A study of railway bridge/vehicle interaction and evaluation of fatigue life

A new vehicle model and the partial bridge model were used to study the dynamic interaction between an open deck steel truss bridge and a moving freight train. The responses in terms of dynamic stresses in certain critical members in the bridge were generated to predict their fatigue lives by using a reliability-based methodology.     

铁路大跨度简支钢桁梁桥车-桥耦合振动研究

桥梁作为线路工程中不可或缺的重要枢纽,对列车通过桥梁时,桥梁和车辆之间相互作用的问题迫切需要做出解答,特别是针对铁路钢桁梁,并考虑大跨度简支特性的车-桥耦合振动问题研究更具有一定的理论与实际意义。以黄韩侯铁路新黄河特大桥156 m简支钢桁梁桥作为工程背景,建立车辆动力模型、桥梁有限元模型并考虑轮轨关系,以蛇形运动和轨道不平顺作为系统的自激激励源,利用大型有限元软件ANSYS以及UM(Universal Mechanism)动力学分析软件联合进行仿真分析,实现单个机车、编组客车和编组货车以设计时速通过桥梁时对大跨度简支钢桁梁桥车-桥耦合振动的研究。经过计算分析得出:大跨度钢桁梁桥的横向刚度相对较小;不同编组情况以设计时速通过桥梁时,车辆和桥梁的各项动力响应参数均在规范允许的范围之内;编组货车通过桥梁时,桥梁跨中横向、竖向加速度较之其他编组情况要大。     

重载货车作用下基床表层应力状态及破坏影响因素分析

重载货车作用下线路破坏问题与基床表层应力状态密切相关。通过建立货车-线路动力分析模型,分析货车通过时基床表层应力状态变化规律,研究道床厚度、轴重、速度、基床表层模量等因素对基床表层破坏的影响规律。结果表明:基床表层在车辆作用下遵循从纯剪到三轴剪切再回到纯剪状态的变化规律,主应力轴连续旋转180°;道床厚度低于0.5m、速度超过70km/h、基床表层模量低于160 MPa、轴重超过27t都有可能造成基床表层塑性变形;当应力路径超过破坏线情况下,路基弹性假设将不再适用。     

Diagnosis and prediction of vibration from railway trains

In the North West of France, more particularly in the region of the Somme Bay, where the ground is constituted mainly of peat, observation of the surface of the soil near railway tracks has revealed high levels of displacement. This paper, contains a prediction model and diagnosis of vibration near the track. A model of a railway track on layered ground subjected to a moving train has been built and the calculation method uses Fourier transform formalism for a semi-analytical solution in the wave number domain. It includes all elements of the track and allows a parametric analysis of its different elements and evaluation of vertical displacement according to the speed, weight and composition of each train. The diagnosis has been performed with in situ measurements and with the aim of the validation of the model. A parameter study of the ground undertaken by seismic measurements shows a critical speed close to 100 m/s while the studied trains are moving with sub-Rayleigh speeds. Measurements give us a lot of information about lateral and vertical acceleration on the soil's surface and parts of the track. For high speeds and freight trains, displacement reaches more than 10 mm.     

基于高铁震源简化桥墩模型激发地震波的数值模拟

高铁列车运行过程中绝大部分时间都是行驶在高架桥上的,高铁列车经过桥梁时,通过与大地耦合的桥墩激发地震波发震过程和平地不完全一样.本文探索高铁列车行驶经过高架桥桥墩,通过桥墩对地下介质激发地震波的机理及过程.为了便于理论分析,文中将高铁列车简化为在高架桥上沿一个方向运动的移动线源,通过每节车厢前后组轮对,对每一个桥墩施加力的作用,而桥墩插入地面几十米深至围岩,与表层土壤和深层围岩双重耦合,由此给出高铁列车通过桥墩激发地震波的震源时间函数.同时,基于广义连续介质力学框架下的修正偶应力理论,推导包含介质特征尺度的弹性波动方程,并应用此弹性波动方程以及构建的高铁震源时间函数,采用优化的交错网格有限差分算法,实现数值模拟,将合成的地震记录与实际地震记录对比分析,其结论将为进一步的基于高铁震源的成像和反演研究提供理论依据.     

基于高铁震源简化桥墩模型激发地震波的数值模拟

高铁列车运行过程中绝大部分时间都是行驶在高架桥上的,高铁列车经过桥梁时,通过与大地耦合的桥墩激发地震波发震过程和平地不完全一样.本文探索高铁列车行驶经过高架桥桥墩,通过桥墩对地下介质激发地震波的机理及过程.为了便于理论分析,文中将高铁列车简化为在高架桥上沿一个方向运动的移动线源,通过每节车厢前后组轮对,对每一个桥墩施加力的作用,而桥墩插入地面几十米深至围岩,与表层土壤和深层围岩双重耦合,由此给出高铁列车通过桥墩激发地震波的震源时间函数.同时,基于广义连续介质力学框架下的修正偶应力理论,推导包含介质特征尺度的弹性波动方程,并应用此弹性波动方程以及构建的高铁震源时间函数,采用优化的交错网格有限差分算法,实现数值模拟,将合成的地震记录与实际地震记录对比分析,其结论将为进一步的基于高铁震源的成像和反演研究提供理论依据.

     

香港青马大桥在交通荷载作用下的疲劳评估

在全桥三维有限元模型基础上 ,进行了车载响应分析 ,得到全桥的动力响应 ,并与实测结果进行了分析对比 ;对疲劳危险部位建立局部有限元模型 ,并进行了局部应力分析。在结构健康安全监测系统实测数据基础上 ,得到应变循环标准块 ,用基于热点应力疲劳评估方法对危险部位进行了疲劳寿命评估。     

多年冻土区青藏铁路列车荷载作用下路基振动响应研究

针对多年冻土区青藏铁路列车荷载振动作用下的动稳定性,通过对北麓河和二道沟三个典型铁路路基横断面振动响应的二分量加速度观测,对比分析客运列车和货运列车引起的路基振动特性和衰减规律,研究不同防护形式路基的列车振动响应。结果表明,路基上的振动作用主要集中在40～80Hz频率范围内;防护形式对路基的列车动力响应有明显影响,热棒加碎石路基动力响应最小,其次为碎石防护路基,未采取任何防护的路基铁轨上的动力响应最大,建议对未采取防护的路基进行防护。分析结论为青藏铁路列车作用下的路基动稳定性评估提供实测依据,对多年冻土区的路基稳定性研究提供参考。     

Running safety analysis of a train on the Tsing Ma Bridge under turbulent winds

The dynamic responses of the Tsing Ma suspension bridge and the running behaviors of trains on the bridge under turbulent wind actions are analyzed by a three-dimensional wind-train-bridge interaction model. This model consists of a spatial finite element bridge model, a train model composed of eight 4-axle identical coaches of 27 degrees-of-freedom, and a turbulent wind model. The fluctuating wind forces, including the buffeting forces and the self-excited forces, act on the bridge only, since the train runs inside the bridge deck. The dynamic responses of the bridge are calculated and some results are compared with data measured from Typhoon York. The runnability of the train passing through the Tsing Ma suspension bridge at different speeds is researched under turbulent winds with different wind velocities. Then, the threshold curve of wind velocity for ensuring the running safety of the train in the bridge deck is proposed, from which the allowable train speed at different wind velocities can be determined. The numerical results show that rail traffic on the Tsing Ma suspension bridge should be closed as the mean wind velocity reaches 30 m/s.     

关于高铁地震波场虚拟道集生成的理论分析

中国约80%的高铁运行于高架桥上, 高铁振动通过桥墩传入地面.本文对运行于等间隔桥墩的高架桥上高铁振动产生的地下地震波场形态进行了理论分析, 根据其在特定方向形成相干相位稳相点区域的特征, 设计了一种基于多个不同速度高铁列车振动记录叠加, 分离单桥墩激发虚拟地震波场的方法, 并对单层与多层介质的情形进行了理论验证.

     

Finite element analysis of structure-borne vibration from high-speed train

Finite element analyses were used to investigate the behavior of the building vibration induced by high-speed trains moving on bridges. The model includes the bridge, nearby building, soil and train. Finite element results indicate that trainload frequencies are more important than the natural frequencies of bridges and trains for building vibrations. If the building natural frequencies approach to the trainload frequencies, which equal an integer times the train speed over the compartment length, the resonance occurs and the building vibration will be large. Moreover, the vibration shape is similar to the mode shape of the resonance building frequency. To isolate the building vibration induced by moving trains, this paper investigates three common types of foundations, which include the extension of retaining walls, pile foundation and soil improvement around the building. Soil improvement around the building is the best way to reduce the building vibration both in horizontal and vertical directions.     

Dynamic interaction of bridge–train system under non‐uniform seismic ground motion

The probability that an earthquake occurs when a train is running over a bridge in earthquake‐prone regions is much higher than before, for high‐speed railway lines are rapidly developed to connect major cities worldwide. This paper presents a finite element method‐based framework for dynamic analysis of coupled bridge–train systems under non‐uniform seismic ground motion, in which rail–wheel interactions and possible separations between wheels and rails are taken into consideration. The governing equations of motion of the coupled bridge–train system are established in an absolute coordinate system. Without considering the decomposition of seismic responses into pseudo‐static and inertia‐dynamic components, the equations of motion of the coupled system are formed in terms of displacement seismic ground motions. The mode superposition method is applied to the bridge structure to make the problem manageable while the Newmark‐β method with an iterative computation scheme is used to find the best solution for the problem concerned. Eight high‐speed trains running over a multi‐span steel truss‐arch bridge subject to earthquakes are taken as a case study. The results from the case study demonstrate that the spatial variation of seismic ground motion affects dynamic responses of the bridge–train system. The ignorance of pseudo‐static component when using acceleration seismic ground motions as input may underestimate seismic responses of the bridge–train system. The probability of separation between wheels and rails becomes higher with increasing train speed. Copyright © 2011 John Wiley & Sons, Ltd.     

Dynamic analysis of train–bridge system subjected to non‐uniform seismic excitations

Based on the theory of dynamic wheel–rail interactions, a dynamic model of coupled train–bridge system subjected to earthquakes is established, in which the non‐uniform characteristics of the seismic wave input from different foundations are considered. The bridge model is based on the modal comprehension analysis technique. Each vehicle is modelled with 31 degrees of freedom. The seismic loads are imposed on the bridge by using the influence matrix and exerted on the vehicles through the dynamic wheel–rail interaction relationships. The normal wheel–rail interaction is tackled by using the Hertzian contact theory, and the tangent wheel–rail interaction by the Kalker linear theory and the Shen–Hedrick–Elkins theory. A computer code is developed. A case study is performed to a continuous bridge on the planned Beijing–Shanghai high‐speed railway in China. Through input of typical seismic waves with different propagation velocities to the train–bridge system, the histories of the train running through the bridge are simulated and the dynamic responses of the bridge and the vehicles are calculated. The influences of train speed and seismic wave propagation velocity on the dynamic responses of the bridge–vehicle system are studied. The critical train speeds are proposed for running safety on high‐speed railway bridges under earthquakes of various intensities. Copyright © 2006 John Wiley & Sons, Ltd.     

Field experiment of subgrade vibration induced by passing train in a seasonally frozen region of Daqing

The vibration characteristics and attenuation of the subgrade caused by passing trains in a seasonally frozen region of Daqing, China are investigated. Three field experiments were conducted during different times through the year, in normal, freezing and thawing periods, respectively, and the influence of the season, train speed and train type, is described in this paper. The results show that: (l) the vertical component is the greatest among the three components of the measured vibration near the rail track, and as the distance to the railway track increases, the dominant vibration depends on the season. (2) Compared with the vibration in the normal period, the vertical and longitudinal vibrations increase while the lateral vibration decreases in the freezing period. However, in the thawing period, the vertical and longitudinal vibrations decrease, and the lateral vibration increases. (3) As train speeds increase, the subgrade vibration increases. (4) The vibration induced by a freight train is greater than by a passenger train. These observations provide a better understanding of the vibration and dynamic stability of the subgrade and may be useful in developing criteria for railway and building construction in cold regions.     

Effect of train dynamics on seismic response of steel monorail bridges under moderate ground motion

This study is intended to investigate the seismic response of steel monorail bridges using three‐dimensional dynamic response analysis. We particularly consider monorail bridge–train interaction when subjected to ground motion that occurs with high probability. A monorail train car with two bogies with pneumatic tires for running, steering and stabilizing wheels is assumed to be represented sufficiently by a discrete rigid multi‐body system with 15 degrees of freedom (DOFs). Bridges are considered as an assemblage of beam elements with 6 DOFs at each node. Modal analysis is used for dynamic response analysis under moderate earthquakes. The seismic response of an advanced monorail bridge that adopts a simplified structural system and composite girders is investigated through comparison with seismic responses of a conventional bridge. The acceleration response of a monorail train is also calculated to investigate the effect of structural types of bridges on the train's dynamic response during earthquakes. Results show that the seismic responses of the advanced bridges are greater than those of the conventional monorail bridge because of the simplified structural system and increased girder weight that is attributable to composite girders of the advanced bridge. Moreover, the train on the advanced bridge shows greater dynamic response than that on the conventional bridge. Observations reveal that the dynamic monorail train system acts as a damper on the monorail bridge. That fact shows that the existing design, which considers a train as additional mass, yields a conservative result. Copyright © 2006 John Wiley & Sons, Ltd.     

沪宁城际铁路高架桥段CRH动车组运行引起的地面振动现场测试与分析

对沪宁城际铁路CRH动车组运行引起的高架桥段地面振动竖向速度和加速度进行了现场测试,分析了地面振动特征及其传播的衰减规律。结果表明：CRH动车组运行引起的地面振动主频在70Hz以下,属于低频振动;地面振动峰值速度和加速度随着离高架桥距离的增大而减小,20m以内地面振动衰减幅度较大;地面振动峰值随列车时速的提高而增大,车厢数量对地面振动峰值和主频成分的影响不明显;CRH动车组运行引起的地面振动对一般性建筑物影响不大,列车时速为300km左右时,地面振动速度超过办公室等公共建筑的允许值,列车时速为200km左右时,地面振动速度超过居民住宅的允许值;与其他高速铁路的地面振动实测值相比,沪宁城际铁路CRH动车组运行引起的高架桥段地面振动强度相对较低。     

Spatially coupled vibrations of a suspension bridge under random highway traffic

The problem of spatial dynamic response of a suspension bridge to the passage of trains of concentrated forces with random values is considered. The arrival of forces at the bridge is assumed to constitute a Poisson process of events. Such an excitation process is an appropriate model of vehicular traffic loads acting on the bridge. The bridge is idealized by a single-span thin-walled beam underslung to two cables. The response of the bridge in the space-time domain is described by a coupled system of non-linear, integro-differential equations. The dynamic influence functions of vertical and horizontal deflections at each cross-section point are obtained for the linear case. Cumulants and probability density functions of response are determined. Numerical methods have been used to develop a computer-oriented algorithm aimed at the numerical solution of the problem. As examples, numerical results for a particular bridge with some practical load cases are presented and illustrated by graphs.     

Running safety assessment of trains moving over bridges subjected to moderate earthquakes

A study about the running safety of trains moving over bridges subjected to earthquakes is presented. The study focuses on moderate earthquakes with relatively small return periods and high probability of occurrence. The analyses are performed using a nonlinear train‐bridge interaction method proposed by the authors, being the running safety evaluated with safety criteria existent in the literature. The influence on the train running safety of the seismic intensity levels, train running speed, and track quality is evaluated. Because no significant nonlinearity is likely to be exhibited in the columns for moderate levels of seismicity, the analyses are performed in the elastic domain. However, the reduction in the columns stiffness due to cracking is accounted, and a methodology to compute their effective stiffness is proposed. Copyright © 2015 John Wiley & Sons, Ltd.     

寒冷地区无粘结预应力混凝土梁的抗弯与疲劳强度研究

针对我国行业标准《无粘结预应力混凝土结构技术规程》(以下简称《规程》)中,对无粘结预应力筋的极限应力设计取值规定的不足,根据大量的试验数据,推导出了适用于桥梁工程的无粘结预应力混凝土上部结构多种截面形式的无粘结筋极限应力增量实用简化计算方法。同时根据试验结果得出无粘结预应力混凝土受弯构件在反复荷载作用下的性能是可靠的结论。