基于Lorenz系统Lyapunov指数的管道超声导波检测

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摘要为了提高长距离管道超声导波检测中弱导波信号的识别精度，提出了基于Lorenz系统Lyapunov指数的管道超声导波检测方法。基于非共振周期信号的参数激励实现Lorenz系统的混沌控制，将待测的导波信号作为参数激励的扰动项输入Lorenz检测系统中，通过对比有无导波信号输入后Lorenz系统最大Lyapunov指数的不同响应，确定适合导波信号检测的参数激励幅值。然后利用ANSYS软件和搭建的超声导波实验平台分别进行数值模拟和实验，获得超声导波在含有不同损伤个数、大小的6m长管道中传播的数值模拟信号和实验信号，利用Lorenz检测系统识别数值模拟与实验信号。基于二分法对导波信号进行分段识别，通过定位出回波信号的时间段实现损伤定位。检测结果表明，Lorenz系统能够有效地免疫噪声并识别管道的缺陷，并且提高了管道超声导波检测的灵敏度。

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关键词 ：超声导波, Lorenz系统, 混沌, Lyapunov指数

Abstract：In order to improve detection precision of ultrasonic guided wave in a long-distance pipeline, a pipeline ultrasonic guided wave detection method based on Lyapunov exponent of Lorenz system was proposed. Lorenz system’s chaos control was realized based on parametric excitation of non-resonant periodic signals. Guided wave signals to be detected, as the disturbance term of parametric excitation, were inputted into Lorenz detection system. The response of Lorenz system’s maximum Lyapunov exponent after inputting guided wave signals was compared to that without inputting guided wave ones to determine parametric excitation amplitude suitable for guided wave signal detection. The software ANSYS and a test platform for ultrasonic guided wave were used to do numerical simulation and tests, respectively to acquire ultrasonic guided wave’s simulated signals and test ones propagating in a 6-meter long steel pipe with different sizes and numbers of damage. Then Lorenz system was used to detect these simulated signals and test ones. The guided wave signals were recognized in segments based on the dichotomy. The damages were positioned through locating the time period of echo signals. The detection results showed that Lorenz system is immune to noise, it can effectively recognize damages or defects in a pipeline, and improve the sensitivity of pipeline ultrasonic guided wave detection.

Key words： Ultrasonic guided wave Lorenz system chaos Lyapunov exponent

收稿日期: 2017-10-11 出版日期: 2019-05-28

引用本文:

温宇立 1,3，武静 2，林荣 2，马宏伟 2,3. 基于Lorenz系统Lyapunov指数的管道超声导波检测[J]. 振动与冲击, 2019, 38(11): 264-270.
WEN Yuli1,3， WU Jing2， LIN Rong2， MA Hongwei2,3. Ultrasonic guided wave detection in a pipeline based on Lyapunov exponent of Lorenz system. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(11): 264-270.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I11/264

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