两端不可移简支弹性梁在横向非均匀升温下的热屈曲分析

基于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线性变化非均匀升温下的热弹性过屈曲响应 .重点分析了横向变化的升温对过屈曲平衡路径的影响 ,给出了相应的特性曲线 .结果表明 ,由于横向变化升温会产生热弯曲内力 ,因此平衡路径与有初始缺陷梁的过屈曲平衡路径类似

Thermal post-buckling of an elastic beam with both ends immovably and simply supported and subjected to a transversely non-uniform temperature rising

Based on nonlinear geometric theory of axially extensible beams and by using the shooting method, the thermal post buckling responses of a elastic beams with immovably and simply supported ends to a non uniformly distributed temperature rising in the transverse direction are investigated. The influences of the transverse temperature change on the thermal post buckling deformations are emphatically examined and the corresponding characteristic curves are plotted. The numerical results show that the equilibrium paths of the beam are similar to those of a beam with initial imperfection due to thermal bending moment in the beam caused by the transverse temperature change.