Bending of Circular Plate on Elastic Foundation
Publication: Journal of Engineering Mechanics
Volume 109, Issue 5
Abstract
The governing differential equation of linear, elastic, thin, circular plate of uniform thickness, subjected to uniformly distributed load and resting on Winkler-Pasternak type foundation is solved using ``Chebyshev Polynomials''. Analysis is carried out using Lenczos' technique, both for simply supported and clamped plates. Numerical results thus obtained by perturbing the differential equation for plates without foundation are compared and are found to be in good agreement with the available results. The effect of foundation on central deflection of the plate is shown in the form of graphs.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Alwar, R. S., and Yogendranath, “Application of Chebyshev Polynomials to the Nonlinear Analysis of Circular Plates,” International Journal of Mechanical Sciences, Vol. 18, 1976, pp. 589–595.
2.
Fox, L., and Parker, I. B., Chebyshev Polynomials in Numerical Analysis, Oxford University Press, London, England, 1968.
3.
Kerr, A. D., “Elastic and Viscoelastic Foundation Models,” Journal of Applied Mechanics, American Society of Mechanical Engineers, Vol. 18, 1964, pp. 491–498.
4.
Lanczos, C., Applied Analysis, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1956.
5.
Snyder, M. A., Chebyshev Methods in Numerical Approximation, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1966.
6.
Timoshenko, S., and Woinowsky, S. K., Theory of Plates and Shells, 2nd ed., McGraw‐Hill Book Company, Inc., New York, N.Y., 1959, pp. 30–78 and 259–269.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 109 • Issue 5 • October 1983
Pages: 1293 - 1298
Copyright
Copyright © 1983 ASCE.
History
Published online: Oct 1, 1983
Published in print: Oct 1983
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.