承受弯矩和轴力的薄梁的弹塑性侧屈

The Elastic-Plastic Lateral Buckling of Thin Beams Subjected to Bending Moment and Axial Force

本文讨论在弯矩和轴力联合作用下两端简支的矩形截面薄梁的弹塑性侧向屈曲问题。在屈曲分析中,采用了增量型本构关系和Shanley全面加载理论,最后将侧屈问题化为常微分方程的特征值问题,进而得到薄梁的侧屈临界载荷所满足的方程。给出了算例,并作了讨论。

The elastic-plastic lateral buckling of simple supported thin beams of rectangular cross-section, loaded by axial force and bending moment, is studied. By employing the elastic-perfectly plastic incremental constituitive relations and Shanley's continued loading theory in the analyses of buckling, the lateral buckling of beams is formulated as an eigenvalue problem of an ordinary differential equation, and then the equation satisfied by critical load of lateral buckling of thin beams is obtained. The numerical results and discussions are given.