On vehicle/track impact at connection between a floating slab and ballasted track and floating slab track's effectiveness of force isolation

When a vehicle runs over the connection between a floating slab track (FST) and ballasted track, wheel/rail impact may occur because of the stiffness difference in the two kinds of track, and thus a transition sector is usually included at the connection to smoothen the stiffness change. This phenomenon is studied by numerical simulation using a time-domain model for an idealised case without such a transition to determine whether it is actually necessary. Calculation results show that the wheel/rail impact load is moderate for a light FST and increases with the vehicle speed or decreasing the natural frequency of the FST. From simulation the wheel/rail parametric excitation is observed, as a result of variation in the stiffness of the FST with the period of the single slab length. The wheel/rail load due to the parametric excitation also increases with the vehicle speed. In addition, good performance of vibration isolation can be seen for the FST in terms of the force transmitted to the infrastructure.     

新型钢板组合梁桥车桥耦合振动控制研究

新型钢板组合梁桥自重轻,车辆质量与主梁的模态质量之比较大,在车辆活载下易发生振动.文中以某一新型钢板组合梁桥为例进行动力特性分析,研究不同质量比的液体质量双调谐阻尼器(TLMD)对结构动力响应的影响,并进行简谐激励时程分析和车桥耦合振动数值模拟,对该桥进行车桥耦合振动实测和对比.结果表明,TLMD对钢板组合梁桥具有良好...     

悬索桥吊索高阶涡激振动及摆锤式MTMD减振技术研究

为了解大跨度悬索桥吊索出现的大幅高频振动现象,并进行减振,以国内某主跨1688 m的悬索桥为背景(最长吊索长184.6 m),基于理论方法和施工期吊索大幅高频振动实测结果,分析吊索的振动类型及参数(频率、阻尼比);提出一种摆锤式多重调谐质量阻尼器(MTMD,其由一定形状的锤头提供质量参数,由钢绞线提供刚度及阻尼参数),采用有限元和室内试验的方法,分析其振动特性,并进行实桥验证。结果表明:该桥吊索振动频率范围为5~25 Hz,阻尼比低,单个吊点的多根吊索易发生同相位的高阶涡激振动;摆锤式MTMD单个锤头具有2个控制主频,自身阻尼比约10%,具有位移放大作用,对高频振动的响应灵敏,在很宽的频率范围内具有很好的减振性能;摆锤式MTMD可有效增加吊索自身阻尼比,控制吊索高阶涡激振动,实测减振效果达到90%以上,具有很好的实用性。     

Experimental investigations on the damping effect due to passengers on flexural vibrations of railway vehicle carbody and basic studies on the mimicry of the effect with simple substitutions

The effect of passengers on a railway vehicle is usually considered as additional mass in designing a carbody. However, previous studies by means of stationary excitation tests or running tests using actual vehicles indicate that passengers behave not as mass but as damping. In this paper, the authors examined the passengers' damping effect under controlled excitation conditions on a roller rig through a series of excitation tests using a commuter-type vehicle. Large and multi-modal reductions of flexural vibrations of the carbody were observed when passengers existed. Influences of the number of passengers, distributions and postures of passengers were investigated. The authors also tried to mimic the damping effect by passengers using flexible tanks filled with fluids. Three kinds of fluids which have different viscosities have been tested. As a result of the excitation tests, good vibration reduction effects were observed by applying those tanks, and it has been found that the flexible tanks filled with fluids bring about vibration reduction effect (including multi-modal reduction) which is equal to or rather better than the case of similar mass of passengers in the carbody; the difference of viscosity gave little affect on the damping abilities. From these measurement results, a possibility of realising effective damping devices against flexural vibrations of railway vehicle carbodies representing passengers damping effect, in a simple, economical and environmental friendly way, has been demonstrated.     

A model for vehicle–track random interactions on effects of crosswinds and track irregularities

A stochastic mathematical model is developed to evaluate the dynamic behaviours and statistical responses of vehicle–track systems when random system excitations including crosswinds and track irregularities are imposed. In this model, the railway vehicle is regarded as a multi-rigid-body system, the track system is modelled by finite element theory. These two systems are spatially coupled by the nonlinear wheel–rail contact forces and unsteady aerodynamic forces. The high efficiency and accuracy of this stochastic model are validated by comparing to the robust Monte-Carlo method. Numerical studies show that crosswinds have a great influence on the dynamic performance of vehicle–track systems, especially on transverse vibrations. When the railway vehicle initially runs into the wind field, it will experience a severe vibration stage, and then stepping into a relatively steady state where the fluctuating winds and track irregularities will play deterministic roles in the deviations of system responses. Moreover, it is found that track irregularities should be properly considered in the safety assessment of the vehicle even in strong crosswinds.     

Investigation of the effects of sleeper-passing impacts on the high-speed train

The sleeper-passing impact has always been considered negligible in normal conditions, while the experimental data obtained from a High-speed train in a cold weather expressed significant sleeper-passing impacts on the axle box, bogie frame and car body. Therefore, in this study, a vertical coupled vehicle/track dynamic model was developed to investigate the sleeper-passing impacts and its effects on the dynamic performance of the high-speed train. In the model, the dynamic model of vehicle is established with 10 degrees of freedom. The track model is formulated with two rails supported on the discrete supports through the finite element method. The contact forces between the wheel and rail are estimated using the non-linear Hertz contact theory. The parametric studies are conducted to analyse effects of both the vehicle speeds and the discrete support stiffness on the sleeper-passing impacts. The results show that the sleeper-passing impacts become extremely significant with the increased support stiffness of track, especially when the frequencies of sleeper-passing impacts approach to the resonance frequencies of wheel/track system. The damping of primary suspension can effectively lower the magnitude of impacts in the resonance speed ranges, but has little effect on other speed ranges. Finally, a more comprehensively coupled vehicle/track dynamic model integrating with a flexible wheel set is developed to discuss the sleeper-passing-induced flexible vibration of wheel set.     

Kineto-dynamic design optimisation for vehicle-specific seat-suspension systems

Designs and analyses of seat-suspension systems are invariably performed considering effective vertical spring rate and damping properties, while neglecting important contributions due to kinematics of the widely used cross-linkage mechanism. In this study, a kineto-dynamic model of a seat-suspension is formulated to obtain relations for effective vertical suspension stiffness and damping characteristics as functions of those of the air spring and the hydraulic damper, respectively. The proposed relations are verified through simulations of the multi-body dynamic model of the cross-linkage seat-suspension in the ADAMS platform. The validity of the kineto-dynamic model is also demonstrated through comparisons of its vibration transmission response with the experimental data. The model is used to identify optimal air spring coordinates to attain nearly constant natural frequency of the suspension, irrespective of the seated body mass and seated height. A methodology is further proposed to identify optimal damping requirements for vehicle-specific suspension designs to achieve minimal seat effective amplitude transmissibility (SEAT) and vibration dose value (VDV) considering vibration spectra of different classes of earthmoving vehicles. The shock and vibration isolation performance potentials of the optimal designs are evaluated under selected vehicle vibration superimposed with shock motions. Results show that the vehicle-specific optimal designs could provide substantial reductions in the SEAT and VDV values for the vehicle classes considered.     

TMD design for seismic vibration control of high-pier bridges in Sichuan–Tibet Railway and its influence on running trains

Sichuan–Tibet Railway plays a vital role in China’s transportation system by connecting Tibet and Central China, whose design and construction are extremely difficult due to numerous seismic zones and deep valleys along the railway line. This paper systematically presents a framework to control seismic vibration of T-beam bridges with high-piers in Sichuan–Tibet Railway using tuned mass dampers (TMDs). Firstly, a finite element model of the widely used high-pier bridge is established to reveal its vibration modes subject to earthquakes. On this basis, optimal installation locations and optimal parameters of the TMDs are determined. Then, vibration reduction effects of the designed TMDs on the high-pier bridge subject to actual earthquake samples are investigated and compared with that of using some other vibration absorption measures. Finally, a detailed train-track-bridge dynamic model with attached TMDs is established to study the effects of the designed TMDs on the seismic responses of the running trains. The results indicate that, for the high-pier T-beam bridges, the first bending vibration mode of the high-pier is most likely to be excited by earthquakes, which should be restrained. With the designed optimal parameters, the attached TMDs are effective to control seismic vibrations of the concerned high-pier bridges. Tuned mass damper is the best one among all the investigated measures to absorb vibrations subject to earthquakes from the perspective of vibration absorption performance, installation and maintenance.     

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。     

板式无砟轨道交通引起的环境振动数值分析

利用已研究出的高速铁路动荷载,采用粘弹性边界,运用有限元法建立轨道-路基-大地二维动力分析模型,分析板式无砟轨道交通引起的振动在大地中的传播特性。计算分析表明:地表的振动强度随着离轨道中心线的距离增加而逐渐衰减。离轨道中心线近处,地表振动较强,而且加速度主要频段在20 Hz以上;离轨道中心线较远处,振动较小,加速度主要频段在10 Hz以下。随着离轨道中心距离的增加,加速度幅值随之减小,而且地表20 Hz以上的振动衰减得较快,10 Hz以下的振动衰减得较慢。     

Investigating the influence of soil properties on railway traffic vibration using a numerical model

This paper presents the influence of dynamic and geometrical soil parameters on the propagation of ground vibrations induced by external loads. The proposed approach is based on a three-dimensional model, focusing on realistic excitation sources like impulse loads and moving railway vehicles. For the latter, a complete vehicle/track model is developed. The simulation is performed in time domain, offering an interesting approach, compared with classic cyclic analyses. The ground is modelled initially as an elastic homogeneous half-space and additionally as a layered half-space. First, the effect of homogeneous soil properties on ground vibration is analysed. Soil stratification is then taken into account, using various configurations. Analysis reveals that as receiver distance increases ground wave reflection in a layered ground plays an important role in the reduction of ground surface motion. This effect is magnified when the phase velocity wavelength becomes large compared with the depth of the surface layer.     

Effects of rail thermal stress on the dynamic response of vehicle and track

A new method is proposed to obtain the dynamic responses of the vehicle–track coupling system under the conditions of rail thermal stress changes in high-speed railways. Exact models are established with different rail longitudinal forces, in which multibody dynamic models are used for vehicles and the direct stiffness method for structures. In order to provide a general, simple and flexible formulation to express longitudinal stress distribution, the accurate model of long slab track consists of many small units with parameters which can be initialised separately. The exact analytical equation of track frequency and modal function was obtained by the transition matrix method, which can be used in calculating the dynamic response of wheel–rail coupling model. The proposed model is verified through comparisons with other classical solutions. Under the influence of train velocities and track irregularities, the specific vibration performances that frequency shifted and amplitude peak enhanced with thermal force are demonstrated through examples. The results show that the response analyses of vehicle and track have great application potentiality for fast estimation of the rail longitudinal stress.     

水中悬浮隧道锚索的非线性涡激振动研究

建立了水中悬浮隧道锚索在波流场中涡激振动的非线性数学模型,考虑了锚索的几何非线性对其涡激振动的影响,并应用有限差分法求解了锚索的运动控制方程。计算结果表明:锚索在顺流向和横向2个方向运动的耦合作用特别是几何非线性作用的引入,抑制了部分高阶模态的激发,使锚索横向涡激振动的振幅减小,顺流向振动的振幅增大;在悬浮隧道的振动引起的强迫激励和参数激励作用下,锚索顺流向涡激振动振幅显著增大,横向涡激振动出现"拍"的现象。     

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.     

桥塔尾流风作用下吊索尾流致振动模型与参数分析

现场实测表明,大跨度悬索桥塔后吊索受桥塔尾流影响常发生大幅尾流致振.为研究该振动机理,同时为工程设计和应用实践提供理论指导,以某大跨悬索桥桥塔单根塔柱和塔后吊索为研究对象,首先进行了大比例尺节段模型的风洞试验.通过试验,再现吊索在桥塔尾流区内的尾流致振现象,研究吊索的振动特征与桥塔尾流风速特征.在此基础上,考虑尾流刚度...     

汽车加速扭转共振问题的整改

为解决汽车加速扭转共振问题,探讨了某款柴油车在1 700 r/min左右产生的扭振和共鸣声的机理,可通过改变相关件的扭振频率及增加扭振阻尼来解决此问题.在没有双质量飞轮的情况下,最终通过调整离合器扭转减振器的刚度和阻尼,以及与传动轴挠性联轴器的组合运用,消除了该车型的扭振问题.结果表明,扭振是由系统共振引起,在扭振的源头采取对策才是最有效的方法.     

Rotational vibration absorber for the mitigation of rail rutting corrugation

Torsional vibrations of metro wheel sets are known to be involved in the wavelength-fixing mechanism of the rutting-type rail corrugation. In the first part of this paper, the basic conditions for this type of wear to appear are established using a theory developed in the frequency domain. The efficiency of a dynamic vibration absorber tuned to the first torsional resonance of the wheel set to mitigate rutting corrugation is evaluated numerically. In the second part, the phenomenon is studied on a quarter-scale test bench. The scaling laws for wheel–roller wear predictions are established. The efficiency of the dynamic vibration absorber is evaluated on the scaled bench. The results are compared with theoretical predictions from a linear model. Additionally, the measurements are compared with numerical results from a multi-body model portraying the experiment.     

路桥过渡段车路动力学分析方法研究

为探寻路桥过渡段桥台与引道之间容许差异沉降的理论确定方法，车辆采用两自由度体系模型，路桥过渡段采用不设搭板的台阶模型，行进方向取下桥向，认为车辆通过路桥过渡段作自由振动，给出了车辆振动方程和初始条件，分别用振型叠加法和拉普拉斯变换法进行了车路动力学分析，求出了人的竖向加速度和路面对车辆的作用力。2种方法计算结果非常吻合，表明当车辆模型和路桥过渡段模型较复杂时，路桥过渡段车路动力学分析可以采用拉普拉斯变换法，其中拉氏数值逆变换采用Crump法，计算程序的编制采用MATLAB语言。     

大跨度悬索桥的多阶模态竖向涡振与控制

大跨度悬索桥具有多个竖向模态密集分布的特性。在常遇风速范围内,从低到高的各阶竖向模态随风速升高而逐个发生涡振,这就是大跨度悬索桥的多阶模态涡振问题。针对这一问题开展深入研究,讨论中国公路桥梁抗风设计规范中竖向涡振容许振幅的合理性;阐述了利用节段模型风洞试验和理论分析综合预测实桥多阶模态竖向涡振响应的基本方法,得到了各模态阻尼比相等时悬索桥各阶模态竖向涡振振幅基本相等的结论,并通过特殊设计的悬索桥竖向等效气弹模型和塔科马桥涡振实测资料,验证了这一结论;指出在既有桥梁上追加气动措施或安装调谐质量减振器抑制悬索桥多阶模态涡振都有很大的难度,进而提出了在加劲梁与桥塔之间安装直接耗能阻尼器的设想,并进行了气弹模型试验验证;讨论了采用电涡流阻尼器进行半主动涡振控制的可行性。研究结果表明：在相同阻尼比条件下大跨度悬索桥各阶竖弯模态的最大涡振振幅基本相等;依据最大加速度幅值按频率比的平方增加的原理,满足人体振动舒适性的高阶竖弯模态的容许振幅必然小于低阶模态,因此要更加重视起振风速在容许行车风速（25 m·s^-1）以内的高阶竖弯模态涡振;对于漂浮体系悬索桥,在加劲梁与对应桥塔之间设置阻尼器可有效抑制多阶模态涡振。     

Vertical random vibration analysis of vehicle–track coupled system using Green's function method

A vertical vehicle–track coupled dynamic model, consisting of a high-speed train on a continuously supported rail, is established in the frequency-domain. The solution is obtained efficiently by use of the Green's function method, which can determine the vibration response over a wide range of frequency without any limitations due to modal truncation. Moreover, real track irregularity spectra can be used conveniently as input. The effect of the flexibility of both track and car body on the entire vehicle–track coupled dynamic response is investigated. A multi-body model of a vehicle with either rigid or flexible car body is defined running on three kinds of track: a rigid rail, a track stiffness model and a Timoshenko beam model. The results show that neglecting the track flexibility leads to an overestimation of both the contact force and the whole vehicle vibration response. The car body flexibility affects the ride quality of the vehicle and the coupling through the track and can be significant in certain frequency ranges. Finally, the effect of railpad and ballast stiffness on the vehicle–track coupled vibration is analysed, indicating that the stiffness of the railpad has an influence on the system in a higher frequency range than the ballast.