Hostname: page-component-77c89778f8-m8s7h Total loading time: 0 Render date: 2024-07-18T22:06:12.698Z Has data issue: false hasContentIssue false

A General Note on the Selection of Redundancies in Structural Analysis

Published online by Cambridge University Press:  04 July 2016

John Robinson*
Affiliation:
Southampton University

Summary

This paper lists all the known published work on the development of automatic selection of redundancy techniques over the past decade. The main interest is a selection technique based on an algebraic procedure. It is emphasised that such a technique is very flexible in its application and that the redundancy selection can be completely automatic, completely preselected but automatically imposed or a combination of the two. This enables previous experience to be applied. The criterion is given for optimum redundancy selection and items which influence this are discussed. It is pointed out that the basic and redundant load transformation matrices can be generated automatically for general configurations.

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. Livesley, R. K. The Selection of Redundant Forces in Structures with an Application to the Collapse Analysis of Frameworks. Proc. Roy Soc A, Vol 301, No 1467, November 1967.Google Scholar
2. Livesley, R. K. A Systematic Method for the Collapse Analysis of Plane Frameworks. International Symposium, The Use of Electronic Digital Computers in Structural Engineering, University of Newcastle upon Tyne, 1966.Google Scholar
3. Gallagher, R. H. A Correlation Study of Methods of Matrix Structural Analysis Report to the 14th Meeting, Structures and Materials Panel, AGARD, France, 1962.Google Scholar
4. Robinson, J. and Regal, R. R. An Automated Matrix Analysis for General Plane Frames (the Rank Technique) J Am Helicopter Soc, 8(4), October 1963.Google Scholar
5. Robinson, J. Automatic Selection of Redundancies in the Matrix Force Method (the Rank Technique). CASJ, 11(1), January 1965. Presented at the AIAA/CASI Joint Meeting, Ottawa, Canada, October 1964.Google Scholar
6. Robinson, J. Dissertation on the Rank Technique and its Application. Journal of the Royal Aeronautical Society, Technical Note, April 1965.Google Scholar
7. Robinson, J. Structural Matrix Analysis for the Engineer. John Wiley and Sons, Inc, New York, 1966.Google Scholar
8. Robinson, J. The Question of Redundancy in Structural Vibrations. Euromech Colloquium No 5, Vibration of Buildings, ISVR University of Southampton, April 1967.Google Scholar
9. Robinson, J. Eigenvalues of Collinear Beam Structures using Finite Element Techniques and Various Dynamic Representations for the Structural Elements. Wiss. Z. Hochsch, Archit, Bauwes, Weimar, 1967, Heft 3. Paper presented at the 4th International Congress on the Application of Mathematics in Engineering, Weimar, East Germany, June 1967.Google Scholar
10. Robinson, J. and Petyt, M. Finite Element Techniques in Structural Vibrations. (To be published).Google Scholar
11. Robinson, J. A Study of the Rank Force Method for Structural Matrix Vibration Analysis. PhD Thesis, Institute of Sound and Vibration Research, University of Southampton, 1967.Google Scholar
12. Denke, P. H. A Matrix Method of Structural Analysis. Proc Second US National Congress of Applied Mechanics, ASME, pp 445-451, June 1954.Google Scholar
13. Denke, P. H. and Boldt, I. V. A General Digital Computer Program for Static Stress Analysis. Proc Western Joint Computer Conference, March 1955.Google Scholar
14. Denke, P. H. A General Digital Computer Analysis of Statically Indeterminate Structures. Paper presented before a meeting of the Structures and Materials Panel, AGARD (NATO), Aachen, Germany, September 1959.Google Scholar
15. Denke, P. H. A Computerized Static and Dynamic Structural Analysis System—III, Engineering Aspects and Mathematical Formulation of the Problem. Presented to SAE International Automotive Engineering Congress and Exposition. Detroit, January 1965.Google Scholar
16. Baty, J. P. Automatic Determination of Redundant Loops in Framed Structures and the Compilation of Structural Equation associated with Released Structures. International Symposium, The Use of Electronic Digital Computers in Structural Engineering. University of Newcastle upon Tyne, July 1966.Google Scholar
17. Argyris, J. H. and Kelsey, S. Modern Fuselage Analysis and the Elastic Aircraft. Butterworths,London, 1963.Google Scholar
18. Taig, I. C. and Kerr, R. I. Some Problems in the Discrete Element Representation of Aircraft Structures. Contained in; Matrix Methods of Structural Analysis. Edited by B. Fraeijs de Veubeke, . Pergamon Press, London, 1964.Google Scholar
19. Stoker, J. R. Fully Automated Structural Analysis by the Matrix Force Method. Paper presented at the JBCSA Conference on Recent Advances in Stress Analysis. London, March 1968.Google Scholar
20. Bruhn, E. F. Analysis and Design of Aircraft Structures. Tri-State Offset Company, Cincinnati, 1949. (Chapter A8, Statically Indeterminate Structures. Scbmitt, A. F.)Google Scholar
21. Robinson, J. Element Static Flexibility and Stiffness. Matrices for the Finite Element Analysis of Beam, Plate and Shell Structures (Part I, Plane Elements). ISVR. Report No 196, September 1967.Google Scholar