A Method for Analyzing Axisymmetric Plates With Complicating Conditions

[+] Author and Article Information
J. E. Brock

U. S. Naval Postgraduate School, Monterey, Calif.

J. Appl. Mech 29(3), 509-514 (Sep 01, 1962) (6 pages) doi:10.1115/1.3640598 History: Received May 18, 1961; Online September 16, 2011


A method is described for the analysis of circular flat plates in which properties may be variable, the elasticity may be orthotopic, membrane forces may be significant, and variable temperatures may be involved. It is required, however, that axial symmetry be maintained. Essentially the method consists in making an assumption (normalized in a certain way) for the principal moment difference, integrating (by analytical or numerical procedures), to find slopes, and then determining the principal moments. From these an improved assumption can be made for the differences, and the process iterated until convergence is satisfactory. Two examples are included.

Copyright © 1962 by ASME
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