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Transient Vibration by Vector Methods

Published online by Cambridge University Press:  04 July 2016

A. W. Morley
A. W. Morley*
Affiliation:
Royal Naval College, Greenwich
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Summary

In control theory, stability is investigated by established techniques such as the root-locus method. The same techniques may be applied to the control equivalent of a mechanical system and will show the transient state of the system. Vector methods such as are used to solve vibration problems may also be extended to give transients.

This note gives a vector representation of the transient vibration of a one degree of freedom system possessing inertia, elasticity and viscous damping. For the transient which is set up by a change in the steady vibration of the system, the initial amplitude and phase angle are readily found by vector methods. This information is sufficient to define the transient.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 70 , Issue 662 , February 1966 , pp. 357 - 359
Copyright
Copyright © Royal Aeronautical Society 1966

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References

1.Morley, A. W. The Simplified Vibration Damper Problem and its Solution. JRAeS, August 1964.Google Scholar
2.James, J. I. The Damped Vibration Absorber as a Prob lem in Closed Loop Control. JRAeS, October 1964.Google Scholar
3.El-Khaly, O. A.An Alternative Solution of the Damped Vibration Absorber. University of Cairo Report, 1965.Google Scholar