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

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Fig.17

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Fig.18

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