On the generation of enhanced lookup tables for wheel-rail contact models

Filipe Marques, Hugo Pacheco Magalhaes, Binbin Liu, Joao Pombo, Paulo Flores, Jorge Ambrosio, Jerzy Piotrowski, Stefano Bruni

Research output: Contribution to journalArticle

Abstract

In railway dynamics, the interpolation of lookup tables (LUTs) is a procedure utilized to reduce the computational effort when computing the wheel-rail contact forces. However, the generation of LUTs with multiple inputs and multiple outputs is a challenging task for which aspects such as their minimal size and uniform accuracy over the LUT domain have not been systematically addressed in the literature. Thus, this work presents a comprehensive methodology for a detailed analysis of general LUTs, and identifies ways to improve them. For that, an analysis of the variation of the input parameters is made and the interpolation error is assessed on the cells and edges of the original table, then, based on this analysis, two enhanced LUTs are proposed. The first one is approximately 5 times smaller than the original but holds similar accuracy. The second table exhibits half of the maximum interpolation error of the original LUT but holds an identical size. The methodology is demonstrated here using the recently published Kalker Book of Tables for Non-Hertzian contact (KBTNH) but it can be used by any other LUT approach in order to improve accuracy and/or to reduce size.
LanguageEnglish
Article number202993
JournalWear
Volume434-435
Early online date31 Jul 2019
DOIs
Publication statusPublished - 15 Sep 2019

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Table lookup
rails
wheels
Rails
Wheels
Interpolation
interpolation
methodology

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Marques, Filipe ; Pacheco Magalhaes, Hugo ; Liu, Binbin ; Pombo, Joao ; Flores, Paulo ; Ambrosio, Jorge ; Piotrowski, Jerzy ; Bruni, Stefano. / On the generation of enhanced lookup tables for wheel-rail contact models. In: Wear. 2019 ; Vol. 434-435.
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title = "On the generation of enhanced lookup tables for wheel-rail contact models",
abstract = "In railway dynamics, the interpolation of lookup tables (LUTs) is a procedure utilized to reduce the computational effort when computing the wheel-rail contact forces. However, the generation of LUTs with multiple inputs and multiple outputs is a challenging task for which aspects such as their minimal size and uniform accuracy over the LUT domain have not been systematically addressed in the literature. Thus, this work presents a comprehensive methodology for a detailed analysis of general LUTs, and identifies ways to improve them. For that, an analysis of the variation of the input parameters is made and the interpolation error is assessed on the cells and edges of the original table, then, based on this analysis, two enhanced LUTs are proposed. The first one is approximately 5 times smaller than the original but holds similar accuracy. The second table exhibits half of the maximum interpolation error of the original LUT but holds an identical size. The methodology is demonstrated here using the recently published Kalker Book of Tables for Non-Hertzian contact (KBTNH) but it can be used by any other LUT approach in order to improve accuracy and/or to reduce size.",
keywords = "Wheel-rail contact, Lookup tables, Accuracy, Efficiency, Non-hertzian contact",
author = "Filipe Marques and {Pacheco Magalhaes}, Hugo and Binbin Liu and Joao Pombo and Paulo Flores and Jorge Ambrosio and Jerzy Piotrowski and Stefano Bruni",
year = "2019",
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Marques, F, Pacheco Magalhaes, H, Liu, B, Pombo, J, Flores, P, Ambrosio, J, Piotrowski, J & Bruni, S 2019, 'On the generation of enhanced lookup tables for wheel-rail contact models', Wear, vol. 434-435, 202993. https://doi.org/10.1016/j.wear.2019.202993

On the generation of enhanced lookup tables for wheel-rail contact models. / Marques, Filipe; Pacheco Magalhaes, Hugo; Liu, Binbin; Pombo, Joao; Flores, Paulo; Ambrosio, Jorge; Piotrowski, Jerzy; Bruni, Stefano.

In: Wear, Vol. 434-435, 202993, 15.09.2019.

Research output: Contribution to journalArticle

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T1 - On the generation of enhanced lookup tables for wheel-rail contact models

AU - Marques, Filipe

AU - Pacheco Magalhaes, Hugo

AU - Liu, Binbin

AU - Pombo, Joao

AU - Flores, Paulo

AU - Ambrosio, Jorge

AU - Piotrowski, Jerzy

AU - Bruni, Stefano

PY - 2019/9/15

Y1 - 2019/9/15

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