Optimization of multi-chamber mufflers with reverse-flow ducts by algorithm of simulated annealing
In this paper, the four-pole system matrix for evaluating the acoustic performance - sound transmission loss (STL) - is derived by using a decoupled numerical method. Moreover, a simulated annealing (SA) algorithm, a robust scheme in searching for the global optimum by imitating the softening process of metal, has been used during the optimization process. Before dealing with a broadband noise, the STL's maximization with respect to a one-tone noise is introduced for the reliability check on the SA method. Moreover, the accuracy check of the mathematical models with respect to various acoustical elements is performed.
The optimal result in eliminating broadband noise reveals that the multi-chamber muffler with reverse-flow perforated ducts is excellent for noise reduction. Consequently, the approach used for the optimal design of the noise elimination proposed in this study is easy and effective.
Alley B.C., Dufresne R.M., Kanji N., Reesal M.R. (1989), Costs of workers’ compensation claims for hearing loss, Journal of Occupational Medicine, 31, 134–138.
Chang Y.C., Yeh L.J., Chiu M.C. (2004), Numerical studies on constrained venting system with side inlet/outlet mufflers by GA optimization, Acta Acustica united with Acustica, 1, 1, 1–11.
Chang Y.C., Yeh L.J., Chiu M.C. (2005), Shape optimization on double-chamber mufflers using Genetic Algorithm, Proc. ImechE Part C: Journal of Mechanical Engineering Science, 10, 31–42.
Chiu M.C. (2009), SA Optimization on multi-chamber mufflers hybridized with perforated plug-inlet under space constraints, Archives of Acoustics, 34, 3, 305–343.
Chiu M.C., Yeh L.J., Chang C.Y., Lai G.J., Her M.G., Lan T.S. (2006), Shape optimization of single-chamber mufflers with side inlet/outlet by using the boundary element method, mathematic gradient method and genetic algorithm, Proceedings of the 23th National Conference of the Chinese Society of Mechanical Engineers, R.O.C.
Davis D.D, Stokes J.M., Moorse L. (1954), Theoretical and experimental investigation of mufflers with components on engine muffler design, NACA Report, 1192.
Kirkpatrick S., Gelatt C.D., Vecchi M.P. (1983), Optimization by simulated annealing, Science, 220, 4598, 671–680.
Magrab E.B. (1975), Environmental Noise Control, John Wiley and Sons, New York.
Metropolis A., Rosenbluth W., Rosenbluth M.N., Teller H., Teller E. (1953), Equation of static calculations by fast computing machines, J. Chem. Phys., 21, 6, 1087– 1092.
Munjal M.L. (1987), Acoustics of Ducts and Mufflers with Application to Exhaust and Ventilation System Design, John Wiley and Sons, New York.
Munjal M.L, Rao K.N., Sahasrabudhe A.D. (1987), Aeroacoustic analysis of perforated muffler components, Journal of Sound and Vibration, 114, 2, 173–188.
Peat K.S. (1988), A numerical decoupling analysis of perforated pipe silencer elements, Journal of Sound and Vibration, 123, 2, 199–212.
Sullivan J.W., Crocker M.J. (1978), Analysis of concentric tube resonators having unpartitioned cavities, Acous. Soc. Am., 64, 207–215.
Sullivan J.W. (1979), A method of modeling perforated tube muffler components I: theory, Acous. Soc. Am., 66, 772–778.
Sullivan J.W., A method of modeling perforated tube muffler components II: theory, Acous. Soc. Am., 66, 779–788.
Thawani P.T., Jayaraman K. (1983), Modeling and applications of straight-through resonators, Acous. Soc. Am., 73, 4, 1387–1389.
Yeh L.J., Chang Y.C., Chiu M.C. (2006), Numerical studies on constrained venting system with reactive mufflers by GA optimization, International Journal for Numerical Methods in Engineering, 65, 1165–1185.
Yeh L.J., Chang Y.C., Chiu M.C., Lai G.J. (2003), Computer-aided optimal design of a single-chamber muffler with side inlet/outlet under space constraints, Journal of Marine Science and Technology, 11, 4, 1–8.