• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2021, Vol. 57 ›› Issue (12): 87-98.doi: 10.3901/JME.2021.12.087

• 特邀专栏:汽车-道路相互作用动力学前沿问题 • 上一篇    下一篇

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基于非均匀接触的轮胎-道路系统耦合动力学研究

路永婕1,2, 张俊宁3, 李皓玉1,2, 马智喆2   

  1. 1. 石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室 石家庄 050043;
    2. 石家庄铁道大学机械工程学院 石家庄 050043;
    3. 石家庄铁道大学交通运输学院 石家庄 050043
  • 收稿日期:2020-09-25 修回日期:2021-01-29 出版日期:2021-08-31 发布日期:2021-08-31
  • 通讯作者: 张俊宁(通信作者),男,1989年出生,博士研究生。主要研究方向为汽车-路面相互作用。E-mail:zhangtinian@163.com
  • 作者简介:路永婕,女,1981年出生,博士,教授,博士研究生导师。主要研究方向为车辆主动安全、车-路刚柔耦合动力学、智能轮胎动力学。E-mail:lu-yongjie@163.com
  • 基金资助:
    国家自然科学基金(12072204,11972238,11872255)和河北省自然基金(A2020210039)资助项目

Research on Tire-road System Coupling Dynamics Based on Non-uniform Contact

LU Yongjie1,2, ZHANG Junning3, LI Haoyu1,2, MA Zhizhe2   

  1. 1. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043;
    2. School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043;
    3. School of Traffic and Transportation Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043
  • Received:2020-09-25 Revised:2021-01-29 Online:2021-08-31 Published:2021-08-31

摘要: 为深入探讨轮胎-路面之间耦合振动,在考虑轮胎与路面的非均匀动态摩擦力基础上提出轮胎-路面-路基系统耦合模型。以Kirchhoff薄板理论为基础,建立有限长度和有限宽度板在Winkler地基上的路面结构动力学模型,为了真实描述轮胎与路面之间的耦合关系,将传统的基于线接触载荷分布的LuGre轮胎模型改进为面接触非均匀载荷分布。采用Galerkin截断法将路面振动的偏微分方程简化为有限常微分方程,运用Runge-Kutta法求解控制方程,计算轮胎-道路耦合系统的响应。探讨不同的横向、纵向截断阶数对耦合系统振动响应计算精度的影响,确定最佳的截断阶数。对轮胎-路面的耦合特性进行分析,分别从路面的结构变形、动态载荷和轮胎力(纵向力、侧向力和回正力矩)对比在考虑耦合和不考虑耦合作用的区别,为路面结构设计和车辆性能控制提供参考。

关键词: 胎-路耦合, Kirchhoff薄板, 非均匀载荷分布, Galerkin截断, 动态摩擦

Abstract: To discuss the coupled vibrations between tires and pavements in-depth, a tire-pavement-subgrade system coupling model is proposed based on the non-uniform dynamic friction between tires and pavements. A pavement structure dynamic model of finite length and width slabs on the Winkler foundation is established on the basis of Kirchhoff plate theory. To accurately describe the coupling relationship between tires and pavements, the traditional LuGre tire model based on linear contact load distribution is improved to a non-uniform surface contact load distribution. The Galerkin truncation method is used to simplify the partial differential equations of pavement vibrations to the finite ordinary differential equations. The Runge-Kutta method is applied to solve the control equations and calculate the response of the tire-pavement coupling system. The influences of different transverse and longitudinal truncation orders on the calculation accuracy of the vibration response of the coupling system are discussed, thus determining the optimal truncation order. The characteristics of the tire-pavement coupling system are analyzed. The difference between the situation considering coupling effects and the situation not considering coupling effects is compared in terms of the pavement structural deformation, dynamic load and tire force (longitudinal force, lateral force and aligning torque), providing a reference for the pavement structural design and the vehicle performance control.

Key words: tire-pavement coupling, Kirchhoff plate, non-uniform load distribution, Galerkin truncation, dynamic friction

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