Simplified dynamics model for axial force in tripod constant velocity joint

Tripod constant velocity (TCV) joints are common components in automotive and mechanical applications. The benefits of the TCV joint are its high plunge capacity and high torque capacity. During power transmission, the friction inside the joint generates an axial force according to the kinematics. This force causes noise and vibration problems. In this study, a simplified multi-body dynamic model based on a phenomenological TCV joint friction model is developed. This model considers the generated axial force (GAF) of a TCV joint with different lubricate conditions. The efficiency and accuracy are verified by comparison with other prediction models and experiments. Thus, this model can be used to design and control the manufacture process of TCV joints.     

Experimental study of the characteristics of idle vibrations that result from axial forces and the spider positions of constant velocity joints

The vibrational characteristics of automotives during idling were studied experimentally by considering the axial forces of the drive shaft and the spider positions in a constant-velocity joint. The generated forces, such as PF (plunging force) and GAF (generated axial force) in the assembly of the drive-shaft module, were measured directly by an experimental apparatus. Measurements of the GAF and PF did not show the same trends as the joint angles. They depended instead on the types of CV joints. In addition, the relationship between the offset values of the shaft and the spider positions in the tulip of the constant-velocity joint were studied. As a result, the idle vibration characteristics were affected by the variation of the spider positions and the vibrational characteristics in the axial direction of the shaft, including the amplitude and the harmonic periods.     

沉管隧道柔性接头压缩性能研究

柔性管节接头是沉管隧道的重要组成部分，接头的压缩性能决定了沉管接头的水密性能及安全性，但目前针对沉管隧道柔性接头压缩性能的研究相对缺乏，接头压缩性能参数的取值缺乏试验结果的支撑。基于此，以港珠澳大桥沉管隧道为研究背景，设计了几何比尺为1：10的隧道管节和接头模型，并进行了大比尺结构试验和止水带材性试验。通过对沉管隧道管节柔性接头逐级施加轴向荷载，试验获得了接头轴向位移随轴向荷载的变化曲线，并与止水带材性试验结果进行了对比分析，揭示了柔性接头的非线性压缩性能：接头压缩性能受GINA止水带自身压缩性能影响；相比材性试验，结构试验结果中接头压缩量普遍偏小2~3 mm，相对差异可达21%。为了进一步验证试验结果，分别建立了二维和三维止水带有限元模型，通过对比试验结果与有限元计算结果，分析并量化了试验中支座摩擦、止水带长度、形状及其横向约束等对试验结果的影响规律。量化分析结果显示，支座摩擦、止水带长度及横向约束对试验结果影响较小，可忽略不计，但止水带纵向尺寸对结构压缩性能影响较为显著，结果相差最大达到8.8%。最后基于试验结果提出了一种可用于模拟沉管接头压缩性能的简化力学计算模型，亦可应用于其他柔性接头的轴向力学分析。     

Analysis of lateral tyre friction dynamics1

The tyre friction model is a key part of the overall multi-body tyre dynamics model. The LuGre dynamic tyre friction model is analytically linearised for pure cornering conditions. The linearised model parameters are conveniently expressed as functions of static curve slope parameters. The linearised lateral force and self-aligning torque submodels are described by equivalent mechanical systems. The linearised model and equivalent system parameters are analysed for different slip angle and wheel centre speed operating points. An example of the application of linearised tyre friction model to tyre vibration analysis is presented as well.     

汽车离合器摩擦片数量选择及其参数优化设计

本文从理论计算上阐述了如何就汽车离合器的几种不同功能因素；转矩容量、滑磨功及摩擦片强度等几个方面来选择摩擦片数目的方法，并在此基础上提出了建立数学模型进行优化设计，选取参数的另一种方法。     

空间多万向节传动布置的优化设计

本文从控制振源降低万向节传动引起的传动系与整车振动噪声出发,提出了空间多万向节传动最优布置的数学模型,选择了适用的优化算法,编出了相应的程序。实例计算表明,所提优化设计方法实用、可行,具有足够精度,所编程序计算速度快,使用方便,便于推广。     

Development of knowledge based body structure concept design model

The purpose of this study is to propose a concept design process for an automotive body structure using technical information on the major joints and members of vehicles. First, in order to collect the technical information on major joints and members, 17 vehicles were selected using benchmark data. The collected technical information for the selected vehicles was the cross sectional shapes of each joint and member which were used for the analysis of joint stiffness, crashworthiness and static stiffness of the member to make a database along with cross section properties. This study applied a ‘What If Study’ technique to perform a concept design of an automotive body using the analyzed information and selected cross section meeting the design objectives. The criteria for the selection of the cross section were defined by subdividing the defined design objectives of an automotive body structure and constraints into members and joints. In order to configure an analysis model of an automotive body structure using the selected cross section, a shape parametric model was used and static stiffness, dynamic stiffness and crashworthiness were assessed to evaluate the configured automotive body structure. The evaluation result showed that the crashworthiness and static/dynamic stiffness were improved compared to an existing body structure. In addition, the weight of the body structure was reduced. Through this study, the process that can rapidly and effectively derive and evaluate the concept design of an automotive body structure was defined. It is expected that, henceforth, this process will be helpful for the study of automotive body structures.     

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。     

沉井式预制拼装结构壳-接头模型的三维数值模拟

为了能够实现机械化竖井作业以及提高竖井施工的预制装配率,垂直竖井自动挖掘法（VSM工法）在国外许多国家开始了应用。以东方路竖井式地下停车库为背景,考虑实际管片间的接缝与错缝拼装效应,建立沉井式预制拼装结构接缝的4环壳-接头模型,并利用已有的矩形管片接头试验进行模型验证。重点研究分析在正常使用工况下3种计算位置处各环的内力分布情况、整环水平径向收敛以及纵缝相对变形等。结果发现： 考虑接缝与错缝拼装的4环壳-接头模型计算出的管片环弯矩比不考虑接缝管片环弯矩的结果要小,轴力相差不大,管片环内呈现出较为明显的径向收敛差异,使得变形类似于“圆台”状。     

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.     

Analysis of disc brake instability due to friction-induced vibration using a distributed parameter model

This paper deals with friction-induced vibration of a disc brake system with a constant friction coefficient. A linear, lumped, and distributed parameter model to represent the floating caliper disc brake system is proposed. The complex eigenvalues are used to investigate the dynamic stability, and, in order to verify simulations which are based on the theoretical model, an experimental modal test and dynamometer test are performed. The comparison of experimental and theoretical results shows good agreement, and the analysis indicates that modal coupling due to friction forces is responsible for disc brake squeal. Also, squeal type instability is investigated, using a parametric analysis. This indicates which parameters have influence on the propensity of brake squealing. This is helpful for validating the analysis model and establishing confidence in the experimental results of the modified system. These results may also be useful during system development or diagnostic analysis.     

Parameter identification for a LuGre model based on steady-state tire conditions

The purpose of this study was to effectively identify parameters for a LuGre friction model based on experimental measures. In earlier work related to this study (Yang et al., 2009), which was based on the characters of polygonal wear (Sueoka and Ryu, 1997), we showed a frictional vibration model for a mass on a moving belt. This model reflected lateral vibrations caused by velocity and toe-in angle. An important aspect of the present study is the improved friction model. A previous friction model, which divided the process into four parts, expressed the sable excited vibration well but failed to reflect the hysteresis loop change when vehicles accelerated or decelerated continuously. A LuGre friction model can solve this problem, but several model parameters must be obtained experimentally. We measured contact width and length of tires as vertical pressure changed; this provided a theoretical basis for apparent stiffness of a unit of tire tread. Based on tire data from Bakker E’s article in a SAE paper from 1987, we identified the Stribeck exponent and Stribeck velocity in LuGre. Then, the results were implemented in a vibration system that verified the rationality of the data.     

干摩擦力矩对某独立悬架汽车前轮摆振影响研究

为了探究前轮摆振的影响因素,将运动副间隙处的干摩擦等效到前轮主销处．应用拉格朗日方程建立了3自由度摆振系统模型,并用Matlab对其进行了仿真计算。结果表明,汽车在较大的初始激励下才会激发摆振;较大的干摩擦力矩有利于抑制摆振。     

接地面全熔化条件下冰面轮胎摩擦力的预测

依据流体动力润滑理论和热平衡原理，提出了接地面全熔化条件下冰面轮胎摩擦力的预测模型。结果表明，受不同因素的影响，摩擦系数变化趋势的模型预测同实验结果极为相似，文中分析讨论了影响摩擦力的主要因素，认杰表面模型，滑移率和界面温升等的影响应作为今后相关领域的研究重点。     

Measurement of the disc-pad friction coefficient for mechanical brakes using direct and indirect methods

It is necessary to guarantee the proper brake force to stop a train safely in a limited distance and o adjust its speed. Currently, most trains are run by electrical power and have a combined electrical and mechanical (friction) braking system. The mechanical brake force is determined by many parameters, such as the friction coefficient of the brake disc and pad, the pressure in the brake cylinder, the brake cylinder’s cross sectional area and the brake linkage ratio. In general, the friction coefficient data of the brake disc and pad have been taken through a dynamo-test in a laboratory, but these data might not be well matched with real data under operating conditions because of the difference in data acquisition conditions. The present study examined two methodologies that can measure the friction coefficient of the brake pad and disc based on a train’s real operating conditions. The first method was the direct method, which measured the brake force and clamping force applied on the mechanical brake by using strain gauges installed on the brake to calculate the friction coefficient. The second was an indirect method that obtained the friction coefficient by using the weight of the train and the equivalent brake force. Those variables were calculated from the longitudinal dynamic characteristics, such as resistance to motion, gradient resistance and curved resistance. These two methodologies were used to obtain the disc-pad friction coefficient for the mechanical brakes of a Korean high-speed train (HSR350x).     

异型钢独塔斜拉桥抗震性能分析

青海省西宁市西平大街异型钢独塔斜拉桥的结构、交通荷载较为复杂。为了保证该桥的抗震安全,使项目能够顺利进行,从桥梁空间动力模型建模、摩擦摆支座模拟、地震动输入方向3个方面进行分析,完成了桥梁的建模计算。结果表明：沿纵桥向输入地震动时,边塔的轴力和剪力远大于主塔,而沿横桥向输入地震动时,主塔的轴力、剪力和弯矩均大于边塔;选用的摩擦摆减隔震支座设计减隔震起始力为竖向承载力的10%,在E2强震作用下,支座进入减隔震摆动工作状态,有效延长了结构自振周期,实现了该桥减隔震设计;伸缩缝的设置应预留足够梁体位移量,以避免地震时梁体与桥台发生碰撞;桥台与主梁之间设置黏滞阻尼器,可有效控制梁体和桥塔的纵向位移,并起到减震耗能的作用。     

A Thermomechanically Coupled Model for Automotive Shock Absorbers: Theory, Experiments and Vehicle Simulations on Test Tracks

In the development of cars numerical simulation plays a more and more important role. A method commonly used in this context is based on the formalism of multibody dynamics. In this approach a vehicle is described as a system of rigid bodies connected by joints, bushings, springs and dampers. For the purpose of estimating the time-dependent dynamical loads when riding, for example, over potholes or other obstacles we need enhanced models representing the mechanical behavior of the shock absorbers. A model of this type should describe the nonlinear rate dependence of the force in combination with friction effects and thermomechanical coupling phenomena. Due to the dissipation of energy the temperature of the shock absorber increases and influences its damping behavior. When riding over long rugged test tracks these effects are strongly pronounced. Thus we develop a thermomechanical model representing all these phenomena with good approximation and being compatible with the natural laws of thermodynamics. To validate the theory, we investigate the thermomechanical behavior of two automotive shock absorbers in detail. We measure the velocity dependence of the force under different temperature levels as well as the dissipative change in the temperature during cyclic excitations. Finally we carry out a vehicle test on a rugged test track and record the temperature of the front and rear dampers. As we show, the model describes all phenomena with sufficient approximation, especially the evolution of temperature.     

A Thermomechanically Coupled Model for Automotive Shock Absorbers: Theory,Experiments and Vehicle Simulations on Test Tracks

In the development of cars numerical simulation plays a more and more important role. A method commonly used in this context is based on the formalism of multibody dynamics. In this approach a vehicle is described as a system of rigid bodies connected by joints, bushings, springs and dampers. For the purpose of estimating the time-dependent dynamical loads when riding, for example, over potholes or other obstacles we need enhanced models representing the mechanical behavior of the shock absorbers. A model of this type should describe the nonlinear rate dependence of the force in combination with friction effects and thermomechanical coupling phenomena. Due to the dissipation of energy the temperature of the shock absorber increases and influences its damping behavior. When riding over long rugged test tracks these effects are strongly pronounced. Thus we develop a thermomechanical model representing all these phenomena with good approximation and being compatible with the natural laws of thermodynamics. To validate the theory, we investigate the thermomechanical behavior of two automotive shock absorbers in detail. We measure the velocity dependence of the force under different temperature levels as well as the dissipative change in the temperature during cyclic excitations. Finally we carry out a vehicle test on a rugged test track and record the temperature of the front and rear dampers. As we show, the model describes all phenomena with sufficient approximation, especially the evolution of temperature.     

搅拌摩擦焊接技术在汽车制造中的应用研究

搅拌摩擦焊接是固相连接技术，焊接过程中形成精细的锻造组织，具有较高的接头性能。在介绍搅拌摩擦焊技术的基础上，对该技术在汽车制造业中的应用进行了探讨。对搅拌摩擦点焊技术进行了介绍。由于搅拌摩擦点焊具有成本低、耗能少等优势，可完全替代传统点焊方法用于汽车制造。