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ISSN 2753-3239
ISSN 2753-3239
CCC: 7
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE
Edited by: J. Pombo
Paper 13.5
Stochastic Track Vibration Analysis in Consideration of Log-Normal Type Spatial Variation of Rail Material Parameters and Shape Dimensions
K. Koro1, K. Suzuki2 and K. Abe1
1Faculty of Engineering, Niigata University, Japan
2School of Engineering, Niigata University, Japan
Full Bibliographic Reference for this paper
K. Koro, K. Suzuki, K. Abe, "Stochastic Track Vibration Analysis in Consideration of Log-Normal Type Spatial Variation of Rail Material Parameters and Shape Dimensions", in J. Pombo, (Editor), "Proceedings of the Sixth International Conference on
Railway Technology: Research, Development and Maintenance",
Civil-Comp Press, Edinburgh, UK,
Online volume: CCC 7, Paper 13.5, 2024, doi:10.4203/ccc.7.13.5
Keywords: wheel-track vibration, spatial variation, material parameters and shape dimensions, Karhunen-Loeve expansion, log-normal randam variable, polynomial chaos.
Abstract
We investigate the influence of random variables selection on spatial variation of rail material parameters and shape dimensions to the expected value and the standard deviation of the simulated track dynamic response.
The spatial variation is considered about Young's modulus, density, cross-sectional area, moment of inertia and surface profile on a rail, using the Karhunen-Loeve expansion.
The random variables in the Karhunen-Loeve expansion are chosen from the standard normal- or the standard log-normal random variables.
The dynamic response in a probability space is evaluated using the polynomial chaos and the stochastic collocation method
Through numerical tests, we investigate the expected value and the standard deviation of the three kinds of dynamic forces, the wheel-rail contact force, the railpad force and the sleeper-ballast force for several running speed of a wheel.
The expected value and the standard deviation of the wheel-rail contact force increase with rise of the wheel running speed c, due to existance of rail surface profile.
The dynamic behavior on the expected value and the standard deviation tends to be independent of the choice of the standard normal- or the standard log-normal random variables in Karhunen-Loeve expansion.
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