MODELING OF AN AIRPLANE WING MOMENTS INDUCED BY ATMOSPHERIC TURBULENCE

Authors

  • Anna Antonova National Aviation University, Kyiv, Ukraine
  • Mykola Kulyk National Aviation University, Kyiv, Ukraine
  • Ivan Lastivka National Aviation University, Kyiv, Ukraine

DOI:

https://doi.org/10.18372/2306-1472.59.6790

Keywords:

power spectral density, turbulence models, von Karman model

Abstract

We have used Diederich’s theory of wingspan average correlation functions to obtain analytical expressions for the local spectral density of aircraft wing moments induced by horizontal and vertical wind gusts. We have assumed that the correlation functions of atmospheric turbulence belong to the Bullen family which includes both partial cases of known Dryden’s model as well as von Karman’s  model.

Author Biographies

Anna Antonova, National Aviation University, Kyiv, Ukraine

Antonova Anna (1948). Candidate of Engineering. Associate Professor.

Department of High Mathematics,  National Aviation University, Kyiv, Ukraine.

Education: Moscow Physical -Technical Institute  with a Degree in Flight Dynamics and Control,  Moscow, Russia (1971).

Research area: flight dynamics, economic dynamics.

Mykola Kulyk, National Aviation University, Kyiv, Ukraine

Kulyk Mykola (1952). Doctor of Engineering. Professor.

Holder of a State Award in Science and Engineering of Ukraine (2003).

Winner of a State Prize of Ukraine in Science and Engineering (2005).

Rector of the National Aviation University, Kyiv, Ukraine.

Head of the Department of Aircraft Engines, National  Aviation University, Kyiv, Ukraine.

Education: Kyiv Institute of Civil Aviation, Kyiv, Ukraine (1978).

Research area: definition of the technical state of aircraft engines.

Ivan Lastivka, National Aviation University, Kyiv, Ukraine

Lastivka Ivan (1956). Doctor of Engineering. Associate Professor.

Head of the Department of High Mathematics, National Aviation University, Kyiv, Ukraine.

Education: Kyiv State Taras Shevchenko University, Kyiv, Ukraine (1982).

Research area: mathematical  modeling  of  dynamic processes.

References

Diederich, F.W. The Dynamic Response of a Large Airplane to Continuous Random Atmo-spheric Disturbances. Journal of the Aeronautical Sciences. 1956. Vol. 23, N 10.P. 917–930.

Diederich, F. W.; Drischler, J.A. Effect of Spanwise Variations in Gust Intensity on the Lift due to Atmospheric Turbulence. National Advisory Committee for Aeronautics. Technical Note 3920. 1957. 57 p.

Eggleston, J.M.; Diederich, F.W. Theoretical Calculation of the Power Spectra of the Rolling and Yawing Moments on a Wing in Random Turbulence. National Advisory Committee for Aeronautics. Report N1321. 1957. 20 p.

Erdélyi, A.et al. Tables of Integral Transforms. Vol. 1. McGraw-Hill Book Company. Inc., MR 15. 1954. 868 p.

Etkin, B. Turbulent Wind and its Effect on Flight. Journal of Aircraft. 1981. Vol. 18, N 5.
P. 327–345.

Filotas, L.T. Approximate Transfer Functions for Large Aspect Ratio Wings in Turbulent Flow. Journal of Aircraft. 1971. Vol. 8, N 5. P. 395–400.

Houbolt, J.C. Atmospheric Turbulence. AIAA Journal. 1973. Vol. 11, N 4. P. 421–437.

Schanzer, G.; Xiao, Y. Lift and Rolling Moment of a Finite Wing due to Sinusoidal and Stochastical Turbulence. Aerospace Science and Technology. 1997. Vol.1, N5. P. 341–354.

Taylor, J. Manual on Aircraft Loads. Published for and on behalf of Advisory Group for Aeronautical Research and Development, North Atlantic Treaty Organization by Pergamon Press in Oxford. New York. 1965. 350 p.

Published

2014-07-04

How to Cite

Antonova, A., Kulyk, M., & Lastivka, I. (2014). MODELING OF AN AIRPLANE WING MOMENTS INDUCED BY ATMOSPHERIC TURBULENCE. Proceedings of the National Aviation University, 59(2), 68–72. https://doi.org/10.18372/2306-1472.59.6790

Issue

Section

MODERN AVIATION AND SPACE TEHNOLOGY