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Natural Vibration with Damping Proportional to a Power of the Velocity

Published online by Cambridge University Press:  04 July 2016

P. D. Richardson*
Affiliation:
Division of Engineering, Brown University, Providence, R.I., U.S.A.

Summary

In a recent note in the Journal, Morley and Bryce discuss the problem of natural vibration with a damping force proportional to a power of the velocity. They address themselves particularly to the problem of interpreting experimental measurements, and mention an application of the study of an elasticity in metals. They were apparently unaware of previous analytic studies of this problem, and their analysis is somewhat inaccurate in indicating that the full-cycle logarithmic decrement rather than the half-cycle logarithmic decrement characterises the damping.

It is intended here to outline the previous analytic studies, to present the essential results, including those which can be directly employed in the interpretation of amplitude measurements, and to mention typical applications.

Type
Technical notes
Copyright
Copyright © Royal Aeronautical Society 1964

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References

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