Journal of Jilin University(Engineering and Technology Edition) ›› 2020, Vol. 50 ›› Issue (1): 19-28.doi: 10.13229/j.cnki.jdxbgxb20190068

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In⁃plane dynamic tire model for high⁃frequency excitation

Kong-hui GUO(),Shi-qing HUANG,Hai-dong WU()   

  1. State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130022, China
  • Received:2019-01-16 Online:2020-01-01 Published:2020-02-06
  • Contact: Hai-dong WU E-mail:guokh@jlu.edu.cn;wuhd@jlu.edu.cn

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Abstract:

In order to properly express the dynamic mechanical properties of tire under high-frequency excitation condition, a tire dynamic model is established, which discretizes the continuous physical structure of tire. The sidewall portion of the tire and the compressed air are discretized into a series of spring and damping units. The belt portion of the tire is discreted into a series of mass points which are uniformly distributed along the circumferential direction of the belt. The mass points are connected by elastic units that represents the tensile and bending properties of the belt. A number of massless contact elements between adjacent mass points are introduced for the calculation of contact forces in tire-road contact. The data of Tire Model Procedure Test (TMPT) is used for parameter identification and accuracy verification of the established tire dynamic model. The comparison results show that the tire dynamic model established in this paper can not only accurately express the static mechanical properties of the tire, but also express the high-frequency dynamic mechanical properties of the tire on typical uneven road surface well.

Key words: vehicle engineering, tire, high frequency dynamic model, discretization, uneven road

CLC Number: 

  • U463.34

Fig.1

Radial mode shape diagram of different orders"

Table 1

Radial modal test data of different orders"

阶次 频率/Hz 模态阻尼/%
R0 81.77 0.068
R1 97.35 0.044
R2 122.93 0.032
R3 149.47 0.024

Fig.2

Schematic diagram of discretized tire"

Fig.3

Two types of coordinate systems"

Fig.4

Local coordinate system of road"

Fig.5

Tread contact elements"

Fig.6

Equivalent belt bending force"

Fig.7

Change of contact element extremity"

Fig.8

Vector in different coordinate systems"

Fig.9

Vertical static stiffness verification on flat road"

Fig.10

Vertical static stiffness verification on lateral cleat"

Fig.11

Simulation of tire longitudinal stiffness"

Table 2

Longitudinal stiffness verification"

垂向载荷/N 试验数据/(N?mm-1) 仿真结果/(N?mm-1) 误差/%
2 940 397.7 397 0.18
4 704 435 434.1 0.2
6 468 412 411.6 0.1

Fig.12

Tire drum test bench"

Fig.13

Pulsed square wave road power spectrum"

Fig.14

Tire vertical force change"

Fig.15

"

Fig.16

"

Fig.17

"

Fig.18

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1 Pacejka H B . Tyre and Vehicle Dynamics[M]. Oxford: Butterworth-Heinemann, 2002.
2 Guo K H , Liu Q . Modeling and simulation of non-steady state cornering properties and identification of structure parameters of tyres[J]. Vehicle System Dynamics, 1997, 27(Sup.1): 80-93.
3 Guo K H , Lu D , Chen S , et al . The UniTire model: a nonlinear and non-steady-state tyre model for vehicle dynamics simulation[J]. Vehicle System Dynamics, 2005, 43(Sup.1): 341-358.
4 Guo K H , Lu D . UniTire: unified tire model for vehicle dynamic simulation[J]. Vehicle System Dynamics, 2007, 45(Sup.1): 79-99.
5 Pacejka H B , Bakker E . The magic formula tyre model[J]. Vehicle System Dynamics, 1992, 21(Sup.1): 1-18.
6 Pacejka H B . In-plane and out-of-plane dynamics of pneumatic tyres[J]. Vehicle System Dynamics, 1981, 10(4, 5): 221-251.
7 Gong S . A study of in-plane dynamics of tires[D]. Delft: College of Industrial Design Engineering, Delft University of Technology, 1993.
8 Gipser M . FTire:a physically based application-oriented tyre model for use with detailed MBS and finite-element sudpension models[J]. Vehicle System Dynamics, 2005, 43(Sup.1): 76-91.
9 Gipser M . FTire-the tire simulation model for all applications related to vehicle dynamics[J]. Vehicle System Dynamics, 2007, 45(Sup.1): 139-151.
10 Oertel C . On modeling contact and friction calculation of tyre response on uneven roads[J]. Vehicle System Dynamics, 1997, 27(Sup.1): 289-302.
11 Oertel C , Fandre A . Tire model RMOD-K 7 and misuse load case[J]. SAE Paper, 2009-01-0582.
12 Oertel C . Eigensystem of tangential contact in tyre models[J]. Vehicle System Dynamics, 2002, 38(4); 245-260.
13 Gallrein A , Bäcker M . CDTire: a tire model for comfort and durability applications[J]. Vehicle System Dynamics, 2007, 45(Sup.1): 69-77.
14 Baecke M , Gallrein A , Haga H . A tire models for very large tire deformation and its application in very severe events[J]. SAE International Journal of Materials and Manufacturing, 2010, 3(1): 142-151.
15 Gallrein A , Baecker M , Burger M , et al . An advanced flexible realtime tire model and its integration into fraunhofer’s driving simulator[C]∥SAE Paper, 2014-01-0861.
16 Li B , Yang X , Yang J , et al . In-plane parameters relationship between the 2D and 3D flexible ring tire models[C]∥SAE Paper, 2017-01-0414.
17 马文俊 . 车轮动态载荷冲击过程建模研究[D]. 长春: 吉林大学汽车工程学院, 2015.
Ma Wen-jun . Study on tire dynamic force during impact process[D]. Changchun: College of Automotive Engineering, Jilin University, 2015.
18 Guan Di-hua , Fan Cheng-jian , Xie Xian-hai . A dynamic tyre model of vertical performace rolling over cleats[J]. Vehicle System Dynamics, 2005, 43(Sup.1): 209-222.
19 Mlugner P , Plochl M . Specifications of the test procedures[J]. Vehicle System Dynamics, 2007, 45(Sup.1): 21-28.
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