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Research Papers

Sound Absorption Optimization of Graded Semi-Open Cellular Metals by Adopting the Genetic Algorithm Method

[+] Author and Article Information
H. Meng, T. J. Lu

State Key Laboratory for Strength and
Vibration of Mechanical Structures,
School of Aerospace,
Xi'an Jiaotong University,
Xi'an 710049, China

F. X. Xin

State Key Laboratory for Strength and
Vibration of Mechanical Structures,
School of Aerospace,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: fengxian.xin@gmail.com

1Corresponding author.

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 26, 2013; final manuscript received August 18, 2014; published online September 11, 2014. Assoc. Editor: Lonny Thompson.

J. Vib. Acoust 136(6), 061007 (Sep 11, 2014) (8 pages) Paper No: VIB-13-1225; doi: 10.1115/1.4028377 History: Received June 26, 2013; Revised August 18, 2014

Built upon the acoustic impedance of circular apertures and cylindrical cavities as well as the principle of electroacoustic analogy, an impedance model is developed to investigate theoretically the sound absorption properties of graded (multilayered) cellular metals having semi-open cells. For validation, the model predictions are compared with existing experimental results, with good agreement achieved. The results show that the distribution of graded geometrical parameters in the semi-open cellular metal, including porosity, pore size, and degree of pore opening (DPO), affects significantly its sound absorbing performance. A strategy by virtue of the genetic algorithm (GA) method is subsequently developed to optimize the sound absorption coefficient of the graded semi-open cellular metal. The objective functions and geometric constraint conditions are given in terms of the key geometrical parameters as design variables. Optimal design is conducted to seek for optimal distribution of the geometrical parameters in graded semi-open cellular metals.

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References

Figures

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Fig. 2

Schematic of a semi-open cellular metal sample with k layers backed by rigid wall

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Fig. 1

Idealized unit cell and arrangement for cellular metals having semi-open cells

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Fig. 3

Sound absorption of 6-layer graded semi-open cellular metal: comparison between model predictions and experimental measurements [7]

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Fig. 4

Comparison of sound absorption coefficient between semi-open cellular foam samples having different porosity distributions

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Fig. 5

Comparison of sound absorption coefficient between semi-open cellular foam samples having different pore size distributions

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Fig. 6

Comparison of sound absorption coefficient between semi-open cellular foam samples having different DPO distributions

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Fig. 7

Predicted sound absorption coefficient plotted as a function of frequency for semi-open cellular metal: comparison amongst uniform, linear, and sole-frequency (2000 Hz) optimized porosity distributions

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Fig. 8

Predicted sound absorption coefficient plotted as a function of frequency for semi-open cellular metal: comparison amongst uniform, linear, and frequency-range (2000–2500 Hz) optimized porosity distributions

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Fig. 9

Sound absorption coefficient of semi-open cellular metal material: comparison amongst uniform, linear, and sole-frequency (2000 Hz) optimized pore size distributions

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Fig. 10

Sound absorption coefficient of semi-open cellular metal material: comparison amongst uniform, linear, and frequency-range (2000–2500 Hz) optimized pore size distributions

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Fig. 11

Sound absorption coefficient of semi-open cellular metal: comparison amongst uniform, linear, and sole-frequency (2000 Hz) optimized DPO distributions

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Fig. 12

Sound absorption coefficient of semi-open cellular metal: comparison amongst uniform, linear, and frequency-range (2000–2500 Hz) optimized DPO distributions

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Fig. 13

Schematic diagram of crossover in GA method

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Fig. 14

Schematic diagram of mutation in GA method

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