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The TRIAX 6 Element for Axisymmetric Analysis by the Matrix Displacement Method

Part I Foundations

Published online by Cambridge University Press:  04 July 2016

J. H. Argyris
J. H. Argyris*
Affiliation:
Imperial College of Science and Technology, University of London, Institut für Statik und Dynamik der Luft-und Raumfahrtkonstruktionen, Universität Stuttgart
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Extract

The investigation of axisymmetric states of stress by the matrix displacement method may, in principle, be carried out as an ordinary exercise of three-dimensional analysis, using TETRA 4, TETRA 10 or other suitable elements. However, this approach is clearly not the most efficient by not taking advantage ab initio of the inherent simplifications arising in an axisymmetric state; this leads to an unnecessary inflation of the number of unknowns and complexity of the mesh. A number of techniques to deal with this limiting condition of a three-dimensional state have been developed at the ISD. The theory for one specific element, TRIAX 6 which evolves most naturally from the tapered TRIM 6 element analysed in the preceding note 8 is presented.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 70 , Issue 672 , December 1966 , pp. 1102 - 1105
Copyright
Copyright © Royal Aeronautical Society 1966

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References

1.Argyris, J. H.A Tapered TRIM 6 Element for the Matrix Displacement Method. Journal of the Royal Aeronautical Society, Vol. 70, November 1966.Google Scholar
2.Wilson, E. L.Structural Analysis of Axisymmetric Solids, AIAA Journal, 3, 12, p. 2269, December 1965.CrossRefGoogle Scholar
3.Argyris, J. H.Three-Dimensional Anisotropic and Inhomogeneous Elastic Media; Matrix Analysis for Small and Large Displacements, lngenieur Archiv, Vol. 34, No. 1, pp. 33–55.CrossRefGoogle Scholar
4.Argyris, J. H.Triangular Elements with Linearly Varying Strain for the Matrix Displacement Method. Journal of the Royal Aeronautical Society, p. 711, Vol. 69, October 1965.Google Scholar
5.Berezin, I. S. and Zhidkov, N. P.Computing Methods, Vol. 1. Pergamon Press, London, 1965.Google Scholar