Research Article
Feb 1966
Numerical Analysis of Translational Shell Roofs
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 92, Issue 1
Abstract
A method is presented for the computer analysis of translational shells by numerical integration. Both the general cylindrical shell equations, obtained from Love and Reissner, and a simplified set of equations for shallow translational shells are formulated for numerical integration. A Lévy type solution is assumed for the shell displacements and the governing partial differential equations are reduced to a system of eight first order linear differential equations. The shell boundary value problem is converted into an initial value problem that is solved on a digital computer by a numerical integration scheme permitting the rigorous analysis of a translational shell with variable thickness, curvature, and loading. The number of simultaneous equations to be solved depends only on the number of boundary conditions and not on the number of integration steps. Numerical examples are given to illustrate the behavior of cylindrical shells with both variable thickness and variable curvature and doubly curved translational shells. Numerical results are examined in terms of accuracy and computer time.
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Published In
Journal of the Structural Division
Volume 92 • Issue 1 • February 1966
Pages: 223 - 244
Copyright
© 1966 American Society of Civil Engineers.
History
Published in print: Feb 1966
Published online: Feb 1, 2021
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Authors
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Arthur W. Hedgren Jr., AM.ASCE
Graduate Student, Dept. of Civ. Engrg., Princeton Univ., Princeton, N. J.
David P. Billington, M.ASCE
Prof. of Civ. Engrg., Princeton Univ., Princeton, N. J.
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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.