66 resultados para Sasakian geometry
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The self similar branching arrangement of the airways makes the respiratory system an ideal candidate for the application of fractional calculus theory. The fractal geometry is typically characterized by a recurrent structure. This study investigates the identification of a model for the respiratory tree by means of its electrical equivalent based on intrinsic morphology. Measurements were obtained from seven volunteers, in terms of their respiratory impedance by means of its complex representation for frequencies below 5 Hz. A parametric modeling is then applied to the complex valued data points. Since at low-frequency range the inertance is negligible, each airway branch is modeled by using gamma cell resistance and capacitance, the latter having a fractional-order constant phase element (CPE), which is identified from measurements. In addition, the complex impedance is also approximated by means of a model consisting of a lumped series resistance and a lumped fractional-order capacitance. The results reveal that both models characterize the data well, whereas the averaged CPE values are supraunitary and subunitary for the ladder network and the lumped model, respectively.
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The mechanical behaviour of single lap adhesive joints was characterized, using two commercial acrylic adhesives. For this purpose the surfaces were cleaned and abraded using fine grit abrasives. The effect of temperature and moisture in the mechanical strength was, also, evaluated. For this characterization, mechanical tests were carried out according procedure and geometry foreseen by ASTM D3163-01 [1] and ASTM D4501-01 [2] standards. The results show that it is possible to get good strengths without great surface preparation. The temperature and moisture effect observed don’t seem to be relevant for the mechanical behaviour.
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The use of fibre reinforced plastics – FRP’s – in structures is under a considerable increase. Advantages of their use are related with their low weight, high strength and stiffness. The improvement of the dynamic characteristics has been profitable for aeronautics, automobile, railway, naval and sporting goods industries. Drilling is a widely used machining technique as it is needed to assemble parts in a structure. This is a unique machining process, characterized by the existence of two different mechanisms: extrusion by the drill chisel edge and cutting by the rotating cutting lips. Drilling raises particular problems that can reduce mechanical and fatigue strength of the parts. In this work, quasi-isotropic hybrid laminates with 25% of carbon fibre reinforced plies and 4 mm thickness are produced, tested and drilled. Three different drill geometries are compared. Results considered are the interlaminar fracture toughness in Mode I – GIc –, thrust force during drilling and delamination extent after drilling. A bearing test is performed to evaluate tool influence on the load carrying capacity of the plate. Results consider the influence of drill geometry on delamination. A correlation linking plate damage to bearing test results is presented.
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Fiber reinforced plastics are increasing their importance as one of the most interesting groups of material on account of their low weight, high strength, and stiffness. To obtain good quality holes, it is important to identify the type of material, ply stacking sequence, and fiber orientation. In this article, the drilling of quasi-isotropic hybrid carbon +glass/epoxy plates is analyzed. Two commercial drills and a special step drill are compared considering the thrust force and delamination extension. Results suggest that the proposed step drill can be a suitable option in laminate drilling.
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This contribution presents novel concepts for analysis of pressure–volume curves, which offer information about the time domain dynamics of the respiratory system. The aim is to verify whether a mapping of the respiratory diseases can be obtained, allowing analysis of (dis)similarities between the dynamical pattern in the breathing in children. The groups investigated here are children, diagnosed as healthy, asthmatic, and cystic fibrosis. The pressure–volume curves have been measured by means of the noninvasive forced oscillation technique during breathing at rest. The geometrical fractal dimension is extracted from the pressure–volume curves and a power-law behavior is observed in the data. The power-law model coefficients are identified from the three sets and the results show that significant differences are present between the groups. This conclusion supports the idea that the respiratory system changes with disease in terms of airway geometry, tissue parameters, leading in turn to variations in the fractal dimension of the respiratory tree and its dynamics.
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Low-loss power transmission gears operate at lower temperature than conventional ones because their teeth geometry is optimized to reduce friction. The main objective of this work is to compare the operating stabilization temperature and efficiency of low-loss austempered ductile iron (ADI) and carburized steel gears. Three different low-loss tooth geometries were adopted (types 311, 411 and 611, all produced using standard 20° pressure angle tools) and corresponding steel and ADI gears were tested in a FZG machine. The results obtained showed that low-loss geometries had a significant influence on power loss, gears 611 generating lower power loss than gears 311. At low speeds (500 and 1000 rpm) and high torque ADI gears generated lower power loss than steel gears. However, at high speed and high torque (high input power and high stabilization temperature) steel gears had better efficiency.
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Hole drilling operations are common in fibre reinforced plastics - FRP’s - to facilitate fastener assembly to other parts in more complex structures. As these materials are non-homogeneous, drilling causes some damages, like delamination, for example. Delamination can be reduced by a careful selection of drilling parameters, drill material and drill bit geometry. In this work two types of laminates are drilled using different machining parameters and comparing drill geometries. Results show the importance of a cautious selection of these variables when composites’ drilling is involved.
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“Drilling of polymeric matrix composites structures”
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Micro-abrasion wear tests with ball-cratering configuration are widely used. Sources of variability are already studied by different authors and conditions for testing are parameterized by BS EN 1071-6: 2007 standard which refers silicon carbide as abrasive. However, the use of other abrasives is possible and allowed. In this work, ball-cratering wear tests were performed using four different abrasive particles of three dissimilar materials: diamond, alumina and silicon carbide. Tests were carried out under the same conditions on a steel plate provided with TiB2 hard coating. For each abrasive, five different test durations were used allowing understanding the initial wear phenomena. Composition and shape of abrasive particles were investigated by SEM and EDS. Scar areas were observed by optical and electronic microscopy in order to understand the wear effects caused by each of them. Scar geometry and grooves were analyzed and compared. Wear coefficient was calculated for each situation. It was observed that diamond particles produce well-defined and circular wear scars. Different silicon carbide particles presented dissimilar results as consequence of distinct particle shape and size distribution.
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Drilling of polymeric matrix composite structures
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Os métodos clínicos que são realizados com recurso a tecnologias de imagiologia têm registado um aumento de popularidade nas últimas duas décadas. Os procedimentos tradicionais usados em cirurgia têm sido substituídos por métodos minimamente invasivos de forma a conseguir diminuir os custos associados e aperfeiçoar factores relacionados com a produtividade. Procedimentos clínicos modernos como a broncoscopia e a cardiologia são caracterizados por se focarem na minimização de acções invasivas, com os arcos em ‘C’ a adoptarem um papel relevante nesta área. Apesar de o arco em ‘C’ ser uma tecnologia amplamente utilizada no auxílio da navegação em intervenções minimamente invasivas, este falha na qualidade da informação fornecida ao cirurgião. A informação obtida em duas dimensões não é suficiente para proporcionar uma compreensão total da localização tridimensional da região de interesse, revelando-se como uma tarefa essencial o estabelecimento de um método que permita a aquisição de informação tridimensional. O primeiro passo para alcançar este objectivo foi dado ao definir um método que permite a estimativa da posição e orientação de um objecto em relação ao arco em ‘C’. De forma a realizar os testes com o arco em ‘C’, a geometria deste teve que ser inicialmente definida e a calibração do sistema feita. O trabalho desenvolvido e apresentado nesta tese foca-se num método que provou ser suficientemente sustentável e eficiente para se estabelecer como um ponto de partida no caminho para alcançar o objectivo principal: o desenvolvimento de uma técnica que permita o aperfeiçoamento da qualidade da informação adquirida com o arco em ‘C’ durante uma intervenção clínica.
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Drilling of carbon fibre/epoxy laminates is usually carried out using standard drills. However, it is necessary to adapt the processes and/or tooling as the risk of delamination, or other damages, is high. These problems can affect mechanical properties of produced parts, therefore, lower reliability. In this paper, four different drills – three commercial and a special step (prototype) – are compared in terms of thrust force during drilling and delamination. In order to evaluate damage, enhanced radiography is applied. The resulting images were then computational processed using a previously developed image processing and analysis platform. Results show that the prototype drill had encouraging results in terms of maximum thrust force and delamination reduction. Furthermore, it is possible to state that a correct choice of drill geometry, particularly the use of a pilot hole, a conservative cutting speed – 53 m/min – and a low feed rate – 0.025 mm/rev – can help to prevent delamination.
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O aproveitamento de pneus em fim de vida revela ser uma alternativa eficaz e promissora na indústria da construção civil, na utilização deste resíduo em muros de suporte. O presente trabalho tem como principal objetivo a apresentação de uma técnica de aproveitamento de pneus em fim de vida na execução de muros de gravidade, combinando solo e pneus. Neste sentido, tomou-se como referência um estudo realizado no Brasil por Sieira, Sayão, Medeiros e Gerscovich, para avaliar a eficiência e o custo deste tipo de estruturas, comparando-o com um muro de suporte tradicional de betão simples. Inicialmente, avaliou-se a segurança do muro de solo-pneus, de acordo com a metodologia proposta no Eurocódigo 7 (NP EN 1997-1, 2010), considerando a geometria e as características dos materiais apresentados no estudo referido e usando o programa de cálculo automático Slide, da Rocscience, para a verificação da estabilidade global. Reproduziu-se a análise numérica realizada no âmbito do caso de estudo brasileiro de referência, recorrendo também a uma formulação por elementos finitos com o programa de cálculo automático Phase2, da Rocscience. Por último, utilizando uma vez mais o programa Slide, definiu-se a geometria de um muro de betão simples cuja geometria garantisse o mesmo valor do fator de segurança à estabilidade global, obtido com o muro de solo-pneus e compararam-se os custos respetivos. O presente trabalho confirmou a eficiência e o baixo custo desta solução construtiva, sendo necessários, no entanto, estudos mais detalhados que reforcem estas conclusões.
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A utilização de juntas coladas em aplicações industriais tem vindo a aumentar nos últimos anos, em detrimento dos métodos tradicionais de ligação tais como a soldadura, brasagem, ligações aparafusadas e rebitadas. As juntas de sobreposição simples são o tipo de juntas mais frequentemente utilizadas em aplicações industriais, porque são as mais simples de fabricar. No entanto, a aplicação descentrada da carga neste tipo de junta provoca efeitos de flexão que originam o aparecimento de tensões normais na direção da espessura do adesivo (arrancamento), reduzindo assim a resistência da junta colada. De uma maneira geral, existem dois tipos de métodos para reduzir as concentrações de tensões. O primeiro é utilizar alterações no próprio material, otimizando as propriedades do adesivo e do substrato, enquanto o segundo método envolve alterar a geometria da junta, como por exemplo utilizando filetes de adesivo, chanfros nas extremidades dos substratos, aplicar uma geometria ondulada ou dobrar os substratos na zona de sobreposição, ou ainda utilizar rasgos nos substratos ao longo da sobreposição. Neste trabalho é realizado um estudo experimental e numérico por Elementos Finitos de duas alterações efetuadas à geometria de juntas de sobreposição simples, de modo a aumentar a sua resistência comparativamente às juntas sem alteração geométrica. A primeira condição efetuada foi a utilização de rasgos nas extremidades do comprimento de sobreposição e a segunda foi a utilização de rasgos a meio do comprimento de sobreposição. No final do estudo experimental, verificou-se que a resistência da ligação foi significativamente melhorada com algumas das configurações testadas para cada alteração, e foi possível estabelecer em ambos os casos a configuração ótima. Numa fase posterior, procedeu-se à simulação numérica, que incluiu uma análise de tensões e previsão do comportamento das juntas através de modelos de dano coesivo. A análise permitiu obter os modos de rotura, as curvas força-deslocamento e a resistência das juntas. Obteve-se uma concordância bastante boa com os resultados experimentais, o que mostrou a adequabilidade do método de previsão proposto para estimar o comportamento das juntas.
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Linear Algebra—Selected Problems is a unique book for senior undergraduate and graduate students to fast review basic materials in Linear Algebra. Vector spaces are presented first, and linear transformations are reviewed secondly. Matrices and Linear systems are presented. Determinants and Basic geometry are presented in the last two chapters. The solutions for proposed excises are listed for readers to references.