基于Lyapunov指数的管道超声导波小缺陷定位实验研究

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摘要为了提高超声导波检测长距离管道中小缺陷的检测灵敏度，提出了基于杜芬方程最大Lyapunov指数的超声导波损伤定位方法。依据管道超声导波实测信号的采样频率、中心频率以及杜芬方程特性，设置检测系统参数，将待测信号作为杜芬方程外策动力扰动项输入杜芬方程中。通过比较杜芬系统在无信号输入和输入实测导波信号后，最大Lyapunov指数随策动力幅值F的变化，确定可用于识别导波信号的F值。利用移动窗函数给出了缺陷超声导波的波到时刻识别方法，从而给出了缺陷定位方法。实验研究表明，利用最大Lyapunov指数可有效提高超声导波的检测灵敏度。

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关键词 ：最大Lyapunov指数, 超声导波, 损伤定位, 杜芬检测系统

Abstract：In order to improve the detection sensitivity of small crack location of long distance pipes, a novel detection method based on the maximum Lyapunov Exponents of Duffing system is proposed. According to the sampling frequency and center frequency of the measured ultrasonic guided wave signal and the characteristics of the Duffing chaotic oscillator, the parameters of the detection system are set up. The guided wave signals to be tested are inputted into the Duffing equation as the external turbulent driving force term. Based on comparing the curves, varying with the driving force amplitude F, of the maximum Lyapunov Exponents of Duffing system with the driving force amplitude F varying between the conditions that without input, inputted the measured guided wave signal, the appropriate value of F used to detect the guided wave is determined. Then a time-moving window function is constructed to locate the crack by moving the window along the measured signals. The experimental results show that the maximum Lyapunov Exponents can effectively improve the sensitivity of small crack detection.

Key words： the maximum Lyapunov Exponents ultrasonic guided wave damage location Duffing detection system

收稿日期: 2014-12-18 出版日期: 2015-12-25

引用本文:

武静 1，张伟伟 2，聂振华 1，马宏伟 1,3,杨飞 1. 基于Lyapunov指数的管道超声导波小缺陷定位实验研究[J]. 振动与冲击, 2016, 35(1): 40-53.
WU Jing1 ZHANG Wei-wei2 NIE Zhenhua1 MA Hong-wei1,3 YANG Fei 1. Experimental studies using Lyapunov exponents on crack location in pipes by ultrasonic guided wave. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(1): 40-53.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I1/40

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