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Study on the Sound Radiation Directivity of a Railway Wheel and the Relationship between Directivity and Mode Shape

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Noise and Vibration Mitigation for Rail Transportation Systems

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 126))

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Abstract

Due to the complex geometry of a railway wheel, the shape of its modes may have to be properly considered to understand and predict the sound radiation directivity around it. A straight-web metro wheel is studied in this paper with a radial excitation. First, the near-field sound radiation at the natural frequencies is measured in experiments performed in a semi-anechoic room. The natural frequencies here were determined by modal test. The corresponding mode shape is calculated from a finite element (FE) model. A good agreement is found between measurements and simulations in terms of natural frequencies. Further, the relationship between mode shape and sound field near the wheel is determined. Second, a rotating semi-circular frame of radius 2 m centered at the center of the wheel is employed to measure the directivity pattern. The directivities of A-weighted total level, one-third octave bands and modes are recorded at a total of 667 measuring points. A radial mode (r, 2) and an axial mode (1, 2) are taken as examples to derive empirical equations of directivity pattern. A model developed by the boundary element (BE) method is found to simulate the directivity pattern more precisely than the derived equations.

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Han, J., Xiao, X.B., Wang, R.Q., Zhao, X., Zhao, G.T., Jin, X.S. (2015). Study on the Sound Radiation Directivity of a Railway Wheel and the Relationship between Directivity and Mode Shape. In: Nielsen, J., et al. Noise and Vibration Mitigation for Rail Transportation Systems. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44832-8_16

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  • DOI: https://doi.org/10.1007/978-3-662-44832-8_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44831-1

  • Online ISBN: 978-3-662-44832-8

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