Stochastic analysis of dynamic stress amplification factors for slab track foundations

Hongwei Xie, Qiang Luo, Tengfei Wang, Liangwei Jiang and David P. Connolly

International Journal of Rail Transportation, 2024, vol. 12, issue 2, 281-303

Abstract: The relationship between railway track-bed stresses and speed is essential when performing track foundation design. Current approaches to describe this relationship are typically empirical and multiply the static track response by a dynamic amplification factor to account for speed effects. This paper develops an alternative method for dynamic amplification factor generation instead of numerical simulation. A vehicle–track dynamics model is presented, capable of simulating the subgrade dynamics considering random track irregularities. First, samples of irregularity are generated based on a mean vertical track profile power spectral density. A range of train speeds and track-spectrum cumulative probabilities are computed using the numerical model before analyzing the resultant surface stresses. The resulting dynamic amplification factors follow a Gumbel distribution. Data normalization is performed before developing a bespoke dynamic amplification function. Based on speed, track-spectrum cumulative probability, and p-values, the proposed model yields dynamic amplification predictions within 5% of the simulated values.

Date: 2024
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DOI: 10.1080/23248378.2023.2170286

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