The Lateral Deflection of a Circular Ring Plate Buckled by a Closing Moment

摘要

This paper presents a numerical solution to the nonlinear von Karman plate equations. The particular problem considered is the axisymmetric lateral buckling of a circular ring plate having a ratio of the radii of 2 and a Poisson's ratio of 0.3. This problem corresponds to the lateral buckling of a complete ring under a closing moment, i.e., a moment tending to deform the plate into a ring of smaller radius. The equations are written in finite difference form, and an iterative technique is used to obtain the nonlinear solution. The results show that, for this particular case, the initial stage of post-buckling deformation is stable and does not exhibit any snap-through type of instability. This result is in agreement with experimental observations previously reported. (Author)