J Austral Math Soc Ser B 32 pp469--491, 1991.

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

D. Bucco and J. Mazumdar

Abstract

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 F 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.

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Authors

D. Bucco

Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia, 5001.

Present address:

Guided Weapons Division, Weapons Systems Research Laboratory, Defence Science and Technology Organisation, Salisbury, South Australia, 5108.

J. Mazumdar

Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia, 5001.