Journal of Jilin University(Engineering and Technology Edition) ›› 2019, Vol. 49 ›› Issue (3): 757-765.doi: 10.13229/j.cnki.jdxbgxb20171082

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Simulation of vehicle braking performance on rainy daysbased on pavement surface fractal friction theory

Xiao⁃ming HUANG1(),Qing⁃qing CAO1,Xiu⁃yu LIU1,Jia⁃ying CHEN1,Xing⁃lin ZHOU2   

  1. 1. School of Transportation, Southeast University, Nanjing 210096, China
    2. School of Automobile and Traffic Engineering, Wuhan University of Science and Technology, Wuhan 430070, China
  • Received:2017-11-09 Online:2019-05-01 Published:2019-07-12

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Abstract:

To investigate vehicle braking performance on wet asphalt pavement, a method was developed to simulate the vehicle braking process on rainy days considering rubber?pavement friction and water film hydrodynamic force. Firstly, the pavement surface fractal friction theory was applied to calculate the rubber?pavement kinetic friction coefficient based on pavement surface power spectrum and rubber complex modulus. Secondly, a finite element tire hydroplaning model was constructed to determine the tire?water film?pavement interaction force with different vehicle velocity and water film thickness. Based on these, a full vehicle dynamic model was constructed to evaluate the vehicle braking performance on wet straight road and curved road, and vehicle anti?lock braking mechanism was analyzed. Research results show that the rubber?pavement kinetic friction coefficient declines by 13%~34% when pavement becomes wet. In the tire hydroplaning process, tire-pavement contact force rises and water uplifting force drops with the increase in vehicle velocity and water film thickness. The lower vehicle velocity, the smaller water film thickness and the equipment of anti-lock braking system are useful in reducing vehicle braking distance. Compared with critical tire hydroplaning speed, the full vehicle model is superior in coinciding with the actual situation in evaluating vehicle driving performance on wet pavement.

Key words: road engineering, vehicle braking performance, pavement surface fractal friction theory, tire?pavement grip behavior, anti?lock braking, tire hydroplaning

CLC Number: 

  • U416.217

Fig.1

Schematic diagram of rubber?pavement friction mechanism"

Fig.2

Pavement surface topography through optical scanning"

Fig.3

Dry and wet pavement surface power spectrum"

Fig.4

Rubber complex modulus"

Fig.5

Kinetic friction coefficient of dry and wet pavement"

Fig.6

Components of finite element model"

Table1

Parameters of tire hydroplaning finite"

参 数取值
轮胎型号170?70?R15
轮胎单元数量734156
轮胎花纹纵横向花纹
轮胎轴载/N3922
充气压力/kPa240
水膜模型尺寸/mm320×390×80
水膜单元数量381420
水膜厚度/mm10
路面MPD值/mm0.65
轮胎滑移率/%17.5

Fig.7

Tire contact force on dry and wet road"

Fig.8

Tire?water film?pavement contact force"

Table 2

Parameters of full vehicle dynamic model"

参 数取值
长宽高/mm3350×1739×1378
质心高度/mm540
质心到前轴距离/mm1015
质心到后轴距离/mm1795
左右轮距/mm1540
簧上质量/kg1270
整车质量/kg1422
X轴回转半径/m0.650
Y轴回转半径/m1.100
Z轴回转半径/m1.100
轮胎转动惯量/(kg·mm2)0.9
车辆侧倾惯量Ixx/(kg·m2)536.6
车辆俯仰惯量Iyy/(kg·m2)1536.7
车辆偏航惯量Izz/(kg·m2)1536.7

Fig.9

ABS braking mechanism"

Fig.10

Carsim/Simulink co?simulation"

Fig.11

Vehicle velocity and braking distance in"

Fig.12

Vehicle braking distance on straight road"

Fig.13

Vehicle braking performance on curve"

1 HorneW B, JoynerU T. Pneumatic tire hydroplaning and some effects on vehicle performance[R]. Hampton, Virginia, USA: Langley Research Center, 1965: 1⁃28.
2 GroggerH, WeissM. Calculation of the three⁃dimensional free surface flow around an automobile tire[J]. Tire Science and Technology, 1996, 24(1): 39⁃49.
3 OngG P, FwaT F. A mechanistic interpretation of braking distance specifications and pavement friction requirements[J]. Transportation Research Record：Journal of the Transportation Research Board, 2010, 2155: 145⁃157.
4 FwaT F, PasinduH R, OngG P. Critical rut depth for pavement maintenance based on vehicle skidding and hydroplaning consideration[J]. Journal of Transportation Engineering, 2012, 138(4): 423⁃429.
5 JuF, FwaT F, OngG P. Evaluating wet weather driving benefits of grooved pavements[J]. International Journal of Pavement Research & Technology, 2013, 6(4): 287⁃293.
6 PasinduH R, FwaT F. Improving wet⁃weather runway performance using trapezoidal grooving design[J]. Transportation in Developing Economies, 2015, 1(1): 1⁃10.
7 ZhouHai⁃chao, WangGuo⁃lin, DingYang⁃min, et al. Effect of friction model and tire maneuvering on tire⁃pavement contact stress[J]. Advances in Materials Science and Engineering, 2015, 2015: 632647.
8 ZhuS, LiuX, CaoQ, et al. Numerical study of tire hydroplaning based on power spectrum of asphalt pavement and kinetic friction coefficient[J/OL].[2017-10-28].http:∥downloads.hindawi.com/journals/amse/2017/5843061.
pdf.
9 刘修宇, 曹青青, 朱晟泽, 等. 沥青混凝土路面轮胎临界滑水速度数值模拟[J]. 东南大学学报: 自然科学版, 2017, 47(5): 1020⁃1025.
LiuXiu⁃yu, CaoQing⁃qing, ZhuSheng⁃ze, et al. Numerical simulation of tire critical hydroplaning speed on asphalt pavement [J]. Journal of Southeast University (Natural Science Edition), 2017,47(5): 1020⁃1025.
10 黄晓明，刘修宇，曹青青，等. 积水路面轮胎部分滑水数值模拟[J]. 湖南大学学报: 自然科学版, 2018, 45(9): 113⁃121.
HuangXiao⁃ming, LiuXiu⁃yu, CaoQing⁃qing, et al. Numerical simulation of tire partial hydroplaning on flooded pavement[J]. Journal of Hunan University (Natural Science Edition), 2018, 45(9): 113⁃121.
11 PerssonB N J. Theory of rubber friction and contact mechanics[J]. Journal of Chemical Physics, 2001, 115(8): 3840⁃3861.
12 张敏, 郭鑫鑫, 张驰. 积水条件下考虑行车安全的车辙长度仿真分析[J]. 系统仿真学报, 2015, 27(4): 747⁃754.
ZhangMin, GuoXin⁃xin, ZhangChi. Simulation analysis of rutting length based on driving safety under condition of road waterlogging[J]. Journal of System Simulation, 2015, 27(4): 747⁃754.
13 徐进, 彭其渊, 邵毅明. 直线路段积水路面车辆事故产生机理分析[J]. 中国公路学报, 2009, 22(1): 97⁃103.
XuJin, PengQi⁃yuan, ShaoYi⁃ming. Mechanism analysis of vehicle accident on surface gathered water in straight sections[J]. China Journal of Highway and Transport, 2009, 22(1): 97⁃103.
14 PerssonB N J, TartaglinoU, AlbohrO, et al. Rubber friction on wet and dry road surfaces: the sealing effect[J]. Physical Review B, 2005, 71(3): 035428.
15 PerssonB N. Rubber friction and tire dynamics[J]. Journal of Physics⁃Condensed Matter, 2011, 23(1): 015003.
16 LorenzB, PerssonB N, FortunatoG, et al. Rubber friction for tire tread compound on road surfaces[J]. Journal of Physics⁃Condensed Matter, 2013, 25(9): 095007.
17 LorenzB, OhY R, NamS K, et al. Rubber friction on road surfaces: experiment and theory for low sliding speeds[J]. The Journal of Chemical Physics. 2015, 142(19): 194701.
18 赵战利. 基于分形方法的沥青路面抗滑技术研究[D]. 西安：长安大学公路学院, 2005.
ZhaoZhan⁃li. Research on pavement skid resistance technique based on fractal methods[D]. Xi′an: Highway College, Chang′an University, 2005.
19 HouY, HuangY, SunF, et al. Fractal analysis on asphalt mixture using a two⁃dimensional imaging technique[J]. Advances in Materials Science and Engineering, 2016, 2016:8931295.
20 冉茂平, 肖旺新, 周兴林, 等. 基于三维分形维数的沥青路面抗滑性能研究[J]. 公路交通科技, 2016(2): 28⁃32.
RanMao⁃ping, XiaoWang⁃xin, ZhouXing⁃lin, et al. Research of skid resistance of asphalt pavement based on 3D fractal dimension[J]. Journal of Highway and Transportation Research and Development, 2016(2): 28⁃32.
21 童申家, 谢祥兵, 赵大勇. 沥青路面纹理分布的分形描述及抗滑性能评价[J]. 中国公路学报, 2016, 29(2): 1⁃7.
TongShen⁃jia, XieXiang⁃bing, ZhaoDa⁃yong. Fractal description of texture distribution and evaluation of skid⁃resistance performance for asphalt pavement[J]. China Journal of Highway and Transport, 2016, 29(2): 1⁃7.
22 PerssonB N J. On the fractal dimension of rough surfaces[J]. Tribology Letters, 2014, 54(1): 99⁃106.
23 JohannessonP, RychlikI. Laplace processes for describing road profiles[J]. Procedia Engineering, 2013, 66: 464⁃473.
24 JTJ—05995.公路路基路面现场测试规程[S].
25 郭孔辉. Unitire统一轮胎模型[J]. 机械工程学报, 2016, 52(12): 90⁃99.
GuoKong⁃hui. UniTire: unified tire model[J]. Journal of Mechanical Engineering, 2016, 52(12): 90⁃99.
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