Aujourd'hui, dans de nombreux champs d'applications, de plus en plus de problèmes d'ingénierie demandent d'avoir une évaluation précise et efficace de quantités d'intérêt.Très souvent, ces quantités dépendent de la solution d'une équation aux dérivées partielles (EDP) paramétrée où les paramètres -- physiques ou géométriques -- sont les entrées du modèle et les quantités d'intérêt -- valeurs moyennes -- en sont les sorties.Les techniques de réduction d'ordre, notamment la méthode des bases réduites qui est la méthode utilisée tout au long de ces travaux,permettent de répondre à ces demandes.Dans cette thèse nous nous intéressons à la mise en place d'un framework en C++, supportant le calcul parallèle, permettant d'appliquer la méthode des bases réduites à des problèmes multi-physiques non-linéaires tels queles problèmes de convection naturelle (couplage fluide-thermique), ou encore la modélisation d'aimants de type résistifs à hauts champs (nous nous limitons au couplage thermo-electrique) aboutissant à une étude sur la quantification d'incertitude.La méthode des bases réduites s'appuie naturellement sur une approximation obtenue via la discrétisation élément fini du problème à traiter. Pour cela nous utilisons la librairie de calcul Feel++, spécialisée dans la résolution d'EDPs.Nous nous intéressons également aux problèmes de type multi-échelles.La particularité de ces problèmes est de manipuler un ensemble de phénomènes mettant en jeu des échelles différentes, comme c'est le cas par exemple lorsque nous considérons un écoulement en milieu poreux.La méthode des éléments finis multi-échelles permet d'avoir le comportement "global", associé aux grandes échelles, de la solution du problème sans devoir le résoudre sur les petites échelles.Nous proposons une nouvelle construction des fonctions de base élément fini multi-échelles basée sur la méthode des bases réduites. / Today, in many fields of applications, more and more engineering problems require to have an accurate and efficient evaluation of quantities of interest.Often, these quantities depend on a partial differential equation (PDE) parameterized solution -- physical or geometrical -- are the model inputs and the quantities of interest -- average values ​​-- are the outputs.The order reduction techniques, including reduced basis method which is the method used throughout this work, can meet these demands.In this thesis, we focus on the establishment of a framework in C ++ supporting parallel computing, which applies the reduced basis method to nonlinear multiphysics problems such as problems with natural convection (fluid-thermal coupling) or the high field resistive magnet modeling (we limit ourselves to thermo-electric coupling) leading to a study on the uncertainty quantification.The reduced basis method naturally relies on an approximation obtained using the finite element discretization of the problem being treated. For this, we use the Feel ++ computation library specialized in PDE resolution.We are also interested by multiscale problems.The particularity of these problems is to manipulate a set of phenomena involving different scales, as this is the case for example when we consider a flow in porous media.The multiscale finite element method allows having a "global" behavior, linked with large scales, of the problem solution without solving it on small scales.We propose a new construction of multiscale finite element basis functions based on the reduced basis method.

Made available in DSpace on 2014-06-11T19:27:14Z (GMT). No. of bitstreams: 0 Previous issue date: 2009-02-05Bitstream added on 2014-06-13T20:55:57Z : No. of bitstreams: 1 alegre_dm_me_ilha.pdf: 954109 bytes, checksum: 3e5701b2e8747b004da37b4ca12ca513 (MD5) / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / O presente trabalho apresenta a metodologia dos observadores de estado para a detecção e localização de falhas em sistemas contendo elementos finitos de placas de Kirchoff. Tal metodologia consiste na montagem de um banco de observadores de estado, o qual é capaz de detectar falhas presentes no sistema, além de localizar o componente danificado e a porcentagem de falha. As matrizes de ganho dos observadores de estado foram determinadas por dois métodos distintos: o método Regulador Quadrático Linear e das Desigualdades Matriciais Lineares. Nesse trabalho, foi utilizada uma placa plana fina montada sobre um sistema de suspensão similar ao de uma plataforma veicular, representando um veiculo simplificadamente. A modelagem da plataforma utilizada foi realizada mediante a utilização do método dos elementos finitos, considerando-se diferentes números de elemento no modelo. O tipo do elemento finito utilizado foi o elemento de placa de Kirchoff. Adicionalmente foi analisada a influência de elementos de controle junto à suspensão da plataforma no movimento da mesma. O modelo considerado, juntamente com os programas computacionais desenvolvidos, foram utilizados para a simulação do movimento da plataforma. Na literatura, normalmente são apresentadas simulações para o movimento de apenas ¼ do veículo, neste trabalho, no entanto, os programas desenvolvidos podem simular o movimento do veiculo inteiro. Foram realizadas simulações computacionais para o movimento da plataforma com a finalidade de se detectar e localizar falhas introduzidas nos elementos da suspensão e também foram realizados testes experimentais, com os mesmos fins. Mediante tais testes (teóricos e experimentais) verificou-se a eficácia da metodologia desenvolvida e a sua principal limitação: o número de elementos finitos considerado no modelo relacionado com o número de medidas efetuadas e a observabilidade do sistema. / This work presents the state observers methodology for the detection and location of faults in systems containing finite elements of plate of Kirchoff. This methodology consists in the assembly of a bank of state observers, which is capable of detecting faults in the system, and also to locate the damaged component and the percentage of failure. The gain matrices of the state observers were determined by two different methods, these are the method Linear Quadratic Regulator and the Linear Matrix Inequalities. In this work was considered a thin plate mounted on a suspension system that is similar to a vehicle platform, representing a vehicle in a simplified way. The modeling of the platform used was performed by using the finite element method, considering different numbers of element in the model. The finite element used was the Kirchoff’s plate element. It was also studied the influence of elements of control, together with the suspension of the platform, into its movement. The model considered, together with the developed computational programs, were used to simulate the movement of the platform. In the literature, usually are presented simulations for the movement of only ¼ of the vehicle, in this work, the developed programs can simulate the movement of the entire vehicle. It was realized computational simulations for the movement of the platform in order to detect and locate faults introduced in the elements of the suspension and experimental tests were also conducted with the same purpose. Through such tests (theoretical and experimental) it was verified the effectiveness of the developed methodology and its major limitation: the number of finite elements considered in the model related with the number of outputs and the observability of the system.

A indústria aeronáutica vem promovendo avanços tecnológicos em velocidades crescentes, para sobreviver em mercados extremamente competitivos. Neste cenário, torna-se imprescindível o uso de ferramentas de projeto que agilizem o desenvolvimento de novas aeronaves. Os atuais recursos computacionais permitiram um grande aumento no número de ferramentas que auxiliam o trabalho de projetistas e engenheiros. O projeto de uma aeronave é uma tarefa multidisciplinar por essência, o que logo incentivou o desenvolvimento de ferramentas computacionais que trabalhem com várias áreas ao mesmo tempo. Entre elas se destaca a otimização multidisciplinar em projeto, que une métodos de otimização à modelos matemáticos de áreas distintas de um projeto para encontrar soluções de compromisso. O presente trabalho introduz a otimização multidisciplinar em projeto (Multidisciplinary Design Optimization - MDO) e discorre sobre algumas aplicações possíveis desta metodologia. Foi realizada a implementação de um sistema de MDO para o projeto de asas flexíveis, considerando restrições de aeroelasticidade dinâmica e massa estrutural. Como meta, deseja-se encontrar distribuições ideais de rigidezes flexional e torcional da estrutura da asa, para maximizar a velocidade crítica de flutter e minimizar a massa estrutural. Para tanto, foram utilizados um modelo dinâmico-estrutural baseado no método dos elementos finitos, um modelo aerodinâmico não-estacionário baseado na teoria das faixas e nas soluções bidimensionais de Theodorsen, um modelo de previsão de flutter que utiliza o método K e, por fim, um otimizador baseado no método de algoritmos genéticos (AGs). São apresentados os detalhes empregados em cada modelo, as restrições aplicadas e a maneira como eles interagem ao longo da otimização. É feita uma análise para a escolha dos parâmetros de otimização por AG e em seguida a avaliação de dois casos, para verificação da funcionalidade do sistema implementado. Os resultados obtidos demonstram uma metodologia eficiente, que é capaz de buscar soluções ótimas para problemas propostos, que com devidos ajustes pode ter enorme valor para acelerar o desenvolvimento de novas aeronaves. / The aeronautical industry is always trying to speed up technological advances in order to survive in extremely competitive markets. In this scenario, the use of design tools to accelerate the development of new aircraft becomes essential. Current computational resources allow greater increase in the number of design tools to assist the work of aeronautical engineers. In essence, the design of an aircraft is a multidisciplinary task, which stimulates the development of computational tools that work with different areas at the same time. Among them, the multidisciplinary design optimization (MDO) can be distinguished, which combines optimization methods to mathematical models of distinct areas of a design to find compromise solutions. The present work introduces MDO and discourses on some possible applications of this methodology. The implementation of a MDO system for the design of flexible wings, considering dynamic aeroelasticity restrictions and the structural mass, was carried out. As goal, it is desired to find ideal flexional and torsional stiffness distributions of the wing structure, that maximize the critical flutter speed and minimize the structural mass. To do so, it was employed a structural dynamics model based on the finite element method, a nonstationary aerodynamic model based on the strip theory and Theodorsen’s two-dimensional solutions, a flutter prediction model based on the K method and a genetic algorithm (GA). Details on the model, restrictions applied and the way the models interact to each other through the optimization are presented. It is made an analysis for choosing the GA optimization parameters and then, the evaluation of two cases to verify the functionality of the implemented system. The results obtained illustrate an efficient methodology, capable of searching optimal solutions for proposed problems, that with the right adjustments can be of great value to accelerate the development of new aircraft.

Old concrete buttress dams are sensitive to cracking if exposed to large temperature variations. The cracks can make dams sensitive to failure, depending on the size and location of the cracks. These problems can be overcome by lowering the temperature variations and stabilizing the dams. Insulation walls can be built to lower the temperature variations, and the area inside the insulation wall can be climate controlled to ensure a constant temperature. Stabilizing measures could be installing tendons, anchoring monoliths to the foundation or to keep parts of the monolith together. However, the best way to make sure the dam is functioning as expected is to monitor the behavior of the dam through different sensors. The sensors should be connected to some kind of dam monitoring software, which can indicate whether the dam is going to fail in a near future. For this to work, some kind of alert and alarm values has to be determined. The main purpose for this project is to develop a finite element model that could be used to simulate the real behavior of a concrete buttress dam and predict the future behavior of the dam. This makes it possible to determine alert and alarm values for monitoring equipment installed on the dam. Some steps are necessary to be able to create a finite element model representing the real behavior and to predict the future behavior of a dam. A first step is calibration of the model against real measurements, and during the calibration process it is important to evaluate the predictions made. A second step is to determine the normal variation in the behavior of the dam. A last step is to define suitable alert and alarm values, where the alert values are based on the normal variation of the dam and the alarm values are based on failure analyses. The results show that it is possible to calibrate a finite element model with sufficient accuracy in order for it to be used for predictions of the dams behavior. The results show two failure modes of the concrete buttress dam which deviate from previous research, where post-tensioned tendons were not included. From the results, information is given about where to place sensors to be able to capture a failure, how well the finite element model is calibrated, and what the alarm values should be. Furthermore, the results show that the evaluation of predictions made in the calibration process is of utmost importance to achieve a model representing the real behavior. / Gamla betonglamelldammar är känsliga för sprickbildning om de utsätts för stora temperaturvariationer. Sprickor kan göra dammarna känsliga för brott, beroende på storlek och placering av sprickorna. Dessa problem kan övervinnas genom att sänka temperaturvariationerna och stabilisera dammarna. Isoleringsväggar kan byggas för att sänka temperaturvariationerna, och området innanför isoleringsväggen kan klimatkontrolleras för att säkerställa en konstant temperatur. Stabiliserande åtgärder skulle kunna vara att installera spännkablar, förankring av monoliten till berggrunden eller att hålla ihop delar av monoliten. Emellertid är det bästa sättet att se till dammen fungerar som förväntat för att övervaka beteendet hos dammen genom olika sensorer. Givarna borde anslutas till någon form av programvara för dammövervakning, som kan indikera om dammen kommer att gå till brott inom en snar framtid. För att detta ska fungera måste någon form av mjuka och hårda larmvärden bestämmas. Huvudsyftet för detta projekt är att skapa en finit elementmodell som kan användas för att simulera det verkliga beteendet hos en betonglamelldamm och förutsäga framtida beteende av dammen för att kunna bestämma mjuka och hårda larmvärden för vald övervakningutrustning på dammen. Några steg är nödvändiga för att kunna skapa en finit elementmodell som representerar det verkliga beteendet och göra det möjligt att förutsäga det framtida beteendet av en damm. Ett första steg är kalibrering av modellen mot riktiga mätningar och under kalibreringsprocessen är det viktigt att utvärdera predikterade värden. Ett andra steg är att bestämma den normala variationen av dammens beteende. Ett sista steg är att definiera lämpliga värden för mjuka och hårda larmvärden, där de mjuka värdena baseras på dammens normala variation och de hårda larmvärdena på brottsanalyser. Resultaten visar att det är möjligt att kalibrera en finit elementmodell med tillräckligt god noggrannhet att den kan användas för prediktering av dammens beteende. Resultaten visar två brottmoder av betonglamelldammen som skiljer sig från tidigare studier där spännkablar inte hade inkluderats. Från resultaten ges information om var sensorer ska placeras för att kunna fånga ett brott, hur väl finita elementmodellen kalibrerats, och vilka de mjuka och hårda larmvärdena bör vara. Dessutom visar resultaten att utvärderingen av predikteringar som gjorts i kalibreringsprocessen är av yttersta vikt för att uppnå en modell som representerar det verkliga beteendet.

No description available.

本研究では，有限要素法に基づく伝達経路解析手法および相互平均コンプライアンス手法に対する新たな評価方法を考案し，それら併用することで，強度・剛性などの設計要件を満足しながら軽量化・低振動化が可能なフレーム構造の開発に活用できる設計評価技術を開発した． / In this study, the author developed a new design evaluation technology that can reduce weight and vibration while satisfying design requirements such as strength and rigidity and be used for the development of a frame structure, by creating and cmbining new evaluation methods for transfer path analysis and mutual mean compliance based on finit element method. / 博士(工学) / Doctor of Philosophy in Engineering / 同志社大学 / Doshisha University

The design of back-anchored retaining walls in Sweden has traditionally not included global elastic instability of the retaining wall as a possible failure mode. Eurocode 3 part 5 (SS-EN 1993-5) requires design of steel structural members for retaining walls to assess the risk of buckling if the normal force exceeds 4 % of the critical buckling load of the retaining wall. The geological conditions in Eastern Sweden are characterized by the intersection of very hard Precambrian rock and very soft Holocene clays. Thus often ground anchors anchored in rock at a 30-50 degree angle to the vertical plane are used to support retaining walls, resulting in a very high utilization of the ground anchor and a significant normal force in the retaining wall. The threshold value for buckling risk is consequently frequently exceeded and the specific failure mode, of global buckling, is often limiting the use of the structural members in practical design. The buckling load can either be calculated using Euler’s second or third buckling mode, or by modelling the soil-structure interaction by a suitable model. Since no such model is specified in the code, the aim of this thesis was to develop a model which takes into account the stabilizing effect of the soil for the calculation of the buckling force and to model the soil-structure interaction with a beam-spring model connected to Winkler springs. The model simulations show that the soil has a significant influence on the critical load, especially when the retaining wall base is driven to depths greater than 2 meters below excavation depth. The model simulations suggest that higher utilization, with up to 4 times greater critical load, of the steel members is possible for some specific cases and an idealized design factor is also elaborated. / Dimensioneringen av bakåtförankrade spontväggar har traditionellt sett i Sverige inte tagit hänsyn till risken för global knäckning. I och med införandet av Eurokod 3 kapitel 5 (SS-EN 1993-5) som styrande dokument vid dimensionering av sponter måste risken för knäckning nu mera beaktas när normalkraften överstiger 4 % av den kritiska knäckningslasten. De geologiska förhållandena i de östra delarna av Sverige, med lösa leror som täcker hårt berg, leder till att bakåtförankrade sponter med brant lutande stag ofta används. Detta leder till en hög utnyttjandegrad av ankaret och också stora normalkrafter i sponten, vilket leder till att knäckning ofta blir dimensionerande brottmod för sponten. Metoden för att beräkna knäckningslasten kan enligt SS-EN 1993-5 göras med Eulers andra eller tredje knäckningsfall eller med en modell som tar hänsyn till jordens stabiliserande effekt. Idag finns ingen sådan numerisk modell att hitta i litteraturen, varför målet med detta arbete har varit att finna en lämplig modell för att ta hänsyn till jordens inverkan vid bestämning av knäckningslasten. För att modellera samverkan mellan jorden och sponten användes en balkmodell med Winkler fjädrar. Simuleringarna visar att jorden har en signifikant inverkan på den kritiska knäckningslasten, särskilt när nedslagsdjupet är större än 2 meter. Flera simulerade geometrier har gett drygt fyra gånger högre knäcklast jämfört med den knäcklast som erhålls om SS-EN 1993-5 följs. Om jorden tas hänsyn till i dimensioneringen av en spont skulle således slankare konstruktioner kunna användas.

High-Frequency Mechanical Impacts (HFMI) is a surface treatment technique utilized to introduce residual stresses and extend the service life of structures. This project primarily focuses on studying the life extension effects of HFMI on welded structures that have undergone fatigue and have existing cracks. This is of significant importance for the maintenance of structures jointed with welds, such as bridge structures. Therefore, this project selected welded components with lower fatigue strength in bridge structures as research specimens for analysis and testing.To simulate the conditions that bridges experienced over many years of usage, initial notches were prepared near the weld toes. A data acquisition and control system was developed to analyze crack propagation behavior, using NI devices to assess the pre-fatigue condition and control the fatigue testing machine. To understand the test results, fracture mechanics calculations and finite element simulations were applied for comparison.In conclusion, based on the experimental results, HFMI improves the life of welded structures with cracks. This demonstrates the feasibility of using HFMI for the maintenance of bridge welding structures and extending their service life. / HFMI (High-Frequency Mechanical Impacts) är en ytbehandlingsteknik som används för att införa restspänningar och förlänga livslängden hos strukturer. Detta projekt fokuserar främst på att studera effekterna av HFMI på svetsade strukturer som har genomgått utmattning och har befintliga sprickor. Detta är av stor betydelse för underhållet av strukturer som sammanfogas med svetsar, t.ex. brokonstruktioner. I detta projekt valdes därför svetsade komponenter med lägre utmattningshållfasthet i brokonstruktioner som forskningsexemplar för analys och provning.För att simulera de förhållanden som broar utsätts för under många års användning förbereddes initiala sprickor vid svetsfogarna. Ett datainsamlings och styrsystem utvecklades för att analysera sprickornas utbredning, med hjälp av NI-enheter för att bedöma tillståndet före utmattning och styra utmattningsprovningsmaskinen. För att göra de experimentella resultaten mer rimliga användes brottmekaniska beräkningar och finita elementsimuleringar för jämförelse.Slutsatsen är att HFMI, baserat på de experimentella resultaten, förbättrar livslängden avsevärt för svetsade strukturer med sprickor av djup mindre än 0.5 mm. Detta visar att det är möjligt att använda HFMI för underhåll av svetsade brokonstruktioner och förlänga deras livslängd.

Stator inter-turn short circuit (ITSC) faults are one of the common sources for induction machine failure affecting their reliable operation. In this thesis, a finite element (FE) model is developed to study the ITSC fault. The FE model is developed for a prototype induction machine that has the potential to emulate an ITSC fault in the stator. With the developed FE model of the prototype machine, a simulation study is performed to understand the behaviour of various electrical and magnetic quantities in time- and frequency-domain. The investigated quantities are potentially good signatures of the stator winding faults and they are therefore suitable to use in a condition monitoring system. The prototype machine with ITSC faults has been tested in an experimental setup and the results are compared to the simulation and also to analytical results. For the fault current it was found a good agreement between analytical results, FE simulations and experimental results. Moreover, the FE simulation results of the negative-sequence stator current amplitude present a minor mismatch with the analytical and experimental results. The reason for this mismatch is due to an inaccurate knowledge of the prototype machine geometrical parameters. / Kortslutning mellan varven i en asynkronmotors statorlindning (ITSC) är en av de vanligaste källorna för fel som påverkar dess drifttillförlitlighet. I detta examensarbete utvecklas en finit-element (FE) modell för att studera ITSC- fel. FE-modellen är utvecklad för en asynkronmotorprototyp som kan emulera ITSC-fel. Med den utvecklade modellen utförs en simuleringsstudie för att förstå beteendet hos olika elektriska och magnetiska egenskaper både i tids- och frekvensdomän. Dessa egenskaper är goda indikatorer av statorlindningsfel och kan därför med fördel användas i ett tillståndsövervakningssystem. Prototypmaskinen har testats experimentellt och de erhållna resultaten jämförs med FE-simuleringen och analysresultaten. Det analytiska resultatet, FEM- simuleringarna och den experimentella utvärderingen uppvisade god överrensstämmelse vad gäller felströmmen. Dock finns det en mindre avvikelse när det gäller amplituden hos statorströmmens negativa fasföljd. Orsaken till denna avvikelse är att prototypmaskinens geometri inte är helt känd.

在這篇論文中，我們將考慮2個具有初值及邊界值的非線性波方程。首先，考慮一個具有某種阻尼項 (強阻尼、 線性阻尼及非線性阻尼) 的積分--微分方程。我們利用 Fadeo-Galerkin及 Contraction Mapping Principle的方法來建立局部存在性和唯一性，並且使用 Nako 的不等式 ([40]) 來討論解的長時間存在 (global existence) 及漸進行為( asymptotic behavior) 。至於在解的有限時間爆增 (finite time blow-up) 方面，我們使用直接方法 ([33]) 來探討具有強阻尼及線性阻尼的問題。另一方面，我們利用能量法 (energy method) 來討論非線性阻尼問題的有限時間爆增現象。其次，我們考慮一個具有特殊邊界值的 Kirchhoff方程， 我們利用擾動的能量法 (perturbed energy method) ([56]) 來研究解的漸進行為，並且使用直接方法 ([33]) 來探討解的有限時間暴增問題。最後，我們提出一些與本文相關的有趣問題以作為未來的研究。 / In this thesis, we shall consider two initial-boundary value problems for nonlinear wave equations. First, we consider a nonlinear integro- differential equation with some kind of damping terms - the strong damping term or the linear damping term or the nonlinear damping term. We establish the existence and uniqueness of local solutions by using Faedo-Galerkin method and Contraction Mapping Principle. We shall discuss the asymptotic behavior of global solutions by using Nako’s inequality ([40]). Moreover, the blow-up properties of local solutions with non-positive initial energy and small positive initial energy for strong or linear damping case are obtained by using direct method ([33]). On the other hand, for the nonlinear damping case, we apply the energy method to deduce the blow-up of local solutions with negative initial energy, vanishing initial energy and small positive initial energy. The estimates of lifespan of solutions are also given in each case. Secondly, we shall consider an initial-boundary value problem for a wave equation of Kirchhoff type with a linear boundary damping term. The asymptotic behavior of global solutions is investigated by using perturbed energy method ([56]). Moreover, the blow-up phenomena with the initial energy being non-positive and positive and the estimates for the blow-up time are obtained by direct approach ([33]). Finally, a list of some interesting problems related to our model is posed for further research.