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Wheel and Rail Profile Design: Multi-Objective Optimisation of the Wheel-Rail Interface Using Dynamic Simulations to Minimise Wear and Rolling Contact Fatigue
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Vehicle engineering and technical acoustics.ORCID iD: 0009-0003-0471-3956
2025 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The interaction between wheels and rails is a key determinant of railway performance, safety, and maintenance costs. Degradations such as wear and rolling contact fatigue originate from the complex mechanical and dynamic processes at the wheel-rail interface. With increasing traffic demand, higher axle loads and greater operational speeds, these degradations intensify and lead to more frequent and costly maintenance. This thesis addresses these challenges by developing and applying multi-objective optimisation techniques for the design of wheel and rail profiles, with the overall aim of reducing damage rates and extending service life.

A refined tangential contact modelling framework is introduced that incorporates a slip velocity dependent friction coefficient to improve the estimation of traction, wear and rolling contact fatigue. An index is developed to estimate the likelihood of curve squeal noise on specific track sections, thereby supporting noise mitigation strategies. 

The performance of two multi-objective optimisation algorithms, namely NSGA II and MOPSO, is analysed under identical conditions to provide insights into their suitability for profile optimisation. Practical implementation aspects, including grinding limitations, are explicitly considered to ensure that the optimised rail profiles are feasible for real-world application.

The optimisation methodology is applied to both passenger and heavy haul contexts. For a broad-gauge heavy haul system, novel techniques are presented for optimising high and low rail profiles in curves as well as multiple profiles for tangent track. Furthermore, a systematic approach is proposed for the integrated optimisation of wheel and rail profiles on a dedicated heavy haul line, taking into account the requirements of the infrastructure owner.

The findings demonstrate that optimised wheel and rail profiles can substantially reduce wear and fatigue, while maintaining vehicle stability and steering performance, extending component lifespans and lowering maintenance demands. The contributions of this thesis provide both methodological advances and practical solutions for railway operators and infrastructure managers, supporting the sustainable development of railway systems under modern operating conditions.

Abstract [sv]

Interaktionen mellan hjul och räl är central för järnvägssystemets prestanda, säkerhet och underhållskostnader. Nedbrytande fenomen såsom slitage och rullkontaktutmattning har sitt ursprung i de komplexa mekaniska och dynamiska processerna vid kontaktytan mellan hjul och räl. I takt med ökande trafikvolymer, högre axellaster och högre hastigheter accentueras dessa nedbrytningsmekanismer, vilket resulterar i mer frekvent och kostsamt underhåll. Avhandlingen adresserar dessa utmaningar genom utveckling och tillämpning av multiobjektiva optimeringstekniker för utformning av hjul- och rälsprofiler, med det övergripande syftet att reducera skadefrekvensen och förlänga komponenternas livslängd.

Ett förfinat modelleringsramverk introduceras för hjul-räl kontakten, vilket inkluderar en varierande friktionskoefficient för att förbättra uppskattningen av dragkraft, slitage och rullkontaktutmattning. Vidare utvecklas ett index för att kvantifiera sannolikheten för förekomst av kurvskrik på specifika spåravsnitt, och därigenom stödja utvecklingen av strategier för bullerminskning.

Prestandan hos två multiobjektiva optimeringsalgoritmer, NSGA II respektive MOPSO, analyseras under identiska förhållanden i syfte att belysa deras lämplighet för profiloptimering. Praktiska implementeringsaspekter, däribland begränsningar vid rälsslipning, beaktas uttryckligen för att säkerställa att de optimerade rälsprofilerna är tillämpbara under verkliga driftsförhållanden.

Den föreslagna optimeringsmetodiken tillämpas både inom persontrafik och tung godstrafik. För ett bredspårigt tunggodssystem presenteras nya metoder för optimering av hög- och lågrälsprofiler i kurvor samt av multipla profiler för rakspår. Därtill föreslås en systematisk ansats för integrerad optimering av hjul- och rälsprofiler på en dedikerad tunggodsbana, med beaktande av infrastrukturägarens specifika krav.

Resultaten visar att optimerade hjul- och rälsprofiler kan medföra en avsevärd reduktion av energiförluster, slitage och utmattning,samtidigt som fordonsstabilitet och styrprestanda upprätthålls, komponenternas livslängd förlängs och underhållsbehoven minskar. Avhandlingen inkluderar såväl metodologiska framsteg som praktiska lösningar för järnvägsoperatörer och infrastrukturförvaltare, och främjar därigenom en hållbar utveckling av järnvägssystemet under moderna driftsförhållanden.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2025. , p. xxi, 47
Series
TRITA-SCI-FOU ; 2025:68
Keywords [en]
Wheel-rail interaction, profile optimisation, multi-objective algorithms, wear, rolling contact fatigue, curve squeal noise, heavy haul railway
Keywords [sv]
hjul-räl-interaktion, profiloptimering, multiobjektiva algoritmer, slitage, rullkontaktutmattning, kurvskrik, tunggodsjärnväg
National Category
Vehicle and Aerospace Engineering
Research subject
Vehicle and Maritime Engineering
Identifiers
URN: urn:nbn:se:kth:diva-372995ISBN: 978-91-8106-479-7 (print)OAI: oai:DiVA.org:kth-372995DiVA, id: diva2:2014271
Public defence
2025-12-12, https://kth-se.zoom.us/j/64897602106, F3, Lindstedtvägen 26, Stockholm, 09:00 (English)
Opponent
Supervisors
Note

QC 251118

Available from: 2025-11-18 Created: 2025-11-17 Last updated: 2025-12-01Bibliographically approved
List of papers
1. Impact of slip velocity-dependent friction coefficient on surface traction, wear, RCF and curve squeal noise prediction in wheel-rail contact
Open this publication in new window or tab >>Impact of slip velocity-dependent friction coefficient on surface traction, wear, RCF and curve squeal noise prediction in wheel-rail contact
2026 (English)In: Vehicle System Dynamics, ISSN 0042-3114, E-ISSN 1744-5159, Vol. 64, no 4, p. 689-707Article in journal (Refereed) Published
Abstract [en]

Wheel-rail contact friction coefficient is often assumed to be constant through the entire contact patch for the calculation of surface traction. In reality, however, the friction value in a certain point decreases when transitioning from adhesion to slip regimes. Including this friction coefficient behaviour in the estimations of surface traction on the contact patch can potentially provide more accurate calculations of wear and rolling contact fatigue (RCF). In the present work, a slip velocity-dependent friction coefficient is implemented in the tangential contact solver using the concept of ‘Friction Memory’. The effect of this implementation on traction estimations and on the prediction of wear and RCF is analysed by comparing the results with a case with constant friction coefficient in the contact patch. Furthermore, the slip velocity-dependent friction coefficient provides a creep curve with a maximum creep forces value, and a decreasing creep force for higher creepages. This is commonly known as one of the possible mechanisms of curve squeal noise generation. The results provide insights into the likelihood of curve squeal generation, and an on-set curve squeal noise detection technique is proposed that also accounts for the influence of profile changes due to wear.

Place, publisher, year, edition, pages
Informa UK Limited, 2026
Keywords
Wheel-rail contact, falling friction, RCF, wear, curve squeal noise
National Category
Vehicle and Aerospace Engineering Applied Mechanics
Research subject
Vehicle and Maritime Engineering; Järnvägsgruppen - Fordonsteknik
Identifiers
urn:nbn:se:kth:diva-365563 (URN)10.1080/00423114.2025.2449908 (DOI)001394179500001 ()2-s2.0-85214486405 (Scopus ID)
Note

QC 20250702

Available from: 2025-06-24 Created: 2025-06-24 Last updated: 2026-04-08Bibliographically approved
2. Wheel Profile Optimisation: A Hybrid Approach Combining Dynamic Simulations and Evolutionary Algorithms
Open this publication in new window or tab >>Wheel Profile Optimisation: A Hybrid Approach Combining Dynamic Simulations and Evolutionary Algorithms
(English)Manuscript (preprint) (Other academic)
Abstract [en]

The growing demands of modern rail transport generated by increased axle loads and operational speeds have intensified wheel-rail interaction damage such as wear, rolling contact fatigue (RCF), and track geometry degradation. These interrelated damage mechanisms form a self-reinforcing cycle that can compromise safety, increase maintenance costs, and disrupt operations. A key strategy to control these damages is the optimisation of wheel and rail profiles to improve contact conditions. Over the years, a variety of optimisation techniques have emerged, ranging from target-based geometric function methods to advanced evolutionary algorithms. While genetic algorithms and other stochastic algorithms have shown promising results in handling the complex, multi-objective nature of wheel-rail profile design, the influence of algorithm selection on optimisation performance remains underexplored. This study investigates the comparative performance of two prominent stochastic optimisation algorithms, Non-dominated Sorting Genetic Algorithm II (NSGA-II) and Multi-Objective Particle Swarm Optimisation (MOPSO), in optimising the wheel profile of a Swedish passenger train.

Keywords
Wheel Optimization, Stochastic Algorithms, Wear, RCF
National Category
Vehicle and Aerospace Engineering
Identifiers
urn:nbn:se:kth:diva-372991 (URN)
Note

QC 20251204

Available from: 2025-11-17 Created: 2025-11-17 Last updated: 2025-12-04Bibliographically approved
3. Rail profile design optimisation for a broad-gauge heavy haul line
Open this publication in new window or tab >>Rail profile design optimisation for a broad-gauge heavy haul line
2025 (English)In: Vehicle System Dynamics, ISSN 0042-3114, E-ISSN 1744-5159Article in journal (Refereed) Epub ahead of print
Abstract [en]

Increasing axle loads and speeds in heavy-haul railway systems have intensified rail and wheel damage, leading to elevated maintenance costs and reduced operational efficiency. A promising solution to this issue without compromising service demands is enhancing wheel–rail interaction through optimisation of rail profiles. This study introduces a rail profile optimisation framework tailored for a broad-gauge heavy-haul network experiencing excessive rail wear, utilising Non-dominated Sorting Genetic Algorithm II (NSGA-II). The framework is designed to minimise wear and rolling contact fatigue (RCF) while maintaining satisfactory and safe vehicle dynamic performance. The framework includes optimisation of both high and low rail profiles for sharp and mild curves, as well as optimisation of two rail profiles for tangent track to improve contact point distribution and reduce hollow wear. The optimisation process is based on in-service profiles to ensure practical grindability and incorporates multi-body simulations (MBS) to assess wheel and rail damage as well as vehicle dynamic behaviour. The results indicate that the optimised profiles substantially reduce wear and RCF across various track sections. Furthermore, long-term wear and RCF evaluation of rail profiles on sharp and mild curves confirm the superior performance of optimised profiles, thereby validating their potential for integration into maintenance practices.

Place, publisher, year, edition, pages
Informa UK Limited, 2025
Keywords
multi-objective optimisation, NSGA-II, Rail profile optimisation, RCF, wear, wheel-rail interaction
National Category
Vehicle and Aerospace Engineering Applied Mechanics Other Civil Engineering
Identifiers
urn:nbn:se:kth:diva-372472 (URN)10.1080/00423114.2025.2573163 (DOI)001594470600001 ()2-s2.0-105019248315 (Scopus ID)
Note

QC 20251107

Available from: 2025-11-07 Created: 2025-11-07 Last updated: 2025-11-17Bibliographically approved
4. Wheel and Rail Profile Optimisation for a Heavy Haul Network
Open this publication in new window or tab >>Wheel and Rail Profile Optimisation for a Heavy Haul Network
(English)Manuscript (preprint) (Other academic)
Abstract [en]

This study presents a systematic framework for optimising wheel and rail profiles and its application in a North American heavy-haul railway. The network suffers from severe low-rail RCF in tight curves with widened gauge, while high-rail damage remains limited due to effective friction management. To address this imbalance, a two-phase optimisation strategy was developed: first, a wheel profile was designed to reduce low-rail damage across varying gauge conditions while maintaining or reducing high-rail damage in sharp curves; second, two new rail profiles were introduced for mild curves and tangent track to ensure compatibility with the new optimised wheel profile and to reduce contact stresses in these sections. The results demonstrate that combined wheel-rail optimisation delivers superior performance compared to a wheel-only optimisation solution and is feasible in practice through the adaptation of existing rail grinding templates, highlighting the importance of a system-level approach to managing RCF and wear in heavy-haul railway operations.

Keywords
Wheel and Rail Profile Optimisation, Wheel-Rail interaction, RCF, Wear, NSGA-II, Multi-Objective Optimisation
National Category
Vehicle and Aerospace Engineering
Identifiers
urn:nbn:se:kth:diva-372987 (URN)
Note

QC 20251128

Available from: 2025-11-17 Created: 2025-11-17 Last updated: 2025-11-28Bibliographically approved
5. Integration Of Grinding Limitations On Rail Profile Optimisation Processes
Open this publication in new window or tab >>Integration Of Grinding Limitations On Rail Profile Optimisation Processes
(English)Manuscript (preprint) (Other academic)
Abstract [en]

A promising approach to control wear and rolling contact fatigue (RCF) on wheel and rail profiles is to optimise the rail geometry for improved wheel-rail contact conditions in order to minimising contact pressures, creepages, and creep forces by achieving a better match between the wheel and rail profiles. Typically, optimised profiles are implemented through rail grinding. However, achieving a substantially different target profile requires greater grinding depth and material removal, which shortens rail life, making it essential to account for these limitations in rail profile optimisation processes. This study presents how to include grinding limitations in rail profile optimisation processes, and studies its effect by optimising two rail profiles, one considering grinding limitations and another without such consideration, to assess their comparative impact on a multi-objective optimisation process and resulting profiles. Furthermore, the degree of conformality of the wheel-rail contact between wheel and rail are analysed and its relationship with contact pressure, wear, and rolling contact fatigue (RCF) is investigated.

Keywords
Profile optimisation, wheel-rail interaction, wear, RCF, NSGA-II, rail grinding
National Category
Vehicle and Aerospace Engineering
Identifiers
urn:nbn:se:kth:diva-372990 (URN)
Note

QC 20251128

Available from: 2025-11-17 Created: 2025-11-17 Last updated: 2025-11-28Bibliographically approved

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