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Tytuł artykułu

Sound Radiation of a Pulsating Sphere in the Outlet of a Hard/Soft Semi-Spherical Cavity in a Flat Screen

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A rigorous analysis of sound radiation by a pulsating sphere forming a resonator together with a semispherical cavity is presented. Both hard and soft boundaries are considered, as well as mixed. The problem is solved by dividing the entire region into two subregions, one surrounding the sphere and containing the cavity and the other for the remaining half-space. The continuity conditions are applied to obtain the acoustic pressure. Then the acoustic radiation resistance is calculated both in the near- and far-field. The acoustic radiation reactance is calculated in the impedance approach. The resonance frequencies are determined, for which a significant growth of the sound pressure level is observed as well as the sound field directivity. The accuracy and convergence of these rigorous results has been examined empirically.
Rocznik
Strony
75--86
Opis fizyczny
Bibliogr. 37 poz., rys., tab., wykr.
Twórcy
autor
  • Department of Mechatronics and Control Science, Faculty of Mathematics and Natural Sciences, University of Rzeszów, Prof. St. Pigonia 1, 35-310 Rzeszów, Poland
Bibliografia
  • 1. Aarts R.M., Janssen A.J.E.M. (2010), Sound radiation from a resilient spherical cap on a rigid sphere, Journal of the Acoustical Society of America, 127, 4, 2262–2273, doi: 10.1121/1.3303978.
  • 2. Aarts R.M., Janssen A.J.E.M. (2011), Comparing sound radiation from a loudspeaker with that from a flexible spherical cap on a rigid sphere, AES: Journal of the Audio Engineering Society, 59, 4, 201–212.
  • 3. Abramowitz M., Stegun I.A. [Eds.] (1972), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, U.S. Department of Commerce, National Bureau of Standards.
  • 4. Anderson V.C. (1950), Sound scattering from a fluid sphere, Journal of the Acoustical Society of America, 22, 4, 426–431, doi: 10.1121/1.1906621.
  • 5. Azarpeyvand M. (2005), Active noise cancellation of a spherical multipole source using a radially vibrating spherical baffled piston, Acoustical Physics, 51, 6, 609–618, doi: 10.1134/1.2130891.
  • 6. Azarpeyvand M. (2014), Prediction of negative radiation forces due to a bessel beam, Journal of the Acoustical Society of America, 136, 2, 547–555, doi: 10.1121/1.4884758.
  • 7. Azarpeyvand M., Azarpeyvand M. (2014), Application of acoustic bessel beams for handling of hollow porous spheres, Ultrasound in Medicine and Biology, 40, 2, 422–433, doi: 10.1016/j.ultrasmedbio.2013.07.008.
  • 8. Barmatz M., Collas P. (1985), Acoustic radiation potential on a sphere in plane, cylindrical, and spherical standing wave fields, Journal of the Acoustical Society of America, 77, 3, 928–945, doi: 10.1121/1.392061.
  • 9. Brański A., Leniowska L. (1992), Far field of a concentric ring vibrating with constant velocity on a rigid sphere flow over side branch deep cavity in a rectangular duct, Archives of Acoustics, 17, 2, 277–286, http://acoustics.ippt.pan.pl/index.php/aa/article/ view/1188.
  • 10. Faran J.J. (1951), Sound scattering by solid cylinders and spheres, The Journal of the Acoustical Society of America, 23, 4, 405–418, doi: 10.1121/1.1906780.
  • 11. Ferris H.G. (1952), The free vibrations of a gas contained within a spherical vessel, The Journal of the Acoustical Society of America, 24, 1, 57–60, doi: 10.1121/1.1906848.
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  • 13. Foldy Leslie L. (1949), Theory of passive linear electroacoustic transducers with fixed velocity distribution, The Journal of the Acoustical Society of America, 21, 6, 595–604, doi: 10.1121/1.1906556.
  • 14. Gaunaurd G.C., Huang H. (1996), Sound scattering by a spherical object near a hard flat bottom, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 43, 4, 690–700, doi: 10.1109/58.503731.
  • 15. Gradshteyn I.S., Ryzhik I.M. (2007), Table of Integrals, Series, and Products, Academic Press, New York, 7 edition.
  • 16. Hasheminejad S.M. (2003), Modal acoustic impedance force on a spherical source near a rigid interface, Acta Mechanica Sinica, 19, 1, 33–39, doi: 10.1007/BF02487450.
  • 17. Hasheminejad S.M., Azarpeyvand M. (2003a), Eccentricity effects on acoustic radiation from a spherical source suspended within a thermoviscous fluid sphere, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 50, 11, 1444–1454, doi: 10.1109/TUFFC.2003.1251128.
  • 18. Hasheminejad S.M., Azarpeyvand M. (2003b), Non-axisymmetric acoustic radiation from a transversely oscillating rigid sphere above a rigid/compliant planar boundary, Acta Acustica united with Acustica, 89, 6, 998–1007.
  • 19. Hasheminejad S.M., Azarpeyvand M. (2004a), Acoustic radiation from a pulsating spherical cap set on a spherical baffle near a hard/soft flat surface, IEEE Journal of Oceanic Engineering, 29, 1, 110–117, doi: 10.1109/JOE.2003.822978.
  • 20. Hasheminejad S.M., Azarpeyvand M. (2004b), Sound radiation due to modal vibrations of a spherical source in an acoustic quarterspace, Shock and Vibration, 11, 5–6, 625–635.
  • 21. Jeong W.T., Kang Y.J., Kim S.H. (2012), Acoustic transmission analysis on cavity resonance sound in a cylindrical cavity system: Application to a korean bell, Journal of the Acoustical Society of America, 131, 2, 1547–1557, doi: 10.1121/1.3675552.
  • 22. Jones D.S. (1986), Acoustic and Electromagnetic Waves, Clarendon Press, Oxford.
  • 23. Kim K., Lauchle G.C., Gabrielson T.B. (2008), Near-field acoustic intensity measurements using an accelerometer-based underwater intensity vector sensor, Journal of Sound and Vibration, 309, 1–2, 293–306, doi: 10.1016/j.jsv.2007.07.024.
  • 24. Kolber K., Snakowska A., Kozupa M. (2014), The effect of plate discretization on accuracy of the sound radiation efficiency measurements, Archives of Acoustics, 39, 4, 511–518, doi: 10.2478/aoa-2014-0055.
  • 25. Levine H. (2001), Acoustical cavity excitation, Journal of the Acoustical Society of America, 109, 6, 2555–2565, doi: 10.1121/1.1367246.
  • 26. Levine H., Leppington F.G. (1991), The acoustic power from moving and pulsating spheres, Journal of Sound and Vibration, 146, 2, 199–210, doi: 10.1016/0022-460X(91)90759-D.
  • 27. Morse P.M. (1948), Vibration and Sound, McGraw-Hill, New York, 2 edition.
  • 28. Pelat A., Félix S., Pagneux V. (2009), On the use of leaky modes in open waveguides for the sound propagation modeling in street canyons, Journal of the Acoustical Society of America, 126, 6, 2864–2872, doi: 10.1121/1.3259845.
  • 29. Rudgers A.J. (1974), A correlation technique for determining the self- and mutual-radiation impedances of transducers in an array, The Journal of the Acoustical Society of America, 55, 4, 759–765, doi: 10.1121/1.1914596.
  • 30. Russell D.A. (2010), Basketballs as spherical acoustic cavities, American Journal of Physics, 78, 6, 549–554, doi: 10.1119/1.3290176.
  • 31. Skudrzyk E. (1971), The Foundations of Acoustics, Basic Mathematics & Basic Acoustics, Springer-Verlag, Wien, New York.
  • 32. Sommerfeld A. (1964), Partial Differential Equations in Physics, volume 6 of Lectures on Theoretical Physics, Academic Press, New York.
  • 33. Szemela K. (2015), Sound radiation inside an acoustic canyon with a surface sound source located at the bottom, Journal of Computational Acoustics, 23, 3, 1550014 (22 pages), doi: 10.1142/S0218396X15500149.
  • 34. Tang Y.-Z., Wu Z.-J., Tang L.-G. (2010), Analysis and improvement of sound radiation performance of spherical cap radiator, Chinese Physics B, 19, 5, 0543031–0543039, doi: 10.1088/1674-1056/19/5/054303.
  • 35. Thompson Jr. W. (1973), Acoustic radiation from a spherical source embedded eccentrically within a fluid sphere, Journal of the Acoustical Society of America, 54, 6, 1694–1707, doi: 10.1121/1.1914469.
  • 36. Thompson Jr. W. (1976), Radiation from a spherical acoustic source near a scattering sphere, Journal of the Acoustical Society of America, 60, 4, 781–787, doi: 10.1121/1.381158.
  • 37. Van Haver S., Janssen A.J.E.M. (2014), Truncation of the series expressions in the advanced ENZ-theory of diffraction integrals, Journal of The European Optical Society-Rapid Publications, 9, 14042 (13 pages), doi: 10.2971/jeos.2014.14042.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0eb1cab9-6b71-473f-8512-cfe49c55c7f1
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