Free Vibrations of Oval Cylindrical Panels
Publication: Journal of Engineering Mechanics
Volume 110, Issue 7
Abstract
In this paper the dynamic characteristics of oval cylindrical panels, with simply supported curved edges and various boundary conditions along the straight edges, are established on the basis of the Flügge or Donnell type theories using the procedure presented by the writers (5). Numerical results are presented and the effect of the ovality as well as other geometric parameters of the panels are investigated. Moreover, the results obtained on the basis of the aforementioned theories are compared.
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References
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Gantmacher, F. R., The Theory of Matrices, Vols. I, II, Chelsea Publishing Company, New York, N.Y.
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4.
Kempner, J., “Energy Expressions and Differential Equations for Stress and Displacement Analyses of Arbitrary Cylindrical Shells,” PIBAL, Report No. 371, Polytechnic Institute of Brooklyn, Apr., 1957
(also, Journal of Ship Research, Vol. 2, No. 1, June, 1958, pp. 8–19).
5.
Koumousis, V. K., and Armenàkas, A. E., “Free Vibration of Noncircular Cylindrical Panels with Simply Supported Curved Edges,” Journal of Engineering Mechanics, Vol. 110, No. 5, May, 1984, pp. 810–827.
6.
Kraus, H., Thin Elastic Shells, John Wiley and Sons Inc., New York, London, Sydney, Chapters 10 and 11.
7.
Kurt, C. E., and Boyd, D. E., “Vibrations of Noncircular Cylindrical Shell Segments,” AIAA Journal, Vol. 9, Feb., 1971, pp. 239–244.
8.
Leissa, A. W., “Vibrations of Shells,” NASA, SP 288, 1973.
9.
Marguerre, K., “Stability of the Cylindrical Shells of Variable Curvature,” NACA, TM 1302, July, 1951.
10.
Romano, F., and Kempner, J., “Stresses in Short Non‐Circular Cylindrical Shells under Lateral Pressure,” Transactions, American Society of Mechanical Engineers, Ser, E: Journal of Applied Mechanics, Vol. 29, Dec., 1962, pp. 669–674.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 110 • Issue 7 • July 1984
Pages: 1107 - 1123
Copyright
Copyright © 1984 ASCE.
History
Published online: Jul 1, 1984
Published in print: Jul 1984
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