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Matrix Displacement Analysis of Anisotropic Shells by Triangular Elements

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 fur Statik und Dynamik der Luft-und Raumfahrtkonstruktionen, Stuttgart
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Extract

Over the last five years or so both in the USA (especially by the active group at Berkeley under R. W. Clough(7) ) and the UK, there have been a number of attempts to incorporate the plane triangular element under bending and membrane action into a general matrix displacement analysis of shells. All investigators stressed the positive aspects of the triangular element, which arise from its adaptability to any geometrical form of the shell, but noted at the same time some serious shortcomings due to a partial satisfaction of the kinematic compatibility conditions at the boundary. Thus we have within the Matrix Displacement Method the rather unusual example of a type of element whose deficiency with respect to kinematic compatibility does not automatically ensure convergence to the exact result as the number of elements is increased.

Type
Research Article
Information
The Aeronautical Journal , Volume 69 , Issue 659 , November 1965 , pp. 801 - 805
Copyright
Copyright © Royal Aeronautical Society 1965

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References

1.Argyris, J. H. The Computer Shapes the Theory. Lecture to the Royal Aeronautical Society, 18th May 1965. To be published in the Journal of the Royal Aeronautical Society.Google Scholar
2.Argyris, J. H.Recent Advances in Matrix Methods of Structural Analysis, Progress in Aeronautical Sciences, Vol. 4. Pergamon Press, Oxford, London, New York, Paris, 1963.Google Scholar
3.Argyris, J. H.Triangular Elements with Linearly Varying Strain. Journal of the Royal Aeronautical Society, Vol. 69, October 1965.CrossRefGoogle Scholar
4.Argyris, J. H.Reinforced Fields of Triangular Elements with Linearly Varying Strain; Effect of Initial Strains. Journal of the Royal Aeronautical Society, Vol. 69, November 1965.CrossRefGoogle Scholar
5.Argyris, J. H.Three-Dimensional Anisotropic and Inhomogeneous Elastic Media Matrix Analysis for Small and Large Displacements. Ingenieur Archiv, Vol. 34, No. 1, pp 33–35, 1965.Google Scholar
6.Argyris, J. H. Prolegomena to a General Matrix Displacement Theory of Plates and Shells. To be published in Ingenieur Archiv, Vol. 35, No. 2, 1966.Google Scholar
7.Clough, R. W. and Tocher, G.L.Analysis of Plate Bending Using Triangular Elements. Berkeley University, California, Report, 1962.Google Scholar
8.Clough, R. W.The Finite Method in Structural Mechanics.Stress Analysis. John Wiley & Sons, Ltd., London, 1965.Google Scholar
9.Argyris, J. H.The Trondheim Lectures on the Matrix Theory of Structures. John Wiley & Sons, Ltd., London, 1966.Google Scholar
10.Argyris, J. H. Application of Triangular Elements to Analysis of Anisotropic Shells. Research Report to The Boeing Company, Airplane Division, August 1964.Google Scholar