Lateral dynamics of motorcycles towing single-wheeled trailers

A motorcycle towing a single-wheel trailer may provide useful transport for light cargo on narrow tracks and off-road use, particularly in rural areas of developing countries. Four designs of such trailers are described. Linear models are derived for the lateral dynamics of an off-road motorcycle towing this type of trailer straight ahead at constant speed. The trailers were tested behind an instrumented motorcycle. Linear autoregressive models were fitted to the experimental data using system identification techniques. Analytical and experimentally derived models largely agreed on frequency, damping and shape of the weave, wobble and trailer sway normal modes. The trailers made the motorcycle’s steering heavier but the analytical models did not predict this. The location of the articulation axes between the motorcycle and the trailer were found to be critical for stability. The best trailer design handled well with loads up to 200 kg and speeds up to 70 km/h.     

Handling Characteristics of Car-Trailer Systems; A State-of-the-Art Survey

Work relevant to the state of the art as regards passenger cars towing trailers is referenced and reviewed. Not only included is the very limited amount of work specifically dealing with passenger cars towing trailers, but also reviewed is the much larger body of work having a bearing on car-trailer systems. Topics included are aerodynamic forces, tire forces, the compliance concept, relevant work on vehicles without trailers, vehicles with trailers, and the role of the driver. The types of stability problems exhibited by car-trailer systems are discussed.

The state of the art as regards ability to predict vehicle response to specific steering inputs is shown to be fairly advanced. Recent significant advances include the appearance of experimental data useful for validating theoretical models. However, the state of the art as regards definition of what constitute desirable handling characteristics is still at a primitive stage, largely because of a lack of understanding of the roles played by drivers as part of the vehicle -driver - environment systems.

Throughout the review an effort was made to point out topic areas where it is likely that significant future contributions to the state of the art can be made. These areas are reviewed in the conclusions.     

Ride Vibration Measurements of Agricultural Tractor and Trailer Combinations

SUMMARY

Tractor ride vibration levels have been measured when operating with and without a two wheel (2W) unbalanced and a four wheel (4W) balanced trailer. Measurements were made in the vertical, pitch, longitudinal and roll directions with the trailers unladen and laden over four typical farm surfaces

The results showed that tractor ride vibration levels were usually increased in all directions-particularly the longitudinal direction- when operating with the laden trailers. But for the unladen trailers, they were increased only in the longitudinal direction. Predominant tractor frequencies tended to be lower with the trailers attached, and coupling between the tractor longitudinal, vertical, roll and pitch co-ordinates was generally increased

Comparisons of the results with the trends predicted by a simplified theoretical model of a tractor and 2W trailer, suggested that the model should be extended to include, (a) the roll direction, (b) more realistic ground inputs, and (c) a 4W trailer     

整体自装卸补给车专用挂车总体设计

介绍了整体自装卸补给车专用挂车总体及各部分总成结构,通过空气悬架对挂车高度的调整,与主车对接实现独立装卸作业,提高了自装卸补给车的运输能力。     

Ride Vibration Measurements of Agricultural Tractor and Trailer Combinations

Tractor ride vibration levels have been measured when operating with and without a two wheel (2W) unbalanced and a four wheel (4W) balanced trailer. Measurements were made in the vertical, pitch, longitudinal and roll directions with the trailers unladen and laden over four typical farm surfaces

The results showed that tractor ride vibration levels were usually increased in all directions-particularly the longitudinal direction- when operating with the laden trailers. But for the unladen trailers, they were increased only in the longitudinal direction. Predominant tractor frequencies tended to be lower with the trailers attached, and coupling between the tractor longitudinal, vertical, roll and pitch co-ordinates was generally increased

Comparisons of the results with the trends predicted by a simplified theoretical model of a tractor and 2W trailer, suggested that the model should be extended to include, (a) the roll direction, (b) more realistic ground inputs, and (c) a 4W trailer     

汽车列车的转弯半径计算

由于运输效率提升的需要,一辆汽车会拖挂多台挂车,为了满足后期运营场景,在设计之初就应对这种汽车列车的最小转弯半径进行计算,评估运营场地或道路情况。文章主要通过汽车列车转动时没有相对转动角速度这一前提条件,对拖拽多台挂车的汽车列车的最小转弯半径进行分析计算,从而得出拖拽3台挂车的最小转弯半径公式,并由此推导出拖拽n台挂车的转弯半径的计算公式。运用该公式对某一机场牵引列车进行计算,该公式的计算结果与实际运营场景相符,证实该公式可用于工程开发和实车应用评估。     

The critical hitch angle for jackknife avoidance during slow backing up of vehicle–trailer systems

We set out to answer the question: At what hitch angle does it become impossible for a vehicle and trailer to continue to backing up without getting into a jackknife? Jackknifing during backing up of trailers occurs when the hitch angle increases to a point such that the vehicle and trailer fold together about the hitch point like a jackknife. If the backward motion is continued, the jackknife effect progressively worsens, until the vehicle and trailer are in physical contact with each other. Jackknifing can result in traffic disruptions and wasted time, and can potentially cause damage or personal injury. Our goal is to analytically determine the ‘critical hitch angle’ (θ_cr), the hitch angle threshold beyond which a continued reverse motion causes an inescapable jackknifing. In this paper, we provide a formal definition of θ_cr for slow backing up of vehicle–trailer systems on a level solid surface, beyond which the vehicle must stop backing up and revert to forward motion in order to escape from jackknifing. The critical hitch angle is sub-categorised into Absolute (θ_cr, a) and Directional (θ_cr, d) critical hitch angles depending on the operating constraints and vehicle steering objectives. One solution for θ_cr is posed as a numerical solution to the steady-state conditions of the dynamic equations. The effects of such hitch angle limitations are demonstrated through simulation. Also, a warning system making use of the θ_cr is proposed. Such warning systems can assist drivers in avoiding jackknifing while backing up a vehicle–trailer system.     

东风系列军用牵引车挂车制动系统的改进

分析了我军牵引车辆与牵引装备制动系统的匹配现状,阐明了问题的解决思路,提出了对东风系列军用牵引车挂车制动系统的改进方案,并对改进前后牵引车辆挂车制动系统的工作原理进行了对比,验证了改进方案的可行性。     

The chatter of racing motorcycles

The chatter of motorcycles appears during braking and consists of a vibration of the rear and front unsprung masses at a frequency in the range of 17-22 Hz depending on the motorcycle. This vibration could be very strong and acceleration of the unsprung masses can reach 5-10 g. The chatter is an auto-excited vibration and this fact explains why it appears suddenly when the mechanism of auto-excitation is generated. This paper presents the chatter phenomenon both from an experimental and a numerical point of view. First, the chatter is defined on the basis of some experimental data from racing motorcycles and from the comments of some racing teams technicians. Then, chatter is analysed in different motion conditions and for different braking styles by means of linear and non-linear simulations of the motorcycle dynamics. A physical interpretation of the phenomenon is also proposed.     

A Theoretical Analysis of the Ride Vibration of Agricultural Tractor and Trailer Combinations

SUMMARY

A six degree of freedom model of an agricultural tractor and trailer combination has been developed. Results from eigenvalue and frequency response calculations indicated that tractor operator vibration levels will be higher when operating with a trailer than for the tractor alone, due mainly to increased tractor pitch motion.

Although minor improvements could be made to present tractor and trailer combinations by moving the hitch forward of the tractor rear axle or providing some damping at a sprung hitch, the scope for a significant improvement in ride lies in changing the configuration. If higher speed specialised transport vehicles prove economical for agriculture, there are some advantages in ride vibration to be gained by changing the layout of the tractor and trailer combination to resemble an off-road version of a commercial articulated lorry.     

关于重卡防护装置增加阻尼系统的可行性分析与设计

市场上汽车和挂车后下部防护装置多为刚性连接,当发生车辆追尾碰撞时,不能有效保护乘坐人员的安全,屡屡发生小车钻进大货车尾部伤亡事故.本文目的是提供一种汽车和挂车后下部柔性防护装置,克服已有汽车和挂车后下部防护装置缺点和不足,使汽车发生追尾碰撞时避免发生伤亡事故.此后下部防护装置不仅仅是保护追尾的小车,同时也保护了货车自身...     

基于ADVISOR二次开发的混合动力越野车仿真分析

针对混合动力越野车性能仿真需求,考虑到ADVISOR不能提供变化路面条件和不同环境条件下的仿真分析,对ADVISOR进行了二次开发。通过修改ADVISOR中整车模型、车轮模型和部件模型,增加滚动阻力系数模型、车轮滑转率与附着系数模型和蓄电池温度模型,建立了串联式混合动力越野车仿真系统。对某在研国产串联式混合动力越野车的整车性能进行了仿真分析。仿真结果表明,不同的路面条件和环境条件对混合动力车的各种性能有较大影响。     

超重型可拼装式全挂车设计

超重型可拼装式全挂车可满足超重、超长、超高货物的运输要求，采用拼装式结构可根据所运货 需要随时拼装成满足运输要求的全挂车，文中所述的可拼装式全挂车车架结构简单，可拼装成８种挂车方式，采用液压悬架系统、可升降式平台、机械式全轮转向系统，承载范围为８０ｔ～４００ｔ。     

A Theoretical Analysis of the Ride Vibration of Agricultural Tractor and Trailer Combinations

A six degree of freedom model of an agricultural tractor and trailer combination has been developed. Results from eigenvalue and frequency response calculations indicated that tractor operator vibration levels will be higher when operating with a trailer than for the tractor alone, due mainly to increased tractor pitch motion.

Although minor improvements could be made to present tractor and trailer combinations by moving the hitch forward of the tractor rear axle or providing some damping at a sprung hitch, the scope for a significant improvement in ride lies in changing the configuration. If higher speed specialised transport vehicles prove economical for agriculture, there are some advantages in ride vibration to be gained by changing the layout of the tractor and trailer combination to resemble an off-road version of a commercial articulated lorry.     

戋谈非道路摩托车检测过程中的一些问题

在对非道路摩托车的实际检测中,整车产品质量存在如车架机械强度不够、车辆可靠耐久性不够、最高车速与实际车速不匹配、前后轮制动力不符合要求、排放超标、整车装配及轮辋偏差超标等问题,从中可以看出目前的非道路摩托车产品质量有待进一步提高,各企业唯有从车辆的设计、材料、工艺、装配和性能上全面改进产品,才能使非道路车产业得以长足发展。     

多轴液压挂车转向角期望值的确定

介绍了目前多轴线挂车设计中普遍采用的转向角期望值的确立方法并指出其存在的问题,引入了牵引距、转向距等概念,给出挂车列车在无侧滑的纯滚动要求下目标转角的正确计算方法,对某型挂车的转向实例进行了分析并作出结论。     

Longitudinal Oscillations of Vehicle/Trailer Combinations Induced by Overrun Braking

A mathematical model for the representation of longitudinal oscillations which can occur in car/trailer systems in braking, when the trailer brakes are applied through compression of the towing hitch, is described. The model is used to show how the trailer braking system parameters affect the steady deceleration performance of the vehicle combination, and the stability, in the linear system sense, of the steady motions. The sensitivity of the stability to other system design parameters is also examined.

Digital simulation of the motions occurring in response to a step input of car braking torque is reported, with the results confirming the predictions of the linear stability analysis, and also showing the influence of backlash in the trailer brake actuating mechanism.

The system is shown to be capable of self-excitation in a “shunting” mode, in which the car and trailer motions are in antiphase, with the stability/damping property critically dependent on drawbar damping, and only weakly dependent on other system parameters. The characteristic frequency of the “shunting” mode oscillations is shown to be controllable via the stiffness of the trailer brake linkage, but this frequency is closely related to the steady drawbar deflection which occurs in uniform deceleration.

The model behaviour described provides a basis for the design of relevant systems whose longitudinal dynamic characteristics will be satisfactory.     

基于力学分析的皮卡车牵引能力研究

本文介绍了一种基于力学分析的皮卡车(也称多用途货车)牵引能力的理论计算和试验方法,得出了决定皮卡车牵引能力的主要因素有:皮卡车动力传动系统能力、驱动形式、结构强度,挂车类型以及道路情况等。经验证,理论计算得到的牵引能力与试验结果一致性较好:通过皮卡车牵引能力的计算和验证,能够有效指导企业进行设计开发,充分发挥皮卡车较强的牵引能力特性,推动皮卡车市场发展。     

On the sway stability improvement of car–caravan systems by articulated connections

The present analysis is addressed to some promising connection arrangements between the towing vehicles and the towed trailers, where the two units are linked by four-bar isosceles trapeziums in place of the conventional pintle hitch. Two types of instability, of the divergent type or the oscillating type, may be analysed by the Routh–Hurwitz criterion or by the direct analysis of the characteristic equation. The constant term of this equation vanishes at the divergent instability threshold (zero of a real root), whereas the equation splits into two lower degree algebraic ‘sub-equations’ when the oscillating instability arises (pair of pure imaginary roots). A large field of geometrical configurations of the four-bar linkage may be quickly tested by numerical search procedures, including those where the sidebars of the linkage converge towards the inside of the drawing car and shift the relative centre of rotation forward, and those converging backward towards the trailer. Maps of the critical velocity as a function of the geometrical or physical parameters may be easily traced. They clearly show the favourable influence of the forward four-bar connection in general and the benefits achievable comparing with the conventional coupling. Actually, it is conceivable to increase the critical speed by optimising the four-bar design depending on the weight distribution on the axles and on the other geometrical and physical properties. Moreover, this type of connection may produce significant corrections to the under-steering or over-steering conduct of the articulated vehicle. The off-tracking and the manoeuvrability along curved paths are also studied, showing the benefits or the drawbacks of the four-bar linkage for the various configurations.     

出口箱随机入港下的集装箱码头泊位调度

针对港口竞争环境下产生的出口箱随机入港分散堆放策略,综合考虑出口箱堆场堆存位置分布以及泊位分配与集卡路径之间的相互影响,提出了出口箱随机入港下的集装箱码头泊位调度问题,并以船舶停靠泊位为决策变量,以所有集卡行驶总路径最短为目标函数,建立了泊位调度优化模型。采用基于遗传算法的启发式算法,对遗传算子进行了改进设计。最后,应用算例对模型和算法进行仿真实验,并将优化后结果与传统的先到先服务泊位调度模式进行比较分析。结果表明:以集卡行驶总路径为考量的泊位调度优化可使集卡行驶总路径缩短11.51%,可明显降低港口的运营成本,同时获得合理的泊位分配计划,模型和算法可行有效。