1. 中南大学CAD/CAM研究所, 湖南长沙, 410075
2. 长沙理工大学汽车与机械工程学院，湖南 长沙 410114
3. Division of Mechanical and Automotive Engineering, Wonkwang University, Iksan, Jonbuk 570-749, Republic of Korea
Determination of materials nonlinear parameter based on diffraction and attenuation corrections
Li Xiong-Bing1 Zhang Shu-Zeng1 Hu Hong-Wei2 Hyunjo Jeong3 Sungjong Cho3
1. CAD/CAM Institute, Central South University, Changsha 410075, China
2. College of Automobile and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410114, China
3. Division of Mechanical and Automotive Engineering, Wonkwang University,Iksan, Jonbuk 570-749, Republic of Korea
A more precise approach to determine nonlinear acoustic parameter of material using finite amplitude method is proposed based on the diffraction and attenuation corrections. Developed from KZK equation, the fundamental and second harmonic sound fields generated by finite size transducer are described as the combination of plane wave solutions, attenuation and diffraction corrections, in which, the diffraction corrections can be calculated using 25 groups of Gaussian beam models quickly and accurately. Attenuation coefficients of fundamental and second harmonic are extracted based on nonlinear least squares curves-fitting method, which can be used to conduct more effective attenuation corrections. With these diffraction and attenuation corrections, the measured fundamental and second harmonic sound pressures are adjusted to reduce the impact on measuring from field spreading and sound energy losing, and the measured results are more accurate. The of water is investigated in experiment, the results show that the errors of measured values are controlled in 5% using the proposed approach. In addition, it is also proven that the proposed approach is independent of the measuring distance which is an effective tool to improve the precision of measuring nonlinear parameter.
收稿日期: 2015-05-12
出版日期: 2016-08-15
引用本文:
李雄兵1 张书增1 胡宏伟2 Jeong Hyunjo 3 Cho Sungjong 3. 衍射和衰减修正下材料非线性系数的检测方法[J]. 振动与冲击, 2016, 35(16): 12-16.
Li Xiong-Bing1 Zhang Shu-Zeng1 Hu Hong-Wei2 Hyunjo Jeong3 Sungjong Cho3. Determination of materials nonlinear parameter based on diffraction and attenuation corrections. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(16): 12-16.
[1] 周正干, 刘斯明. 非线性无损检测技术的研究、应用和发展[J]. 机械工程学报, 2011, 47(8): 2-11.
ZHOU Zheng-gan, LIU Si-ming. Nonlinear Ultrasonic Techniques Used in Nondestructive Testing: A Review[J]. Chinese Journal of Mechanical Engineering, 2011, 47(8): 2-11.
[2] JHANG K Y. Nonlinear Ultrasonic Techniques for Nondestructive Assessment of Micro Damage in Material: A Review[J]. International Journal of Precision Engineering and Manufacturing. 2009, 10(1): 123-135.
[3] 陈振华, 史耀武, 赵海燕, 等. 微小缺陷的非线性超声检测及其成像技术[J]. 声学学报, 2010, 35(1): 9-13.
CHEN Zhen-hua, SHI Yao-wu, ZHAO Hai-yan, et al. Nonlinear ultrasonic testing and imaging for tiny flaw[J]. ACTA Acustica, 2010, 35(1): 9-13.
[4] 吴斌, 颜丙生. 非线性超声检测镁合金疲劳的仿真和试验[J]. 振动、测试与诊断, 2012, 32 (1): 96-100.
WU Bin, YAN Bing-sheng. Simulation and experiment of fatigue damage measurement in Magnesium alloy using nonlinear ultrasonic[J]. Journal of Vibration, Measurement & Diagnosis, 2012, 32(1): 96-100.
[5] 周正干, 刘斯明. 铝合金初期塑性变形与疲劳损伤的非线性超声无损评价方法[J]. 机械工程学报, 2011, 47(8): 41-49.
ZHOU Zheng-gan, LIU Si-ming. Nondestructive evaluation of early stage plasticity and fatigue damage of Aluminum alloy using nonlinear ultrasonic method[J]. Chinese Journal of Mechanical Engineering, 2011, 47(8): 41-49.
[6] 朱建军, 李海森, 魏玉阔, 等. 矩形孔径参量阵相控非线性声场建模与实验研究[J]. 振动与冲击, 2015, 34(12): 23-28.
ZHU Jian-jun, LI Hai-sen1, WEI Yu-kuo, et al. Modeling and Experimental Research on Rectangular Aperture Parametric Array Phased Nonlinear Acoustic Field[J]. Journal of Vibration and Shock, 2015, 34(12): 23-28.
[7] PANTEA C, OSTERHOUDT C F, Sinha D N. Determination of acoustic nonlinear parameter of water using the finite amplitude method[J]. Ultrasonics, 2013, 53: 1012-1019.
[8] Best S R, Croxford A J, Neild S. Modeling harmonic genetation measurements in solids[J]. Ultrasonics, 2014, 54: 442-450
[9] Williams A O. The piston source at high frequencies[J]. Journal of the acoustic society of America. 1951,23(1): 1-6
[10] Rogers P H, Van Buren A L. An exact expression for Lommel diffraction correction integral[J]. Journal of the acoustic society of America. 1974, 55(4): 724-728
[11] Ingenito F, Williams A O. Calculation of second-harmonic generation in a piston beam[J]. Journal of the acoustic society of America. 1971,49(1): 319-328
[12] COBB W N. Finite-amplitude method for determination of the acoustic nonlinearity parameter B/A[J]. Journal of the Acoustical Society of America, 1983, 73(5): 1525-1531
[13] Hurley D C, Fortunko C M. Determination of the nonlinear ultrasonic parameter using a Michelson interferometer[J]. Measurement Sciece & technology. 1997, 8: 634-642
[14] Hamilton M F, Blackstock D T, Nonlinear Acoustic (America: Academic Press).
[15] Wen J J, Breazeale M A. A diffraction beam field expressed as the superposition of Gaussian beam[J]. Journal of the Acoustical Society of America, 1988, 83(5): 1752-1756
[16] Kim H J, Schmerr L W, Sedov A, Generation of basis set for multi-Gaussian beam models – An overview[J]. Journal of the Acoustical Society of America, 2006, 119(4): 1971-1978
[17] SCHMERR L W, SONG S J. Ultrasonic nondestructive evaluation systems models measurement[M]. American: Springer, 2007.
[18] Dace G E. Measuement of the acoustic harmonic generation for materials characterization using contact transducers[C]. Review of Progress in Quantitative Nondestructive Evaluation 1992: 2069-2076
