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A novel model for vehicle/turnout nonlinear random vibration analysis based on full probability irregularity spectrum

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Abstract

The irregularity in the turnout is the primary source of excitation in vehicle/turnout interaction. By considering the amplitude, frequency, and probability characteristics of the irregularity, a full probability simulation method for modeling the turnout irregularity random field is proposed using Latin hypercube sampling and inverse Fourier transform. The probability density evolution method is then introduced to comprehensively reveal the random vibration characteristics of the vehicle/turnout system. The results demonstrate that the full probability irregularity spectrum can achieve a cumulative probability resolution of up to 1/100 with the amount of data being less than 1/10 of the measured data. The computational efficiency of PDEM is enhanced by 1 to 2 orders of magnitude compared to the Monte Carlo simulation while maintaining the same level of accuracy. The position of the heart rail is identified as having the most significant influence on the random contact behavior between the wheel and rail. The vertical acceleration of the vehicle is more sensitive to the heart rail position, whereas the lateral response is more influenced by the switch rail position.

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Data availability

The data used to support the findings of this study are available from the corresponding author upon request.

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Funding

This work was supported by the National Key R&D Program of China (Grant No. 2022YFB2602901), the Open Fund of National Key Laboratory of High-speed Railway Track Technology (Grant No. 2021YJ053), the Project of Science and Technology Research and Development Program of China State Railway Group Co., Ltd. (Grant No. K2022G038) and the National Natural Science Foundation of China (Grant No. 52178405).

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Authors and Affiliations

  1. School of Civil Engineering, Bei**g Jiaotong University, Bei**g, 100044, China

    Xueyang Tang, **aopei Cai & Wanli Liu

  2. Infrastructure Inspection Research Institute, China Academy of Railway Sciences Corporation Limited, Be**g, 100081, China

    Jialin Sun & Fei Yang

  3. State Key Laboratory for Track Technology of High-Speed Railway, Bei**g, 100081, China

    Meng Wang

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  1. Xueyang Tang
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Contributions

X.T. and X.C. wrote the main manuscript text, W.L. prepared figures 1-10, J.S. prepared figures 11-20, F.Y. prepared figures 21-30, and M.W. prepared figures 31-36. All authors reviewed the manuscript.

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Correspondence to **aopei Cai.

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Tang, X., Cai, X., Liu, W. et al. A novel model for vehicle/turnout nonlinear random vibration analysis based on full probability irregularity spectrum. Nonlinear Dyn (2024). https://doi.org/10.1007/s11071-024-09955-4

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