冲击扭矩作用下弹性圆柱壳中应力波导致的动力屈曲问题<sup>*</sup>

冲击扭矩作用下弹性圆柱壳中应力波导致的动力屈曲问题^*

基金项目: * 国家自然科学基金;山西省留学归国人员基金

摘要: 圆柱壳的屈曲问题曾被许多力学工作者从不同的角度进行过研究.本文以半无限长弹性圆柱壳为研究对象,将冲击扭矩作用下圆柱壳的动力屈曲归结为由于扭转应力波的传播导致的分叉问题,最后将此分叉问题化为一个非线性方程组的求解,并对动力屈曲时横向惯性的影响进行了讨论,最后进行了数值分析,得到了一些有益的结论。
- 动力屈曲 /
- 应力波 /
- 分叉
Abstract: The buckling problem of cylindrical shells has been studied by many mechanic researchers from different points of view. In this paper,an elastic cylindrical shell with semi-infinite length is studied Let its dynamic buckling under impact torque be reduced to a bifurcation problem caused by propagation of foe torsional stress wave. The bifurcation problem is converted to a solution of nonlinear equations,the lateral inertia effect on the dynamic buckling is also discussed.Finally, numerical computation is carried out,from this,some beneficial conclusions are obtained.
- dynamic buckling /
- stress wave /
- bifuraction

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