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Forced Autorotat ion in the Rolling Motion of an Aeroplane

Published online by Cambridge University Press:  07 June 2016

G. R. Walsh
G. R. Walsh*
Affiliation:
Department of Mathematics, University of York
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Summary

The possible steady rates of roll of an aeroplane are determined in the case when inertia cross-coupling is present. This phenomenon not only changes the simple linear relationship between aileron angle and rate of roll, but may lead to more than one possible rate of roll for a given aileron angle. Simplified equations of motion are given for the cases in which the rolling takes place (a) from level flight, (b) during a pull-out manoeuvre. In both cases, these equations, which are non-linear, are solved numerically for typical examples. The static stability of the possible steady motions is considered in detail, and the dynamic stability is determined in the numerical examples.

Type
Research Article
Information
Aeronautical Quarterly , Volume 17 , Issue 3 , August 1966 , pp. 269 - 284
Copyright
Copyright © Royal Aeronautical Society. 1966

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References

1. Phillips, W. H. Effect of steady rolling on longitudinal and directional stability. NACA TN 1627, June 1948.Google Scholar
2. Pinsker, W. J. G. Preliminary note on the effect of inertia cross-coupling on aircraft response in rolling manoeuvres. ARC Current Paper 435, 1959.Google Scholar
3. Pinsker, W. J. G. Critical flight conditions and loads resulting from inertia cross-coupling and aerodynamic stability deficiencies. AGARD Report 107, May 1957.Google Scholar
4. Thomas, H. H. B. M. and Price, P. A contribution to the theory of aircraft response in rolling manoeuvres including inertia cross-coupling effects. ARC R & M 3349, April 1960.Google Scholar
5. Arnold, R. N. and Maunder, L. Gyrodynamics and its engineering applications. Academic Press, London, 1961.Google Scholar
6. Gates, O. B. and Minka, K. Note on a criterion for severity of roll-induced instability. Journal of the Aerospace Sciences, Vol. 26, p. 287, May 1959.Google Scholar
7. Booth, A. D. Numerical methods. Butterworth, London, 1955.Google Scholar
8. Rhoads, D. W. and Schuler, J. M. A theoretical and experimental study of airplane dynamics in large-disturbance manoeuvres. Journal of the Aeronautical Sciences, Vol. 24, pp. 507–526 and 532, July 1957.Google Scholar
9. Brodetsky, S. The general motion of the aeroplane. Phil. Trans. Roy. Soc, A, Vol. 238, No. 792, pp. 305–355, January 1940.Google Scholar