Musculoskeletal computational modeling is a versatile and effective tool which may be used to study joint mechanics, examine muscle and ligament function, and simulate surgical reconstructive procedures. While injury to the elbow joint can be significantly debilitating, questions still remain regarding its normal, pathologic, and repaired behavior. Biomechanical models of the elbow have been developed, but all have assumed fixed joint axes of rotation and ignored the effects of ligaments. Therefore, the objective of this thesis was to develop and validate a computational model of the elbow joint whereby joint kinematics are dictated by three-dimensional bony geometry contact, ligamentous constraints, and muscle loading.Accurate three-dimensional bone geometry was generated by acquiring CT scans, segmenting the images to isolate skeletal features, and fitting surfaces to the segmented data. Ligaments were modeled as tension-only linear springs, and muscle were represented as force vectors with discrete attachment points. Bone contact was modeled by a routine which applied a normal force at points of penetration, with a force magnitude being a function of penetration depth. A rigid body dynamics simulator was used to predict the model's behavior under particular external loading conditions.The computational model was validated by simulating past experimental investigations and comparing results. Passive flexion-extension range of motion predicted by the model correlated exceptionally well with reported values. Bony and ligamentous structures responsible for enforcing motion limits also agreed with past observations. The model's varus stability as a function of elbow flexion and coronoid process resection was also investigated. The trends predicted by the model matched those of the associated cadaver study.This thesis successfully developed an accurate musculoskeletal computational model of the elbow joint complex. While the model may now be used in a predictive manner, further refinements may expand its applicability. These include accounting for the interference between soft tissue and bone, and representing the dynamic behavior of muscles.

Dans cette thèse, nous étudions les transformations rigides dans le contexte de l'imagerie numérique. En particulier, nous développons un cadre purement discret pour traiter ces transformations. Les transformations rigides, initialement définies dans le domaine continu, sont impliquées dans de nombreuses applications de traitement d'images numériques. Dans ce contexte, les transformations rigides digitales induites présentent des propriétés géométriques et topologiques différentes par rapport à leurs analogues continues. Afin de s'affranchir des problèmes inhérents à ces différences, nous proposons de formuler ces transformations rigides dans un cadre purement discret. Dans ce cadre, les transformations rigides sont regroupées en classes correspondant chacune à une transformation digitale donnée. De plus, les relations entre ces classes de transformations peuvent être modélisées par une structure de graphe. Nous prouvons que ce graphe présente une complexité spatiale polynômiale par rapport à la taille de l'image. Il présente également des propriétés structurelles intéressantes. En particulier, il permet de générer de manière progressive toute transformation rigide digitale, et ce sans approximation numérique. Cette structure constitue un outil théorique pour l'étude des relations entre la géométrie et la topologie dans le contexte de l'imagerie numérique. Elle présente aussi un intérêt méthodologique, comme l'illustre son utilisation pour l'évaluation du comportement topologique des images sous des transformations rigides / In this thesis, we study rigid transformations in the context of computer imagery. In particular, we develop a fully discrete framework for handling such transformations. Rigid transformations, initially defined in the continuous domain, are involved in a wide range of digital image processing applications. In this context, the induced digital rigid transformations present different geometrical and topological properties with respect to their continuous analogues. In order to overcome the issues raised by these differences, we propose to formulate rigid transformations on digital images in a fully discrete framework. In this framework, Euclidean rigid transformations producing the same digital rigid transformation are put in the same equivalence class. Moreover, the relationship between these classes can be modeled as a graph structure. We prove that this graph has a polynomial space complexity with respect to the size of the considered image, and presents useful structural properties. In particular, it allows us to generate incrementally all digital rigid transformations without numerical approximation. This structure constitutes a theoretical tool to investigate the relationships between geometry and topology in the context of digital images. It is also interesting from the methodological point of view, as we illustrate by its use for assessing the topological behavior of images under rigid transformations

L'instabilité des blocs situés à la surface des excavations souterraines est un problème courant dans les milieux rocheux fracturés. Comme les méthodes exactes prenant en compte tous les blocs et leurs interactions sont très lourdes, l'approche des Blocs Isolés est souvent adoptée. Elle consiste à étudier chaque bloc en considérant qu'il est rigide et que le reste de la masse rocheuse est rigide et fixe. Néanmoins, aucune des méthodes existantes adoptant cette approche ne prend en compte de façon rigoureuse les contraintes initiales et le comportement des joints. Dans cette thèse, on développe une nouvelle méthode qui apporte des améliorations importantes aux méthodes conventionnelles de Blocs Isolés. Connaissant les contraintes initiales, on rend compte du processus d'excavation par le déchargement de la face libre du bloc. Les efforts sur les faces du bloc en contact avec la roche sont alors modifiés en respectant l'équilibre des forces et des moments, la loi de comportement des joints et le mouvement de corps solide du bloc. On aboutit ainsi à un système linéaire où les seules inconnues sont les vecteurs translation et rotation du bloc. Deux modèles sont proposés : le premier considère un comportement linéaire élastique des joints et, par conséquent, la stabilité est évaluée a posteriori. Le deuxième modèle, plus pertinent, considère un comportement hyperbolique des joints dans la direction normale et élastoplastique dans la direction tangentielle avec prise en compte de la dilatance. La méthode numérique adoptée pour la résolution du problème non linéaire est une intégration explicite dans le temps cinématique avec des pas de déchargement constants. La technique d'intégration surfacique utilisée permet d'étudier toute forme géométrique de bloc. La méthode proposée a été validée puis comparée aux méthodes conventionnelles. Des études paramétriques ont montré l'influence des contraintes initiales et des propriétés mécaniques des joints sur la stabilité. Le soutènement a été aussi intégré dans le code développé. Finalement, la nouvelle méthode a été appliquée pour l'étude d'un assemblage de blocs autour d'une excavation souterraine et comparée à un modèle prenant en compte tous les blocs via la méthode des Éléments Distincts. Elle a été aussi utilisée pour restituer un cas réel de chute de blocs. / Failure of rock blocks located at the surface of underground excavations is a common problem in discontinuous rock masses. Since exact methods that take into account all blocks and their interactions are computationally hard, the Isolated Blocks method is usually adopted. It consists in studying each block considering it to be rigid and the surrounding rock mass to be rigid and fixed. Nevertheless, none of the existing methods based on this approach takes into account initial stresses and joints behavior rigorously. In this thesis, a new method providing significant improvements to conventional Isolated Blocks methods is developed. Considering that initial stresses are known, the excavation process is modeled by unloading the block's free face. Stresses acting on the faces in contact with the rock mass are then resolved by taking into account force and moment balance equations, joints behavior and rigid body movement. This leads to a linear system where the block's translation and rotation vectors are the only unknowns.Two models are proposed: the first one assumes linear elastic joint behavior, thus the stability is evaluated a posteriori. The second, more realistic model, assumes joint behavior to be hyperbolic in the normal direction and elastoplastic in the tangential direction, while also accounting for dilatancy. This non-linear problem is solved numerically by explicit integration in the kinematic time with constant deconfining steps. Also, thanks to the surface integration technique used, any block geometry can be studied. The method proposed is validated and compared to other conventional methods. Parametric studies show the influence of initial stresses and the joints' mechanical properties on the stability. Rock support modeling is also integrated into the code. Finally, the new method is applied to study an assemblage of blocks around an underground excavation and is compared to a model that takes into account all the blocks with the Distinct Element Method. It is also used to reproduce an actual block failure case.

Les inclusions souples, telles que les colonnes ballastées, sont constituées de matériaux granulaires purement frottants et réalisées à partir de différentes méthodes, afin d’entraîner des améliorations des performances du sol (réduction des tassements, augmentation de la capacité portante, etc.). Dès leur origine, fin des années 1950, ces colonnes ont été employées en maillages réguliers sous des ouvrages de grandes dimensions (remblais, réservoirs, dallages…) apportant des surcharges uniformément réparties. Depuis plusieurs années, les colonnes sont souvent mises en œuvre de manière isolée ou en groupe d’éléments limités (2 à 6 unités) et coiffées par une semelle rigide. Il est donc important de prévoir le comportement mécanique de ces inclusions sous des semelles rigides compte tenu de leur application à de nombreuses structures (logements, bâtiments industriels…). L’objectif principal du travail présenté ici est : (1) d’analyser et de quantifier l’amélioration du sol obtenue par la mise en place des colonnes ballastées, dans un sol argileux, sous semelles rigides et (2) de développer une méthodologie numérique permettant de valider les résultats d’essais en grandeur réelle. Pour atteindre ces objectifs, une importante campagne d’essais en grandeur réelle a été élaborée puis mise en œuvre. Il s’agit d’une campagne de sondages de pénétration statique réalisés avant et après la mise en place des colonnes (isolées ou en groupe de 3 de 1,8 m d’entre-axe), ainsi que d’essais de chargement comparatifs en grandeur réelle pendant 77 jours, de semelles (1,2 x 1,2 x 0,5 m) sur une colonne ballastée et sur le sol naturel, et de semelles (2,3 x 2,5 x 0,5 m) sur trois colonnes et sur le sol naturel. Une importante instrumentation du sol et des colonnes (inclinomètres, sondes de pression interstitielle, capteurs de pression totale verticale) a été mise en place avant la réalisation des colonnes afin de déterminer l’amélioration du sol et le comportement à la rupture de ces inclusions. Puis, les résultats expérimentaux (déplacements horizontaux et verticaux, et contraintes totales verticales) ont été confrontés aux résultats de modélisations numériques en 2 (PLAXIS 2D V8) et 3D (FLAC 3D). Ont notamment été étudiés en 2D les outils numériques permettant de simuler le processus de mise en œuvre d’une colonne par refoulement latéral du sol / Flexible inclusions, such as stone columns, are made up of purely frictional granular material and are constructed using a variety of methods, in order to improve the soil (settlement reduction, increase in bearing capacity…). At their beginning, end of the 1950’s, stone columns were placed in a regular mesh under great structures (embankments, tanks, slabs…) bringing uniformly distributed loads. Since several years, these columns are often constructed as isolated elements or in groups of a certain number (generally 2 to 6) on top of which is placed a rigid footing. It is thus important to predict the stone column’s mechanical behavior under rigid footings knowing that they can be used under a broad variety of structures (accomodation, industrial buildings…). The main purpose of the work presented in this thesis is to: (1) analyse and quantify the soil’s improvement thanks to the construction of stone columns, in a clayey soil, under rigid footings and (2) to develop a numerical methodology allowing us to validate full scale experimental results. In order to achieve this, an important full scale load test campaign was first conceived and then set up. Cone penetration tests were carried out before and after stone column construction (in isolated elements or in groups of three columns located at the corners of a 1,8 m faced triangle). Another part of this campaign deals with comparative full scale load tests carried out during 77 days: two rigid footings of 1.2 x 1.2 x 0.5 m, one on the natural soil and one placed on top of a stone column, and two rigid footings of 2.3 x 2.5 x 0.5 m, one on the natural soil and the other one placed on three stone columns. An important soil and column monitoring (inclinometers, pore pressure cells, total vertical load pressure cells) was set up before column construction in order to measure the soil’s improvement and the column’s failure behavior. The the experimental results (lateral and vertical displacements, and total vertical pressures) were compared to numerical ones in 2 (PLAXIS 2D V8) and 3D (FLAC 3D). In 2D, part of the work was focused on simulating the installation process of a stone column by lateral displacement of the soil

Le peptide antimicrobien Cateslytine (bCGA RSMRLSFRARGYGFR ) inhibe la libération des catécholamines des cellules chromaffines. Des études biologiques ont montré que ce peptide est capable d’inhiber aussi la croissance de nombreux microorganismes notamment des bactéries, des levures ainsi que le parasite Plasmodium falciparum responsable de la malaria. Cependant, le mode d’action moléculaire demeurait inconnu. Afin de mieux comprendre le ciblage et la sélectivité de ce peptide sur les membranes de mammifères ou de microorganismes, nous avons donc envisagé la reconstitution du système biologique composé initialement de peptides en contact avec des cellules, en le substituant par des modèles de membrane, de composition mimant celle des différents microorganismes. Des études structurales ont été menées en utilisant la technique d’ATR-FTIR polarisé, le dichroïsme circulaire et la RMN à haute résolution. La dynamique membranaire a été étudiée en utilisant la RMN des solides du phosphore et du deutérium. Des expériences de patch-clamp ont été effectuées afin de mesurer des flux d’ions au travers de la membrane. Enfin, de la simulation par ordinateur a permis de comprendre cette interaction au niveau moléculaire. Trois résultats principaux sont ressortis de cette approche pluridisciplinaire : i) Des flux ioniques au travers de la membrane attestent de la présence de cannaux. ii) La formation de domaines membranaires rigides constitués de lipides chargés négativement est démontrée. iii) Une structuration des peptides en feuillets ß antiparallèles est observée sur des membranes chargées négativement mimant les microorganismes. L’ensemble de ces résultats conduit à la proposition d’un mode d’action dans lequel la déstabilisation membranaire est induite par les domaines rigides stabilisés par les agrégats de peptides structurés en feuillets ß. / The antimicrobial peptide Cateslytin (bCGA RSMRLSFRARGYGFR ) is a five positively charged arginin rich peptide known to inhibit the release of catecholamine in chromaffin granules. Although biological data showed that it is able to inhibit the growth of several microorganisms such as bacteria, yeast and Plasmodium falciparum parasite involved in malaria, the mechanism of action has not been yet studied. In order to better understand both targeting and selectivity of this peptide towards microorganisms, model membranes of variable compositions have been chosen to respectively mimic microorganisms or mammalian membranes. Structural studies have been performed using polarised ATR-FTIR, circular dichroïsm and high resolution NMR Membrane dynamics has been followed using deuterium labelled lipids and solid state NMR Patch clamp experiments were also performed on lipid vesicles to measure channe conductivity. All-atom molecular dynamics on hydrated peptide-lipid membrane systems was also used to assess the interaction from the atomic level. Main results from this interdisciplinary approach are three-fold. i) Electric current passages through membranes demonstrate permeation akin to pore formation. ii) Peptide-induced formation of rigid domains mainly made of negatively charged lipids is found. iii) Peptide antiparallel ß-sheets are observed preferentially with negatively charged lipids mimicking microorganism membranes. The general picture leads to the proposal that membrane destabilization/permeation is promoted by rigid domains stabilised by peptide ß-sheets.

Les avancées technologiques dans le domaine informatique (logiciel et matériel) et, en particulier, de la géolocalisation ont permis la démocratisation des modèles numériques. L'arrivée depuis quelques années de véhicules de cartographie mobile a ouvert l'accès à la numérisation 3D mobile terrestre. L'un des avantages de ces nouvelles méthodes d'imagerie de l'environnement urbain est la capacité potentielle de ces systèmes à améliorer les bases de données existantes 2D comme 3D, en particulier leur niveau de détail et la diversité des objets représentés. Les bases de données géographiques sont constituées d'un ensemble de primitives géométriques (généralement des lignes en 2D et des plans ou des triangles en 3D) d'un niveau de détail grossier mais ont l'avantage d'être disponibles sur de vastes zones géographiques. Elles sont issues de la fusion d'informations diverses (anciennes campagnes réalisées manuellement, conception automatisée ou encore hybride) et peuvent donc présenter des erreurs de fabrication. Les systèmes de numérisation mobiles, eux, peuvent acquérir, entre autres, des nuages de points laser. Ces nuages laser garantissent des données d'un niveau de détail très fin pouvant aller jusqu'à plusieurs points au centimètre carré. Acquérir des nuages de points laser présente toutefois des inconvénients :- une quantité de données importante sur de faibles étendues géographiques posant des problèmes de stockage et de traitements pouvant aller jusqu'à plusieurs Téraoctet lors de campagnes d'acquisition importantes- des difficultés d'acquisition inhérentes au fait d'imager l'environnement depuis le sol. Les systèmes de numérisation mobiles présentent eux aussi des limites : en milieu urbain, le signal GPS nécessaire au bon géoréférencement des données peut être perturbé par les multi-trajets voire même stoppé lors de phénomènes de masquage GPS liés à la réduction de la portion de ciel visible pour capter assez de satellites pour en déduire une position spatiale. Améliorer les bases de données existantes grâce aux données acquises par un véhicule de numérisation mobile nécessite une mise en cohérence des deux ensembles. L'objectif principal de ce manuscrit est donc de mettre en place une chaîne de traitements automatique permettant de recaler bases de données géographiques et nuages de points laser terrestre (provenant de véhicules de cartographies mobiles) de la manière la plus fiable possible. Le recalage peut se réaliser de manière différentes. Dans ce manuscrit, nous avons développé une méthode permettant de recaler des nuages laser sur des bases de données, notamment, par la définition d'un modèle de dérive particulièrement adapté aux dérives non-linéaires de ces données mobiles. Nous avons également développé une méthode capable d'utiliser de l'information sémantique pour recaler des bases de données sur des nuages laser mobiles. Les différentes optimisations effectuées sur notre approche nous permettent de recaler des données rapidement pour une approche post-traitements, ce qui permet d'ouvrir l'approche à la gestion de grands volumes de données (milliards de points laser et milliers de primitives géométriques).Le problème du recalage conjoint a été abordé. Notre chaîne de traitements a été testée sur des données simulées et des données réelles provenant de différentes missions effectuées par l'IGN / Technological advances in computer science (software and hardware) and particularly, GPS localization made digital models accessible to all people. In recent years, mobile mapping systems has enabled large scale mobile 3D scanning. One advantage of this technology for the urban environment is the potential ability to improve existing 2D or 3D database, especially their level of detail and variety of represented objects. Geographic database consist of a set of geometric primitives (generally 2D lines and plans or triangles in 3D) with a coarse level of detail but with the advantage of being available over wide geographical areas. They come from the fusion of various information (old campaigns performed manually, automated or hybrid design) wich may lead to manufacturing errors. The mobile mapping systems can acquire laser point clouds. These point clouds guarantee a fine level of detail up to more than one points per square centimeter. But there are some disavantages :- a large amount of data on small geographic areas that may cause problems for storage and treatment of up to several Terabyte during major acquisition,- the inherent acquisition difficulties to image the environment from the ground. In urban areas, the GPS signal required for proper georeferencing data can be disturbed by multipath or even stopped when GPS masking phenomena related to the reduction of the portion of the visible sky to capture enough satellites to find a good localization. Improve existing databases through these dataset acquired by a mobile mapping system requires alignment of these two sets. The main objective of this manuscript is to establish a pipeline of automatic processes to register these datasets together in the most reliable manner. Co-registration this data can be done in different ways. In this manuscript we have focused our work on the registration of mobile laser point cloud on geographical database by using a drift model suitable for the non rigid drift of these kind of mobile data. We have also developped a method to register geographical database containing semantics on mobile point cloud. The different optimization step performed on our methods allows to register the data fast enough for post-processing pipeline, which allows the management of large volumes of data (billions of laser points and thousands geometric primitives). We have also discussed on the problem of joint deformation. Our methods have been tested on simulated data and real data from different mission performed by IGN

Soit \M un espace de modules de groupes p-divisibles introduit par Rapoport et Zink. Supposons que cet espace \M soit non-ramifié de type EL ou PEL unitaire ou symplectique. Soit \Mrig la fibre générique de Berthelot de \M. C'est un espace rigide analytique au-dessus duquel il existe une tour de revêtements étales finis (\M_K)_K qui classifient les structures de niveau. On définit un morphisme déterminant \det_K de la tour (\M_K)_K vers une tour d'espaces rigides analytiques étales de dimension 0 associée au cocentre du groupe réductif relié à cet espace. C'est un analogue local en des places non-archimédiennes du morphisme déterminant pour les variétés de Shimura défini par Deligne. Comme pour les variétés de Shimura, on montre que les fibres géométriques du morphisme déterminant \det_K sont les composantes connexes géométriques de \M_K. On définit aussi les morphismes puissances extérieures qui généralisent le morphisme déterminant sur la tour d'espaces rigides analytiques associée à un espace de Lubin-Tate. / Let \M be a moduli space of p-divisible groups introduced by Rapoport and Zink. Assume that \M is unramified of EL or PEL type which is unitary or symplectic. Let \Mrig be the generic fiber of Berthelot of \M. This is a rigid analytic space over which there exist a tower of finite etale coverings (\M_K)_K classifing the level structures. We define a determinant morphism \det_K from the tower (\M_K)_K to a tower of rigid analytic spaces of dimension 0 associated to the cocenter of the reductive group related to the space \M. This is a local analogue on the nonarchimedean places of the determinant morphism for Shimura varieties defined by Deligne. As for Shimura varieties, we prove that the geometric fibers of the determinant morphism \det_K are the geometrically connected components of \M_K. We define also the exterior power morphisms which generalize the determinant morphism on the tower of rigid analytic spaces associated to a Lubin-Tate space.

O escoamento ao redor de cilindros inclinados, ou escoamento oblíquo, é um problema bastante comum em diversas áreas da engenharia. Embora o escoamento ao redor de um cilindro não inclinado consista em um tópico clássico e bastante estudado no contexto da mecânica dos fluídos, os estudos investigativos do escoamento oblíquo existem em menor número. O procedimento mais adotado para o estudo do escoamento ao redor de um cilindro inclinado é o Princípio da Independência, que atesta que todas as características da esteira dependem unicamente da componente da correnteza incidente que é ortogonal ao eixo do cilindro. Visando um melhor entendimento do escoamento ao redor de cilindros rígidos e inclinados, três grupos de experimentos foram conduzidos com cilindros inclinados tanto à montante como à jusante. Cinco ângulos de inclinação, definidos entre o eixo do cilindro e a direção ortogonal à da correnteza foram ensaiados, a saber: teta = 0°, 10°, 20°, 30° e 45°. No primeiro grupo de experimentos, os resultados obtidos com os cilindros estacionários inclinados à montante mostraram que o coeficiente de arrasto médio concorda com os resultados da configuração de referência, desde que a componente da correnteza incidente ortogonal ao eixo do cilindro seja utilizada na normalização da força. No tocante aos experimentos dos cilindros sujeitos ao fenômeno de vibrações induzidas pela emissão de vórtices com um ou dois graus de liberdade, existe um decréscimo da amplitude de oscilação dos cilindros com o aumento do ângulo de inclinação. Em todas as campanhas experimentais, foram verificadas diferenças entre os resultados obtidos com os cilindros inclinados à montante ou à jusante. Essa diferença é tão maior quanto maior for o ângulo de inclinação, e está associada à assimetria nas condições de extremidade do cilindro. / The flow around yawed cylinders, or oblique flow, is a common subject in several engineering applications. Despite the flow around a non-yawed cylinder consists on a classical and extensively investigated problem, there is a considerable lower number of investigation concerning the oblique flow. The most employed approach aiming at investigating the oblique flow is the so called Independence Principle, which states that the flow characteristics depend only on the component of the free-stream that is normal to the cylinder axis. Three groups of experiments were carried out aiming at a better understanding of the flow around yawed cylinders. Five yaw angles defined between the cylinder axis and the direction orthogonal to the free-steam were tested, namely: theta = 0°, 10°, 20°, 30° e 45°. From the first group of experiments, the results obtained with stationary cylinders yawed in the upstream orientation shown that the mean drag coeficient matches the classical results from the non-yawed cylinder, if the component of the free-stream that is orthogonal to the cylinder axis is employed in the normalization of the hydrodynamic force. Concerning vortex-induced vibrations experiments with one and two degrees-of-freedom, a decrease was observed in the maximum oscillation amplitude. For all the experiments, it was observed that the results obtained from the upstream orientation tests can be different from those obtained for the downstream orientation ones. The larger the yaw angle, the larger are the differences, which are associated to the asymmetric end conditions.

A produção de petróleo em ambiente marítimo é feita através de plataformas, em geral flutuantes, conectadas aos reservatórios através de dutos, os chamados risers, responsáveis pelo transporte de petróleo bruto, gás ou água. Do ponto de vista estrutural, estes risers podem ser rígidos ou flexíveis, porém, independente do tipo empregado, com o aumento da profundidade, aumentam-se os esforços de tração sobre essas estruturas. Em águas profundas, essa desvantagem pode ser diminuída com a utilização de configurações mais complexas, dentre as quais se destaca a riser tower, que é foco do presente estudo. Este sistema é composto por vários dutos unidos ao longo de um tubo vertical único, sustentado por uma bóia de subsuperfície. Um grande atrativo desta configuração é a redução da fadiga devido às ondas, uma vez que a bóia e parte significativa dos risers rígidos verticais não sofrem efeitos relevantes das ondas de superfície. No entanto, dois problemas de interação fluido-estrutural persistem: um associado ao fenômeno de VIV Vibração Induzida pela Emissão de Vórtices no riser vertical e outro relativo ao VIM - Movimento Induzido pela Emissão de Vórtices na bóia. Devido ao fato da correnteza ser quase permanente, bem como das altas frequências passíveis de excitação, tem-se um número de ciclos de tensão bastante elevado, associados à flexão, o que pode ser importante no estudo de fadiga do material que compõe as referidas estruturas. De maneira mais completa, no que compete à fenomenologia das interações fluidoestruturais mencionadas, o presente trabalho propõe-se a estudar numérica e analiticamente a dinâmica transversal e longitudinal do conjunto formado pelo riser rígido e pela bóia de subsuperfície, particularmente focado nos efeitos da dinâmica sobre a vida útil do riser vertical. / The offshore oil production is performed with platforms, floating in most cases, which are connected to the well through pipes. These pipes are called risers and are responsible for the transport of crude oil, gas and water from seabed to the platform and vice-versa. From the structural standpoint, these risers can be rigid or flexible. However, independently of the type, the topside tension of these structures increases with the water depth. In deep water this disadvantage can be reduced by using more complex configurations, for example the riser tower, which is the focus of the current study. The riser tower is a system composed by pipes bundled around a central steel tube supported by a subsurface buoyancy tank. This configuration is attractive due to the reduction on waves fatigue since the buoy and most of the vertical risers length is not impacted by the effects of the surface waves. Nevertheless, two issues from the fluid-structural interaction still persist: one related to the VIV phenomena vortex-induced vibration on the vertical riser and the other associated to the VIM vortex induced motion on the buoyancy tank. Considering the almost permanent nature of the offshore currents associated to the high frequencies that can be excited, during the operational life, the riser is subjected to a large amount of stress cycles which are important for the evaluation of the structural integrity in terms of fatigue. In a more complete sense, considering the phenomenology of the fluid-structure interactions, the purpose of the present work is studying numerical and analytically the inline and cross-flow dynamics of the riser tower system especially focused on the impact of the dynamics on the vertical riser operational life.

Sistemas estruturais constituídos por perfis de aço são, em geral, dimensionados de uma forma \"indireta\", isto é, cada componente é analisado e verificado segundo suas capacidades teóricas individualmente, normalmente associando-se condições de extremidade e comprimentos teóricos para cada barra de modo a aproximar a sua capacidade portante sob a condição real. Contudo, importantes efeitos como a transmissão do empenamento entre as barras devido à torção e/ou distorção, as restrições localizadas impostas por sistemas de contraventamento ou componentes diversos, e também a compatibilidade de deslocamentos locais/globais entre barras conectadas não alinhadas entre si, são desconsiderados, uma vez que o estudo de tais efeitos envolve, normalmente, custosos trabalhos de modelagem através de elementos finitos de casca (e/ou sólidos), soluções numéricas complexas e demoradas, e/ou estudos experimentais caros e trabalhosos. Neste contexto, alguns recentes trabalhos apontam para um vasto campo de aplicações das inovadoras potencialidades da Teoria Generalizada de Vigas (GBT), permitindo, em particular, a análise de sistemas estruturais que consideram os diversos efeitos provocados por condições de apoio arbitrárias, diferentes posições do carregamento e efeitos decorrentes das ligações entre as barras. Contudo, apesar de tais recursos ampliarem as aplicações da GBT na análise de estabilidade de sistemas estruturais, apenas um conjunto limitado de problemas pode ser atendido, especialmente quanto às ligações entre as barras. Os recentes trabalhos envolvendo a aplicação da GBT para a análise de estabilidade de pórticos metálicos dedicaram-se ao estudo de alguns casos específicos de ligações rígidas, isto é, assumem a hipótese de transferência completa dos deslocamentos generalizados entre as barras. Assim, uma vez que a rigidez de tais ligações pode ser responsável por mudanças significativas no comportamento do sistema estrutural em questão, este trabalho procura fornecer uma solução capaz de considerar a semirrigidez das ligações metálicas associada aos parâmetros modais típicos da GBT. Além disso, dada a possibilidade de ampliar os tipos de ligações analisadas por meio da GBT, incluindo as configurações mais comumente utilizadas na prática, apresentam-se novos conjuntos de relações cinemáticas desenvolvidas para tal, assim como as referidas validações, que são realizadas por meio de análises utilizando o programa computacional ANSYS®. / Steel structural systems are usually associated with an \"indirect approach\", i.e., each component of the respective structure is analysed and verified according to its theoretical individual capacity. Normally, in order to approximate the real behaviour of the structural system, specific support conditions and effective length concepts are used to analyse each structural member separately. However, some important effects are disregarded in this procedure, like the warping transmission at frame joints (due to torsion and/or distortion), or those stemming from localized supports associated with bracing systems, as well as the local/global displacements compatibility of the cross-section walls at the joint region. Additionally, studies considering the above mentioned effects involves rather complicated and time-consuming numerical analyses using shell and/or solid finite elements, and/or expensive experimental investigation. On the other hand, some recent studies revealed a large field for application of the Generalized Beam Theory (GBT) in the context of the stability, first and second order analyses of structural systems, considering, particularly, the effects caused by arbitrary support conditions, different load positions, and the effects caused by connections between members. Nonetheless, all the recent works applying GBT for stability analysis of steel frames are focused on some specific cases of rigid connections, i.e., they assume the full transfer of the generalized displacements between the non-aligned members. Thus, given the well-known fact that the rigidity of connections may lead to considerable changes of the structural behaviour of steel structural systems, this work deals with the development of a solution to incorporate the semi-rigidity of the steel frame connections to the modal parameters of the GBT. Furthermore, given the possibility to expand the connection types analysed by means of GBT, including the most commonly used configurations adopted in practice, it is presented the related new kinematic relations developed, as well as the validation studies carried out in the software ANSYS®.