Finite Deflections of an Elastic Circular Plate With a Central Hole

[+] Author and Article Information
H. A. Koenig

The University of Connecticut, Storrs, Conn.

R. E. Llorens

The Pennsylvania State University, King of Prussia, Pa.

P. C. Chou

Drexel Institute of Technology, Philadelphia, Pa.

J. Appl. Mech 36(2), 285-291 (Jun 01, 1969) (7 pages) doi:10.1115/1.3564622 History: Received June 10, 1968; Revised December 03, 1968; Online September 14, 2011


The von Karman equations for large deflections of an elastic circular plate containing a central hole and subjected to a concentrated ring load are presented in dimensionless and finite-difference form. Because of the nonlinear character of these equations an iterative technique must be employed to obtain a solution of the system of finite-difference equations and their corresponding boundary conditions. An analytical representation of the bounds within which the solution must lie is derived using a Green’s function approach. Finally, an example is solved numerically and the results discussed.

Copyright © 1969 by ASME
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