behavior of Timoshenko sandwich beam under elastic constraint[J]. Engineering Mechanics, 2018, 35(S1): 13-16,39. DOI: 10.6052/j.issn.1000-4750.2018.01.S028
Citation: NIU Peng, LI Xu, LI Shi-rong, JIN Chun-fu, LIU Yang. The thermal buckling behavior of Timoshenko sandwich beam under elastic constraint[J]. Engineering Mechanics, 2018, 35(S1): 13-16,39. DOI: 10.6052/j.issn.1000-4750.2018.01.S028

弹性约束下Timoshenko夹层梁的热屈曲行为研究

The thermal buckling behavior of Timoshenko sandwich beam under elastic constraint

  • 摘要: 综合考虑构件轴线伸长和1阶横向剪切变形等条件下,建立横向受热作用且周围有弹性支承约束的夹层梁几何非线性精确数学模型。利用打靶法数值方法获得了两端转角弹簧与横向弹性地基共同约束时夹层梁的静态热过屈曲数值解。改变梁端转角弹簧刚度,获得不同的临界屈曲温度;当改变夹层梁物性参数时,给出平均升温参数与水平轴向压力之间的关系曲线;当两端转角弹簧刚度和弹性地基刚度同时给定时,分析非均匀升温参数与夹层梁热过屈曲和热弯曲组合变形之间的关系。

     

    Abstract: On the basis of considering axial extension and the first-order transverse shearing deformation, the geometric mathematical model of a Timoshenko sandwich beam with elastic supports, subjected to thermal loads, are formulated. By means of shooting method, the static thermal post-buckling numerical solution of the sandwich beam under angle springs and a lateral elastic foundation is obtained. The spring stiffness at the ends of the beam is changed and different critical buckling temperatures are obtained. When the physical parameters of the sandwich beam are changed, the relationship between the mean temperature parameter and the horizontal axial pressure is plotted. When the stiffness of the springs at both ends and the stiffness of the elastic foundation are given at the same time, the non-dimensional temperature produces the combined deformation of the thermal post-buckling and thermal bending of the sandwich beam.

     

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