DYNAMIC BUCKLING OF A CIRCULAR RING CONSTRAINED IN A RIGID CIRCULAR SURFACE

Publisher Summary This chapter discusses a general finite-difference method that has been developed for predicting large elastic-plastic dynamic response of single-layer two-dimensional structures such as beams and rings and circular-plates and shells of revolution in axisymmetric deformations. The method was applied to the study of dynamic buckling of spherical shells under impact loading and it was discovered that the resulting solution was very sensitive to the space-mesh size that was chosen for the analysis. The general numerical method has also been extended to the analysis of the dynamic response of unbounded concentric rings where a simple relation is assumed for the collision between the rings. The chapter presents an extension of the general method to the study of dynamic buckling of a ring that is constrained in a rigid circular surface and is subjected to a transiently applied inertial loading. In this case, a relationship accounting for the collision between the ring and the rigid boundary is required. The chapter also describes a method that has been developed to calculate the deformation and the snap-buckling behavior of such a ring under statically applied inertial loading.