Ultrasonic guided wave detection in a pipeline based on Lyapunov exponent of Lorenz system

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (11) : 264-270.

^{WEN Yuli1,3， WU Jing2， LIN Rong2， MA Hongwei2,3}

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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.

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Ultrasonic guided wave / Lorenz system / chaos / Lyapunov exponent

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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[J]. Journal of Vibration and Shock, 2019, 38(11): 264-270

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