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Timoshenko beam finite elements

✍ Scribed by D.L. Thomas; J.M. Wilson; R.R. Wilson

Publisher: Elsevier Science
Year: 1973
Tongue: English
Weight: 688 KB
Volume: 31
Category: Article
ISSN: 0022-460X
DOI: 10.1016/s0022-460x(73)80276-7

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✦ Synopsis

During the past few years, a number of different finite elements for Timoshenko beams have been published. These formulations are reviewed and a new element which has three degrees of freedom at each of two nodes is presented. The rates of convergence of a number of the elements are compared by calculating the natural frequencies of two cantilever beams. It is shown that most of the published elements with two nodes and two degrees of freedom at each node are transformations of the same basic element and that, of the more complex elements considered, only the new element converges as quickly as this element.

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