Measurement of underwater transfer functions using spatial average and reciprocity principle
CHENG Guo, CHEN Jingbing, HE Lin
1.National Key Laboratory on Ship Vibration & Noise, Naval University of Engineering, Wuhan 430033, China;
2. Institute of Noise and Vibration, Naval University of Engineering, Wuhan 430033, China
The measurement method of reciprocity transfer functions of diffuse sound fields in anomalous reverberant sound fields was proposed. Through reversing actuating points and measuring points in reciprocity measurement, the problems of direct-actuating measurements, such as narrow spaces and friable structures were avoided. Based on the spatial average method, the underwater radiated noise transfer functions of diffuse sound fields were obtained in reverberant sound fields. These transfer functions and the pseudo-force method were used to evaluate the radiated noise of underwater structures. This theory was validated with numerical simulations and a lake test. The results of simulations and tests showed that the proposed method can be applied in complex underwater structures to eliminate the influences of anomalous reverberant sound fields. The resalts provided a reference for further studying the reciprocity principle and the spatial average method.
程果， 陈景兵， 何琳. 基于互易原理和空间平均的水下传递函数测量[J]. 振动与冲击, 2017, 36(3): 151-155.
CHENG Guo, CHEN Jingbing, HE Lin. Measurement of underwater transfer functions using spatial average and reciprocity principle. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(3): 151-155.
[1] 孟春霞，杨士莪，张 亮，等. 船舶辐射噪声源模型的试验验证[J]. 振动与冲击，2009，28(11)：6-8.
MENG Chun-xia, YANG Shi-e, ZHANG Liang, et al. Validity test of radiated noise sources model of ship[J]. Journal of vibration and shock, 2009, 28(11):6-8.
[2] 郭 荣，裘 剡，房怀庆，等. 频域传递路径分析方法(TPA)的研究进展[J]. 振动与冲击，2013，32(13)：49-55.
GUO Rong, QIU Shan, FANG Huai-qing, et al. Advance in studying on transfer path analysis methods in frequency domain[J]. Journal of vibration and shock, 2013, 32(13):49-55.
[3] Ducourneau, J., Planeau V., Chatillon J., et al. Measurement of sound absorption coefficients of flat surfaces in a workshop[J]. Appl Acoust, 2009, 70:710-721.
[4] 尚大晶，李 琪，商德江，等. 水下声源辐射声功率测量实验研究[J]. 哈尔滨工程大学学报，2010，31(7)：938-944.
SHANG Da-jing, LI Qi, SHANG De-jiang, et al. Measurement of the radiated power of sound sources in a reverberation pool[J]. Journal of Harbin Engineering University, 2010, 31(7):938-944.
[5] Ducourneau, J., Faiz A., Khanfir A., et al. Measuring sound scattering coefficients of uneven surfaces in a reverberant workplace Principle and validation of the method[J]. Appl Acoust, 2013, 74:653-660.
[6] 程 果，徐荣武，何 琳，等. 混响声场条件下水声互易传递函数的测量及应用[J]. 声学学报，2014，39(5)：577-581.
CHENG Guo, XU Rong-wu, HE Lin, et al. Application and measurement of underwater acoustic reciprocity transfer functions in reverberant sound field[J]. ACTA ACUSTICA, 2014, 39(5):577-581.
[7] Lubman, D., Waterhouse R V, Chien Chi-Shing. Effectiveness of continuous spatial averaging in a diffuse sound field[J]. J. Acoust. Soc. Am., 1973, 53(2):650-659.
[8] Wolde T. T., Verheij J. W., steenhoek H. F. Reciprocity method for the measurement of mechano-acoustical transfer functions[J]. J. Sound Vib., 1975, 42(1):49-55.
[9] Fahy, F.J. The Vibro-Acoustic Reciprocity Principle and Applications to Noise Control[J]. ACUSTICA, 1995, 81:544-558.
[10] CHENG Guo, XU Rong-wu, HE Lin. Application and measurement of underwater acoustic reciprocity transfer functions with impulse sound sources[C]. Vibroengineering PROCEDIA, 2015, 5:48-52.
[11] Wolde, T.T. Reciprocity measurements in acoustical and mechano-acoustical systems-review of theory and applications[J]. Acta Acustica United with Acustica, 2010, 96: 1-13.
[12] 卢丁丁，何 琳，程 果，等. 评估设备激励特性的虚拟力方法研究[J]. 船舶力学，2013，17(10)：1169-1175.
LU Ding-ding, HE Lin, CHENG Guo. Research on pseudo-forces method used in characterization of machine force[J]. Journal of ship mechanics, 2013, 17(10):1169-1175.
[13] Janssens, M. H. A., Verheij, J. W. A pseudo-forces methodology to be used in characterization of structure-borne sound sources [J]. Applied Acoustics, 2000, 61: 285-308.
