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Determination of the damping of a system using a planimeter

Published online by Cambridge University Press:  04 July 2016

J. B. Russell
J. B. Russell*
Affiliation:
Department of Aeronautics, The City University
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Extract

A problem, commonly met in scientific and engineering experiments, is the determination of the damping of a system, given a recorded trace (such as that from a uv recorder) of the free damped oscillation following a disturbance. The simplest and most tedious method is to plot the logarithm of the peak amplitude at each half cycle against cycle number. Other methods have been given by Hogley and Gimmestad, Bratt and Wilcox and Crawford. However, the problem is so common, and the experiments and methods of recording the results so diverse, it is felt that a further method could find a place in the range of those available.

Type
Technical notes
Information
The Aeronautical Journal , Volume 80 , Issue 782 , February 1976 , pp. 82 - 84
Copyright
Copyright © Royal Aeronautical Society 1976 

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References

1. Hogley, J. and Gimmestad, D. The Spadoryc-A Method of Determining Damping. AIAA J. Aircraft Engineering Notes, Vol 5, No 6, pp 607-8, November-December 1968.Google Scholar
2. Bratt, J. B. Wind Tunnel Techniques for Measurement of Oscillatory Derivatives. ARC R&M No 3319, August 1960.Google Scholar
3. Wilcox, P. R. and Crawford, W. L. A Least Squares Method for the Reduction of Free Oscillation Data. NASA Tech Note D4503, June 1968.Google Scholar