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Analysis of shallow shells by a combination of finite elements and contour methods

Published online by Cambridge University Press:  17 February 2009

D. Bucco
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia, 5001.
J. Mazumdar
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia, 5001.
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Abstract

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Two generalised shallow-shell bending elements are developed for the analysis of doubly-curved shallow shells having arbitrarily shaped plan-forms. Although both elements are formulated using the concept of iso-deflection contour lines, one element uses the three displacement components U, V and W as the basic unknowns, while the displacement component W and the stress function ф serve as the unknowns in the other element. A number of illustrative examples are included to demonstrate the accuracy and relative convergence of the proposed shallow-shell elements when employed for static analysis purposes.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

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