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Dissertation on “The Rank Technique” and its Application

Published online by Cambridge University Press:  04 July 2016

John Robinson*
Affiliation:
Boeing Company, Pennsylvania

Summary

“The Rank Technique” is a method for automatic selection of redundancies in the Matrix Force Method. The method was developed for the complete linear analysis of general plane frames, but is equally applicable to other forms of two- and three-dimensional configurations whose state can be expressed as a system of linear equations. An attractive feature of the method is that the structure is systematically and automatically investigated to determine its basic characteristics. The first point considered is whether the structure is stable or unstable for the prescribed load conditions; if stable, whether determinate or redundant and if redundant, the degree of redundancy. A consistent set of redundants is automatically isolated. For general structures the technique automatically generates the basic and redundant load systems in an indirect manner which can be made readily available, if required. The initial development of “The Rank Technique” was carried out in collaboration with Robert R. Regl and is given in reference 1.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1965

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References

1.Robinson, John and Regl, Robert R. An Automated Matrix Analysis for General Plane Frames. Journal of the American Helicopter Society, October 1963.Google Scholar
2.Robinson, John. Automatic Selection of Redundancies in the Matrix Force Method—“The Rank Technique”. Presented at the A.I.A.A./C.A.S.I. Joint Meeting, Ottawa, Canada, 26th-27th October 1964.Google Scholar
3.Robinson, John. Structural Matrix Analysis for the Engineer. Series of lectures given at The Boeing Company, Vertol Division, Morton, Pennsylvania, U.S.A.Google Scholar