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

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-&symmetric 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. R6sum6: Dans cet article on discute, A I'aide de la propagation et de la reflexion des ondes, le flambage symktrique axial et non-symkbique d'une coque cylindrique tlastique et de dimensions finies, impactke il une extrkmitk par un echelon de force axiale. En resolvant les kquations de perturbations, on obtient la condition de bifurcation du flambage dynamique, la charge critique de flambage et le mode de flambage. Les rksultats montrent que dans le cas oh I'kpaisseur de la coque n'est pas tr&s mince, un flambage non symktrique peut d'abord appmAtre et lorsque l'onde est rkflkchie A l'aube exbkmitt de la coque, la charge critique de flambage continue de d6croitre. Les r6sultat.s th6oriques sont en bon accord avec le phknomene physique dans les expkriences.