基于突变理论的弹性圆柱壳冲击扭转屈曲

DYNAMIC ELASTIC BUCKLING OF CYLINDRICAL SHELLS UNDER TORSIONAL IMPACT BASED ON THE CATASTROPHE THEORY

本文将突变理论用于处理冲击载荷下弹性结构的屈曲问题,文中对无初缺陷的弹性圆柱壳给出了临界阶跃冲击扭矩.另外,本文还用数值方法求解了柱壳扭转时的非线性动力方程,并由B-R运动准则求得临界冲击扭矩。计算表明,这两个方法给出的结果是一致的。

In this paper, the dynamic buckling of elastic cylindrical shells under torsional impact was discussed using the catastrophe theory. The critical step impact torque was given for the perfect shells, and at same time the non-linear dynamic equations for torsional cylindrical shells was solved by a numerical method and the critical impact torque was given by using the B-R criterion. The two results are in good agreement.