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Teorema de Riemann-Roch e aplicaçõesArruda, Rafael Lucas de [UNESP] 25 February 2011 (has links) (PDF)
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arruda_rl_me_sjrp.pdf: 624072 bytes, checksum: 23ddd00e27d1ad781e2d1cec2cb65dee (MD5) / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / O objetivo principal deste trabalho é estudar o Teorema de Riemann-Roch, um dos resultados fundamentais na teoria de curvas algébricas, e apresentar algumas de suas aplicações. Este teorema é uma importante ferramenta para a classificação das curvas algébricas, pois relaciona propriedades algébricas e topológicas. Daremos uma descrição das curvas algébricas de gênero g, 1≤ g ≤ 5, e faremos um breve estudo dos pontos de inflexão de um sistema linear sobre uma curva algébrica / The main purpose of this work is to discuss The Riemann-Roch Theorem, wich is one of the most important results of the theory algebraic curves, and to present some applications. This theorem is an important tool of the classification of algebraic curves, sinces relates algebraic and topological properties. We will describle the algebraic curves of genus g, 1≤ g ≤ 5, and also study inflection points of a linear system on an algebraic curve
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Interação de ácido algínico com surfactantes catiônicos em solução aquosaOliveira, Shirley Rosana de [UNESP] 02 June 2006 (has links) (PDF)
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oliveira_sr_dr_sjrp.pdf: 614291 bytes, checksum: 3c798111e01c06aaf0b868644e6a117e (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Foram construídos diferentes diagramas de fases dos sistemas ácido algínico (AcA)/brometo de dodeciltrimetilamônio (DTAB)/solução aquosa e ácido algínico (AcA)/brometo de didodecildimetilamônio (DDAB)/solução aquosa, contendo ou não NaBr. DTAB e DDAB são surfactantes catiônicos homólogos com uma e duas cadeias hidrocarbônicas, respectivamente. Foram obtidas duas fases homogêneas (f1 e f3), e uma fase heterogênea intermediária de agregados e cristais hidratados. Estudos reológicos, de espalhamento de luz, de eletroforese em gel e de tensão superficial foram realizados de amostras nas regiões homogêneas a baixa (f1) e elevada (f3) concentração de DTAB e um modelo do mecanismo de complexação de AcA-DTAB foi proposto. As amostras na fase f1 apresentaram comportamento de fluido não newtoniano, embora em elevadas concentrações de NaBr, tenderam a voltar ao comportamento newtoniano. Na ausência de NaBr, AcA e DTAB não formaram solução homogênea, mas na presença do sal, DTAB inicialmente (em f1) se ligou ao polímero na forma de monômeros, formando complexos aniônicos com AcA, até completa neutralização do polímero, quando então ocorreu precipitação. Na região de precipitação (f2) se formaram micelas de DTAB, que seqüestraram monômeros de DTAB dos complexos precipitados até a completa resuspensão do polieletrólito na fase f3, que, através de forte interação eletrostática, formou complexos catiônicos de AcA-micelas de DTAB altamente compactos. O raio hidrodinâmico (RH) do polímero foi muito grande e a solução polidispersa, mas diminuiu acentuadamente com a adição de NaBr, até atingir um valor mínimo em torno de 450 nm. DTAB também teve um forte efeito na redução de RH, que alcançou esse mesmo valor mínimo. Os complexos de AcA com micelas de DTAB na fase f3 eram altamente compactos, com RH da ordem de 170 nm.... / Phase diagrams for the systems alginic acid (AcA)/dodecyltrimethylammonium bromide (DTAB)/aqueous solution and alginic acid (AcA) /didodecyldimethylammonium bromide (DDAB) /aqueous solution were constructed at 25oC in presence or absence of NaBr. DTAB e DDAB are single and double chain homologue cationic surfactants. Two single phase (f1 e f3) were found in addition to an intermediary heterogeneous phase of aggregates and hydrated crystals. Rheological investigation, dynamic light scattering, gel electrophoresis and tensiometry were performed for homogeneous samples at low (f1) and high (f3) DTAB concentrations and a model for the mechanism of formation of AcA-DTAB complex proposed. Samples from phase f1 have a non newtonian behavior, but at high NaBr concentrations samples in phase f1 tend to turn newtonian. In absence of NaBr, AcA and DTAB do not form homogeneous solution, but in presence of salt, DTAB initially (in f1) bind to the polymer backbone as monomer, to form anionic complexes with AcA until complete neutralization of the polyelectrolytes that ultimately precipitate. In the precipitation region (f2) the excess surfactant form DTAB micelles that steal DTAB monomers from the precipitate complexes until complete re-solubilization of the polyelectrolytes in phase f3, that form, through strong electrolyte interactions, highly compact cationic complexes with DTAB micelles. The hydrodynamic radius (RH) of AcA in solution is huge and polydisperse, but it decreases steeply with addition of NaBr to attain a plateau around RH = 450 nm after 50 mM NaBr. DTAB also affects strongly the RH of the AcA polyelectrolyte that attains the same minimum value. The complexes of AcA with DTAB micelles within phase f3 are highly compact with of about 170 nm...(Complete abstract, click electronic address below).
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Propriedades EletrÃnicas de Dispositivos MOS Baseados em SiC / Propriedades EletrÃnicas de Dispositivos MOS Baseados em SiCErlania Lima de Oliveira 18 January 2005 (has links)
CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior
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Transporte eletrônico e quiralidade molecular: um estudo de dispositivos orgânicos em sistemas de dois terminaisSILVA, Shirsley Joany dos Santos da 18 June 2010 (has links)
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Previous issue date: 2010 / CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico / No presente trabalho, investigamos o transporte eletrônico molecular em dois compostos orgânicos, o Ponceau SS (PSS) e o Oligo-(para)fenileno-vinileno (PPV) através de cálculos ab initio e função de Green de não equilíbrio (FGNE). Estes métodos demonstraram equivalência para a descrição destes dispositivos moleculares. Fizemos cálculos quânticos para o Hamiltoniano derivado de Hartree-Fock (HF) e obtivemos as propriedades de corrente-voltagem (I-V) para as duas estruturas moleculares. Com o método FGNE conseguimos modelar o transporte através de um sistema de multiníveis eletrônicos obtendo a corrente descrevendo as regiões de ressonância e a assimetria do sistema. Como resposta o PSS demonstrou assimetria para polarizações direta e reversa e a ressonância é alcançada mostrando que o dispositivo opere como um transistor molecular bi-direcional. Para o PPV investigamos também as propriedades geométricas através da conexão entre transporte eletrônico e o grau de quiralidade molecular que foi calculado usando o índice quiral que depende apenas das posições atômicas. Obtivemos que moléculas quirais e propriedades estruturais podem induzir uma assimetria no transporte eletrônico, resultando num processo de retificação. Também obtivemos que a resposta elétrica (I-V) e momento de dipolo elétrico são proporcionais ao grau de quiralidade molecular. Estes resultados sugerem que o transporte eletrônico neste sistema pode ser explorado na avaliação do seu grau de quiralidade. / In this work, we simulate the electronic distribution properties as charge in two molecular organic compounds, the Ponceau SS (PSS) and Oligo-(para)phenylene-vinylene (PPV), by means of ab initio calculations and the Nonequilibrium Green function (NEGF) method. These methods demonstrate equivalence to the description of molecular device. We make quantum calculations for the Hamiltonian derivative Hartree-Fock (HF) and obtained the current-voltage characteristics (I-V) for the two molecular structures. With the method NEFG, we model the transport through of electronics multilevel system obtaining the current by parameters that describe the resonances and the asymmetry of the system. In response the PSS demonstrated an asymmetric characteristic for direct and reverse polarization, the resonance is reached and confirm the device as a bi-directional molecular transistor. For the PPV also investigate the geometric properties through the connection between electronic transport and the degree of chirality calculated means chiral index that only depends on the atomic positions. Since, the structural properties of chiral molecules can induce an asymmetry in the electron transport, resulting in the grinding process. We demonstrated that corrent-voltage and dipole moment are proportional to the degree of molecular chirality. This result suggests that the electronic transport in this system can be exploited in assessing the degree of chirality.
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活化公有土地吸引民間投資招商模式探討-以新北市為例 / A Case Study on the Attractions of Private Investments for Public Lands黃碧玉 Unknown Date (has links)
地方政府透過引進民間投資公共建設,帶動了區域經濟發展、減少政府財務支出及增加就業機會,更開啟了地方政府與國有財產局合作的機制。本研究以新北市政府目前已完成簽約或辦理中的個案進行歸納分析,從設定地上權、租賃與標售等招商模式中,找出在不同的環境因素下,應選擇何種模式為最適。而辦理招商前置作業應考量基本環境、市場可行性、法律可行性、財務可行性等分析結果。
研究發現,政府部門開放的態度、設置專責的單位、長官的支持、有效的行政效率及良好的內容規劃,為招商案主要關鍵成功因素。不同的招商模式各有其考量因素,設定地上權模式主要考量因素為:1.財務設算後回收期間較長2.計畫的回收於設定地上權期間內達成,財務設算可行3.產業類型以服務業、商業設施為主。租賃模式主要考量因素為:1.產業特性較無法評量其營收的狀況2.財務分析不可行3.產業類型以工業使用為主。標售模式主要以土地開發後取得之土地為主。 / By introducing private investment in public construction, local governments could lead regional economic development, reduce the government’s financial expenditures, increasing employment opportunities, as well as create a cooperative mechanism between local governments and National Property Administration. The study summarized and analyzed some bidding cases which have completed contract signing or still under process in the New Taipei City Government, trying to find the most suitable trade promotion model, under different environmental factors, from like superficies creation, lease, tender and etc. In preparing the start-up work of trade promotion, the analysis of basic environment and feasibility in market, law and finance should be considered.
The study finds that there are several key factors leading trade promotion projects successful such as open attitude, set of specialized unit, support from the executive, high efficiency and good project planning of and in governmental departments. Models will be designed under different considerations. When choosing the model of superficies creation, it mainly considers longer payback year after financial evaluation, which could possibly be accessible if the planed payback could be achieved during its creation period, and it mainly categorized in the service industry and commercial facilities. If the industry’s characteristics the kind less able to evaluate its revenue condition; financial analysis is unfeasible and is chiefly for industry use, the leasing model will be considered. If the land is expected to be acquisitive after land development, the tender one is the concern.
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Construction of versatile biomolecule nano-platforms via Dip-pen Nanolithography and their application in bio-sensing and cell differentiationOberhansl, Sabine 29 October 2012 (has links)
The present thesis entitled “Construction of versatile biomolecule nano-platforms via Dip-pen Nanolithography and their application in bio-sensing and cell differentiation” aims at contributing to the field of Nanobiotechnology, best defined as miniaturized biotechnology where nanofabrication technology is used for biological purposes. To this end, this research work employs the relatively novel nanofabrication technique called Dip-pen Nanolithography (DPN) for direct patterning of biologically relevant molecules at the micro- and nanoscale, both for biosensor applications and cell differentiation studies.
- The first chapter deals with the challenges encountered when working with Dip-pen Nanolithography and so called multi-pens. In order to facilitate the levelling of the tips with respect to the substrate and also to obtain a constant feedback of the force exerted from the tips to the substrate, a device was developed and fabricated together with a collaboration. The resulting piezoresistive device could be implemented successfully and was used to pattern two different molecules on gold substrates. An improved sensitivity at detecting the touching point could be shown when compared to conventional tips.
- The second chapter deals with the miniaturization of an already in-house developed biosensor platform. Therefore, several different approaches were evaluated for the DPN patterning of oligonucleotides on gold or chemically modified glass in order to ensure a covalent attachment. The most successful strategy was the click chemistry route, where an azide bearing oligonucleotide was coupled to an alkyne bearing glass substrate, using a copper catalyst (1,3-dipolar cycloaddition) yielding an triazole. This way, a sensor platform could be established and the sensitivity could be assessed.
- The third chapter deals with the development and fabrication of DPN patterned substrates for cell differentiation experiments. A biotin-thiol was chosen for patterning because it allows derivatization with streptavidin and any type of biotinylated molecule. The patterning was accomplished, using a lipid as a carrier molecule. This way, the feature size of the pattern was around 5 µm and the overall pattern area was bigger than 1 mm². The substrates were applied successfully in cell differentiation experiments, having a biotinylated BMP-2 immobilized on the substrates. / La presente tesis titulada "Construcción de nanoplataformas biomoleculares versátiles vía Nanolitografía Dip-pen y su aplicación en bio-sensing y diferenciación celular" pretende contribuir al campo de la nanobiotecnología, definida como la biotecnología en miniatura donde se utiliza la tecnología de nanofabricación con fines biológicos. Con este objectivo, este trabajo de investigación emplea la relativamente novedosa técnica de nanofabricación llamada Dip-Pen Nanolitografía (DPN) para obtener un patrón de moléculas biológicamente relevantes a micro y nanoescala, tanto para aplicaciones de biosensores como para los estudios de diferenciación celular.
- El primer capítulo trata de los desafíos encontrados al trabajar con Dip-Pen Nanolitografía y los llamados multi-pens. Con el fin de facilitar la nivelación de la punta con respecto al sustrato y obtener un control constante de la fuerza ejercida desde las puntas al sustrato, se desarrolló y fabricó un dispositivo. El dispositivo piezo-resistivo resultante se pudo aplicar con éxito y se utilizó para la fabricación de patrones de dos moléculas diferentes en sustratos de oro. Se obtuvo una mejora de la sensiblidad en la detección del punto de contacto en comparación con puntas convencionales
- El segundo capítulo trata de la miniaturización de una plataforma biosensora que ya se había desarollado previamente en el laboratorio. Se evaluaron varios métodos diferentes para la fabricación de un patrón de oligonucleótidos mediante DPN sobre oro o sobre vidrio modificado químicamente con el fin de asegurar una unión covalente. La estrategia más exitosa resultó ser la ruta de química click, donde un oligonucleótido con un grupo azida se acopla a un sustrato de vidrio que presenta un grupo alquino, utilizando un catalizador de cobre (cicloadición 1,3-dipolar) y produciendo un triazol. De esta manera, se pudo establecer una plataforma sensora y se pudo evaluar su sensibilidad
- El tercer capítulo trata del desarrollo y la fabricación sustratos con patrón mediante DPN para experimentos de diferenciación celular. Una molécula de biotina-tiol fue elegida como patrón, ya que permite la derivatización con estreptavidina y, en un segundo paso, cualquier tipo de molécula de biotina. El patrón se llevó a cabo usando un lípido como molécula para facilitar el transporte de la tinta. De esta manera, el tamaño de la característica del patrón fue de alrededor de 5 micras y el área de patrón general más grande que 1 mm ². Los sustratos se aplicaron con éxito en experimentos de diferenciación celular, usando la proteína BMP-2 biotinilada inmovilizada sobre los sustratos.
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Fenómenos complejos en sistemas extendidos en el espacioSánchez de La Lama, Marta 10 July 2009 (has links)
Uno de los aspectos más fascinantes del mundo que nos rodea es la gran variedad de escalas a las que tienen lugar los diversos fenómenos. En muchos casos esta diversidad pone de manifiesto la estructura fractal de la Naturaleza y podemos hablar entonces de fenómenos complejos, en los que eventos de diferentes magnitudes no pueden analizarse de manera independiente. Dicha complejidad emerge como un fenómeno cooperativo a escalas microscópicas, que produce un complejo comportamiento macroscópico caracterizado por correlaciones de largo alcance e invarianza de escala. Aparecen así conceptos como leyes de escalado, universalidad y renormalización, pilares fundamentales dentro de la Física Estadística.El abanico de fenómenos complejos es muy amplio, y abarca sistemas de muy diversas disciplinas que van desde la Físicamás ortodoxa hasta la Biología, Sociología, Geología e, incluso, Economía. Esta Tesis se centra en fenómenos complejos extendidos en el espacio. En concreto hemos focalizado nuestra labor en tres grandes temas que constituyen importantes focos de interés dentro de la Mecánica Estadística: Crecimiento de Interfases, Sociofísica y Redes Complejas. / The ubiquity of complexity in Nature provides examples of a huge variety of systems to be analyzed by means of Statistical Mechanics and leads to the interconnection among various scientific disciplines. This Thesis focuses on three highlight topics of spatially extended complex systems: Interface Growth,Sociophysics, and Complex Networks. The document has been partitioned in three separated parts according to those topics.The first part deals with far-from-equilibrium growing interfaces. This subject represents one of the main fields in which fractal geometry has been widely applied, and is nowadays of great interest in Condensed Matter Physics. The Chapter 2 provides a brief and basic introduction to interface growth. We introduce some fractal and scaling concepts, as well as the main universality classes in presence of annealed disorder (EW and KPZ) in terms of both growth equations and discrete models. In Chapter 3 we focus on the elastic interface dynamics in disordered media, i.e., in presence of quenched randomness. This Chapter contains original research based on cellular automata simulations. We carry out a novel study of the dynamics by focusing on the discrete activity patterns that the interface sites describe during therelaxation toward the steady state. We analyze the spatio-temporal correlations of such patterns as the temperature is varied. We observe that, for some range of low temperatures, the out-of-equilibrium relaxation can be understood in the context of creep dynamics.The second part of the Thesis focus on Sociophysics. This discipline attends to the social interactions among individuals -most often mapped onto networks to provide them a topological structure- and has recently attracted much interest in the physics community. Social interactions give rise to adaptive systems that exhibit complex features as self-organization and cooperation. Therefore, Statistical Mechanics provides the necessary tools to analyze the behavior of such groups of agentsin a first level of simplification. The topics that Sociophysics deals with are quite a number, and we particularly focus on processes of opinion formation. The Chapter 4 presents a basic classification of the different opinion formation models present in the literature. In Chapter 5 we provide some analytical and numerical own results to describe the effect that the social temperature- understood as a simplified description of the interplay between an agent, its surroundings, and a collective climate parameter- may exert on such opinion formation processes. The thermal effect can be implemented in different ways. In the first part of the Chapter we work on a simple opinion formation model that, according to some procedural rules, reproduces the Sznajd dynamics. We include the thermal effect by means of some probability that the agents adopt the opposite opinion that the one indicated by such rules. In the second part of the Chapterwe consider a system with three different interacting groups of individuals, where the thermal effect is implemented as certain probability of spontaneous changes of the agents opinion. We exploit the van Kampen's expansion approach to analyze the macroscopic behavior of the different supporter group densities as well as the fluctuations around such macroscopic behavior.The third and last part of the document concerns Complex Networks, which have recently prompted the scientific community to investigate the mechanisms that determine their topology and dynamical properties.The rapid development of networks like the Internet and the World-Wide-Web, which represent today the basic substrate for all sort of communications at planetary level, has given rise to a number of interdisciplinary studies with highly technological applications. We first provide an introduction to complex networks in Chapter 6, where we introduce some basic concepts as scale-free graphs, mixing patterns, clustering coefficient, and small-world effect. In Chapter 7 we deal with traffic processes on networks, and specifically we focus on optimization of the routing protocols that define the connecting paths among all the pair of nodes. Such optimization pursues to avoid the traffic jams that emerge for huge quantities of matter or information flowing inthe graph. We propose an optimization algorithm that, in order to avert jamming, minimizes the number of paths that go through the most visited node (maximal betweenness) while keeping the path length as short as possible, i.e., in the proximities of the length distribution of the initial shortest-path protocol.
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Visibility and proximity on triangulated surfacesFort, Marta 05 June 2008 (has links)
En aquesta tesi es solucionen problemes de visibilitat i proximitat sobre superfícies triangulades considerant elements generalitzats. Com a elements generalitzats considerem:punts, segments, poligonals i polígons. Les estrategies que proposem utilitzen algoritmesde geometria computacional i hardware gràfic. Comencem tractant els problemes de visibilitat sobre models de terrenys triangulats considerant un conjunt d'elements de visió generalitzats. Es presenten dos mètodes per obtenir, de forma aproximada, mapes de multi-visibilitat. Un mapa de multi-visibilitat és la subdivisió del domini del terreny que codifica la visibilitat d'acord amb diferents criteris. El primer mètode, de difícil implementació, utilitza informació de visibilitat exacte per reconstruir de forma aproximada el mapa de multi-visibilitat. El segon, que va acompanyat de resultats d'implementació, obté informació de visibilitat aproximada percalcular i visualitzar mapes de multi-visibilitat discrets mitjançant hardware gràfic. Coma aplicacions es resolen problemes de multi-visibilitat entre regions i es responen preguntessobre la multi-visibilitat d'un punt o d'una regió. A continuació tractem els problemes de proximitat sobre superfícies polièdriques triangulades considerant seus generalitzades. Es presenten dos mètodes, amb resultats d'implementació, per calcular distàncies des de seus generalitzades sobre superfícies polièdriques on hi poden haver obstacles generalitzats. El primer mètode calcula, de forma exacte, les distàncies definides pels camins més curts des de les seus als punts del poliedre. El segon mètode calcula, de forma aproximada, distàncies considerant els camins més curts sobre superfícies polièdriques amb pesos. Com a aplicacions, es calculen diagrames de Voronoi d'ordre k, i es resolen, de forma aproximada, alguns problemes de localització de serveis. També es proporciona un estudi teòric sobre la complexitat dels diagrames de Voronoi d'ordre k d'un conjunt de seus generalitzades en un poliedre sense pesos. / In this thesis, we solve visibility and proximity problems on triangulated surfaces concerning generalized elements. As generalized elements, we consider: points, segments, polygonal chains and polygonal regions. The proposed strategies use algorithms of Computational Geometry and Graphics Hardware. We start by studying multi-visibility problems on triangulated terrain models concerning a set of generalized view elements. We present two methods to obtain approximate multi-visibility maps. A multi-visibility map is a subdivision of the terrain domain encoding visibility according to different criteria. The first method, of complex implementation, uses exactly computed visibility information to approximately reconstruct the unknown multi-visibility map. The second, from which implementation results are provided, uses approximate visibility information to compute and visualize discrete multi-visibility maps by exploiting graphics hardware capabilities. As applications, we compute multi-visibility maps, solve inter-region multi-visibility problems and approximately answer point and polygonal region multi-visibility queries. Next, we tackle proximity problems on triangulated polyhedral surfaces, where generalized obstacles are allowed, considering generalized sources. We present two methods, with implementation results, to compute distances on polyhedral surfaces from a generalized source. The first method computes exact shortest path distances from generalized sources. The second provides approximate weighted shortest path distances from generalized sites on weighted polyhedral surfaces. Both methods are posteriorly extended to handle the multiple-site problem where the corresponding distance field is obtained. As applications, we compute discrete order-k Voronoi diagrams and approximately solve some facility location problems. We also provide a theoretical study on the order-k Voronoi diagram complexity of a set of generalized sources for the non-weighted case.
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Tópicos de geometria diferencialBatista, Ricardo Alexandre [UNESP] 21 September 2011 (has links) (PDF)
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batista_ra_me_rcla.pdf: 818880 bytes, checksum: 6293c2c753e3d0bd5a6900cfc890944f (MD5) / O principal objetivo deste trabalho é confeccionar um texto para alunos de gradua ção na área de Ciências Exatas e da Terra concernente ao estudo da Curvatura Gaussiana e Aplicação de Gauss, Superfícies Mínimas, Teorema Egregium de Gauss e o Teorema de Gauss- Bonnet para curvas simples fechadas / The main objective from this work is to make a text for students of graduation in the area of exact sciences and of the land concerning to the study of the Gaussian Curvature and the Gauss Map, Minimal Surfaces, Gauss's Theorem Egregium and the Gauss-Bonnet Theorem for Simple Closed Curves
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[en] GEOMETRIC MODELIG FOR FINITE ELEMENTS WITH MULTI-REGIONS AND PARAMETRIC SURFACES / [pt] MODELAGEM GEOMÉTRICA PARA ELEMENTOS FINITOS USANDO MULTI-REGIÕES E SUPERFÍCIES PARAMÉTRICASWILLIAM WAGNER MATOS LIRA 11 July 2002 (has links)
[pt] Este trabalho apresenta um ambiente computacional para
modelagem geométrica aplicada à análise por elementos
finitos usando multi-regiões e superfícies paramétricas
representadas por NURBS. O principal objetivo é gerar
modelos 3D para serem usados em simulações numéricas
baseadas no Método de Elementos Finitos (MEF). Nessa
proposta, a metodologia adotada consiste na combinação de
alguns aspectos da modelagem geométrica tais como a
detecção automática de regiões e a interseção de
superfícies com geração de malhas de elementos finitos.
No contexto da programação orientada a objetos, uma nova
organização de classes para o modelador geométrico usado
neste trabalho, denominado MG, é apresentada. Essa
organização de classes permite a implementação do ambiente
proposto, mantendo a interface com o usuário tão simples e
eficiente quanto à versão original. A organização de
classes também provê suporte para a geração de modelos
usados em análise por elementos finitos. Enquanto as malhas
de elementos finitos requeridas para simulações numéricas
são geradas por algoritmos específicos implementados no
modelador MG, os atributos são gerenciados por um sistema,
denominado ESAM (Extensible System Attributes Management),
que também é incorporado ao MG. Esse sistema permite que os
atributos do modelador MG sejam configurados para o uso em
diversos tipos de problemas de engenharia. A estrutura de
dados usada neste ambiente é representada por um enfoque
híbrido baseado na combinação de uma representação CGC
(Complete Geometric Complex) do modelo e na estrutura de
dados estendida do modelador MG. Além disso, a
determinação da interseção de superfícies é realizada
usando um algoritmo implementado no MG, enquanto que a
representação CGC é responsável pelo reconhecimento de
multi-regiões. O algoritmo de interseção de superfícies é
modificado para tratar casos especiais não considerados na
sua versão original. / [en] This work presents a computational environment for
geometric modeling applied to
finite-element analysis using multi-regions and parametric
surfaces represented as
NURBS. The main goal is to generate 3D models to be used in
numerical simulations
based on the Finite-Element Method (FEM). For this purpose,
the adopted methodology
consists of combining some aspects of geometric modeling,
such as automatic region
detection and surface intersection, with finite-element
mesh generation.
In the context of Object-Oriented Programming, a new class
organization for the
geometric modeler used in this work, called MG (Mesh
Generation), is presented. This
class organization allows the implementation of the
proposed environment, keeping the
user interface as simple and efficient as in the original
version of the MG modeler.
The proposed class organization also provides support for
the generation of models used
in finite-element analysis. While the finite-element meshes
required for the numerical
simulations are generated by specific algorithms
implemented in MG, the attributes are
managed by a system called ESAM (Extensible System
Attributes Management), which
also is incorporated into MG. This system allows the
customization of simulation
attributes in the MG modeler for use in different types of
Engineering problems.
The data structure used in this environment is represented
by a hybrid approach based
on the combination of a CGC (Complete Geometric Complex)
representation and the
MG`s data structure, which has been extended for this
purpose. Moreover, the
computation of surface intersections is accomplished by
using an algorithm
implemented in the MG, while the CGC representation is
responsible for multi-region
recognition. The surface-intersection algorithm has been
modified in order to handle
special cases that have not been treated in the original
version.
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