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Wave propagation in periodic track structures: band-gap behaviours and formation mechanisms

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Abstract

This paper presents the results of a study concerning the band-gap behaviours and formation mechanisms of periodic track structures. Based on the band-gap theories introduced from phononic crystal which concentrates on the elastic wave propagation in periodic structures, the railway track can be regarded as a novel locally resonant phononic crystal. The band-gaps are found by using the transfer matrix method combined with Bloch theorem, and the attenuation factors in band-gaps are also obtained firstly. Then, band-gap behaviours of periodic track structures are investigated with various parameters such as stiffness of rail pad, fastening spacing and thermal force in rail. Bounding frequencies and width of band-gaps are closely related to the parameters of track structures, resulting from the various wave motion modes at the bounding frequencies. Moreover, it has been found that Bragg band-gaps and locally resonance band-gaps coexist in periodic track structures. And formation mechanisms of band-gaps in periodic track structures can be explained by the Bragg scattering mechanism and locally resonance mechanism. The theoretical analysis is verified by the frequency response functions calculated through the finite element models at last.

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Acknowledgments

Thanks are owed to the NSFC (National Natural Science Foundation of China, No. U1234201) for the research grant awarded to the first author. The work described in this paper was supported by the National Natural Science Foundation of China (51008018), the Fundamental Research Funds for the Central Universities of China (2682015CX079) and the Natural Science Foundation of Sichuan Province (2014GZ0009).

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Authors and Affiliations

  1. Key Laboratory of High-speed Railway Engineering, Ministry of Education, Southwest Jiaotong University, Chengdu, 610031, China

    Ping Wang, Qiang Yi, Caiyou Zhao, Mengting Xing & Jian Tang

  2. School of Civil Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Ping Wang, Qiang Yi, Caiyou Zhao, Mengting Xing & Jian Tang

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  1. Ping Wang
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  2. Qiang Yi
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  3. Caiyou Zhao
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  4. Mengting Xing
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  5. Jian Tang
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Correspondence to Caiyou Zhao.

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Wang, P., Yi, Q., Zhao, C. et al. Wave propagation in periodic track structures: band-gap behaviours and formation mechanisms. Arch Appl Mech 87, 503–519 (2017). https://doi.org/10.1007/s00419-016-1207-8

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