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.
出处
《应用数学和力学》
EI
CSCD
北大核心
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()
关键词
弹性梁
横向变温
热过屈曲
打靶法
数值解
elastic beam
transverse temperature change
thermal post-buckling
shooting method
numerical solution
