Research Article
May 1969
Convergence of Hypar Finite-Difference Solutions
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VIEW THE REPLYAuthors: J.G.A. Croll and J. C. ScrivenerAuthor Affiliations
Publication: Journal of the Structural Division
Volume 95, Issue 5
Abstract
A study of the convergence rates of finite-difference solutions of the linear thin shallow shell equations for single panel ruled surface hyperbolic paraboloids is reported. Boundary conditions of clamped, simply supported edges, free edges and edges elastically supported on edge beams are shown to have a considerable effect on the convergence rates. Using conventional finite-difference methods and an iterative method of solution, investigations with successively finer grids show that satisfactory convergence of in-plane actions is obtained on relatively coarse difference grids (grid spacings less than 8 in both directions over 1/4 of the shell area), and that convergence of moments and deflections require finer grids. Higher order boundary approximations and the modified finite-difference technique give slightly increased accuracy only at the expense of greatly increased computational effort.
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Published In
Journal of the Structural Division
Volume 95 • Issue 5 • May 1969
Pages: 809 - 830
Copyright
© 1969 American Society of Civil Engineers.
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Published in print: May 1969
Published online: Feb 1, 2021
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J.G.A. Croll
Post Doctoral Fellow, Dept. of Civ. and Municipal Engrg., Univ. College, London, England
J. C. Scrivener
Sr. Lecturer in Civ. Engrg., Univ. of Canterbury, Christchurch, New Zealand
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