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RESEARCH PAPERS

Analysis of Shells of Revolution Subjected to Symmetrical and Nonsymmetrical Loads

[+] Author and Article Information
A. Kalnins

Yale University, New Haven, Conn.

J. Appl. Mech 31(3), 467-476 (Sep 01, 1964) (10 pages) doi:10.1115/1.3629664 History: Received July 31, 1963; Online September 15, 2011

Abstract

The boundary-value problem of deformation of a rotationally symmetric shell is stated in terms of a new system of first-order ordinary differential equations which can be derived for any consistent linear bending theory of shells. The dependent variables contained in this system of equations are those quantities which appear in the natural boundary conditions on a rotationally symmetric edge of a shell of revolution. A numerical method of solution which combines the advantages of both the direct integration and the finite-difference approach is developed for the analysis of rotationally symmetric shells. This method eliminates the loss of accuracy encountered in the usual application of the direct integration approach to the analysis of shells. For the purpose of illustration, stresses and displacements of a pressurized torus are calculated and detailed numerical results are presented.

Copyright © 1964 by ASME
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