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On the motion stability of an airplane on a runway under wind loading

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Abstract

A nonlinear mathematical model is constructed for an airplane in high-speed plane-parallel motion along a runway when the airplane's weight exceeds slightly the lift of its wings in the presence of a cross wind. The airplane is considered a two-weight mechanical object. A system of second-order equations is obtained that describes the airplane's behavior. A system of three phase variables is suggested in which the dynamics of transverse motion is described by a set of three second-order equations. A stationary solution of this system is obtained. A stability criterion for the plane-parallel motion of the airplane is established using the Routh-Hurwitz criterion. Analysis of the data of other authors indicates that the mathematical model is adequate for some objects of aviation technology.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    N. P. Plakhtienko

  2. Flight Academy of Ukraine, Kirovograd

    B. M. Shifrin

Authors
  1. N. P. Plakhtienko
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  2. B. M. Shifrin
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Additional information

Translated from Prikladnaya Mekhanika, Vol. 35, No. 10, pp. 101–107, October, 1999.

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Plakhtienko, N.P., Shifrin, B.M. On the motion stability of an airplane on a runway under wind loading. Int Appl Mech 35, 1068–1075 (1999). https://doi.org/10.1007/BF02682320

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  • DOI: https://doi.org/10.1007/BF02682320

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