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.
A Method for Analyzing Axisymmetric Plates With Complicating Conditions
J. E. Brock
U. S. Naval Postgraduate School, Monterey, Calif.
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Brock, J. E. (September 1, 1962). "A Method for Analyzing Axisymmetric Plates With Complicating Conditions." ASME. J. Appl. Mech. September 1962; 29(3): 509–514. https://doi.org/10.1115/1.3640598
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