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Optimization of Rectangular Multi-Chamber Plenums Equipped with Multiple Extended Tubes Using the BEM, Neural Networks, and the Genetic Algorithm

Published online by Cambridge University Press:  21 October 2014

Y.-C. Chang  and
M.-C. Chiu
Y.-C. Chang
Affiliation:
Department of Mechanical Engineering, Tatung University, Taipei, Taiwan
M.-C. Chiu*
Affiliation:
Department of Mechanical Engineering, Tatung University, Taipei, Taiwan
*
*[email protected]
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Abstract

The focal point of this paper is to uncover, by analyzing the higher order wave effect, an improved mechanism for space-constrained rectangular plenums using a simplified objective function in conjunction with a genetic (GA). Three kinds of rectangular mufflers hybridized with extended tubes will be assessed: Plenum A: A two-chamber plenum equipped with an extended tube; plenum B: A three-chamber plenum with two extended tubes; and plenum C: A two-chamber plenum equipped with three extended tubes. In order to shorten the numerical assessment, a simplified objective function (OBJ) is established using a boundary element model (BEM) in conjunction with the neural network model (NNM). To expediently approach an optimal plenum, the best OBJ will be numerically searched using a genetic algorithm (GA). However, before the GA operation is performed, the accuracy of the BEM is verified using analytical data. And, because the simplified objective function (OBJ) is seen to be in agreement with the BEM, the numerical cases of sound elimination relative to the various parameter sets and pure tones (300, 750, and 1300Hz) can be carried out.

Results reveal that the maximum value of the sound transmission loss (STL) can be accurately obtained at the desired frequencies. Additionally, the acoustical performance of the lower frequencies will be improved if the number of chambers and rectangular tubes are increased. However, the acoustical performance of the higher frequencies will decrease when the number of chambers and rectangular tubes are decreased. Consequently, the algorithms proposed in this study will efficiently develop optimal rectangular plenums with multiple rectangular extended tubes.

Keywords

BEMPlenumExtended tubesNeural network systemOptimizationGenetic algorithm
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 6 , December 2014 , pp. 571 - 584
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

1.Alley, B. C., Dufresne, R. M., Kanji, N. and Reesal, M. R., “Costs of Workers' Compensation Claims for Hearing Loss,” Journal of Occupational Medicine, 31, pp. 134–138 (1989).Google Scholar
2.Cheremisinoff, P. N. and Cheremisinoff, P. P., Industrial Noise Control Handbook, Ann Arbor Science, Michigan (1977).Google Scholar
3.Wells, R. J., “Acoustical Plenum Chambers,” Noise Control, 4, pp. 9–15 (1958).CrossRefGoogle Scholar
4.Ko, S. H., “Sound Attenuation in Lined Rectangular Ducts with Flow and its Application to the Reduction of Aircraft Engine Noise,” Journal of the Acoustical Society of America, 50, pp. 1418–1432 (1971).CrossRefGoogle Scholar
5.Magrab, E. B., Environmental Noise Control, John Wiley & Sons, New York (1975).Google Scholar
6.Igarashi, J. and Toyama, M., Fundamentals of Acoustical Silencers, Part 1: Theory and Experiment of Acoustic Low-pass Filters, Aeronaut Research Institute, University of Tokyo, Report No. 339, pp. 223–241 (1958).Google Scholar
7.Igarashi, J. and Arai, M., Fundamentals of Acoustical Silencers, Part 3: Attenuation Characteristic Studies by Electric Simulator, Aeronaut Research Institute, University of Tokyo, Report No. 351, pp. 17–31 (1960).Google Scholar
8.Miwa, T. and Igarashi, J., Fundamentals of Acoustical Silencers, Part 2: Determination of Four Terminal Constants of Acoustical Element, Aeronaut Research Institute, University of Tokyo, Report No. 344, pp. 67–85 (1959).Google Scholar
9.Cummings, A., “The Attenuation of Lined Plenum Chambers in Duct: I. Theoretical Models,” Journal of Sound and Vibration, 61, pp. 347–373 (1978).CrossRefGoogle Scholar
10.Munjal, M. L., “A Simple Numerical Method for Three-Dimensional Analysis of Simple Expansion Chamber Mufflers of Rectangular as well as Circular Cross-Section with a Stationary Medium,” Journal of Sound and Vibration, 116, pp. 71–88 (1987).CrossRefGoogle Scholar
11.Prasad, M. G., “A Note on Acoustic Plane Waves in a Uniform pipe with Mean Flow,” Journal of Sound and Vibration, 95, pp. 284–290 (1984).CrossRefGoogle Scholar
12.Munjal, M. L., Acoustics of Ducts and Mufflers with Application to Exhaust and Ventilation System Design, John Wiley & Sons, New York (1987).Google Scholar
13.Kim, Y. H., Choi, J. W. and Lim, B. D., “Acoustic Characteristics of an Expansion Chamber with Constant Mass Flow and Steady Temperature Gradient (Theory and Numerical Simulation),” Journal of Vibration and Acoustics, 112, pp. 460–467 (1990)CrossRefGoogle Scholar
14.Munjal, M. L., “Plane Wave Analysis of Side Inlet/outlet Chamber Mufflers with Mean Flow,” Applied Acoustics, 52, pp. 165–175 (1997).CrossRefGoogle Scholar
15.Ih, J. G., “The Reactive Attenuation of Rectangular Plenum Chambers,” Journal of Sound and Vibration, 157(1), pp.93–122 (1992).CrossRefGoogle Scholar
16.Li, X. and Hansen, C. H., “Comparison of Models for Predicting the Transmission Loss of Plenum Chambers,” Applied Acoustics, 66, pp. 810–828 (2005).CrossRefGoogle Scholar
17.2007 ASHRAE Handbook: Heating, Ventilating and Air-Conditioning Applications, Chapter 47: Sound and Vibration Control, American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc., Atlanta (2007).Google Scholar
18.Herrin, D. W., Tao, Z., Scalf, E. L., Allen, S. A. and Seybert, A. F., “Using Numerical Acoustics to Predict the Attenuation of HVAC Plenums,” ASHRAE Transactions, 113, pp. 10–18 (2007).Google Scholar
19.Liu, J. and Herrin, D. W., “Enhancing Micro-perforated Panel Attenuation by Partitioning the Adjoining Cavity,” Applied Acoustics, 71, pp. 120–127 (2010).CrossRefGoogle Scholar
20.Yeh, L. J., Chang, Y. C., Chiu, M. C. and Lai, G. J., “GA Optimization on Multi-segments Muffler Under Space Constraints,” Applied Acoustics, 65, pp. 521–543 (2004).CrossRefGoogle Scholar
21.Chang, Y. C., Yeh, L. J. and Chiu, M. C., “Numerical Studies on Constrained Venting System with Side Inlet/outlet Mufflers by GA Optimization,” Acta Acustica united with Acustica, 1, pp. 1–11 (2004).Google Scholar
22.Chang, Y. C., Yeh, L. J. and Chiu, M. C., “Shape Optimization on Double-chamber Mufflers Using Genetic Algorithm,” Proceedings of ImechE, Part C: Journal of Mechanical Engineering Science, 10, pp. 31–42 (2005).CrossRefGoogle Scholar
23.Yeh, L. J., Chang, Y. C. and Chiu, M. C., “Numerical Studies on Constrained Venting System with Reactive Mufflers by GA Optimization,” International Journal for Numerical Methods in Engineering, 65, pp. 1165–1185 (2006).CrossRefGoogle Scholar
24.Chang, Y. C. and Chiu, M. C., “Numerical Optimization of Single-chamber Mufflers Using Neural Network and Genetic Algorithm,” Turkish Journal of. Engineering and Environmental Sciences, 32, pp. 313–322 (2009).Google Scholar
25.Chang, Y. C., Yeh, L. J., Chiu, M. C. and Lai, G. J., “Shape Optimization on Constrained Single-layer Sound Absorber by Using GA Method and Mathematical Gradient Methods,” Journal of Sound and Vibration, 286, pp. 941–961 (2005).CrossRefGoogle Scholar
26.Ivakhnenko, A. G., “Polynomial Theory of Complex System,” IEEE Transactions on Systems, Man and Cybernetics, 1, pp. 364–368 (1971).CrossRefGoogle Scholar
27.Patrikar, A. and Provence, J., “Nonlinear System Identification and Adaptive Control Using Polynomial Networks,” Mathematical and Computer Modelling, l23, pp. 159–173 (1996).CrossRefGoogle Scholar
28.Holland, J. H., Adaptation in Natural and Artificial System, University of Michigan Press, Ann Arbor, Michigan, US (1975).Google Scholar
29.Jong, D., Analysis of the Behavior of a Class of Genetic Adaptive System, Ph.D. Dissertation, University of Michigan, Michigan, US (1975).Google Scholar