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Free Vibration and Hysteretic Damping

Published online by Cambridge University Press:  04 July 2016

P. Lancaster
P. Lancaster*
Affiliation:
Department of Mathematics, University of Malaya, Singapore
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Extract

I would like to add yet another note to those already published on the notions of viscous and hysteretic damping in a simple oscillator. In particular, I would like to hammer a nail into the coffin of the so-called “complex stiffness.“

One of the features which hysteretic damping may be defined to possess is the property that the energy loss per cycle (in sinusoidal motion) is independent of the frequency of oscillation, ω. This property is derived from some experimental evidence. It is shown in Reference 1 that this behaviour is reproduced by the particular integral of the equation

Type
Technical Notes
Information
The Aeronautical Journal , Volume 64 , Issue 592 , April 1960 , pp. 229
Copyright
Copyright © Royal Aeronautical Society 1960

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References

1.Bishop, R. E. D. (1955). The Treatment of Damping Forces in Vibration Theory. Journal of the Royal Aero nautical Society, Vol. 59, p. 738, November 1955.Google Scholar
2.Reid, T. J. (1956). Free Vibration and Hysteretic Damping. Journal of the Royal Aeronautical Society, Vol. 60, p. 283, April 1956.Google Scholar
3.Myklestad, N. O. (1952). The Concept of Complex Damping. Journal of Applied Mechanics, Vol. 19, p. 284, 1952.Google Scholar
4.Scanlan, R. H. and Rosenbaum, R. (1951). Introduction to the Study of Aircraft Vibration and Flutter. Macmillan, New York. p. 85, 1951.Google Scholar
5.Robertson, J. M. and Yorgiadis, A. J. (1946). Internal Friction in Engineering Materials. Journal of Applied Mechanics, Vol. 13, p. A173, 1946.Google Scholar