弹性管中泡群内气泡的非线性声响应

王成会; 程建春

doi:10.7498/aps.63.134301

摘要

将弹性管壁视为膜弹性结构，得到了管径较大弹性管中泡群内气泡弱非线性振动的动力学模型. 利用逐级近似法对气泡的非线性共振频率、基频振动响应特性进行了理论分析. 结果表明：气泡共振频率主要受泡群内气泡间相互作用的影响；气泡的非线性共振频率将发生偏移，其偏移量取决于共振响应振幅；气泡的声响应区存在最大频率值；在声响应的高频率区内声响应幅值有多值性.

关键词:

Based on the hypothesis that the wall of an elastic tube can be described as a membrane-type elastic structure, the coupled oscillation in a system of bubble clusters and local position of the elastic wall is explored, and the model of the nonlinear oscillation of bubbles is developed. According to the successive approximation method, the nonlinear resonance frequencies the and forced oscillation are analyzed theoretically. Results indicate that the resonance frequency of bubbles is mainly affected by the interaction of bubbles in clusters. Furthermore, there is a maximum frequency of ultrasound that will excite vibrations of the bubbles in clusters, and the response of multi-valued amplitudes exists in the region of high frequency.

Keywords:

作者及机构信息

王成会^1,2,
程建春²

1.
陕西师范大学陕西省超声重点实验室, 西安 710062;

2.
南京大学声学研究所, 南京 210093

基金项目: 国家自然科学基金（批准号：11074159，11174138，81127901，11174139，11204168，11374199）资助的课题.

Authors and contacts

1.
Key Ultrasonic Laboratory of Shaanxi Provice, Shaanxi Normal University, Xi'an 710062, China;

2.
Institute of Acoustics, Nanjing University, Nanjing 210093, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074159, 11174138, 81127901, 11174139, 11204168, 11374199).

参考文献

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[2]	Khokhlova T D, Canney M S, Khokhlova V A, Sapozhnikov O A, Crum L A, Bailey M R 2011 J. Acoust. Soc. Am. 130 3498
[3]	Li T, Liu Z 2010 Medical Hypotheses 74 679
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[21]	Ida M 2009 Phys. Rev. E 79 016037
[22]	Zhang Y L, Zheng H R, Tang M X, Zhang D 2011 Chin. Phys. B 20 114302
[23]	Jiang L, Liu F, Chen H S, Wang J D, Chen D R 2012 Phys. Rev. E 85 036312
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[25]	Wang C H, Cheng J C 2013 Chin. Phys. B 22 014304
[26]	An Y 2012 Phys. Rev. E 85 016305
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施引文献

[1]	Yao L, Song Q, Bai W, Zhang J, Miao D, Jiang M, Wang Y, Shen z, Hu Q, Gu X, Huang M, Zheng G, Gao X, Hu B, Chen J, Chen H 2014 Biomaterials 35 3384
[2]	Khokhlova T D, Canney M S, Khokhlova V A, Sapozhnikov O A, Crum L A, Bailey M R 2011 J. Acoust. Soc. Am. 130 3498
[3]	Li T, Liu Z 2010 Medical Hypotheses 74 679
[4]	Cancelos S, Moraga F J, Lahey R T, Shain W, Parsons R H 2010 J. Acoust. Soc. Am. 128 2726
[5]	Qin S P, Ferrara K W 2007 Ultrasound Med. Biol. 33 1140
[6]	Miao H Y, Gracewski S M, Dalecki D 2009 J. Acoust. Soc. Am. 126 2374
[7]	Wang X, Chen H, Zheng Y, Ma M, Chen Y, Zhang K, Zeng D, Shi J 2013 Biomaterials 34 2057
[8]	Freund J B 2008 J. Acoust. Soc. Am. 123 2867
[9]	Gao F R, Hu Y T, Hu H P 2007 Int. J. Solids Struct. 44 7197
[10]	Zhen H R, Dayton P A, Caskey C, Zhao S K, Qin S P, Ferrara K W 2007 Ultrasound Med. Biol. 33 1978
[11]	Leighton T G, White P R, Marsden M A 1995 Acta. Acust. 3 517
[12]	Oguz H N, Prosperetti A 1988 J. Acoust. Soc. Am. 103 3301
[13]	Sassaroli E, Hynynen K 2004 J. Acoust. Soc. Am. 115 3235
[14]	Martynov S, Stride E, Saffari N 2009 J. Acoust. Soc. Am. 126 2963
[15]	Wang C H, Cheng J C 2012 Acta. Phys. Sin. 61 194303 (in Chinese)[王成会, 程建春 2012 61 194303]
[16]	Wang C H, Cheng J C 2013 Acta. Phys. Sin. 62 114301 (in Chinese)[王成会, 程建春 2013 62 114301]
[17]	Wang C H, Cheng J C 2013 Sci. Sin-Phys. Mech. Astron. 43 230 (in Chinese) [王成会, 程建春 2013 中国科学 43 230]
[18]	Jang N W, Gracewski S M, Abrahamsen B, Buttaccio T, Halm Robert, Dalecki D 2009 J. Acoust. Soc. Am. 126 EL34
[19]	Sadighi-Bonabi R, Rezaee N, Ebrahimi H and Mirheydari M 2010 Phys. Rev. E 82 016316
[20]	Rezaee N, Sadighi-Bonabi R, Mirheydari M, Ebrahimi H 2011 Chin. Phys. B 20 087804
[21]	Ida M 2009 Phys. Rev. E 79 016037
[22]	Zhang Y L, Zheng H R, Tang M X, Zhang D 2011 Chin. Phys. B 20 114302
[23]	Jiang L, Liu F, Chen H S, Wang J D, Chen D R 2012 Phys. Rev. E 85 036312
[24]	Hu J, Lin S Y, Wang C H, Li J 2013 Acta. Phys. Sin. 62 134303 (in Chinese)[胡静, 林书玉, 王成会, 李锦 2013 62 134303]
[25]	Wang C H, Cheng J C 2013 Chin. Phys. B 22 014304
[26]	An Y 2012 Phys. Rev. E 85 016305
[27]	An Y 2011 Phys. Rev. E 84 066313
[28]	Martynov S, Stride E, Saffari N 2009 J. Acoust. Soc. Am. 126 2963
[29]	Landau L D, Lifshitz E M 1976 Mechanics (Third Edition) (London: Pergamon Press) p58
[30]	Chen H, Kreider A, Brayman A A, Bailey M R, Matula T J 2011 Phys. Rev. L 106 034301

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