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The Optimal Design of Multi-Chamber Side Mufflers Equipped with Perforated Cross-Flow Tubes and Intruding Tubes using Simulated Annealing

Published online by Cambridge University Press:  31 August 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 Mechanical and Automation Engineering, Chung Chou University of Science and Technology, Changhua, Taiwan 51003, R.O.C.
*
*Associate Professor, corresponding author
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Abstract

Research on new techniques of side-inlet/outlet mufflers equipped with internal non-perforated intruding tubes has been discussed in recent literature; however, the research work of multi-chamber sideinlet/outlet mufflers in conjunction with cross-flow tubes and open-ended perforated intruding tubes which may efficiently increase the acoustical performance is rare. Therefore, the main purpose of this paper is not only to analyze the sound transmission loss (STL) of three kinds of side-inlet/outlet mufflers (a three-chamber muffler with cross-flow tubes, a five-chamber muffler with cross-flow tubes and a nonperforated tube, and a five-chamber muffler with cross-flow tubes and a perforated tube) but also to optimize their best design shape within a limited space.

In this paper, both the generalized decoupling technique and plane wave theory in solving the coupled acoustical problem are used. A four-pole system matrix in evaluating the acoustic performance is also deduced in conjunction with a simulated algorithm (SA). A numerical case in finding the optimal STL of mufflers, which is constrained within a basement with a side-inlet/outlet, at targeted tones has been introduced. Before the optimization is carried out, an accuracy check of the mathematical model is performed. Results reveal that the maximal STL is precisely located at the desired target tone. Moreover, it has been seen that mufflers with more chambers will increase the acoustic performance for both pure tone and broadband noise. Additionally, the acoustical performance of mufflers conjugated with perforated intruding tubes is superior to those equipped with non-perforated tubes.

Consequently, the approach used for seeking the optimal design of the STL proposed in this study is indeed easy and quite effective.

Keywords

Perforated intruding tubeCross-Flow tubeDecoupled numerical methodSpace constraintsSimulated annealing algorithm
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 3 , September 2011 , pp. 321 - 335
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

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References

REFERENCES

1. Magrab, E. B., Environmental Noise Control, John Wiley and Sons, New York (1975).Google Scholar
2. Davis, D. D., Stokes, J. M. and Moorse, L., “Theoretical and Experimental Investigation of Mufflers with Components on Engine Muffler Design,” NACA Report, 1192 (1954).Google Scholar
3. Yeh, L. J., Chang, Y. C., Chiu, M. C. and Lai, G. J., “Computer-aided Optimal Design of a Single-chamber Muffler with Side Inlet/outlet Under Space Constraints,” Journal of Marine Science and Technology, 11, pp. 1–8 (2003).CrossRefGoogle Scholar
4. 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, 90, pp. 1–11 (2004).Google Scholar
5. Chiu, M. C., “Shape Optimization of Double-chamber Side Mufflers with Extended Tube by Using Four-pole Matrix and Simulated Annealing Method,” Journal of Mechanics, 24, pp. 31–43 (2008).CrossRefGoogle Scholar
6. Chang, Y. C., Yeh, L. J. and Chiu, M. C., “GA Optimization on Single-chamber Muffler Hybridized with Extended Tube Under Space Constraints,” Archives of Acoustics, 29, pp. 577–596 (2004).Google Scholar
7. Sullivan, J. W. and Crocker, M. J., “Analysis of Concentric Tube Resonators Having Unpartitioned Cavities,” Acoustical Society of America, 64, pp. 207–215 (1978).CrossRefGoogle Scholar
8. Sullivan, J. W., “A Method of Modeling Perforated Tube Muffler Components I: Theory,” Acoustical Society of America, 66, pp. 772–778 (1979).CrossRefGoogle Scholar
9. Sullivan, J. W., “A Method of Modeling Perforated Tube Muffler Components II: Theory,” Acoustical Society of America, 66, pp. 779–788 (1979).CrossRefGoogle Scholar
10. Sathyanarayana, Y. and Munjal, M. L., “A Hybrid Approach for Aeroacoustic Analysis of the Engine Exhaust System,” Applied Acoustics, 60, pp. 425–450 (2000).CrossRefGoogle Scholar
11. Thawani, P. T. and Jayaraman, K., “Modeling and Applications of Straight-through Resonators,” Acoustical Society of America, 73, pp. 1387–1389 (1983).CrossRefGoogle Scholar
12. Rao, K. N. and Munjal, M. L., “Experimental Eevaluation of Impedance of Perforates with Grazing Flow,” Journal of Sound and Vibration, 123, pp. 283–295 (1986).Google Scholar
13. Munjal, M. L., Acoustics of Ducts and Mufflers with Application to Exhaust and Ventilation System Design, John Wiley & Sons, New York (1987).Google Scholar
14. Peat, K. S., “A Numerical Decoupling Analysis of Perforated Pipe Silencer Elements,” Journal of Sound and Vibration, 123, pp. 199–212 (1988).CrossRefGoogle Scholar
15. Wang, C. N., The Application of Boundary Element Method in the Noise Reduction Analysis for the Automotive Mufflers, Doctor thesis, Taiwan University (1992).Google Scholar
16. Chiu, M. C. and Chang, Y. C., “Shape Optimization of Multi-chamber Cross-flow Mufflers by SA Optimization,” Journal of Sound and Vibration, 312, pp. 526–550 (2008).CrossRefGoogle Scholar
17. Chiu, M. C., Yeh, L. J., Chang, Y. C. and Lan, T. S., “Shape Optimization of Single-chamber Mufflers with Side Inlet/outlet by Using Boundary Element Method, Mathematic Gradient Method and Genetic Algorithm,” Tamkang Journal of Science and Engineering, 12, pp. 85–98 (2009).Google Scholar
18. Rardin, R. L., Optimization in Operations Research, Prentice Hall, New Jersey (1998).Google Scholar
19. Laurence, W., Integer Programming, John Wiley & Sons, New York (1998).Google Scholar
20. Vanderplaats, N. G., Numerical Optimization Techniques for Engineering Design: With Applications, McGraw-Hill, New York (1984).Google Scholar
21. Weeber, K., Ratnajeevan, S. and Hoole, H., “Geometric Parametrization and Constrained Optimization Techniques in the Design of Salient Pole Synchronous Machines,” IEEE Transaction on Magnetics, 28, pp. 1948–1960 (1992).CrossRefGoogle Scholar
22. Reklaitis, G. V., Ravindran, A. and Ragsdell, K. M., Engineering Optimization: Method and Applications, Wiley, New York (1984).Google Scholar
23. Glover, F., “Heuristics for Inter Programming Using Surrogate Constraints,” Decision Sciences, 8, pp. 156–166 (1977).CrossRefGoogle Scholar
24. 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
25. Metropolis, A., Rosenbluth, W., Rosenbluth, M. N., Teller, H. and Teller, E., “Equation of Static Calculations by Fast Computing Machines,” Journal of Chemical Physics, 21, pp. 1087–1092 (1953).CrossRefGoogle Scholar
26. Kirkpatrick, S., Gelatt, C. D. and Vecchi, M. P., “Optimization by Simulated Annealing,” Science, 220, pp. 671–680 (1983).CrossRefGoogle ScholarPubMed
27. Nolle, L., Armstrong, D. A., Hopgood, A. A. and Ware, J. A., “Simulated Annealing and Genetic Algorithms Applied to Finishing Mill Optimization for Hot Rolling of Wide Steel Strip,” International of Knowledge-Based Intelligent Engineering System, 6, pp. 104–111 (2002).Google Scholar
28. Munjal, M. L., “Plane Wave Analysis of Side Inlet/outlet Chamber Mufflers with Mean Flow,” Applied Acoustics, 52, pp. 165–175 (1997).CrossRefGoogle Scholar