Buckling of Circular Plates with an Internal Elastic Ring Support and Elastically Restrained Guided Edge Against Translation^#

^#Communicated by I. Elishakoff.

Abstract

This article is concerned with the elastic buckling of circular plates with a support and elastically restrained guided edge against translation. The classical plate theory is used to derive the governing differential equation for circular plate with internal elastic ring support and elastically restrained guided edge support system. This work presents the existence of buckling mode switching with respect to the radius of internal elastic ring support. The buckling mode may not be axisymmetric as previously assumed. In general, the plate may buckle in an axisymmetric mode, but when the radius of the ring support becomes small, the plate may buckle in an asymmetric mode. The optimum radius of the internal elastic ring support is also determined. Extensive data is tabulated so that pertinent conclusions can be arrived at on the influence of translational restraint, Poisson's ratio and other boundary conditions on the buckling of uniform isotropic circular plates. The numerical results obtained are in good agreement with the previously published data.

Keywords:

• Buckling
• Circular plate
• Elastic edge
• Elastic ring support
• Guided edge
• Mode switching
• Translational spring stiffness

Notes

∗Asymmetric buckling load parameters.

^#Communicated by I. Elishakoff.