Noise Elimination of a Multi-tone Broadband Noise with Hybrid Helmholtz Mufflers Using a Simulated Annealing Method

• Autorzy: Chiu M-C.
• Języki publikacji: EN

Abstrakty

EN

Noise control is essential in an enclosed machine room where the noise level has to comply with the occupational safety and health act. In order to overcome a pure tone noise with a high peak value that is harmful to human hearing, a traditional reactive muffler has been used. However, the traditional method for designing a reactive muffler has proven to be time-consuming and insufficient. In order to efficiently reduce the peak noise level, interest in shape optimization of a Helmholtz muffler is coming to the forefront. Helmholtz mufflers that deal with a pure tone have been adequately researched. However, the shape optimization of multi-chamber Helmholtz mufflers that deal with a broadband noise hybridized with multiple tones within a constrained space has been mostly ignored. Therefore, this study analyzes the sound transmission loss (STL) and the best optimized design for a hybrid Helmholtz muffler under a space- constrained situation. On the basis of the plane wave theory, the four-pole system matrix used to evaluate the acoustic performance of a multi-tone hybrid Helmholtz muffler is presented. Two numerical cases for eliminating one/two tone noises emitted from a machine room using six kinds of mufflers (muffler AF) is also introduced. To find the best acoustical performance of a space-constrained muffler, a numerical assessment using a simulated annealing (SA) method is adopted. Before the SA operation can be carried out, the accuracy of the mathematical model has been checked using the experimental data. Eliminating a broadband noise hybridized with a pure tone (130 Hz) in Case I reveals that muffler C composed of a one- chamber Helmholtz Resonator and a one-chamber dissipative element has a noise reduction of 54.9 (dB). Moreover, as indicated in Case II, muffler F, a two-chamber Helmholtz Resonator and a one-chamber dissipative element, has a noise reduction of 69.7 (dB). Obviously, the peak values of the pure tones in Case I and Case II are efficiently reduced after the muffler is added. Consequently, a successful approach in eliminating a broadband noise hybridized with multiple tones using optimally shaped hybrid Helmholtz mufflers and a simulated annealing method within a constrained space is demonstrated.

Słowa kluczowe

EN

multiple tones; hybrid; Helmholtz; four-pole transfer matrix method; SA method

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2012
• Tom: Vol. 37, No. 4
• Strony: 489--498
• Opis fizyczny: Bibliogr. 34 poz., tab., wykr.

Twórcy

autor

Chiu M-C.

• Department of Mechanical and Automation Engineering, Chung Chou University of Science and Technology No. 6, Lane 2, Sec.3, Shanchiao Rd., Yuanlin, Changhua 51003, Taiwan, R.O.C.,

Bibliografia

• 1. Alley B.C., Dufresne R.M., Kanji N., Reesal M.R. (1989), Costs of workers' compensation claims for hearing loss, Journal of Occupational Medicine, 31, 134-138.
• 2. Alster M. (1972), Improved calculation of resonant frequencies of Helmholtz resonators, J. Sound Vib., 24, 63-85.
• 3. Chanaud R.C. (1994), Effects of geometry on the resonance frequency of Helmholtz resonators, J. Sound Vib., 178, 337-348.
• 4. Chanaud R.C. (1997), Effects of geometry on the resonance frequency of Helmholtz resonators, Part II., J. Sound Vib., 204, 5, 829-834.
• 5. Cheremisinoff P.N., Cheremisinoff P.P. (1977), Industrial noise control handbook, Ann Arbor Science, Michigan.
• 6. Chiu M.C. (2008), Shape optimization of doublechamber side mufflers with extended tube by using fourpole matrix and simulated annealing method, J. of Mechanics, 24, 31-43.
• 7. Chiu M.C., Chang Y.C. (2008), Numerical studies on venting system with multi-chamber perforated mufflers by GA optimization, Applied Acoustics, 69, 11, 1017-1037.
• 8. Chiu M.C., Chang Y.C. (2008), Shape optimization of multi-chamber cross-flow mufflers by SA optimization, J. Sound Vib., 312, 526-550.
• 9. Chiu M.C. (2009), SA optimization on multi-chamber mufflers hybridized with perforated plug-inlet under space constraints, Archives of Acoustics, 34, 3, 305-343.
• 10. Chiu M.C. (2010a), Numerical assessment of reverseflow mufflers using a simulated annealing method, The Canadian Society for Mechanical Engineering (CSME) Transactions, 34, 1, 17-35.
• 11. Chiu M.C. (2010b), Optimal design of multi-chamber mufflers hybridized with perforated intruding inlets and resonated tube using simulated annealing, ASME J. of Vibration and Acoustics, 132, 1-10.
• 12. Chiu M.C. (2010c), Shape optimization of multichamber mufflers with plug-inlet tube on a venting process by genetic algorithms, Applied Acoustics, 71, 495-505.
• 13. Chiu M.C. (2011a), Numerical assessment of hybrid mufflers on a venting system within a limited back pressure and space using simulated annealing, J. of Low Frequency Noise, Vibration and Active Control, 30, 4, 247-275.
• 14. Chiu M.C. (2011b), Optimization design of hybrid mufflers on broadband frequencies using the genetic algorithm, Archives of Acoustics, 36, 4, 795-822.
• 15. Chiu M.C. (2012), Genetic algorithm optimization on a venting system with three-chamber hybrid mufflers within a constrained back pressure and space, ASME J. of Vibration and Acoustics, 134, 021005, 1-11.
• 16. Cummings A. (1992), The effects of a resonator array on the sound field in a cavity, J. Sound Vib., 154, 1, 25-44.
• 17. Dickey N.S., Selamet A. (1996), Helmholtz resonators: one-dimensional limit for small cavity lengthto-diameter ratios, J. Sound Vib., 195, 512-517.
• 18. Doria A. (1995), Control of acoustic vibrations of an enclosure by means of multiple resonators, J. Sound Vib., 181, 4, 673-685.
• 19. Fahy F.J., Schofield C. (1980), A note on the interaction between a Helmholtz resonator and an acoustic mode of an enclosure, J. Sound Vib., 72, 3, 365-378.
• 20. Helmholtz H.V., von den L. (1877), Tonempfindungen, Vieweg Verlag, Braunschweig.
• 21. Hsieh J.L. (2003), Attenuation of motorcycle intake Noise, Feng Chia University, Taiwan.
• 22. Ingard U. (1953), On the theory and design of acoustic resonators, J. Acoust. Soc. Am., 25, 6, 1037-1061.
• 23. Kirkpatrick S., Gelatt C.D., Vecchi M.P. (1983), Optimization by simulated annealing, Science, 220, 671-680.
• 24. Leug P. (1936), Process of silencing sound oscillations, U. S. Patent, 2 043 416.
• 25. Li D., Cheng L. (2007), Acoustically coupled model of an enclosure and Helmholtz resonator Array, J. Sound Vib., 305, 272-288.
• 26. Lord J.W., Rayleigh S. (1945), The theory of sound, Dover Publicaions, Inc., New York.
• 27. Metropolis A., Rosenbluth W., Rosenbluth M.N., Teller H., Teller E. (1953), Equation of static calculations by fast computing machines, The Journal of Chemical Physics, 21, 1087-1092.
• 28. Munjal M.L. (1987), Acoustics of ducts and mufflers with application to exhaust and ventilation system design, John Wiley & Sons, New York.
• 29. Olsen H.F., May E.G. (1953), Electronic sound absorber, J. Acoust. Soc. Am., 25, 1130-1136.
• 30. Rayleigh L. (1896), Theory of sound II, Macmillan, London.
• 31. Selamet J., Xu M.B., Lee I.J. (2005), Helmholtz resonator lined with absorbing material, J. Acoust. Soc. Am., 117, 2, 725-733.
• 32. Sugimoto N. (1992), Propagation of nonlinear acoustic waves in a tunnel with an array of Helmholtz resonators, J. Fluid Mech., 244, 55-78.
• 33. Sugimoto N., Horioka T. (1995), Dispersion characteristics of sound waves in a tunnel with an array of Helmholtz resonators, J. Acoust. Soc. Am., 97, 1446-1459.
• 34. Tang S.K. (2005), On Helmholtz resonators with tapered necks, J. Sound Vib., 279, 1085-1096.