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Natural Vibration with Damping Force Proportional to a Power of the Velocity

Published online by Cambridge University Press:  04 July 2016

A. W. Morley  and
W. D. Bryce
A. W. Morley
Affiliation:
Royal Naval College, Greenwich
W. D. Bryce
Affiliation:
National Gas Turbine Establishment, Pyestock
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Summary

The friction force in many physical systems has been found to depend on a power of the velocity, the magnitude of which varies according to the damping mechanism. This note employs an approximate theory applicable to small damping to examine the free vibration of a single degree of freedom system in which the damping force is proportional to an unspecified power of the velocity.

Correlation with experimental data on the internal damping of solid materials shows that this phenomenon also tends to obey a power law although discrepancies exist between the expected and observed behaviours. These arise from the interpretation of the damping coefficient and from the frequency dependence of the dissipated energy.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 67 , Issue 630 , June 1963 , pp. 381 - 385
Copyright
Copyright © Royal Aeronautical Society 1963

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References

1.Lazan, B. J. Fatigue failure under resonant vibration conditions. Fatigue, Chapter II, American Society for Metals (1954).CrossRefGoogle Scholar
2.Bishop, R. E. D.The treatment of damping forces in vibration theory. Journal of the Royal Aeronautical Society, page 738, Volume 59, November 1955.Google Scholar