Fundamental Buckling of Annular Plates with Elastically Restrained Guided Edges Against Translation

Abstract

This study deals with the exact buckling solutions of annular plates with an elastically restrained guided edge against translation. The classical plate theory is used to derive the governing differential equation for annular plate with elastically restrained guided edge against translation. The buckling mode may not be axisymmetric as previously assumed. In certain cases, an asymmetric mode would yield a lower buckling load. This is due to switching of mode. This work presents the critical buckling load parameters for axisymmetric and asymmetric buckling modes. Extensive data is tabulated so that pertinent conclusions can be arrived at on the influence of translational restraints, Poisson's ratio and other boundary conditions on the buckling of uniform isotropic annular plates. The numerical results obtained, are in good agreement with the previously published data. In this paper the characteristic equations are exact, therefore the results can be calculated to any accuracy. Comparison of studies demonstrates the accuracy and stability of this work.

Keywords:

• Annular plate
• Buckling
• Elastic ring support
• Elastically restrained edges
• Guided edge
• Mode switching

Notes

^#Communicated by I. Elishakoff.