Le travail présenté dans ce mémoire porte sur l'étude, l'optimisation et la réalisation d'une transmission planétaire magnétique. Dans notre thèse nous essayons de répondre à quelques questions intéressantes sur la possibilité de remplacer un train planétaire mécanique par un train planétaire magnétique, est-ce que la formule de Willis reste valable pour le train planétaire magnétique et est-ce que les trains magnétiques ont des performances similaires à celles des trains mécaniques ? Donc nous étudions, le remplacement du train mécanique par une transmission magnétique. Nous montrons que le train magnétique a un volume moindre, des pertes inférieures et plusieurs autres avantages. Notre but dans cette thèse est d'obtenir un "design" optimal d'un train magnétique. Nous utilisons un logiciel de calcul par éléments finis pour l'étude électromagnétique et nous cherchons également à optimiser les dimensions de ce train. Pour cela nous utilisons la méthode d'optimisation par essaim de particules (OEP). Un prototype a été réalisé ce qui permet de confronter les résultats de simulation et expérimentaux. / The work presented in this thesis deals with the study, the optimisation and the realisation of a magnetic planetary transmission. We try to answer some questions about the possibility of replacing the mechanical planetary gear used in industrial machines by a magnetic planetary gear; is the formula of Willis still valid for the magnetic planetary gear and are the magnetic planetary gear performances at least similar to ones of the mechanical gears? We study the replacement of the mechanical planetary gear by a magnetic one. We show that the magnetic one has a smaller volume, lower losses and many other benefits. The objective of this work is to obtain an optimum design of a magnetic planetary gear. We use a finite element software to study the magnetic behaviour of the device and we also perform the optimization of the dimensions of the magnetic planetary gear. The particle swarm optimization method (PSO) has been used. A prototype has been built so the computation results has been compared to the experimental ones.

Este trabalho tem como objetivo principal direcionar a tomada de decisões para a escolha dos diferentes parâmetros que envolvem o alinhamento horizontal e vertical do projeto geométrico ferroviário de trens de alta velocidade (TAV) e de longo percurso, bem como descrever conceitos teóricos para parâmetros de segurança e conforto, baseados em normas internacionais. A pesquisa se desenvolve através de consultas em revistas especializadas, artigos, publicações, normas técnicas e livros. Pela escassez de dados em língua nacional e material bibliográfico desatualizado, as pesquisas se concentram essencialmente em material internacional. Apesar do Brasil ser um dos países em desenvolvimento com maior ascensão no cenário global, tem apresentado, nas últimas décadas, sérios problemas de infra-estrutura devido a uma distribuição desequilibrada na área de transportes, com altíssima concentração no modo rodoviário, com aeroportos e rodovias operando acima da capacidade satisfatória, além de um leque limitado de alternativas de transporte. Devido à falta de investimentos no setor ferroviário, grande parte da malha ferroviária brasileira tornou-se inoperante ou até mesmo inexistente, resultando numa enorme diminuição da mão de obra qualificada e formação acadêmica nesse ramo. Como conseqüência, os estudos relacionados ao projeto ferroviário também foram afetados diretamente. Nesse contexto, é importante que se resgate normas, publicações, especificações técnicas e experiências adotadas em outros países com sólidas tradições ferroviárias, de modo a incorporar em nossa formação acadêmica tais conceitos, como é um dos objetivos dessa dissertação. / This dissertation has as main objective to guide in taking decisions for the selection of different parameters which involve the horizontal and vertical railway geometric design of high speed (HST) and long distance trains as well as theoretical concepts for describing security parameters and comfort, based on international standards. The research is developed through consultations in specialized magazines, articles, publications, standards and technical books. Due to the scarcity of data in the national language and outdated library materials, the research focuses primarily on international material. Although Brazil is a developing country with one of the highest rises in the global scene, the country has faced in recent decades serious infrastructure problems due to an uneven distribution in the area of transport, with high concentration in the road, and airports and roads operating above satisfactory capacity, resulted by a limited range of transportation alternatives. Due to the lack of investment in the railway sector, much of the Brazilian railway system became inoperative or even nonexistent, resulting in a tremendous decrease of skilled labor and academic training in this field. As a result, studies related to the railway project have also been directly impacted. In this context, it is important to rescue standards, publications, experiences and technical specifications adopted in other countries with strong tradition in railways in order to incorporate these concepts into our academic formation, which is one of the purposes of this dissertation.

Quantification of stochastic or quantum systems by a joint probability density or wave function is a notoriously difficult computational problem, since the solution depends on all possible states (or realizations) of the system. Due to this combinatorial flavor, even a system containing as few as ten particles may yield as many as $10^{10}$ discretized states. None of even modern supercomputers are capable to cope with this curse of dimensionality straightforwardly, when the amount of quantum particles, for example, grows up to more or less interesting order of hundreds. A traditional approach for a long time was to avoid models formulated in terms of probabilistic functions, and simulate particular system realizations in a randomized process. Since different times in different communities, data-sparse methods came into play. Generally, they aim to define all data points indirectly, by a map from a low amount of representers, and recast all operations (e.g. linear system solution) from the initial data to the effective parameters. The most advanced techniques can be applied (at least, tried) to any given array, and do not rely explicitly on its origin. The current work contributes further progress to this area in the particular direction: tensor product methods for separation of variables. The separation of variables has a long history, and is based on the following elementary concept: a function of many variables may be expanded as a product of univariate functions. On the discrete level, a function is encoded by an array of its values, or a tensor. Therefore, instead of a huge initial array, the separation of variables allows to work with univariate factors with much less efforts. The dissertation contains a short overview of existing tensor representations: canonical PARAFAC, Hierarchical Tucker, Tensor Train (TT) formats, as well as the artificial tensorisation, resulting in the Quantized Tensor Train (QTT) approximation method. The contribution of the dissertation consists in both theoretical constructions and practical numerical algorithms for high-dimensional models, illustrated on the examples of the Fokker-Planck and the chemical master equations. Both arise from stochastic dynamical processes in multiconfigurational systems, and govern the evolution of the probability function in time. A special focus is put on time propagation schemes and their properties related to tensor product methods. We show that these applications yield large-scale systems of linear equations, and prove analytical separable representations of the involved functions and operators. We propose a new combined tensor format (QTT-Tucker), which descends from the TT format (hence TT algorithms may be generalized smoothly), but provides complexity reduction by an order of magnitude. We develop a robust iterative solution algorithm, constituting most advantageous properties of the classical iterative methods from numerical analysis and alternating density matrix renormalization group (DMRG) techniques from quantum physics. Numerical experiments confirm that the new method is preferable to DMRG algorithms. It is as fast as the simplest alternating schemes, but as reliable and accurate as the Krylov methods in linear algebra.

Le domaine de la logistique implique souvent la résolution de problèmes combinatoires complexes. Ces derniers font également implicitement référence à des processus, acteurs, activités et méthodes concernant divers aspects qu'il faut considérer. Ainsi, un même problème peut faire intervenir des processus de vente/achat, transport/livraison et gestion de stock. Ces processus sont tellement divers et interconnectés qu'il est difficile pour un logisticien de tous les maîtriser. Dans cette thèse, nous proposons l'explicitation, par le biais d'ontologies, de connaissances conceptuelles et sémantiques concernant les processus logistiques. Ces connaissances explicites sont alors mises à contribution pour construire un système à base de connaissances permettant de guider les logisticiens dans la construction, de façon incrémentale et semi-automatique, de solutions informatiques à un problème qui leur est posé à un moment donné. Nous mettons en oeuvre une ontologie concernant le domaine de la logistique connectée à une ontologie associée à la problématique de l'optimisation. Nous établissons ainsi un lien sémantique explicite entre le domaine de la logistique et celui de l'optimisation. Cela permet aux logisticiens d'identifier de façon précise et sans ambigüité le problème logistique auquel il est confronté et les problèmes d'optimisation associés. L'identification des problèmes conduit alors à un processus de choix des solutions allant du choix du processus logistique précis à mettre en oeuvre à celui de la méthode de résolution du problème combinatoire et cela jusqu'à la découverte du composant informatique à invoquer et qui est matérialisé par un service web. L'approche que nous avons adoptée et mise en oeuvre a été expérimentée avec les problèmes de routage de véhicules, le problème de transport ferroviaire de passagers et le problème de terminaux de conteneurs. / Logistics problems are often complex combinatorial problems. These may also implicitly refer to the processes, actors, activities, and methods concerning various aspects that need to be considered. Thus the same process may involve the processes of sale/purchase, transport/delivery, and stock management. These processes are so diverse and interconnected that it is difficult for a logistic expert to compete all of them. In this thesis, we propose the explications with the help of ontologies of conceptual ans semantic knowledge concerning the logistic processes. This explicit knowledge is then used to develop a reasoning system to guide the logistic expert for an incremental and semi-automatic construction of a software solution to an instantly posed problem. We define an ontology concerning the inter-connected logistics and associated optimization problem. We, henceforth, establish an explicit semantic link between the domains of logistics and the optimization. It may allow the logistic expert to identify precisely and unambiguously the confronted logistic problem and the associated optimization problem. The identification of the problems then leads to a process to choose the solutions ranging from the choice of the precise logistic process to be implemented to that of the method to solve the combinatorial problem until the discovery of the software component to be invoked and which is implemented by a web service. The approach we have adopted and implemented has been experimented with the "Vehicle Routing Problems", the "Passenger Train Problem" and the "Container Terminal problems".

The research builds the history of the First Train Station of Aracaju, between the years 1910 and 1976. The year 1910 marks the appearing of documented information about the construction site of the Train Station; 1976 was the year the City Council ordered that Station to be demolished. The First Train Station was located in downtown Aracaju, near the Port. The importance of our research lies in the fact that the Train Station building has not been deeply studied yet and besides it no longer exists. The objective of the research is an historical data survey on the First Train Station of Aracaju, displaying several social, historical and economic aspects regarding that building, from 1910 to 1976. In the research we used secondary sources such as novels and memorial books, and primary documentation such as local newspapers and vintage photographs. The investigation shows the Station as a main point of a rail network in Sergipe, connected to the Brazilian railroad. During its operation, from 1913 to 1950, the First Station registered an intense flow of people from several social classes. Economically speaking, the Station had a strategic location, being directly linked to the Port of Aracaju and being next to various fabric factories and warehouses, allowing an expressive flow of animals, agricultural products and manufactured goods. While boosting its surroundings development, the Station may have attracted the construction of new commercial and public buildings. However, after losing its strategic importance due to the opening of the new Station of Siqueira Campos, the First Station was gradually abandoned, favoring the emerging of shacks nearby, with poor people living in precarious conditions, so the City Council provided the slum to be removed and to have the Station demolished. Finally the research intends to make an important contribution to the railroad history in Brazil as well as to Aracaju and the State of Sergipe history. / A pesquisa constrói uma história da Primeira Estação Ferroviária de Aracaju de 1910 e 1976. O ano 1910 marca o surgimento de informação sobre o local onde seria construída a Estação Ferroviária de Aracaju; 1976 foi quando a Prefeitura de Aracaju autorizou a demolição da citada Estação. Ela estava localizada no Centro da Cidade de Aracaju, próxima ao Porto. A importância de nossa pesquisa está no fato da Primeira Estação ainda não ter sido estudada de forma aprofundada, além disso, porque a sua estrutura física foi extinta. O objetivo da pesquisa é realizar um levantamento histórico sobre a Primeira Estação Ferroviária de Aracaju, expondo os aspectos físicos, sociais e econômicos relativos àquela edificação entre 1910 a 1976. Na pesquisa, utilizamos documentação secundária, como livros de romance e memorialista, e primária, como jornais sergipanos, documentos públicos e fotografias antigas. A investigação demonstrou que a Estação de Aracaju funcionou como uma estação principal de uma rede ferroviária em Sergipe, estando interligada à malha ferroviária brasileira. Em funcionamento, de 1913-1950, a Primeira Estação favorecia um intenso fluxo de pessoas de diversas classes sociais. Economicamente, a Estação de Aracaju tinha uma localização estratégica, tendo ligação direta com o porto de Aracaju, e ficava próxima a fábricas de tecidos e de trapiches, com intensa circulação de produtos e manufaturas sergipanos. Ao impulsionar o desenvolvimento da região de seu entorno, a Estação pode ter atraído a construção de novos edifícios comerciais e públicos. Contudo, entre 1950 a 1976, ao perder a sua importância estratégica para a nova Estação do Siqueira Campos, a Primeira de Estação foi abandona gradativamente e, ao seu redor, formou-se um aglomerado de barracos com pessoas pobres morando em condições precárias, até o momento em que a Prefeitura de Aracaju tomou providências para pôr fim a favela e demoliu a Estação. Finalmente, o trabalho contribui para a história da ferrovia no Brasil e para a história da Cidade de Aracaju e do Estado de Sergipe. / São Cristóvão, SE

Este trabalho tem como objetivo principal direcionar a tomada de decisões para a escolha dos diferentes parâmetros que envolvem o alinhamento horizontal e vertical do projeto geométrico ferroviário de trens de alta velocidade (TAV) e de longo percurso, bem como descrever conceitos teóricos para parâmetros de segurança e conforto, baseados em normas internacionais. A pesquisa se desenvolve através de consultas em revistas especializadas, artigos, publicações, normas técnicas e livros. Pela escassez de dados em língua nacional e material bibliográfico desatualizado, as pesquisas se concentram essencialmente em material internacional. Apesar do Brasil ser um dos países em desenvolvimento com maior ascensão no cenário global, tem apresentado, nas últimas décadas, sérios problemas de infra-estrutura devido a uma distribuição desequilibrada na área de transportes, com altíssima concentração no modo rodoviário, com aeroportos e rodovias operando acima da capacidade satisfatória, além de um leque limitado de alternativas de transporte. Devido à falta de investimentos no setor ferroviário, grande parte da malha ferroviária brasileira tornou-se inoperante ou até mesmo inexistente, resultando numa enorme diminuição da mão de obra qualificada e formação acadêmica nesse ramo. Como conseqüência, os estudos relacionados ao projeto ferroviário também foram afetados diretamente. Nesse contexto, é importante que se resgate normas, publicações, especificações técnicas e experiências adotadas em outros países com sólidas tradições ferroviárias, de modo a incorporar em nossa formação acadêmica tais conceitos, como é um dos objetivos dessa dissertação. / This dissertation has as main objective to guide in taking decisions for the selection of different parameters which involve the horizontal and vertical railway geometric design of high speed (HST) and long distance trains as well as theoretical concepts for describing security parameters and comfort, based on international standards. The research is developed through consultations in specialized magazines, articles, publications, standards and technical books. Due to the scarcity of data in the national language and outdated library materials, the research focuses primarily on international material. Although Brazil is a developing country with one of the highest rises in the global scene, the country has faced in recent decades serious infrastructure problems due to an uneven distribution in the area of transport, with high concentration in the road, and airports and roads operating above satisfactory capacity, resulted by a limited range of transportation alternatives. Due to the lack of investment in the railway sector, much of the Brazilian railway system became inoperative or even nonexistent, resulting in a tremendous decrease of skilled labor and academic training in this field. As a result, studies related to the railway project have also been directly impacted. In this context, it is important to rescue standards, publications, experiences and technical specifications adopted in other countries with strong tradition in railways in order to incorporate these concepts into our academic formation, which is one of the purposes of this dissertation.

Ce mémoire de thèse s'inscrit dans le contexte du projet FUTUR financé par l'ANR et concernant le développement de Fonctions optiques pour les Transmissions à très haut débit dans le Réseau coeur et porte sur la génération de sources optiques fibrées très hautes cadences et la caractérisation de fibres optiques microstructurées en verre de Chalcogénure. A cet effet, nous étudions les caractéristiques linéaires et non-linéaires au sein de fibres microstructurées en verre de chalcogénures conçue et réaliser via différentes collaborations dans le cadre du projet de l'ANR FUTUR. Pour cela un grand nombre de méthodes de caractérisations ont été mises au point donnant une comparaison entre une fibre SMF standard et ces fibres microstructurées chalcogénures. Par exemple, un montage interférométrique pour la mesure de la dispersion chromatique pour échantillon court, ou encore de nombreux banc expérimentaux permettant la caractérisation des propriétés non-linéaires de ces fibres (diffusion Raman, diffusion Brillouin, Coefficient non linéaire Kerr...). La seconde partie de ce mémoire présente la mise au point de méthode de conversion d'un battement sinusoïdal en un train d'impulsions hautement cadencé. Il est montré dans ce manuscrit que cette technique a été exploitée au plus prêt de ses limites, par l'obtention d'impulsions extrêmement courtes et par des débits très élevés. Les trains d'impulsions à très hautes cadences ont été caractérisés par un dispositif expérimental SHG-FROG. Une démonstration de la multiplication du débit par deux a été démontrée par l'effet Talbot. / This memory of thesis s' registered voter in the context of the FUTUR project financed by l'ANR and concerning the development of optical finctions fot the high bit-rate transmissions in the Network heart and carries on very high rates optical fibers sources generation and the optical chalcogenide microstructured fiber charaterization. For this purpose, we study the linear and non-linear characteristics of microstructured chalcogenide fibers conceived and realized in various collaborations within the framework of the ANR FUTUR project. For that a great number of characterizations methods were developed giving a comparison between a standard single mode fiber and there microstructured chalcogenide fibers. For exemple, an interferometric setup for the chromatic dispersion measurement for short sample, or many experimental setup allowing the nonlinear properties characterizations as of these fibers (Raman scattering, nonlinear Kerr Coefficient). The second part of this memory presents the settling of sinusoidal beat conversion into a high bit rate generation method. It is shown in this manuscript that this technique was exploited with readiest of its limits, by obtaining extremely short pulses and by very high bit-rate. The pulses train at very high rates were characterized by an experimental device SHG-FROG. A demonstration of the multiplication of the bit-rate by two at summer shown by Talbot effect.

Comme dans d'autres pays européens, en France, les lignes classiques constituent la plupart du réseau ferroviaire (94%) et elles sont généralement âgées de plus d'un siècle. Aujourd'hui, on est demandé d’améliorer les réseaux pour faire face à une augmentation de la charge du trafic et de la vitesse de service. Dans ce contexte, ce travail de thèse vise à étudier expérimentalement l'influence de la vitesse et de la charge sur le comportement dynamique des matériaux constituant les voies classiques, à travers à la fois le suivi «in-situ» et des essais en laboratoire. Pour les études «in-situ», une section de ligne représentative du réseau classique a été sélectionnée dans le réseau français. Le site choisi a fait l’objet d’une prospection géophysique et géotechnique, ce qui a permis de définir les propriétés géotechniques des différents sols constituant la plateforme. L’impact de la vitesse du train et la charge à l'essieu sur la contrainte verticale, déflection/déformation, et en particulier leurs amplifications ont été évalués avec l’augmentation de la vitesse d’un train d'essai Intercités roulant à des vitesses différentes de 60 km/h à 200 km/h et les différentes charges à l'essieu appliquées par des voitures de passagers et la locomotive. Une analyse statistique est aussi réalisée afin d'évaluer la variabilité de la réponse de la voie et leur amplification dynamique avec la vitesse, en se basant sur les données enregistrées lors des passages de trains commerciaux. On observe que l’'amplification dynamique de la réponse de la voie due à la vitesse des trains est directement liée au rapport entre la vitesse des trains et la vitesse des ondes de surface du site. Un matériau représentative du sol intermédiaire des voies classiques a été préparé et testé dans une cellule triaxiale cyclique pour étudier son comportement mécanique. Deux types de charges, de forme sinusoïdale et de forme M, ont été appliqués et, en outre, deux teneurs en eau ont été examinés. Des variations des paramètres dynamiques des sols tels que le module élastique et le rapport d’amortissement avec le nombre de cycles ont été évalués, et les effets des paramètres de chargement tels que la forme de la charge, l'amplitude de la charge et la fréquence de charge ont été étudiés. L'effet de la teneur en eau a été étudié également. Il a été observé que la réponse de l'énergie développée pendant le chargement cyclique est un paramètre qui gouverne le comportement mécanique des sols à petit et grand nombre de cycles. En outre, la charge en forme sinusoïdale a été trouvée plus agressive que celle en forme de M parce que ce chargement sinusoïdal développe plus d'énergie, engendrant ainsi plus de déformations permanentes du sol à grand nombre de cycles, particulièrement le cas lorsque le sol est saturé. A partir des résultats obtenus sur le terrain et en laboratoire, deux modèles analytiques en 2-D ont été développés permettant de décrire la distribution de contrainte verticale et la propagation des déflections verticales. Certains paramètres mécaniques tels que les modules élastiques des couches de la voie, leurs rapports d'amortissement, leurs épaisseurs, ainsi que la vitesse moyenne des ondes de surface dans la section de voie considérée se sont révélés être les principaux paramètres contrôlant le comportement dynamique de la voie. Une comparaison entre les mesures effectuées sur le terrain et les résultats des essais en laboratoire a été également réalisée. La réponse de la voie sous différents types de trains, TER et TGV avec des charges équivalentes mais avec différentes configurations spatiales des essieux, est présentée. On observe que la réponse en énergie est plus élevée pour TGV que pour TER. Cette plus grande énergie développée suggère une plus grande agressivité vis-à-vis de la structure de la voie. Ainsi, la réponse en énergie est un indicateur important à prendre en compte lors d’un suivi du comportement mécanique d’une voie / As in other European countries, in France the conventional lines constitute the main part of the whole railway network (94%) and they are generally over a century old. Nowadays, facing the demand of upgrading both the traffic load and speed, it is of paramount importance to acquire good knowledge on the corresponding impact on the mechanical behaviour of tracks, at both short and long terms. In this context, this PhD work aims at investigating the influence of train speed and axle load on the dynamic behaviour of materials constituting the conventional track-beds, through both ‘in-situ’ monitoring and laboratory testing. For the field monitoring, a representative track was selected from the French conventional network following well-defined criteria. The selected site underwent a geophysical and geotechnical prospection, allowing the site critical speed and the geotechnical properties of different soils constituting the track-bed to be determined. The first data allowed assessing the influence of the track state conditions and the traffic loading on the measurements of each sensor. The train speed and axle load impacts on the vertical stress, deflection/strain, in particular their amplifications with speed increase were evaluated based on the data with an Intercity test train running at different speeds from 60 km/h to 200 km/h and the different axle loads applied by Coaches (105 kN/axle) and Locomotive (225 kN/axle). A statistical analysis was made to assess the variability of track response and their dynamic amplification with speed based on the data with passages of commercial trains. The dynamic amplification of track response due to train speed was found to be directly related to the ratio of train speed to the surface wave velocity. The laboratory test conditions were defined based on the field measurements. A material representative of an interlayer soil was prepared and tested in a large-scale cyclic triaxial cell to investigate its mechanical behaviour. Both Sine-shaped and M-shaped loads were applied and in addition, two water contents were considered. The variations of dynamic parameters such as resilient modulus and damping ratio with number of cycles were assessed, and the effects of loading parameters such as consolidation pressure, load shape, load amplitude and load frequency were investigated. The effect of water content was studied as well. It was observed that the response of energy developed during cyclic loading is an important parameter controlling the soil mechanical behaviour at both small and large numbers of cycles. Also, the Sine-shaped loading was found more aggressive than M-shaped loading since the former results in higher energy and therefore larger soil deformation. This is particularly the case when the soil is saturated. Based on the results obtained in the field and laboratory, two 2-D analytical models were developed allowing the description of vertical stress and vertical deflection transmissions in track-beds. Some mechanical parameters such as the moduli of track-bed layers, their damping ratios, thicknesses as well as the average track surface wave velocity were found to be the key parameters governing the track dynamic behaviour. A comparison between field and laboratory results was also made. The track response to the loading by different train types, considering equivalent loads but different spatial loading configurations from TER and TGV train axles is presented. It was found that for each monitored position in the track, the response energy was higher for TGV than for TER. This larger developed energy suggests a higher aggressiveness to the track structure. Thus, the energy response is a key indicator to be taken into account when performing a track mechanical behaviour monitoring

Ces travaux de thèse sont le fruit de la collaboration entre la société Hispano-Suiza et le LaMCoS de l’INSA de Lyon. Dans le cadre du développement de nouveaux systèmes de propulsion, l’implantation d’un train planétaire / épicycloïdal entre la turbine et l’hélice semble être une voie intéressante pour atteindre les performances souhaitées en terme de rendement. L’augmentation des puissances transmises et la réduction des masses embarquées dans les applications aéronautiques tendent à rendre les composants de plus en plus déformables. Lors de ces travaux de recherche, un modèle dynamique de trains planétaires a été développé, incorporant les effets des erreurs de montage, des écarts de forme et des sous-ensembles flexibles. Une approche à paramètres concentrés est utilisée, intégrant notamment des éléments spécifiques d’engrenage et des éléments d’arbre. Pour les éléments d’engrenage, le formalisme des fines tranches juxtaposées est employé pour représenter les dentures. Une raideur élémentaire et un écart normal sont attribués à chacune des tranches et sont réactualisés à chaque pas de temps en fonction de la cinématique des composants et des déviations du profil des dentures. Les déformations de la couronne sont introduites à l’aide d’un anneau discret composé de poutres droites couplé aux éléments d’engrenage. Les dentures double-hélice sont modélisées par deux éléments d’engrenage d’angles d’hélice opposés liés par une poutre de Timoshenko. Finalement, les équations du mouvement sont résolues pas à pas dans le temps par un schéma de Newmark combiné à un algorithme de contact normal, permettant de prendre en compte les pertes de contact partielles ou complètes. Dans un premier temps, un certain nombre d’éléments de validation est présenté et comparé à des résultats tirés de la littérature. Afin d’asseoir notre modélisation, l’influence des erreurs de positionnement des satellites, du décalage des hélices, des erreurs de pas et des déformations de la couronne sur les distributions de charge est abordée pour différentes configurations de train planétaire. Dans un deuxième temps, l’optimisation des corrections de denture dans le but de réduire les vibrations est investiguée. Les corrections de profil sont introduites sur les engrènements de façon (i) linéaire et symétrique en tête de dents et (ii) identique pour tous les satellites mais (iii) différente selon le flanc actif. Dans ce contexte, les corrections sont tout d’abord optimisées vis-à-vis des efforts dynamiques d’engrènement à l’aide d’un algorithme génétique. Puis, leurs performances sont analysées en fonction du couple transmis et de la vitesse de rotation. Par la suite, un critère « équivalent » est dérivé, vérifié et utilisé pour étudier l’influence du décalage des hélices et d’une correction longitudinale parabolique sur ces corrections de profil optimales. Enfin, une sous-structure du porte-couronne est introduite et son impact sur les distributions de charge est exploré. / This research work was conducted at the Contact and Structural Mechanics Laboratory (LaMCoS) of LaMCoS - INSA Lyon (UMR CNRS 5259) in partnership with Hispano-Suiza (SAFRAN group). In the context of new turbo jet engine developments, a promising technological solution consists in inserting a planetary / epicyclic gear train between the turbine and the propeller which, in theory, can improve the system performance, especially in terms of efficiency. Increasing power densities and mass reduction constraints lead to more compliant structures which need to be analyzed from a dynamic viewpoint. The present work deals therefore with the dynamic modelling of planetary / epicyclic gears and the effects of assembly errors, tooth shape deviations and deformable structural components. A lumped parameter approach has been favored which combines rigid-body gear elements, beam and lumped parameters elements. A thin-slice model has been used to simulate the time-varying elastic properties of gear teeth with an elemental stiffness and a normal deviation functions attributed to every discrete cell on the contact lines (thin slice) and updated at each time step with respect to the meshing course and the instant positions of the teeth. Ring-gear deformations are introduced via a model of elastic annulus discretized into straight beam elements and connected to the gear elements. Double-helical gears are simulated by linking two gear elements of opposite hands by Timoshenko beam elements. The possibility of helix stagger is implemented by shifting the helix positions in the base plane. Finally, the equations of motion are solved step by step in time by combining a Newmark scheme and a normal contact algorithm which makes it possible to account for partial and total instant contact losses. A number of comparisons with benchmark results from the literature are presented which prove that the proposed theoretical and numerical developments are sound and can actually be used to simulate the influence of planet position errors, helix stagger, pitch errors and ring-gear deformations. The optimization of tooth shape modifications, i.e. profile and lead modifications, re dynamic mesh forces in planetary gears is tackled. Using a genetic algorithm, optimum profile modifications are derived and compared with some analytical results in the literature. Their performance over a range of loads and speeds is assessed for helical and double helical gears with rigid and flexible ring-gears. A quasi-static “equivalent” criterion based on local transmission errors is presented and commented upon. Having proved its relevance, a number of results are derived concerning the influence of helix stagger and lead crowning superimposed on optimum profile modifications. Finally, a deformable ring-gear support is introduced using a sub-structuring technique and its contribution in terms of tooth load distribution is examined.

Le traitement des données massives, communément connu sous l’appellation “Big Data”, constitue l’un des principaux défis scientifiques de la communauté STIC.Plusieurs domaines, à savoir économique, industriel ou scientifique, produisent des données hétérogènes acquises selon des protocoles technologiques multi-modales. Traiter indépendamment chaque ensemble de données mesurées est clairement une approche réductrice et insatisfaisante. En faisant cela, des “relations cachées” ou des inter-corrélations entre les données peuvent être totalement ignorées.Les représentations tensorielles ont reçu une attention particulière dans ce sens en raison de leur capacité à extraire de données hétérogènes et volumineuses une information physiquement interprétable confinée à un sous-espace de dimension réduite. Dans ce cas, les données peuvent être organisées selon un tableau à D dimensions, aussi appelé tenseur d’ordre D.Dans ce contexte, le but de ce travail et que certaines propriétés soient présentes : (i) avoir des algorithmes de factorisation stables (ne souffrant pas de probème de convergence), (ii) avoir un faible coût de stockage (c’est-à-dire que le nombre de paramètres libres doit être linéaire en D), et (iii) avoir un formalisme sous forme de graphe permettant une visualisation mentale simple mais rigoureuse des décompositions tensorielles de tenseurs d’ordre élevé, soit pour D > 3.Par conséquent, nous nous appuyons sur la décomposition en train de tenseurs (TT) pour élaborer de nouveaux algorithmes de factorisation TT, et des nouvelles équivalences en termes de modélisation tensorielle, permettant une nouvelle stratégie de réduction de dimensionnalité et d'optimisation de critère des moindres carrés couplés pour l'estimation des paramètres d'intérêts nommé JIRAFE.Ces travaux d'ordre méthodologique ont eu des applications dans le contexte de l'analyse spectrale multidimensionelle et des systèmes de télécommunications à relais. / Massive and heterogeneous data processing and analysis have been clearly identified by the scientific community as key problems in several application areas. It was popularized under the generic terms of "data science" or "big data". Processing large volumes of data, extracting their hidden patterns, while preforming prediction and inference tasks has become crucial in economy, industry and science.Treating independently each set of measured data is clearly a reductiveapproach. By doing that, "hidden relationships" or inter-correlations between thedatasets may be totally missed. Tensor decompositions have received a particular attention recently due to their capability to handle a variety of mining tasks applied to massive datasets, being a pertinent framework taking into account the heterogeneity and multi-modality of the data. In this case, data can be arranged as a D-dimensional array, also referred to as a D-order tensor.In this context, the purpose of this work is that the following properties are present: (i) having a stable factorization algorithms (not suffering from convergence problems), (ii) having a low storage cost (i.e., the number of free parameters must be linear in D), and (iii) having a formalism in the form of a graph allowing a simple but rigorous mental visualization of tensor decompositions of tensors of high order, i.e., for D> 3.Therefore, we rely on the tensor train decomposition (TT) to develop new TT factorization algorithms, and new equivalences in terms of tensor modeling, allowing a new strategy of dimensionality reduction and criterion optimization of coupled least squares for the estimation of parameters named JIRAFE.This methodological work has had applications in the context of multidimensional spectral analysis and relay telecommunications systems.