Hostname: page-component-7b7567c8c-wxvwp Total loading time: 0 Render date: 2026-11-15T21:19:14.285Z Has data issue: false hasContentIssue false
  • English
  • Français

Shape Optimization of One-Chamber Cross-Flow Mufflers by GA Optimization

Published online by Cambridge University Press:  05 May 2011

Y.-C. Chang and
M.-C. Chiu
Y.-C. Chang*
Affiliation:
Department of Mechanical Engineering, Tatung University, Taipei, Taiwan 10452, R.O.C.
M.-C. Chiu*
Affiliation:
Department of Automatic Control Engineering, Chungchou Institute of Technology, Changhua, Taiwan 51003, R.O.C.
*
*Associate Professor
**Assistant Professor
Get access

Abstract

In order to reduce the venting noise within a confined room, the development of a high performance muffler within certain space constraints is imperative. Therefore, the main purpose of this paper is to develop an optimally shaped one-chamber cross-flow perforated muffler that will dramatically increase the acoustical performance within a limited space.

On the basis of plane wave theory, a four-pole system matrix for evaluating acoustical performance is derived by using a decoupled numerical method. Moreover, in order to search for a global optimum, a genetic algorithm (GA) with tournament selection in elitism and uniform crossover/mutation (analogous to a genes' evolutionary process) has been used for the mufflers' optimization. To assure the GAs' correctness, the STLs' maximization of one-chamber cross-flow perforated mufflers with respect to three targeted frequencies (200, 400, and 800Hz) is exemplified. Furthermore, a numerical case for dealing with an octave band noise emitted from an air compressor using one-chamber cross-flow mufflers has been introduced and fully discussed. To achieve a better optimization with the GA, various GA parameter sets were used. Before the GA operation is carried out, the mathematical models of cross-flow perforated mufflers are verified by comparing the numerical result and experimental data with those obtained by Sullivan and Wu respectively.

Consequently, the results reveal that the acoustical performance for a cross-flow perforated muffler is excellent. Moreover, they reveal that the optimization approach proposed in this study is easy, economical, and quite effective.

Keywords

One-chamber perforated cross-flow mufflerDecoupled numerical methodFour-pole transfer matrix methodSpace constraintsGA optimization

Information

Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 1 , March 2008, pp. 13 - 29
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

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.Munjal, M. L., Rao, K. N. and Sahasrabudhe, A. D., “Aeroacoustic Analysis of Perforated Muffler Components,” Journal of Sound and Vibration, 114, pp. 173–188 (1987).CrossRefGoogle Scholar
3.Sullivan, J. W. and Crocker, M. J., “Analysis of Concentric Tube Resonators Having Unpartitioned Cavities,” Acous. Soc. Am., 64, pp. 207–215 (1978).CrossRefGoogle Scholar
4.Sullivan, J. W., “A Method of Modeling Perforated Tube Muffler Components I: Theory,” Acous. Soc. Am., 66, pp. 772–778(1979).CrossRefGoogle Scholar
5.Sullivan, J. W., “A Method of Modeling Perforated Tube Muffler Components II: Theory,” Acous. Soc. Am., 66, pp. 779–788(1979).CrossRefGoogle Scholar
6.Jayaraman, K. and Yam, K., “Decoupling Approach to Modeling Perforated Tube Muffler Component,” Acous. Soc. Am., 69, pp. 390–396 (1981).CrossRefGoogle Scholar
7.Thawani, P. T. and Jayaraman, K., “Modeling and Applications of Straight-through Resonators,” Acous. Soc. Am., 73, pp. 1387–1389(1983).CrossRefGoogle Scholar
8.Munjal, M. L., Acoustics of Ducts and Mufflers with Application to Exhaust and Ventilation System Design, John Wiley and Sons, New York (1987).Google Scholar
9.Peat, K. S., “A Numerical Decoupling Analysis of Perforated Pipe Silencer Elements,” Journal of Sound and Vibration, 123, pp. 199–212 (1988).CrossRefGoogle Scholar
10.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
11.Chang, Y. C., Yeh, L. J. and Chiu, M. C., “Shape Optimization on Constrained Single-Chamber Muffler by Using GA Method and Mathematical Gradient Method,” International Journal of Acoustics and Vibration, 10, pp. 17–25 (2005).Google Scholar
12.Chang, Y. C., Yeh, L. J. and Chiu, M. C., “Shape Optimization on Double-Chamber Mufflers Using Genetic Algorithm,” Proc. ImechE Part C: Journal of Mechanical Engineering Science, 10, pp. 31–42 (2005).CrossRefGoogle Scholar
13.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
14.Wu, T. W. and Zhang, P., “Boundary Element Analysis of Mufflers with an Improved Method for Deriving the Four-Pole Parameters,” Journal of Sound and Vibration, 217, pp. 767–779(1998).CrossRefGoogle Scholar
15.Holland, J., Adaptation in Natural and Artificial System, University of Michigan Press, Ann Arbor (1975).Google Scholar
16.Jong, D., “An Analysis of the Behavior of a Class of Genetic Adaptive Systems,” Doctoral Dissertation, Dept. Computer and Communication Sciences, Ann Arbor, University of Michigan (1975).Google Scholar
17.Fan, Y. T. and Wu, W. F., “Dynamic Analysis and Ride Quality Evaluation of Railway Vehicles Numerical Simulation and Field Test Verification,” Journal of Mechanics, 22, pp. 1–11 (2006)CrossRefGoogle Scholar
18.Tsai, C. C., Young, D. L. and Fan, C. M., “Method of Fundamental Solutions for Plate Vibration in Multiply Connected Domanins,” Journal of Mechanics, 22, pp. 235–246 (2006)CrossRefGoogle Scholar
19.Rao, K. N. and Munjal, M. L., “Experimental Evaluation of Impedance of Perforates with Grazing Flow,” Journal of Sound and Vibration, 123, pp. 283–295 (1986).Google Scholar