The Dynamics of High-Speed Railway Bridges: A Review of Design Issues and New Research for Lateral Dynamics

The dynamic effects of high-speed trains on viaducts are important issues for the design of the structures, as well as for the consideration of safe running conditions for the trains. In this work we start by reviewing the relevance of some basic design aspects. The significance of impact factor envelopes for moving loads is considered first. Resonance which may be achieved for high-speed trains requires dynamic analysis, for which some key aspects are discussed. The relevance of performing a longitudinal distribution of axle loads, the number of modes taken in analysis, and the consideration of vehicle-structure interaction are discussed with representative examples. The lateral dynamic effects of running trains on bridges is of importance for laterally compliant viaducts, such as some very tall structures erected in new high-speed lines. The relevance of this study is mainly for the safety of the traffic, considering both internal actions such as the hunting motion as well as external actions such as wind or earthquakes [1]. These studies require three-dimensional dynamic coupled vehicle-bridge models, and consideration of wheel to rail contact, a phenomenon which is complex and costly to model in detail. We describe here a fully nonlinear coupled model, described in absolute coordinates and incorporated into a commercial finite element framework [2]. The wheel-rail contact has been considered using a FastSim algorithm which provides a compromise between accuracy and computational cost, and captures the main nonlinear response of the contact interface. Two applications are presented, firstly to a vehicle subject to a strong wind gust traversing a bridge, showing the relevance of the nonlinear wheel-rail contact model as well as the dynamic interaction between bridge and vehicle. The second application is to a real HS viaduct with a long continuous deck and tall piers and high lateral compliance [3]. The results show the safety of the traffic as well as the importance of considering features such as track alignment irregularities.

Efectos dinámicos laterales en vehículos y puentes ferroviarios sometidos a la acción de vientos transversales

En las últimas décadas el aumento de la velocidad y la disminución del peso de los vehículos ferroviarios de alta velocidad ha provocado que aumente su riesgo de vuelco. Además, las exigencias de los trazados de las líneas exige en ocasiones la construcción de viaductos muy altos situados en zonas expuestas a fuertes vientos. Esta combinación puede poner en peligro la seguridad de la circulación. En esta tesis doctoral se estudian los efectos dinámicos que aparecen en los vehículos ferroviarios cuando circulan sobre viaductos en presencia de vientos transversales. Para ello se han desarrollado e implementado una serie de modelos numéricos que permiten estudiar estos efectos de una forma realista y general. Los modelos desarrollados permiten analizar la interacción dinámica tridimensional tren-estructura, formulada mediante coordenadas absolutas en un sistema de referencia inercial, en un contexto de elementos _nitos no lineales. Mediante estos modelos se pueden estudiar de forma realista casos extremos como el vuelco o descarrilamiento de los vehículos. Han sido implementados en Abaqus, utilizando sus capacidades para resolver sistemas multi-cuerpo para el vehículo y elementos finitos para la estructura. La interacción entre el vehículo y la estructura se establece a través del contacto entre rueda y carril. Para ello, se han desarrollado una restricción, que permite establecer la relación cinemática entre el eje ferroviario y la vía, teniendo en cuenta los posibles defectos geométricos de la vía; y un modelo de contacto rueda-carril para establecer la interacción entre el vehículo y la estructura. Las principales características del modelo de contacto son: considera la geometría real de ambos cuerpos de forma tridimensional; permite resolver situaciones en las que el contacto entre rueda y carril se da en más de una zona a la vez; y permite utilizar distintas formulaciones para el cálculo de la tensión tangencial entre ambos cuerpos. Además, se ha desarrollado una metodología para determinar, a partir de formulaciones estocásticas, las historias temporales de cargas aerodinámicas debidas al viento turbulento en estructuras grandes y con pilas altas y flexibles. Esta metodología tiene cuenta la variabilidad espacial de la velocidad de viento, considerando la correlación entre los distintos puntos; considera las componentes de la velocidad del viento en tres dimensiones; y permite el cálculo de la velocidad de viento incidente sobre los vehículos que atraviesan la estructura. La metodología desarrollada en este trabajo ha sido implementada, validada y se ha aplicado a un caso concreto en el que se ha estudiado la respuesta de un tren de alta velocidad, similar al Siemens Velaro, circulando sobre el viaducto del río Ulla en presencia viento cruzado. En este estudio se ha analizado la seguridad y el confort de la circulación y la respuesta dinámica de la estructura cuando el tren cruza el viaducto. During the last decades the increase of the speed and the reduction of the weight of high-speed railway vehicles has led to a rise of the overturn risk. In addition, the design requests of the railway lines require some times the construction of very tall viaducts in strong wind areas. This combination may endanger the traffic safety. In this doctoral thesis the dynamic effects that appear in the railway vehicles when crossing viaducts under strong winds are studied. For this purpose it has been developed and implemented numerical models for studying these effects in a realistic and general way. The developed models allow to analyze the train-structure three-dimensional dynamic interaction, that is formulated by using absolute coordinates in an inertial reference frame within a non-linear finite element framework. By means of these models it is possible to study in a realistic way extreme situations such vehicle overturn or derailment. They have been implemented for Abaqus, by using its capabilities for solving multi-body systems for the vehicle and finite elements for the structure. The interaction between the vehicle and the structure is established through the wheel-rail contact. For this purpose, a constraint has been developed. It allows to establish the kinematic relationship between the railway wheelset and the track, taking into account the track irregularities. In addition, a wheel-rail contact model for establishing the interaction of the vehicle and the structure has been developed. The main features of the contact model are: it considers the real geometry During the last decades the increase of the speed and the reduction of the weight of high-peed railway vehicles has led to a rise of the overturn risk. In addition, the design requests of the railway lines require some times the construction of very tall viaducts in strong wind areas. This combination may endanger the traffic safety. In this doctoral thesis the dynamic effects that appear in the railway vehicles when crossing viaducts under strong winds are studied. For this purpose it has been developed and implemented numerical models for studying these effects in a realistic and general way. The developed models allow to analyze the train-structure three-dimensional dynamic interaction, that is formulated by using absolute coordinates in an inertial reference frame within a non-linear finite element framework. By means of these models it is possible to study in a realistic way extreme situations such vehicle overturn or derailment. They have been implemented for Abaqus, by using its capabilities for solving multi-body systems for the vehicle and finite elements for the structure. The interaction between the vehicle and the structure is established through the wheel-rail contact. For this purpose, a constraint has been developed. It allows to establish the kinematic relationship between the railway wheelset and the track, taking into account the track irregularities. In addition, a wheel-rail contact model for establishing the interaction of the vehicle and the structure has been developed. The main features of the contact model are: it considers the real geometry

Analysis of lateral dynamics of railway vehicles on viaducts with coupled models

The study of lateral dynamics of running trains on bridges is of importance mainly for the safety of the traffic, and may be relevant for laterally compliant bridges. These studies require 3D coupled vehicle-bridge models, and consideration of wheel to rail contact, a phenomenon which is complex and costly to model in detail. We describe here a fully nonlinear coupled model, described in absolute coordinates and incorporated into a commercial finite element framework. Two applications are presented, firstly to a vehicle subject to a strong wind gust traversing a br idge, showing the relevance of the nonlinear wheel-rail contact model as well as the interaction between bridge and vehicle. The second application is to a real viaduct in a high-speed line, with a long continuous deck and tall piers with high lateral compliance. The results show the safety of the traffic as well as the relevance of considering the wind action and the nonlinear response.

Nonlinear models for lateral dynamics of railway vehicles on bridges subject to wind action

The study of lateral dynamics of running trains on bridges is of importance mainly for the safety of the traffic, and may be relevant for laterally compliant bridges. These studies require threedimensional coupled vehicle-bridge models, wheree consideration of wheel to rail contact is a key aspect. Furthermore, an adequate evaluation of safety of rail traffic requires nonlinear models. A nonlinear coupled model is proposed here for vehicle-structure vertical and lateral dynamics. Vehicles are considered as fully three-dimensional multibody systems including gyroscopic terms and large rotation effects. The bridge structure is modeled by means of finite elements which may be of beam, shell or continuum type and may include geometric or material nonlinearities. The track geometry includes distributed track alignment irregularities. Both subsystems (bridge and vehicles) are described with coordinates in absolute reference frames, as opposed to alternative approaches which describe the multibody system with coordinates relative to the base bridge motion. The wheelrail contact employed is a semi-Hertzian model based on realistic wheel-rail profiles. It allows a detailed geometrical description of the contact patch under each wheel including multiple-point contact, flange contact and uplift. Normal and tangential stresses in each contact are integrated at each time-step to obtain the resultant contact forces. The models have been implemented within an existing finite element analysis software with multibody capabilities, Abaqus (Simulia Ltd., 2010). Further details of the model are presented in Antolín et al. (2012). Representative applications are presented for railway vehicles under lateral wind action on laterally compliant viaducts, showing the relevance of the nonlinear wheel-rail contact model as well as the interaction between bridge and vehicle.

A neutron diffraction investigation of residual stresses in rail ends after severe deformation of rail surfaces

Insulated rail joints (IRJs) are a primary component of the rail track safety and signalling systems. Rails are supported by two fishplates which are fastened by bolts and nuts and, with the support of sleepers and track ballast, form an integrated assembly. IRJ failure can result from progressive defects, the propagation of which is influenced by residual stresses in the rail. Residual stresses change significantly during service due to the complex deformation and damage effects associated with wheel rolling, sliding and impact. IRJ failures can occur when metal flows over the insulated rail gap (typically 6-8 mm width), breaks the electrically isolated section of track and results in malfunction of the track signalling system. In this investigation, residual stress measurements were obtained from rail-ends which had undergone controlled amounts of surface plastic deformation using a full scale wheel-on-track simulation test rig. Results were compared with those obtained from similar investigations performed on rail ends associated with ex-service IRJs. Residual stresses were measured by neutron diffraction at the Australian Nuclear Science and Technology Organisation (ANSTO). Measurements with constant gauge volume 3x3x3 mm3 were carried in the central vertical plane on 5mm thick sliced rail samples cut by an electric discharge machine (EDM). Stress evolution at the rail ends was found to exhibit characteristics similar to those of the ex-service rails, with a compressive zone of 5mm deep that is counterbalanced by a tension zone beneath, extending to a depth of around 15mm. However, in contrast to the ex-service rails, the type of stress distribution in the test-rig deformed samples was apparently different due to the localization of load under the particular test conditions. In the latter, in contrast with clear stress evolution, there was no obvious evolution of d0. Since d0 reflects rather long-term accumulation of crystal lattice damage and microstructural changes due to service load, the loading history of the test rig samples has not reached the same level as the ex-service rails. It is concluded that the wheel-on-rail simulation rig provides the potential capability for testing the wheel-rail rolling contact conditions in rails, rail ends and insulated rail joints.

Prediction of the growth of wear-type rail corrugation

The growth behaviour of the vibrational wear phenomenon known as rail corrugation is investigated analytically and numerically using mathematical models. A simplified feedback model for wear-type rail corrugation that includes a wheel pass time delay is developed with an aim to analytically distil the most critical interaction occurring between the wheel/rail structural dynamics, rolling contact mechanics and rail wear. To this end, a stability analysis on the complete system is performed to determine the growth of wear-type rail corrugations over multiple wheelset passages. This analysis indicates that although the dynamical behaviour of the system is stable for each wheel passage, over multiple wheelset passages, the growth of wear-type corrugations is shown to be the result of instability due to feedback interaction between the three primary components of the model. The corrugations are shown analytically to grow for all realistic railway parameters. From this analysis an analytical expression for the exponential growth rate of corrugations in terms of known parameters is developed. This convenient expression is used to perform a sensitivity analysis to identify critical parameters that most affect corrugation growth. The analytical predictions are shown to compare well with results from a benchmarked time-domain finite element model. (C) 2004 Elsevier B.V. All rights reserved.

Advanced numerical study of impact forces on railway sleepers under wheel flat

Wheel-rail interaction is one of the most important research topics in railway engineering. It includes track vibration, track impact response and safety of the track. Track structure failures caused by impact forces can lead to significant economic loss for track owners through damage to rails and to the sleepers beneath. The wheel-rail impact forces occur because of imperfections on the wheels or rails such as wheel flats, irregular wheel profile, rail corrugation and differences in the height of rails connected at a welded joint. In this paper, a finite element model for the wheel flat study is developed by use of the FEA software package ANSYS. The effect of the wheel flat to impact force on sleepers is investigated. It has found that the wheel flat significantly increases impact forces and maximum Von Mises stress, and also delays the peak position of dynamic variation for impact forces on both rail and sleeper.

Experimental investigation into the failure behaviour of insulated rail joints

Ratchetting failure of railhead material adjacent to endpost which is placed in the air gap between the two rail ends at insulated rail joints causes significant economic problems to the railway operators who rely on the proper functioning of these joints for train control using the signalling track circuitry. The ratchetting failure is a localised problem and is very difficult to predict even when complex analytical methods are employed. This paper presents a novel experimental technique that enables measurement of the progressive ratchetting. A special purpose test rig was developed for this purpose and commissioned by the Centre for Railway Engineering at Central Queensland University. The rig also provides the capability of testing of the wheel/rail rolling contract conditions. The results provide confidence that accurate measurement of the localised failure of railhead material can be achieved using the test rig.

Numerical study of impact forces on railway sleepers under wheel flat

Wheel-rail interaction is one of the most important research topics in railway engineering. It includes track vibration, track impact response and safety of the track. Track structure failures caused by impact forces can lead to significant economic loss for track owners through damage to rails and to the sleepers beneath. The wheel-rail impact forces occur because of imperfections on the wheels or rails such as wheel flats, irregular wheel profile, rail corrugation and differences in the height of rails connected at a welded joint. The vehicle speed and static wheel load are important factors of the track design, because they are related to the impact forces under wheel-rail defects. In this paper, a 3-Dimensional finite element model for the study of wheel flat impact is developed by use of the FEA software package ANSYS. The effects of the wheel flat to impact force on sleepers with various speeds and static wheel loads under a critical wheel flat size are investigated. It has found that both wheel-rail impact force and impact force on sleeper induced by wheel flat are varying nonlinearly by increasing the vehicle speed; both impact forces are nonlinearly and monotonically increasing by increasing the static wheel load. The relationships between both of impact forces induced by wheel flat and vehicles speed or static load are important to the track engineers to improve the design and maintenance methods in railway industry.

A non-linear dynamic analysis of heavy haul track line sleepers under wheel flat

Significant wheel-rail dynamic forces occur because of imperfections in the wheels and/or rail. One of the key responses to the transmission of these forces down through the track is impact force on the sleepers. Dynamic analysis of nonlinear systems is very complicated and does not lend itself easily to a classical solution of multiple equations. Trying to deduce the behaviour of track components from experimental data is very difficult because such data is hard to obtain and applies to only the particular conditions of the track being tested. The finite element method can be the best solution to this dilemma. This paper describes a finite element model using the software package ANSYS for various sized flat defects in the tread of a wheel rolling at a typical speed on heavy haul track. The paper explores the dynamic response of a prestressed concrete sleeper to these defects.

Hybrid genetic algorithm for elimination of severe stress concentration in railhead ends

This paper presents a computational method for eliminating severe stress concentration at the unsupported railhead ends in rail joints through innovative shape optimization of the contact zone, which is complex due to near field nonlinear contact. With a view to minimizing the computational efforts, hybrid genetic algorithm method coupled with parametric finite element has been developed and compared with the traditional genetic algorithm (GA). The shape of railhead top surface where the wheel contacts nonlinearly was optimized using the hybridized GA method. Comparative study of the optimal result and the search efficiency between the traditional and hybrid GA methods has shown that the hybridized GA provides the optimal shape in fewer computational cycles without losing accuracy. The method will be beneficial to solving complex engineering problems involving contact nonlinearity.

Research outcomes for improved management of insulated rail joints

Insulated Rail Joints (IRJs) are safety critical component of the automatic block signalling and broken rail detection systems. IRJs exhibit several failure modes due to complex interaction between the railhead ends and the wheel tread near the gap. These localised zones could not be monitored using automatic sensing devices and hence are resorted to visual inspection only, which is error prone and expensive. In Australia alone currently there are 50,000 IRJs across 80,000 km of rail track. The significance of the problem around the world could thus be realised as there exists one IRJ for each 1.6 km track length. IRJs exhibit extremely low and variable service life; further the track substructure underneath IRJs degrade faster. Thus presence of the IRJs incur significant costs to track maintenance. IRJ failures have also contributed to some train derailments and various traffic disruptions in rail lines. This paper reports a systematic research carried out over seven years on the mechanical behaviour of IRJs for practically relevant outcomes. The research has scientifically established that stiffening the track bed for reduction in impact force is an ill-conceived concept and the most effective method is to reduce the gap size. Further it is established that hardening the railhead ends through laser coating (or other) cannot adequately address the metal flow problem in the long run; modification of the railhead profile is the only appropriate technique to completely eliminate the problem. Part of these outcomes has been adopted by the rail infrastructure owners in Australia.

Rail fatigue and the role of impact forces

Fatigue of the steel in rails continues to be of major concern to heavy haul track owners despite careful selection and maintenance of rails. The persistence of fatigue is due in part to the erroneous assumption that the maximum loads on, and stresses in, the rails are predictable. Recent analysis of extensive wheel impact detector data from a number of heavy haul tracks has shown that the most damaging forces are in fact randomly distributed with time and location and can be much greater than generally expected. Large- scale Monte-Carlo simulations have been used to identify rail stresses caused by actual, measured distributions of wheel-rail forces on heavy haul tracks. The simulations show that fatigue failure of the rail foot can occur in situations which would be overlooked by traditional analyses. The most serious of these situations are those where track is accessed by multiple operators and in situations where there is a mix of heavy haul, general freight and/or passenger traffic. The least serious are those where the track is carrying single-operator-owned heavy haul unit trains. The paper shows how using the nominal maximum axle load of passing traffic, which is the key issue in traditional analyses, is insufficient and must be augmented with consideration of important operational factors. Ignoring such factors can be costly.

Models for Lateral Dynamic Interaction of High-Speed Trains and Bridges

In this work a methodology for analysing the lateral coupled behavior of large viaducts and high-speed trains is proposed. The finite element method is used for the structure, multibody techniques are applied for vehicles and the interaction between them is established introducing wheel-rail nonlinear contact forces. This methodology is applied for the analysis of the railway viaduct of the R´ıo Barbantino, which is a very long and tall bridge in the north-west spanish high-speed line.

Efectos dinámicos debidos al tráfico de ferrocarril sobre la infraestructura de vía y las estructuras

La vía tradicional sobre balasto sigue siendo una selección para las líneas de alta velocidad a pesar de los problemas técnicos y la prestación del funcionamiento. El problema de la vía sobre balasto es el proceso continuo del deterioro de éste debido a las cargas asociadas al tráfico ferroviario. En consecuencia es imprescindible un mantenimiento continuado para mantener un alineamiento adecuado de la vía. Por eso se surge la necesidad de comprender mejor el mecanismo involucrado en el deterioro de la vía y los factores claves que rigen su progresión a lo largo de ciclos de carga con el fin de reducir los costos del mantenimiento de la vía y mejorar el diseño de las nuevas vías. La presente tesis intenta por un lado desarrollar los modelos más adecuados y eficientes del vehículo y de la vía para los cálculos de los efectos dinámicos debido al tráfico de ferrocarril sobre la infraestructura de la vía sobre balasto, y por otro evaluar estos efectos dinámicos sobre el deterioro de la vía sobre balasto a largo plazo, empleando un adecuado modelo de predicción del deterioro de la misma. Se incluye en el trabajo una recopilación del estado del arte en lo referente a la dinámica de la vía, a la modelización del vehículo, de la vía y de la interacción entre ambos. También se hace un repaso al deterioro de la vía y los factores que influyen en su proceso. Para la primera línea de investigación de esta tesis, se han desarrollado los diferentes modelos del vehículo y de la vía y la modelización de la interacción entre ambos para los cálculos dinámicos en dos y tres dimensiones. En la interacción vehículo-vía, se ha empleado la formulación de contacto nodo-superficie para establecer la identificación de las superficies en contacto y el método de los multiplicadores de Lagrange para imponer las restricciones de contacto. El modelo de interacción se ha contrastado con los casos reportados en la literatura. Teniendo en cuenta el contacto no lineal entre rueda-carril y los perfiles de irregularidades distribuidas de la vía, se han evaluado y comparado los efectos dinámicos sobre el sistema vehículo-vía en la interacción de ambos, para distintas velocidades de circulación del vehículo, en los aspectos como la vibración del vehículo, fuerza de contacto, fuerza transmitida en los railpads, la vibración del carril. También se hace un estudio de la influencia de las propiedades de los componentes de la vía en la respuesta dinámica del sistema vehículo-vía. Se ha desarrollado el modelo del asiento de la vía que consiste en la implementación del modelo de acumulación de Bochum y del modelo de hipoplasticidad en la subrutina del usuario \UMAT" del programa ABAQUS. La implementación numérica ha sido comprobado al comparar los resultados de las simulaciones numéricas con los reportados en la literatura. Se ha evaluado la calidad geométrica de la vía sobre balasto de los tramos de estudio con datos reales de la auscultación proporcionados por ADIF (2012). Se ha propuesto una metodología de simulación, empleando el modelo de asiento, para reproducir el deterioro de la geometría de la vía. Se usan los perfiles de la nivelación longitudinal de la auscultación como perfiles de irregularidades iniciales de la vía en las simulaciones numéricas. También se evalúa la influencia de la velocidad de circulación sobre el deterioro de la vía. The traditional ballast track structures are still being used in high speed railways lines with success, however technical problems or performance features have led to ballast track solution in some cases. The considerable maintenance work is needed for ballasted tracks due to the track deterioration. Therefore it is very important to understand the mechanism of track deterioration and to predict the track settlement or track irregularity growth rate in order to reduce track maintenance costs and enable new track structures to be designed. This thesis attempts to develop the most adequate and efficient models for calculation of dynamic track load effects on railways track infrastructure, and to evaluate these dynamic effects on the track settlement, using a track settlement prediction model, which consists of the vehicle/track dynamic model previously selected and a track settlement law. A revision of the state of the knowledge regarding the track dynamics, the modelling of the vehicle, the track and the interaction between them is included. An overview related to the track deterioration and the factors influencing the track settlement is also done. For the first research of this thesis, the different models of vehicle, track and the modelling of the interaction between both have been developed. In the vehicle-track interaction, the node-surface contact formulation to establish the identification of the surfaces in contact and the Lagrange multipliers method to enforce contact constraint are used. The interaction model has been verified by contrast with some benchmarks reported in the literature. Considering the nonlinear contact between wheel-rail and the track irregularities, the dynamic effects on the vehicle-track system have been evaluated and compared, for different speeds of the vehicle, in aspects as vehicle vibration, contact force, force transmitted in railpads, rail vibration. A study of the influence of the properties of the track components on the the dynamic response of the vehicle-track system has been done. The track settlement model is developed that consist of the Bochum accumulation model and the hipoplasticity model in the user subroutine \UMAT" of the program ABAQUS. The numerical implementation has been verified by comparing the numerical results with those reported in the literature. The geometric quality of the ballast track has been evaluated with real data of auscultation provided by ADIF (2012). The simulation methodology has been proposed, using the settlement model for the ballast material, to reproduce the deterioration of the track geometry. The profiles of the longitudinal level of the auscultation is used as initial profiles of the track irregularities in the numerical simulation. The influence of the running speed on the track deterioration is also investigated.