Abstract
A vibro-acoustic effect, in which the classical plate equation is coupled to the acoustic wave equation, was utilised to optimally tune a double-layered flexible micro-perforated panel (MPP), to achieve higher sound absorption coefficient and wider frequency band. The first nine modes considered in the present modelling study were obtained by using the finite element analysis. Results of the vibro-acoustic model, applied to a single layer MPP, were found to be in a good agreement with other published results; thus, the model was used to develop the equivalent electro-acoustical circuit of a double-layered MPP sound absorber. The simulated annealing optimization technique was used to obtain the optimal design parameters of the MPP sound absorber that were needed to achieve the maximal averaged sound absorption coefficient for the frequency band 200–1,000 Hz. The optimized double-layered MPP sound absorber improved the sound absorption coefficient by 8.88–12.52 % compared with the model without the vibro-acoustic effect. Mode (1, 1) was found to dominate the sound absorption performance compared to the other nine mode shapes that were considered in the present study. The effects of configuration, thickness, damping ratio, and boundary condition of the MPP on the sound absorption coefficient were also investigated.
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References
Dah-You M (1998) Potential of micro perforated panel absorber. J Acoust Soc Am 104:2861–2866. doi:10.1121/1.423870
Miasa IM, Okuma M (2007) Theoretical and experimental study on sound absorption of a multi-leaf micro perforated panel. J Syst Des Dynam 1:63–72. doi:10.1299/jsdd.1.63
Lord R (1945) Theory of sound, vol 2. Dover, New York
Crandall IB (1926) Theory of vibrating systems and sound. David Van Nostrand, New York
Dah-You M (1975) Theory and design of micro-perforated panel sound absorbing constructions. Sci Sin 18:38–50
Randeberg R (2000) Perforated panel absorbers with viscous energy dissipation enhanced by orifice design. Ph.D. thesis, Norwegian University of Science and Technology
Yoo T (2008) The modeling of sound absorption by flexible micro-perforated panels. Ph.D. thesis, Purdue University
Sakagami K, Morimoto M, Yairi M (2005) A note on the effect of vibration of a micro perforated panel on its sound absorption characteristics. Acoust Sci Tech 26:204–207. doi:10.1250/ast.26.204
Sakagami K, Morimoto M, Yairi M (2009) A note on the relationship between the sound absorption by microperforated panels and panel/membrane-type absorbers. Appl Acoust 70:1131–1136. doi:10.1016/j.apacoust.2009.03.003
Kang J, Fuchs HV (1999) Predicting the absorption of open weave textiles and micro-perforated membranes backed by an air space. J Sound Vib 220:905–920. doi:10.1006/jsvi.1998.1977
Min S, Nagamura K, Nakagawa N, Okamura M (2013) Design of compact micro-perforated membrane absorbers for polycarbonate pane in automobile. Appl Acoust 74:622–627. doi:10.1016/j.apacoust.2012.05.009
Leissa AW (1993) Vibration of plates. Acoustical Society of America, New York
Sakagami K, Takahashi D, Gen H, Morimoto M (1993) Acoustic properties of an infinite elastic plate with a back cavity. Acta Acust United Ac 78:288–295
Sakagami K, Kiyama M, Morimoto M, Takahashi D (1996) Sound absorption of a cavity-backed membrane: a step towards design method for membrane-type absorbers. Appl Acoust 49:237–247. doi:10.1016/S0003-682X(96)00025-4
Frommhold W, Fuchs HV, Sheng S (1994) Acoustic performance of membrane absorbers. J Sound Vib 170:621–636. doi:10.1006/jsvi.1994.1091
Cox T, D’Antonio P (2009) Acoustic absorbers and diffusers: theory, design and application. Taylor & Francis Group, New York
Ford RD, McCormick MA (1969) Panel sound absorbers. J Sound Vib 10:411–423. doi:10.1016/0022-460X(69)90219-3
Lee YY, Lee EWM, Ng CF (2005) Sound absorption of a finite flexible micro-perforated panel backed by an air cavity. J Sound Vib 287:227–243. doi:10.1016/j.jsv.2004.11.024
Sakagami K, Yairi M, Morimoto M (2010) Multiple-leaf sound absorbers with microperforated panels: an overview. Acoust Aust 38:76–81
Sakagami K, Nakamori T, Morimoto M, Yairi M (2009) Double-leaf microperforated panel space absorbers: A revised theory and detailed analysis. Appl Acoust 70:703–709. doi:10.1016/j.apacoust.2008.09.004
Sakagami K, Morimoto M, Koike W (2006) A numerical study of double-leaf microperforated panel absorbers. Appl Acoust 67:609–619. doi:10.1016/j.apacoust.2005.11.001
Miasa IM, Okuma M, Kishimoto G, Nakahara T (2007) An experimental study of a multi-size microperforated panel absorber. J Syst Des Dynam 1:331–339. doi:10.1299/jsdd.1.331
Liu J, Herrin DW (2010) Enhancing micro-perforated panel attenuation by partitioning the adjoining cavity. Appl Acoust 71:120–127. doi:10.1016/j.apacoust.2009.07.016
Fuchs H (2001) Alternative fibreless absorbers–new tools and materials for noise control and acoustic comfort. Acta Acust 87:414–422
Venkataraman P (2009) Applied optimization with MATLAB programming. Wiley, New York
Haupt RL, Haupt SE (2004) Practical genetic algorithms. Wiley-Interscience, New York
Zhang XH, Zhang JT (2012) Optimization of aluminum foam by simulated annealing. Adv Mat Res 573:1187–1192. doi:10.4028/www.scientific.net/AMR.573-574.1187
Chang YC, Yeh LJ, Chiu MC (2005) Optimization of constrained composite absorbers using simulated annealing. Appl Acoust 66:341–352. doi:10.1016/j.apacoust.2004.07.003
Chiu MC (2009) Optimization of equipment allocation and sound-barriers shape in a multi-noise plant by using simulated annealing. Noise Vib Worldw 40:23–35. doi:10.1260/095745609788921857
Mun S, Cho YH (2009) Noise barrier optimization using a simulated annealing algorithm. Appl Acoust 70:1094–1098. doi:10.1016/j.apacoust.2009.02.004
Chiu MC, Chang YC, Yeh LJ, Lan TS (2007) Optimization of perforated double-layer absorbers using simulated annealing. J Mar Sci Tech 15:351–359
Ruiz H, Cobo P, Jacobsen F (2011) Optimization of multiple-layer microperforated panels by simulated annealing. Appl Acoust 72:772–776. doi:10.1016/j.apacoust.2011.04.010
Takahashi D, Tanaka M (2002) Flexural vibration of perforated plates and porous elastic materials under acoustic loading. J Acoust Soc Am 112:1456–1464. doi:10.1121/1.1497624
Tanaka T, Tatsuhiro K, Kazuki T (2010) Vibro-acoustic behavior of micro-perforated plate for sound absorption performance. In: 20th international congress on acoustics (ICA’10), Sydney
Birari YV, Nadgouda MM (2007) Noise reduction of a reciprocating compressor by adding a resonator in suction path of refrigerant. In: 14th international congress on sound vibration, Cairns
Chad N, Himmel PE (2003) Improvement of through wall air conditioner transmission loss. In: FAN NOISE 2003 international symposium, Senlis
Evansa JB (2009) Reduction of tonal noise in lecture room air conditioning supply ducts. In: Inter noise 2009, Ottawa
Sakagami K, Morimoto M, Yairi M (2007) Recent developments in applications of microperforated panel absorbers. In: 14th international congress on sound vibration, Cairns
Abaqus Analysis User’s Manual V6.9 (2009) Dassault Systèmes Simulia Corp, Providence
Lee YY, Lee EWM (2007) Widening the sound absorption bandwidths of flexible micro-perforated curved absorbers using structural and acoustic resonances. Int J Mech Sci 49:925–934. doi:10.1016/j.ijmecsci.2007.01.008
Bravo T, Maury C, Pinhede C (2012) Vibroacoustic properties of thin micro-perforated panel absorbers. J Acoust Soc Am 132:789–798. doi:10.1121/1.4733555
Zhang X, Wang S, Li H (2011) Sound absorption property of multilayered aluminum foam structure. In: 5th international conference on biomed bioinformatics bioengineering (iCBBE’11)
Sakagami K, Morimoto M, Yairi M, Minemura A (2008) A pilot study on improving the absorptivity of a thick micro perforated panel absorber. Appl Acoust 69:179–182. doi:10.1016/j.apacoust.2006.09.008
Acknowledgments
This study was completed with financial support from the Skim Latihan Akademik IPTA (SLAI), Ministry of Higher Education Malaysia and Universiti Malaysia Perlis (UniMAP). Support from the USM Incentive Grant A/C No. 8021002 is also greatly acknowledged. The authors would also like to express their sincere gratitude to Mr. Baharom Awang, Mr. Wan Muhammad Amri, and Mr. Najib for their assistance in the experimental work in the Vibration Lab.
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Tan, WH., Ripin, Z.M. Optimization of double-layered micro-perforated panels with vibro-acoustic effect. J Braz. Soc. Mech. Sci. Eng. 38, 745–760 (2016). https://doi.org/10.1007/s40430-014-0274-4
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DOI: https://doi.org/10.1007/s40430-014-0274-4