Subway Embedded Track Geometric Irregularity Safety Limits

A coupling dynamic model of a subway train and an embedded track is established to study the safety limits of track irregularities.The simulated vehicle system was a 74-degrees of freedom multi-rigid body model,and the rail was a Timoshenko beam.The slab was a three-dimensional solid finite element model.The sensitive wavelength irregularity was first studied,and then the safety limit of the sensitive wavelength was analyzed.The wheel-rail lateral force exhibited a substantial effect on the track alignment and gauge irregularity safety limit.The wheel-rail vertical force and the rate of wheel load reduction significantly affected the height and cross-level irregularity safety limit.The results demonstrate that the safety limits of the alignment,gauge,height,and cross-level embedded track geometric irregularity are 5.3 mm,[−10.5,8]mm,5.6 mm,and 6 mm,respectively.

Railway subgrade thermal-hydro-mechanical behavior and track irregularity under the sunny-shady slopes effect in seasonal frozen regions

The sunny-shady slopes effect is a phenomenon that impacts the temperature distribution of high-speed railway subgrades,resulting in uneven frost heaving deformation on the subgrade surface,which in turn causes static irregularity in the slab track.Based on the hydraulics theory,a thermal-hydro-mechanical(THM)coupled model of frozen soil is established and verified.We explore the process and characteristics of the temperature field and deformation of soil during the freezing process of high-speed railway subgrades and analyze the track irregularity variation law of China Railway Track SystemⅢslab tracks under uneven frost heaving deformation.The results show that,because the left and right slopes of high-speed railway subgrade are exposed to different amounts of solar radiation,which is the key factor causing uneven frost heaving of subgrade.Different strike angles cause changes in temperature of the subgrade’s upper part and the frost heaving amount on the surface,leading to differences in the deformation of the slab track structure:Increased strike angle weakens the rail level irregularity of the down line and marginally increases the rail level irregularity of the up line,and these become consistent in north-south directions.Therefore,when selecting railway lines in seasonal frozen areas,the west-east direction should be avoided to prevent the extremes in sunny-shady slopes effect on subgrades.

On the problem of the dynamical reactions of a rolling wheelset to real track irregularities

We investigate numerically the dynamical reactions of a moving wheelset model to real measured track irregularities.The background is to examine whether the dynamics are suitable as the input to the inverse problem:determine the true track geometry from measured wheelset dynamical reactions.It is known that the method works well for the vertical position of the rails but the computed lateral position is often flawed.We find that the lateral motion of the wheelset often may differ from the track geometry.The cases are investigated closely but the reasons remain unknown.While the wheelset dynamics reflect the larger(>4-6 mm)aperiodic track disturbances and single large disturbances quite well,this does not seem to be the case for general smaller or periodic track irregularities or sections behind single large disturbances.The resulting dynamics of a wheelset to lateral track irregularities are in general not sufficiently accurate to be used as the basis for a description of the track irregularities.

Robust Spectral Estimation of Track Irregularity

Because the existing spectral estimation methods for railway track irregularity analysis are very sensitive to outliers, a robust spectral estimation method is presented to process track irregularity signals. The proposed robust method is verified using 100 groups of clean/contaminated data reflecting he vertical profile irregularity taken from Bejing-Guangzhou railway with a sampling frequency of 33 data every ~10 m, and compared with the Auto Regressive (AR) model. The experimental results show that the proposed robust estimation is resistible to noise and insensitive to outliers, and is superior to the AR model in terms of efficiency, stability and reliability.

Refined disturbance observer based prescribed performance fixed-time control of high-speed EMS trains with track irregularities

High-speed Electromagnetic Suspension(EMS)train is continuously impacted by the irregularity of the track,which worsens the levitation performance of the train.In this paper,a composite control scheme for the EMS is proposed to suppress track irregularities by integrating a Refined Disturbance Observer(RDO)and a Prescribed Performance Fixed-Time Controller(PPFTC).The RDO is designed to estimate precisely the track irregularities and lumped disturbances with uncertainties and exogenous disturbances in the suspension system,and reduce input chattering by applying to the disturbance compensation channel.PPFTC is designed to converge the suspension air gap error to equilibrium point with prescribed performance by completing error conversion,and solve the fast dynamic issue of EMS.And the boundary of overshoot and steady-state is limited in the ranged prescribed.A theoretical analysis is conducted on the stability of the proposed control method.Finally,the effectiveness and reasonability of the proposed composite anti-disturbance control scheme is verified by simulation results.

The effect of track alignment irregularity on wheel-rail contact geometry relationship in a turnout zone

The irregularity is a key factor affecting the wheel-rail contact geometry relationship. In this paper, we calculated the wheel-rail contact points at typical sections and obtained the longitudinal variation of the wheel-rail geometry relationship with the trace line method. The profile of the key rail sections was matched by cubic spline curve, and the shape interpolation was realized in non-controlling sections. The results show that the roll angles at each typical section increases gradually with the enlargement of track alignment irregularity. When the flange contact occurs, the roll angle increases dramatically. Proper track alignment irregularity towards the switch rail improves the structure irregularity of the turnout.

Study on the dynamic contact relationship between layers under temperature gradients in CRTSⅢ ballastless track

In areas with large temperature differences,the uneven distribution of temperatures in the CRTS III ballastless track slab due to daytime sunlight can cause warpage deformation,leading to periodic rail irregularities that increase the wheel-rail impact of high-speed vehicles and accelerate track structure damage.Therefore,it is necessary to study the dynamic contact relationship between the composite slab and the base plate during vehicle running.The results of the study show that:1)Under the influence of temperature gradients,the composite slab tends to deform elliptically.With a positive temperature gradient,the middle part of the track slab bulges upward,causing the slab to be supported by its four corners.Conversely,with a negative temperature gradient,the four corners of the track slab bulge upward,resulting in the slab being supported by its center.2)Temperature gradients can lead to separation between the composite slab and the base plate,reducing the contact area between layers.During vehicle running,the contact area between layers gradually increases,but the separation cannot be completely closed.3)The temperature gradient significantly affects the vertical displacement of the track.The vertical displacement in the middle of the slab increases with a positive temperature gradient.In contrast,the vertical displacement at the ends of the slab increases with a negative temperature gradient.4)The stress of self-compacting concrete at the side position significantly increases under a positive temperature gradient,with the vertical stress increasing by 2.7 times when the temperature gradient increases from 0 to 90℃·m^(-1).

Influence of Track Irregularity on Longitudinal Vibration of Wheelset and Correlation Performance

Longitudinal vibration of wheelset with respect to bogie frame often exists with a high acceleration magnitude and relative high frequency. First, a simplified model with a single wheelset moving at a constant speed on a tangential track with irregularity is used to investigate the longitudinal vibration dynamics. Computional results indicate that the longitudinal vibration frequency of the wheelset is most sensitive to the primary longitudinal stiffness and the mass of the wheelset. As to the locomotive model, the longitudinal vibration is concerned with cross-level irregularity and vertical profile irregularity. Meanwhile, a method to estimate the resonance speed is presented. Finally, a possible solution is brought forward to extend wheel-rail service life by eliminating longitudinal vibration of the wheelset. The solution is simply to arrang the primary vertical damper with a forward angle, so that its damping component can be applied to longimdinal direction.

Deep learning-based fault diagnostic network of high-speed train secondary suspension systems for immunity to track irregularities and wheel wear

Fault detection and isolation of high-speed train suspension systems is of critical importance to guarantee train running safety. Firstly, the existing methods concerning fault detection or isolation of train suspension systems are briefly reviewed and divided into two categories, i.e., model-based and data-driven approaches. The advantages and disadvantages of these two categories of approaches are briefly summarized. Secondly, a 1D convolution network-based fault diagnostic method for highspeed train suspension systems is designed. To improve the robustness of the method, a Gaussian white noise strategy(GWN-strategy) for immunity to track irregularities and an edge sample training strategy(EST-strategy) for immunity to wheel wear are proposed. The whole network is called GWN-EST-1 DCNN method. Thirdly, to show the performance of this method, a multibody dynamics simulation model of a high-speed train is built to generate the lateral acceleration of a bogie frame corresponding to different track irregularities, wheel profiles, and secondary suspension faults. The simulated signals are then inputted into the diagnostic network, and the results show the correctness and superiority of the GWN-EST-1DCNN method. Finally,the 1DCNN method is further validated using tracking data of a CRH3 train running on a high-speed railway line.

Influence of Random Track Irregularities on Dynamic Response of Bridge/Track Structure/High-Speed Train Systems

Random vertical track irregularities are one of essential vibration sources in bridge, track structure and high-speed train systems. The common model of such irregularities is a stationary and ergodic Gaussian process. The study presents the results of numerical dynamic analysis of advanced virtual models of composite BTT （bridge/ballasted track structure/high-speed train） systems. The analysis has been conducted for a series of types of single-span simply-supported railway composite （steel-concrete） bridges, with a symmetric platform, located on lines with ballasted track structure adapted for high-speed trains. The bridges are designed according to Polish bridge standards. A new methodology of numerical modeling and simulation of dynamic processes in BTT systems has been applied. The methodology takes into consideration viscoelastic suspensions of rail-vehicles, nonlinear Hertz wheel-rail contact stiffness and one-side wheel-rail contact, physically nonlinear elastic-damping properties of the track structure, random vertical track irregularities, approach slabs and other features. Computer algorithms of FE （finite element） modeling and simulation were programmed in Delphi. Both static and dynamic numerical investigations of the bridges forming the series of types have been carried out. It has been proved that in the case of common structural solutions of bridges and ballasted track structures, it is necessary to put certain limitations on operating speeds, macadam ballast and vertical track roughness.

Multivariate Analyses for Finding Significant Track Irregularities to Generate an Optimal Track Maintenance Schedule

We first discuss the relationship between the optimal track maintenance scheduling model and an efficient detection method for abnormal track irregularities given by the longitudinal level irregularity displacement (LLID). The results of applying the cluster analysis technique to the sampling data showed that maintenance operation is required for approximately 10% of the total lots, and these lots were further classified into three groups according to the degree of maintenance need. To analyze the background factors for detecting abnormal LLID lots, a principal component analysis was performed;the results showed that the first principal component represents LLIDs from the viewpoints of the rail structure, equipment, and operating conditions. Binomial and ordinal logit regression models (LRMs) were used to quantitatively investigate the determinants of abnormal LLIDs. Binomial LRM was used to characterize the abnormal LLIDs, whereas ordinal LRM was used to distinguish the degree of influence of factors that are considered to have a significant impact on LLIDs.

高速铁路主跨320 m钢-混部分斜拉桥无砟轨道适应性研究

南玉高铁六景郁江特大桥设计将钢-混部分斜拉桥结构引入时速350 km高速铁路领域,而300 m级以上大跨度桥上无砟轨道的竖向变形极易超限,影响列车通过的安全性和舒适性,因此,系统研究在此大跨桥梁结构上铺设无砟轨道的适应性十分必要。通过建立有限元及动力学模型,分析不同组合工况下无砟轨道结构的变形特点及动力特性,运用60 m弦测法探究各工况下无砟轨道的线形变化规律,从而确定大跨度钢-混部分斜拉桥铺设无砟轨道的适应性,并对设计和施工提出合理化建议。主要结论如下:在各种不利组合荷载作用下,桥上无砟轨道结构强度满足规范要求,列车通过大桥的各项安全性与舒适性指标均满足规范要求;混凝土收缩徐变和斜拉索升降温是影响无砟轨道线形标准的两大主因,应在无砟轨道施工前确保足够的沉降观测期和收缩徐变释放期,并充分考虑拉索的保温设计;在温度组合荷载作用下,桥上无砟轨道的60 m弦测不平顺幅值为6.79 mm,满足高速铁路静态验收标准;但在叠加列车荷载和收缩徐变后,变形弦测值均出现Ⅱ级及以上超限,通过合理设置预拱度后可有效改善轨道平顺性标准。

高速铁路0.01~1 m波段高低轨道不平顺特性分析

随着我国高速铁路发展规模的不断扩大及运营速度的不断提升,轨道短波不平顺引起的振动与噪声问题日益严重。深入研究高速铁路短波不平顺的时域、频域与时频域特征,对精准掌握高速铁路轨道短波平顺状态及其引起的车-轨系统振动、伤损等一系列问题具有重要的参考价值。以某高速铁路实测0.01~1 m波段轨面高低不平顺数据为研究对象,经过数据预处理剔除异常值并消除趋势项后,对实测不平顺数据进行时域分析,得到该高铁线路短波不平顺数据的统计与分布特性。采用平均周期图法计算该高铁线路轨道短波不平顺功率谱密度,应用非线性最小二乘拟合优化算法进行拟合,提出高速铁路轨道短波不平顺谱。从时频域角度对该段数据进行经验模态分解与希尔伯特变换,分析该高铁线路短波不平顺的希尔伯特谱与边际谱。研究结果表明:该高铁线路轨道短波不平顺数据各统计量幅值都较小,且近似服从正态分布;该高铁线路轨道短波不平顺功率谱密度存在与钢轨波磨有关的多个周期性成分,提出的高速铁路短波不平顺谱函数能够很好地对实测功率谱密度进行拟合,且拟合效果优于经典的SATO建议的短波谱与50 kg/m钢轨的短波谱;对该高铁线路轨道可能存在的短波病害进行识别与定位,时频域分析的方法可以较好地应用于高速铁路轨道平顺性的分析与日常的管理维护。

多源车载数据驱动的地铁轨道不平顺智能识别方法

针对轨道不平顺检测成本高与时效性低等不足,从车辆动态响应与轨道不平顺之间的相关性为切入点,提出一种多源车载数据驱动的轨道不平顺智能识别方法。首先,建立地铁车辆系统动力学模型,获取车辆振动与运动姿态响应数据;其次,通过相关性分析算法,选取强相关性数据,制作网络模型数据集;最后,建立卷积神经网络-长短期记忆网络(CNN-LSTM),通过粒子群算法优化(PSO)神经网络模型参数,建立PSO-CNN-LSTM模型,实现对轨道不平顺的识别拟合。研究结果表明:在车辆动态响应信号中,与横向信号与轨道不平顺之间的相关性相比,垂向信号的更强,同时,车体的运动姿态如车体点头角速度与不平顺有明显的相关性。所提出的PSO-CNN-LSTM模型轨道垂向与横向不平顺识别拟合度分别达0.92和0.76。与经典的全连接神经网络FCNN和支持向量机SVR相比,PSO-CNN-LSTM有更好的识别效果与时效性。

车辆-轨道系统动力极值预测及可靠度计算

为从车辆-轨道系统的动力极值预测及其可靠度计算角度分析车辆系统行车安全、衡量系统可靠程度,基于车辆-轨道耦合动力学及概率理论,提出一种车轨系统动力极值预测及可靠度评估方法。首先,基于轨道不平顺概率模型,采用轨道不平顺累计概率谱确定具有不同激振能量的随机不平顺序列;依据离散Parseval定理,建立轨道不平顺时域序列和功率谱间的对应关系;将轨道不平顺概率模型与车辆-轨道耦合动力学模型相结合,从随机动力计算中提取车辆-轨道的动力极值及可靠度信息;随后利用车辆-轨道耦合动力模型及二维插值算子,根据谱线能量关系实现动力极值预测;此外,基于此系统激励输入与响应输出间的概率等效性,导出了动力极值的可靠度计算式。以实测的轨道不平顺和车体加速度数据及4种类型不平顺在不同累计概率下的谱组合计算得出的轮轨横向力和钢轨垂向位移的计算结果为样本,与预测结果进行对比。研究结果表明:计算时程的分布趋势基本与实测时程一致,动力极值预测结果与实际的动力计算结果较为接近。由于轨道不平顺随机性的存在使得车辆-轨道系统的动力响应存在随机离散及方差特征,但通过轨道不平顺的幅频及能量特性预测车辆-轨道系统的动力极值的方法是较为可行的。

轨道不平顺条件下列车运行引起的饱和地基振动响应

为研究轨道不平顺条件下列车运行引起的饱和地基振动响应,进一步完善饱和地基的振动传播和衰减规律,将轨道不平顺引入饱和地基2.5D有限元,通过Fourier变换得到频域-波数域表达式,对比分析准静态荷载与不平顺条件下高铁列车运行对饱和地基加速度、位移和孔隙水压力的影响规律。研究结果表明:列车速度较低时,2种条件下列车引起的饱和地基振动相差不大,随着列车速度提高,轨道不平顺使饱和地基的加速度幅值和位移幅值显著增大,且在时程曲线规律上呈现更强的波动性;轨道不平顺对轨道中心加速度频谱影响较小,列车在低速和高速运行时,2种荷载的频谱规律均基本一致,主频分布也基本相同,轨道不平顺条件下仅各频段加速度大小略有增加;轨道不平顺会大幅增加高速列车运行引起的饱和地基孔隙水压力,且随着深度增加孔压迅速衰减。

基于特征聚类的轨道不平顺潜在病害辨识

研究目的:轨道不平顺潜在病害隐蔽性强,对其准确合理辨识是开展预防修策略下线路养护维修作业的前提。本文以轨检数据为基础,分别构造了以轨道质量指数(TQI)和轨道不平顺幅值为对象的潜在病害辨识指标。在此基础上,基于k-means++聚类算法和手肘法通过判定样本最佳聚类簇数实现潜在病害的识别及定位。依托某有砟铁路动检数据对所提轨道不平顺潜在病害辨识方法进行了验证。研究结论:(1)对于均值管理来说,在16 km连续轨道区段上2处区段单元潜在病害被准确识别,其历史最大TQI值分别约为5.5 mm、5.3 mm,且潜在病害定位结果与实际里程基本吻合;(2)对于峰值管理来说,在500 m连续轨道区段上2处局部不平顺潜在病害也被准确识别,其历史最大幅值约为3 mm、3.3 mm,潜在病害定位结果与实际里程基本吻合;(3)本研究成果可与大机捣固作业、人工精调作业相结合,为预防修策略下的潜在病害整治提供辅助参考。

考虑路基剪切效应的高速铁路有砟轨道-车辆系统移动元分析

为在现有三层离散支撑梁有砟轨道模型中考虑路基土体间的剪切效应,在Pasternak双参数地基模型基础上对剪切层进行离散处理,采用移动单元法建立了考虑路基土体剪切效应的有砟轨道-车辆耦合动力学模型,将移动单元法与MATLAB相结合,编制计算程序,通过MATLAB数值计算,研究路基剪切效应对车-轨耦合系统的影响,以及轨道不平顺和轨枕空吊对系统动力特性的影响规律。研究结果表明,考虑路基剪切效应时,钢轨、轨枕、道砟的位移响应均有不同程度的减小,并且抑制情况从钢轨到道砟相差逐渐增大,三者的加速度响应也均有较为明显的下降,其对加速度响应的抑制效果从道砟到轨枕依次减小,但钢轨的加速度减幅大于道砟,对轮轨接触力有一定影响,但影响不明显,减幅仅为0.85%;不平顺幅值和波长特性对系统的动力响应会产生显著影响,随着幅值增大和短波成分增加,系统动力响应加剧,其中2 m左右短波不平顺和90%百分位数谱对轮轨动力特性影响显著;列车经过空吊区域时,空吊及周围区域轨道结构动力响应会发生突变,导致系统动力响应超过限值。建立的基于移动单元法的有砟轨道-车辆耦合模型及相关分析可为高速铁路的振动分析提供参考依据。

轨道平顺性检测方法现状及发展综述

概述3种常见的轨道平顺性检测方法,从数据驱动与模型驱动2个方面对轨道平顺性车载检测方法的研究和发展进行详细评述,并分析其面临的主要挑战。数据驱动方法多应用于铁路系统健康状态检测,在轨道不平顺动态检测及轨下结构变形提取方面的研究正逐步展开。在模型驱动方法中,逆模型法目前主要用于获取轨道不平顺的频域特征;卡尔曼滤波类方法相比于惯性基准法具有融合多个传感器数据来提升轨道不平顺检测精度的优势。未来的研究应将物理模型和机制引入数据驱动的机器学习和深度学习模型中,在减少训练样本的情况下保证轨道平顺性的预测精度。多种传感器数据融合的动态检测,以及从动态不平顺中分离出不同成分,也是未来亟需发展的技术。

高速磁浮列车-轨道梁耦合系统轨道不平顺敏感波长研究

轨道不平顺是诱发车-桥系统耦合振动的主要激励源之一,探明系统耦合振动不平顺敏感波长,对线路管理具有重要参考价值。首先,建立了高速磁浮列车-轨道梁耦合系统空间模型,其中磁浮列车被模拟为具有537个自由度的多体动力学模型,轨道梁被模拟为空间有限元模型,两者之间通过基于比例-微分(proportional-differentiation, PD)控制理论的磁轨关系耦合。其次,以上海高速磁浮为研究背景,选用5车编组列车驶过20跨简支梁桥为计算条件,通过与实测结果对比,验证了模型的正确性。最后,考虑轨道谐波不平顺激励,探讨了不同方向的轨道不平顺组合、不同轨道不平顺幅值和不同车速对列车和桥梁动力响应敏感波长及列车运行平稳性的影响。结果表明:磁浮列车-桥系统横向振动和竖向振动耦合性很弱;在设计车速430 km/h下,车体竖向、侧滚和点头加速度敏感波长分别为140~180 m、60~100 m和120~160 m,车体横向和摇头加速度敏感波长大于200 m;当波长为80、105、115、140和160 m时,会分别引发车体侧滚、摇头、横向、点头和竖向方向的共振;车体和主梁的响应幅值与轨道不平顺幅值基本呈线性关系;当轨道不平顺幅值为1 mm时,在计算车速200、250、300、350、390和430 km/h工况下,车体侧滚加速度峰值随车速变化不大,其他4个自由度方向的加速度峰值随着车速的增大而减小,主梁竖向加速度幅值随车速的增大呈线性增大;从车体的横向和竖向Sperling指标可以看出,车体的Sperling指标均小于2.5,磁浮列车的运行平稳性良好。