Dynamic Axisymmetric and Non-Axisymmetric Buckling of Finite Cylindrical Shells in Propagating and Reflecting of Axial Stress Waves

摘要

In this paper, the axisymmetric and non-axisymmetric buckling of finite elastic cylindrical shell, which is impacted on the end by axial step loads, is discussed with the aid of the stress wave propagating and reflecting. By solving the disturbed equations, the bifurcation condition of the dynamic buckling, critical buckling load and buckling mode are obtained. The results show that when the thickness is not very small, non-axisymmetric critical buckling load is higher than axisymmetric one; that when the thickness is very small, non-axisymmetric buckling can occur first and that since the wave is reflected on the other end of the shell, the critical buckling load decreases further. The results are in agreement with the physical phenomenon in experiments.