横向非均升温下弹性梁的热过屈曲  

Thermal Post-Buckling of an Elastic Beams Subjected to a Transversely Non-Uniform Temperature Rising

作　　者：李世荣[1] 程昌钧[2] 周又和[3] 

机构地区：[1]甘肃工业大学理学院,兰州730050 [2]上海大学力学系,上海200072 [3]兰州大学力学系,兰州730000

出　　处：《应用数学和力学》2003年第5期455-460,共6页Applied Mathematics and Mechanics

基　　金：科技部基础研究重大项目前期预研专项基金资助项目()

摘　　要：　基于轴向可伸长梁的几何非线性理论和打靶法,研究了两端不可移简支弹性梁在横向非均匀分布升温场作用下的热弹性屈曲响应·　着重分析了横向升温变化对热过屈曲变形的影响,给出了相应的特性曲线·　数值结果表明,由于横向温度改变会产生热弯曲内力。Based on the nonlinear geometric theory of axially extensible beams and by using the shooting method, the thermal post-buckling responses of an elastic beams,with immovably simply supported ends and subjected to a transversely non-uniformly distributed temperature rising, were investigated. Especially, the influences of the transverse temperature change on the thermal post-buckling deformations were examined and the corresponding characteristic curves were plotted. The numerical results show that the equilibrium paths of the beam are similar to what of an initially deformed beam because of the thermal bending moment produced in the beam by the transverse temperature change.

关 键 词：弹性梁 横向变温 热过屈曲 打靶法 数值解 

分 类 号：O343[理学—固体力学]