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A Note on the Vibration of Systems Containing Epicyclic Gears

Published online by Cambridge University Press:  28 July 2016

R. E. D. Bishop  and
M. Alison Todd
R. E. D. Bishop
Affiliation:
Engineering Laboratory, University of Cambridge
M. Alison Todd
Affiliation:
Engineering Laboratory, University of Cambridge
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Extract

The Purpose of this note is to present a table of the receptances of simple epicyclic gears and to show how they may be used. This table of results has two main uses. In the first place the receptances simplify the calculation of the natural frequencies of torsional systems containing these gears by the methods explained previously. Secondly, responses of systems (which incorporate these gears) to given harmonic excitations may be estimated, either in the absence of damping, or when there is damping present of known amount in the component sub-systems. This second use of receptances is illustrated by a simple example in this note; it is based upon the fact that the receptances of a compound system may be built up from those of its sub-systems irrespective of whether there is damping present or not.

Type
Research Article
Information
The Aeronautical Journal , Volume 59 , Issue 532 , April 1955 , pp. 308 - 310
Copyright
Copyright © Royal Aeronautical Society 1955

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References

1. Bishop, R. E. D. (1954). The Analysis and Synthesis of Vibrating Systems. Journal of the Royal Aeronautical Society, October 1954.Google Scholar
2. Duncan, W. J. (1947). Mechanical Admittances and their Applications to Oscillation Problems. R. & M. 2,000, 1947.Google Scholar
3. Welbourn, D. B (1953). Velocity Ratios of Epicyclic Gears. Engineering, pp. 198-199, 1953.Google Scholar