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On the Identification of Elastic Moduli of In-Service Rail by Ultrasonic Guided Waves

by Liqiang Zhu 1,2, Xiangyu Duan 1,2,* and Zujun Yu 1,2
1
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China
2
Key Laboratory of Vehicle Advanced Manufacturing, Measuring and Control Technology (Beijing Jiaotong University), Ministry of Education, Beijing 100044, China
*
Author to whom correspondence should be addressed.
Sensors 2020, 20(6), 1769; https://doi.org/10.3390/s20061769
Received: 10 January 2020 / Revised: 9 March 2020 / Accepted: 19 March 2020 / Published: 22 March 2020
(This article belongs to the Section Physical Sensors)
Non-destructive rail testing and evaluation based on guided waves need accurate information about the mode propagation characteristics, which can be obtained numerically with the exact material properties of the rails. However, for rails in service, it is difficult to accurately obtain their material properties due to temperature fluctuation, material degradation and rail profile changes caused by wear and grinding. In this study, an inverse method is proposed to identify the material elastic constants of in-service rails by minimizing the discrepancy between the phase velocities predicted by a semi-analytical finite element model and those measured using array transducers attached to the rail. By selecting guided wave modes that are sensitive to moduli but not to rail profile changes, the proposed method can make stable estimations for worn rails. Numerical experiments using a three-dimensional finite element model in ABAQUS/Explicit demonstrate that reconstruction accuracies of 0.36% for Young’s modulus and 0.87% for shear modulus can be achieved. View Full-Text
Keywords: Semi-analytical finite element; Ultrasonic guided waves; Rail; Inverse problem; Material characterization Semi-analytical finite element; Ultrasonic guided waves; Rail; Inverse problem; Material characterization
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Zhu, L.; Duan, X.; Yu, Z. On the Identification of Elastic Moduli of In-Service Rail by Ultrasonic Guided Waves. Sensors 2020, 20, 1769.

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