点间隙约束下弹性梁的湿热后屈曲问题

研究了具有点间隙约束的两端不可移弹性梁在湿热载荷作用下的后屈曲行为.基于轴向可伸长Euler-Bernouli梁的几何非线性理论和线性湿热膨胀假设,建立了湿热环境中工作的弹性梁在点间隙约束下的后屈曲大变形控制方程.其中包含了变形后的轴线弧长、轴线的位移、横截面转角、等效内力和弯等七个基本未知函数.假设点间隙约束位于梁的...

HYGROTHERMAL POST-BUCKLING OF ELASTIC BEAMS UNDER POINT SPACE-CONSTRAINT

Based on the geometrically nonlinear theory for extensional Euler-Bernoulli beams and by using numerical shooting method, post-buckling behavior of elastic beams with immovable ends and a middle point space-constraint under hygrothrrmal loadings were studied. Especially, changes in the characteristics of the hygrothermal post-buckling deformation and the internal forces of the beam after its middle point deflection reaches the gap value and at the same time the constraint force arises. Curves of equilibrium paths and configurations of the beams depending on the middle point constraint force were presented.