O Método das Densidades de Força (MDF), proposto primeiramente por Linkwitz (1971) e depois por Scheck (1974), é uma alternativa conveniente para encontrar configurações de redes de cabos e membranas, uma vez que fornece geometrias viáveis com uma única análise linear de equilíbrio. O Método das Densidades de Força Natural (MDFN) é uma extensão do MDF para busca de formas de estruturas de membranas, que preserva a linearidade do método original e supera suas dificuldades em lidar com malhas irregulares. Foi primeiramente sugerido por Pauletti em 2006, baseado no elemento triangular de membrana introduzido por Argyris em 1974. O Método tem sido aplicado com sucesso em vários projetos. O MDFN original requer o uso de malhas compostas exclusivamente por elementos triangulares. Esta dissertação apresenta uma extensão do método para elementos quadrangulares, considerando um elemento composto por quatro subelementos triangulares. Mesmo que a ideia básica seja muito simples, algumas dificuldades surgem do fato de que nesta abordagem, o elemento de quatro nós pode não conter todos os nós em um mesmo plano, especialmente no caso de superfícies anticlásticas, sendo que não existe um campo de tensões bem definido para o interior do elemento. O trabalho compara alguns resultados obtidos com malhas exclusivamente triangulares, como requerido pelo método original, com os resultados obtidos com o elemento quadrangular proposto, discutindo a forma de combinar as tensões dos subelementos triangulares para originar as tensões atuantes no elemento quadrangular. Os modelos obtidos no MDFN são inseridos no programa Ansys, e os resultados são comparados para analisar a viabilidade da solução proposta e dos resultados obtidos por meio desta. / The Force Density Method (FDM), first proposed by Linkwitz(1971) and after by Scheck(1974), is a convenient alternative for finding configurations of cable nets and membranes, since it provides viable geometries in a single linear equilibrium analysis. The Natural Force Density Method (NFDM) is an extension of the FDM to the shape finding of membrane structures, which preserves the linearity of the original method and overcomes the difficulties of the original method to deal with irregular meshes. It was first suggested by Pauletti in 2006, based on a triangular membrane element introduced by Argyris in 1974. The method has been successfully applied to several design cases. The original NFDM required the use of meshes composed exclusively of triangular elements. This text presents an extension of the method to quadrangular elements, considering an equivalent assemblage of flat triangular elements. Even if the basic idea is very simple, some difficulties arise from the fact that in this approach, the quadrangular element can have a non-flat configuration, especially in the anticlastic shape, and there is not a know stress field into the interior of the element. The text compares several results obtained with fully triangulated meshes, as required by the original NFDM, to those obtained with the proposed quadrangular element, discussing the different strategies that have been explored to map stresses from the internal triangular mesh to the four nodes of the element. The models obtained in the NFDM are inserted in software Ansys and the results compared to approve the solution and the results obtained.

O Método das Densidades de Força (MDF), proposto primeiramente por Linkwitz (1971) e depois por Scheck (1974), é uma alternativa conveniente para encontrar configurações de redes de cabos e membranas, uma vez que fornece geometrias viáveis com uma única análise linear de equilíbrio. O Método das Densidades de Força Natural (MDFN) é uma extensão do MDF para busca de formas de estruturas de membranas, que preserva a linearidade do método original e supera suas dificuldades em lidar com malhas irregulares. Foi primeiramente sugerido por Pauletti em 2006, baseado no elemento triangular de membrana introduzido por Argyris em 1974. O Método tem sido aplicado com sucesso em vários projetos. O MDFN original requer o uso de malhas compostas exclusivamente por elementos triangulares. Esta dissertação apresenta uma extensão do método para elementos quadrangulares, considerando um elemento composto por quatro subelementos triangulares. Mesmo que a ideia básica seja muito simples, algumas dificuldades surgem do fato de que nesta abordagem, o elemento de quatro nós pode não conter todos os nós em um mesmo plano, especialmente no caso de superfícies anticlásticas, sendo que não existe um campo de tensões bem definido para o interior do elemento. O trabalho compara alguns resultados obtidos com malhas exclusivamente triangulares, como requerido pelo método original, com os resultados obtidos com o elemento quadrangular proposto, discutindo a forma de combinar as tensões dos subelementos triangulares para originar as tensões atuantes no elemento quadrangular. Os modelos obtidos no MDFN são inseridos no programa Ansys, e os resultados são comparados para analisar a viabilidade da solução proposta e dos resultados obtidos por meio desta. / The Force Density Method (FDM), first proposed by Linkwitz(1971) and after by Scheck(1974), is a convenient alternative for finding configurations of cable nets and membranes, since it provides viable geometries in a single linear equilibrium analysis. The Natural Force Density Method (NFDM) is an extension of the FDM to the shape finding of membrane structures, which preserves the linearity of the original method and overcomes the difficulties of the original method to deal with irregular meshes. It was first suggested by Pauletti in 2006, based on a triangular membrane element introduced by Argyris in 1974. The method has been successfully applied to several design cases. The original NFDM required the use of meshes composed exclusively of triangular elements. This text presents an extension of the method to quadrangular elements, considering an equivalent assemblage of flat triangular elements. Even if the basic idea is very simple, some difficulties arise from the fact that in this approach, the quadrangular element can have a non-flat configuration, especially in the anticlastic shape, and there is not a know stress field into the interior of the element. The text compares several results obtained with fully triangulated meshes, as required by the original NFDM, to those obtained with the proposed quadrangular element, discussing the different strategies that have been explored to map stresses from the internal triangular mesh to the four nodes of the element. The models obtained in the NFDM are inserted in software Ansys and the results compared to approve the solution and the results obtained.

京都大学 / 新制・課程博士 / 博士(工学) / 甲第23873号 / 工博第4960号 / 新制||工||1775(附属図書館) / 京都大学大学院工学研究科建築学専攻 / (主査)教授 大崎 純, 教授 池田 芳樹, 准教授 藤田 皓平 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DFAM

京都大学 / 新制・課程博士 / 博士(工学) / 甲第23153号 / 工博第4797号 / 新制||工||1750(附属図書館) / 京都大学大学院工学研究科建築学専攻 / (主査)教授 大崎 純, 教授 竹脇 出, 准教授 倉田 真宏 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DFAM

<p>Predmet ove doktorske disertacije je definisanje metoda i procedure<br />za procenu veka konstrukcije tornja postrojenja za istraživanje nafte<br />i gasa. Dati su rezultati eksperimentalnih istraživanja radi analize<br />otpornosti prema prslinama pri statičkom i pri promenljivom<br />opterećenju eksploatisanog i novog materijala konstrkcije tornja<br />postrojenja za istraživanje nafte i gasa.</p> / <p>The topic of this doctoral dissertation is definition methods and proceduries for an<br />analysis of an assessmen life of construction derrick plant for investigation oil<br />and gas. The results of experimental investigation performed for the analysis<br />of crack resistance under static and under variable loading eksploatacion<br />and new of materials of construction derrick plant for investigation oil and gas.</p>

Esta dissertação trata das metodologias de busca da forma (form finding) aplicadas a sistemas estruturais de cabos de aço retesados, destacando aquelas que foram amplamente utilizadas pelo arquiteto alemão Frei Otto: modelos físicos de correntes e molas e o método numérico das Densidades de Forças. O método de Relaxação Dinâmica, as soluções gráficas, modelos de correntes e pesos, assim como os de películas de sabão, também foram analisados de modo breve. O trabalho objetivou examinar as singularidades de tais metodologias de concepção estrutural. Tarefa que foi realizada, em primeiro lugar, por meio da revisão da literatura crítica acerca do emprego e do desenvolvimento das tecnologias de sistemas de cabos de aço retesados. Em seguida, partindo das obras examinadas, simulou-se quatro situações de projetos de estruturas retesadas, que foram executadas através da construção de modelos físicos e numéricos. As maquetes físicas foram construídas por meio de modelos de correntes e molas, e tiveram o intuito de fornecer dados de ordem qualitativa acerca do comportamento estrutural. As representações digitais, por sua vez, foram desenvolvidas com o método das Densidades de Forças, por intermédio do software Rhinoceros e do seu plug-in Grasshopper. Elas permitiram avaliar critérios quantitativos, como precisão, conformidade e eficiência. Por fim, os resultados obtidos através dos modelos físicos foram comparados aos experimentos digitais, com o intuito de analisar as especificidades de cada alternativa, buscando compreender as vantagens e limites de suas aplicações práticas. / This work presents two form finding methodologies applied to steel cable structures, physical model with springs and Force Density Method, both widely used by Frei Otto and his team. Other techniques are also studied; e.g. chains models, soap film models, graphic solutions and Dynamic Relaxation Method. Firstly, the historical developments of form-active structures were listed, together with a series of projects that became technical and conceptual milestones in the Brazilian and international scenario. Secondly, the process of manufacturing two form finding models is reported, one physical spring model and one numerical Force Density Method performed with computer-aided design (CAD) application Rhinoceros and its plug-in Grasshopper. Both models were carried out aiming to investigate their advantages and limits. Lastly, four experimental case studies were selected, based on projects studied in the first phase of this work. Diverse typologies and boundary conditions were chosen for comparative evaluation of the qualitative physical model and the numerical one. The appraisal of the modeling techniques\' efficiency and robustness levels was done through analysis of the differences between nodes\' coordinates and bars\' lengths obtained through each method.

Les échangeurs de chaleur sont des dispositifs largement utilisés dans divers systèmes énergétiques. Les présents travaux de recherche s’intéressent à la conception des échangeurs bi-fluides monophasiques par des méthodes d’optimisation topologique. A la différence des méthodes conventionnelles d’optimisation de taille et de forme, ces méthodes permettent une liberté de conception plus grande et ne nécessitent aucune définition a priori de la géométrie de l’échangeur. L’optimisation topologique bi-fluide consiste donc à réorganiser librement deux fluides et un solide dans un domaine d’optimisation. Les deux fluides doivent connecter les zones d’entrée aux zones de sortie en évitant tout mélange entre fluides. Dans le cadre de cette thèse, la méthode SIMP « Solid Isotropic Material with Penalization » a été utilisée. Divers algorithmes constituant cette méthode ont été formulés et testés : la méthode des volumes finis a été choisie pour la résolution du problème direct, la méthode des adjoints discrets pour le calcul du gradient de la fonction objectif et enfin la méthode des asymptotes mobiles pour guider l’optimisation numérique. Les résultats des simulations ont permis de définir différentes formes d’échangeurs de chaleur en 2D. On a fait varier le nombre d’entrées et de sorties ainsi que les débits de chaque fluide. Les travaux montrent la capacité de cette méthode à concevoir des formes innovantes d’échangeur de chaleur. La thèse établit ainsi les bases d’une nouvelle méthode de conception des échangeurs de chaleur. / Heat exchangers are devices widely used in various energy systems. The present research work focuses on the design of single-phase bi-fluid heat exchangers by using topology optimization methods. Unlike conventional size and shape optimization methods, topology optimization methods allow greater design freedom and do not require prior definition of the exchanger geometry. Hence, bi-fluid topology optimization consists of freely reorganizing two fluids and one solid in the optimization domain. Both fluids should connect inlet sections to outlet sections while avoiding any fluid mixture inside the domain. SIMP method “Solid Isotropic Material with Penalization” is used within the framework of this thesis. This method includes various algorithms that were formulated and tested : finite volume method was selected for solving the direct physical problem, discrete adjoint method was used for the calculation of the gradient of the objective function, and the method of moving asymptotes was adopted to guide the numerical optimization. Simulation results have allowed the definition of various heat exchanger shapes in 2D. The number of inlet and outlet as well as the flow rates of each fluid have been varied. The works have shown the ability of this method to design innovative shapes of heat exchangers. Hence, the thesis establishes the basis of a new design methodology of heat exchangers.

This diploma thesis deals with methods for design of membrane structure shape. Main purpose is to analyze topology designs by Formfinder and Rhinoceros in RFEM and compare results. Test a possibility of designing shape by software RFEM.

L’Optimisation Topologique (OT) est un sujet en plein essor qui suscite l’intérêt de nombreux chercheurs depuis ces deux dernières décennies dans le domaine de l’électromagnétisme. L’OT représente une méthode très attrayante et originale car elle permet de trouver des structures innovantes sans aucun a priori. Ce travail de thèse est orienté vers l’OT des dispositifs électromagnétiques en approfondissant plusieurs aspects du sujet. Tout d’abord, un outil d’OT est développé et testé, à partir des outils existant au L2EP. En effet, l’OT requiert un outil d’éléments finis et un outil d’optimisation devant être couplés. Une méthodologie originale d’OT fondée sur les principes de la Méthode de Densité est développée et testée. Un cas test académique est utilisé afin de tester et valider le couplage des outils et la méthodologie. Une approche visant à prendre en compte le comportement non-linéaire des matériaux ferromagnétiques avec nos outils OT est également mise en place. Ensuite, la méthode est appliquée afin d’optimiser un électroaimant en 3 dimensions, représentant un cas test proche de la réalité. Ce cas test permet de comparer les résultats avec un comportement linéaire et non-linéaire des matériaux. Diverses topologies sont présentées, par rapport aux différentes formulations du problème. Par la suite, la méthodologie est appliquée à un dispositif électromagnétique plus complexe : une Génératrice Synchrone à Pôles Saillants. Cet exemple nous permet de voir comment la définition du problème d’optimisation peut grandement affecter les résultats d’OT. Quelques topologies sont présentées, et leur faisabilité est analysée / Topology Optimisation (TO) is a fast growing topic that has been sparking the interest of many researchers for the past two decades in the electromagnetic community. Its attractiveness lies in the originality of finding innovative structures without any layout a priori. This thesis work is oriented towards the TO of electromagnetic devices by elaborating on various aspects of the subject. First of all, a tool for TO is developed and tested, based on the ‘home-made’ tools available at the L2EP. As TO requires a FE and an optimisation tool working together, a coupling is done using both. Furthermore, a TO methodology is developed and tested, based on the Density Method. An academic cubic test case is used to carry out all the tests, and validate the tools and methodology. An approach is also developed to consider the nonlinear behaviour of the ferromagnetic materials with our TO tools. Afterwards, the methodology is applied to a 3D electromagnet, which represents a more real test case. This test case also serves to compare the results with linear and nonlinear behaviour of the materials used. Various topologies are presented, for different problem formulations. Subsequently, the methodology is applied to a more complex electromagnetic device: a Salient Pole Synchronous Generator. This example allows us to see how the problem definition can largely affect TO results. Some topologies are presented and their viability is discussed