Journal of Jilin University(Engineering and Technology Edition) ›› 2020, Vol. 50 ›› Issue (2): 389-398.doi: 10.13229/j.cnki.jdxbgxb20190172

   

Influence of anisotropic stiffness on tire mechanical properties and vehicle handling characteristics under combined slip situations

Xiao-yu LI1(),Nan XU1(),Tao QIU2,Kong-hui GUO1   

  1. 1.State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130022, China
    2.KH Automotive Technologies Co. Ltd. , Changchun 130012, China
  • Received:2019-02-22 Online:2020-03-01 Published:2020-03-08
  • Contact: Nan XU E-mail:lixiaoyuhy@foxmail.com;xunan@jlu.edu.cn

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Abstract:

In order to reveal the influence of anisotropic stiffness on tire mechanical properties and vehicle handling characteristics under combined slip situations. Firstly, the direction factor is introduced to describe the direction of resultant shear force in the contact patch, which improves the modeling accuracy of UniTire for combined slip tire forces; Secondly, the influence of anisotropy degree on tire mechanical properties is analyzed based on test data, and the expression of effective cornering stiffness considering the influence of tire anisotropy is constructed; Then a vehicle handling analysis model considering the influence of tire anisotropy is established, and the influence of longitudinal acceleration on vehicle handling characteristics is analyzed with different anisotropy values; Finally, the analysis results are simulated and validated with CarSim. The results show that with the strong anisotropy value, different braking/driving torque distribution modes have little effect on vehicle handling characteristics under combined slip situations. However, with the weak anisotropy value, the vehicle handling characteristics under combined slip situations are significantly affected by different braking/driving torque distribution modes.

Key words: vehicle engineering, UniTire tire model, anisotropic stiffness, combined slip situations, vehicle handling characteristics

CLC Number: 

  • U461.1

Fig.1

Tire axis system"

Fig.2

Normalized tire forces"

Fig.3

MTS Flat Trac plus steel belt high speed tire test bench"

Fig.4

Resultant forces at α=1° "

Fig.5

Direction of resultant force with direction factor λ"

Fig.6

Comparisons of lateral forces according to different direction"

Fig.7

Lateral force vs brake force according to different direction."

Fig.8

Contrast of UniTire model and test data under combined slip situations at 7 440 N load"

Fig.9

Direction of resultant force with different anisotropic degree"

Fig.10

Effective cornering stiffness with different anisotropic degree"

Fig.11

Effective cornering stiffness K ye expressed by Eq.(19) "

Fig.12

Schematic of single-track vehicle model"

Table 1

Parameters for tire contrast and analysis"

参数强各向异性刚度弱各向异性刚度
胎压/kPa150350
K y/K x0.2480.540
ρ10.0200.480
ηc[0.15,0.55,0.90]
a x/ g-0.4~0.4

Table 2

Vehicle parameters specification"

参数值
簧载质量 Ms/kg 1 800
前轴距质心距离 lf/m 1.016
后轴距质心距离 lr/m 1.524
轮距 d/m 1.5
质心高度 h/m 0.75
前轴/后轴非簧载质量（ muf/mur）/kg 80
前轴侧倾中心高度 hrcf/m 0.65
后轴侧倾中心高度 hrcr/m 0.6

Fig.13

Effect of longitudinal acceleration on steering radius during quasi-steady steering"

Fig.14

Diagram of CarSim and Simulink joint simulation"

Fig.15

Simulation of braking and steering combined slip situation"

Fig.16

Simulation of driving and steering combined slip situation"

1 郭孔辉. 汽车操纵动力学原理[M]. 南京： 江苏科学技术出版社, 2011: 58- 60.
2 Rafei M, Ghoreishy M H R, Naderi G. Thermo-mechanical coupled finite element simulation of tire cornering characteristics—effect of complex material models and friction law[J]. Mathematics and Computers in Simulation, 2018, 144: 35- 51.
3 Calabrese F, Baecker M, Galbally C, et al. A detailed thermo-mechanical tire model for advanced handling applications[J]. SAE International Journal of Passenger Cars-Mechanical Systems, 2015, 8( 2): 501- 511.
4 Bibin S, Pandey A K. A hybrid approach to model the temperature effect in tire forces and moments[J]. SAE International Journal of Passenger Cars-Mechanical Systems, 2017, 10( 1): 25- 37.
5 马彬, 许洪国, 刘宏飞. 路面分形和橡胶特性对轮胎滑动摩擦因数的影响[J]. 吉林大学学报: 工学版, 2013, 43( 2): 317- 322.
Ma Bin, Xu Hong-guo, Liu Hong-fei. Effects of road surface fractal and rubber characteristics on tire sliding friction factor[J]. Journal of Jilin University (Engineering and Technology Edition), 2013, 43( 2): 317- 322.
6 卢荡, 郭孔辉. 轮胎侧偏力学特性的胎压影响分析及预测[J]. 吉林大学学报: 工学版, 2011, 41( 4): 915- 920.
Lu Dang, Guo Kong-hui. Analysis and prediction of tire cornering property for different inflation pressure[J]. Journal of Jilin University (Engineering and Technology Edition), 2011, 41( 4): 915- 920.
7 Höpping K, Augsburg K, Büchner F. Extending the HSRI tyre model for large inflation pressure changes[C]∥ 59th Ilmenau Scientific Colloquium, Technische Universität Ilmenau,Ilmenau， 2017: 11- 15.
8 Kasprzak E M, Lewis K, Milliken D. Tire asymmetries and pressure variations in the Radt/Milliken nondimensional tire model[C]∥SAE Technical Paper, 2006-01-1968.
9 Mizuno M, Sakai H, Oyma K, et al. Development of a tyre force model incorporating the influence of the tyre surface temperature[J]. Vehicle System Dynamics, 2005, 43( Sup.1): 395- 402.
10 Gil G, Park J. Physical handling tire model incorporating temperature and inflation pressure change effect[C]∥SAE Technical Paper, 2018-01-1338.
11 许男. 复合工况下轮胎稳态模型研究[D]. 长春： 吉林大学汽车工程学院， 2012.
Xu Nan. Study on the steady state tire model under combined conditions[D]. Changchun： College of Automotive Engineering, Jilin University, 2012.
12 Reiter M, Wagner J. Automated automotive tire inflation system-effect of tire pressure on vehicle handling[J]. IFAC Proceedings, 2010, 43( 7): 638- 643.
13 Alexander V. Influence of tyre inflation pressure on fuel consumption, vehicle handling and ride quality-modelling and simulation[D]. Sweden: Chalmers University of Technology, 2013.
14 Abe M. Vehicle Handling Dynamics[M]. Amsterdam, Netherlands: Elsevier, 2009: 171- 182.
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