Modelling,simulation and applications of longitudinal train dynamics

ABSTRACT

Significant developments in longitudinal train simulation and an overview of the approaches to train models and modelling vehicle force inputs are firstly presented. The most important modelling task, that of the wagon connection, consisting of energy absorption devices such as draft gears and buffers, draw gear stiffness, coupler slack and structural stiffness is then presented. Detailed attention is given to the modelling approaches for friction wedge damped and polymer draft gears. A significant issue in longitudinal train dynamics is the modelling and calculation of the input forces – the co-dimensional problem. The need to push traction performances higher has led to research and improvement in the accuracy of traction modelling which is discussed. A co-simulation method that combines longitudinal train simulation, locomotive traction control and locomotive vehicle dynamics is presented. The modelling of other forces, braking propulsion resistance, curve drag and grade forces are also discussed. As extensions to conventional longitudinal train dynamics, lateral forces and coupler impacts are examined in regards to interaction with wagon lateral and vertical dynamics. Various applications of longitudinal train dynamics are then presented. As an alternative to the tradition single wagon mass approach to longitudinal train dynamics, an example incorporating fully detailed wagon dynamics is presented for a crash analysis problem. Further applications of starting traction, air braking, distributed power, energy analysis and tippler operation are also presented.     

A new model for temporal–spatial stochastic analysis of vehicle–track coupled systems

The vehicle–track coupled system has a random nature in the time–space domain. This paper proposes a computational model to analyse the temporal–spatial stochastic vibrations of vehicle–track systems, where the vehicle–track system is divided into a vehicle subsystem, track subsystem, and interfacial subsystem between the wheel and rail. In this model, the time-varying randomicity of dynamical parameters of the vehicle system, correlation, and randomness of the track structural parameters in the time–space joint dimensions, and randomness of the track random irregularities are considered. A probability dimension-reduction method was used to randomly combine different random variables. Furthermore, the probability density evolution method was applied to solve the delivery problem of probabilities between excitation inputs and response outputs. The temporal–spatial stochastic vibrations of the vehicle–track system with different coefficients of variation were studied, in which we assumed that the dynamic parameters obeyed the normal distribution, and the stochastic simulation method of the track random irregularities is probed into. The calculated results from this model are consistent with the actual measured results and physical conceptions. Thus, the temporal–spatial stochastic evolutionary mechanism can be explored, and the limits of dynamic indices can be formulated by using this developed model.     

Vehicle lift-off modelling and a new rollover detection criterion

The modelling and development of a general criterion for the prediction of rollover threshold is the main purpose of this work. Vehicle dynamics models after the wheels lift-off and when the vehicle moves on the two wheels are derived and the governing equations are used to develop the rollover threshold. These models include the properties of the suspension and steering systems. In order to study the stability of motion, the steady-state solutions of the equations of motion are carried out. Based on the stability analyses, a new relation is obtained for the rollover threshold in terms of measurable response parameters. The presented criterion predicts the best time for the prevention of the vehicle rollover by applying a correcting moment. It is shown that the introduced threshold of vehicle rollover is a proper state of vehicle motion that is best for stabilising the vehicle with a low energy requirement.     

Insights into vehicle trajectories at the handling limits: analysing open data from race car drivers

Race car drivers can offer insights into vehicle control during extreme manoeuvres; however, little data from race teams is publicly available for analysis. The Revs Program at Stanford has built a collection of vehicle dynamics data acquired from vintage race cars during live racing events with the intent of making this database publicly available for future analysis. This paper discusses the data acquisition, post-processing, and storage methods used to generate the database. An analysis of available data quantifies the repeatability of professional race car driver performance by examining the statistical dispersion of their driven paths. Certain map features, such as sections with high path curvature, consistently corresponded to local minima in path dispersion, quantifying the qualitative concept that drivers anchor their racing lines at specific locations around the track. A case study explores how two professional drivers employ distinct driving styles to achieve similar lap times, supporting the idea that driving at the limits allows a family of solutions in terms of paths and speed that can be adapted based on specific spatial, temporal, or other constraints and objectives.     

飞机防冰腔结构参数的重要性测度

分析了常见的3种飞机防冰腔结构,应用Gambit软件建立了双蒙皮防冰腔结构网格模型。采用Spalart-Allmaras湍流模型模拟热气在防冰腔内的流动状况,采用Fluent软件进行传热效率分析,建立了防冰腔结构参数对传热效率的重要性测度模型。通过随机响应面法建立防冰腔结构参数与传热效率的函数关系,采用低分散性抽样法求解防冰腔结构参数的重要性测度,建立了防冰腔结构参数的重要性测度分析流程。分析结果表明:当笛形管中心到外蒙皮的距离从35.15mm增加到38.85mm时,传热系数由0.505减小到0.463;当双蒙皮通道高度从2.85mm增加到3.15mm时,传热系数由0.495减小到0.476;当射流孔孔径从1.90mm增加到2.10mm时,传热系数从0.505减小到0.494;当射流孔角度从14.25°增加到15.75°时,传热系数从0.476增加到0.494。防冰腔结构参数的重要性排序依次为射流孔角度、笛形管中心到外蒙皮距离、射流孔孔径、双蒙皮通道高度,在防冰腔结构加工与装配过程中,需要重点考虑射流孔角度与笛形管中心到外蒙皮距离这2个参数。     

考虑多目标的城市停车换乘选址优化模型及算法

停车换乘选址问题是城市交通网络设计研究的重点领域,已有研究的优化目标多集中在系统总费用方面,而对交通可持续发展方面考虑不足。为此,提出综合考虑多方面目标的停车换乘设施选址优化模型及其求解算法。首先,基于超网络理论,提出多方式城市交通系统的超网络模型并定义O-D (Origin-destination)间的超路径、有效超路径及子路径,结合出行者出行过程及交通网络拥挤特征,给出超路径费用的数学表达;其次,基于多方式交通网络随机均衡配流结果,构建交通总阻抗、污染物排放量以及交通系统公平性等系统优化指标的计算模型,并建立用以描述停车换乘设施选址问题的多目标优化模型;进而,以多目标系统优化模型为上层问题,以超网络下满足Logit分配的多方式交通网络配流模型为下层问题,构建描述城市多方式交通系统停车换乘设施选址问题的双层规划模型,并基于模型特征,结合“记录-搜索”思想设计非支配排序遗传算法进行求解;最后,基于Sioux Falls网络设计算例。研究结果表明：算法能够在有限的步骤内搜索到90%以上的Pareto最优解;平均而言,停车换乘措施使得交通总阻抗减小了0.31%,污染物排放量减少了7.32%...     

Investigating micro-simulation error in activity-based travel demand forecasting: a case study of the FEATHERS framework

Activity-based models of travel demand have received considerable attention in transportation planning and forecasting in recent years. However, in most cases they use a micro-simulation approach, thereby inevitably including a stochastic error that is caused by the statistical distributions of random components. As a consequence, running a transport micro-simulation model several times with the same input will generate different outputs, which baffles practitioners in applying such a model and in interpreting the results. A common approach is therefore to run the model multiple times and to use the average value of the results. The question then becomes: what is the minimum number of model runs required to reach a stable result? In this paper, systematic experiments are carried out using Forecasting Evolutionary Activity-Travel of Households and their Environmental RepercussionS (FEATHERS), an activity-based micro-simulation modelling framework currently implemented for the Flanders region of Belgium. Six levels of geographic detail are taken into account. Three travel indices – average daily activities per person, average daily trips per person and average daily distance travelled per person, as well as their corresponding segmentations – are calculated by running the model 100 times. The results show that the more disaggregated the level, the larger the number of model runs is needed to ensure confidence. Furthermore, based on the time-dependent origin-destination table derived from the model output, traffic assignment is performed by loading it onto the Flemish road network, and the total vehicle kilometres travelled in the whole Flanders are subsequently computed. The stable results at the Flanders level provides model users with confidence that application of FEATHERS at an aggregated level requires only limited model runs.     

城市人行天桥美学造型简析

主要阐述城市人行天桥的造型与景观的关系,城市人行天桥造型中的城市美学以及对人行天桥美学设计的认识,提出从造型与景观角度塑造城市人行天桥的观点.对城市建设有一定的应用价值.     

列车动力响应的平稳性和各态历经性分析

研究列车动力响应的平稳性和各态历经性对寻求列车动力响应随机过程的统计规律具有重要意义.基于多体动力学理论,采用多体动力学分析软件Simpack建立国内某高速列车动车车辆的多体动力学模型.采用三角级数法模拟得到的轨道不平顺作为随机输入激励计算得到列车以不同速度行驶不同距离的动力响应时程样本序列.进一步运用平稳性检验方法中...     

刹车状况下桥上随机车流动态演化及车-桥耦合振动分析

为实现刹车时桥上多状态车流并行动态演化的高真实度模拟和时变汽车荷载与桥梁运动状态的时时耦合,首先从宏观和微观上丰富随机车流模拟方法,宏观上沿用交通荷载调查数据中的车辆顺序、车辆基本特性等不变量,以车辆间距为服从正态分布的限幅随机变量,形成深度融合交通荷载调查数据和交通流理论的随机车流高真实度仿真方法;微观上对车辆间距随机变量确定的关键状态-阻塞状态,引入加权速度,实现阻塞密度时车流的走走停停动态描述,采用考虑驾驶人状态的概率分布方法确定车辆时距;实现多密度随机车流的高真实度仿真。其次细化刹车过程模拟,建立车流差异化刹车模型：采用顺次对比方法,筛选桥长范围最不利刹车车流;引入停车视距,考虑驾驶人反应,区分头车和跟驰车辆,精细模拟车辆刹车动态过程和刹车车流演化过程,差异化确定各车辆刹车参数;实现桥上多状态车流并行动态演化模拟。第三建立刹车力学模型,并融入至已有正常车流的车-桥耦合系统,构建可考虑刹车状态的分析系统。最后确定桥梁典型响应和分析指标,以一座大跨斜拉桥为例,对多刹车工况下的桥梁响应进行分析。结果表明：桥上刹车状况一般会产生超过正常行驶状况下的桥梁响应,最不利单车道刹车状况下的塔根弯矩甚至达到跑车工况的2.7倍,简单采用规范冲击系数方法很难实现刹车响应的包络;刹车过程中的桥梁响应最值不仅与采取刹车的车辆数目和桥上车辆保有量有关,还受刹车作用与桥梁原响应趋势的顺逆程度控制;桥梁及桥上刹停车辆的总质量和桥上正常行驶的车辆决定桥梁响应时程曲线趋势振幅;典型桥梁响应的总体趋势,与车流密度和刹车车道数相关性较小,不同时段车流会对梁端顺桥向位移和塔根弯矩产生影响。