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Buckling of thin annular plates due to radial compressive loading


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.


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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.

Item Type:Thesis (Engineer's thesis)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Sechler, Ernest Edwin (advisor)
  • Babcock, Charles D. (advisor)
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1968
Record Number:CaltechETD:etd-11112005-152910
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4510
Deposited By: Imported from ETD-db
Deposited On:11 Nov 2005
Last Modified:21 Dec 2019 01:59

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PDF (Majumdar_s_1968.pdf) - Final Version
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