High-Precision Normal Stress Measurement Methods for Tire–Road Contact and Its Spatial and Frequency Domain Distribution Characteristics

This study investigates measurement methods for and the distribution characteristics of normal stress within tire–road contact areas. A novel measurement method, integrating 3D scanning technology with bearing area curve (BAC) analysis, is proposed. This method quantifies the rubber penetration dept...

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Main Authors: Liang Song, Xixian Wu, Zijie Xie, Jie Gao, Di Yun, Zongjian Lei
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Lubricants
Subjects:
Online Access:https://www.mdpi.com/2075-4442/13/7/309
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author Liang Song
Xixian Wu
Zijie Xie
Jie Gao
Di Yun
Zongjian Lei
author_facet Liang Song
Xixian Wu
Zijie Xie
Jie Gao
Di Yun
Zongjian Lei
author_sort Liang Song
collection DOAJ
description This study investigates measurement methods for and the distribution characteristics of normal stress within tire–road contact areas. A novel measurement method, integrating 3D scanning technology with bearing area curve (BAC) analysis, is proposed. This method quantifies the rubber penetration depth and calculates contact stress based on rubber deformation. The key innovation of this method lies in this integrated methodology for high-precision stress mapping. In the spatial domain, stress distribution is characterized by the percentage of area occupied by different stress intervals, while in the frequency domain, stress levels are analyzed at various frequencies. The results demonstrate that as the Mean Profile Depth (MPD) of the road texture increases, the areas under stress greater than 1.0 MPa increase, while the areas under stress less than 0.8 MPa decrease. However, when the MPD exceeds 0.7 mm, this effect becomes less pronounced. Higher loads and harder rubber reduce the proportion of areas under lower stress and increase the proportion under higher stress. Low-frequency (<800 1/m) stress components increase with an MPD up to 0.7 mm, beyond which they exhibit diminished sensitivity. Stress at the same frequency is not significantly affected by load variation but increases markedly with increasing rubber hardness. This research provides crucial insights into contact stress distribution, establishing a foundation for analyzing road friction and optimizing surface texture design oriented towards high-friction pavements.
format Article
id doaj-art-301d49114ca14e8da174dd3e5151c01e
institution DOAJ
issn 2075-4442
language English
publishDate 2025-07-01
publisher MDPI AG
record_format Article
series Lubricants
spelling doaj-art-301d49114ca14e8da174dd3e5151c01e2025-08-20T03:08:09ZengMDPI AGLubricants2075-44422025-07-0113730910.3390/lubricants13070309High-Precision Normal Stress Measurement Methods for Tire–Road Contact and Its Spatial and Frequency Domain Distribution CharacteristicsLiang Song0Xixian Wu1Zijie Xie2Jie Gao3Di Yun4Zongjian Lei5School of Traffic and Transportation Engineering, Xinjiang University, Urumqi 830017, ChinaSchool of Traffic and Transportation Engineering, Xinjiang University, Urumqi 830017, ChinaSchool of Traffic and Transportation Engineering, Xinjiang University, Urumqi 830017, ChinaSchool of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, ChinaSchool of Automobile and Traffic Engineering, Wuhan University of Science and Technology, Wuhan 430081, ChinaHubei Provincial Expressway Industrial Development Co., Ltd., Wuhan 430050, ChinaThis study investigates measurement methods for and the distribution characteristics of normal stress within tire–road contact areas. A novel measurement method, integrating 3D scanning technology with bearing area curve (BAC) analysis, is proposed. This method quantifies the rubber penetration depth and calculates contact stress based on rubber deformation. The key innovation of this method lies in this integrated methodology for high-precision stress mapping. In the spatial domain, stress distribution is characterized by the percentage of area occupied by different stress intervals, while in the frequency domain, stress levels are analyzed at various frequencies. The results demonstrate that as the Mean Profile Depth (MPD) of the road texture increases, the areas under stress greater than 1.0 MPa increase, while the areas under stress less than 0.8 MPa decrease. However, when the MPD exceeds 0.7 mm, this effect becomes less pronounced. Higher loads and harder rubber reduce the proportion of areas under lower stress and increase the proportion under higher stress. Low-frequency (<800 1/m) stress components increase with an MPD up to 0.7 mm, beyond which they exhibit diminished sensitivity. Stress at the same frequency is not significantly affected by load variation but increases markedly with increasing rubber hardness. This research provides crucial insights into contact stress distribution, establishing a foundation for analyzing road friction and optimizing surface texture design oriented towards high-friction pavements.https://www.mdpi.com/2075-4442/13/7/309tire–road contactnormal stresstime–frequency domainroad texturemean profile depth
spellingShingle Liang Song
Xixian Wu
Zijie Xie
Jie Gao
Di Yun
Zongjian Lei
High-Precision Normal Stress Measurement Methods for Tire–Road Contact and Its Spatial and Frequency Domain Distribution Characteristics
Lubricants
tire–road contact
normal stress
time–frequency domain
road texture
mean profile depth
title High-Precision Normal Stress Measurement Methods for Tire–Road Contact and Its Spatial and Frequency Domain Distribution Characteristics
title_full High-Precision Normal Stress Measurement Methods for Tire–Road Contact and Its Spatial and Frequency Domain Distribution Characteristics
title_fullStr High-Precision Normal Stress Measurement Methods for Tire–Road Contact and Its Spatial and Frequency Domain Distribution Characteristics
title_full_unstemmed High-Precision Normal Stress Measurement Methods for Tire–Road Contact and Its Spatial and Frequency Domain Distribution Characteristics
title_short High-Precision Normal Stress Measurement Methods for Tire–Road Contact and Its Spatial and Frequency Domain Distribution Characteristics
title_sort high precision normal stress measurement methods for tire road contact and its spatial and frequency domain distribution characteristics
topic tire–road contact
normal stress
time–frequency domain
road texture
mean profile depth
url https://www.mdpi.com/2075-4442/13/7/309
work_keys_str_mv AT liangsong highprecisionnormalstressmeasurementmethodsfortireroadcontactanditsspatialandfrequencydomaindistributioncharacteristics
AT xixianwu highprecisionnormalstressmeasurementmethodsfortireroadcontactanditsspatialandfrequencydomaindistributioncharacteristics
AT zijiexie highprecisionnormalstressmeasurementmethodsfortireroadcontactanditsspatialandfrequencydomaindistributioncharacteristics
AT jiegao highprecisionnormalstressmeasurementmethodsfortireroadcontactanditsspatialandfrequencydomaindistributioncharacteristics
AT diyun highprecisionnormalstressmeasurementmethodsfortireroadcontactanditsspatialandfrequencydomaindistributioncharacteristics
AT zongjianlei highprecisionnormalstressmeasurementmethodsfortireroadcontactanditsspatialandfrequencydomaindistributioncharacteristics