Do modelo geométrico ao modelo físico: o tridimensional na educação do arquiteto e urbanista

In the teaching practice of architecture and urbanism in Brazil, educational legislation views modeling laboratories and workshops as an indispensable component of the infrastructure required for the good functioning of any architectural course of study. Although the development of information technology at the international level has created new possibilities for digital production of architectural models, research in this field being underway since the early 1990s, it is only from 2007 onwards that such technologies started to be incorporated into the teaching activity of architecture and urbanism in Brazil, through the pioneering experience at LAPAC/FEC/UNICAMP. It is therefore a recent experiment whose challenges can be highlighted through the following examples: (i) The implementation of digital prototyping laboratories in undergraduate courses of architecture and urbanism is still rare in Brazil; (ii) As a new developing field with few references and application to undergraduate programs, it is hard to define methodological procedures suitable for the pedagogical curricula already implemented or which have already been consolidated over the years; (iii) The new digital ways for producing tridimensional models are marked with specificities which make it difficult to fit them within the existing structures of model laboratories and workshops. Considering the above, the present thesis discusses the tridimensional model as a tool which may contribute to the development of students skills in perceiving, understanding and representing tridimensional space. Analysis is made of the relation between different forms of models and the teaching of architectural project, with emphasis on the design process. Starting from the conceptualization of the word model as it is used in architecture and urbanism, an attempt is made to identify types of tridimensional models used in the process of project conception, both through the traditional, manual way of model construction as well as through the digital ones. There is also an explanation on how new technologies for digital production of models through prototyping are being introduced in undergraduate academic programs of architecture and urbanism in Brazil, as well as a review of recent academic publications in this area. Based on the paradigm of reflective practice in teaching as designed by Schön (2000), the experiment applied in the research was undertaken in the integrated workshop courses of architectural project in the undergraduate program of architecture and urbanism at Universidade Federal do Rio Grande do Norte. Along the experiment, physical modeling, geometric modeling and digital prototyping are used in distinct moments of the design process with the purpose of observing the suitability of each model to the project s phases. The procedures used in the experiments are very close to the Action Research methodology in which the main purpose is the production of theoretical knowledge by improving the practice. The process was repeated during three consecutive semesters and reflection on the results which were achieved in each cycle helped enhancing the next one. As a result, a methodological procedure is proposed which consists of the definition of the Tridimensional Model as the integrating element for the contents studied in a specific academic period or semester. The teaching of Architectural Project as it is developed along the fifth academic period of the Architecture and Urbanism undergraduate program of UFRN is taken as a reference

A dinâmica do pensamento geométrico :aprendendo a enxergar meias verdades e a construir novos significados

This work is a case study to investigate the dynamics of the historians thought as they produce a knowledge about the history of the area measurement systems as forms of historical expressions and representations. We refer to some of the ideas of David Bohm (1989, 1992, 1994, 1996) to support our theoretical understanding about the operation of thought. We chose a period that is recognized by the theorists as the origin of the geometrical thought -embracing the knowledge developed by the Egyptians, Babylonians, Chinese, Hindus, Greeks and Romans- and is referred to as containing a cycle in the development of this knowledge, described as beginning, apogee and decline. We assume this history, as told by the theorists, as a version that we organize and tell with the help of three sets of categories. The first refers to the elements that take part in the measurement practices; the second refers to the historians understanding about the development of the scientific knowledge. This exercise allowed us to extract the theorists main beliefs, that we criticized in the light of the knowledge about Cubação (Dal Pian, 1990). We stress the importance of the methodological approach adopted in this study to the teaching of Geometry and its history

Uso de dados fotogramétricos no refinamento geométrico de contornos de telhados de edifícios extraídos de dados laser

In this paper, a methodology is proposed for the geometric refinement of laser scanning building roof contours using high-resolution aerial images and Markov Random Field (MRF) models. The proposed methodology takes for granted that the 3D description of each building roof reconstructed from the laser scanning data (i.e., a polyhedron) is topologically correct and that it is only necessary to improve its accuracy. Since roof ridges are accurately extracted from laser scanning data, our main objective is to use high-resolution aerial images to improve the accuracy of roof outlines. In order to meet this goal, the available roof contours are first projected onto the image-space. After that, the projected polygons and the straight lines extracted from the image are used to establish an MRF description, which is based on relations ( relative length, proximity, and orientation) between the two sets of straight lines. The energy function associated with the MRF is minimized by using a modified version of the brute force algorithm, resulting in the grouping of straight lines for each roof object. Finally, each grouping of straight lines is topologically reconstructed based on the topology of the corresponding laser scanning polygon projected onto the image-space. The preliminary results showed that the proposed methodology is promising, since most sides of the refined polygons are geometrically better than corresponding projected laser scanning straight lines.

Teorema de Thales: uma conexão entre os aspectos geométrico e algébrico em alguns livros didáticos de matemática

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Relação espaço-plano: uma intervenção pedagógica para o desenvolvimento do pensamento geométrico

Pós-graduação em Educação - FCT

Aspectos do desenvolvimento do pensamento geométrico em algumas civilizações e povos e a formação de professores

Pós-graduação em Educação Matemática - IGCE

Um estudo fenomenológico sobre conhecimento geométrico

Pós-graduação em Educação Matemática - IGCE

Espalhamento geométrico em modelos plano-estratificados

A medição de parâmetros físicos de reservatórios se constitui de grande importância para a detecção de hidrocarbonetos. A obtenção destes parâmetros é realizado através de análise de amplitude com a determinação dos coeficientes de reflexão. Para isto, faz-se necessário a aplicação de técnicas especiais de processamento capazes de corrigir efeitos de divergência esférica. Um problema pode ser estabelecido através da seguinte questão: Qual o efeito relativamente mais importante como responsável pela atenuação de amplitudes, o espalhamento geométrico ou a perda por transmissividade? A justificativa desta pergunta reside em que a correção dinâmica teórica aplicada a dados reais visa exclusivamente o espalhamento geométrico. No entanto, a análise física do problema por diferentes direções põe a resposta em condições de dúvida, o que é interessante e contraditório com a prática. Uma resposta embasada mais fisicamente pode dar melhor subsídio a outros trabalhos em andamento. O presente trabalho visa o cálculo da divergência esférica segundo a teoria Newman-Gutenberg e corrigir sismogramas sintéticos calculados pelo método da refletividade. O modelo-teste é crostal para que se possa ter eventos de refração crítica além das reflexões e para, com isto, melhor orientar quanto à janela de aplicação da correção de divergência esférica o que resulta em obter o então denominado “verdadeiras amplitudes”. O meio simulado é formado por camadas plano-horizontais, homogêneas e isotrópicas. O método da refletividade é uma forma de solução da equação de onda para o referido modelo, o que torna possível um entendimento do problema em estudo. Para se chegar aos resultados obtidos foram calculados sismogramas sintéticos através do programa P-SV-SH desenvolvido por Sandmeier (1998), e curvas do espalhamento geométrico em função do tempo para o modelo estudado como descrito por Newman (1973). Demonstramos como uma das conclusões que a partir dos dados do modelo (velocidades, espessuras, densidades e profundidades) uma equação para a correção de espalhamento geométrico visando às “verdadeiras amplitudes” não é de fácil obtenção. O objetivo maior então deveria ser obter um painel da função de divergência esférica para corrigir as verdadeiras amplitudes.

Impacto do padrão geométrico ventricular na remodelação cardíaca após o infarto do miocárdio

BACKGROUND: The relevance of left ventricular (LV) geometric pattern after myocardial infarction is not known. OBJECTIVES: To analyze the presence of different LV geometric patterns and teir impact as a predictor of remodeling in patients with myocardial infarction. METHODS: Patients with anterior acute myocardial infarction (n = 80) were divided according to the geometric pattern: normal (normal left ventricular mass index [LVMI] and normal relative wall thickness [RWT]), concentric remodeling (normal LVMI and increased RWT), concentric hypertrophy (increased LVMI and RWT) and eccentric hypertrophy (increased LVMI and normal RWT). After six months, echocardiographic assessment was repeated. RESULTS: Four patients died. Of the survivors, 41 showed remodeling (R +), whereas 39 did not (R-). Considering the geometric pattern, the cases were distributed as follows: 24 patients with normal pattern, 13 with concentric remodeling, 29 with concentric hypertrophy and 14 with eccentric hypertrophy. Patients who showed remodeling had larger infarction sizes analyzed by peak CPK (R + = 4,610 (1,688-7,970), R- = 1,442 (775-4247), p <0.001) and CK-MB (R + = 441 (246 - 666), R- = 183 (101-465), p <0.001), trend towards higher prevalence of concentric remodeling (R+ = 10, R- = 3, p = 0.08) and lower prevalence of eccentric hypertrophy (R + = 2 R- = 12, p = 0.006). In the multivariate regression analysis, infarction size was a predictor (OR = 1.01, p = 0.020) and eccentric hypertrophy was a protective factor (OR = 0.189, p = 0.046) of ventricular remodeling after coronary occlusion. CONCLUSION: The LV geometric pattern of can have an impact on the remodeling process in patients with myocardial infarction.

Índice geométrico e perda de carga localizada em conexões de emissores "online"

The objective of this research is to present a study on a relationship between the local head loss in connection of emitters in pipes with different diameters used in drip irrigation, with the online geometry of the emitter connectors, that allows an easy quantification of such head loss regarding of the size of the connectors. The experiment was carried out according to the Reynolds Numbers at a turbulent flow interval, obtained by the variation of the pipe outflow at a constant temperature of water. The results indicated that the friction factor of the Darcy-Weisbach equation can be estimated by the Blasius equation with the coefficients b = 0.300 and m = 0.25, for the above mentioned pipes. The head losses produced by the connections of the emitters, in relation to the pipe without emitter, was of 62%. A relationship between the kinetic load coefficient (K) and the index of blockage (IO) provoked by the online connector is presented by an algebraic equation which shows a coefficient of adjustment of approximately 96%.

Refinamento geométrico de contornos e cumeeiras de telhados de edifícios extraídos de dados laser com uso de imagem aérea

In this paper, a method is proposed to refine the LASER 3D roofs geometrically by using a high-resolution aerial image and Markov Random Field (MRF) models. In order to do so, a MRF description for grouping straight lines is developed, assuming that each projected side contour and ridge is topologically correct and that it is only necessary to improve its accuracy. Although the combination of laser data with data from image is most justified for refining roof contour, the structure of ridges can give greater robustness in the topological description of the roof structure. The MRF model is formulated based on relationships (length, proximity, and orientation) between the straight lines extracted from the image and projected polygon and also on retangularity and corner injunctions. The energy function associated with MRF is minimized by the genetic algorithm optimization method, resulting in the grouping of straight lines for each roof object. Finally, each grouping of straight lines is topologically reconstructed based on the topology of the corresponding LASER scanning polygon projected onto the image-space. The results obtained were satisfactory. This method was able to provide polygons roof refined buildings in which most of its contour sides and ridges were geometrically improved.

Vibração de barras em pequena amplitude com efeito geométrico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Desarrollo de un visor modelador 3D colaborativo

[ES] COMO (Cooperative Modeller) es un software de modelado 3D colaborativo. Siguiendo una arquitectura cliente-servidor, este software permite que múltiples usuarios se conecten a través de la red y tabajen, en tiempo real, sobre la misma escena 3D. Las principales funcionalidades de COMO incluyen la creación de primitivas geométricas (cubos, conos, cilindros y esferas), el importado de mallas desde fichero (.obj), la transfrmación de selecciones de objetos (traslaciones, rotaciones y escalados), la creación de múltiples luces direccionales, la edición de materiales, o la aplicación de texturas a ciertas mallas. Aunque actualmente COMO se encuentra únicamente disponible para Ubuntu, el proyecto se ha realizado con una visión plataforma. Por esta razón, se ha empleado tecnologías y librerías multiplataforma como OpenGL, Qt o Boost, de manera que se facilite el portado del software a otras plataformas en el futuro.