Identification of steel strand tension based on nonlinear ultrasonic frequency-mixing technology
QIAN Ji1,2, LI Jianbin1,3, QIAO Zhenzhen1,3, TANG Guangwu2
1. State Key Lab of Mountain Bridge and Tunnel Engineering, Chongqing Jiaotong University, Chongqing 400074, China;
2. State Key Lab of Structural Dynamics of Bridge Engineering, Chongqing 400067, China;
3. College of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China
Abstract：Monitoring the stress level of steel strand is of great significance to ensure the reasonable structural performance of post-tensioned concrete structures, cable-stayed bridges and arch bridges. Based on the harmonic generation mechanism of steel wire contact model under the condition of one-dimensional incidence, the functional relationship between the tension of steel strand and the nonlinear coefficient of sideband frequency was established. Using finite element simulation and step-load testing, the sideband frequency nonlinear coefficient and second harmonic nonlinear coefficient at different tension levels were calculated, and the influence of the input power of the excitation was analyzed. The results show that obvious modulated sideband harmonics and second harmonics are generated in the steel strand when mixed frequency wave excited. The nonlinear coefficients of the sideband and the second harmonic wave under the influence of tension level change in accordance with the decline law of the theoretical model. In contrast, the nonlinear coefficient of sideband frequency changes more regularly with the tension and is less affected by the excitation source power.
[1] 刘增华，刘溯，吴斌，等．预应力钢绞线中超声导波声弹性效应的试验研究［J］．机械工程学报，2010，46(2): 22-27．
LIU Zeng-hua，LIU Su，WU Bin，et al． Experimental research on acoustoelastic effect of ultrasonic guided waves in prestressing steel strand[J]． Journal of Mechanical Engineerig，2010，46(2): 22-27．
[2] 张俊哲. 无损检测技术及其应用[M]. 2版. 北京：科学出版社，2010．
ZHANG Jun-zhe. Nondestructive testing technology and its application[M]. 2rd ed. Beijing：Science Press，2010.
[3] Matlack K H, Kim J Y, Jacobs L J, et al. Review of Second Harmonic Generation Measurement Techniques for Material State Determination in Metals[J]. Journal of Nondestructive Evaluation, 2015, 34(1):273..
[4] 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 Guo-shuang and WANG Yue-sheng. Advances in Research of Nonlinear Ultrasonic Wave Mixing Detection Technology in Non-destructive Evaluation[J]. Journal of Mechanical Engineering, 2019, 55(16):33-46.
[5] Solodov I . Nonlinear frequency shift and decay of local damage resonance: CAN Version[C]// 21st International Symposium on Nonlinear Acoustics. 2018.
[6] Nucera C, Scalea F L D . Monitoring load levels in multi-wire strands by nonlinear ultrasonic waves[J]. Structural Health Monitoring, 2011, 10(6):617-629.
[7] Nucera C, Scalea F L D . Nonlinear ultrasonic guided waves for prestress level monitoring in prestressing strands for post-tensioned concrete structures[J]. Proc Spie, 2011, 7981(8):765-768.
[8] Salamone S, Bartoli I, Phillips R, et al. Health monitoring of prestressing tendons in post-tensioned concrete structures[J]. Transportation Research Record Journal of the Transportation Research Board, 2011, 26(2220):21-27.
[9] Carcione A, Blanloeuil P, Rose L R F, et al. Modulated high frequency excitation approach to nonlinear ultrasonic NDT[J]. Journal of Sound and Vibration, 2019, 446:238-248.
[10] Biwa S, Nakajima S, Ohno N. On the Acoustic Nonlinearity of Solid-Solid Contact With Pressure-Dependent Interface Stiffness[J]. Journal of Applied Mechanics, 2004, 71(4):508.
[11] 刘学君, 杨晓华, 马广婷,等. 基于非线性弹簧模型的振动声调制机理研究[J]. 振动与冲击, 2018(10) :233-240.
Liu, Xue-jun; Yang, Xiao-hua; Ma, Guang-ting, et al. Theoretical analysis and experimental verification on the mechanism of vibration acoustic modulation based on a nonlinear spring model[J]. Journal of Vibration and Shock, 2018, 37(10):233-240.
[12] Zhang Z, Liu M, Liao Y, et al. Contact acoustic nonlinearity (CAN)-based continuous monitoring of bolt loosening: Hybrid use of high-order harmonics and spectral sidebands[J]. Mechanical Systems and Signal Processing, 2018, 103:280-294.
[13] 焦敬品, 樊仲祥, 吴斌,等. 闭合裂纹非共线混频超声检测试验研究[J]. 声学学报, 2017(02):205-213.
JIAO Jing-pin, FAN Zhong-xiang, WU Bin, et al. Experiments of non-collinear mixed frequency ultrasonic for closed crack detection[J]. ACTA ACUSTICA, 2017, 42(2): 205-213.
[14] Richardson J M. Harmonic generation at an unbonded interface. I. Planar interface between semi-infinite elastic media[J]. International Journal of Engineering Science, 1979, 17(1):73-85.
[15] Machida S and Durelli AJ. Response of a strand to axial and torsional displacement [J]. Mech Eng Sci 1973, 15(4):241–251.
[16] Quiroga J, Villamizar R, Mujica L E, et al. Guided ultrasonic wave for monitoring stress levels in pipelines[C]// Eccomas Thematic Conference on Smart Structures & Materials. 2015.
[17] 钱骥,杨金川,李长春,张俊波.基于导波模态转角的钢绞线张拉力计算方法研究[J].重庆交通大学学报(自然科学版),2018,37(11):1-7.
Qian Ji, Yang Jin-chuan, LI Chang-chun, et al. Tensile Force Calculation of Steel Strands Based on Guided Wave Mode Bifurcation Angles[J]. OURNAL OF CHONGQING JIAOTONG UNIVERSITY (NATURAL SCIENCE), 2018, 37(11):1-7.
[18] Buck O, Morris W L , Richardson J M . Acoustic harmonic generation at unbonded interfaces and fatigue cracks[J]. Applied Physics Letters, 1978, 33(5):371-373.
[19] 焦敬品, 曾宪超, 张强,等. 基于微观模型分析的承压粗糙界面接触状态超声评价方法[J]. 机械工程学报, 2011, 47(017):78-83.
JIAO Jing-pin, ZENG Xian-chao,ZHANG Qiang, et al. Micromechanical Model of Rough Surface for Evaluation of Acoustic Properties of Pressure Interfaces[J]. Journal of Mechanical Engineering, 2011, 47(017):78-83.
[20] 陈鑫. 超声导波在钢绞线中传播的时频能量分析[D].重庆交通大学,2018.
Chen X. Time Frequency Energy Analysis of Ultrasonic Guided Waves Propagating in Steel Strands. Chongqing: Chongqing Jiaotong University, 2018.
[21] Rose JL. Ultrasonic Guided Waves in Solid Media[M]. Cambridge: Cambridge University Press,2014.
[22] Wan X H, Xu N, Guo QQ, et al. Load Monitoring in Multiwire Strands by Ultrasonic Second Harmonic Measurements[C]// Hong Kong: 7th Asia-Pacific Workshop on Structural Health Monitoring, 2018.
