阶跃扭矩作用下弹性圆柱壳冲击屈曲

THE IMPACT BUCKLING OF ELASTIC CYLINDER UNDER STEP TORQUE

本文首先基于Koiter初始后屈曲理论和Thompson离散坐标方法,给出了受扭圆柱壳的缺陷敏感性分析及冲击扭转屈曲渐近分析,并指出它对应于对称失稳的情形。然后通过求解受扭圆柱壳的非线性动力学方程,指出在阶跃扭矩作用下的后屈曲阶段,壳体的振动幅值剧增,周期变大。

Based on the Koiter's initial post-buckling theory and Thompson's discrete coordinate approach, the imperfection sensivity and impact buckling of cylinder under torsion are studied. It is shown that it corresponds to symmetric buckling. By solving the nonlinear dynamic equation numerically, it is found that in the process of post-buckling under step torque, the shell will vibrate with a longer period and its amplitude in increased a bruptly. Also, some experimental results for the impact buckling of cylinders subject to step torque is reported.