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A Resonance Chart for Damped Vibration

Published online by Cambridge University Press:  28 July 2016

R. E. D. Bishop
R. E. D. Bishop*
Affiliation:
Engineering Laboratory, University of Cambridge
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Extract

A convenient method is pointed out for calculating the response of a damped linear system with one degree of freedom to harmonic excitation. Results of such calculations are usually represented by the familiar “ resonance curves ”—one curve being plotted for each intensity of damping. These curves are not particularly convenient to use and Yates has overcome several of their defects by throwing them into a nomographic form. Yates' nomogram is based upon the concept of viscous damping and it does not give the information of a conventional set of resonance curves in that it relates to the velocity of vibration. By changing over to hysteretic damping, a nomogram of somewhat similar form may be constructed such that it gives amplitudes and phase angles of displacements while retaining the advantages, over resonance curves, of this form of representation.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 59 , Issue 540 , December 1955 , pp. 850 - 852
Copyright
Copyright © Royal Aeronautical Society 1955

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References

1. Yates, H. G. (1943). A Universal Resonance Chart. The Engineer, p. 268, 1st October 1943.Google Scholar
2. Bishop, R. E. D. (1955). The Treatment of Damping Forces in Vibration Theory. Journal of the Royal Aeronautical Society, p. 738, Vol. 59, November 1955.Google Scholar