Hostname: page-component-cc8bf7c57-pd9xq Total loading time: 0 Render date: 2024-12-11T23:06:33.810Z Has data issue: false hasContentIssue false
  • English
  • Français

The SHEBA Family of Shell Elements for the Matrix Displacement Method

Published online by Cambridge University Press:  04 July 2016

J. H. Argyris  and
D. W. Scharpf
J. H. Argyris
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
Get access Rights & Permissions [Opens in a new window]

Extract

Considerable effort has been extended over the past years in adapting the matrix displacement method to the specific problems of thin shells under membrane and bending action and developing suitable elements of varying sophistication. Some of the difficulties arising in the process of idealisation were reviewed in ref. 1. For example, simple considerations show that a representation of a shell by polyhedron surfaces may lead to serious errors, especially in the presence of pronounced bending and so-called boundary-layer effects. For this and other reasons it appears imperative to allow for the curvature of the shell. Much ingenuity has been shown in evolving elements for shells of specific geometry.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 72 , Issue 694 , October 1968 , pp. 873 - 883
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, 19th May 1965. To be published in The Aeronautical Journal of the Royal Aero nautical Society. Google Scholar
2. Grafton, P. E. and Strome, D. R. Analysis of Axisymmetric Shells by the Direct Stiffness Method. Journal of the AIAA, Vol 1, No 10, pp 2342–2347, October 1963.Google Scholar
3. Popov, E. P., Penzien, J. and, Lu, Z. A. Finite Element Solution for Axisymmetric Shells. Journal of Engineering, Mechanics Division, Proceedings of the American Society of Civil Engineers, Vol 90, pp 119–145, October 1964.Google Scholar
4. Percy, J. H., et al. Application of Matrix Displacement Method to Linear Elastic Analysis of Shells of Revolution. AIAA, Paper 65-142, January 1965.Google Scholar
5. Klein, S. A Study of the Matrix Displacement Method as Applied to Shells of Revolution. Air Force Conference on Matrix Methods in Structural Mechanics at Wright-Patterson Air Force Base, Dayton, Ohio, 26th-28th October 1965. Proceedings, December 1966.Google Scholar
6. Stricklin, J. A., Navaratna, D. R. and Pian, T. H. H. Improvements on the Analysis of Shells of Revolution by the Matrix Displacement Method. Journal of the AIAA, Vol 4, No 11, pp 2069–2072, November 1966.Google Scholar
7. Percy, J. H. et al. Application of Matrix Displacement Method to Linear Elastic Analysis of Shells of Revolution. Journal of the AIAA, Vol 3, No 11, pp 2138–2145, November 1965.Google Scholar
8. Iones, R. E. and Strome, D. R. A Survey of Analysis of Shells by the Displacement Method. Air Force Conference on Matrix Methods in Structural Mechanics at Wright-Patterson Air Force Base, Dayton, Ohio, 26th-28th October 1965. Proceedings, December 1966.Google Scholar
9. Bogner, F. K., Fox, R. L. and Schmit, L. A. A Cylindrical Shell Discrete Element. Journal of the AIAA, Vol 5, No 4, pp 745–750, April 1967.Google Scholar
10. Utku, S. Stiffness Matrices for Thin Triangular Elements of Nonzero Gaussian Curvature. AIAA, 4th Aerospace Sciences Meeting, Paper 66-530, June. 1966.Google Scholar
11. Gol'denveizer, A. L. Theory of Elastic Thin Shells, Pergamon Press, 1961.Google Scholar
12. Kraus, H. Thin Elastic Shells, John Wiley & Sons, London, 1967.Google Scholar
13. Koiter, W. T. A Consistent First Approximation in the General Theory of Thin Elastic Shells. Proceedings of the Symposium on the Theory of Thin Elastic Shells, IUTAM, Delft, pp 12–33, North-Holland, Amsterdam, 1960.Google Scholar
14. Sanders, J. L. An improved First Approximation Theory for Thin Shells, NASA, TR, R-24, 1959.Google Scholar
15. Reissner, E. On the Form of Variationally Derived Shell Equations. Journal of Applied Mechanics, Vol 31, pp 233–238, 1964.Google Scholar
16. Argyris, J. H. Continua and Discontinua. Opening Paper to the Air Force Conference on Matrix Methods in Structural Mechanics at Wright-Patterson Air Force Base, Dayton, Ohio, 26th-28th October 1965. Proceedings, December 1966.Google Scholar
17. Argyris, J. H. and Fried, I. The Lumina Element for the Matrix Displacement Method. The Aeronautical Journal of the Royal Aeronautical Society, Vol 72, No 690, pp 514–517, June 1968.Google Scholar
18. Argyris, J. H., Fried, I. and Scharpf, D. W. The Hermes 8 Element for the Matrix Displacement Method, The Aeronautical Journal of the Royal Aeronautical Society, Vol 72, No 691, pp 613–617, July 1968.Google Scholar
19. Argyris, J. H., Fried, I. and 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 618–623, July 1968.Google Scholar
20. Argyris, J. H., Fried, I. and Scharpf, D. W. The Tuba Family of Plate Elements for the Matrix Displacement Method. The Aeronautical Journal of the Royal Aeronautical Society, Vol 72, No 692, pp 701–709, August 1968.Google Scholar