路面特性对车辆振动影响规律研究

对软路面上车辆的扭转、垂直和纵向振动进行了研究,首先对振动车辆进行单因素(路面不平度、胎压、路面抗压强度和牵引负荷)分析,找出对车辆振动影响显著的因素及影响规律,在此基础上对影响振动的多因素进行正交试验,分析交互作用对车辆振动的影响规律。同时,对不同路面条件下振动进行研究分析。随着路面波形频率、路面抗压能力、轮胎气压和牵引负荷的增加,车辆扭转、垂直和纵向振动增加。对于垂直振动、扭振和纵向振动,其主要影响因素各不相同。     

Optimization of Vehicles Elasto-Damping Elements Characteristics from the Aspect of Ride Comfort

SUMMARY

Spatial random vibrations of a vehicle that arise during driving represent an important factor in functioning of a dynamic system: Driver - Vehicle - Environment. They carry certain information for driver and also cause fatigue of driver and passenger.

This is the reason why the tendency is towards the minimization of vibratory loads, what in practice can be achieved by optimization of characteristics of elasto - damping elements of a vehicle.

In this paper for optimization of elasto - damping elements of a vehicle we used a complex nonlinear model of a driver and a vehicle during the straight - line motion of the vehicle on a rough road. Optimization was performed by application of the Hooke - Jeeves method and by use of outside penalty functions as well as the objective function that enabled simultaneous optimization of vertical vibrations of the driver's seat, vibrations of the steering wheel, and normal reactions in the contact surface of the tyre and road. The optimization was performed with application of the computer HP 9000/800 SE on the example of a medium passenger car.     

Ride quality evaluation of a vehicle with a planar suspension system

The longitudinal connection between a chassis and a wheel in a conventional vehicle suspension system is commonly very stiff than the vertical connection. Such a mechanism can efficiently isolate vibrations and absorb shocks in the vertical direction but cannot sufficiently attenuate the impact in the longitudinal direction. In order to overcome such a limitation, a planar suspension system (PSS) with spring–damper struts in both the longitudinal and vertical directions is proposed so that the vibration along any direction in the wheel rotation plane can be isolated. In this paper, the dynamic responses of a vehicle with PSS due to a single bump and random road unevenness are investigated. The ride quality of the vehicle with PSS is evaluated in accordance with ISO 2631. A comparison with that of a similar conventional vehicle is conducted to demonstrate the promising potentials of the PSS in improving the vehicle ride quality.     

对汽车平顺性评价方法的探讨与建议

首先分析了现行国家标准GB4970-1996<汽车平顺性随机输入行驶试验方法>与国际上通行的人体振动评价标准ISO2631-1997的区别.通过道路试验测量了驾驶员坐垫、靠背和脚部的平移振动以及坐垫的旋转振动共lO个方向的振动.分析发现汽车中人体振动的峰值因子一般小于9;而按照GB4970和ISO2631的试验数据对比表明,GB4970在一定程度上低估了人体振动.分析各方向振动所占的比例发现,坐垫垂向振动、靠背前后振动和坐垫侧倾振动影响最大.最后提出了对汽车平顺性评价方法的建议.     

High-frequency random vibration analysis of a high-speed vehicle–track system with the frequency-dependent dynamic properties of rail pads using a hybrid SEM–SM method

A hybrid Spectral Element Method (SEM)–Symplectic Method(SM) method for high-efficiency computation of the high-frequency random vibrations of a high-speed vehicle–track system with the frequency-dependent dynamic properties of rail pads is presented. First, the Williams-Landel-Ferry (WLF) formula and Fractional Derivative Zener (FDZ) model were, respectively, applied for prediction and representation of the frequency-dependent dynamic properties of Vossloh 300 rail pads frequently used in China's high-speed railway. Then, the proposed hybrid SEM–SM method was used to investigate the influence of the frequency-dependent dynamic performance of Vossloh 300 rail pads on the high-frequency random vibrations of high-speed vehicle–track systems at various train speeds or different levels of rail surface roughness. The experimental results indicate that the storage stiffness and loss factors of Vossloh 300 rail pad increase with the decrease in dynamic loads or the increase in preloads within 0.1–10,000?Hz at 20°C, and basically linearly increase with frequency in a logarithmic coordinate system. The results computed by the hybrid SEM–SM method demonstrate that the frequency-dependent viscous damping of Vossloh 300 rail pads, compared with its constant viscous damping and frequency-dependent stiffness, has a much more conspicuous influence on the medium-frequency (i.e. 20–63?Hz) random vibrations of car bodies and rail fasteners, and on the mid- (i.e. 20–63?Hz) and high-frequency (i.e. 630–1250?Hz) random vibrations of bogies, wheels and rails, especially with the increase in train speeds or the deterioration of rail surface roughness. The two sensitive frequency bands can also be validated by frequency response function (FRF) analysis of the proposed infinite rail–fastener model. The mid and high frequencies influenced by the frequency-dependent viscous damping of rail pads are exactly the dominant frequencies of ground vibration acceleration and wheel rolling noise caused by high-speed railways, respectively. Even though the existing time-domain (or frequency-domain) finite track models associated with the time-domain (or frequency-domain) fractional derivative viscoelastic (FDV) models of rail pads can also be used to reach the same conclusions, the hybrid SEM–SM method in which only one element is required to compute the high-order vibration modes of infinite rail is more appropriate for high-efficiency analysis of the high-frequency random vibrations of high-speed vehicle–track systems.     

大跨径钢桥面铺装层车辆动响应影响因素分析

从耦合振动的角度出发,研究大跨径钢桥面铺装层在车辆随机动荷载作用下的响应机制.将汽车等效为2自由度5参数模型,考虑桥梁表面不平顺产生的随机激励,建立车-钢桥面铺装耦合振动分析模型.利用模态分析与时变系数常微分方程求解方法,分析钢桥面铺装在车辆随机动荷载作用下的动力响应分布规律.定义由铺装层竖向位移、拉应力和拉应变表示的动力放大系数,研究车速、桥面不平度、铺装层开裂损伤和粘结层滑移等对动力放大系数的影响.结果表明,路面不平度、粘结层滑移是影响动力放大系数的主要因素,在进行大跨径钢桥面铺装结构设计时可考虑动力放大系数为1.5.     

道路破坏的影响因素及悬架参数优化

本文建立了一个九自由度线性汽车模型来仿真汽车对路面随机输入的响应，以改进的四次幂定律为评定汽车对道路破坏的指标，分析了装载量、车速以及车身和悬架参数对道路破坏的影响，并对悬架系统的参数进行了优化。为具有道路友好性的汽车的设计提供了依据。     

An Investigation of the Origins of Vibration of an Automobile Rear Axle

An investigation was carried out to determine the origins of vibration of an automobile rear axle with the object of establishing the significance of road-surface-induced vibratory inputs. This was achieved by measuring the vibratory acceleration of the rear axle of an automobile as it traverses straight sections of typically paved roads, at uniform speeds, then comparing the results with those obtained by laboratory simulation.

The investigation revealed significant levels of vertical, longitudinal and, to a much lesser extent, lateral vibrations. The main source of vertical vibrations is shown to be induced mainly by vertical displacements imposed by the road-surface irregularities on the vehicle tyres. The longitudinal and lateral components are shown to be induced mainly by the engine and the drive-line (including tyre/wheel assemblies) as well as due to coupling between the vertical, longitudinal and lateral motions of the rear axle imposed by the geometry of the rear axle suspension.     

Three-Dimensional Analysis of Train-Rail-Bridge Interaction Problems

A vehicle-rail-bridge interaction (VRBI) model for analysing the 3D dynamic interaction between the moving trains and railway bridge was developed. By the dynamic condensation scheme, three types of vehicle-rail interaction (VRI) elements were derived, by which the vehicle and bridge responses, as well as the wheel / rail contact forces, can be computed. Track irregularity of random nature was taken into account. The results indicate that resonance can occur in both the lateral and torsional vibrations of the bridge, as well as in the vertical vibration. Under the crossing of two face-to-face moving trains, the vertical vibration of the bridge is greatly intensified, while the lateral and torsional responses may be increased or reduced, depending on how the two trains cross each other. Finally, two common indices are used to assess the possibility of derailment for trains passing over the bridge at different speeds.     

桥面不平顺对下承式系杆拱桥振动影响的试验和模拟研究

为了获得下承式系杆拱桥的汽车荷载冲击系数，在桥面间隔布置橡胶减速条带以形成周期性的不平顺输入，对下承式钢管混凝土系杆拱桥的动挠度进行现场实测。结合自编的车桥耦合（VBI）单元，建立车-桥耦合振动三维有限元分析模型，通过与实测结果对比验证VBI单元的正确性。在此基础上，引入另外3座标准拱桥以形成涵盖4种跨径的下承式系杆拱桥研究对象，输入规范规定的A~D级不平顺，研究车速、车重和桥梁基频对系梁冲击系数的影响。研究结果表明：汽车通过周期间隔布置的减速带时会形成稳态激振，当激振频率接近桥梁的前2阶基频时，引起的系梁动挠度响应最大；系梁的汽车荷载冲击系数随着桥梁基频的增加呈现出先增大后减小的趋势，当小汽车（总重低）行驶于差桥面（D级不平顺）时，规范值明显低估了系梁的冲击系数。     

Fundamentals of vehicle–track coupled dynamics

This paper presents a framework to investigate the dynamics of overall vehicle–track systems with emphasis on theoretical modelling, numerical simulation and experimental validation. A three-dimensional vehicle–track coupled dynamics model is developed in which a typical railway passenger vehicle is modelled as a 35-degree-of-freedom multi-body system. A traditional ballasted track is modelled as two parallel continuous beams supported by a discrete-elastic foundation of three layers with sleepers and ballasts included. The non-ballasted slab track is modelled as two parallel continuous beams supported by a series of elastic rectangle plates on a viscoelastic foundation. The vehicle subsystem and the track subsystem are coupled through a wheel–rail spatial coupling model that considers rail vibrations in vertical, lateral and torsional directions. Random track irregularities expressed by track spectra are considered as system excitations by means of a time–frequency transformation technique. A fast explicit integration method is applied to solve the large nonlinear equations of motion of the system in the time domain. A computer program named TTISIM is developed to predict the vertical and lateral dynamic responses of the vehicle–track coupled system. The theoretical model is validated by full-scale field experiments, including the speed-up test on the Beijing–Qinhuangdao line and the high-speed running test on the Qinhuangdao–Shenyang line. Differences in the dynamic responses analysed by the vehicle–track coupled dynamics and by the classical vehicle dynamics are ascertained in the case of vehicles passing through curved tracks.     

基于汽车车身垂直加速度的典型道路路面谱识别研究

以1/4汽车振动模型为研究对象,推导出以汽车车身垂直振动加速度作为输入信号、路面不平度作为输出信号的数学模型及其模拟图,并利用MATLAB/SIMULINK搭建系统模型求解路面不平度,对路面不平度进行谱估计完成路谱的识别。通过实际测试和数据处理分析,说明该方法理论依据正确可行,可以为虚拟样机仿真路面的生成提供数据支持。     

Road roughness estimation based on discrete Kalman filter with unknown input

ABSTRACT

The road roughness acts as a disturbance input to the vehicle dynamics, and causes undesirable vibrations associated with the ride and handing characteristics. Furthermore, the accurate measurement of road roughness plays a key role in better understanding a vehicle dynamic behaviour and active suspension control systems. However, the direct measurement by laser profilometer or other distance sensors are not trivial due to technical and economic issues. This study proposes a new road roughness estimation method by using the discrete Kalman filter with unknown input (DKF-UI). This algorithm is built on a quarter-car model and uses the measurements of the wheel stroke (suspension deflection), and the acceleration of the sprung mass and unsprung mass. The estimation results are compared to the measurements by laser profilometer in-vehicle test.     

Biodynamic responses of seated pregnant subjects exposed to vertical vibrations in driving conditions

A pregnant woman's body is a very sophisticated dynamic system that is sensitive to whole-body vibrations in a sitting posture. While much effort has been devoted to vibration effects on non-pregnant seated persons, little research has been devoted to the biodynamic responses of seated pregnant women exposed to vertical vibrations, especially in driving conditions. In this study a thorough survey of lumped-parameter models for non-pregnant seated persons is implemented. According to the literature the mathematical models adequate for representing the increase in mass due to pregnancy are proposed and evaluated systematically. On the basis of an analytical study and experimental validation, the six-degree-of-freedom model modified from the non-linear model proposed by Muksian and Nash is recommended. In addition, the recommended pregnant model is further integrated with two-dimensional half-car and three-dimensional full-car models to assess the responses of pregnant drivers or passengers exposed to vertical vibrations due to road unevenness. It is believed that the study presented in this report provides a profound understanding of biodynamic responses of seated pregnant women and that it may offer vehicle engineers a good reference in the design of vehicle suspension systems.     

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.     

路面不平度对低路堤动应力的影响研究

基于正弦函数变化的路面不平度和两自由度的四分之一车辆模型,推导出车辆随机动荷载计算公式,研究路面不平度对车辆荷载作用下低路堤动力响应的影响规律。建立车-路耦合三维动力有限元模型,计算分析6种工况下不同路面不平度时车辆随机动荷载作用下低路堤的动应力,得出低路堤动应力均随路面不平度值的增加而增大,且与车辆附加动荷载系数m近似为线性关系;提出不同路面不平度时车辆随机动荷载作用下低路堤动应力计算模型,并对比有限元模型得到的低路堤动应力与应力计算模型得到的低路堤动应力。     

The Definition of the Tires Limit of Admissible Nonuniformity by Using the Vehicle Vibratory Model

Purpose of this article was to especially emphasize the contribution of tires nonuniformity radial and lateral force variation to vehicles vibrations, within developed nonlinear dynamic model of a vehicle. The tire nonuniformity force variations are introduced in simulations processes by radial and lateral dynamic forces in the area of wheels-road contact. The limits of admissible Peak - to - Peak radial and lateral force variation and Peak - to - Peak first harmonic radial and lateral force variation nonuniformity were defined by using a vehicle vibratory model. The tire nonuniformity parameters were defined from the aspect of vertical seat cushion and the steering wheel rim vibrations using the developed optimization program and the Pentium 90 MHz computer.     

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.     

基于RBF神经网络识别路面谱的新方法

路面不平度是车辆行驶中振动的重要激励。为了识别路面不平度的功率谱密度函数(路面谱),提出了一种基于径向基函数(RBF)神经网络识别路面谱的新方法。该方法以7自由度汽车振动模型为基础,以MATLAB软件仿真得到的汽车车身质心垂直加速度谱为神经网络理想输入样本,以GB7031-86建议的路面谱为神经网络理想输出样本,应用RBF神经网络建立汽车车身质心垂直加速度谱和路面谱之间的非线性映射模型。另取一组仿真得到的车身质心垂直加速度谱代入已训练好的网络进行路面谱识别。结果表明:该方法具有较强的抗噪声能力和较理想的识别精度,识别的路面谱与拟合的路面谱吻合一致。     

车桥耦合振动系统模型下桥梁冲击效应研究

把桥梁和车辆看作车桥耦合振动体系的两个分离子系统,基于ANSYS软件建立了3种车辆和桥梁的有限元模型。考虑桥面不平度影响,以车轮与桥梁接触点的位移作为协调条件,采用分离迭代算法计算了车桥耦合系统的动力响应。采用快速傅立叶逆变换的方法,应用三角级数叠加模拟了5种等级的桥面不平度及其速度项。通过对一简支梁桥车桥耦合振动的数值模拟,研究了车辆模型、桥面状况和车速对桥梁冲击效应的影响。结果表明:不同车辆模型对桥梁的冲击效应差别很大,桥面不平度对冲击效应的影响较车速大,桥梁的位移冲击效应大于内力冲击效应。因此,设计分析时宜采用能充分模拟车辆特性的复杂模型,移动荷载冲击系数取值建议以位移冲击系数为基准。