The Morley-Koiter Equations for Thin-Walled Circular Cylindrical Shells: Part 1—General Solution for Symmetrical Shells of Uniform Thickness

[+] Author and Article Information
C. P. Mangelsdorf

Department of Civil Engineering, University of Pittsburgh, Pittsburgh, Pa.

J. Appl. Mech 40(4), 961-965 (Dec 01, 1973) (5 pages) doi:10.1115/1.3423194 History: Received April 01, 1972; Online July 12, 2010


Modified Donnell equilibrium equations are solved in Part 1 for the case of symmetrical loading and supports, using Fourier series. An evaluation procedure for simple, fixed, and relaxed simple conditions is suggested. In Part 2, an application of the general solution is made for a shell with small circumferential grooves (or ribs) subjected to a longitudinal line load after approximations to allow for such grooves are introduced. The solution is completed for the boundary conditions of classical simple supports and relaxed simple supports and the results compared with experimental data.

Copyright © 1973 by ASME
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