Nonlinear Analysis of Clamped Circular Plates
Publication: Journal of Structural Engineering
Volume 111, Issue 11
Abstract
The integral collocation method (ICM) is used to analyze large deflected circular plates with clamped (radially held and not held) outer edge under uniform pressure. The ICM has been completely computerized with automatic precision control and exhibits excellent results for the aforementioned plates. Convenient formulas have been derived using the least squares method, following an evaluation of many solutions of Von Karman's equations. Critical values of fiber stresses and deflections are presented in numerical and graphical form. For confirming the validity and usefulness of the proposed formulation, comparisons are made with existing formulas. The comparative study shows a significant discrepancy in stresses; however, a good agreement is shown in deflections. The proposed computational technique presents lower stresses in the midplate and higher stresses at the edge of the plate than the existing formulas. However, results show that the edge stresses are always higher than the midplate stresses in both methods. Further confirmations are made by comparison with the finite element results. Results of the comparison indicate that the proposed formulas produce more exact results than the existing formulas.
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References
1.
Biezeno, C. B., and Grammel, R., Technishe Dynamik, in German, New York, N.Y., Erster Band Grundlagen und Einzelne Maschineteile, Reprint, Springer‐Verlag, Berlin, Heidelberg, New York, 1971, pp. 150–152.
2.
Broude, B. M., Nonlinear Problems in the Theory of Plates and Their Role in Structural Design, Summer‐Session Study Course on Physical and Geometrical Problems in the Theory of Plates and Shells, in Russian, Izd. Akademy Nauk Estonskoi S.S.R., Tartu, 1966, pp. 42–46.
3.
Krayterman, B. L., and Maksimova, I. I., “Design Formulas for Flexible Plates Not Clamped at the Contour,” in Russian, translated into English from Prikladnaya Mekhanika 12, Kiev, U.S.S.R., July, 1976, pp. 106–109.
4.
Krayterman, B. L., and Maksimova, I. I., “Using the Subregions Method for Calculations of Circular Plates with Large Deflections and Clamped at the Contour,” in Russian, Stroitelnaya Mekhanika i Raschet Sooruzhenii 5, Moscow, U.S.S.R., 1975, pp. 78–79.
5.
Mah, G. B. J., “Axisymmetric Finite Deflection of Circular Plates,” Journal of the Engineering Mechanics Division, ASCE, Vol. 95, No. EM5, Oct., 1969, pp. 1125–1143.
6.
Patodi, S. C., and Bhavsar, M. C., “Discrete Energy Non‐linear Bending of Plates with Circular Geometry,” Civil Engineering Division, Journal of the Institution of Engineers (India), Vol. 64, Nov., 1983, pp. 182–192.
7.
Roark, R. J., and Young, W. C., Formulas for Stress and Strain, 5th ed., McGraw‐Hill Book Company, Inc., New York, N.Y., 1975.
8.
Schmidt, R., “Large Deflections of a Clamped Circular Plate,” Journal of the Engineering Mechanics Division, ASCE, Vol. 94, No. EM6, Dec., 1968, pp. 1603–1606.
9.
Swanson Analysis Systems, Inc., ANSYS, Engineering Analysis System User's Manual, Houston, Pa.
10.
Timoshenko, S. P., and Woinowski‐Krieger, S., Theory of Plates and Shells, 2nd ed., McGraw‐Hill Book Company, Inc., New York, N.Y., 1959.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 111 • Issue 11 • November 1985
Pages: 2402 - 2415
Copyright
Copyright © 1985 ASCE.
History
Published online: Nov 1, 1985
Published in print: Nov 1985
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