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Modification Techniques in the Matrix Force Method

Published online by Cambridge University Press:  04 July 2016

P. R. Miller  and
R. K. Sarin
P. R. Miller
Affiliation:
Stress Office, BAC Ltd., Weybridge
R. K. Sarin
Affiliation:
Stress Office, BAC Ltd., Weybridge
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Extract

The problem of cut-outs in structures being analysed by the matrix force method is solved by Goodey by the method of undetermined multipliers. It can be shown that the final results are identical to those of ref. 2. In this note we demonstrate that the method of undetermined multipliers can also be used to incorporate modifications into a structure. This, in itself, is only of academic interest for a simple problem. However, it does give many advantages when dealing with more complex situations. The basic equations can be written down quite simply and the development of the subsequent matrix algebra follows the straightforward pattern for solving simultaneous equations. Also, where previous results can be used, this becomes apparent.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 75 , Issue 722 , February 1971 , pp. 126 - 128
Copyright
Copyright © Royal Aeronautical Society 1971 

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References

1. Goodey, W. J. Notes on a General Method of Treatment of Structural Discontinuities. Journal of the Royal Aeronautical Society, Vol 59, p. 695, October 1955.Google Scholar
2. Aroyris, J. H. and Kelsey, S. Modern Fuselage Analysis and the Elastic Aircraft. Butterworths, London, 1963.Google Scholar