Large deflection of elastoplastic beams with prescribed moving and rotating ends

Abstract

The large de ection of an elastoplastic beam with prescribed moving and rotating end conditions is investigated to simulate its air-bending process. A nite difference model is developed and governing equations in terms of rotations of elements were derived. D ue to both geometrical and material non-linearities, only numerical solutions are obtained by using an iteration procedure. F our typical examples with various moving/rotating boundary conditions are shown by graphs. N umerical analyses also show the evolution of the plastic region and the effects of springback and loading path on the deformed pro les.

Collision between a ring and a beam

“…Very good agreement between the MS-FD result and FE simulation are reported in [7] where only 20 elements were used in the MS-FD simulation of a cantilever beam. Owing to the ease of implementation, this model has also been adopted to study the quasi-static large elastic-plastic deformation of exural beams [8]. In this paper, the MS-FD model will be reformulated to incorporate large deformation and axial force, while local contact spring [2] will be employed to simulate the contact between two structures.…”