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The finite element method is introduced to investigate the absorption of a rubber slab (20 mm thick) with one layer of cylindrical cavities. It has a lower frequency absorption peak than that with spherical cavity in the same size, which is determined by the monopole resonance of cavities. Analysis of partial wave scattering verifies that the absorption peak is induced by the monopole resonance. Power dissipation density and displacement pattern of one unit cell is used to clarify intuitively the absorption mechanism of the cavity. Then the effect of damping of transverse modulus on the absorption is investigated under the condition of a steel backing. Both the physical and structural parameters of the rubber slab are optimized by a genetic algorithm for favorable absorption from 1.5 to 10 kHz.
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Keywords:
- Mie scattering /
- finite element method /
- cylindrical cavity /
- acoustic absorption
[1] Gaunaurd G C, Barlow J 1984 J. Acoust. Soc. Am. 75 23
[2] Liang B, Zou X Y, Cheng J C 2008 J. Acoust. Soc. Am. 124 1419
[3] Hinders M K, Rhodes B A, Fang T M 1995 J. Sound Vib. 185 219
[4] Zhao H G, Liu Y Z, Yu D L, Wang G, Wen J H, Wen X S 2007 J. Sound Vib. 303 185
[5] Baird A M, Kerr F H, Townend D J 1999 J. Acoust. Soc. Am. 105 1527
[6] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wen X S 2007 J. Appl. Phys. 101 123518
[7] Yu L G, Li Z H, Wang R Q, Ma L L 2013 Acta Phys. Sin. 62 064301 (in Chinese)[于利刚, 李朝晖, 王仁乾, 马黎黎 2013 物理学报 62 064301]
[8] Ivansson S M 2012 J. Acoust. Soc. Am. 131 2622
[9] Zhao H G, Liu Y Z, Wen J H, Yu D L, and Wen X S 2006 Acta Phys. Sin. 55 4700 (in Chinese) [赵宏刚, 刘耀宗, 温激鸿, 郁殿龙, 温熙森 2006 物理学报 55 4700]
[10] Tang W L, He S P, Fan J 2005 Acta Acoust. 30 289 (in Chinese)[汤渭霖, 何世平, 范军 2005 声学学报 30 289]
[11] Hladky-Hennion A C, Decarpigny J N 1991 J. Acoust. Soc. Am. 90 3356
[12] Liu Z Y, Zhang X, Mao Y W, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734
[13] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wang G, Wen X S 2006 Chin. Phys. Lett. 23 2132
[14] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wen X S 2007 Phys. Lett. A 367 224
[15] Zhao H G, Wen J H, Yu D L, Wen X S 2010 J. Appl. Phys. 107 023519
[16] Zhao H G, Wen J H, Yang H B, Lv L M, Wen X S 2014 Appl. Acoust. 76 48
[17] Wen J H, Zhao H G, Lv L M, Yuan B, Wang G, Wen X S 2011 J. Acoust. Soc. Am. 130 1201
[18] L L M, Wen J H, Zhao H G, Meng H, Wen X S 2012 Acta Phys. Sin. 61 214302 (in Chinese)[吕林梅, 温激鸿, 赵宏刚, 孟浩, 温熙森 2012 物理学报 61 214302]
[19] Jiang H, Wang Y R, Zhang M L, Hu Y P, Lan D, Zhang Y M, Wei B C 2009 Appl. Phys. Lett. 95 104101
[20] Jiang H, Wang Y R, Zhang M L, Hu Y P, Lan D, Wu Q L, Lu H T 2010 Chin. Phys. B 19 026202
[21] Mei J, Liu Z Y, Qiu C 2005 J. Phys.: Condens. Matter 17 3735
[22] Yang H B, Li Y, Zhao H G, Wen J H, Wen X S 2013 Acta Phys. Sin. 62 154301 (in Chinese)[杨海滨, 李岳, 赵宏刚, 温激鸿, 温熙森 2013 物理学报 62 154301]
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[1] Gaunaurd G C, Barlow J 1984 J. Acoust. Soc. Am. 75 23
[2] Liang B, Zou X Y, Cheng J C 2008 J. Acoust. Soc. Am. 124 1419
[3] Hinders M K, Rhodes B A, Fang T M 1995 J. Sound Vib. 185 219
[4] Zhao H G, Liu Y Z, Yu D L, Wang G, Wen J H, Wen X S 2007 J. Sound Vib. 303 185
[5] Baird A M, Kerr F H, Townend D J 1999 J. Acoust. Soc. Am. 105 1527
[6] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wen X S 2007 J. Appl. Phys. 101 123518
[7] Yu L G, Li Z H, Wang R Q, Ma L L 2013 Acta Phys. Sin. 62 064301 (in Chinese)[于利刚, 李朝晖, 王仁乾, 马黎黎 2013 物理学报 62 064301]
[8] Ivansson S M 2012 J. Acoust. Soc. Am. 131 2622
[9] Zhao H G, Liu Y Z, Wen J H, Yu D L, and Wen X S 2006 Acta Phys. Sin. 55 4700 (in Chinese) [赵宏刚, 刘耀宗, 温激鸿, 郁殿龙, 温熙森 2006 物理学报 55 4700]
[10] Tang W L, He S P, Fan J 2005 Acta Acoust. 30 289 (in Chinese)[汤渭霖, 何世平, 范军 2005 声学学报 30 289]
[11] Hladky-Hennion A C, Decarpigny J N 1991 J. Acoust. Soc. Am. 90 3356
[12] Liu Z Y, Zhang X, Mao Y W, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734
[13] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wang G, Wen X S 2006 Chin. Phys. Lett. 23 2132
[14] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wen X S 2007 Phys. Lett. A 367 224
[15] Zhao H G, Wen J H, Yu D L, Wen X S 2010 J. Appl. Phys. 107 023519
[16] Zhao H G, Wen J H, Yang H B, Lv L M, Wen X S 2014 Appl. Acoust. 76 48
[17] Wen J H, Zhao H G, Lv L M, Yuan B, Wang G, Wen X S 2011 J. Acoust. Soc. Am. 130 1201
[18] L L M, Wen J H, Zhao H G, Meng H, Wen X S 2012 Acta Phys. Sin. 61 214302 (in Chinese)[吕林梅, 温激鸿, 赵宏刚, 孟浩, 温熙森 2012 物理学报 61 214302]
[19] Jiang H, Wang Y R, Zhang M L, Hu Y P, Lan D, Zhang Y M, Wei B C 2009 Appl. Phys. Lett. 95 104101
[20] Jiang H, Wang Y R, Zhang M L, Hu Y P, Lan D, Wu Q L, Lu H T 2010 Chin. Phys. B 19 026202
[21] Mei J, Liu Z Y, Qiu C 2005 J. Phys.: Condens. Matter 17 3735
[22] Yang H B, Li Y, Zhao H G, Wen J H, Wen X S 2013 Acta Phys. Sin. 62 154301 (in Chinese)[杨海滨, 李岳, 赵宏刚, 温激鸿, 温熙森 2013 物理学报 62 154301]
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