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The Triangular Equilibrium Element in the Solution of Plate Bending Problems

Published online by Cambridge University Press:  07 June 2016

L. S. D. Morley
L. S. D. Morley*
Affiliation:
Royal Aircraft Establishment, Farnborough
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Summary

Further details are given of a recently developed triangular equilibrium element which is then applied, in conjunction with the complementary energy principle, to the finite element analysis of some plate bending problems. The element is demonstrated to have a straightforward and satisfactory application and to possess advantages over the conventional triangular displacement element.

Type
Research Article
Information
Aeronautical Quarterly , Volume 19 , Issue 2 , May 1968 , pp. 149 - 169
Copyright
Copyright © Royal Aeronautical Society. 1968

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References

1. Morley, L. S. D. A triangular equilibrium element with linearly varying bending moments for plate bending problems. Journal of the Royal Aeronautical Society, Vol. 71, p. 715, October 1967.CrossRefGoogle Scholar
2. Fraeus de Veubeke, B. Displacement and equilibrium models in the finite element method. In Stress analysis, Wiley, New York, 1965.Google Scholar
3. Argyris, J. H. Reinforced fields of triangular elements with linearly varying strain; effect of initial strain. Journal of the Royal Aeronautical Society, Vol. 69, p. 799, 1965.CrossRefGoogle Scholar
4. Zienkiewicz, O. C. The finite element method in structural and continuum mechanics. McGraw-Hill, New York, 1967.Google Scholar
5. Timoshenko, S. and Woinowsky-Krieger, S. Theory of plates and shells. McGraw-Hill, New York, 1959.Google Scholar
6. Dawe, D. J. On assumed displacements for the rectangular plate bending element. Journal of the Royal Aeronautical Society, Vol. 71, p. 722, October 1967.CrossRefGoogle Scholar
7. Benthem, J. P. Note on minimizing a quadratic function with additional linear constraints by matrix methods, with application to stress analysis. National Aeronautical Research Institute (Amsterdam) Report S 437, 1954.Google Scholar