考虑热机耦合的MEEW力学建模与分析

doi:10.3901/JME.260334

摘要/Abstract

摘要： 轮胎力学特性受到多种复杂因素的影响，为了更加精确地表达机械弹性电动轮(Mechanical elastic electric wheel，MEEW)的力学特性，提出一种考虑热机耦合的MEEW力学模型。通过理论建模与试验验证相结合的方式开展研究，首先采用多功能摩擦磨损试验机进行多变量下的摩擦磨耗试验，对修正后的Savkoor摩擦模型进行拟合，分析温度、滑移速度、负载、路面条件等因素对MEEW胎面摩擦性能的影响；并对Lupker H磨耗模型进行修正与拟合，分析温度、滑移能量对MEEW胎面磨耗的影响。其次，通过分析温度、摩擦、磨耗等因素对力学模型的影响，修正了刷子模型。接着，使用轮胎综合力学特性试验台对所建立的模型进行了验证。最后，通过设计仿真工况，对比了刷子模型和考虑热机耦合的MEEW力学模型两种轮胎力学模型的表征效果。结果表明，所提出的考虑热机耦合的MEEW力学模型在准确表达MEEW力学性能的前提下，充分体现了温度、摩擦因数、滑移速度等因素的影响，验证了本研究的可行性与有效性。

关键词: 汽车与机械工程, 轮胎力学模型, 摩擦磨耗试验, MEEW

Abstract: The mechanical properties of tires are influenced by various complex factors. To express the mechanical characteristics of the mechanical elastic electric wheel (MEEW) more accurately, a thermo-mechanical coupled MEEW mechanical model is proposed. This study combines theoretical modeling with experimental validation. First, a multifunctional friction and wear testing machine is used to conduct friction and wear tests under multiple variables. The revised Savkoor friction model is fitted to analyze the effects of temperature, slip velocity, load, and road conditions on the friction performance of the MEEW tread. The Lupker H wear model is modified and fitted to examine the impact of temperature and slip energy on tread wear. Next, the brush model is revised by analyzing the influences of temperature, friction, and wear on the mechanical model. The established model is then validated using comprehensive mechanical characteristics testing platform for tires. Finally, the brush model and the thermo-mechanical coupled MEEW mechanical model are compared in simulation conditions to evaluate their performance. The results demonstrate that the proposed thermo-mechanical coupled MEEW mechanical model accurately represents the mechanical performance of the MEEW while effectively capturing the impacts of temperature, friction coefficient, slip velocity, and other factors, confirming the feasibility and validity of this research.

Key words: automotive and mechanical engineering, tire mechanical model, friction and wear test, MEEW

中图分类号:

U467

林棻, 刘轩江, 赵又群, 马洪旺, 臧利国. 考虑热机耦合的MEEW力学建模与分析[J]. 机械工程学报, 2026, 62(12): 297-309.

LIN Fen, LIU Xuanjiang, ZHAO Youqun, MA Hongwang, ZANG Liguo. Modelling and Analysis of Mechanical Model of MEEW Considering Thermo-mechanical Coupling[J]. Journal of Mechanical Engineering, 2026, 62(12): 297-309.

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链接本文: http://www.cjmenet.com.cn/CN/10.3901/JME.260334

http://www.cjmenet.com.cn/CN/Y2026/V62/I12/297

参考文献

[1] 于清溪. 轮胎摩擦特性的探讨[J]. 橡塑技术与装备， 2013，39(3):8-20. YU Qingxi. Discussion of friction haracteristics of Tires[J]. China Rubber/Plastics Technology and Equipment，2013，39(3):8-20.
[2] GROSCH K. The relation between the friction and visco-elastic properties of rubber[J]. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences，1963，274(1356):21-39.
[3] HUEMER T，LIU W，EBERHARDSTEINER J，et al. A 3D finite element formulation describing the frictional behavior of rubber on ice and concrete surfaces[J]. Engineering Computations，2001，18(3/4):417-37.
[4] SAVKOOR A. Some aspects of friction and wear of tyres arising from deformations，slip and stresses at the ground contact[J]. Wear，1966，9(1):66-78.
[5] SHARP R，GRUBER P，FINA E. Circuit racing，track texture，temperature and rubber friction[J]. Vehicle System Dynamics，2016，54(4):510-25.
[6] KELLY D P，SHARP R S. Time-optimal control of the race car: influence of a thermodynamic tyre model[J]. Vehicle system dynamics，2012，50(4):641-62.
[7] SHARMA A K，BOUTELDJA M，CEREZO V. Multi-physical model for tyre–road contact–the effect of surface texture[J]. International Journal of Pavement Engineering，2022，23(3):755-772.
[8] TANG T，ANUPAM K，KASBERGEN C，et al. Finite element studies of skid resistance under hot weather condition[J]. Transportation research record，2018，2672(40):382-394.
[9] ZHU M，ZHAO Y，LIN F，et al. Thermodynamics modeling of a novel nonpneumatic mechanical elastic wheel for predicting its mechanical–Thermal behavior[J]. Numerical Heat Transfer，Part A:Applications，2019， 75(7):435-455.
[10] 卢荡，卢磊，吴海东，等. 磨损对轮胎侧偏刚度和回正刚度影响的研究[J]. 机械工程学报，2020，56(12):174-183. LU Dang，LU Lei，WU Haidong，et al. Study on influence of wear on tire cornering stiffness and aligning stiffness[J]. Journal of Mechanical Engineering，2020，56(12):174-183.
[11] 彭旭东，郭孔辉，丁玉华，等. 橡胶和轮胎的摩擦[J]. 橡胶工业，2003(9):562-568. PENG Xudong，GUO Konghui，DING Yuhua，et al. Friction of rubber and tires[J]. China Rubber Industry，2003(9):562-568.
[12] NGUYEN V，ZHENG D，SCHMERWITZ F，et al. An advanced abrasion model for tire wear[J]. Wear，2018，396:75-85.
[13] 任振兴，王鹭飞，韩磊，等.轮胎耐磨性能探讨与出租车专用轮胎的开发[J]. 轮胎工业，2024，44(3):145-149. REN Zhenxing，WANG Lufei，HAN Lei，et al. Exploration of tire wear resistance and development of special tire for taxi[J]. Tire Industry，2024，44(3):145-149.
[14] 孙馨. 基于轮胎结构参数的胎/路接触特性与磨耗性能研究[D]. 厦门:厦门理工学院, 2023. SUN Xin. Research on tire/road contact characteristics and wear performance based on tire structural parameters[D]. Xiamen:Xiamen University of Technology，2023.
[15] 陈仁全，王君，邱昌峰，等. 轮胎实车磨耗试验数据分析方法的研究[J]. 轮胎工业，2022，42(12):763-766. CHEN Renquan，WANG Jun，QIU Changfeng，et al. Study on analysis method of tire vehicle wear test data[J]. Tire Industry，2022，42(12):763-766.
[16] 赵琪，王伟.子午线轮胎胎面花纹磨耗的数值模拟[J]. 弹性体，2022，32(2):11-17. ZHAO Qi，WANG Wei. Numerical simulation of tread pattern wear of radial tire[J]. China Elastomerics，2022，32(2):11-17.
[17] 汪洪波，王春阳，赵林峰，等. 基于强化学习的智能车辆路径跟踪变参数MPC多目标控制[J]. 中国公路学报，2024，37(3):157-169. WANG Hongbo，WANG Chunyang，ZHAO Linfeng，et al. Variable-parameter MPC multi-objective control for intelligent vehicle path tracking based on reinforcement learning[J]. China Journal of Highway and Transport，2024，37(3):157-169.
[18] GIM G，NIKRAVESH P E. A three dimensional tire model for steady-state simulations of vehicles[J]. SAE Transactions，1993，102:150-159.
[19] 贺宜，张亚卿，杜宇豪，等. 基于运动跟踪的全矢量四轴无人重载车辆横纵向分层协同控制[J]. 中国公路学报，2025，38(12):1-18. HE Yi，ZHANG Yaqing，DU Yuhao，et al. Dynamic simplex algorithm-based optimal observer for vehicle state[J]. China Journal of Highway and Transport. 2025，38(12):1-18.
[20] 段顺昌，许男，石琴，等. 考虑迟滞特性的轮胎纵向动力学模型[J]. 机械工程学报，2023，59(12):364-372. DUAN Shunchang，XU Nan，SHI Qin，et al. Longitudinal dynamic model of tire considering hysteresis characteristics[J]. Journal of Mechanical Engineering，2023，59(12):364-372.
[21] KAYACAN E，ONIZ Y，KAYNAK O. A grey system modeling approach for sliding-mode control of antilock braking system[J]. IEEE Transactions on Industrial Electronics，2009，56(8):3244-3252.
[22] GERMANN， WURTENBERGER， DAISS. Monitoring of the friction coefficient between tyre and road surface[C]// Proceedings of the 1994 proceedings of IEEE International Conference on Control and Applications:IEEE，1994.
[23] 吴相稷，杨秀建，陈峥，等. 极限操纵工况下CACC汽车队列的非线性动力学特性[J]. 中国公路学报，2024，37(9):301-311. WU Xiangji，YANG Xiujian，CHEN Zheng，et al. Nonlinear dynamic characteristics of the CACC vehicular platoon under critical maneuvering condition[J]. China Journal of Highway and Transport，2024，37(9):301-311.
[24] KIENCKE U，DAISS A. Estimation of tyre friction for enhanced ABS-systems[J]. Jsae Review，1995，2(16):221.
[25] 白鑫，沈童，王凡勋，等. 基于驾驶人操纵稳定域的分布式驱动电动汽车多模态扭矩分配策略研究[J]. 机械工程学报，2025，61(14):166-183. BAI Xin，SHEN Tong，WANG Fanxun，et al. Multi-modes torque distribution strategy for distributed drive electric vehicle based on the driver maneuverability stability region[J]. Journal of Mechanical Engineering，2025，61(14):166-183.
[26] GUO K，LU D. UniTire:Unified tire model for vehicle dynamic simulation[J]. Vehicle System Dynamics，2007，45(Suppl.1):79-99.
[27] 林棻，朱晓龙，赵又群，等. 铰链分布数量对机械弹性车轮力学特性的影响[J]. 机械工程学报，2026，62(2):344-353. LIN Fen，ZHU Xiaolong，ZHAO Youqun，et al. Influence of hinge distribution number on the mechanical properties of mechanical elastic wheel[J]. Journal of Mechanical Engineering，2026，62(2):344-353.
[28] OZEREM O，MORREY D. A brush-based thermo- physical tyre model and its effectiveness in handling simulation of a formula SAE vehicle[J]. Proceedings of the Institution of Mechanical Engineers，Part D:Journal of Automobile Engineering，2019，233(1):107-120.
[29] GUO K，ZHUANG Y，LU D. A study on speed-dependent tyre-road friction and its effect on the force and the moment[J]. Vehicle System Dynamics，2005，43(Suppl.1):329-340.
[30] XU N，GUO K，YANG Y. Unitire model for tire cornering properties under varying traveling velocities[R]. SAE 2016-01-1234，2016.
[31] 鲁冰花. 轮胎接地印迹性态对轮胎磨损的影响研究[D]. 宁波:宁波大学， 2014. LU Binghua. The study on influence of tire contact features on tire wear[D]. Ningbo:Ningbo University，2014.
[32] NAKAJIMA Y. Advanced tire mechanics[M]. Singapore:Springer，2019.
[33] LIN F，WANG X，QIAN C，et al. Coordinated longitudinal and lateral motion control for distributed drive electric vehicles with mechanical elastic wheels[J]. IEEE Transactions on Transportation Electrification，2023，10(1):523-539.