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Ising Model Simulation and Empirical Research of Barkhausen Noise

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Abstract

In this paper, Monte Carlo simulations are performed based on the two-dimensional Ising model with the objective of matching the simulated magnetic Barkhausen noise (MBN) signals with the measured MBN signals obtained from empirical research on bearing steel of different hardness levels. Firstly, the methods for obtaining simulated MBN signals based on the Ising model are studied. This paper suggests that simulated MBN signals obtained by applying a digital filter to the simulated magnetization curve, both in the time domain and frequency spectrum, are closer to the actual measured signals. Secondly, the influencing factors of the two-dimensional Ising model are studied, including lattice size (N), temperature (T), neighbor interaction (J), external magnetic field (H(t)), number of simulation points per period (\(P_{sim}\)) and Monte Carlo step (MCS). Furthermore, the simulated MBN signals and their feature diagrams under different temperatures and neighbor interactions are plotted. Finally, a method is proposed to match the simulated MBN signals with the actual measured MBN signals using scaling and shifting, reducing the relative error between the simulated and measured MBN signal features to within 7%. This method makes it possible to generate simulated MBN signals at different hardness levels.

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Funding

This work was supported in part by National Key Research and Development Program of China (2018YFB2003304), in part by National Natural Science Foundation of China (61871218), in part by National Key Research and Development Program of China (2018YFB2100903, 2017YFF0107304, 2017YFF0209700), and in part by Fundamental Research Funds for the Central Universities (NJ2019007, NJ2020014).

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Authors and Affiliations

  1. School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, Jiangsu, China

    Cheng Hang, Wangcai Chen & Ping Wang

  2. Nondestructive Detection and Monitoring Technology for High Speed Transportation Facilities, Key Laboratory of Ministry of Industry and Information Technology, Nanjing, 211106, Jiangsu, China

    Cheng Hang, Wenbo Liu, Wangcai Chen & Ping Wang

  3. Chair of Non-Destructive Testing and Quality Assurance, Saar-University, Saarbrücken, 66125, Saarland, Germany

    Gerd Dobmann

  4. Department of Information Science and Technology, Nanjing Forestry University, Nanjing, 210037, Jiangsu, China

    Yin Wu

Authors
  1. Cheng Hang
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  2. Wenbo Liu
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  4. Yin Wu
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Contributions

Cheng Hang: Conceptualization, Methodology, Software, Writing - Original Draft. Wenbo Liu: Supervision, Writing - Review & Editing. Gerd Dobmann: Methodology, Writing - Review & Editing. Yin Wu: Writing - Review & Editing. Wangcai Chen: Writing - Review & Editing. Ping Wang: Funding acquisition, Supervision.

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Correspondence to Cheng Hang.

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Hang, C., Liu, W., Dobmann, G. et al. Ising Model Simulation and Empirical Research of Barkhausen Noise. J Nondestruct Eval 43, 20 (2024). https://doi.org/10.1007/s10921-023-01037-6

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