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Some Properties of Nodes in Vibrating Systems

Published online by Cambridge University Press:  07 June 2016

R. E. D. Bishop  and
D. C. Johnson
R. E. D. Bishop
Affiliation:
University Engineering Laboratory, Cambridge
D. C. Johnson
Affiliation:
University Engineering Laboratory, Cambridge
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Summary

Special forms of the receptance functions of mechanical systems are shown to indicate the existence of nodes. these are associated with horizontal straight lines in receptance diagrams. the effects of this nodal condition are explained in terms of simple torsional and translational systems for the sake of simplicity; but the theory may be extended to any type of system and any set of generalised co-ordinates. a particular instance arises if principal co-ordinates are used. the paper is a sequel to an earlier paper.

Type
Research Article
Information
Aeronautical Quarterly , Volume 6 , Issue 1 , February 1955 , pp. 46 - 58
Copyright
Copyright © Royal Aeronautical Society. 1955

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References

1. Biot, M. A. Coupled Oscillations of Aircraft Engine-Propeller Systems. Journal of the Aeronautical Sciences, Vol. 7, pp. 376–382, July 1940.Google Scholar
2. Bishop, R. E. D. The Analysis and Synthesis of Vibrating Systems. Journal of the Royal Aeronautical Society, October 1954.CrossRefGoogle Scholar
3. Duncan, W. J. Mechanical Admittances and their Applications to Oscillation Problems. R. & M. 2000, 1947.Google Scholar
4. Johnson, D. C. The Application of Admittance Methods to the Classical Theory of Small Oscillations. Engineering, Vol. 171, 4453, pp. 650–652, June 1951.Google Scholar