Studies on the Instability of Circular Rings

摘要

The critical loads associated with the instability phenomenon of elastic-perfectly plastic circular rings, which are confined to a rigid boundary and are subjected to end circumferential compressive loads, are determined. Finite-deflection nonlinear theory is employed and two types of imperfections are included in the model; (a) boundary imperfection, (b) an imperfection in the shape of the ring in its initially stress-free state. Comparison with energy methods for the instability analysis is presented and discussed. It is shown that the critical loads are independent of energy considerations and are only related to the magnitude of the imperfection and radius-to-thickness ratio. (Author)