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It can be a difficult problem to precisely predict the sound field radiated from a finite elastic structure in shallow water channel because of its strong coupling with up-down boundaries and the fluid medium, whose sound field cannot be calculated directly by current methods, such as Ray theory, normal mode theory and other different methods, which are adaptable to sound fields from idealized point sources in waveguide. So far, there is no reliable prediction method to solve this kind of problem. A combined wave superposition method is proposed for such a problem, which combines the traditional wave superposition method with the transfer function in shallow water channel and the multi-physics field coupling numerical model. This method mainly consists of three sections:1) obtaining the normal velocity on the elastic structure surface in shallow water channel by the finite element method (FEM), whose FEM model includes the up-down boundaries and the completely absorbent sound boundaries in the horizontal direction; 2) getting the equivalent point source strength by traditional wave superposition method; 3) calculating the total sound field by adding up each point source field which is obtained by normal mode method. This method is verified by numerical simulation and theoretical analysis by using an imaginary and elastic spherical sound source respectively, and the results demonstrate that the method is valid and has high precision and calculating efficiency. The acoustic radiation characteristics from elastic cylindrical shells is investigated for different acoustic radiation sources, ocean environments and measurements. The cylindrical shell material is steel, whose radius and length are 3 m and 30 m respectively. The shallow water channel is an ideal waveguide with 50 m in depth, at the upper boundary, i.e., the free surface, the lower boundary is the Neumann boundary, i.e., the normal derivative of the acoustic pressure should be zero. The analysis frequency range is from 30 Hz to 200 Hz. The results show that due to a significant coupling effect of up-down direction boundaries on the sound field, the elastic structure can be equivalent to the point source only in low frequency and far field. The spatial field directivity distribution is more obvious at high frequency. The acoustic power measured by vertical line arrayis greatly influenced by ocean boundary and the depth of target.
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Keywords:
- shallow water channel /
- elastic cylindrical shells /
- combined wave superposition /
- acoustic radiation characteristics
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[1] Zhang Y G 2014 The Effect and Application of Acoustic Photoelectric Waveguide (Beijing:Publishing House of Electronics Industry) pp117-125 (in Chinese)[张永刚 2014 海洋声光电波导效应及应用(北京:电子工业出版社) 第117125 页]
[2] Koopmann G H, Song L, Fahnline J B 1989 J. Acoust Soc. Am. 86 2433
[3] Miller R D, Moyer Jr E T M, Huang H, berall H 1991 J. Acoust Soc. Am. 89 2185
[4] Fahnline J B, Koopmann G H 1991 J. Acoust Soc. Am. 90 2808
[5] Jeans R, Mathews I C 1992 J. Acoust Soc. Am. 92 1156
[6] Yu F, Chen X Z, Li W B, Chen J 2004 Acta Phys. Sin. 53 2607 (in Chinese)[于飞, 陈心昭, 李卫兵, 陈剑 2004 物理学报 53 2607]
[7] Li W B, Chen J, Bi C X, Chen X Z 2006 Acta Phys. Sin. 55 1264 (in Chinese)[李卫兵, 陈剑, 毕传兴, 陈心昭 2006 物理学报 55 1264]
[8] Xiong J S, Wu C J, Xu Z Y, Zeng G W 2011 Chin. J. Ship Res. 6 41 (in Chinese)[熊济时, 吴崇健, 徐志云, 曾革委 2011 中国舰船研究 6 41]
[9] Li J Q, Chen J, Yang C, Jia W Q 2008 Acta Phys. Sin. 57 4258 (in Chinese)[李加庆, 陈进, 杨超, 贾文强 2008 物理学报 57 4258]
[10] Chen H Y, Shang D J, Li Q, Liu Y W 2013 Acta Acoust 38 137 (in Chinese)[陈鸿洋, 商德江, 李琪, 刘永伟 2013 声学学报 38 137]
[11] Zhan G Q, Mao R F 2016 J. Nav. Univ. Eng. 28 4 (in Chinese)[詹国强, 毛荣富 2016 海军工程大学学报 28 4]
[12] Gao Y, Cheng H, Chen J 2008 Trans. Chin. Soc. Agric. Mach. 39 173 (in Chinese)[高煜, 程昊, 陈剑 2008 农业机械学报 39 173]
[13] Wang Y M 2013 Ph. D. Dissertation (Harbin:Harbin Engineering University) (in Chinese)[王玉明 2013 博士学位论文(哈尔滨:哈尔滨工程大学)]
[14] Pan H J, Li J Q, Chen J, Zhang G C, Liu X F 2006 China Mech. Eng. 17 733 (in Chinese)[潘汉军, 李加庆, 陈进, 张桂才, 刘先锋 2006 中国机械工程 17 733]
[15] Bai Z G, Wu W W, Zuo C K, Zhang F, Xiong C X 2014 J. Shi. Mech. 1-2 178 (in Chinese)[白振国, 吴文伟, 左成魁, 张峰, 熊晨熙 2014 船舶力学 12 178]
[16] Zou Y J, Zhao D Y 2004 J. Vib. Eng. 17 269 (in Chinese)[邹元杰, 赵德有 2004 振动工程学报 17 269]
[17] Wang P, Li T Y, Zhu X 2017 J. Ocean Eng. 142 280
[18] Zhang R H, He Y, Liu H, Akulichev V A 1995 J. Sound Vib. 184 439
[19] Qin J X, Boris K, Peng Z H, Li Z L, Zhang R H, Luo W Y 2016 Acta Phys. Sin. 65 034301 (in Chinese)[秦继兴, Boris K, 彭朝晖, 李整林, 张仁和, 骆文于 2016 物理学报 65 034301]
[20] Luo W Y, Yu X L, Yang X F, Zhang Z Z, Zhang R H 2016 Chin. Phys. B 25 124309
[21] Porter M B, Bucker H P 1987 J. Acoust Soc. Am. 82 1349
[22] Etter P C (translated by Cai Z M) 2005 Underwater Acoustics Modeling and Simulation (3rd Ed.) (Beijing:Publishing House of Electronics Industry) pp83-88 (in Chinese)[埃特 著 (蔡志明 译) 2005 水声建模与仿真(第3版) (北京:电子工业出版社) 第8388页]
[23] Brekhovskikh L M, Lysanov Y P 2004 Fundamentals of Ocean Acoustics (3th Ed.) (New York:Acoustics Springer) pp72-114
[24] Marburg S, Nolte B 2008 Computational Acoustics of Noise Propagation in Fluids-Finite and Boundary Element Methods (New York:Acoustics Springer) pp166-178
[25] Jackson D R, Richardson M D (translated by Liu B H, Kan G M, Li G B) 2014 High-Frequency Seafloor Acoustics (Beijing:Ocean Press) pp240-260 (in Chinese)[杰克森, 理查德森 著(刘保华, 阚光明, 李官保 译) 2014 高频海底声学(北京:海洋出版社) 第240260 页]
[26] Weston D E 1963 Radio Ele. Eng. 26 329
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