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This paper presents method of flight dynamics modelling for aircraft encountering trailing vortices generated by other airplane. The mathematical model of 6-DOF spatial motion was applied. Aerodynamic forces produced by a wing were calculated using strip theory method – the wing was divided into a series of chordwise strips and contribution of each strip in these forces was determined. Local angle of attack for each strip was determined taking into account an influence of trailing vortices. Exemplary results of simulations for the case of two straight vortices encountered by aircraft are shown. Incremental contributions to aerodynamic forces and moments of all strips are summed. Model and description of trailing vortices, induced velocity inside the vortex, induced velocity outside the vortex, model of motion dynamics, equations of motion, airplane forces, moments acting on the airplane, aerodynamic forces and moments, trailing vortex effect on the airplane are presented in the paper. In particular, pair of straight trailing vortices, induced velocity for Rankine vortex, strip model of the wing, angle of attack for the strip, airplane pitch angle, bank angle, altitude, trajectory are illustrated.
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Tom
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41--50
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Bibliogr. 13 poz., rys.
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autor
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- Air Force Institute of Technology Księcia Bolesława Street 6, 01-494 Warsaw, Poland tel./fax: +48 22 685 10 13, boguslaw.czechowicz@itwl.pl
Bibliografia
- [1] Babie, B. M., Nelson, R. C., An Experimental Study of Wake Vortex Instabilities, Proceedings of 46th AIAA Aerospace Sciences Meeting and Exhibit, Reno 2008.
- [2] Cotet, G. -H., Poncet P., Simulation and Control of Three-Dimensional Wakes, Computer and Fluids, Vol. 33, No. 5, pp. 697-713(17), 2004.
- [3] Crow, S., Bate, E., Lifespan of Trailing Vortices in a Turbulent Atmosphere, Journal of Aircraft, Vol. 13, No. 7, 1976.
- [4] Etkin, B., Dynamics of Atmospheric Flight, Johson Willey & Sons Inc., New York 1972.
- [5] Finck, R., USAF Stability and Control DATCOM, Air Force Flight Dynamics Laboratory, Rep. No. AFWAL-TR-83-3048, 1978.
- [6] Gertz, T., Holzapfel, F., Darracq, D., Commercial Aircraft Vake Vortices, Progress in Aerospace Science 38, pp. 181-208, 2002.
- [7] Goraj, Z., Dynamika i aerodynamika samolotów manewrowych z elementami obliczeń, Biblioteka Naukowa Instytutu Lotnictwa, Warszawa 2001.
- [8] Jacquin, L., Fabre, D., Sipp, D., Theofilif, V., Vollmers, H., Instability and Unsteadiness of Aircraft Wake Vortices, Aerospace Science and Technology, No. 7, pp. 577-593, 2003.
- [9] Kowaleczko, G., Zagadnienie odwrotne w dynamice lotu statków powietrznych, Wydawnictwo Wojskowej Akademii Technicznej, Warszawa 2003.
- [10] Nelson, R. C., Trailing Vortex Wake Encounters at Altitude – A Potential Flight Safety, AIAA Paper 2006-6268.
- [11] Nelson, R. C., Babie, B. M., An Experimental Study of the Stability of a Four-Vortex System, AIAA Paper 2005-4852.
- [12] Nelson, R. C., The Trailing Vortex Wake Hazard: Beyond the Takeoff and Landing Coridors, AIAA Paper 2004-5171.
- [13] Reimer, H., Vicroy, D. D., A Preliminary Study of a Wake Vortex Encounter Hazard Boundary for a B737-100 Airplane, NASA TM 110223, 1996.
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Bibliografia
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bwmeta1.element.baztech-article-BUJ8-0018-0006