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This paper investigates low-frequency acoustic absorption mechanism of a viscoelastic layer with resonant cylindrical scatterers. The viscoelastic layer is 20 mm-thick, and the cylindrical scatterer is a cylindrical cavity coated with a soft rubber layer, with axis in the lateral layer direction. The absorption properties of the viscoelastic layer under the steel-backing condition are studied using the layer-multiple scattering method. Results show excellent absorption performance in the frequency region of 1000–3000 Hz. The absorption mechanism is investigated by analyzing the absorption cross-section of a single scatterer and the multiple scattering of a periodic array of scatterers, together with the displacement field and power dissipation density. Effects of the resonant absorption of a single scatterer and the coupling resonance between the absorption layer and the steel-backing are revealed.
[1] Ivansson S M 2005 Nonlinear Anal. 63 1541
[2] Ivansson S M 2006 J. Acoust. Soc. Am. 119 3558
[3] Strifors H, Gaunaurd G C 1990 J. Acoust. Soc. Am. 88 901
[4] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wen X S 2007 Acta Phys. Sin. 56 4700 (in Chinese) [赵宏刚, 刘耀宗, 温激鸿, 郁殿龙, 温熙森 2007 物理学报 56 4700]
[5] Hinders M K, Rhodes B A, Fang T M 1995 J. Sound Vib. 185 219
[6] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wang G, Wen X S 2006 Chin. Phys. Lett. 23 2132
[7] Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T, Sheng P 2000 Science 289 1734
[8] Zhao H G, Wen J H, Yu D L, Wen X S 2010 J. Appl. Phys. 107 023519
[9] Wen J H, Zhao H G, Lv L M, Yuan B, Wang G, Wen X S 2011 J. Acoust. Soc. Am. 130 1201
[10] Hladky-Hennion A C, Decarpigny J N 1991 J. Acoust. Soc. Am. 90 3356
[11] Hladky-Hennion A C, Decarpigny J N 1992 J. Acoust. Soc. Am. 92 2878
[12] Tan H B, Zhao H, Xu H T 2003 Acta Acoust. 28 277 (in Chinese) [谭红波, 赵洪, 徐海亭 2003 声学学报 28 277]
[13] 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]
[14] Liu Z Y, Chan C T, Sheng P, Goertzen A L, Page J H 2000 Phys. Rev. B 62 2446
[15] Mei J, Liu Z Y, Qiu C 2005 J. Phys.: Condens. Matter 17 3735
[16] Ivansson S M 2008 J. Acoust. Soc. Am. 124 1974
[17] Bai G F, Liu B L, Sui F S, Liu K, Yang J 2012 Acta Acoust. 37 263 (in Chinese) [白国锋, 刘碧龙, 隋富生, 刘克, 杨军 2012 声学学报 37 263]
[18] Zhao H G 2008 Ph.D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [赵宏刚 2008 博士学位论文 (长沙: 国防科技大学)]
[19] Tao M, Hua H X 2011 Journal of Vibration and Control 0 1
[20] Ivansson S M 2012 J. Acoust. Soc. Am. 131 2622
[21] AULD B A 1973 Acoustic Fields and Waves in Solids (Vol. 2) (New York: John Wiley & Sons) pp25-27
[22] Arfken G B, Weber H J 2005 Mathematical Methods for Physicists (California: Elsevier Academic Press) pp687
[23] Varatharajulu V, Pao Y H 1976 J. Acoust. Soc. Am. 60 556
[24] Vasundara V V 1977 J. Acoust. Soc. Am. 63 1014
[25] AULD B A 1973 Acoustic Fields and Waves in Solids (Vol. 1) (New York: John Wiley & Sons) pp154-155
[26] Tan T H 1976 J. Acoust. Soc. Am. 59 1265
[27] Meng H, Wen J H, Zhao H G, Lv L M 2012 J. Acoust. Soc. Am. 132 69
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[1] Ivansson S M 2005 Nonlinear Anal. 63 1541
[2] Ivansson S M 2006 J. Acoust. Soc. Am. 119 3558
[3] Strifors H, Gaunaurd G C 1990 J. Acoust. Soc. Am. 88 901
[4] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wen X S 2007 Acta Phys. Sin. 56 4700 (in Chinese) [赵宏刚, 刘耀宗, 温激鸿, 郁殿龙, 温熙森 2007 物理学报 56 4700]
[5] Hinders M K, Rhodes B A, Fang T M 1995 J. Sound Vib. 185 219
[6] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wang G, Wen X S 2006 Chin. Phys. Lett. 23 2132
[7] Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T, Sheng P 2000 Science 289 1734
[8] Zhao H G, Wen J H, Yu D L, Wen X S 2010 J. Appl. Phys. 107 023519
[9] Wen J H, Zhao H G, Lv L M, Yuan B, Wang G, Wen X S 2011 J. Acoust. Soc. Am. 130 1201
[10] Hladky-Hennion A C, Decarpigny J N 1991 J. Acoust. Soc. Am. 90 3356
[11] Hladky-Hennion A C, Decarpigny J N 1992 J. Acoust. Soc. Am. 92 2878
[12] Tan H B, Zhao H, Xu H T 2003 Acta Acoust. 28 277 (in Chinese) [谭红波, 赵洪, 徐海亭 2003 声学学报 28 277]
[13] 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]
[14] Liu Z Y, Chan C T, Sheng P, Goertzen A L, Page J H 2000 Phys. Rev. B 62 2446
[15] Mei J, Liu Z Y, Qiu C 2005 J. Phys.: Condens. Matter 17 3735
[16] Ivansson S M 2008 J. Acoust. Soc. Am. 124 1974
[17] Bai G F, Liu B L, Sui F S, Liu K, Yang J 2012 Acta Acoust. 37 263 (in Chinese) [白国锋, 刘碧龙, 隋富生, 刘克, 杨军 2012 声学学报 37 263]
[18] Zhao H G 2008 Ph.D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [赵宏刚 2008 博士学位论文 (长沙: 国防科技大学)]
[19] Tao M, Hua H X 2011 Journal of Vibration and Control 0 1
[20] Ivansson S M 2012 J. Acoust. Soc. Am. 131 2622
[21] AULD B A 1973 Acoustic Fields and Waves in Solids (Vol. 2) (New York: John Wiley & Sons) pp25-27
[22] Arfken G B, Weber H J 2005 Mathematical Methods for Physicists (California: Elsevier Academic Press) pp687
[23] Varatharajulu V, Pao Y H 1976 J. Acoust. Soc. Am. 60 556
[24] Vasundara V V 1977 J. Acoust. Soc. Am. 63 1014
[25] AULD B A 1973 Acoustic Fields and Waves in Solids (Vol. 1) (New York: John Wiley & Sons) pp154-155
[26] Tan T H 1976 J. Acoust. Soc. Am. 59 1265
[27] Meng H, Wen J H, Zhao H G, Lv L M 2012 J. Acoust. Soc. Am. 132 69
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