Circular Plate Analysis by Finite Differences: Energy Approach
Publication: Journal of Engineering Mechanics
Volume 115, Issue 6
Abstract
A numerical method of elastic analysis of thin circular plates under various axisymmetric loading and support conditions is presented. The method of analysis is based on the finite‐difference procedure in the variational formulation (energy approach) and can be regarded as being equivalent to the finite‐element method. A simple computer program was developed and tested on a number of illustrative examples. In most cases the obtained results exhibited a much higher level of accuracy as compared to those obtained from the finite‐element analysis. And, most importantly, in each of the cases considered the number of unknowns involved is only half of that employed in the particular finite‐element procedure (using the simplest finite element).
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Atkatsh, R. S., Baron, M. L., and Bieniek, M. P. (1980). “A finite difference variational method for bending of plates.” Computers and Struct. 11, 573–577.
2.
Bielewicz, E., Wachowiak, J., and Wilde, P. (1967). “Statics of an umbrella roof.” Archiwum Inz. Lad.‐T. XIII‐Z, (in Polish), 167–180.
3.
Crandall, S. H. (1956). Engineering analysis—A survey of numerical procedures. McGraw‐Hill Book Co., Inc., New York, N.Y.
4.
Fung, Y. C. (1965). Foundations of solid mechanics. Prentice‐Hall, Inc., New York, N.Y.
5.
Melerski, E. (1986). “Numerical analysis of a hyperbolic‐paraboloid shell foundation.” Proc. 10th Australasian Confl on the Mechanics of Structures and Materials. Adelaide (Australia), 107–112.
6.
Rockey, K. C., Vans, H. R., Griffiths, D. W., and Nethercot, D. A. (1975). The flnite element method. Granada.
7.
Roy, J. R. (1971). “Numerical error in structural solutions.” J. Struct. Engrg., ASCE, 97(ST4), 1039–1054.
8.
Stiefel, E. L. (1963). Numerical mathematics. Academic Press, New York, N.Y.
9.
Timoshenko, S. P., and Wojnowsky‐Krieger, S. (1959). Theory of plates and shells. McGraw‐Hill Book Co., Inc., New York, N.Y.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 115 • Issue 6 • June 1989
Pages: 1205 - 1224
Copyright
Copyright © 1989 ASCE.
History
Published online: Jun 1, 1989
Published in print: Jun 1989
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.