Analysis of Contact Dynamics Characteristics of Tire-snow Interaction in Semi-infinite Snow Region

doi:10.12382/bgxb.2022.0772

Abstract

Abstract:

The interaction between wheels and snow soil is the basis of vehicle safety in plateau, polar and other environments. In order to construct a dynamic wheel-snow interaction model accurately characterizing the contact characteristics between wheels and snow soil, a simulation model of plate sinkage was established to obtain the pressure sinkage relationship of typical snow soil. Based on hard snow soil, a numerical simulation model of wheel-snow interaction was established to simulate the interfacial force of wheels and snow. The results of plate sinkage test and vehicle test were used to verify the validity of the numerical model. Based on the average contact stress, an analytical model of the interfacial force between wheels and snow was established, and the simulation results were used to verify the analytical model. The results show that: 1) the numerical simulation model of plate sinkage in the semi-infinite region can reflect the pressure sinkage characteristics of snow soil, and the simulation results of wheel snow interaction have a good agreement with the actual wheel sinkage and motion resistance coefficient. 2) The simulation results show that when the wheel slip rate is positive, the relationship between wheel load and wheel sinkage and the interfacial force of wheel snow tend to be stable. When the wheel slip rate is negative, the wheel sinkage becomes larger, which leads to the increase of the normal stress part of vertical support force and motion resistance. 3) When the wheel slip rate is positive, the analytical model of wheely-snow interaction can accurately predict the interfacial force of wheely-snow.

Key words: wheel-snow interaction, pressure-sinkage, contact force, semi-infinite area

CLC Number:

TJ301

YAN Qingdong, ZHU Ming, WEI Wei, LIU Cheng, WANG Meiwei. Analysis of Contact Dynamics Characteristics of Tire-snow Interaction in Semi-infinite Snow Region[J]. Acta Armamentarii, 2024, 45(3): 925-933.

Figures/Tables 15

Fig.1 Disk loading deformation area

Table 1 Material parameters of snow MDPC

参数	数值
杨氏模量E/Pa	13.79×10⁶
泊松比ν	0.3
Drucker-Prager内聚力d/Pa	5 000
Drucker-Prage摩擦角β/(°)	22.53
Cap偏心率R	0.02
初始屈服面位置 $ε v o l p l$ \|₀	0.001
过渡面半径α	0
应力流率K	1
密度ρ/(kg·m^-3)	200

Table 1 Material parameters of snow MDPC

参数	数值
杨氏模量E/Pa	13.79×10⁶
泊松比ν	0.3
Drucker-Prager内聚力d/Pa	5 000
Drucker-Prage摩擦角β/(°)	22.53
Cap偏心率R	0.02
初始屈服面位置 $ε v o l p l$ \|₀	0.001
过渡面半径α	0
应力流率K	1
密度ρ/(kg·m^-3)	200

Table 2 Hardening parameters of snow

静水压力/Pa	塑性体积应变
113.76	0
0.05×10⁶	0.593
0.1×10⁶	0.669
0.2×10⁶	0.806
0.5×10⁶	0.944
1.0×10⁶	1.083
2.0×10⁶	1.299
2.8×10⁶	1.455
3.25×10⁶	1.475
6.0×10⁶	1.5
6.0×10⁷	1.514

Fig.2 Simulation experiment of disk loading(the radius from left to right is 0.125m, 0.150m and 0.175m respectively)

Fig.3 Snow pressure subsidence relationship

Fig.4 Wheel-snow interactive geometry model

Fig.5 Wheel-snow interactive simulation model

Fig.6 Verification of vertical supporting force formed by normal stress

Fig.7 Shear stress distribution under wheel-snow interaction

Fig.8 Relationship between center sag and slip state of wheel

Fig.9 The relationship between traction and slip rate

Fig.10 The relationship between motion resistance and slip rate

Fig.11 Disk loading test verification

Fig.12 Comparison of simulation and experimental results of plastic deformation of snow soil

Fig.13 Verification of wheel-snow interactive simulation model

References 26

[1]	SCHMID I C. Interaction of vehicle and terrain results from 10 years research at IKK[J]. Journal of Terramechanics, 1995, 32(1):3-26. doi: 10.1016/0022-4898(95)00005-L URL
[2]	ABELE G, GOW A J. Compressibility characteristics of undisturbed snow[M]. Hanover,NH,US: US Army Cold Regions Research and Engineering Laboratory, 1975.
[3]	PERLA R, BECK T M H, CHENG T T. The shear strength index of alpine snow[J]. Cold Regions Science and Technology, 1982, 6(1):1-20. doi: 10.1016/0165-232X(82)90039-8 URL
[4]	MALCOLM M. A review of basic snow mechanics[M]. Hanover,NH,US: US Army Cold Regions Research and Engineering Laboratory, 1974.
[5]	ALGER R, OSBORNE M. Snow characterization field data collection results[R]. Final Report No. ACA89-85-K-002, Houghton, MI, US: Keweenaw Research Center, Michigan Technological University, 1989.
[6]	BLAISDELL G L, RICHMOND P W, SHOOP S A. Wheels and tracks in snow:validation study of the CRREL shallow snow mobility model[R]. CRREL Report No.90-137. Hanover, NH, US: U.S.Army Cold Regions Research and Engineering Laboratory, 1990.
[7]	POTTINGER M G, MCINTYRE I J E, KEMPAINEN A J. Truck tire force and moment in cornering-braking-driving on ice, snow, and dry surfaces[J]. SAE Transactions, 2000, 109(2):629-636.
[8]	CUTINI M, BRAMBILLA M, TOSCANO P, et al. Evaluation of drawbar performance of winter tyres for special purpose vehicles[J]. Journal of Terramechanics, 2020, 87:29-36. doi: 10.1016/j.jterra.2019.10.002 URL
[9]	SHOOP S, KNUTH M, WIEDER W. Measuring vehicle impacts on snow roads[J]. Journal of Terramechanics, 2013, 50(1):63-71. doi: 10.1016/j.jterra.2013.01.004 URL
[10]	SHOOP S A. Finite element modeling of tire-terrain[M]. Ann Arbor,MI,US: Bell & Howell Information and Learning Company, 2001.
[11]	SHOOP S A, KESTLER K, HAEHNEL R. Finite element modeling of tires on snow[J]. Tire Science and Technology, 2006, 34(1):2-37. doi: 10.2346/1.2169827 URL
[12]	HAEHNEL R B, SHOOP S A. A macroscale model for low density snow subjected to rapid loading[J]. Cold Regions Science and Technology, 2004, 40(3):193-211. doi: 10.1016/j.coldregions.2004.08.001 URL
[13]	LEE J H. A new indentation model for snow[J]. Journal of Terramechanics, 2009, 46(1):1-13. doi: 10.1016/j.jterra.2009.02.001 URL
[14]	LEE J H. Finite element modeling of interfacial forces and contact stresses of pneumatic tire on fresh snow for combined longitudinal and lateral slips[J]. Journal of Terramechanics, 2011, 48(3):171-197. doi: 10.1016/j.jterra.2010.12.003 URL
[15]	LEE J H. Predictive semi-analytical model for tire-snow interaction[R]. Detroit, MI, US: SAE Technical Paper, 2005.
[16]	LEE J H. Interfacial forces between tire and snow under different snow depths[R]. Detroit, MI, US: SAE Technical Paper, 2006.
[17]	LEE J H, LIU Q, MOURELATOS Z P. Simulation of tire-snow interfacial forces for a range of snow densities with uncertainty[C]//Prcoeedings of 2006 SAE World Congress. Detroit, MI, US: SAE, 398-407.
[18]	LEE J H. An improved slip-based model for tire-snow interaction[J]. SAE International Journal of Materials and Manufacturing, 2011, 4(1):278-288. doi: 10.4271/2011-01-0188 URL
[19]	CHOI J H, CHO J R, WOO J S, et al. Numerical investigation of snow traction characteristics of 3-D patterned tire[J]. Journal of Terramechanics, 2012, 49(2):81-93. doi: 10.1016/j.jterra.2012.01.003 URL
[20]	MICHAEL M. A discrete approach to describe the kinematics between snow and a tire tread[D]. Luxembourg: University of Luxembourg, 2014.
[21]	富翔. 东北地区季节性积雪热特性及力学性质研究[D]. 哈尔滨: 东北农业大学, 2020.
	FU X. Research on thermal and mechanical properties of seasonal snow cover in Northeast China[D]. Harbin: Northeast Agricultural University, 2020. (in Chinese)
[22]	吴杨. 具有压缩功能的小型除雪机的开发设计研究[D]. 唐山: 华北理工大学, 2015.
	WU Y. Research on the development and design of a small snow blower with compression function[D]. Tangshan: North China University of Science and Technology, 2015. (in Chinese)
[23]	穆存远, 孙立新, 韩家东. 城市道路积雪物理机械性能测试研究[J]. 机械设计与制造, 2001(3):73-74.
	MU C Y, SUN L X, HAN J D. Research on physical and mechanical properties of urban road snow cover[J]. Mechanical Design and Manufacture, 2001(3):73-74. (in Chinese)
[24]	袁永丽. 雪地车设计研究[D]. 青岛: 中国石油大学, 2009.
	YUAN Y L. Research on snowmobile design[D]. Qingdao: China University of Petroleum, 2009. (in Chinese)
[25]	闫清东, 科蒂耶夫, 魏巍, 等. 极地车辆车轮与雪壤交互作用模型研究综述[J]. 车辆与动力技术, 2021(4):55-62.
	YAN Q D, KOTIEVGO, WEI W, et al. A review of the interaction model between polar vehicle wheels and snow soil[J]. Vehicle and Power Technology, 2021(4):55-62. (in Chinese)
[26]	郑祖美, 臧孟炎, 曾海洋. 基于离散元与有限元耦合的充气轮胎沙土路面行驶性能仿真方法研究[J]. 兵工学报, 2017, 38(9):1822-1829. doi: 10.3969/j.issn.1000-1093.2017.09.020
	ZHENG Z M, ZANG M Y, ZENG H Y. Analysis of travel performance of pneumatic tire on unpaved road by discrete-finite element method[J]. Acta Armamentarii, 2017, 38(9):1822-1829.