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Chin. Phys. B, 2013, Vol. 22(12): 124601    DOI: 10.1088/1674-1056/22/12/124601

Numerical analysis of the resonance mechanism of the lumped parameter system model for acoustic mine detection

Wang Chi (王驰), Zhou Yu-Qiu (周瑜秋), Shen Gao-Wei (沈高炜), Wu Wen-Wen (吴文雯), Ding Wei (丁卫)
Department of Precision Mechanical Engineering, Shanghai University, Shanghai 200072, China
Abstract  The method of numerical analysis is employed to study the resonance mechanism of the lumped parameter system model for acoustic mine detection. Based on the basic principle of the acoustic resonance technique for mine detection and the characteristics of low-frequency acoustics, the “soil-mine” system could be equivalent to a damping “mass-spring” resonance model with a lumped parameter analysis method. The dynamic simulation software, Adams, is adopted to analyze the lumped parameter system model numerically. The simulated resonance frequency and anti-resonance frequency are 151 Hz and 512 Hz respectively, basically in agreement with the published resonance frequency of 155 Hz and anti-resonance frequency of 513 Hz, which were measured in the experiment. Therefore, the technique of numerical simulation is validated to have the potential for analyzing the acoustic mine detection model quantitatively. The influences of the soil and mine parameters on the resonance characteristics of the soil–mine system could be investigated by changing the parameter setup in a flexible manner.
Keywords:  acoustic mine detection      acoustic–seismic coupling      resonance model  
Received:  23 February 2013      Revised:  19 April 2013      Accepted manuscript online: 
PACS:  46.40.-f (Vibrations and mechanical waves)  
  46.40.Ff (Resonance, damping, and dynamic stability)  
  43.20.+g (General linear acoustics)  
  43.40.+s (Structural acoustics and vibration)  
Fund: Project supported, in part, by the National Natural Science Foundation of China (Grant No. 41104065), the "Chen Guang" Program of Shanghai Municipal Education Commission and Shanghai Education Development Foundation, China (Grant No. 12CG047), the Scientific Research Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 13YZ022), and the State Key Laboratory of Precision Measuring Technology and Instruments, China.
Corresponding Authors:  Wang Chi     E-mail:

Cite this article: 

Wang Chi (王驰), Zhou Yu-Qiu (周瑜秋), Shen Gao-Wei (沈高炜), Wu Wen-Wen (吴文雯), Ding Wei (丁卫) Numerical analysis of the resonance mechanism of the lumped parameter system model for acoustic mine detection 2013 Chin. Phys. B 22 124601

[1] Sabatier J M and Xiang N 2001 IEEE Trans. Geosci. Remote Sensing 39 1146
[2] Xiang N and Sabatier J M 2003 J. Acoust. Soc. Am. 113 1333
[3] Donskoy D, Reznik A, Zagrai A and Ekimov A 2005 J. Acoust. Soc. Am. 117 690
[4] Donskoy D 2008 J. Acoust. Soc. Am. 123 3042
[5] Yu S H, Gandhe A, Witten T R and Mehra R K 2002 Proceedings of SPIE 4742: Detection and Remediation Technologies for Mines and Minelike Targets VⅡ, April 1, 2002, Orlando, Florida, USA, p. 701
[6] Zagrai A, Donskoy D and Ekimov A 2005 J. Acoust. Soc. Am. 118 3619
[7] Wang C, Liu Z G, Li X F, Sun F and Zhang G X 2008 Acta Acustica 33 354 (in Chinese)
[8] Wang C, Li X F, Fu J, Li H Y, Liang G Q and Zhang G X 2008 Opt. Precision Eng. 16 1716 (in Chinese)
[9] Wang C, Yu Y J, Li X F and Liang G Q 2010 Acta Phys. Sin. 59 6319 (in Chinese)
[10] Khan U S, Al-Nuaimy W and El-Samie F E A 2010 J. Vis. Commun. Image R. 21 731
[11] Zabolotskaya E A, Llinskii Y A, Hay T A and Hamilton M F 2012 J. Acoust. Soc. Am. 131 1831
[12] Lancranjan I I, Miclos S, Savastru D, Savastru R and Opran C 2012 Proceedings of SPIE 8433: Laser Sources and Applications, April 16, 2012, Brussels, Belgium, article id. 843315
[13] Mao X, Li G Q, Wang C and Ding W 2012 Prz. Elektrotechniczn 88 162
[14] Biot M A 1956 J. Acoust. Soc. Am. 28 168
[15] Biot M A 1956 J. Acoust. Soc. Am. 28 179
[16] Sabatier J M, Bass H E, Bolen L N, Attenborough K and Sastry V V S S 1986 J. Acoust. Soc. Am. 79 1345
[17] Sabatier J M, Bass H E and Bolen L N 1986 J. Acoust. Soc. Am. 80 646
[18] Robert W H and Kenneth D R 2005 Linc. Lab. J. 15 3
[19] Donskoy D, Ekimov A, Sedunov N and Tsionskiy M 2002 J. Acoust. Soc. Am. 111 2705
[20] Liu X B, Zhang J R and Li P 2012 Chin. Phys. B 21 054301
[21] Huang B, Zhang Y L, Zhang D and Gong X F 2010 Chin. Phys. B 19 054302
[22] Wu D, Tao C, Liu X J and Wang X D 2012 Chin. Phys. B 21 014301
[23] Zheng H P, Jiang Y M, Peng Z and Fu L P 2012 Acta Phys. Sin. 61 214502 (in Chinese)
[24] Zhang Q, Li Y C, Liu R, Jiang Y M and Hou M Y 2012 Acta Phys. Sin. 61 234501 (in Chinese)
[25] Jian X H, Cui Y Y, Xiang Y J and Han Z L 2012 Acta Phys. Sin. 61 217801 (in Chinese)
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