Advances in aircraft and spacecraft science

  • 제4권4호
  • /
  • Pages.371-399
  • /
  • 2017
  • /
  • 2287-528X(pISSN)
  • /
  • 2287-5271(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

The feasible constant speed helical trajectories for propeller driven airplanes

  • Labonte, Gilles (Department of Mathematics and Computer Science, Royal Military College of Canada)
  • 투고 : 2016.11.01
  • 심사 : 2016.02.13
  • 발행 : 2017.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

The motion of propeller driven airplanes, flying at constant speed on ascending or descending helical trajectories is analyzed. The dynamical abilities of the airplane are shown to result in restrictions on the ranges of the geometrical parameters of the helical path. The physical quantities taken into account are the variation of air density with altitude, the airplane mass change due to fuel consumption, its load factor, its lift coefficient, and the thrust its engine can produce. Formulas are provided for determining all the airplane dynamical parameters on the trajectory. A procedure is proposed for the construction of tables from which the flyability of trajectories at a given angle of inclination and radius can be read, with the corresponding minimum and maximum speeds allowed, the final altitude reached and the amount of fuel burned. Sample calculations are shown for the Cessna 182, a Silver Fox like unmanned aerial vehicle, and the C-130 Hercules.

키워드

참고문헌

  1. Aeronautics Learning Laboratory for Science Technology and Research (ALLSTAR) of the Florida International University (2011), Propeller Aircraft Performance and The Bootstrap Approach.
  2. Airliners.net (2015), Santa Monica, California, U.S.A.
  3. Ambrosino, G., Ariola, M., Ciniglio, U., Corraro, F., De Lellis, E. and Pironti, A. (2009), "Path generation and tracking in 3-D for UAVs", IEEE Trans. Contr. Syst. Technol., 17(4), 980-988. https://doi.org/10.1109/TCST.2009.2014359
  4. Anderson, J.D. (2000), Introduction to Flight, 4th Edition, McGraw-Hill Series in Aeronautical and Aerospace Engineering, Toronto, Ontario, Canada.
  5. Babaei, A.R. and Mortazavi, M. (2010), "Three-dimensional curvature-constrained trajectory planning based on in-flight waypoints", J. Aircr., 47(4), 1391-1398. https://doi.org/10.2514/1.47711
  6. Beard, R.W. and McLain, T.W. (2015), Implementing Dubins Airplane Paths on Fixed-Wing UAVs, Handbook for Unmanned Aerial Vehicles, Springer Netherlands, Section XII, 1677-1701.
  7. Boukraa, D., Bestaoui, Y. and Azouz, N. (2006), "A new approach to trajectories planner design for a subsonic autonomous aerial fixed wing vehicle", Proceedings of the 2006 American Control Conference, Minneapolis, Minnesota, U.S.A., June.
  8. Cavcar, M. (2004), Propeller, Anadolu University, Eskisehir, Turkey.
  9. Chandler, P., Rasmussen, S. and Pachter, M. (2000), "UAV cooperative path planning", Proceedings of the AIAA Guidance, Navigation, and Control Conference, Denver, Colorado, U.S.A., August.
  10. Chitsaz, H. and LaValle, S.M. (2007), "Time-optimal paths for a dubins airplane", Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, Luisiana, U.S.A., December.
  11. Commercial Aviation Safety Team (CAST) (2011), Propeller Operation and Malfunctions Basic Familiarization for Flight Crews.
  12. Cowley, W.L. and Levy, H. (1920), Aeronautics Theory and Experiment, 2nd Edition, Edward Arnold, London, U.K.
  13. Crawford, D.J. and Bowles, R.L. (1975), Automatic Guidance and Control of a Transport Aircraft During a Helical Landing Approach, NASA technical note D-7980, NASA Langley Research Center, Hampton.
  14. Dai, R. and Cochran, J.E. (2009), "Three-dimensional trajectory optimization in constrained airspace", J. Aircr., 46(2), 627-634. https://doi.org/10.2514/1.39327
  15. Dubins, L.E. (1957), "On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents", Am. J. Math., 79(3), 497-516. https://doi.org/10.2307/2372560
  16. Etkin, B. (1972), Dynamics of Atmospheric Flight, John Wiley and Sons, Inc., New York, U.S.A.
  17. Filippone, A. (2000), "Data and performances of selected aircraft and rotorcraft", Prog. Aerosp. Sci., 36(8), 629-654. https://doi.org/10.1016/S0376-0421(00)00011-7
  18. Frazzoli, M., Dahleh, A. and Feron, E. (2005), "Maneuver-based motion planning for nonlinear systems with symmetries", IEEE Trans. Robot., 21(6), 1077-1091. https://doi.org/10.1109/TRO.2005.852260
  19. Granelli, F. (2007), Carl Goldberg Falcon 56, The Academy of Model Aeronautics' Sport Aviator, the EZine for the Newer RC Pilot.
  20. Hota, S. and Ghose, D. (2010), "Optimal geometrical path in 3D with curvature constraint", Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Taipei, Taiwan, October.
  21. Hwangbo, M., Kuffner, J. and Kanade, T. (2007), "Efficient two-phase 3D motion planning for small fixedwing UAVs", Proceedings of the IEEE International Conference on Robotics and Automation, Rome, Italy, April.
  22. Jia, D. and Vagners, J. (2004), "Parallel evolutionary algorithms for UAV path planning", Proceedings of the AIAA 1st Intelligent Systems Technical Conference, Chicago, Illinois, U.S.A., September.
  23. Kamm, R.W. (2002), "Mixed up about fuel mixtures", Aircraft Maintenance Technology.
  24. Labonte, G. (2012), "Formulas for the fuel of climbing propeller driven planes", Aircr. Eng. Aerosp. Technol., 84(1), 23-36. https://doi.org/10.1108/00022661211194951
  25. Labonte, G. (2015), "Simple formulas for the fuel of climbing propeller driven airplanes", Adv. Aircraft Spacecraft Sci., 2(4), 367-389. https://doi.org/10.12989/aas.2015.2.4.367
  26. Labonte, G. (2016), "Airplanes at constant speeds on inclined circular trajectories", Adv. Aircraft Spacecraft Sci., 3(4), 399-425. https://doi.org/10.12989/aas.2016.3.4.399
  27. Li, X., Xie, J., Cai, M., Xie, M. and Wang, Z. (2009), "Path planning for UAV based on improved A* algorithm", Proceedings of the 9th International Conference on Electronic Measurement & Instruments, Beijing, China, August.
  28. Lockheed Martin (2013), C-130J Super Hercules, Whatever the Situation, We'll be There.
  29. Mair, W.A. and Birdsall, D.L. (1992), Aircraft Performance, Cambridge Aerospace Series 5, Cambridge University Press, Cambridge, U.K.
  30. McIver, J. (2003), Cessna Skyhawk II/100, Performance Assessment, Temporal Images, Melbourne, Australia.
  31. Narayan, P.P., Wu, P.P. and Campbell, D.A. (2008), "Unmanning UAVs-addressing challenges in on-board planning and decision making", Proceedings of the 1st International Conference on Humans Operating Unmanned Systems, Brest, France, September.
  32. Phillips, W.F. (2004), Mechanics of Flight, John Wiley & Sons, Inc., Hoboken, New Jersey, U.S.A.
  33. Roud, O. and Bruckert, D. (2006), Cessna 182 Training Manual, Red Sky Ventures and Memel CATS, 2nd Edition 2011, Windhoek, Namibia.
  34. Sadraey, M.H. (2013), Aircraft Design: A Systems Engineering Approach, Aerospace Series, John Wiley & Sons Ltd, Toronto, Ontario, Canada.
  35. Stewart Air Force Base Reunion (2005), C-130 Hercules Specifications.
  36. Sussmann, H.J. (1995), "Shortest 3-dimensional paths with a prescribed curvature bound", Proceedings of the 34th IEEE Conference on Decision and Control, New Orleans, U.S.A., December.
  37. Tsiotras, P., Bakolas, E. and Zhao, Y. (2011), "Initial guess generation for aircraft landing trajectory optimization", Proceedings of the AIAA Guidance, Navigation, and Control Conference, Portland Oregon, U.S.A., August.
  38. UAVGLOBAL Unmanned Systems and Manufacturers (2016), BAE Systems Silver Fox.
  39. Von Mises, R. (1945), Theory of Flight, Dover Publications Inc., New York, U.S.A.

피인용 문헌

  1. Recent advances in unmanned aerial vehicles real-time trajectory planning vol.7, pp.4, 2017, https://doi.org/10.1139/juvs-2017-0004
  2. Point de référence pour la planification de trajectoires d’UAV à voilure fixe vol.9, pp.1, 2021, https://doi.org/10.1139/juvs-2019-0022