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An accurate polynomial displacement function for unite ring elements

Authors
Journal
Computers & Structures
0045-7949
Publisher
Elsevier
Publication Date
Volume
11
Issue
4
Identifiers
DOI: 10.1016/0045-7949(80)90076-0

Abstract

Abstract A finite element solution is developed for a circular ring or curved beam. A polynomial displacement function is used. The solution gives high accuracy for an element which subtends an angle as great as 90°. Both inextensional and extensional deformations are considered. The loads may be either concentrated or distributed. It is shown that failures which have occurred in earlier attempts to use polynomial displacement functions for curved elements are due not to the neglect of rigid body motions as frequently stated in the literature, but to the neglect of coupling between normal and tangential displacements.

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