Nonlinear Detection and Quantitative Analysis of Electromagnetic Ultrasonic Lamb Wave Mixing for Aluminum with Micro Crack
Liu Suzhen1,2, Yang Shengzhe1,2, Yuan Luhang1,2, Zhang Chuang1,2, Jin Liang1,2
1. State Key Laboratory of Reliability and Intelligence of Electrical Equipment Hebei University of Technology Tianjin 300130 China; 2. Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province Hebei University of Technology Tianjin 300130 China
Abstract：The detection of early micro crack is the key to structural failure analysis. In this paper, the method of Lamb waves mixing in electromagnetic ultrasound was used, considering the characteristics of interface respiration of micro crack. Based on the spring model and considering the hysteresis effect and damping force of the micro crack interface, a three-dimensional Lamb wave mixing nonlinear detection model with micro crack was established to simulate the micro crack at the action of mixed ultrasonic. The nonlinear interaction between mixing ultrasonic and micro crack interface was analyzed, and the influence of micro crack length and depth on mixing modulation effect was studied. Finally, an electromagnetic ultrasonic wave mixing nonlinear detection system was built. According to the different sensitivities of difference frequency and sum frequency nonlinear coefficients to the variation on micro crack length, a comprehensive coefficient factor was defined to quantitatively analyze the length of micro cracks. Based on the experimental data, the relationship between the comprehensive coefficient factor and the micro crack length was obtained, and the micro crack length was predicted. The experimental results show that the comprehensive coefficient factor can effectively predict the micro crack length.
刘素贞, 杨圣哲, 袁路航, 张闯, 金亮. 含微裂纹铝材的电磁超声Lamb波混频非线性检测及量化分析[J]. 电工技术学报, 2021, 36(17): 3639-3648.
Liu Suzhen, Yang Shengzhe, Yuan Luhang, Zhang Chuang, Jin Liang. Nonlinear Detection and Quantitative Analysis of Electromagnetic Ultrasonic Lamb Wave Mixing for Aluminum with Micro Crack. Transactions of China Electrotechnical Society, 2021, 36(17): 3639-3648.
[1] 刘素贞, 田钰霖, 张闯, 等. 铝合金拉伸塑性变形的非线性电磁超声检测[J]. 电工技术学报, 2020, 35(15): 3153-3160. Liu Suzhen, Tian Yulin, Zhang Chuang, et al.Nonlinear electromagnetic acoustic detection of aluminum alloys with tensile plastic deformation[J]. Transactions of China Electrotechnical Society , 2020, 35(15): 3153-3160. [2] 张闯, 曹晓琳, 刘素贞, 等. 基于累积效应的铝材塑性损伤电磁超声非线性检测[J]. 电工技术学报, 2019, 34(19): 3961-3967. Zhang Chuang, Cao Xiaolin, Liu Suzhen, et al.Electromagnetic ultrasonic nonlinear detection of aluminum with plastic damage based on cumulative effect[J]. Transactions of China Electrotechnical Society, 2019, 34(19): 3961-3967. [3] 门平, 董世运, 康学良, 等. 材料早期损伤的非线性超声诊断[J]. 仪器仪表学报, 2017, 38(5): 1101-1118. Men Ping, Dong Shiyun, Kang Xueliang, et al.Material early damage diagnosis with nonlinear ultrasound[J]. Chinese Journal of Scientific Instrument, 2017, 38(5): 1101-1118. [4] 焦敬品, 樊仲祥, 吴斌, 等. 结构微裂纹混频非线性超声检测方法研究[J]. 声学学报, 2013, 38(6): 648-656. Jiao Jingpin, Fan Zhongxiang, Wu Bin, et al.A frequency-mixing nonlinear ultrasonic technique for micro-crack detection[J]. Acta Acustica, 2013, 38(6): 648-656. [5] Cliff J Lissenden, Liu Yang, Vamshi K Chillara, et al.Nonlinear guided wave mixing for localized material state characterization[J]. Physics Proceda, 2015, 70: 668-671. [6] 苑博, 税国双, 汪越胜. 非线性超声混频检测技术在无损检测中的研究进展[J]. 机械工程学报, 2019, 55(16): 33-46. Yuan Bo, Shui Guoshuang, Wang Yuesheng.Advances in research of nonlinear ultrasonic wave mixing detection technology in non-destructive evaluation[J]. Journal of Mechanical Engineering, 2019, 55(16): 33-46. [7] 刘素贞, 王淑娟, 张闯, 等. 钢板电磁超声表面波的仿真分析及缺陷定量检测[J]. 电工技术学报, 2020, 35(1): 97-105. Liu Suzhen, Wang Shujuan, Zhang Chuang, et al.Simulation analysis of electromagnetic acoustic surface wave of steel plate and quantitative defect detection[J]. Transactions of China Electrotechnical Society, 2020, 35(1): 97-105. [8] 孙文秀, 刘国强, 夏慧, 等. 非铁磁材料的电磁超声接收过程数值模拟及实验研究[J]. 电工技术学报, 2018, 33(19): 4443-4449. Sun Wenxiu, Liu Guoqiang, Xia Hui, et al.Numerical simulation and experimental study of electromagnetic acoustic transducer receiving process in non-ferromagnetic materials[J]. Transactions of China Electrotechnical Society, 2018, 33(19): 4443-4449. [9] 金亮, 寇晓斐, 郭富坤, 等. 基于电磁超声换能器的铁磁材料电磁声发射检测方法[J]. 电工技术学报, 2017, 32(18): 98-105. Jin Liang, Kou Xiaofei, Guo Fukun, et al.Electromagnetic acoustic emission detection method of ferromagnetic materials based on EMAT[J]. Transactions of China Electrotechnical Society, 2017, 32(18): 98-105. [10] Lee D J, Cho Y, Li Weibin.A feasibility study for lamb wave mixing nonlinear technique[C]//AIP Conference Proceedings, 2014, 1581(1): 662-666. [11] Li Feilong, Zhao Youxuan, Cao Peng, et al.Mixing of ultrasonic Lamb waves in thin plates with quadratic nonlinearity[J]. Ultrasonics, 2018, 87: 33-43. [12] Zhu Weiguang, Li Yifeng, Guan Liqiang, et al.Micro-crack detection of nonlinear Lamb wave propagation in three-dimensional plates with mixed-frequency excitation[J]. Chinese Physics B, 2020, 29(1): 014302. [13] Ding Xiangyan, Zhao Youxuan, Deng Mingxi, et al.One-way Lamb mixing method in thin plates with randomly distributed micro-cracks[J]. International Journal of Mechanical Sciences, 2020, 171: 105371. [14] 刘素贞, 权泽, 张闯, 等. 疲劳裂纹的电磁超声混频非线性检测[J]. 中国电机工程学报, 2020, 40(5): 1694-1703. Liu Suzhen, Quan Ze, Zhang Chuang, et al.Nonlinear detection of fatigue cracks by electromagnetic ultrasonic mixing[J]. Proceedings of the CSEE, 2020, 40(5): 1694-1703. [15] Lü Hongtao, Zhang Jie, Jiao Jingpin, et al.Fatigue crack inspection and characterization using non-collinear shear wave mixing[J]. Smart Materials and Structures, 2020, 29(5): 055024. [16] Sun Maoxun, Qu Jianmin.Analytical and numerical investigations of one-way mixing of Lamb waves in a thin plate[J]. Ultrasonics, 2020, 108: 106180. [17] Chen Han, Gao Guangjian, Hu Ning, et al.Modeling and simulation of frequency mixing response of two counterpropagating Lamb waves in a two-layered plate[J]. Ultrasonics, 2020, 104: 106109. [18] 王芝, 吴维亮, 肖黎, 等. 闭合疲劳裂纹的亚谐波损伤识别方法[J]. 振动工程学报, 2015, 28(4): 567-573. Wang zhi, Wu Weiliang, Xiao Li, et al. Sub harmonic damage identification method for closed fatigue crack[J]. Journal of Vibration Engineering, 2015, 28(4): 567-573. [19] 郑慧峰, 凌田昊, 呼刘晨, 等. 振动声调制技术下微裂纹的非线性响应分析[J]. 声学学报, 2020, 45(4): 571-577. Zheng Huifeng, Ling Tianhao, Hu Liuchen, et al.Nonlinear response analysis of microcracks under vibro acoustic modulation[J]. Acta Acustica, 2020, 45(4): 571-577. [20] Blanloeuil P, Meziane A, Bacon C.Numerical study of nonlinear interaction between a crack and elastic waves under an oblique incidence[J]. Wave Motion, 2014, 51(3): 425-437. [21] Steven Delrue, Koen Van Den Abeele. Three-dimensional finite element simulation of closed delaminations in composite materials[J]. Ultrasonics, 2012, 52(2): 315-324. [22] 张闯, 周希运, 刘素贞, 等. 电磁加载下金属板闭合裂纹的超声调制实验研究[J]. 中国电机工程学报, 2019, 39(4): 1224-1230. Zhang Chuang, Zhou Xiyun, Liu Suzhen, et al.Experimental study on ultrasonic modulation of closed cracks in metal plates under electromagnetic loading[J]. Proceedings of the CSEE, 2019, 39(4): 1224-1230. [23] Francis Rose L R, Blanloeuil P, Veidt M, et al. Analytical and numerical modelling of non-collinear wave mixing at a contact interface[J]. Journal of Sound and Vibration, 2020, 468: 115078. [24] Rafal Radecki, Su Zhongqing, Cheng Li, et al.Modelling nonlinearity of guided ultrasonic waves in fatigued materials using a nonlinear local interaction simulation approach and a spring model[J]. Ultrasonics, 2018, 84: 272-289. [25] 胡海峰. 板状金属结构健康检测的非线性超声理论与关键技术研究[D]. 长沙: 国防科学技术大学, 2011.
2021, Vol. 36 
