Experimental studies using Lyapunov exponents on crack location in pipes by ultrasonic guided wave

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (1) : 40-53.

WU Jing1 ZHANG Wei-wei2 NIE Zhenhua1 MA Hong-wei1,3 YANG Fei 1

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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

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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[J]. Journal of Vibration and Shock, 2016, 35(1): 40-53

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