Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-28T18:07:35.278Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical Assessment of Rectangular Straight/Reverse Mufflers at High-Order-Modes

Published online by Cambridge University Press:  14 December 2016

Y. C. Chang ,
D. Y. Lin ,
H. C. Cheng  and
M. C. Chiu
Y. C. Chang
Affiliation:
Department of Mechanical EngineeringTatung UniversityTaipei, Taiwan
D. Y. Lin
Affiliation:
Department of Mechanical EngineeringTatung UniversityTaipei, Taiwan
H. C. Cheng
Affiliation:
Department of Mechanical and Automation EngineeringChung Chou University of Science and TechnologyChanghua, Taiwan
M. C. Chiu*
Affiliation:
Department of Mechanical and Automation EngineeringChung Chou University of Science and TechnologyChanghua, Taiwan
*
*Corresponding author (minchie.chiu@msa.hinet.net)
Get access

Abstract

There has been wide-spread use of plane wave theory in muffler design in industry. However, This has led to an underestimation of acoustical performances at higher frequencies. To overcome the above drawback, the finite element and boundary element methods have been developed. Nevertheless, the time consumed in calculating the noise level is unacceptable. Moreover, considering the acoustical effect and necessity of space-constrained situation in industry, a compact design of reverse mufflers which may improve the acoustical efficiency is then proposed.

In this paper, a numerical assessment of rectangular mufflers hybridized with straight/reverse chambers using eigen function, four-pole matrix, and genetic algorithm under limited space is developed. Before the optimization is performed, an accuracy check of the mathematical models for the muffler will be carried out. Results reveal that the noise reduction will increase when the number of chambers increases. In addition, the acoustical performance of the mufflers is reversely proportional to the diameter of the inlet/outlet tubes. Also, the TL of the mufflers will be improved when using more number of target tones in the objective function. Consequently, a successful approach in searching optimal shaped rectangular straight/reverse mufflers using an eigen function and a genetic algorithm method within a constrained space has been demonstrated.

Keywords

BiasEigen functionHigher order modeOptimizationReverse
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 3 , June 2018 , pp. 325 - 336
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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. Davis, D. D., Stokes, J. M., Moore, D. and Steven, L., “Theoretical and Experimental Investigation of Mufflers with Comments on Engine Exhaust Muffler Design,” NACA Report 1192 (1954).Google Scholar
2. Munjal, M. L., “Velocity Ratio-cum-transfer Matrix Method for the Evaluation of a Muffler with Mean Flow,” Journal of the Acoustical Society of America, 39, pp. 105–119 (1957).Google Scholar
3. Sullivan, J. W. and Crocker, M. J., “Analysis of Concentric-tube Resonators Having Unpartitioned Cavities,” Journal of the Acoustical Society of America, 64, pp. 207–215 (1978).CrossRefGoogle Scholar
4. Sullivan, J. W., “A Method for Modeling Perforated Tube Muffler Components. I: Theory,” Journal of the Acoustical Society of America, 66, pp. 772–778 (1979).CrossRefGoogle Scholar
5. Ih, J. G. and Lee, B. H., “Analysis of Higher-order Mode Effects in the Circular Expansion Chamber with Mean Flow,” Journal of the Acoustical Society of America, 77, pp. 1377–1388 (1985).Google Scholar
6. Ih, J. G. and Lee, B. H., “Theoretical Prediction of the Transmission Loss of Circular Reversing Chamber Mufflers,” Journal of Sound and Vibration, 112, pp. 261–272 (1987).Google Scholar
7. 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
8. Mimani, A. and Munjal, M. L., “Transverse Plane-Wave Analysis of Short Elliptical End-Chamber and Expansion-Chamber Mufflers,” International Journal of Acoustics and Vibration, 15, pp. 24–38 (2010).Google Scholar
9. Siano, D., Bozza, F. and Auriemma, F., “Acoustic and Fluid-dynamic Optimization of an Automotive Muffler,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 227, pp. 735–747 (2013).Google Scholar
10. Young, C. I. and Crocker, M. J., “Prediction of Transmission Loss in Mufflers by the Finite-element Method,” Journal of the Acoustical Society of America, 57, pp. 144–148 (1975).Google Scholar
11. Siano, D., “Three-dimensional/One-dimensional Numerical Correlation Study of a Three-pass Perforated Tube,” Simulation Modelling Practice and Theory, 19, pp. 1143–1153 (2011).CrossRefGoogle Scholar
12. Siano, D., Auriemma, F. and Bozza, F., “Pros and Cons of Using Different Numerical Techniques for Transmission Loss Evaluation of a Small Engine Muffler,” SAE Technical Paper, DOI: 10.4271/2010-32-0028 (2010).Google Scholar
13. Jones, P. W. and Kessissoglou, N. J., “A Numerical and Experimental Study of the Transmission Loss of Mufflers used in Respiratory Medical Devices,” Acoustics Australia, 38, pp. 13–19 (2010).Google Scholar
14. Ji, Z. and Fang, Z., “Three-pass Perforated Tube Muffler with End-resonator,” SAE International Journal of Passenger Cars - Mechanical Systems, 4, pp. 989–999 (2011).Google Scholar
15. Vasile, O. and Gillich, N., “Finite Element Analysis for Reactive and Dissipative Rectangular Muffler,” Recent Advances in Signal Processing, Computational Geometry and Systems Theory, pp. 251–255 (2011).Google Scholar
16. Reddy, M. R. and Reddy, K. M., “Design and Optimization of Exhaust Muffler in Automobiles,” International Journal of Engineering Research and Applications, 2, pp. 395–398 (2012).Google Scholar
17. Vasile, O. and Gillich, G. R., “Finite Element Analysis of Acoustic Pressure Levels and Transmission Loss of a Muffler,” Advances in Remote Sensing, Finite Differences and Information Security, pp. 43–48 (2012).Google Scholar
18. Jadhav, M. B. and Bhattu, A. P., “Validation of the Experimental Setup for the Determination of Transmission Loss of Known Reactive Muffler Model by Using Finite Element Method,” International Journal of Engineering and Innovative Technology, 2, pp. 96–100 (2012).Google Scholar
19. Seybert, A. F. and Cheng, C. Y. R., “Application of the Boundary Element Method to Acoustic Cavity Response and Muffler Analysis,” Transactions of the American Society of Mechanical Engineers, Journal of Vibration, Stress, and Reliability in Design, 109, pp. 15–21 (1987).Google Scholar
20. Ih, J. G., “The Reactive Attenuation of Rectangular Plenum Chambers,” Journal of Sound and Vibration, 157, pp. 93–122 (1992).CrossRefGoogle Scholar
21. Chiu, M. C. and Chang, Y. C., “An Assessment of High-order-mode Analysis and Shape Optimization of Expansion Chamber Mufflers,” Archives of Acoustics, 39, pp. 1–11 (2014).Google Scholar
22. Abramowitz, M. and Stegun, I.A., Mathematical Handbook Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Washington (1964).Google Scholar
23. Abom, M. and Qazizadeh, A, “Analytical and Numerical Analysis of the Acoustics of Shallow Flow Reversal Chambers,” M.S. Thesis, KTH The Marcus Wallenberg Laboratory for Sound and Vibration Research, Stockholm, Sweden (2012).Google Scholar
24. Holland, J.H., Adaptation in Natural and Artificial System, MIT Press Cambridge, MA, USA (1992).CrossRefGoogle Scholar
25. De Jong, K. A., “An Analysis of the Behavior of a Class of Genetic Adaptive Systems,” Ph.D. Dissertation, University of Michigan, Ann Arbor, Michigan, U.S. (1975).Google Scholar
26. 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).Google Scholar
27. Chang, Y. C., Yeh, L. J. and Chiu, M. C., “Optimization of Constrained Multi-layer Absorbers by Using Genetic Algorithms,” International Journal of Acoustics and Vibration, 9, pp. 175–185 (2004).Google Scholar
28. Lan, T. S. and Chiu, M. C., “Identification of Noise Sources in Factory's Sound Field by Using Genetic Algorithm,” Applied Acoustics, 69, pp. 733–750 (2008).Google Scholar
29. Chiu, M. C., “The Numerical Assessment of Optimal Equipment Allocation and Acoustical Barrier Shape in a Multi-noise Plant by Using the Genetic Algorithm method,” Journal of Marine Science and Technology, 18, pp. 56–68 (2010).Google Scholar
30. Chiu, M. C., “Numerical Assessment of Path-planning for an Autonomous Robot Passing through Multi-layer Barrier Systems Using a Genetic Algorithm,” Information Technology Journal, 9, pp. 1483–1489 (2010).Google Scholar