Buckling of Thin Annular Plates Due to Radial Compressive Loading

Citation

Majumdar, Suarindranath (1968) Buckling of Thin Annular Plates Due to Radial Compressive Loading. Engineer's thesis, California Institute of Technology. doi:10.7907/QAE9-G437. https://resolver.caltech.edu/CaltechETD:etd-11112005-152910

Abstract

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. Buckling of circular annular plates with the outer edge clamped and the inner edge free loaded with a uniform radial compressive force applied at the outside edge has been studied both theoretically and experimentally. A differential equation of equilibrium of the buckled plate has been developed for any general deflection pattern and solutions corresponding to the buckled form [...] Cos n 0 have been sought. The differential equation has been solved exactly for n = 0 and n = l and approximately for higher values of n as well as for n = 0 and 1. The solutions indicate that, for small ratios of inner to outer radius, the plates buckle into a radially symmetric buckling mode, but for the ratio of inner to outer radius exceeding a certain minimum value the minimum buckling load corresponds to buckling modes with waves along the circumference, the number of which depends on the particular ratio of the inner and outer radii. Tests were carried out using thin aluminum plates and the results agreed reasonably well with the theoretical predictions.

Thesis Files