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Radiation of Sound During the Takeoff of an Aircraft

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We consider the problem of radiation of sound during the takeoff of an aircraft in the stage of its elevation over the runway with regard for the action of the wind. The role of the sources of noise are played by the engines of the aircraft modeled by point sources moving in air with a constant velocity at an angle to the plane interface of acoustic and elastic half spaces. The solution of the problem is obtained by using the Fourier integral transformations with respect to time and space variables with regard for the properties of generalized functions and the method of stationary phase. We perform the numerical analyses of the space-and-time distributions of the pressure of sound and the energy characteristics of the acoustic field on the example of modeling of the process of takeoff of the six-engine An-225 “Mriya” aircraft.

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References

  1. K. A. Velizhanina and S. N. Rzhevkin, “On the analysis of the noise of moving aircrafts,” Zh. Tekh. Fiz., 17, No. 12, 1483–1490 (1947).

    Google Scholar 

  2. W. Kecs and P. P. Teodorescu, Introducere in Teoria Distributiilor cu Applicatii in Tehnica, Editura Tehnică, Bucureşti (1975).

    Google Scholar 

  3. B. N. Mel’nikov, “On the influence of the flight speed of a TU-124 aircraft on the noise generated by its engines,” Akust. Zh., 10, No. 3, 327–329 (1964).

    Google Scholar 

  4. O. P. Piddubnyak and N. H. Piddubnyak, “Emission of sound by an aircraft during its takeoff run along the runway,” Mat. Metody Fiz.-Mekh. Polya, 56, No. 1, 115–126 (2013); English translation: J. Math Sci., 201, No. 2, 136–151 (2014).

  5. V. Mestre (consultant), Airport Cooperative Research Program (ACRP) Synthesis 9: Effects of Aircraft Noise. Research Update on Selected Topics. A Synthesis of Airport Practice, Transportation Res. Board, Washington (2008).

  6. N. E. Antoine, Aircraft Optimization for Minimal Environmental Impact, PhD Thesis, Stanford Univ. (2004).

  7. K. S. Brentner and F. Farassat, “Modeling aerodynamically generated sound of helicopter rotors,” Progr. Aerospace Sci., 39, No. 2-3, 83–120 (2003).

    Article  Google Scholar 

  8. D. Crichton, E. de la Rosa Blanco, T. R. Law, and J. I. Hileman, “Design and operation for ultra low noise takeoff,” in: 45th AIAA Aerospace Sciences Meeting and Exhibit (Jan. 8–11, 2007, Reno, Nevada) [AIAA-2007-456], Amer. Inst. Aeronautics & Astronautics, Cambridge (2007), pp. 1–18

  9. Ch. Eriksson, G. Bluhm, A. Hilding, et al., “Aircraft noise and incidence of hypertension—Gender specific effects,” Environ. Res., 110, No. 8, 764–772 (2010).

    Article  Google Scholar 

  10. F. Farassat and J. H. Casper, “Toward an airframe noise prediction methodology: Survey of current approaches,” in: 44th AIAA Aerospace Sciences Meeting and Exhibit (Jan. 9–12, 2006, Reno, Nevada) [AIAA-2006-0210] (2007), pp. 1–12.

  11. H. Gordijn and W. Hornis, “Noise around airports,” in: GARS-Workshop on Aviation and the Environment (Nov. 28–29, 2007, Cologne) (2007), pp. 1–14.

  12. B. Griefahn, A. Marks, and S. Robens, “Noise emitted from road, rail and air traffic and their effects on sleep,” J. Sound Vibrat., 295, No. 1-2, 129–140 (2006).

    Article  Google Scholar 

  13. M. K. Hameed, A. S. Hydri, and R. Khizar, “Effects of jet engine noise on hearing thresholds,” Pak. J. Otolaryngol., 26, 3–6 (2010).

    Google Scholar 

  14. S. Khardi, “An experimental analysis of frequency emission and noise diagnosis of commercial aircraft on approach,” J. Acoustic Emission, 26, 290–310 (2008).

    Google Scholar 

  15. J. W. Leverton, “Twenty-five years of rotorcraft aeroacoustics: Historical prospeсtive and important issue,” J. Sound Vibrat., 133, No. 2, 261–287 (1989).

    Article  Google Scholar 

  16. A. Manandhar, Sh. Zhang, and X.-Q. Yu, “Tradeoff of airframe noise and field length in conceptual design of airliner,” Appl. Mech. Mater., 295–298, 2026–2029 (2013).

    Article  Google Scholar 

  17. H. B. Mathes and E. W. Price, “Methods for determining characteristics of acoustic waves in rocked motors,” J. Spacecraft Rockets, 12, No. 1, 39–43 (1975).

    Article  Google Scholar 

  18. E. A. Meister, Aircraft Noise Stress and the Effects on Human Health: A Cross-Sectional Study in Metropolitan Minnesota, PhD Thesis, Oregon State Univ. (1996).

  19. F. Nejjari, X. Prats, V. Puig, et al., “Containing aircraft noise levels at takeoff: A mathematical programming approach,” in: Proc. 34th Internat. Congr. Noise Control Engineering 2005 (INTERNOISE 2005), Aug. 7–10, 2005, Rio de Janeiro, Brazil, pp. 1–10.

  20. L. Norgia, “A graphical optimization of takeoff noise abatement procedures for subsonic aircraft,” J. Sound Vibrat., 222, No. 3, 489–501 (1999).

    Article  Google Scholar 

  21. J. B. Ollerhead, DORA Report 9120, The CAA Aircraft Noise Contour Model: ANCON Version 1, Civil Aviation Authority/Department of Transport, Cheltenham (1992).

    Google Scholar 

  22. A. Peters, Assessment of Propfan Propulsion Systems for Reduced Environmental Impact, MS Thesis, Massachusetts Inst. Technol. (2010).

  23. M. Pianko, “Étude de bruit des avions au decollage,” Aéronautique et l’astronautique, 2, No. 18, 4–14 (1970).

    Google Scholar 

  24. M. Pianko, Study of Aircraft Noise During Takeoff, NASA Technical translation TT F-14468, Washington (1972).

  25. J. B. H. M. Schulten, “Frequency-domain method for the computation of propeller acoustics,” AIAA J., 26, No. 9, 1027–1035 (1988).

    Article  Google Scholar 

  26. B. H. Sharp, Y. A. Gurovich, and W. W. Albee, Status of Low-Frequency Aircraft Noise Research and Mitigation, Wyle Report WR 01-21, Acoustics Group, Arlington (2001).

  27. L. C. Sutherland and D. Brown, Prediction Methods for Near-Field Noise Environments of VTOL Aircraft, Wright-Patterson AFB (1972).

  28. A. W. Vogeley, “Sound-level measurements of a light airplane modified to reduce noise reaching the ground,” in: NACA Technical Report 926, Langley Field (1948), pp. 115–120.

  29. O. I. Zaporozhets and V. I. Tokarev, “Acoustics at the Kyiv international university of civil aviation,” Appl. Acoust., 55, No. 2, 89–98 (1998).

    Article  Google Scholar 

  30. O. Zaporozhets, V. Tokarev, and K. Attenborough, “Predicting noise from aircraft operated on the ground,” Appl. Acoust., 64, No. 10, 941–953 (2003).

    Article  Google Scholar 

  31. X. Zhang, “Aircraft noise and its near-field propagation computations,” Acta Mech. Sinica, 28, No. 4, 960–977 (2012).

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Lodzka Politekhnika, Lodz, Poland

    O. P. Piddubniak

  2. “L’vivs’ka Politekhnika” National University, Lviv, Ukraine

    N. H. Piddubniak

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  1. O. P. Piddubniak
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  2. N. H. Piddubniak
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 58, No. 3, pp. 71–82, July–September, 2015.

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Piddubniak, O.P., Piddubniak, N.H. Radiation of Sound During the Takeoff of an Aircraft. J Math Sci 226, 89–103 (2017). https://doi.org/10.1007/s10958-017-3521-2

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  • DOI: https://doi.org/10.1007/s10958-017-3521-2

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