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Introducing the decoupling coating is an effective way to reduce sound radiation from underwater structures. In order to investigate the decoupling mechanism of a viscoelastic coating layer with horizontal cylindrical cavities, such a coating layer is approximated to a homogeneous layer with equivalent material properties, and a theoretical model is also developed to predict the sound radiation from a finite plate with such a decoupling coating layer. #br#The validity of the theoretical model is confirmed by comparison with the finite element method; and the decoupling mechanism of the coating layer is discussed. Numerical analysis shows that: (1) The energy flow across the interface between the plate and coating layer is mainly conveyed by longitudinal waves. (2) At a low frequency, the coating layer has nearly no decoupling effect. (3) In contrast with a homogeneous coating layer, the coating layer with horizontal cavities can greatly enhance the mechanical impedance in the mid- and high-frequency areas; hence the mean square velocity is effectively suppressed in the same area. (4) Compared with the homogeneous coating layer, the coating layer with horizontal cavities has a larger impedance mismatch with water, thus it exhibits great vibration transmission loss. Therefore, in general, the coating layer with horizontal cylindrical cavities has a better decoupling performance than the homogeneous coating layer in the mid- and high-frequency areas.
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Keywords:
- horizontal cavity /
- effective medium method /
- decoupling mechanism /
- underwater sound radiation
[1] 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]
[2] Ivansson S M 2012 J. Acoust. Soc. Am. 131 2622
[3] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wang G, Wen X S 2006 Chin. Phys. Lett. 23 2132
[4] Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T, Sheng P 2000 Science 289 1734
[5] Yang H B, Li Y, Zhao H G, Wen J, Wen X S 2014 Chin. Phs. B 23 104301
[6] L L, Wen J H, Zhao H G, Meng H, Wen X S 2012 Acta Phys. Sin. 61 214301 (in Chinese) [吕林梅, 温激鸿, 赵宏刚, 孟浩, 温熙森 2012 物理学报 61 214301]
[7] House J R C 1991 Proc. I. O. A 13 166
[8] Foin O, Berry A 2000 J. Acoust. Soc. Am. 107 2501
[9] Berry A, Foin O 2001 J. Acoust. Soc. Am. 109 2704
[10] Tao M, Fan J, Tang W 2008 Acta Acoust. 33 220 (in Chinese) [陶猛, 范军, 汤渭霖 2008 声学学报 33 220]
[11] Tao M, Tang W L, Hua H X 2010 J. Vib. Acoust. 132 61001
[12] Wang X Z, Zhang A M, Pang F Z, Yao X L 2014 J. Sound Vib. 333 228
[13] Zhu D W, Huang X C, Wang Y, Xiao F, Hua H 2014 J. Mechanical Engineering Science (in press)
[14] He S, He Y A, Zhang W Q 2014 Acta Acoust. 39 177 (in Chinese) [何世平, 何元安, 张文群 2014 声学学报 39 177]
[15] 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]
[16] Ivansson S M 2014 J. Acoust. Soc. Am. 135 3338
[17] Qiu C Y, Liu Z Y, Mei J, Ke M Z 2005 Solid State Commun. 134 765
[18] Mei J, Liu Z Y, Qiu C Y 2005 J. Phys. :Condens. Matter 17 3735
[19] Auld B A 1973 Acoustic Fields and Waves in Solids(Vol. 2) (New York:John Wiley & Sons) pp25-27
[20] Arfken G B, Weber H J 2005 Mathematical Methods for Physicists (California:Elsevier Academic Press) pp687
[21] Mei J, Liu Z Y, Shi J, Tian D C 2003 Phys. Rev. B 67 245107
[22] Liu Z, Chan C T, Sheng P 2000 Phys. Rev. B 62 2446
[23] Shen H J, Wen J H, Michael P P, Yu D L, Cai L, Wen X S 2013 Modelling Simul. Mater. Sci. Eng 21 65011
[24] Shen H J, Michael P P, Wen J H, Yu D L, Cai L, Wen X S 2012 J. Phys. D:Appl. Phys. 45 285401
[25] Fokin V, Ambati M, Sun C, Zhang X 2007 Phys. Rev. B 76 144302
[26] Brekhovskikh L M 1980 Wave in layered media (New York:Acadamic Press) pp7-9
[27] John B, Fahnline, Gary H K 1991 J. Acoust. Soc. Am. 90 2808
[28] Auld B A 1973 Acoustic Fields and Waves in Solids(Vol. 1) (New York:John Wiley & Sons) pp154-155
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[1] 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]
[2] Ivansson S M 2012 J. Acoust. Soc. Am. 131 2622
[3] Zhao H G, Liu Y Z, Wen J H, Yu D L, Wang G, Wen X S 2006 Chin. Phys. Lett. 23 2132
[4] Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T, Sheng P 2000 Science 289 1734
[5] Yang H B, Li Y, Zhao H G, Wen J, Wen X S 2014 Chin. Phs. B 23 104301
[6] L L, Wen J H, Zhao H G, Meng H, Wen X S 2012 Acta Phys. Sin. 61 214301 (in Chinese) [吕林梅, 温激鸿, 赵宏刚, 孟浩, 温熙森 2012 物理学报 61 214301]
[7] House J R C 1991 Proc. I. O. A 13 166
[8] Foin O, Berry A 2000 J. Acoust. Soc. Am. 107 2501
[9] Berry A, Foin O 2001 J. Acoust. Soc. Am. 109 2704
[10] Tao M, Fan J, Tang W 2008 Acta Acoust. 33 220 (in Chinese) [陶猛, 范军, 汤渭霖 2008 声学学报 33 220]
[11] Tao M, Tang W L, Hua H X 2010 J. Vib. Acoust. 132 61001
[12] Wang X Z, Zhang A M, Pang F Z, Yao X L 2014 J. Sound Vib. 333 228
[13] Zhu D W, Huang X C, Wang Y, Xiao F, Hua H 2014 J. Mechanical Engineering Science (in press)
[14] He S, He Y A, Zhang W Q 2014 Acta Acoust. 39 177 (in Chinese) [何世平, 何元安, 张文群 2014 声学学报 39 177]
[15] 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]
[16] Ivansson S M 2014 J. Acoust. Soc. Am. 135 3338
[17] Qiu C Y, Liu Z Y, Mei J, Ke M Z 2005 Solid State Commun. 134 765
[18] Mei J, Liu Z Y, Qiu C Y 2005 J. Phys. :Condens. Matter 17 3735
[19] Auld B A 1973 Acoustic Fields and Waves in Solids(Vol. 2) (New York:John Wiley & Sons) pp25-27
[20] Arfken G B, Weber H J 2005 Mathematical Methods for Physicists (California:Elsevier Academic Press) pp687
[21] Mei J, Liu Z Y, Shi J, Tian D C 2003 Phys. Rev. B 67 245107
[22] Liu Z, Chan C T, Sheng P 2000 Phys. Rev. B 62 2446
[23] Shen H J, Wen J H, Michael P P, Yu D L, Cai L, Wen X S 2013 Modelling Simul. Mater. Sci. Eng 21 65011
[24] Shen H J, Michael P P, Wen J H, Yu D L, Cai L, Wen X S 2012 J. Phys. D:Appl. Phys. 45 285401
[25] Fokin V, Ambati M, Sun C, Zhang X 2007 Phys. Rev. B 76 144302
[26] Brekhovskikh L M 1980 Wave in layered media (New York:Acadamic Press) pp7-9
[27] John B, Fahnline, Gary H K 1991 J. Acoust. Soc. Am. 90 2808
[28] Auld B A 1973 Acoustic Fields and Waves in Solids(Vol. 1) (New York:John Wiley & Sons) pp154-155
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