Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (12): 3305-3313.doi: 10.13229/j.cnki.jdxbgxb.20220093

   

UniTire tire model including in⁃plane dynamic characteristics

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

  1. State Key Laboratory of Automotive Simulation and Control，Jilin University，Changchun 130022，China
  • Received:2022-01-25 Online:2023-12-01 Published:2024-01-12
  • Contact: Hai-dong WU E-mail:guokh@jlu.edu.cn;wuhd@jlu.edu.cn

RICH HTML

 23   

PDF (PC)

385

Abstract:

The tire low-frequency handling model and the high-frequency durability model were unified， and the UniTire tire model including in-plane dynamic characteristics was proposed. The steady-state UniTire is the zero-frequency output of the tire dynamic system. When the frequency of the tire motion input signal is infinite， the output of the wheel center force is zero. Using these as boundary condition， the transfer characteristics of the tire dynamic system are established. Considering that in the simulation of the vehicle virtual proving ground （VPG）， the load history of the wheel center is mainly affected by the rigid ring modes of the tire， that is， the in-plane frequency is less than 100 Hz， and the out-of-plane frequency is less than 60 Hz. Higher frequency components contribute to the load analysis of the wheel center indistinctively， so a second-order transfer model that satisfies the boundary conditions is established. Finally， using typical tire dynamic test data， the tire model parameter identification and test verification are carried out. The comparison results show that the proposed model can accurately express the in-plane tire dynamic characteristics.

Key words: vehicle engineering, durability model, tire, dynamic characteristics, broadband

CLC Number: 

  • U463.34

Fig.1

Diagrams of rigid ring modes in different directions"

Table 1

Test data of rigid ring modes in different directions"

振动模式阶次频率/Hz模态阻尼/%
面内转动R081.770.068
面内移动R197.350.044
面外移动T047.200.021
面外扭动T161.400.029

Fig.3

Self-power spectrum of wheel center vertical force under different speeds and loads"

Fig.4

Self-power spectrum of wheel center longitudinal force under different speeds and loads"

Fig.2

Tire drum test bench"

Fig.5

Equivalent road height and inclination"

Fig.6

Basic curve of the cleat and the formation of equivalent height and equivalent inclination"

Fig.7

Comparison of curve superimposed equivalent road surface and test data when the load is 2940 N"

Fig.8

Comparison of curve superimposed equivalent road surface and test data when the load is 4704 N"

Fig.9

Tire vertical rigid ring model"

Fig.10

In-plane rigid ring model"

Fig.11

Comparison of simulation results and test data when v=30 km/h， fz =2940 N"

Fig.12

Comparison of simulation results and test data when v=30 km/h， fz =4704 N"

Fig.13

Comparison of simulation results and test data when v=60 km/h， fz =2940 N"

Fig.14

Comparison of simulation results and test data when v=60 km/h， fz =4704 N"

1 Pacejka H B. Tyre and Vehicle Dynamics[M]. Oxford: Butterworth-Heinemann, 2002.
2 Gipser M. FTire-the tire simulation model for all applications related to vehicle dynamics[J]. Vehicle System Dynamics, 2007, 45(Sup.1): 139-151.
3 Gipser M. FTire and puzzling tyre physics: teacher, not student[J]. Vehicle System Dynamics, 2016, 54(4): 448-462.
4 Gallrein A, Bäcker M. CDTire:a tire model for comfort and durability applications[J]. Vehicle System Dynamics, 2007, 45(Sup.1): 69-77.
5 Backer M, Gallrein A, Noise Roller M., vibration, harshness model of a rotating tyre[J]. Vehicle System Dynamics, 2016, 54(4): 474-491.
6 Gallrein A, Bäcker M, Gizatullin A. Structural MBD tire models: closing the gap to structural analysis-history and future of parameter identification[C]∥SAE Paper, 2013-01-0630.
7 Oertel C. On modeling contact and friction calculation of tyre response on uneven roads[J]. Vehicle System Dynamics,1997, 27(Sup.1): 289-302.
8 Oertel C, Fandre A. Tire model RMOD-K 7 and misuse load cases[C]∥SAE Paper, 2009-01-0582.
9 Guan Di-hua, Fan Cheng-jian. Tire modeling for vertical properties including enveloping properties using experimental modal parameters[J]. Vehicle System Dynamics, 2003, 40(6): 419-433.
10 危银涛, 冯希金, 冯启章, 等. 轮胎动态模型研究的进展[J]. 汽车安全与节能学报, 2014, 5(4): 311-323.
Wei Yin-tao, Feng Xi-jin, Feng Qi-zhang, et al. State of art for tire dynamical model research[J]. Journal of Automotive Safety and Energy, 2014, 5(4): 311-323.
11 吴海东. 不平路面中频激励轮胎动态特性研究[D]. 长春: 吉林大学汽车工程学院,2007.
Wu Hai-dong, study of tire dynamic properties under uneven road and medium frequency excitation[D]. Changchun: College of Automotive Engineering, Jilin University, 2007.
12 Wu Hai-dong, Guo Kong-hui, Xu Hai-bin. Dynamic tire model used in advanced chassis control[C]∥2011 International Conference on Electric Information and Control Engineering: International Workshop of Automobile, Power and Energy Engineering, Wuhan, China, 2011: 4957-4961.
13 Liu Z H, Gao Q H. In-plane vibration response of time and frequency domain with rigid-elastic coupled tire model with continuous sidewall[J].Proceedings of the Institution of Mechanical Engineers,Part K:Journal of Multi-body Dynamics, 2018, 232(4) :429-445.
14 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.
15 Lugner P, Plöchl M. Specifications of the test procedures[J]. Vehicle System Dynamics, 2007, 45(Sup.1): 21-28.
16 Bandel P, Monguzzi C. Simulation model of the dynamic behavior of a tire running over an obstacle[J]. Tire Science and Technology, 1988, 16(2): 62-77.
[1] Zhao-wei CHEN,Qian-hua PU. Suppression characteristics of vehicle⁃bridge coupling vibration of long⁃span cable⁃stayed bridge with resilient wheels [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(9): 2519-2532.
[2] Ping-yi LIU,Xiao-ting LI,Ruo-lin GAO,Hai-tao LI,Wen-jun WEI,Ya WANG. Design and experiment of tilt-driving mechanism for the vehicle [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(8): 2185-2192.
[3] Xue-jin HUANG,Jin-xing ZHONG,Jing-yu LU,Ji ZHAO,Wei XIAO,Xin-mei YUAN. Electric vehicle charging load forecasting method based on user portrait [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(8): 2193-2200.
[4] Zhe ZHANG,Shi-da SONG,Guo-hua WANG,Ying-chao ZHANG. Aerodynamic characteristics of a racing car in pitching motion [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(8): 2201-2211.
[5] Shu-pei ZHANG,Ming-yue XIA,Wei ZHANG,Zhao CHEN,Yi-xiang CHEN. Impact dynamic modeling and simulation for ball joint with clearance considering nonlinear stiffness [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(8): 2227-2235.
[6] Hui CHEN,Ya-jun SHAO. Measurement method of pavement surface spectrum with multi⁃sensor coupling based on inertial benchmark [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(8): 2254-2262.
[7] Guo-jin TAN,Qing-wen KONG,Xin HE,Pan ZHANG,Run-chao YANG,Yang-jun CHAO,Zhong YANG. Bridge scour depth identification based on dynamic characteristics and improved particle swarm optimization algorithm [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1592-1600.
[8] Shao-hua WANG,Kun CHU,De-hua SHI,Chun-fang YIN,Chun LI. Robust compound coordinated control of HEV based on finite⁃time extended state observation [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(5): 1272-1281.
[9] Xin CHEN,Guan-chen ZHANG,Kang-ming ZHAO,Jia-ning WANG,Li-fei YANG,De-rong SITU. Influence of lap welds on the lightweight design of welded aluminum structures [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(5): 1282-1288.
[10] Yong ZHANG,Feng-zhao MAO,Shui-chang LIU,Qing-yu WANG,Shen-gong PAN,Guang-sheng ZENG. Optimization on distortion grid of vehicle external flow field based on Laplacian Algorithm [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(5): 1289-1296.
[11] Lei CHEN,Yang WANG,Zhi-sheng DONG,Ya-qi SONG. A vehicle agility control strategy based on steering intent [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(5): 1257-1263.
[12] Yan-li YIN,Xue-jiang HUANG,Xiao-liang PAN,Li-tuan WANG,Sen ZHAN,Xin-xin ZHANG. Hierarchical control of hybrid electric vehicle platooning based on PID and Q⁃Learning algorithm [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(5): 1481-1489.
[13] Gui-shen YU,Xin CHEN,Zi-tao WU,Yi-xiong CHEN,Guan-chen ZHANG. Analysis of microstructure and mechanical properties of probeless friction stir spot welding joint in AA6061⁃T6 aluminum thin plate [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(5): 1338-1344.
[14] Yan-tao TIAN,Xing HUANG,Hui-qiu LU,Kai-ge WANG,Fu-qiang XU. Multi⁃mode behavior trajectory prediction of surrounding vehicle based on attention and depth interaction [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(5): 1474-1480.
[15] Hong-bo YANG,Wen-ku SHI,Zhi-yong CHEN,Nian-cheng GUO,Yan-yan ZHAO. Multi⁃objective optimization of macro parameters of helical gear based on NSGA⁃Ⅱ [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(4): 1007-1018.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd