A falta de um membro, devido a doenças, más-formações ou traumas, impacta enormemente na vida de um indivíduo. Para que o mesmo possa realizar Atividades de Vida Diária (AVD), sem drásticas limitações, faz-se necessário o desenvolvimento de próteses e cientes. Para auxiliar no projeto de tais produtos, este trabalho visa criar e solucionar um modelo de sistema dinâmico capaz de simular o comportamento de joelhos prostéticos. A m de alcançar tal objetivo, foi estudada a biomecânica da marcha humana, além dos tipos de amputações existentes e seus impactos na mesma. Buscou-se também estudar os principais componentes de próteses existentes atualmente no mercado, além de suas geometrias básicas. Após de nir-se um modelo simpli cado que representasse os componentes protéticos e as partes remanescentes do corpo, foram buscadas métodos de solução disponíveis para tal sistema. Baseado nos estudos encontrados em uma revisão bibliográ ca, foi de nida uma metodologia de solução numérica de sistemas multi-corpos. Durante o trabalho, surgiu a necessidade de representar forças de contato entre corpos rígidos, e foram incluídas soluções de atuais teorias do assunto. Essas metodologias foram então empregadas para a construção de um algoritmo capaz de solucionar o sistema proposto. Depois de resolvido o sistema, os valores encontrados para as variáveis cinéticas foram comparados com valores obtidos por uma simulação numérica utilizando dois programas computacionais comercias, cujas fundamentações teóricas utilizam diferentes métodos de solução. A comparação das diferenças entre os resultados apontou similaridade entre o algoritmo e os programas utilizados, mas com a necessidade de validação do método através de ensaio mecânico. Ao nal foram sugeridas ideias para trabalhos futuros. / The lack of a member due to diseases, malformations or trauma, greatly impacts the life of an individual. In order to perform Activities of Daily Living (ADL) without drastic limitations, it is necessary to develop e cient prosthetic devices. To assist the design of such products, this work aims to create and solve a dynamic system model to simulate the behavior of prosthetic knees. In order to achieve this goal, the biomechanics of human gait was studied, as well as the existing types of amputation and their impact on human gait. The main components of existing prosthetic devices, currently on the market, were identi ed, as well as its basic geometries. After de ning a simpli ed model able to incorporate the prosthetic components and the individual remaining body parts, an available methodology for the solution of such a system was prospected. Based on the studies found in the currently literature of multibodysystems, a numerical solution methodology for has been set. During the work, the need to represent contact between parts occurred, leading to the implementation of currently theories of contact forces for rigid bodies. These methodologies were then used to construct an algorithm for solving the proposed system. After the system has been solve, the values found for the kinetic variables were compared with those obtained by numerical simulations using two commercial softwares, whose theoretical foundation used di erent solution methodology. Comparing the di erences in results of these simulations, it was revealed a similar behavior between the algorithm and the commercial programs, but with the need of an experimental test, for truly validation of the method. At the end of this work, ideas for future improvement were suggested.

Les articulations en caoutchouc naturel sont des éléments indispensables et nombreux dans une liaison au sol automobile afin d'assurer le filtrage des vibrations. Leur comportement non-linéaire, notamment visco-élastique et hystérétique engendrent cependant des phénomènes parfois indésirables ou imprévus qui peuvent impacter la dynamique du véhicule. Ce travail a permis de modéliser l'ensemble des comportements d'une articulation en caoutchouc grâce à un nouveau modèle, le modèle STVS ( Standard Triboelastic Visco Solid) inspiré des travaux sur le génie parasismique et notamment du modèle STS (Standard Triboelastic Solid) de V. Coveney. L'identification d'un tel modèle non-linéaire a été envisagée de différentes façons : empirique, d'après des données fréquentielles. Les bases d'une identification d'après des données temporelles sont également posées. L'introduction d'un modèle d'articulation identifié sur des mesures dans une simulation transitoire multi-corps de liaison au sol d'un véhicule permet de mettre en évidence des phénomènes qui jusqu'à présent n'étaient pas représentés par une simple élasticité, comme des effets de relaxation des articulations lors d'un échelon d'angle au volant, ou l'impact des différentes amplitudes de sollicitations. / Rubber bushings are necessary elements to filtrate undesirable vibrations in vehicle chassis. They are numerous and their non linear behaviour like viscoelasticity or hysteresis generate phenomenon which can influence the vehicle dynamics. This study describes a new model for rubber bushings, representative for all their temporal mechanical behaviours. This model Is called STVS ( Standard Triboelastic Visco Solid). The identification of such a non-linear temporal model has been studied through different viewpoints : empirical identification, identification based on frequency data and the grounds for a temporal dat based identification have been described. The introduction of such an identified rubber bushing model in a multi-body simulation of a vehicle chassis, unables us to point out phenomenon which could not be evidenced through a simple elasticity modelling : for instance, relaxation in bushings during a wheele angle sollicitation or the impact of different sollicitation amplitudes on the response of the bushing.

Esta tese apresenta o desenvolvimento de um método de elementos de contorno (BEM) no domínio do tempo baseado em fontes de Rankine para analise linear de comportamento no mar de sistemas oceânicos. O método e formulado por dois problemas de valor inicial de contorno definidos para os potenciais de velocidade e aceleração, sendo este ultimo utilizado para calcular de maneira acurada a derivada temporal do potencial de velocidades. Testes de verificação são realizados para a solução dos problemas de difração, radiação e de corpo livre para flutuar. Uma vez verificada, a ferramenta e aplicada em dois problemas multicorpos considerados no estado-da-arte em termos de modelagem hidrodinâmica utilizando BEM. O primeiro trata do problema envolvendo duas embarcações atracadas a contrabordo. Este é um caso no qual os códigos baseados na teoria de escoamento potencial são conhecidos por apresentarem dificuldades na determinação das soluções, tendendo a superestimar as elevações de onda no vão entre as embarcações e a apresentar problemas de convergência numérica associados a efeitos ressonantes de onda. O problema e tratado por meio do método de damping lid e a convergência das series temporais e investigada avaliando diferentes níveis de amortecimento. Os resultados são comparados com dados experimentais. O segundo problema se refere a analise de sistemas multicorpos com grandes deslocamentos relativos. Neste problema, ferramentas no domínio da frequência nao podem ser utilizadas, por considerarem apenas malhas fixas. Deste modo, o presente método e estendido para considerar um gerador de malhas de paineis e um algoritmo de interpolação de ordem alta no laco de tempo do código, possibilitando a mudança de posições relativas entre os corpos durante a simulação. Os resultados são comparados com dados de experimentos executados especificamente para fins de verificação do código, apresentando uma boa concordância. De acordo com o conhecimento do autor, esta e a primeira vez que certas questões relativas a modelagem numérica destes dois problemas multicorpos são relatadas na literatura especializada em hidrodinâmica computacional. / The development of a time domain boundary elements method (BEM) based on Rankine\'s sources for linear seakeeping analysis of offshore systems is here addressed. The method is formulated by means of two Initial Boundary Value Problems defined for the velocity and acceleration potentials, the latter being used to ensure an accurate calculation of the time derivatives of the velocity potential. Verification tests for solving the difraction, radiation and free floating problems are presented. Once verified, the code is applied for two complex multi-body problems considered to be in the state-of-the-art for hydrodynamic modelling using BEM. The first is the seakeeping problem of two ships arranged in side-by-side, a problem in which all potential flow codes are known to have a poor performance, tending to provide unrealistic high wave elevations in the gap between the vessels and to present numerical convergence problems associated to resonant effects. The problem is here addressed by means of a damping lid method and the convergence of the time series with different damping levels is investigated. Results are compared to data measured in an experimental campaign. The second problem refers to the analysis of multi-body systems composed of bodies undergoing large relative displacements. This is a case that cannot be properly analyzed by frequency domain codes, since they only consider fixed meshes. For this application, the present numerical method is extended to consider a panel mesh generator in the time loop of the code, enabling the change of body relative positions during the computations. Furthermore, a higher order interpolation algorithm designed to recover the solutions of a previous time-step was also implemented, enabling the calculations to progress with reasonable accuracy in time. The numerical results are compared to data of experimental tests designed and executed for verification of the code, and presented a very good agreement. To the author\'s knowledge, this is the first time that certain issues concerning the numerical modelling of these two complex multi-body problems are reported in the literature specialized in hydrodynamic computations.

A falta de um membro, devido a doenças, más-formações ou traumas, impacta enormemente na vida de um indivíduo. Para que o mesmo possa realizar Atividades de Vida Diária (AVD), sem drásticas limitações, faz-se necessário o desenvolvimento de próteses e cientes. Para auxiliar no projeto de tais produtos, este trabalho visa criar e solucionar um modelo de sistema dinâmico capaz de simular o comportamento de joelhos prostéticos. A m de alcançar tal objetivo, foi estudada a biomecânica da marcha humana, além dos tipos de amputações existentes e seus impactos na mesma. Buscou-se também estudar os principais componentes de próteses existentes atualmente no mercado, além de suas geometrias básicas. Após de nir-se um modelo simpli cado que representasse os componentes protéticos e as partes remanescentes do corpo, foram buscadas métodos de solução disponíveis para tal sistema. Baseado nos estudos encontrados em uma revisão bibliográ ca, foi de nida uma metodologia de solução numérica de sistemas multi-corpos. Durante o trabalho, surgiu a necessidade de representar forças de contato entre corpos rígidos, e foram incluídas soluções de atuais teorias do assunto. Essas metodologias foram então empregadas para a construção de um algoritmo capaz de solucionar o sistema proposto. Depois de resolvido o sistema, os valores encontrados para as variáveis cinéticas foram comparados com valores obtidos por uma simulação numérica utilizando dois programas computacionais comercias, cujas fundamentações teóricas utilizam diferentes métodos de solução. A comparação das diferenças entre os resultados apontou similaridade entre o algoritmo e os programas utilizados, mas com a necessidade de validação do método através de ensaio mecânico. Ao nal foram sugeridas ideias para trabalhos futuros. / The lack of a member due to diseases, malformations or trauma, greatly impacts the life of an individual. In order to perform Activities of Daily Living (ADL) without drastic limitations, it is necessary to develop e cient prosthetic devices. To assist the design of such products, this work aims to create and solve a dynamic system model to simulate the behavior of prosthetic knees. In order to achieve this goal, the biomechanics of human gait was studied, as well as the existing types of amputation and their impact on human gait. The main components of existing prosthetic devices, currently on the market, were identi ed, as well as its basic geometries. After de ning a simpli ed model able to incorporate the prosthetic components and the individual remaining body parts, an available methodology for the solution of such a system was prospected. Based on the studies found in the currently literature of multibodysystems, a numerical solution methodology for has been set. During the work, the need to represent contact between parts occurred, leading to the implementation of currently theories of contact forces for rigid bodies. These methodologies were then used to construct an algorithm for solving the proposed system. After the system has been solve, the values found for the kinetic variables were compared with those obtained by numerical simulations using two commercial softwares, whose theoretical foundation used di erent solution methodology. Comparing the di erences in results of these simulations, it was revealed a similar behavior between the algorithm and the commercial programs, but with the need of an experimental test, for truly validation of the method. At the end of this work, ideas for future improvement were suggested.

De nos jours, la radiographie est l'examen de référence pour le suivi des pathologies de la colonne vertébrale. La radiographie bi-planaire permet de plus, par reconstruction 3D, d’évaluer la configuration spatiale de la colonne vertébrale. Cependant, les expositions radiographiques répétées entrainent une augmentation du risque de cancer. Une solution pour réduire les doses de radiation peut être de remplacer certains examens radiographiques par une mesure de la surface du dos. Cette mesure non-invasive permet, entre autre, d’obtenir un grand nombre de paramètres cliniques utiles pour le diagnostic et le suivi des pathologies. Cette mesure permet également d’estimer la configuration du rachis si l’on met en place une modélisation biomécanique adaptée. Le travail réalisé dans cette thèse consiste à développer et mettre en oeuvre une telle modélisation basée sur les informations personnalisées à la fois internes et externes. Le dispositif Biomod 3S (développé par la société AXS Ingénierie, Bordeaux) offre la possibilité d’une acquisition simultanée de radiographies et de surfaces du dos par franges de Moiré. Cette acquisition sur une quinzaine de sujets scoliotiques (des Hôpitaux Universitaires de Bordeaux) a notamment permis d’évaluer les relations entre plusieurs paramètres 3D internes (e.g., la rotation axiale des vertèbres) et de nombreux paramètres 3D externes (e.g., les gibbosités et flèches). Cette acquisition simultanée permet également de prédire la nouvelle configuration de la colonne vertébrale dans une seconde posture où seule la mesure de surface du dos est effectuée. Pour cela, la modélisation en multi-corps rigides articulés qui a été développée (sous Scilab) utilise (a) la géométrie personnalisée de la colonne vertébrale reconstruite dans la première posture et (b) des contraintes issues de la mesure de la surface du dos dans les deux postures (e.g., position de C7). Le modèle a pu être validé sur une dizaine de sujets sains dont la colonne vertébrale et la surface du dos ont été reconstruits en 3D dans différentes positions (debout, penché en avant) à l’aide d’un IRM positionnel. Le modèle a pu également être exploité sur quelques sujets pathologiques. Ce travail, qui a exploré et exploité de nombreuses informations 3D internes et externes, ouvre des perspectives pour le diagnostic et le suivi non-invasif des pathologies de la colonne vertébrale / Nowadays, radiography is the gold standard for the follow up of spinal pathologies. Furthermore, bi-planar radiography allows the assessment of vertebrae configuration, by 3D reconstruction. However, multiple radiographic examinations during childhood and adolescence increase the risk of breast cancer among women. To reduce radiation doses, some radiographic assessments could be replaced by the back surface evaluation. This kind of non-invasive procedure allows for acquisition of many clinical parameters useful for spinal pathologies diagnosis and follow-up. Moreover, with an appropriate biomechanical model, the back surface measurements could be used to estimate the spine configuration. The aim of this thesis is to develop and implement such a model based on personalized internal and external data. The Biomod 3S device has been developed by the company AXS MEDICAL SAS, Bordeaux, France. It offers the possibility of simultaneous acquisitions of X-rays and Moiré fringes to obtain 3D reconstructions of the spine and the back surface. Such acquisitions on fifteen scoliotic subjects have enabled us to assess several relationships between internal 3D parameters (for example axial rotation of vertebrae) and external 3D parameters (for example rib hump). The spine configuration and the back surface obtained during this acquisition will also be used as initial position to develop (with Scilab) the multi-body model. The other data used by the model are the back surface in a second position and constraints obtained from the surface in both positions (for example displacement of C7 vertebra). The model has been validated on nine healthy subjects, whose 3D spine and back surface were reconstructed in several positions (standing, leaning forward, sitting) from MRI acquisitions. Moreover, the model has been operated on a pathological subject. This work has explored and utilized many spine and back surface information and leads the way to non-invasive diagnosis and follow-up of spinal disease

In slide chain conveyors vibrations often appear. These cause detrimental effects in conveying process and decrease the durability of chains. To study the vibrations, a multi-body simulation model has been developed, in which rheological elements are used to represent the dynamic effects. A focus was determining material values required for the model. These were identified by hysteresis experiments. Finally, the model was verified by comparing simulation results with measurements in the conveyor system. / In Gleitkettenfördersystemen werden häufig Schwingungen der Kette beobachtet, die einen zuverlässigen Förderprozess auf diesen Anlagen beeinträchtigen können. Ziel dieser Arbeit ist die Erforschung dieser Schwingungen mit Hilfe von einem Mehrkörpersimulationsmodell. Zur Abbildung der dynamischen Effekte wurden rheologische Elemente verwendet. Ein Schwerpunkt lag bei der Ermittlung der für das Modell notwendigen Materialkennwerte. Diese wurden mit Hilfe von Hystereseversuchen herausgefunden. Zum Schluss wurde das Modell über einen Abgleich zwischen Simulation und Messung im Fördersystem verifiziert.

The diploma thesis deals with the issue of force effects in the three-point hitch links in the multi-body environment depending on the forces ejected to the plow during the plowing. Through simulations, force responses under the tractor wheels are also identified for various conditions. The work is also analyzed for the impact of the upper link attachment relative to the tractor output parameters.

For dimensions of crankshaft drive Zetor engine, which is solve by a helical gear drive will be created a dynamic model in MBS (multi body system) and perform analyses. The same way will be created a dynamic model for a spur gear system. In conclusion will be confrontation both of these drive solutions.

This work deals with virtual designing of ball screw drives of CNC machine by modern software tools to approximate evaluation of dynamic behavior of real system. Realized multi body system of thrust axes actuated by synchronous motor is analyzed and after that are designed elements of control used for accuracy positioning of table.

This master's thesis deals with the simulation assessment of axis X damping possibilities of Heavy Machine Tools. CAD model has been provided by company TOSHULIN a.s. In the thesis, there is described modelling of axis X as multi body system consisting of rigid and flexible bodies. The main goal is to create simplified model and get the information for strategic decision of manufacturer about damping possibilities of axis X. For the solution has been used several software products: SolidWorks 2013 - for simplifying the CAD models, Ansys 14.5. for modelling od flexible bodies, MSC.Adams for modelling multi body systems and Matlab 2012 for data processing and optimization.