弹性曲杆的稳定性问题

本文给出空间任一曲杆在弯扭联合作用下的稳定性问题的一般讨论,并且给出了曲杆某一平衡状态的扰动量所满足的方程组(28)—(36),在适当的边界条件下,这些扰动量的非零解对应于临界状态。文末用这组方程具体讨论了五个实际例子,这些例子有些结果是新的,有些是用新的方法去处理老问题。

THE STABILITY OF ELASTIC CURVED BARS

In this paper the general discussion is given on the stability of arbitrary curved bar in the space under the combined action of bending and torsion. The equations (28) -(36) for the perturbation at the equilibrium state of the curved bar are obtained. With appropriate boundary conditions the nontrivial solution for the perturbation corresponds to the critical state of the curved bar. Five practical examples are worked out by use of these equations. Some of the results are new and others are obtained more easily using this method.