Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip

ZHANG, Jintao ;JING, Zhecheng ;ZHOU, Haichao ;ZHANG, Yu ;WANG, Guolin .
Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 71, n.5-6, p. 179-191, april 2025. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/identification-method-of-tire-road-adhesion-coefficient-based-on-tire-physical-model-and-strain-signal-for-pure-longitudinal-slip/>. Date accessed: 29 jul. 2025. 
doi:http://dx.doi.org/10.5545/sv-jme.2024.1036.

Zhang, J., Jing, Z., Zhou, H., Zhang, Y., & Wang, G.
(2025).
Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip.
Strojniški vestnik - Journal of Mechanical Engineering, 71(5-6), 179-191.
doi:http://dx.doi.org/10.5545/sv-jme.2024.1036

@article{sv-jmesv-jme.2024.1036,
	author = {Jintao  Zhang and Zhecheng  Jing and Haichao  Zhou and Yu  Zhang and Guolin  Wang},
	title = {Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {71},
	number = {5-6},
	year = {2025},
	keywords = {intelligent tire; tire-road adhesion coefficient estimation; slip point; slip rate; nonlinear regression; },
	abstract = {To precisely calculate the tire-road adhesion coefficient of rolling tires at various slip rates, and enhance the safety and stability of vehicle operation, an approach for estimating the tire-road adhesion coefficient based on strain sensors and brush models was proposed. First, a finite element model of 205/55R16 radial tire was established, and the effectiveness of the model was verified through static ground contact and radial stiffness experiments. Then, the circumferential strain signal of the inner liner centerline of the tire during braking was extracted, utilizing the average peak angle spacing of the first-order and second-order circumferential strain curves, and the contact area length was estimated using the arc length formula. Subsequently, the braking simulation of rolling tires confirmed the asymmetry of pressure distribution within the ground contact area, estimating the position of slip points within the contact area based on arbitrary pressure distribution function and brush model, while nonlinear regression was utilized to fit the estimation function of slip point under various slip rates. Finally, a functional relationship was developed between tire-road adhesion coefficient and slip rate, considering the friction characteristics between tire rubber and road surface, while the friction model used is based on exponential decay. The results suggest that the methods described above enable estimation of the tire-road adhesion coefficient under different slip rates, providing valuable insights for intelligent tire applications in vehicle dynamics control.},
	issn = {0039-2480},	pages = {179-191},	doi = {10.5545/sv-jme.2024.1036},
	url = {https://www.sv-jme.eu/sl/article/identification-method-of-tire-road-adhesion-coefficient-based-on-tire-physical-model-and-strain-signal-for-pure-longitudinal-slip/}
}

Zhang, J.,Jing, Z.,Zhou, H.,Zhang, Y.,Wang, G.
2025 April 71. Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 71:5-6

%A Zhang, Jintao 
%A Jing, Zhecheng 
%A Zhou, Haichao 
%A Zhang, Yu 
%A Wang, Guolin 
%D 2025
%T Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip
%B 2025
%9 intelligent tire; tire-road adhesion coefficient estimation; slip point; slip rate; nonlinear regression; 
%! Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip
%K intelligent tire; tire-road adhesion coefficient estimation; slip point; slip rate; nonlinear regression; 
%X To precisely calculate the tire-road adhesion coefficient of rolling tires at various slip rates, and enhance the safety and stability of vehicle operation, an approach for estimating the tire-road adhesion coefficient based on strain sensors and brush models was proposed. First, a finite element model of 205/55R16 radial tire was established, and the effectiveness of the model was verified through static ground contact and radial stiffness experiments. Then, the circumferential strain signal of the inner liner centerline of the tire during braking was extracted, utilizing the average peak angle spacing of the first-order and second-order circumferential strain curves, and the contact area length was estimated using the arc length formula. Subsequently, the braking simulation of rolling tires confirmed the asymmetry of pressure distribution within the ground contact area, estimating the position of slip points within the contact area based on arbitrary pressure distribution function and brush model, while nonlinear regression was utilized to fit the estimation function of slip point under various slip rates. Finally, a functional relationship was developed between tire-road adhesion coefficient and slip rate, considering the friction characteristics between tire rubber and road surface, while the friction model used is based on exponential decay. The results suggest that the methods described above enable estimation of the tire-road adhesion coefficient under different slip rates, providing valuable insights for intelligent tire applications in vehicle dynamics control.
%U https://www.sv-jme.eu/sl/article/identification-method-of-tire-road-adhesion-coefficient-based-on-tire-physical-model-and-strain-signal-for-pure-longitudinal-slip/
%0 Journal Article
%R 10.5545/sv-jme.2024.1036
%& 179
%P 13
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 71
%N 5-6
%@ 0039-2480
%8 2025-04-01
%7 2025-04-01

Zhang, Jintao, Zhecheng  Jing, Haichao  Zhou, Yu  Zhang, & Guolin  Wang.
"Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip." Strojniški vestnik - Journal of Mechanical Engineering [Online], 71.5-6 (2025): 179-191. Web.  29 Jul. 2025

TY  - JOUR
AU  - Zhang, Jintao 
AU  - Jing, Zhecheng 
AU  - Zhou, Haichao 
AU  - Zhang, Yu 
AU  - Wang, Guolin 
PY  - 2025
TI  - Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2024.1036
KW  - intelligent tire; tire-road adhesion coefficient estimation; slip point; slip rate; nonlinear regression; 
N2  - To precisely calculate the tire-road adhesion coefficient of rolling tires at various slip rates, and enhance the safety and stability of vehicle operation, an approach for estimating the tire-road adhesion coefficient based on strain sensors and brush models was proposed. First, a finite element model of 205/55R16 radial tire was established, and the effectiveness of the model was verified through static ground contact and radial stiffness experiments. Then, the circumferential strain signal of the inner liner centerline of the tire during braking was extracted, utilizing the average peak angle spacing of the first-order and second-order circumferential strain curves, and the contact area length was estimated using the arc length formula. Subsequently, the braking simulation of rolling tires confirmed the asymmetry of pressure distribution within the ground contact area, estimating the position of slip points within the contact area based on arbitrary pressure distribution function and brush model, while nonlinear regression was utilized to fit the estimation function of slip point under various slip rates. Finally, a functional relationship was developed between tire-road adhesion coefficient and slip rate, considering the friction characteristics between tire rubber and road surface, while the friction model used is based on exponential decay. The results suggest that the methods described above enable estimation of the tire-road adhesion coefficient under different slip rates, providing valuable insights for intelligent tire applications in vehicle dynamics control.
UR  - https://www.sv-jme.eu/sl/article/identification-method-of-tire-road-adhesion-coefficient-based-on-tire-physical-model-and-strain-signal-for-pure-longitudinal-slip/

@article{{sv-jme}{sv-jme.2024.1036},
	author = {Zhang, J., Jing, Z., Zhou, H., Zhang, Y., Wang, G.},
	title = {Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {71},
	number = {5-6},
	year = {2025},
	doi = {10.5545/sv-jme.2024.1036},
	url = {https://www.sv-jme.eu/sl/article/identification-method-of-tire-road-adhesion-coefficient-based-on-tire-physical-model-and-strain-signal-for-pure-longitudinal-slip/}
}

TY  - JOUR
AU  - Zhang, Jintao 
AU  - Jing, Zhecheng 
AU  - Zhou, Haichao 
AU  - Zhang, Yu 
AU  - Wang, Guolin 
PY  - 2025/04/01
TI  - Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 71, No 5-6 (2025): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2024.1036
KW  - intelligent tire, tire-road adhesion coefficient estimation, slip point, slip rate, nonlinear regression, 
N2  - To precisely calculate the tire-road adhesion coefficient of rolling tires at various slip rates, and enhance the safety and stability of vehicle operation, an approach for estimating the tire-road adhesion coefficient based on strain sensors and brush models was proposed. First, a finite element model of 205/55R16 radial tire was established, and the effectiveness of the model was verified through static ground contact and radial stiffness experiments. Then, the circumferential strain signal of the inner liner centerline of the tire during braking was extracted, utilizing the average peak angle spacing of the first-order and second-order circumferential strain curves, and the contact area length was estimated using the arc length formula. Subsequently, the braking simulation of rolling tires confirmed the asymmetry of pressure distribution within the ground contact area, estimating the position of slip points within the contact area based on arbitrary pressure distribution function and brush model, while nonlinear regression was utilized to fit the estimation function of slip point under various slip rates. Finally, a functional relationship was developed between tire-road adhesion coefficient and slip rate, considering the friction characteristics between tire rubber and road surface, while the friction model used is based on exponential decay. The results suggest that the methods described above enable estimation of the tire-road adhesion coefficient under different slip rates, providing valuable insights for intelligent tire applications in vehicle dynamics control.
UR  - https://www.sv-jme.eu/sl/article/identification-method-of-tire-road-adhesion-coefficient-based-on-tire-physical-model-and-strain-signal-for-pure-longitudinal-slip/

Zhang, Jintao, Jing, Zhecheng, Zhou, Haichao, Zhang, Yu, AND Wang, Guolin.
"Identification Method of Tire-Road Adhesion Coefficient Based on Tire Physical Model and Strain Signal for Pure Longitudinal Slip" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 71 Number 5-6 (01 April 2025)