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It is convenient to have a device and a method of generating single cut-on modes in cylindrical hard-walled waveguides or at least in laboratory models of such systems. This allows to examine, among other things, properties of various active and/or passive elements inserted in a cylindrical duct by testing them in conditions when the incident (input) wave comprises only one cut-on mode and determining the reflection and transmission coefficients for single selected incident modes. As it has been already demonstrated by the present authors, it is possible to generate single cut-on modes in a circular duct using a small (although increasing with mode order) number of acoustic monopoles arranged properly on a duct cross-section and driven with appropriate acoustic volume amplitudes and phases. Laboratory models of such sources are proposed in this paper and results of tests verifying their directional properties are presented. The other technical issue relating to practical utilization of the proposed method is the possible error introduced by the apparatus used for scanning the acoustic field inside the duct model. It is shown that insertion of the measuring probe changes the total energy radiated into the free space only by a fraction of a decibel.
Wydawca
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Rocznik
Tom
Strony
247--255
Opis fizyczny
Bibliogr. 24 poz., rys., wykr.
Twórcy
autor
- Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Krakow, Poland
autor
- Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Krakow, Poland
autor
- Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Krakow, Poland
autor
- Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Krakow, Poland
Bibliografia
- 1. Abom M. (1989), Modal decomposition in ducts based on transfer function measurements between microphone pairs, J. Sound Vib. 135, 1, 95–114.
- 2. Akoum M., Ville J-M. (1998), Measurement of the reflection matrix of a discontinuity in a duct, J. Acoust. Soc. Am., 103, 5, 2463–2468
- 3. Bravo T., Maury C. (2008), Inverse source strength reconstruction techniques for ducted acoustic sources, Proceedings of 15th International Congress on Sound and Vibration, Korea, 696–703.
- 4. Bravo T., Maury C. (2010), Enhancing the Reconstruction of in-Duct Sound Sources Using a Spectral Decomposition Method, J. Acoust. Soc. Am., 127, 6, 3538–3547.
- 5. Dang J., Shadle C. H., Kawanishi Y., Honda K., Suzuki H. (1998), An experimental study of the open end correction coefficient for side branches within an acoustic tube, J. Acoust. Soc. Am., 104, 2, 1075–1084.
- 6. Gorazd Ł., Jurkiewicz J., Snakowska A., Flach A. (2014a), A Study on Modal Structure of the Acoustic Field in Hard-walled Cylindrical Duct, Proceedings of 7-th Forum Acusticum, Krakow.
- 7. Gorazd Ł., Kolber K., Raab S. (2014b), Modal structure of a cylindrical duct acoustic field – theoretical predictions and experimental verification, Proceedings of 7-th Forum Acusticum, Krakow.
- 8. Jeong W., Joseph P., Lee S. (2006), A wall-mounted source array for the excitation of incoherent broadband sound fields with prescribed modal distributions in ducts, Journal of Sound and Vibration, 290, 1–2, 490–499.
- 9. Joseph P., Morfey C.L. (1999), Multimode radiation from an unflanged, semi-infinite circular duct, J. Acoust. Soc. Am, 105, 5, 2590–2600.
- 10. Joseph P., Morfey C.L., Lowis C.R. (2002), Multi-mode sound transmission in ducts with flow, Journal of Sound and Vibration, 264, 3, 523–544.
- 11. Kim Y., Nelson P.A. (2004), Optimal regularization for acoustic source reconstruction by inverse methods, Journal of Sound and Vibration, 275, 3–5, 463–487.
- 12. Lavrientjev J., Abom M., Bodem H. (1995), A measurement method for determining the source data of acoustic two-port sources, J. Sound Vib., 183, 3, 517–531
- 13. Levine H., Schwinger J. (1948), On the Radiation of Sound from Unflanged Circular Pipe, Phys. Rev., 73, 4, 383–406.
- 14. Lowis C.R., Joseph P.F. (2006), Determining the strength of rotating broadband sources in ducts by inverse methods, Journal of Sound and Vibration, 295, 3–5, 614–632.
- 15. Peters M., Hirschberg A., Reijnen A., Wijnands A. (1993), Damping and reflection coefficient measurements for an open pipe at low Mach and low Helmholtz numbers, J. Fluid Mech., 256, 499–534.
- 16. Rienstra S.W., Hirschberg A. (2007), An Introduction to Aeroacoustics, Large-Eddy simulation for acoustics, Cambridge University Press.
- 17. Rienstra S.W., Tester B.J. (2005), An Analytic Green’s Function for a Lined Circular Duct Containing Uniform Mean Flow (corr.), American Institute of Aeronautics and Astronautics, Proceedings of 11th AIAA/CEAS Aeroacoustics Conference, Monterey, USA.
- 18. Sinayoko S., Joseph P., Mc Alpine A. (2010), Multimode radiation from an unflanged, semi-infinite circular duct with uniform flow, J. Acoust. Soc. Am. 127, 4, 2159–2168.
- 19. Sitel A., Ville J-M. (2006), Multiload procedure to measure the acoustic scattering matrix of a duct discontinuity for higher order mode propagation conditions, J. Acoust. Soc. Am. 120, 5, 2478–2490.
- 20. Snakowska A. (1993), On the principle of equipartition of energy in the sound field inside and outside a circular duct, Acustica 79, 2, 155–160.
- 21. Snakowska A., Idczak H. (1995), The acoustic power radiated form the outlet of a hard-walled circular duct — theory and measurement, Acta Acustica, 3, 2, 119–128.
- 22. Snakowska A., Jurkiewicz J., Smolik D. (2011), Open end correction for arbitrary mode propagating in a cylindrical acoustic waveguide, Acta Physica Polonica, A 120, 4, 736–739.
- 23. Snakowska A., Jurkiewicz J., Snakowski J.K. (2014), An Attempt to Generate Single Allowable Modes in a Cylindrical Duct by Means of a Matrix of Point Sources, Proceedings of 7-th Forum Acusticum, Krakow.
- 24. Watson G.N. (1992), A treatise on the theory of Bessel functions, Cambridge Mathematical Library.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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