具有转动弹性支承杆的热弹性过屈曲分析

Analysis of thermoelastic post-buckling of rod with elastically rotatable supports

基于轴线可伸长杆的几何非线性理论,建立了两端为转动方向弹性约束杆的热屈曲控制方程.该问题是包含杆轴线弧长在内的多未知函数的强非线性两点边值问题,无法求其解析解.本文采用打靶法得到了该问题的数值解,给出了具有不同长细比?不同弹性支承系数杆的热过屈曲平衡路径和平衡构形.

In this paper, based on geometrically non-linear theory for axially extensible elastic rods, the governing equations of thermoelastic post-buckling of rods with clamped-elastically supported ends are established. This is a two-end point boundary value problem with strong non-linearity and multiple unknown functions, in which the arc length s(x) as one of the unknown functions is involved. By using shooting method, the non-linear boundary value problem is numerically solved and the thermal post-buckled states of the rods are obtained. The equilibrium paths as well as equilibrium patterns of the post-buckled rods for a variety of rod slenderness and elastic supports are given.