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On some properties and calculation of the exact solution to von Kármán's equations of circular plates under a concentrated load

Authors
Journal
International Journal of Non-Linear Mechanics
0020-7462
Publisher
Elsevier
Publication Date
Volume
25
Issue
1
Identifiers
DOI: 10.1016/0020-7462(90)90035-8

Abstract

Abstract In this paper, we prove some properties of the exact solution obtained in our earlier paper for large deflection of a circular plate under a concentrated load. Using Newton's method, we also solve for the unknown constants A ij and B ij in the formula of an exact solution. Finally, we use the exact solution to check the accuracy of Chien's perturbation solution.

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