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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
51

Pupil Tracking and Control of a Laser Based Power System for a Vision Restoring Retinal Implant

Mailhot, Nathaniel 17 January 2019 (has links)
For elderly Canadians, the prevalence of vision impairment caused by degenerative retinal pathologies, such as age-related macular degeneration and retinitis pigmentosa, is at an occurrence rate of 14 percent, and on the rise. It has been shown that visual function can be restored by electrically stimulating intact retinal tissue with an array of micro-electrodes with suitable signals. Commercial retinal implants carrying such a micro-electrode array achieve this, but to date must receive power and data over copper wire cable passing through a permanent surgical incision in the eye wall (sclera). This project is defined by a collaboration with iBIONICS, who are developing retinal implants for treatment of such conditions. iBIONICS has developed the Diamond Eye retinal implant, along with several technology sub-systems to form a comprehensive and viable medical solution. Notably, the Diamond Eye system can be powered wirelessly, with no need for a permanent surgical incision. The thesis work is focused on the formulation, simulation and hardware demonstration of a powering system, mounted on glasses frame, for a retinal implant. The system includes a Micro-Electro-Mechanical System (MEMS) mirror that directs a laser beam to the implant through the pupil opening. The work presented here is built on two main components: an iterative predictor-corrector algorithm (Kalman filter) that estimates pupil coordinates from measurements provided by an image-based eye tracking algorithm; and an misalignment compensation algorithm that maps eye pupil coordinates into mirror coordinates, and compensates for misalignment caused by rigid body motions of the glasses lens mirror and the MEMS mirror with respect to the eye. Pupil tracker and misalignment compensation control performance are illustrated through simulated scenarios. The project also involves the development of a hardware prototype that is used to test algorithms and related software.
52

[en] HIGH INTEREST RATES IN BRAZIL: A THEORETICAL APPROACH / [pt] JUROS ALTOS NO BRASIL: UMA ABORDAGEM TEÓRICA

RICARDO FIBE GAMBIRASIO 11 October 2006 (has links)
[pt] Esta dissertação visa propor e analisar, no contexto de modelos dinâmicos estocásticos de equilíbrio geral com rigidez de preços, possíveis explicações para o fato estilizado de que o juro no Brasil é excessivamente alto. As implicações de diferentes hipóteses aplicadas aos modelos serão analisadas através de funções de resposta a impulso (FRIs). Será analisada, quando possível, a evidência empírica disponível na literatura a favor ou contra cada hipótese, e as FRIs mostrarão o comportamento dinâmico da economia calibrada sob cada hipótese. São compatíveis com um juro real básico mais alto por um período prolongado as seguintes hipóteses: alta taxa subjetiva de desconto intertemporal, alta indexação de preços, baixa potência da política monetária, e diminuição da credibilidade do Banco Central frente o crescimento da dívida pública (um caso de dominância fiscal). / [en] This work proposes and analyses, in the context of dynamic stochastic general equilibrium models with price rigidities, possible explanations for the stylized fact that interest rates in Brazil are exceedingly high. The implications of different hypothesis applied to the model are analyzed through impulse response functions (IRFs). Whenever possible, empirical evidence available in the literature for or against each hypothesis is analyzed, and the IRFs show the dynamical behavior of the economy calibrated accordingly. The following are consistent with a higher basic interest rate for an extended period: high subjective intertemporal discount rate, high price indexation, low monetary policy power, and decreasing Central Bank s credibility caused by public debt growth (an example of fiscal dominance).
53

Stochastic harmonic emission model of aggregate residential customers

Blanco Castaneda, Ana Maria 10 July 2018 (has links) (PDF)
Harmonic propagation studies of public distribution networks require accurate models of aggregate residential customers (groups of customers) that simulate the harmonic emission of the multitude of household appliances in the network. Most of the present models were developed with the component-based approach, where models of individual household appliances are combined to build the model of multiple customers. This approach requires high amount of input data, like models of individual household appliances and detail information of customer behavior and device composition, which is usually not easy to acquire. However, with the increasing number of PQ-analyzers in the networks, the measurement-based approach is now more and more considered for the modeling of aggregate customers. The measurement-based approach uses measurements of the network in combination with top-down methodologies to obtain models of the aggregate customers. Compared to the component-based approach it has several advantages, like inherent consideration of the real operating changes of the individual household appliances, variation of customer behavior, effect of line impedances, cancellation and attenuation effects, etc. This thesis presents the development of a time-series stochastic model of the low-order harmonic emission of aggregate residential customers based on a top-down measurement-based approach. The model represents the daily variation of the harmonic magnitudes and phase angles. Besides, the model includes the representation of the harmonic unbalances, which is of great importance for the proper analysis of harmonic propagation in medium-voltage networks. The model is parametrized for German networks, but the methodology can be applied to find the models of other regions or countries.
54

MODELAGEM DINÂMICA DO USO E COBERTURA DA TERRA DA QUARTA COLÔNIA, RS / DYNAMIC MODELING OF LAND USE AND COVERAGE AT QUARTA COLÔNIA, RS

Ferrari, Renata 01 December 2008 (has links)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / The matter about the changes in land use and coverage patterns, connected to present time concerns on development sustainability and the adequate balance between social, economic and environmental questions involved in it, stimulate the research in the field of scenery simulation at several different regions of the world. In this context, the present research intends to simulate the land use and coverage evolution tendency at Quarta Colônia, RS, for the year 2018, from physical variables, analyzing the change on the land use and coverage in the period of 1988 to 2002 and 2008, spacing and quantifying them. To do so, the land use and coverage patterns were classified using images from the satellites LANDSAT 5 and LANDSAT 7 relative to the years 1988, 2002 and 2008, being the last two maps used for modeling. After performing the crossing of land use and coverage patterns (forest, field, agricultural soil and water) between each other, in a LEGAL analysis, we created maps containing the specific evolutionary changes of each class, including the individual tendencies from the simulation made for the year 2018. It was observe that there wasn t any big change. The maps of land use and coverage from 2002 and 2008 processed in the Dinamica EGO modeling platform enabled the definition of the Markov model global transition probabilities and, local transition probabilities were defined using the empiric probabilistic method weight of evidence, based on Bayes conditional probability theorem. The change probabilities to land use and coverage obtained allowed the formation of a cell automata model based on stochastic transition algorithm where the physical variables demonstrated to be collaborator in this process of land use and coverage changes over time. The simulation results were validated specially due to a knowledge of the statistical procedure, the fuzzy method, demonstrating satisfactory results of the simulation. / As questões de mudanças nos padrões de uso e cobertura da terra, ligadas às preocupações atuais da sustentabilidade do desenvolvimento e ao balanço adequado entre as questões sociais, econômicas e ambientais envolvidas, motivam pesquisas no campo da simulação de cenários em diversas regiões do mundo. Nesse contexto, a presente pesquisa pretende simular as tendências de evolução do uso e cobertura da terra da Quarta Colônia/RS, para o ano de 2018, a partir de variáveis físicas; analisando as mudanças nos padrões de uso e cobertura da terra de 1988 a 2002 e de 2002 a 2008, espacializando-as e quantificando-as. Para tanto, foram classificados os padrões de uso e cobertura da terra em imagens dos satélites LANDSAT 5 e LANDSAT 7, referentes aos anos de 1988, 2002 e 2008, sendo os dois últimos mapas utilizados para a modelagem. A partir do cruzamento dos padrões de uso e cobertura da terra (floresta, campo, solo agrícola e água) entre si, em análise LEGAL, foram gerados mapas contendo as informações das mudanças evolutivas específicas de cada classe, inclusive das tendências individuais da simulação gerada para 2018, observando-se que não houve grandes mudanças. Os mapas de uso e cobertura da terra de 2002 e 2008 no Dinamica EGO possibilitaram a definição das probabilidades globais de transição do modelo markoviano, e as probabilidades locais de transição foram definidas pelo método probabilístico empírico pesos de evidência, baseado no teorema da probabilidade condicional de Bayes. As probabilidades de mudança de uso e cobertura da terra obtida permitiram a constituição de um modelo de autômatos celulares, baseado em algoritmos de transição estocásticos, sendo que as variáveis físicas se mostraram ser colaboradoras desse processo de mudança de uso e cobertura da terra ao longo do tempo. Os resultados da simulação foram validados espacialmente em função de um embasamento do procedimento estatístico, baseado em lógica fuzzy, apresentando resultados satisfatórios da simulação.
55

MODELAGEM DINÂMICA PARA SIMULAÇÃO NO PROCESSO DE ARENIZAÇÃO E COBERTURA FLORESTAL NA CAMPANHA OCIDENTAL - RS / DYNAMIC MODELING SIMULATION IN SANDFICATION PROCESS AND FOREST COVER IN CAMPANHA OCIDENTAL - RS

Silva, Emanuel Araújo 05 March 2015 (has links)
The dynamic modeling process is a useful tool for the knowledge of land use and occupation, creating methodological guidelines associated to ambient, social and economical issues. This work aims to establish a model to simulate the dynamic in the sandfication process and forest cover at South-west of Rio Grande do Sul, named micro regions of Campanha Ocidental and, based on this technics, make a future scenery projection. An image mosaic of LANDSAT 5 satellite was used, which recovers the studied region in the years of 1985, 1996, 2011 and LANDSAT 8 in 2013 year. SPRING was used to data base elaboration and data processing of digital images. After the image classification, the LEGAL program was used to develop the cross thematic maps, which will be used on simulations for the future sceneries by modeling with Dinamica EGO software. The expected results for 2026 indicate that forest cover will increase from 14.22% in 2011 to 15,03% in the year 2026 the total area of the Campanha Ocidental, showing that the expansion of forest cover is in the process of stabilization, focusing the areas in east, high altitudes and around drainage rivers. In the sand, this projection will retracts from 0.37% in 2011 to 0.33% in 2026, its concentration will be in the northeast, high altitudes and around the Ibicuí river drainage. / A modelagem dinâmica é uma ferramenta útil para o conhecimento do uso e ocupação da terra, gerando diretrizes metodológicas associadas às questões ambientais, sociais e econômicas. Este trabalho teve por objetivo aplicar um modelo para simular a dinâmica no processo de arenização e cobertura florestal do Sudoeste do Rio Grande do Sul, denominada microrregião da Campanha Ocidental e, com base nessas técnicas, efetuar a projeção de cenários futuros. Foi utilizado um mosaico de imagens do satélite LANDSAT 5 sensor TM, que recobre a região de estudo nos anos de 1985, 1996 e 2011 e LANDSAT 8 sensor OLI no ano de 2013. Para elaboração da base de dados e processamento digital das imagens, utilizou-se o aplicativo SPRING. Após a classificação das imagens, foi realizado o cruzamento dos mapas temáticos com auxílio da programação LEGAL, e posteriormente, empregado a simulação dos cenários futuros por meio da modelagem com o aplicativo Dinamica EGO. Os resultados previstos para 2026 indicam que a cobertura florestal irá se expandir de 14,22% em 2011 para 15,03% no ano de 2026 da área total da Campanha Ocidental, demonstrando que o aumento da cobertura florestal encontra-se em processo de estabilização, concentrando-se suas áreas na parte leste, altitudes elevadas e nas bordas da rede de drenagem. Nos areais, a projeção demonstrou que sua área sofrerá retração de 0,37% em 2011 para 0,33% da área total da região em 2026, e sua concentração estará presente na parte leste, em altitudes elevadas e em torno da drenagem do rio Ibicui.
56

Stochastic Optimization Methods for Infrastructure Management with Incomplete Monitoring Data / 不完備モニタリング情報下における社会基盤マネジメントのための確率的最適化手法 / フカンビ モニタリング ジョウホウカ ニ オケル シャカイ キバン マネジメント ノ タメ ノ カクリツテキ サイテキカ シュホウ

Nam, Le Thanh 24 September 2009 (has links)
Kyoto University (京都大学) / 0048 / 新制・課程博士 / 博士(工学) / 甲第14919号 / 工博第3146号 / 新制||工||1472(附属図書館) / 27357 / UT51-2009-M833 / 京都大学大学院工学研究科都市社会工学専攻 / (主査)教授 小林 潔司, 教授 大津 宏康, 教授 河野 広隆 / 学位規則第4条第1項該当
57

Processus de contact avec ralentissements aléatoires : transition de phase et limites hydrodynamiques / Contact process with random slowdowns : phase transition and hydrodynamic limits

Kuoch, Kevin 28 November 2014 (has links)
Dans cette thèse, on étudie un système de particules en interaction qui généralise un processus de contact, évoluant en environnement aléatoire. Le processus de contact peut être interprété comme un modèle de propagation d'une population ou d'une infection. La motivation de ce modèle provient de la biologie évolutive et de l'écologie comportementale via la technique du mâle stérile, il s'agit de contrôler une population d'insectes en y introduisant des individus stérilisés de la même espèce: la progéniture d'une femelle et d'un individu stérile n'atteignant pas de maturité sexuelle, la population se voit réduite jusqu'à potentiellement s'éteindre. Pour comprendre ce phénomène, on construit un modèle stochastique spatial sur un réseau dans lequel la population suit un processus de contact dont le taux de croissance est ralenti en présence d'individus stériles, qui forment un environnement aléatoire dynamique. Une première partie de ce document explore la construction et les propriétés du processus sur le réseau Z^d. On obtient des conditions de monotonie afin d'étudier la survie ou la mort du processus. On exhibe l'existence et l'unicité d'une transition de phase en fonction du taux d'introduction des individus stériles. D'autre part, lorsque d=1 et cette fois en fixant l'environnement aléatoire initialement, on exhibe de nouvelles conditions de survie et de mort du processus qui permettent d'expliciter des bornes numériques pour la transition de phase. Une seconde partie concerne le comportement macroscopique du processus en étudiant sa limite hydrodynamique lorsque l'évolution microscopique est plus complexe. On ajoute aux naissances et aux morts des déplacements de particules. Dans un premier temps sur le tore de dimension d, on obtient à la limite un système d'équations de réaction-diffusion. Dans un second temps, on étudie le système en volume infini sur Z^d, et en volume fini, dans un cylindre dont le bord est en contact avec des réservoirs stochastiques de densités différentes. Ceci modélise des phénomènes migratoires avec l'extérieur du domaine que l'on superpose à l'évolution. À la limite on obtient un système d'équations de réaction-diffusion, auquel s'ajoutent des conditions de Dirichlet aux bords en présence de réservoirs. / In this thesis, we study an interacting particle system that generalizes a contact process, evolving in a random environment. The contact process can be interpreted as a spread of a population or an infection. The motivation of this model arises from behavioural ecology and evolutionary biology via the sterile insect technique ; its aim is to control a population by releasing sterile individuals of the same species: the progeny of a female and a sterile male does not reach sexual maturity, so that the population is reduced or potentially dies out. To understand this phenomenon, we construct a stochastic spatial model on a lattice in which the evolution of the population is governed by a contact process whose growth rate is slowed down in presence of sterile individuals, shaping a dynamic random environment. A first part of this document investigates the construction and the properties of the process on the lattice Z^d. One obtains monotonicity conditions in order to study the survival or the extinction of the process. We exhibit the existence and uniqueness of a phase transition with respect to the release rate. On the other hand, when d=1 and now fixing initially the random environment, we get further survival and extinction conditions which yield explicit numerical bounds on the phase transition. A second part concerns the macroscopic behaviour of the process by studying its hydrodynamic limit when the microscopic evolution is more intricate. We add movements of particles to births and deaths. First on the d-dimensional torus, we derive a system of reaction-diffusion equations as a limit. Then, we study the system in infinite volume in Z^d, and in a bounded cylinder whose boundaries are in contact with stochastic reservoirs at different densities. As a limit, we obtain a non-linear system, with additionally Dirichlet boundary conditions in bounded domain.
58

Stochastic harmonic emission model of aggregate residential customers

Blanco Castaneda, Ana Maria 25 August 2017 (has links)
Harmonic propagation studies of public distribution networks require accurate models of aggregate residential customers (groups of customers) that simulate the harmonic emission of the multitude of household appliances in the network. Most of the present models were developed with the component-based approach, where models of individual household appliances are combined to build the model of multiple customers. This approach requires high amount of input data, like models of individual household appliances and detail information of customer behavior and device composition, which is usually not easy to acquire. However, with the increasing number of PQ-analyzers in the networks, the measurement-based approach is now more and more considered for the modeling of aggregate customers. The measurement-based approach uses measurements of the network in combination with top-down methodologies to obtain models of the aggregate customers. Compared to the component-based approach it has several advantages, like inherent consideration of the real operating changes of the individual household appliances, variation of customer behavior, effect of line impedances, cancellation and attenuation effects, etc. This thesis presents the development of a time-series stochastic model of the low-order harmonic emission of aggregate residential customers based on a top-down measurement-based approach. The model represents the daily variation of the harmonic magnitudes and phase angles. Besides, the model includes the representation of the harmonic unbalances, which is of great importance for the proper analysis of harmonic propagation in medium-voltage networks. The model is parametrized for German networks, but the methodology can be applied to find the models of other regions or countries.
59

Analyse et amélioration des performances d’un système complexe par pilotage et par re-conception / Performance analysis and improvement of a complex system through control and re-design

Samet, Bacem 11 March 2019 (has links)
Les systèmes complexes à longue durée de service sont des systèmes de grande taille qui ont généralement un comportement stochastique. Dans cette thèse, nous étudions, particulièrement, un type de ces systèmes : le système de vélos en libre-service. Le principe de fonctionnement de ce service de transports est de disposer des vélos dans diverses stations de la ville. Les usagers viennent prendre des vélos pour effectuer un trajet et puis les déposent dans des stations quelconques.Comme la durée d’exploitation de ces systèmes est longue, de nouveaux besoins (par exemple l’attractivité de station) et une dégradation de performance peuvent survenir. Un outil d’aide à la décision est ainsi nécessaire pour analyser et améliorer la performance par des opérations de pilotage (p.ex. changement de la taille de flotte) ou de re-conception (p.ex. changement de la capacité d’une station). L’approche suivie, pour cette finalité, est la modélisation stochastique en utilisant un réseau de files d’attente possédant des files à capacités limitées et un mécanisme de blocage. La méthode de résolution du modèle proposé est définie dans les travaux de Kouvatsos (1994). Notre cas d’étude est un sous-réseau de 20 stations du système Vélib’ de Paris. L’analyse de la performance suite aux changements exogènes et aux opérations d’amélioration (pilotage et re-conception), nous a permis de déduire un ensemble de préconisations qui peuvent améliorer les performances du système. Comme la méthode de résolution de ce modèle possède une complexité importante, nous proposons une méthode d’agrégation des stations pour réduire la taille du problème en ayant des erreurs maîtrisables. Cette méthode est implémentée et évaluée pour un système particulier où tous les paramètres sont homogènes. Enfin, l’étude de cette méthode pour un système non-homogène et d’autres perspectives sont proposées pour étendre ces travaux de recherche. / Complex systems having a long period of service are large scale systems that typically have stochastic behavior. In this thesis, we study, in particular, one type of these systems: the Bike Sharing System. The operating principle of this transport service consists of a fleet of bikes disposed in various stations. The users come to take bicycles to use them for their trip and then bring them back in any stations.As these systems are supposed to operate for long periods, new requirements can overcome (eg. station attractiveness) and performance degradation may occur. A decision support tool is thus required to analyze and improve the performance by control operations (eg. fleet size change) or re-design (eg. changing the capacity of a station).The stochastic modeling approach is used through a network of queues with limited capacity queues and a blocking mechanism. The resolution method of the proposed model is defined in the research work of Kouvatsos (1994).The case study is a sub-network of 20 Vélib's stations in Paris. The performance analysis according to exogenous changes and improvement operations (control and re-design) allowed us to deduce recommendations that can improve the performance of the system.As the method of solving this model has a great complexity, we propose a method of aggregation of the stations to reduce the size of the problem by having controllable errors. This method is implemented and evaluated for a particular system where all the parameters are homogeneous. Finally, the study of this method for a non-homogeneous system and other perspectives are proposed to extend this research work.
60

Large scale numerical wave propagation in a randomly-fluctuating continuum model of ballasted railway tracks / Simulation numérique à large échelle de la propagation d’onde dans un modèle de continuum à fluctuations aléatoires de voies ferrées ballastées

De Abreu Corrêa, Lúcio 28 February 2019 (has links)
Une forte concurrence avec d'autres moyens de transport a poussé l’industrie ferroviaire à se réinventer et rechercher des performances toujours plus élevées. De nos jours, l’obtention de vitesses chaque fois plus élevées exige le développement de modèles numériques précis pour concevoir et prédire le comportement des voies ferrées sous les contraintes mécaniques imposées par le passage du convoi. Dans cette thèse, nous avons concentré l'étude sur la couche de ballast. Ce composant présente un comportement mécanique complexe, lié à la nature granulaire de ses composants, il peut être solide, liquide ou gazeux.Ce comportement dépend de l'état de contrainte et de l'historique de déformation du milieu.Deux classes de modèles numériques sont couramment utilisées pour prédire le comportement de ces systèmes : (1) les approches discrètes et (2) les approches continues. Pour ces premières, chaque grain du ballast est représenté par un corps rigide et interagit avec ses voisins parle biais de forces de contact non linéaires en utilisant, par exemple, la méthode de dynamique non régulière des contacts. En raison des limites de calcul, ce type de méthode ne peut résoudre que quelques mètres de longueur de ballast. Le couplage avec le sol sous la couche de ballast et avec les traverses reste également un problème non résolu dans la littérature. Pour les approches continues, le ballast est remplacé par un milieu continu homogénéisé, de façon à permettre l’utilisation de la méthode par éléments finis classique (EF). Cependant, ces modèles sont normalement utilisés avec des paramètres mécaniques homogènes, de sorte qu'ils ne représentent pas complètement l'hétérogénéité des déformations et des contraintes dans la couche de ballast.Nous étudions dans cette thèse une approche alternative, utilisant un modèle de continuum hétérogène stochastique, qui peut être résolu avec une méthode par éléments finis tout en conservant dans une large mesure l'hétérogénéité des champs de contrainte et de déformation.L'objectif de ce modèle continu est de représenter statistiquement l'hétérogénéité du champ de contraintes dans un modèle de milieu continu ainsi que dans un modèle granulaire discret. Pour ce faire, les propriétés mécaniques sont représentées à l'aide de champs aléatoires. La présente thèse est divisée en trois parties: (1) la construction du modèle et l'identification des paramètres du matériau continuum (densité marginale de premier ordre, moyenne, variance, modèle de corrélation) ;(2) la propagation des ondes dans une voie ferrée ballastée et (3) l’exploration préliminaire de deux ensembles de données expérimentales. La première partie définit le modèle du continuum à fluctuations aléatoires et identifie les paramètres de notre modèle de continuum sur de petits échantillons cylindriques de ballast discret. Des modèles continus équivalents aux échantillons discrets sont générés et résolus en utilisant la méthode EF, et le champ stochastique utilisé pour fournir les propriétés mécaniques. Un processus d'optimisation est utilisé pour trouver une variance normalisée pour le matériau hétérogène stochastique. La deuxième partie de ce travail se concentre sur la résolution des équations dynamiques sur un modèle à grande échelle d'une voie ferrée ballastée utilisant la méthode des éléments spectraux. L'influence de l'hétérogénéité est mise en évidence et étudiée. En conséquence,des courbes de dispersion sont obtenues. Enfin, la troisième partie présente deux jeux de données distincts de mesures expérimentales sur le matériau de ballast : (1) une boîte de ballast ; (2) un passage de train dans un segment de voie ferrée ballastée.Les courbes de mobilité ont été extraites de l'expérience sur les ballasts. Un problème inverse a été résolu afin d'estimer la vitesse de l'onde homogénéisée et la vitesse de l'onde locale dans le milieu. Les passages de trains enregistrés pour l'analyse de la vibration à moyenne fréquences. / The stronger competition with other means of transportation has increased the demand for performance in the railway industry. One way to achieve higher performance is using accurate numerical models to design/predict railways tracks behaviour. Two classes of numerical models are commonly used to predict the behaviour of these systems: (i) discrete approaches and (ii) continuum approaches. In the former, each grain of the ballast is represented by a rigid body and interacts with its neighbours through nonlinear contact forces using, for example, the nonsmooth contact dynamics method. Due to computational limits, this kind of method can only solve a few meters-length of ballast. The coupling with the soil under the ballast layer and with the sleepers also remains an open problem. In continuum approaches, the ballast is replaced by a homogenized continuum and the classical Finite Element (FE) Method (or similar) is used. However, they are normally used with homogeneous mechanical parameters, so that they do not represent fully the heterogeneity of the strains and stresses within the ballast layer. We investigate in this thesis an alternative approach using a stochastic heterogeneous continuum model, that can be solved with a FElike method while retaining to a large degree the heterogeneity of the stress and strain fields. The objective of this continuous model is to represent statistically the heterogeneity of the stress field in a continuum model as well as in a discrete granular model. To do this, the mechanical properties are represented using random fields. The present thesis is divided into three parts: (1) the construction of the model and the identification of the parameters of the continuum material (first-order marginal density, mean, variance, correlation model, and correlation length); (2) wave propagation in a ballasted railway track. (3) preliminary exploration of two experimental datasets. The first part sets the randomly-fluctuating continuum model and identifies the parameters of our continuum model on small cylindrical samples of discrete ballast. Continuum models equivalent to the discrete samples are generated and solved using the FE method, and the stochastic field used as mechanical properties. An optimization process is used to find a normalized variance for the stochastic heterogeneous material. The second part of this work concentrates on the solution of the dynamical equations on a large-scale model of a ballasted railway track using the Spectral Element Method. The influence of the heterogeneity is highlighted and studied. As a result, dispersion curves are obtained. Finally, the third part presents two distinct datasets of experimental measurements on ballast material: (1) a ballast box; (2) a train passage in a segment of ballasted railway track. Mobility curves were extracted from the ballast box experiment. An inverse problem was solved in order to estimate the homogenized wave velocity and local wave velocity in the medium. The trains pass-by recorded for the analysis of the vibration at medium frequencies.

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