Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-05T10:12:27.067Z Has data issue: false hasContentIssue false

Transient Vibration by Vector Methods

Published online by Cambridge University Press:  04 July 2016

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

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
Copyright
Copyright © Royal Aeronautical Society 1966

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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