Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-22T23:00:31.970Z Has data issue: false hasContentIssue false
  • English
  • Français

Shape Optimization of Double-Chamber Side Mufflers with Extended Tube by Using Four-Pole Matrix and Simulated Annealing Method

Published online by Cambridge University Press:  05 May 2011

M.-C. Chiu
M.-C. Chiu
Affiliation:
Department of Automatic Control Engineering, Chungchou Institute of Technology, Changhua, Taiwan 51003, R.O.C.
Get access

Abstract

As an excellent ability in eliminating venting noise in lower frequencies, the reactiv silencer has prevailed and is widely discussed. Most researchers have explored noise reduction effects due to the flowing rate and temperature gradient based on a pure plane wave theory; however, the maximum noise reduction of a silencer under a space constraint, which frequently occurs in engineering problems, is rarely addressed. Because most of the optimal assessments were oriented with a slower optimizer, the issue of using a novel optimizer to speed up the optimization of a complicated silencer has arisen. In this paper, the optimal design of a double-chamber side muffler connected with an internal extended tube under a limited space is presented; in addition, simulated annealing (SA) is selected as the optimizer. Based on a plane wave theory, the systems' matrices under a flowing effect have been established. To verify the accuracy of the mathematical model, one set of silencers has been constructed and acoustically tested in the laboratory. The results reveal that they are in agreement; thereafter, two numerical cases of optimal noise reduction to pure tone and octave band noise sources are exemplified. Consequently, the SA method can definitely provide a quick and efficient way in optimal muffler design work.

Keywords

Multi-chamber mufflersShape optimizationFour-pole matrix methodSimulated annealing method
Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 1 , March 2008 , pp. 31 - 43
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.)

References

1.Prasad, M. G. and Crocker, M. J., “Studies of Acoustical Performance of a Multi-Cylinder Engine Exhaust Muffler System,” Journal of Sound and Vibration, 4, pp. 491–508 (1983).CrossRefGoogle Scholar
2.Prasad, M. G., “A Note on Acoustic Plane Waves in a Uniform Pipe with Mean Flow,” Journal of Sound and Vibration, 2, pp. 284–290 (1984).CrossRefGoogle Scholar
3.Munjal, M. L. and Prasad, M. G., “Transfer Matrix of a Uniform Tube with Moving Medium and Linear Temperature Gradient,” J. Acoust. Soc. Am., 50, pp. 501–1506(1986).Google Scholar
4.Munjal, M. L., “Plane Wave Analysis of Side Inlet/Outlet Chamber Mufflers with Mean Flow,” Applied Acoustics, 52, pp. 165–175 (1997).CrossRefGoogle Scholar
5.Bernhard, R. J., “Shape Optimization of Reactive Mufflers,” Noise Control Engineering Journal, 1, pp. 10–17 (1986).CrossRefGoogle Scholar
6.Yeh, L. J., Chiu, M. C. and Lai, G. J., “Computer Aided Design on Single Expansion Muffler under Space Constraints,” Proceedings of the 19th National Conference on Mechanical Engineering, The Chinese Society of Mechanical Engineers, Hu-wei, Taiwan, C7, pp. 625–633 (2002).Google Scholar
7.Chang, Y. C., Yeh, L. J., Chiu, M. C. and Lai, G. J., “Shape Optimization on Double-Chamber Muffler with Side Inlet/Outlet under Space Constraints,” Journal of Chung Cheng Institute of Technology, 2, pp. 1–12 (2005).Google Scholar
8.Munjal, M. L., Acoustics of Ducts and Mufflers with Application to Exhaust and Ventilation System Design, John Wiley & Sons, New York (1987).Google Scholar
9.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
10.Schaffer, M. E., A Practical Guide to Noise and Vibration Control for HVAC Systems, ASHRAE, New York (1991).Google Scholar
11.Hsiao, F.-B., Hsu, I-C., and Hsu, C.-C., “Instability Modal Behavior of the Acoustically Excited Impinging Plane Jet with a Small Cylinder,” Journal of Mechanics, 20, pp. 145–157(2004).CrossRefGoogle Scholar
12.Chang, K. T. and Huang, R. F., “Development and Characterization of Jet-Injected Vee-Gutter,” Journal of Mechanics, 20, pp. 77–83 (2004).CrossRefGoogle Scholar
13.Hsu, U.-K., Tai, C.-H., and Tsai, C.-H., “All Speed and High-Resolution Scheme Applied to Three-Dimensional Multi-Block Complex Flow Field System,” Journal of Mechanics, 20, pp. 13–25 (2004).CrossRefGoogle Scholar
14.Chen, T. Y. and Chen, Y. H., “Rectangular-Plate Turbulator Effects on Heat Transfer and Near-Wall Flow Characteristics in Fan Flows,” Journal of Mechanics, 20, pp. 33–42 (2004).CrossRefGoogle Scholar
15.Hasheminejad, S. M., “Acoustic Scattering by a Fluid-Encapsulation Spherical Viscoelastic Membrane Including Thermoviscous Effects,” Journal of Mechanics, 21, pp. 205–215 (2005).CrossRefGoogle Scholar
16.Metropolis, A., Rosenbluth, W., Rosenbluth, M. N., Teller, H. and Teller, E., “Equation of Static Calculations by Fast Computing Machines,” The Journal of Chemical Physics, 21, pp. 1087–1092 (1953).CrossRefGoogle Scholar
17.Kirkpatrick, S., Gelatt, C. D. Jr. and Vecchi, M. P., “Optimization by Simulated Annealing,” Science, 220, 4598, pp. 671–680(1983).CrossRefGoogle ScholarPubMed
18.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
19.Cave, A., Nahavandi, S. and Kouzani, A., “Simulation Optimization for Process Scheduling through Simulated Annealing,” Proceedings of the Winter Simulation Conference, pp. 1909–1913 (2002).Google Scholar