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Results for "Probability Distributions on a Circle"

Author: Fallah Nafari, Saeideh

  • Quantifying the Distribution of Rail Bending Stresses along the Track using Train-Mounted Deflection Measurements

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    Spring 2017

    Fallah Nafari, Saeideh

    framework was also developed to estimate the probability distributions of maximum tensile and compressive bending stresses in the rail head and base, which are necessary for calculating the rail reliability under applied loading. The accuracy of the proposed equations was first verified using a numerical

    method was developed which allowed the simulation of a stochastically varying track modulus along the track. Track models with different track modulus distributions were developed and the resulting VTD and rail bending stresses under moving wheel loads were calculated. The mathematical correlations

    between the inputted track modulus, modelled VTD and rail bending stresses were quantified using statistical approaches. Based on the results, equations were proposed to estimate the statistical properties of track modulus and rail bending stresses over track windows using the VTD measurements. A

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