多轴商用车的行驶平顺性仿真分析

基于拉格朗日方程建立多轴商用车的五自由度振动微分方程,已知激励功率密度前提下,构造了具有复谐和函数特点的多轴商用车的路面虚拟激励,应用复模态分析给出虚拟响应的求解公式。通过虚拟激励法求取了车身垂直加速度的功率谱密度及均方根值,评价了多轴商用车的行驶平顺性。结果表明,复模态和虚拟激励方法结合,进行多轴商用车的行驶平顺性仿真分析,方法简单、易行。     

不同转向模式的多轴转向车辆性能分析

为解决重型车辆转向时的低速机动性和高速稳定性的问题,提出了多轴动态转向技术,并以三轴车辆为研究对象进行分析。首先建立多轴转向的二自由度车辆模型以及运动微分方程,为提高车辆的稳定性,以零质心侧偏角为目标,推导各轴间的转角比例系数及有关的状态空间矩阵、传递函数,使用MATLAB软件对不同转向模式下的操纵稳定性进行了稳态响应、瞬态响应以及频域响应的仿真。通过分析比较,说明采用多轴动态转向技术,车辆在转向时具有低速机动性高、高速稳定性好的特点。     

Method for control of steering angles for articulated vehicles using virtual rigid axles

Many methods we have been developed to control the rear wheels of a vehicle, but most of them are designed for automobiles with four wheels. The AWS (all wheel steering) control method for articulated vehicles is currently applied only to Phileas vehicles developed by APTS, but the control algorithm for this system has yet to be reported. In the present paper, a new algorithm is proposed after the AWS ECU (electronic control unit) of the Phileas vehicle was tested and analyzed in order to understand the existing steering algorithm. The new algorithm considers the vehicle geometry, stability of handling, and safety, and can be easily applied to multi-axle vehicles. In order to verify the AWS algorithm, the trajectory and steering angles of each algorithm were compared using the commercial software ADAMS. Turning radius, swing-out, and swept path width were also investigated to determine the turning performance of the proposed algorithm.     

三轴汽车前后轮角输入时的响应特性

本文详细推导了三轴汽车线性二自由度模型的运动微分方程，分析了汽车对前后轮角输入时的移居记响应特性。从汽车动力学的角度讨论了前后轮转应具备的比例关系。该方法同样适用于其它多轴汽车的建模分析。     

路面不平度对液压悬架多轴车辆的影响分析

根据油液的不可压缩性,可用以相位角为自变量的三角级数来表达路面不平度引起液压悬架多轴车辆车架的垂向速度和加速度,而该级数和可用一个解析式来表达,并近似为车速的线性函数.分析表明增加多轴车辆的轴数可有效地抑制车架和悬架的动载荷,但是随着车速的增加,抑制效果不断降低,直至相当于单轴车辆.     

Multi-axle/articulated bus dynamics modeling: a reconfigurable approach

This paper proposed a unified model including yaw and roll dynamics for any axle or articulation configuration of buses by using a reconfigurable approach. First, all the possible existing configurations of buses are introduced, including the axle/articulation configuration, powertrain configuration, and active chassis control configuration. Consequently, the research is motivated by a key question: how can we develop a unified model that is inclusive and configurable to all of the above bus configurations? To develop the model, three layers of the modeling process are presented step by step. The magic formula and vertical load transfer are discussed to formulate the tyre model. It is noted that the case of the articulated bus is presented in an independent section but how it is included and unified in a general form is also explained. Finally, a modeling validation of axle or articulation configuration cases is performed and the comparative results to high-fidelity models show the feasibility, efficiency, and convenience of the reconfigurable approach. As the crucial feature, the resulting model can be potentially applied to model-based controller design in any buses without reformulating the model. This will greatly benefit the vehicle dynamics control and also future autonomous buses. Although the focus of this paper is buses, the proposed approach actually covers any multi-axle/articulated vehicles, like trucks, tractor-trailers.     

Development of a generalised equivalent estimation approach for multi-axle vehicle handling dynamics

This paper devotes analytical effort in developing the 2M equivalent approach to analyse both the effect of vehicle body roll and n-axle handling on vehicle dynamics. The 1M equivalent vehicle 2DOF equation including an equivalent roll effect was derived from the conventional two-axle 3DOF vehicle model. And the 1M equivalent dynamics concepts were calculated to evaluate the steady-state steering, frequency characteristics, and root locus of the two-axle vehicle with only the effect of body roll. This 1M equivalent approach is extended to a three-axle 3DOF model to derive similar 1M equivalent mathematical identities including an equivalent roll effect. The 1M equivalent wheelbases and stability factor with the effect of the third axle or body roll, and 2M equivalent wheelbase and stability factor including both the effect of body roll and the third-axle handling were derived to evaluate the steady-state steering, frequency characteristics, and root locus of the three-axle vehicle. By using the recursive method, the generalised 1M equivalent wheelbase and stability factor with the effect of n-axle handling and 2M equivalent generalised wheelbase and stability factor including both the effect of body roll and n-axle handling were derived to evaluate the steady-state steering, frequency characteristics, and root locus of the n-axle vehicle. The 2M equivalent approach and developed generalised mathematical handling concepts were validated to be useful and could serve as an important tool for estimating both the effect of vehicle body roll and n-axle handling on multi-axle vehicle dynamics.     

Vehicle handling dynamics modelling by a data-driven identification method

Modelling of vehicle handling dynamics has received a renewed attention in recent years. Different from traditional vehicle modelling, a novel data-driven identification method for vehicle handling dynamics is proposed, which can avoid the problems of the under-modelling and parameter uncertainties in the first-principle modelling process. By first-order Taylor expansion, the nonlinear vehicle system can be linearised as a slowly linear time-varying system with fourth-order. In order to identify the derived identifiable model structure, a recursive subspace method is presented. Derived by optimal version of predictor-based subspace identification (PBSID_opt) and projection approximation subspace tracking (PAST), the identification method is numerical stability and gives an unbiased estimation for the closed-loop system. Based on standard road tests, the proposed modelling method is proven effective and the obtained model has good predictive ability. Additionally, it is noted that the model obtained from the initial phase of straight driving is just a mathematical model to describe the relationship between input and output. And when the vehicle is steering, the model can converge to a stable phase quickly and represent vehicle dynamic performance.     

A polynomial chaos approach to the analysis of vehicle dynamics under uncertainty

The ability of ground vehicles to quickly and accurately analyse their dynamic response to a given input is critical to their safety and efficient autonomous operation. In field conditions, significant uncertainty is associated with terrain and/or vehicle parameter estimates, and this uncertainty must be considered in the analysis of vehicle motion dynamics. Here, polynomial chaos approaches that explicitly consider parametric uncertainty during modelling of vehicle dynamics are presented. They are shown to be computationally more efficient than the standard Monte Carlo scheme, and experimental results compared with the simulation results performed on ANVEL (a vehicle simulator) indicate that the method can be utilised for efficient and accurate prediction of vehicle motion in realistic scenarios.     

Application of the structural articulation method to dynamic impact loading of railway bridges – a case study

This article demonstrates a practical application of the structural articulation method. An existing prototype railway bridge was selected to compare our new method with the industry codes of practice. The response history and dynamic increment of the bridge were investigated through a variety of methods: lump sum mass analysis (LSMA) and suspension system analysis (SSA) for a single-axle force, and SSA for multi-axle forces. We considered both a local irregularity and a global sinusoidal irregularity. The dynamic impact load induced by either form of track irregularity increases approximately linearly with the vehicle speed up to a certain point, then tends to decrease gradually. This behaviour reveals that the dynamic impact load induced by track irregularities is dominated by the resonance of the bridge. If a bridge must support multiple axles, or if an especially accurate dynamic impact factor is required for safety reasons, then multi-axle SSA is recommended because this approach is the most accurate and likely to produce a weaker response than single-axle analysis. The random irregularity is generated by the stochastic track irregularity process. It is found that the dynamic impact load induced by the random irregularity is negligible, compared with the deterministic irregularity.     

An approach for the validation of railway vehicle models based on on-track measurements

This paper proposes an approach for the validation of railway vehicle models based on on-track measurements. The validation of simulation models has gained importance with the introduction of new applications of multi-body simulation in railway vehicle dynamics as the assessment of track geometry defects, the investigation of derailments and the analysis of gauging. These applications are not only interested in qualitative predictions of the vehicle behaviour but also in precise quantitative results of the safety and comfort relevant vehicle responses. The validation process aims at guaranteeing that the simulation model represents the dynamic behaviour of the real vehicle with a sufficient good precision. A misfit function is defined which quantifies the distance between the simulated and the measured vehicle response allowing to evaluate different models at different running conditions. The obtained modelling errors are compared to the measurement uncertainty estimated for one vehicle using repeatability analysis.     

车辆对桥墩撞击力仿真分析及简化计算

为研究车辆撞击桥墩过程中的撞击力及其简化计算方法,采用有限元软件建立等效车辆-桥墩碰撞模型,在验证等效车辆模型合理性的基础上,改变撞击速度得到撞击力时程曲线;提出将车辆碰撞桥墩视为匀减速过程的撞击力简化计算方法,并将简化计算方法撞击力结果和其它3种方法结果以及国内外规范取值进行对比.结果表明:撞击过程中车辆撞击力先后出...     

Force control for path following of a 4WS4WD vehicle by the integration of PSO and SMC

The aim of this paper is to present a novel control method for a four-wheel steer and four-wheel drive (4WS4WD) vehicle. The novelty is in the integration of sliding mode control (SMC) and particle swarm optimization (PSO) that is proposed to solve the control problem caused by the nonlinear, highly coupled and over-actuated characteristics of the four-wheel steer and four-wheel drive (4WS4WD) vehicle. The validity of the control method is evaluated by two criterions, namely path following performance assessed by the vehicle's position errors with respect to the reference path, and motion quality reflected by the smoothness of vehicle's velocities and accelerations. In vehicle modelling, a kinematic model and a dynamic model considering all slip forces are proposed for the controller design. Simulation results are provided to demonstrate the applicability of the proposed methodology and its robustness.     

A method for estimation of vehicle inertial parameters

In this paper, a new method is presented for estimating the current sprung mass inertial parameters of a vehicle, such as the mass, pitch and roll mass moments of inertia, and lateral and longitudinal centre of gravity locations. The method measures the sprung mass response when the vehicle is driven over an unknown and unmeasured random road profile. From these measurements, the equivalent free-decay responses are extracted and modal analysis techniques used to estimate the sprung mass natural frequencies, damping ratios and mode shapes. This information is combined with a simplified vehicle estimation model, least squares analysis and known equivalent stiffness parameters to estimate the vehicles’ inertial parameters. The results obtained from several simulation examples show that estimates of the inertial parameters generally have small relative errors.     

基于当量轴次和当量系数理论的计重收费计算方法研究

基于当量轴次和当量系数提出当量系数法,建立收费标准的确定模型和方法。由该方法得到的收费标准能够在满足公路投资者经济利益的同时,有效遏制超限超载现象的蔓延。首先通过分析各省现行的计重收费方案选择出较为合理的收费模式;然后,提出一种当量系数法,运用当量轴次理论建立不同车型、车货总重的车辆引起的道路破坏费用模型,以此为基础建立分车型收费的数学模型;并在此模型基础上,扩展构建计重收费标准计算模型,从而得出基本费率和超限加收系数;最后,通过在河南省高速公路计重收费中的应用,证明了计算模型的准确性和实用性。     

中国公路车-桥耦合振动车辆模型研究（双语出版）

为了提出适用于中国车-桥耦合振动分析的车辆动力分析模型,首先基于中国桥梁规范中的设计车辆荷载,结合大量调查统计数据和等效静力分析方法,初步拟定车辆动力分析模型的几何尺寸、质量、刚度、阻尼等参数取值,并与国内外广泛采用的几种车辆模型的参数取值进行对比。接着选取4座钢筋混凝土简支梁桥并建立其三维有限元模型,基于车-桥耦合振动数值模拟分析车辆模型的刚度、阻尼等参数对桥梁上动力冲击系数的影响,并对比几个不同车辆模型对动力冲击系数的影响。最后,选择中国湖南省境内一座实桥和几辆不同轴数的重车开展实桥试验,将实测动力冲击系数与所提车辆模型数值模拟获得的冲击系数进行对比。结果表明：动力冲击系数随车辆总质量的增大而减小,随车辆整体刚度的增大而增大,但随车辆整体阻尼的增大呈先减小后增大的趋势;单个车轴的刚度和阻尼对动力冲击系数的影响不明显;车辆总质量是导致不同车辆模型作用下动力冲击系数差异的主要因素;数值模拟结果与实测结果吻合良好,验证了所提车辆模型及参数取值的合理性;该车辆模型可用于中国的设计车辆荷载作用下桥梁的动力响应分析和相关研究,也可用于估算重量相当的不同类型车辆对桥梁的动力冲击效应。     

基于汽车道路作用空间与公路车辆当量换算系数的研究

以运行车辆为质点,提出采用汽车道路作用空间的物理分析方法来研究车辆当量系数换算问题。建立了车辆道路作用空间模型,通过大量试验数据分析和应用随机场论的分析方法,研究确定了汽车在运行过程中所表现出的横向、纵向道路作用空间特性以及与道路、交通和车型等相关因素的定量数值,并由此推算出了基本车辆当量换算系数,和基于不同公路服务水平条件下的车辆当量换算系数。     

Condition monitoring of rail vehicle suspensions based on changes in system dynamic interactions

A novel scheme for the fault detection and condition monitoring of vehicle suspensions is presented in this study. The new technique exploits the dynamic interactions between different vehicle modes caused by component failures in the system, leading to a simple but effective solution. Compared with many model-based fault detection techniques, the proposed technique does not require complex mathematical models of the system and it overcomes potential difficulties associated with nonlinearities and parameter variations in the system. The use of inexpensive inertial sensors and ease of tuning make the practical implementation of the proposed scheme straightforward. A conventional railway vehicle is used in the study to illustrate the basic ideas as well as the effectiveness of the novel fault detection method, although the general principle is applicable to other systems.     

基于ReliefF-RBF的路面不平度识别算法研究

路面不平度对道路车辆行驶安全性及车辆动力学响应具有重要影响。通过将路面不平度识别与先进悬架控制结合,有望能进一步提升乘员舒适性和车辆的操纵稳定性。现有基于数据驱动的路面分类方法难以高效处理时变参数与车速,现有基于模型的路面识别算法需要已知精确车辆模型,在实际应用中面临车辆物理参数难以获得的问题。提出一种融合模型和数据驱动的路面分类算法,采用基于模型的方法反算等效路面轮廓,结合数据预处理方法,对车辆响应和反算等效路面轮廓数据进行滤波;对等效路面轮廓和响应信息进行时域频域特征计算,采用ReliefF算法进行关键特征提取,构建基于径向基函数神经网络的路面分类器,进行路面分级识别;通过仿真试验和实车试验验证了不同车辆参数和车速下所提出的算法鲁棒性。     

A fundamental investigation of tilt control systems for narrow commuter vehicles

One way of addressing traffic congestion is by efficiently utilizing the existing highway infrastructure. Narrow tilting vehicles that need a reduced width lane can be part of the solution if they can be designed to be safe, stable, and easy to operate. In this paper, a control system that stabilizes the tilt mode of such a vehicle without affecting the handling of the vehicle is proposed. This control system is a combination of two different types of control schemes known as steering tilt control (STC) and direct tilt control (DTC) systems. First, different existing variations of both STC and DTC systems are considered and their shortcomings analysed. Modified control schemes are then suggested to overcome the deficiencies. Then a new method of integrating these two control schemes that guarantees smooth switchover between the controllers as a function of vehicle velocity is proposed. The performance of the proposed STC, DTC, and integrated systems is evaluated by carrying out simulations for different operating conditions and some experimental work. The design of a second-generation narrow tilting vehicle on which the developed control system has been implemented is presented.