Durant les cinquante dernières années le développement technologique du train et des infrastructures ferroviaires ainsi que la rapide augmentation des vitesses en ligne ont provoqué une forte augmentation du besoin d'outils numériques pour la conception des infrastructures et des véhicules. Les principaux objectifs de mes travaux de recherche sont de deux ordres : d'une part contribuer à faire progresser les méthodes numériques en développant un outil rapide et simple, capable de simuler les principaux comportements physiques et d'autre par étudier, comprendre et décrire deux phénomènes particuliers: la vitesse critique et le tassement du ballast. La thèse est composée de deux parties. Dans la première partie on montre le modèle numérique adopté pour simuler le système véhicule/infrastructure. Les innovations fondamentales introduites dans cette partie de la thèse résident dans le modèle de liaison entre les attaches et le rail, et dans le nouvel algorithme proposé pour résoudre la non linéarité du problème. En effet, afin de rendre plus rapide la résolution, la méthode du point fixe a été couplée avec la méthode de Newton Raphson. La deuxième partie de la thèse est consacrée à la présentation des résultats numériques obtenus. Enfin, les résultats des simulations ont été utilisés pour la compréhension et la description de l'origine de la vitesse critique et des effets du train sur le tassement du ballast. La vitesse critique peut être définie comme une certaine valeur de vitesse qui provoque un fort incrément des vibrations et des déplacements verticaux et latéraux de l'infrastructure. Ce phénomène a été étudié par plusieurs équipes et a été attribué à un effet de résonance comparable au phénomène aérodynamique du mur du son: «Mach effect». Le train produit des vagues de déformation sur l'infrastructure; la vitesse de ces vagues, nommée «vitesse de Rayleigh», dépend principalement des caractéristiques du ballast et du sol. En effet même si l'effet «Mach» est physiquement plausible pour ces conditions, les trains n'atteignent pas, pour le moment, ces vitesses. Néanmoins des résultats expérimentaux ont permis l'observation du phénomène de la vitesse critique pour des trains roulant à la vitesse de 135 km/h (nombre Mach proche à 0.4). Donc, pour le moment, il n'y a ni estimation exacte ni explication physique de la vitesse critique dans l'intervalle inférieur à la vitesse de Rayleigh. Dans cette thèse une nouvelle explication a été proposée. La masse du train et les suspensions ont une influence non négligeable qui modifie la réponse du système véhicule/infrastructure en termes de modes de vibration. Pour cette raison, il est nécessaire de lier les fréquences d'excitation, et donc la vitesse du train, avec les modes de vibration du système couplé. Des comparaisons entre les analyses modales du système couplé et la déflexion de la traverse en fonction de la vitesse du train ont été menées. Lorsque la vitesse du train, qui excite le système suite aux passage des traverses, rejoint la valeur critique, un phénomène de résonance s'observe. La deuxième étude développée concerne les coûts des entretiens liés au tassement du ballast. Le but est de trouver une fonction de coûts liés aux caractéristiques et aux variables du véhicule, et de proposer une nouvelle méthode pour calculer la partie du péage ferroviaire lié au tassement du ballast (50 % environ du coût total). En calculant la déflection du ballast grâce au modèle présenté dans cette thèse, il est possible d'évaluer l'effet de chaque véhicule sur le tassement. Une fois calculé le coût total d'un certain type de ligne, lié à une certain seuil d'intervention (somme des intervention des bourrages plus la substitution total du ballast), il est possible d'évaluer le coût de chaque passage de train et de le lier à toutes le variables du modèle. / A numerical model to predict train induced vibrations is presented. The dynamic computation considers mutual interactions in vehicle/track coupled system by means of a finite and discrete elements method. The vehicle is modeled by 7 bi-dimensional rigid elements representing: the body, the two boogies and the four wheels. The railway is discretized as finite Timoshenko beam elements. Axial deformation is assumed insignificant. The substructure is made-up of: rail-pads, sleepers, ballast, and background. Rail-pads are modeled as spring/damper couples without mass and sleepers are modeled as rigid elements. The rail-sleeper contact is assumed extended to a connection-area, rather than a single point assumption. To model this area many spring/damper couples are disposed along the length of sleepers. The ballast is modeled as blocks of mass made-up of rigid elements, connected to sleeper by spring/damper couples. To allow the transmission of vibrations in longitudinal direction too, spring/damper couples connect ballast elements horizontally.The dynamic interaction between the wheel-sets and the rail is accomplished by using the non-linear Hertzian model with hysteresis damping. The rail defects and the case of out-of-round wheels are considered too.A modal analysis of supporting structure is done to validate the substructure model comparing it to experimental data.Comparisons between numerical results of our model, experimental data and numerical results of others literature models are done on contact-force, rail accelerations and sleepers accelerations to validate the coupled vehicle/track system.Moreover a modal analysis of the coupled vehicle/track system is done to analyze the relationship between resonance frequencies, train velocities and ballast displacements.A sensitivity analysis is done to evaluate the variables more affecting the maintenance costs. The parameters more conditioning the ballast maintenance costs are the ballast modulus and the train mass.The effects of train velocity on the ballast displacements are analyzed in relationship with substructure properties. A new formulation to evaluate the railway toll connected to ballast wear is introduced.A new interpretation of the critical velocity in the range 100-300 km/h is proposed.

Vibration Assisted Machining (VAM) refers to a non-conventional machining process where high-frequency micro-scale vibrations are deliberately superimposed on the motion of the cutting tool during the machining process. The periodic separation of the tool and workpiece material, as a result of the added vibrations, leads to numerous advantages such as reduced machining forces, reduction of damages to the material, extended tool life, and enabling the machining of brittle materials. Vibration Assisted Drilling (VAD) is the application of VAM in drilling processes. The added vibrations in the VAD process are usually generated by incorporating piezoelectric transducers in the structure of the toolholder. In order to increase the benefits of the added vibrations on the machining quality, the structural dynamics of the VAD toolholder and its coupling with the dynamics of the piezoelectric transducer must be optimized to maximize the portion of the electrical energy that is converted to mechanical vibrations at the cutting edge of the drilling tool. The overall dynamic performance of the VAD system depends of the dynamics of its individual components including the drill bit, concentrator, piezoelectric transducer, and back mass. In this thesis, a substructure coupling analysis platform is developed to study the structural dynamics of the VAD system when adjustments are made to its individual components. In addition, the stiffness and damping in the joints between the components of the VAD toolholder are modelled and their parameters are identified experimentally. The developed substructure coupling analysis method is used for structural modification of the VAD system after it is manufactured. The proposed structural modification approach can be used to fine-tune the dynamics of the VAD system to maximize its dynamic performance under various operational conditions. The accuracy of the presented substructure coupling method in modeling the dynamics of the VAD system and the effectiveness of the proposed structural modification method are verified using numerical and experimental case studies. / Graduate

In recent decades, railway transport infrastructures have been regaining their importance due to their efficiency and environmentally friendly technologies. This has led to increasing train speeds, higher axle loads and more frequent train usage. These improved service provisions have however brought new challenges to traditional railway track engineering, especially to track geotechnical dynamics. These challenges demanded for a better understanding of the track dynamics. Due to the large cost and available load conditions limitation, experimental investigation is not always the best choice for the dynamic effect study of railway track structure. Comparatively speaking, an accurate mathematical modeling and numerical solution of the dynamic interaction of the track structural components reveals distinct advantage for understanding the response behavior of the track structure. The purpose of this thesis is to study the influence of design parameters on dynamic response of the railway track structure by implementing Finite Element Method (FEM). According to the complexity, different railway track systems have been simulated, including: Beam on discrete support model, Discretely support track including ballast mass model and Rail on sleeper on continuum model. The rail and sleeper have been modeled by Euler-Bernoulli beam element. Spring and dashpot has been used for the simulation of railpads and the connection between the sleeper and ballast ground. Track components have been studied separately and comparisons have been made between different models. The finite element analysis is divided into three categories: eigenvalue analysis, dynamic analysis and general static analysis. The eigenfrequencies and corresponding vibration modes were extracted from all the models. The main part of the finite element modeling involves the steady-state dynamic analysis, in which receptance functions were obtained and used as the criterion for evaluating the dynamic properties of track components. Dynamic explicit analysis has been used for the simulation of a moving load, and the train speed effect has been studied. The displacement of the trackbed has been evaluated and compared to the measurement taken in Sweden in the static analysis.

Vibration assisted drilling (VAD) is a type of machining process in which high-frequency vibrations with a small amplitude are induced in the cutting tool to improve the cutting process of hard and brittle materials. These vibrations create an unsteady repetitive processing effect which eventually reduce the cutting forces. It is also crucial to measure these forces in some way because their knowledge directly aids in determining the best machining parameters. Direct and indirect methods can be used to measure these forces, but due to serious limitations of direct measurement methods, an indirect measurement method is required which is capable of online monitoring of high-frequency cutting forces. In this thesis, an indirect method is proposed to estimate thrust force and torque from the voltage signal generated by piezoelectric sensor and torsional deflection signal measured through piezoelectric accelerometer. The estimation of two input signals requires a multi-input multi-output (MIMO) model of VAD system which is developed using Receptance Coupling and Substructure Analysis (RCSA) method. Experimental and numerical methods are used to validate the constituent single-input single-output (SISO) transfer functions of the MIMO model. As the estimated forces are distorted by the dynamics of VAD structure, a Kalman Filter is employed to compensate the dynamics. The accuracy and similarity of results is determined by comparing the estimated cutting force values with the force measured from a load cell in time and frequency domain. The reported experimental results confirm the possibility of using Kalman Filter in estimating high-frequency forces generated in VAD process. / Graduate

Aero-engine assemblies are complex structures typically involving two or three nested rotors mounted within a flexible casing via squeeze-film damper (SFD) bearings. The deployment of SFDs into such structures is highly cost-effective but requires careful calculation since they can be highly nonlinear in their performance, particularly if they are unsupported (i.e. without a retainer spring). The direct study of whole-engine models with nonlinear bearings has been severely limited by the fact that current nonlinear computational techniques are not well-suited for complex large-order systems. The main contributions of this thesis are: • A procedure for unbalance response computation, suitable for generic whole-engine models with nonlinear bearings, which significantly extends the capability of current finite element packages. This comprises two novel nonlinear computational techniques: an implicit time domain integator referred to as the Impulsive Receptance Method (IRM) that enables rapid computation in the time domain; a whole-engine Receptance Harmonic Balance Method (RHBM) for rapid calculation of the periodic response in the frequency domain. Both methods use modal data calculated from a one-off analysis of the linear part of the engine at zero speed.• First-ever analyses on real twin-spool and three-spool engines. These studies illustrate the practical use of these solvers, provide an insight into the nonlinear dynamics of whole-engines and correlate with a limited amount of industrial experimental data. Both IRM and RHBM are directly formulated in terms of the relative response at the terminals of the nonlinear bearings. This makes them practically immune to the number of modes that need to be included, which runs into several hundreds for a typical engine. The two solvers are extensively tested on two/three-shaft engine models (with 5-6 SFDs) provided by a leading engine manufacturer using an SFD model that is used in industry. The tests show the IRM to be many times faster than an established robust conventional implicit integrator while achieving a similar level of accuracy. It is also shown to be more reliable than another popular implicit algorithm. The RHBM enables, for the first time, the frequency domain computation of the nonlinear response of whole-engine models. Its use is illustrated for both Single-Frequency Unbalance (SFU) excitation (unbalance confined to only one shaft) and Multi-Frequency Unbalance (MFU) excitation (unbalance located on two or more shafts, rotating at different speeds). Excellent correlation is demonstrated between RHBM and IRM.The parametric studies compare and contrast the frequency spectra for SFU and MFU cases. They also reveal the varying degree of lift at the unsupported SFDs. The sensitivity of the response to end-sealing and bearing housing alignment is also illustrated. It is demonstrated that the use of suitably preloaded vertically oriented “bump-springs” at the SFDs of heavy rotors produces a significant improvement in journal lift. It is also shown that the consideration of a slight amount of distributed damping in the structure significantly affects the predicted casing vibration levels, bringing them closer to measured levels, while having little effect on the SFD orbits.

No description available.

No description available.

The area of powertrain dynamics has received considerable attention over a number of years. The recent introduction of more stringent emission requirements together with economic pressure has led to a particular focus on increasing powertrain efficiency. This has seen the incorporation of on-board, real-time measurements to predict system behaviour and engine condition. In this domain, accurate models for all powertrain components are important. One strategy to improve accuracy is to evaluate the assumptions made when deriving each model and then to address the simplifications that may introduce large errors. To this end, the aim of the work presented in this dissertation was to investigate the consequences of some of the more common assumptions and simplifications made in low frequency torsional powertrain models, and to propose improved models where appropriate. In particular, the effects of piston-tocylinder friction, crank/gudgeon pin offset, and the torsional behaviour of tyres were studied. Frequency and time domain models were used to investigate system behaviour and model predictions were compared with measurements on a small single cylinder engine. All time domain engine and powertrain models also include a variable inertia function for each reciprocating mechanism. It was found that piston-to-cylinder friction can increase the apparent inertia variation of a single reciprocating engine mechanism. This has implications for the nonlinear behaviour of engines and the drivetrains they are connected to. The effect of crank/gudgeon pin offset also modified the nonlinear behaviour of the mechanism. Though, for typical (small) gudgeon offset values these effects are small. However, for large offset values, achievable practically with crank offset, the modification to the nonlinear behaviour should not be ignored. The low frequency torsional damping properties of a small pneumatic tyre were found to be more accurately represented as hysteretic rather than viscous. Time domain modelling was then used to extend the results to a multi-cylinder engine powertrain and was achieved using the Time Domain Receptance (TDR) method. Various powertrain component TDRs were developed using Laplacians. Powertrain simulations showed that piston-to-cylinder friction can provide additional excitation to the system.

In this thesis, the influence of soil-structure interaction (SSI) of end-frame bridges for high-speed railways was studied. Impedance functions, representing the SSI, was calculated and analyzed. The impedance functions were applied to end-frame bridge models which were analyzed for use in HSR. A new high-speed railway link is currently being planned in Sweden by the Swedish Transport Administration (Trafikverket). \textit{Ostl\"{a}nken} is planned to run between the cities of Stockholm and Link\"{o}ping with a maximum speed limit of 320km/h. As high-speed traffic induces high dynamic impact on bridges, dynamic analysis to ensure safety and passenger comfort is needed according to Eurocode. Thus, there is a demand of dynamically safe bridges that are also cost-effective. One cost-effective bridge is the soil integrated end-frame bridge, however, there are no design advice in Eurocode today on how to take SSI into consideration. The aim of the thesis has therefore been to investigate if the influence of SSI on end-frame bridges for HSR. This thesis was executed using the frequency domain approach to solve dynamic problems in finite element software. Furthermore, impedance functions have been obtained representing the SSI. Impedance functions take dynamic stiffness and dynamic damping into consideration where the damping consists of two parts: material damping and radiation damping due to energy dissipation in the form of elastic waves. To limit the model size, an absorbing region (AR) was used to mitigate waves originating from the source. The accuracy of impedance functions is dependent on several parameters and demands a great computational capacity to reach, mostly governed by the radiation condition. A parameter study of impedance functions was conducted, including parameters such as geometry, modulus of soil and detail levels. The impedance functions were then attached to bridge models on which trains modelled as moving point loads were applied. Envelopes of the acceleration and displacements have been presented and analyzed. Shear strain checks were made in order to verify the assumption of linear-elastic material behavior of the embankment. By using SSI in form of impedance functions attached to bridge models, numerical results show a great reduction of vibrations in models. The study suggests that a large end-frame, either long or high or both, may reduce acceleration as well as displacements. A stiffer embankment material may further reduce vibrations. Shear strain checks confirm that the assumption of linear-elastic soil behavior was true. / I det här exjobbet har påverkan av jord-struktur interaktion (soil-structure interaction - SSI) av ändskärmsbroar för höghastighetsbana blivit studerat. Impedansfunktioner som representerar SSI har beräknats och analyserats. Impdansfunktionerna har sedan applicerats på bromodeller och analyserats för höghastighetstrafik. Sveriges första höghastighetsbana håller just nu på att planeras av Trafikverket. Ostlänken kommer att bli den första delen och är planerad att gå från Stockholm till Linköping med en högsta hastighet av 320 km/h. Då höghastighetstrafik introducerar stor dynamisk på verkan på broar behövs dynamisk analys genomföras enligt Eurocode för att kunna säkerställa broarnas säkerhet och komfortkrav. Därför finns idag ett behov av dynamiskt säkra broar som också är kostnadseffektiva. En typ av kostnadseffektiv bro är den med jord integrerade ändskärmsbron. I dagens Eurocode finns dock inga konstruktionsråd vad gäller jord-struktur interaktion av ändskärmarna. Målet med detta examensarbete har därför varit att undersöka påverkan av SSI och besluta huruvida användandet av ändskärmsbron på höghastighetsbanor är legitimerat, eller om den ska undvikas. Det här examensarbetet har utgått från att lösa dynamiska problem i frekvensdomänen med hjälp av FEM. Impedansfunktioner som representerar jord-struktur interaktionen har tagits fram. Impedansfunktioner tar dels hänsyn till dynamisk styvhet och dels dynamisk dämpning. Den dynamiska dämpningen består av två delar; den första är materialdämpning och den andra är vågdämpning där energi dissiperar i vågform. För att begränsa FE modellens storlek har en absorbing region tillämpats för att absorbera vågorna vid randen. Impedansfunktionernas konvergens beror på flertalet parametrar och kräver en hög datakapacitet för att fås, mestadels beroende av radiatorvillkoret. En parameterstudie utfördes för att kunna analysera sensitiviteten hos impedansfunktionerna. Vidare applicerades dessa impedansfunktioner på skal- och balk-bromodeller på vilka HSLM laster påfördes. Skjuvtöjningskontroller gjordes för att verifiera att antagandet om linjärelastiskt materialbeteende var korrekt. Genom att ta hänsyn till SSI i form av impedansfunktioner tyder numeriska resultat på att vibrationer kan reduceras i hög grad. Envelopper visar att en stor ändskärm, antingen lång, hög eller bådadera, kan reducera accelerationer liksom förskjutningar. En styvare bank kan ytterligare reducera vibrationer.

A numerical model to predict train induced vibrations is presented. The dynamic computation considers mutual interactions in vehicle/track coupled system by means of a finite and discrete elements method. The vehicle is modeled by 7 bi-dimensional rigid elements representing: the body, the two boogies and the four wheels. The railway is discretized as finite Timoshenko beam elements. Axial deformation is assumed insignificant. The substructure is made-up of: rail-pads, sleepers, ballast, and background. Rail-pads are modeled as spring/damper couples without mass and sleepers are modeled as rigid elements. The rail-sleeper contact is assumed extended to a connection-area, rather than a single point assumption. To model this area many spring/damper couples are disposed along the length of sleepers. The ballast is modeled as blocks of mass made-up of rigid elements, connected to sleeper by spring/damper couples. To allow the transmission of vibrations in longitudinal direction too, spring/damper couples connect ballast elements horizontally.The dynamic interaction between the wheel-sets and the rail is accomplished by using the non-linear Hertzian model with hysteresis damping. The rail defects and the case of out-of-round wheels are considered too.A modal analysis of supporting structure is done to validate the substructure model comparing it to experimental data.Comparisons between numerical results of our model, experimental data and numerical results of others literature models are done on contact-force, rail accelerations and sleepers accelerations to validate the coupled vehicle/track system.Moreover a modal analysis of the coupled vehicle/track system is done to analyze the relationship between resonance frequencies, train velocities and ballast displacements.A sensitivity analysis is done to evaluate the variables more affecting the maintenance costs. The parameters more conditioning the ballast maintenance costs are the ballast modulus and the train mass.The effects of train velocity on the ballast displacements are analyzed in relationship with substructure properties. A new formulation to evaluate the railway toll connected to ballast wear is introduced.A new interpretation of the critical velocity in the range 100-300 km/h is proposed.