摘要Based on fuzzy logic (FL) and genetic algorithm (GA), we present an optimization method to obtain the optimal acoustic attenuation of a longitudinal acoustic wave propagating in a weakly compressible medium permeated with air bubbles. In the optimization, the parameters of the size distribution of bubbles in the medium are optimized for providing uniformly high acoustic attenuation in the frequency band of interest. Compared with other traditional optimization methods, the unique advantage of the present method is that it can locate the global optimum quickly and effectively in need of knowing the mathematical model precisely. As illustrated by a numerical simulation, the method is effective and essential in enhancing the acoustic attenuation of such a medium in an optimal manner. The bubbly medium with optimized structural parameters can effectively attenuate longitudinal waves at intermediate frequencies with an acoustic attenuation approximating a constant value of 10(dB/cm). Such bubbly media with optimal acoustic attenuations may be applied to design acoustic absorbent by controlling broader attenuation band and higher efficiency.
Abstract:Based on fuzzy logic (FL) and genetic algorithm (GA), we present an optimization method to obtain the optimal acoustic attenuation of a longitudinal acoustic wave propagating in a weakly compressible medium permeated with air bubbles. In the optimization, the parameters of the size distribution of bubbles in the medium are optimized for providing uniformly high acoustic attenuation in the frequency band of interest. Compared with other traditional optimization methods, the unique advantage of the present method is that it can locate the global optimum quickly and effectively in need of knowing the mathematical model precisely. As illustrated by a numerical simulation, the method is effective and essential in enhancing the acoustic attenuation of such a medium in an optimal manner. The bubbly medium with optimized structural parameters can effectively attenuate longitudinal waves at intermediate frequencies with an acoustic attenuation approximating a constant value of 10(dB/cm). Such bubbly media with optimal acoustic attenuations may be applied to design acoustic absorbent by controlling broader attenuation band and higher efficiency.
LIANG Bin;CHENG Jian-Chun. Optimal Acoustic Attenuation of Weakly Compressible Media Permeated with Air Bubbles[J]. 中国物理快报, 2007, 24(6): 1607-1610.
LIANG Bin, CHENG Jian-Chun. Optimal Acoustic Attenuation of Weakly Compressible Media Permeated with Air Bubbles. Chin. Phys. Lett., 2007, 24(6): 1607-1610.
[1] Ostrovsky L A 1988 Sov. Phys. Acoust. 34 523 [2] Ostrovsky L A 1991 J. Acoust. Soc. Am. 90 3332 [3] Gaunaurd GC and Barlow J 1984 J. Acoust. Soc. Am. 75 23 [4] Shen L F, Ye Z and He S 2003 Phys. Rev. B. 68 035109 [5] Liang B, Zhu Z M and Cheng J C 2006 Chin. Phys. 15 412 [6] Gaunaurd G C and \"Uberall H 1982 J. Acoust. Soc. Am. 71 282 [7] Li H and Gupta M 1995 Fuzzy Logic and IntelligentSystems (Boston: Kluwer) [8] Zimmermann H J, Zadeh L A and Gaines B R 1984 FuzzySets and Decision Analysis (Amsterdam: North-Holland) [9] Mitchell M 1996 An Introduction to Genetic Algorithms(Cambridge: MIT) [10] Xu Y et al 2005 Chin. Phys. Lett. 22 2557 [11] Chang Y C, Yeh L J and Chiu M C 2005 Int. J.Numer. Meth. Engin. 62 317 [12] Toks\"oz M N and Cheng C H 1980 J. Acoust.Soc. Am. 67 S43 [13] Hennion A C and Decarpigny J N 1991 J. Acoust.Soc. Am. 90 3356