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The Stability of the Short-Period Motion of an Airframe Having Non-Linear Normal Force and Pitching Moment Curves

Published online by Cambridge University Press:  07 June 2016

P. A. T. Christopher
P. A. T. Christopher*
Affiliation:
Department of Aerodynamics, The College of Aeronautics, Cranfield
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Summary

The analysis of the stability of second-order non-linear systems by Poincare's method of singular points in the phase plane is briefly presented and used to determine stability criteria for the short-period motion of an airframe having non-linear normal force and pitching moment curves. These results are then compared with those obtained by the application of quasilinear stability theory.

Type
Research Article
Information
Aeronautical Quarterly , Volume 11 , Issue 3 , August 1960 , pp. 255 - 268
Copyright
Copyright © Royal Aeronautical Society. 1960

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References

1. Duncan, W. J. The Principles of the Control and Stability of Aircraft. Chapter III. Cambridge University Press, 1952.Google Scholar
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3. Stoker, J. J. Nonlinear Vibrations in Mechanical and Electrical Systems. Chapters 2 and 3. Interscience Publishers, New York, 1950.Google Scholar
4. Bieberbach, L. Theorie Der Differentialgleichungen. Chapter 4, pp. 74–78. Dover Publications, New York, 1944.Google Scholar
5. Spearman, F. R. J. The Derivation and Use of Aerodynamic Transfer Functions of Airframes. Journal of the Royal Aeronautical Society, November 1955.CrossRefGoogle Scholar