The Morley-Koiter Equations for Thin-Walled Circular Cylindrical Shells: Part 2—Solution for a Line Loaded Cylinder With Close-Spaced Circumferential Grooves

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

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

J. Appl. Mech 40(4), 966-970 (Dec 01, 1973) (5 pages) doi:10.1115/1.3423195 History: Received April 01, 1972; Online July 12, 2010


In Part 1, modified Donnell equilibrium equations were solved for the case of symmetrical loading and supports using Fourier series. An evaluation procedure for various boundary conditions was 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 groves are introduced. The solution is completed for 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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