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Rolling resistance at non-steady-state conditions - investigating the effect of tyre temperature
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Vehicle Engineering and Solid Mechanics, Vehicle Dynamics. KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design. The Swedish National Road and Transport Research Institute (VTI), Linköping, Sweden.ORCID iD: 0000-0003-4199-5860
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Road transport accounts for nearly a fifth of the global greenhouse gas emissions. Despite significant reductions, achieved by e.g. the introduction of electric vehicles, more can be done. One way is to reduce the rolling resistance, which is one of the resistive forces acting on a moving vehicle.

The overall goal of this work is to fill part of the knowledge gap regarding tyre rolling resistance to support the development of more energy efficient vehicles. Focus is on the influence of the operating conditions, with emphasis on tyre temperature and non-steady-state measurements. Today, rolling resistance of new tyres is rated to guide consumers to choose an energy-efficient tyre. However, this rating is based on standardised steady-state drum measurements at 25°C which often results in the measured rolling resistance being evaluated at higher operating temperature than during normal driving. To account for the drum’s curvature, Clark’s formula is used to convert the drum measurement to represent the tyre’s rolling resistance on a flat surface.

In this work, a new method for non-steady-state rolling resistance measurements on a flat surface has been developed and used to show that rolling resistance has a large and non-linear dependence on tyre temperature. This influence varied across the tested tyres, which indicates that the rolling resistance rating could be affected by the measurement temperature. It was shown that the influence of the tyre temperature on rolling resistance was more profound on a drum compared to a flat track. Therefore, it would be beneficial to include a temperature dependency in Clark’s formula to increase its accuracy.

Furthermore, a rolling resistance model has been developed to describe the relationship between tyre deformation and rolling resistance. The model is parametrised with measurement data and simple enough to be used in complete vehicle dynamic simulations.

Overall, this work has contributed with an increase of knowledge about rolling resistance and how it is influenced by tyre temperature, through the development and use of a new measurement method. The results can be used to improve range estimations and to develop more energy-efficient vehicles at realistic operating conditions. 

Abstract [sv]

Vägtransporter står för nästan en femtedel av de globala utsläppen av växthusgaser. En stor minskning har åstadkommits genom bl.a. introduktionen av elektriska fordon, men det räcker inte. Ett sätt är att minska rullmotståndet, som är en del av det färdmotstånd som verkar på ett fordon i rörelse. 

Det övergripande målet för den här avhandlingen är att fylla en del av kunskapsluckan om rullmotstånd för att bidra till utvecklingen av mer energieffektiva fordon. Fokus ligger på driftsvillkorens påverkan, framförallt däcktemperatur och icke-steady-state. Idag klassificeras däcks rullmotstånd för att hjälpa konsumenter att välja energieffektiva däck. Klassificeringen baseras dock på en standardiserad trumprovning under steady-state i 25°C, vilket ofta ger betydligt högre däcktemperatur än vid verkliga körförhållanden. För att ta hänsyn till trummans kurvatur används Clarks formel för att omvandla trummätningen till ett motsvarande rullmotstånd på en plan yta.

I detta arbete presenteras en ny metod för rullmotståndsmätningar vid icke-steady-state på plant underlag, vilken har utvecklats och använts för att påvisa att rullmotstånd har ett starkt och olinjärt beroende av däcktemperaturen. Däcktemperaturens inverkan på rullmotståndet varierade mellan de provade däcken, vilket indikerar att rullmotståndsklassificeringen kan påverkas av mättemperaturen. Vidare visades att däcktemperaturens påverkan på rullmotståndet är större på trumma jämfört med plant underlag. Därmed skulle det vara fördelaktigt att inkludera ett temperaturberoende i Clarks formel för att öka dess noggrannhet.

Vidare har en rullmotståndsmodell utvecklats som beskriver sambandet mellan rullmotstånd och däckdeformation. Modellen är parametriserad med mätdata och tillräckligt enkel för att användas i fordonsdynamiska simuleringar av ett komplett fordon.

Sammantaget har detta arbete bidragit med ökad kunskap om rullmotstånd och däcktemperaturens påverkan, genom utvecklande och användning av en ny mätmetod. Resultaten kan användas till att förbättra räckviddsuppskattningar och utveckla mer energieffektiva fordon vid realistiska driftsförhållanden. 

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2024. , p. 63
Series
TRITA-SCI-FOU ; 2024:31
Keywords [en]
Tyres, rolling resistance, tyre temperature, operating conditions, rolling resistance measurement, drum measurements, non-steady-state, Clark’s formula, flat track measurements, trailer measurements, real driving conditions, brush model, parametrisation
Keywords [sv]
Däck, rullmotstånd, däcktemperatur, driftsförhållanden, rullmotståndsmätning, trummätning, icke steady-state, Clarks formel, flat track-mätning, verkliga körförhållanden, borstmodellen, parametrisering
National Category
Vehicle and Aerospace Engineering
Research subject
Vehicle and Maritime Engineering
Identifiers
URN: urn:nbn:se:kth:diva-346470ISBN: 978-91-8040-953-7 (print)OAI: oai:DiVA.org:kth-346470DiVA, id: diva2:1858162
Public defence
2024-06-10, Kollegiesalen, Brinellv. 6, https://kth-se.zoom.us/j/62030398715, Stockholm, 10:00 (English)
Opponent
Supervisors
Funder
Vinnova, 2016-05195Available from: 2024-05-16 Created: 2024-05-15 Last updated: 2025-02-14Bibliographically approved
List of papers
1. Rolling resistance and its relation to operating conditions: A literature review
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2021 (English)In: Proceedings of the Institution of mechanical engineers. Part D, journal of automobile engineering, ISSN 0954-4070, E-ISSN 2041-2991, Vol. 235, no 12, p. 2931-2948Article in journal (Refereed) Published
Abstract [en]

For at least 50 years, the interest in understanding and reducing the rolling resistance of pneumatic tyres has been growing. This interest is driven by the need to reduce vehicle fuel consumption and CO2-emissions, for environmental and economic reasons. The amount of rolling resistance generated depends on the vehicle type, tyre properties and operating conditions. The main objective of this literature review is to provide an overview of the most influential operating conditions with respect to rolling resistance, their effects and their connection to different measurement techniques. The examined operating conditions are the inflation pressure, the temperature, the curvature of the test surface, the load, road surface, speed, torque, slip angle and camber angle. In addition, the definition of rolling resistance is investigated, which shows lack of harmony in the literature. There are important areas where little research can be found and where further research would be valuable. Examples of such areas are effects of the torque, slip angle and camber angle on rolling resistance, thorough comparison between flat-surface and drum measurements, effects of temperature difference between laboratory measurements and actual driving on rolling resistance and evaluation of Unrau’s formula for temperature correction of rolling resistance measurements.

Place, publisher, year, edition, pages
SAGE Publications, 2021
Keywords
Tyres, rolling resistance definition, rolling resistance measurement, drum measurement, flat surface measurements, driving conditions, tyre temperature, inflation pressure, slip angle, camber angle
National Category
Vehicle and Aerospace Engineering
Research subject
Vehicle and Maritime Engineering
Identifiers
urn:nbn:se:kth:diva-307150 (URN)10.1177/09544070211011089 (DOI)000682022800001 ()2-s2.0-85104872106 (Scopus ID)
Funder
Vinnova, 2016-05195
Note

QC 20220302

Available from: 2022-01-13 Created: 2022-01-13 Last updated: 2025-02-14Bibliographically approved
2. Development of a method for measuring rolling resistance at different tyre temperatures
Open this publication in new window or tab >>Development of a method for measuring rolling resistance at different tyre temperatures
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2022 (English)In: 27th IAVSD Symposium, 2021, digital from St Petersburg, 17-19 august, 2021, Springer Science and Business Media Deutschland GmbH , 2022Conference paper, Published paper (Refereed)
Abstract [en]

Measurement methods to determine the rolling resistance of tyres during different operation conditions are essential in the work towards more energy efficient vehicles. One of the influential parameters is the tyre temperature distribution, which has a large impact on the rolling resistance. Today, the standardised test procedure to measure rolling resistance is steady-state measurement on drums. However, the steady-state temperature on a drum is not the same as the temperature during ordinary driving conditions. The aim of this work is to develop a measuring method that enables to set a desired measurement temperature, which would create the possibility to study the relationship between tyre temperature and rolling resistance in more detail. The measurement method was developed by the use of a flat track equipment but should be applicable to other rolling resistance measurement equipment such as drums. The resulting method gives a repeatable tyre temperature and rolling resistance and can be used for measurements on tyres heated to a chosen measurement temperature. 

Place, publisher, year, edition, pages
Springer Science and Business Media Deutschland GmbH, 2022
Keywords
rolling resistance, tyre temperature, tyre inflation pressure, measurement method, flat track, drum test
National Category
Vehicle and Aerospace Engineering
Identifiers
urn:nbn:se:kth:diva-309470 (URN)10.1007/978-3-031-07305-2_95 (DOI)2-s2.0-85136990700 (Scopus ID)
Conference
27th IAVSD Symposium, 2021, digital from St Petersburg, 17-19 august, 2021
Funder
Vinnova
Note

QC 20230626

Available from: 2022-03-03 Created: 2022-03-03 Last updated: 2025-02-14Bibliographically approved
3. Measurement and evaluation of rolling resistance of car tyres at low operating temperatures
Open this publication in new window or tab >>Measurement and evaluation of rolling resistance of car tyres at low operating temperatures
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2023 (English)In: Proceedings of the 28th IAVSD Symposium on Dynamics of Vehicles on Roads and Tracks, Ottawa, Canada, 21 - 25 Aug 2023, 2023Conference paper, Published paper (Refereed)
Abstract [en]

In the strive towards more energy efficient vehicles, efforts are made to reduce rolling resistance as one of the main resistive forces. Within the European Union (EU) tyres are labelled to guide consumers to choose a tyre with low rolling resistance. The tyres are labelled based on a standardised rolling resistance test performed at 25 ⁰C on a test drum, where the tyre is run until it reaches steady-state conditions. However, due to the high ambient air temperature, steady-state conditions and the curved surface of the drum, the rolling resistance in a standardised test is commonly measured at a higher tyre temperature compared with many real driving situations. The overall aim with this work was to experimentally measure the rolling resistance at low operating temperatures on a flat surface, which better correlates to realistic operating conditions compared to the EU standard measurement method. The investigated tyre temperature range, 0 ⁰C to 35 ⁰C, was determined based on tyre temperature measurements on a car in traffic during springin Sweden. Rolling resistance measurements were performed on a flat track test equipment for four car tyres with the same dimensions but different rolling resistance labelling. For the tyre with the largest temperature influence, the rolling resistance increased by almost 80 % for a temperature reduction of 20 ⁰C. These results emphasise the importance of the tyre temperature influence on rolling resistance. Further research is needed to conclude whether, and then how, the standardised measurements should be updated to address this temperature influence.

Keywords
tyre, rolling resistance, tyre temperature, measurement method, flat track machine, standards, real driving conditions
National Category
Vehicle and Aerospace Engineering
Identifiers
urn:nbn:se:kth:diva-346460 (URN)
Conference
the 28th IAVSD Symposium on Dynamics of Vehicles on Roads and Tracks, Ottawa, Canada, 21 - 25 Aug 2023
Note

QC 20240521

Available from: 2024-05-15 Created: 2024-05-15 Last updated: 2025-02-14Bibliographically approved
4. Comparison between tyre rolling resistance measurements on a flat track and a test drum under non-steady-state conditions
Open this publication in new window or tab >>Comparison between tyre rolling resistance measurements on a flat track and a test drum under non-steady-state conditions
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(English)Manuscript (preprint) (Other academic)
Abstract [en]

Rolling resistance has become one of the key parameters that the vehicle industry is focussing on in their efforts to make vehicles more energy-efficient. Rolling resistance is generally measured in steady-state on a test drum which results in a higher rolling resistance compared to flat track measurements for the same test settings due to the curvature of the drum which deforms the tyre more. Therefore, the drum steady-staterolling resistance is commonly converted with Clark’s formula, as suggested in the rolling resistance measurement standards. The accuracy of Clark’s formula has been questioned by Freudenmann et al who suggest an adjusted formula for steady-state measurements. The aim of this work is to compare drum and flat track measurements performed at the same inflation pressure and tyre temperature instead of at steadystate and investigate whether Clark’s or Freudenmann’s formula can be used to convert the drum measurement to a corresponding flat track level. Non-steady-state measurements have been performed on both test drum and flat track. As expected, Freudenmann’s formula is not good for the conversion at nonsteady-state settings, since it was empirically developed for steady-state. Clark’s formula works better for conversion of measurements performed at the same tyre temperature and inflation pressure compared to steady-state conversions reported in literature. However, the dependency of rolling resistance on temperature is not the same in the drum and flat track measurements, causing a difference between the results which increases as the tyre temperature decreases. Further research is needed to improve Clark’s formula by including the effects of tyre temperature

Keywords
Rolling resistance, drum tests, flat track, curvature effects, tyre temperature, Clark’s formula, non-steady-state
National Category
Vehicle and Aerospace Engineering
Identifiers
urn:nbn:se:kth:diva-346461 (URN)
Note

QC 20240516

Available from: 2024-05-15 Created: 2024-05-15 Last updated: 2025-02-14Bibliographically approved
5. Parametrisation of a rolling resistance model for extending the brush tyre model
Open this publication in new window or tab >>Parametrisation of a rolling resistance model for extending the brush tyre model
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2024 (English)In: International Journal of Vehicle Design, ISSN 0143-3369, E-ISSN 1741-5314, Vol. 94, no 1-2, p. 38-56Article in journal (Refereed) Published
Abstract [en]

A rolling resistance model (RRM) has been created and parametrised with the purpose of modelling tyre rolling resistance within complete vehicle dynamics simulations. The RRM is based on a combination of the Masing and Zener models to simulate the Payne effect and the viscoelastic properties of rubber. The parametrised model is able to recreate the relationship between the rolling resistance and the tyre deformation well and it has a low computational power requirement. Today the model is limited to simulation of free-rolling tyres on a flat surface, but it can be extended to also include the effects of changes in operating conditions such as wheel angles or road surface.

Place, publisher, year, edition, pages
Inderscience Publishers, 2024
Keywords
Masing model, parametrisation, rolling resistance, tyre deformation, tyre modelling, tyre temperature, vehicle dynamics simulation, wheel load, Zener model
National Category
Vehicle and Aerospace Engineering
Identifiers
urn:nbn:se:kth:diva-343190 (URN)10.1504/IJVD.2024.136238 (DOI)001150623800007 ()2-s2.0-85183574924 (Scopus ID)
Note

QC 20240209

Available from: 2024-02-08 Created: 2024-02-08 Last updated: 2025-02-14Bibliographically approved
6. Comparision of tire rolling resistance measuring methods for different surfaces
Open this publication in new window or tab >>Comparision of tire rolling resistance measuring methods for different surfaces
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2024 (English)In: International Journal of Automotive Technology, E-ISSN 1976-3832, Vol. 25, no 4, p. 965-976Article in journal (Refereed) Published
Abstract [en]

The rolling resistance of car tires is one of the most important parameters characterizing tires today. This resistance has a very significant contribution to the energy consumption of wheeled vehicles. The climate crisis has forced tire and car manufacturers to place great emphasis on the environmental impact of their products. Paradoxically, the development of electric vehicles has led to an even greater importance of rolling resistance, because in electric vehicles a large part of the influence of grade resistance and inertial resistance has been eliminated due to re-generative braking, which resulted in rolling resistance and air resistance remain as the most important factors. What is more, electric and hybrid vehicles are usually heavier so the rolling resistance is increased accordingly. To optimize tires for rolling resistance, representative test methods must exist. Unfortunately, the current standards for measuring rolling resistance assume that tests are carried out in conditions that are far from real road conditions. This article compares the results of rolling resistance tests conducted in road conditions with the results of laboratory tests conducted on roadwheel facilities. The overview of results shows thatthe results of tests conducted in accordance with ISO and SAE standards on steel drums are very poorly correlated with more objective results of road tests. Significant differences occur both in the Coefficients of Rolling Resistance (CRR) and in the tire ranking. Only covering the drums with replicas of road surfaces leads to a significant improvement in the results obtained.For investigations of rolling resistance in non steady-state conditions, the flat track testing machine (TTF), equipped with asphalt cassettes, is shown to provide measurement data in agreement with the road test data.

Place, publisher, year, edition, pages
Seoul: Springer Nature, 2024
Keywords
Tires, Rolling resistance, Measuring methods, Tire labels, Road pavements
National Category
Vehicle and Aerospace Engineering
Identifiers
urn:nbn:se:kth:diva-346466 (URN)10.1007/s12239-024-00092-w (DOI)001223429700001 ()2-s2.0-85193410074 (Scopus ID)
Note

QC 20240527

Available from: 2024-05-15 Created: 2024-05-15 Last updated: 2025-02-14Bibliographically approved

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