A 3D Brush-type Dynamic Tire Friction Model

The use of advanced dynamic friction models can improve the brush-type tire friction models. This paper presents a 3D dynamic brush model based on the LuGre friction model. The model describes the dynamics of longitudinal and lateral tire friction forces, as well as the self aligning torque dynamics. It has been originally derived in a distributed-parameter form, and then transformed to a simpler lumped-parameter form with only three internal states. Both uniform and non-uniform normal pressure distributions are considered. The model has analytical solution for steady-state conditions. The steady-state behavior is validated with respect to “magic” formula static model, which served as an “ideal” benchmark. The lumped model dynamic behavior is validated by comparing its time-responses with original distributed model responses. The model parameterization with respect to normal force and other tire/road parameters is considered as well.     

Dynamic Friction Models for Road/Tire Longitudinal Interaction

Summary In this paper we derive a new dynamic friction force model for the longitudinal road/tire interaction for wheeled ground vehicles. The model is based on a dynamic friction model developed previously for contact-point friction problems, called the LuGre model. By assuming a contact patch between the tire and the ground we develop a partial differential equation for the distribution of the friction force along the patch. An ordinary differential equation (the lumped model) for the friction force is developed, based on the patch boundary conditions and the normal force distribution along the contact patch. This lumped model is derived to approximate closely the distributed friction model. Contrary to common static friction/slip maps, it is shown that this new dynamic friction model is able to capture accurately the transient behaviour of the friction force observed during transitions between braking and acceleration. A velocity-dependent, steady-state expression of the friction force versus the slip coefficient is also developed that allows easy tuning of the model parameters by comparison with steady-state experimental data. Experimental results validate the accuracy of the new tire friction model in predicting the friction force during transient vehicle motion. It is expected that this new model will be very helpful for tire friction modeling as well as for anti-lock braking (ABS) and traction control design.     

Dynamic Friction Models for Road/Tire Longitudinal Interaction

Summary In this paper we derive a new dynamic friction force model for the longitudinal road/tire interaction for wheeled ground vehicles. The model is based on a dynamic friction model developed previously for contact-point friction problems, called the LuGre model. By assuming a contact patch between the tire and the ground we develop a partial differential equation for the distribution of the friction force along the patch. An ordinary differential equation (the lumped model) for the friction force is developed, based on the patch boundary conditions and the normal force distribution along the contact patch. This lumped model is derived to approximate closely the distributed friction model. Contrary to common static friction/slip maps, it is shown that this new dynamic friction model is able to capture accurately the transient behaviour of the friction force observed during transitions between braking and acceleration. A velocity-dependent, steady-state expression of the friction force versus the slip coefficient is also developed that allows easy tuning of the model parameters by comparison with steady-state experimental data. Experimental results validate the accuracy of the new tire friction model in predicting the friction force during transient vehicle motion. It is expected that this new model will be very helpful for tire friction modeling as well as for anti-lock braking (ABS) and traction control design.     

轮胎半经验模型中摩擦系数切换问题

介绍了2种简单的摩擦系数模型(库仑摩擦定律、静摩擦力模型)，并将其与轮胎统一刷子理论模型结合起来分析轮胎的摩擦问题。在此基础上引入了满足轮胎刷子理论模型边界条件的轮胎稳态半经验模型，给出了应用轮胎半经验模型实现摩擦状态切换的方法。通过轮胎在2种滚动速度下的侧偏试验，证明了轮胎半经验模型可实现2种速度下的摩擦系数切换。     

Emergency Braking Control with an Observer-based Dynamic Tire/Road Friction Model and Wheel Angular Velocity Measurement

Summary A control scheme for emergency braking of vehicles is designed. The tire/road friction is described by a LuGre dynamic friction model. The control system output is the pressure in the master cylinder of the brake system. The controller utilizes estimated states for a feedback control law that achieves a near maximum deceleration. The state observer is designed using linear matrix inequality (LMI) techniques. The analysis shows that using the wheel angular speed information exclusively is not sufficient to rapidly estimate the velocity and relative velocity, due to the fact that the dynamical system is almost unobservable with this measurement as output. Findings are confirmed by simulation results that show that the estimated vehicle velocity and relative velocity converge slowly to their true values, even though the internal friction state and friction parameters converge quickly. The proposed control system has two main advantages when compared with an antilock braking system (ABS): (1) it produces a source of a priori information regarding safe spacing between vehicles that can be used to increase safety levels in the highway; and (2) it achieves a near optimal braking strategy with less chattering.     

Emergency Braking Control with an Observer-based Dynamic Tire/Road Friction Model and Wheel Angular Velocity Measurement

Summary A control scheme for emergency braking of vehicles is designed. The tire/road friction is described by a LuGre dynamic friction model. The control system output is the pressure in the master cylinder of the brake system. The controller utilizes estimated states for a feedback control law that achieves a near maximum deceleration. The state observer is designed using linear matrix inequality (LMI) techniques. The analysis shows that using the wheel angular speed information exclusively is not sufficient to rapidly estimate the velocity and relative velocity, due to the fact that the dynamical system is almost unobservable with this measurement as output. Findings are confirmed by simulation results that show that the estimated vehicle velocity and relative velocity converge slowly to their true values, even though the internal friction state and friction parameters converge quickly. The proposed control system has two main advantages when compared with an antilock braking system (ABS): (1) it produces a source of a priori information regarding safe spacing between vehicles that can be used to increase safety levels in the highway; and (2) it achieves a near optimal braking strategy with less chattering.     

基于逆向工程技术的轮胎3D模型设计研究

以195/65R15规格的轮胎为例,利用三维激光扫描仪对轮胎进行扫描,通过CATIA软件对所得点云数据进行处理,实现曲面重构,建立了轮胎的3D模型.对依据逆向工程技术建立的轮胎3D模型特征尺寸与轮胎实物测量尺寸比较分析表明,所建模型与实际轮胎外形吻合良好,可为进行轮胎特性研究提供参考.     

轮胎制动力—滑移率特性的动态模型研究

轮胎制动力及滑移率对制动力矩的响应存在着显著的低频衰减振荡现象，这从制动力－滑移率特性曲线上看，表现为一系列的以稳态点为中心的旋涡状过渡曲线。这是稳态的轮胎模型所不能描述的。本文在稳态ｂｒｕｓｈ轮胎模型基础上，通过印迹前端蹼处胎冠一阶变形模型，建立了轮胎制动力－滑移率的动态模型，并根据转鼓试验台上的轮胎制动试验，验证了该模型的仿真效果。     

轮胎动态摩擦特性对汽车ABS控制系统的影响

基于轮胎的魔术公式模型,研究了轮胎在路面的最佳滑移率和最大摩擦系数随汽车速度的动态变化过程.利用李亚普诺夫稳定性理论,设计了汽车ABS控制系统滑模控制器,基于轮胎的Burckhardt模型,分别在考虑轮胎动态摩擦特性和不考虑轮胎动态摩擦特性时,对汽车ABS控制系统进行了仿真和比较研究.研究结果表明,轮胎动态摩擦特性对汽车ABS的最佳滑移率和轮胎摩擦系数具有一定影响,但是对汽车ABS的制动性能影响很小,因此进行汽车ABS控制系统设计时,可以不考虑轮胎动态摩擦特性的影响.     

A Radial-Spring Terrain-Enveloping Tire Model

A radial-spring tire model was developed to envelop irregular features of a rigid terrain and redefine the terrain as an “equivalent ground plane” reflecting both the elevation and slope characteristic of the original terrain contacting the tire. Three different methods were proposed for defining the maximum deflection of the tire, thereby locating the “equivalent ground plane” and defining the radial tire force. Errors in the maximum tire deflections resulting from approximations in the solution procedure could be maintained below 3 per cent of the actual tire deflections when the tire model was tested on a rigid planar surface.     

轮胎动态模型的阻尼和对滚动阻力及动态响应影响的分析

在综合了一些文献研究结果的基础上,基于轮胎模态参数模型,给出了不同阻尼环节对滚动阻力及轮胎以不同速度滚越障碍物的动态响应的模拟结果,并部分地与试验结果进行对比,说明具有结构阻尼环节的轮胎模型,对于两者的模拟均给出了更好的定量结果。     

用于动力学模拟的STI轮胎模型分析

介绍了用于汽车驾驶模拟器动力学模拟的STI（Systems Technologies Inc）轮胎半经验模型,建立了该轮胎模型的复合滑移率、横向刚度和纵向刚度以及横向力和纵向力的计算方程,并利用Vc＋＋6．0编程计算得到的理论值与实验值对比,对该模型进行了分析和验证。分析结果表明,该轮胎模型用于车辆动力学模拟时有较好的精度。     

轮胎／路面附着系数估算方法

为提高汽车主动安全系统自适应控制性能,需要对轮胎／路面附着系数进行精确的识别或估算。鉴于附着系数估计的复杂性,文章综述了目前路面附着系数估算中的汽车动力学建模和轮胎／路面摩擦模型建模,重点讨论了轮胎／路面附着系数识别算法中传感器的直接检测估计法,以及基于车辆动力学、回正力矩和状态观测器等动力学模型的估计算法,并对各估算方法存在的问题与发展趋势等进行了分析。对开发汽车主动安全电控系统和提高汽车产业核心竞争力具有重要意义。     

一种快速构建道路整体模型方法的研究

依据道路线路设计成果计算出道路模型与地形模型的拼合交线，用设计点(特征线)数据替换拼合交线内的地形点(特征线)数据，形成道路建模所需的原始点集和约束边集。针对原始点集采用逐点插入算法进行Delaunay三角剖分，将约束边嵌入初始三角网中，由此得到外观与内部拓扑关系均为整体的道路三维模型。     

轮胎滚动速度效应对轮胎侧偏动特性的影响

在利用试验模态参数建立轮胎侧偏非稳态模型基础上，本文重点分析了轮胎滚动速度效应对侧偏动特性的影响。解析模型计算结构的变化趋势和文献的试验研究结果一致。表明计入轮胎滚动所带来的速度对侧偏动特性的影响是不可忽略的，它会对不同速度下行驶汽车的操稳性及横向振动产生影响。滚动速度效应对轮胎侧偏特性影响的成功建械表明了利用模态参数对轮胎建模的优越性。     

轮胎非稳态转向特性半经验模型

在轮胎非稳转向特性理论模型的基础，本文提出了一种半经验模型，经过试验验证，在与汽车平面运动有关的低频范围内，试验值与理论值吻合得较好，与已有的半经验模型相比，该模型具有计算简单，精度较高等优点，直接反映出轮胎模型参数与结构参数间的关系，便于在汽车动力学仿真与轮胎特性改进中应用。     

公路路线三维可视化设计中的三维建模

三维建模是公路线路三维可视化设计的基础和关键，文中讨论了进行公路线路三维建模的一般过程和利用AutoCAD2000进行建模的方法技巧。     

公路线路三维可视化设计中的三维建模

三维建模是公路线路三维可视化设计的基础和关键,文中讨论了进行公路线路三维建模的一般过程和利用AutoCAD 2000进行建模的方法技巧.     

考虑胎体复杂变形的轮胎非稳态侧偏特性理论模型

本文从肥体的一般变形模式出发，根据胎体的侧向弯曲变形及扭转变形计算出胎面的侧向瞬时变形，从而建立了小幅运动时轮胎非稳态侧偏特性理论模型。考虑胎体的复杂变形之后，模型能真实地反映轮台力学特性和物理实质。