Research Article
Dec 1968
Finite Deformations of Shallow Shells
Publication: Journal of the Engineering Mechanics Division
Volume 94, Issue 6
Abstract
A method is described for the numerical solution of nonlinear shell equations. By application of the Rayleigh-Ritz procedure the differential shell equations are represented by a set of nonlinear algebraic equations which are solved by the Newton-Raphson iteration procedure; the occurrence of double roots is avoided by the use, when necessary, of a suitable displacement parameter as the independent variable. The numerical method of analysis is applied to a limited range of doubly-curved, shallow shells, which are rectangular in planform and loaded with a uniform pressure. The complex solution paths of symmetrical configuration states are traced completely from the unloaded to inverted configurations. Bifurcations from these primary paths are detected and some are traced. They are found to be the solution curves of unstable unsymmetrical configurations.
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Published In
Journal of the Engineering Mechanics Division
Volume 94 • Issue 6 • December 1968
Pages: 1409 - 1414
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Dec 1968
Published online: Feb 3, 2021
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Authors
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R.H. Leicester, AM.ASCE
Senior Research Scientist, Div. of Forest Products, CSIHO, Melbourne, Australia; formerly Research Asst., Univ. of Illinois, Urbana, Ill.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.