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A mixed finite element method for bending of plates

✍ Scribed by Apostol Poceski

Publisher
John Wiley and Sons
Year
1975
Tongue
English
Weight
560 KB
Volume
9
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

A simple mixed finite element method is developed. The finite element is a rectangular triangle and rectangle. In the element the deflections are assumed to be simple four‐element polynomials, bending moments, M~x~ and M~y~ with a partially linear distribution, and a constant, M~xy~, expressed in terms of the node deflections. The element matrix is of the order of 8 Γ— 8. It is derived in a common engineering way. The unknowns are the deflections at the nodes and mid‐diagonal, the two moments at the end of the diagonal and the two moments on the cathetus. The results obtained by this method show good convergence and an improvement in the accuracy of the moments as well as in the deflections, compared with results obtained by similar methods, such as those of Herrmann.

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