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A Note on the Calculation of Torsional Natural Frequencies of Branch Systems

Published online by Cambridge University Press:  04 July 2016

Arthur C. Gilbert
Arthur C. Gilbert*
Affiliation:
Dynamics Unit, Technical Sciences, North American Aviation Inc., Missile Division
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Extract

An Adoption of matrix techniques is proposed as a method for the solution of torsional natural frequencies in a branch or geared shaft system. Both fundamental and higher mode shapes and frequencies are produced by a comparatively rapid and straightforward technique. The method is illustrated by a numerical example of a coupled turbine and reciprocating engine system driving a common propeller.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 62 , Issue 572 , August 1958 , pp. 599 - 603
Copyright
Copyright © Royal Aeronautical Society 1958

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References

1.Frazer, R. A., Duncan, W. J. and Collar, A. R. (1938). Elementary Matrices. Cambridge University Press, 1938.Google Scholar
2.Wilson, W. Ker (1948). Practical Solution of Torsional Vibration Problems, Vol. I. Chapman and Hall, 1948.Google Scholar
3.Von Karman, TH. and Biot, M. A. (1940). Mathematical Methods in Engineering. McGraw-Hill, 1940.Google Scholar
4.Flomenhoft, H. I. (1949). A Method for Determining Mode Shapes and Frequencies above the Fundamental by Matrix Iteration. Paper No. 49-A-21, Journal of Applied Mechanics, 1949.Google Scholar
5.Gilbert, A. C. and Gillmore, K. B. (1951). Discussion on Ref. 4. Journal of Applied Mechanics, March 1951.Google Scholar