Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-30T23:41:46.479Z Has data issue: false hasContentIssue false

The TUBA Family of Plate Elements for the Matrix Displacement Method

Published online by Cambridge University Press:  04 July 2016

J. H. Argyris
Affiliation:
Imperial College of Science and Technology, University of London, Institut für Statik und Dynamik der Luft-und Raumfahrtkonstruktionen, Universität, Stuttgart
I. Fried
Affiliation:
Imperial College of Science and Technology, University of London, Institut für Statik und Dynamik der Luft-und Raumfahrtkonstruktionen, Universität, Stuttgart
D. W. Scharpf
Affiliation:
Imperial College of Science and Technology, University of London, Institut für Statik und Dynamik der Luft-und Raumfahrtkonstruktionen, Universität, Stuttgart

Extract

The analytical construction of displacement functions for plate elements subject to bending was discussed at some length in ref. 1. Attention was thereby drawn to both triangular and quadrilateral elements available in the ASKA system, which satisfy either all kinematic compatibility conditions or are deficient in the continuity of the gradient normal to the edge. The most rudimentary elements of the triangular set consist of the so-called fully compatible TRIB 3C and the TRIB 3, which satisfies the slope condition only at the vertices. The TRIB 3C corresponds in principle, but not in detail, to the element evolved by Bazeley et al but allows, however, also for linear taper.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1968 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Argyris, J. H. The Computer Shapes the Theory. Lecture to the Royal Aeronautical Society, 18th May 1965.Google Scholar
2. Bazeley, G. P., Cheung, Y. K., Irons, B. M., Zien-Kiewicz, O. C. Triangular Elements in Plate Bending— Conforming and Non-Conforming Solutions. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Wright Patterson AFB, Dayton, Ohio, October 1965.Google Scholar
3. Clough, R. W., Tocher, J. L. Finite Element Stiffness Matrices for Analysis of Plate Bending. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Wright Patterson AFB, Dayton, Ohio, October 1965.Google Scholar
4. De VeubekeFraeijs, B. Fraeijs, B. Bending and Stretching of Plates—Special Models for Upper and Lower Bounds. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Wright Patterson AFB, Dayton, Ohio, October 1965.Google Scholar
5. Argyris, J. H. Continua and Discontinua. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Wright Patterson AFB, Dayton, Ohio, October 1965.Google Scholar
6. Argyris, J. H., Bosshard, W., Fried, I., Hilber, H. M. A Fully Compatible Plate Bending Element, ISD Report No 42, December 1967.Google Scholar
7. Dunne, P. C. Complete Polynomial Displacement Fields for Finite Element Methods. The Aeronautical Journal of the Royal Aeronautical Society, Vol 72, No 687, pp 245246, March 1968.Google Scholar
8. Argyris, J. H. Some Results on the Free-Free Oscillations of Aircraft Type Structures. IUTAM Symposium on Linear Vibrations, Paris, 13th-15th April 1965, Revue de la Societe Francaise de Mecanique, No 3, 1965.Google Scholar
9. Argyris, J. H., Fried, I., Scharpf, D. W. The TET 20 and TEA 8 Elements for the Matrix Displacement Method. The Aeronautical Journal of the Royal Aeronautical Society, Vol 72, No 691, pp 618623, July 1968.Google Scholar
10. Argyris, J. H. Arbitrary Quadrilateral Spar Webs for the Matrix Displacement Method. The Journal of the Royal Aeronautical Society, Vol 70, No 662, pp 359362, February 1966.Google Scholar
11. Bell, K. Analysis of Thin Plates in Bending Using Triangular Finite Elements, Institutt for Statikk, NTH, Trondheim, 1968.Google Scholar
12. Visser, W. The Finite Element Method in Deformation and Heat Conduction Problems. Dr. Ir. Dissertation, T. H. Delft, March 1968.Google Scholar
13. Bosshard, W. IVBH. Vol 28, June 1968, Zurich.Google Scholar