Hostname: page-component-5c6d5d7d68-wbk2r Total loading time: 0 Render date: 2024-08-08T00:43:53.760Z Has data issue: false hasContentIssue false
  • English
  • Français

Parametric Oscillations in Aircraft Structures

Published online by Cambridge University Press:  04 July 2016

A. D. S. Barr  and
G. T. S. Done
A. D. S. Barr
Affiliation:
Department of Mechanical Engineering, University of Edinburgh
G. T. S. Done
Affiliation:
Department of Mechanical Engineering, University of Edinburgh
Get access Rights & Permissions [Opens in a new window]

Extract

The purpose of this note is to outline the basic physical features of parametric oscillation or instability and to show how situations might arise in practice in aircraft structures in which these effects would be significant. In most situations, the appearance of parametric oscillations will be the exception rather than the rule because of the relatively stringent conditions for its existence as a substantial component of the response. Nevertheless it is felt that the dynamicist should be aware of the phenomenon and should have some knowledge of its nature both as an aid to its recognition when it does appear and as a guide to the sort of situations in which it might be expected.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 75 , Issue 729 , September 1971 , pp. 654 - 658
Copyright
Copyright © Royal Aeronautical Society 1971 

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. Bolotin, V. V. The Dynamic Stability of Elastic Systems, Holden-Day, 1964.Google Scholar
2. McLachlan, N. W. Theory and Application of Mathieu Functions, Dover Publications, 1964.Google Scholar
3. Valeev, K. G. On the Danger of Combination Resonances. Prikl Math Mech, Vol 27, No 6, pp. 1134-42, 1963. (English translation J Math Mech, pp. 1745-59).Google Scholar
4. Barr, A. D. S. Dynamic Instabilities in Moving Beams and Beam Systems. Proc 2nd Int Cong Theory of Machines and Mechanisms, Zakopane, Poland. Vol. 1, 1969.Google Scholar
5. Jones, J. P. Unpublished paper on parametric vibration of helicopter fuselages. University of Southampton, 1968. (See also ARC 30,991).Google Scholar
6. Ariaratnam, S. T. Dynamic Stability of a Column under Random Loading. Dynamic Stability of Structures. Ed. Herrmann, G., Pergamon Press, 1966.Google Scholar
7. Stammers, C. W. The Flutter of a Helicopter Rotor Blade in Forward Flight. Aeronautical Quarterly, Vol 21, No l pp. 18-8, 1970.Google Scholar
8. Masak, M. On the Lateral Instabilities of Aircraft due to Parametric Excitation. UTIAS TN No 86. January 1965.Google Scholar