Subsídios para o projeto de estruturas sismo resistentes

Through this research is detailed the Brazilian seismic code focused on concrete projects design related to seismic engineering. At the beginning of the research is debated the fundaments of the seismic effects, the influence factors to the development of seismic effects and also relates the main data registration happened in Brazil. The second step is study the Brazilian seismic code explaining all the concepts related to it and does a compilation to the most important international seismic code. At this research is developed the designing of a building submitted to horizontal equivalent seismic forces and the modal process based on the answer spectrum based on the brazilin seismic code. It was also developed the design of a commercial building submitted to seismic loads based on the Brazilian code answer spectrum and compared to the same building submitted to wind loads.The research also focus on projects conception and detailing of seismic engineering Project design. At the study of seismic engineering it was concluded that seismic effects require special focus on concrete structures design, proving that is the essential consider the seismic effects

Análise de superfícies seletivas em frequência com geometria multifractal

Frequency Selective surfaces are increasingly common structures in telecommunication systems due to their geometric and electromagnetic advantages. As a matter of fact, the frequency selective surfaces with fractal geometry type would allow an even bigger reduction of the electrical length which provided greater flexibility in the design of these structures. In this work, we investigated the use of multifractal geometry in frequency selective surfaces. Three structures with different multifractal geometries have been proposed and analyzed. The first structure allowed the design of multiband structures with greater flexibility in controlling the resonant frequencies and bandwidth. The second structure provided a bandwidth increase even with the rising of the fractal level. The third structure showed response with angle stability, dual polarization and provided room for a bandwidth increase with the rising of the structural multifractality. Furthermore, the proposed structures increased the degree of freedom in the multiband designs because they have multiple resonant frequencies ratios between adjacent bands and are easy to deploy. The validation of the proposed structures was initially verified through simulations in Ansoft Designer software and then the structures were constructed and the experimental results obtained

Estudo de arranjos de antenas de microfita com Patch quase-fractal para comunicações sem fio

In this dissertation, are presented two microstrip antennas and two arrays for applications in wireless communication systems multiband. Initially, we studied an antenna and a linear array consisting of two elements identical to the patch antenna isolated. The shape of the patch used in both structures is based on fractal geometry and has multiband behavior. Next a new antenna is analyzed and a new array such as initial structure, but with the truncated ground plane, in order to obtain better bandwidths and return loss. For feeding the structures, we used microstrip transmission line. In the design of planar structures, was used HFSS software for the simulation. Next were built and measures electromagnetic parameters such as input impedance and return loss, using vector network analyzer in the telecommunications laboratory of Federal University of Rio Grande do Norte. The experimental results were compared with the simulated and showed improved return loss for the first array and also appeared a fourth band and increased directivity compared with the isolated antenna. The first two benefits are not commonly found in the literature. For structures with a truncated ground planes, the technique improved impedance matching, bandwidth and return loss when compared to the initial structure with filled ground planes. Moreover, these structures exhibited a better distribution of frequency, facilitating the adjustment of frequencies. Thus, it is expected that the planar structures presented in this study, particularly arrays may be suitable for specific applications in wireless communication systems when frequency multiband and wideband transmission signals are required.

Integração de projetos no ensino através de BIM: uma abordagem dos cursos de arquitetura e urbanismo da UFRN e da UFPB

The integration between architectural design and structur al systems consi sts, in academic education, one of the main challenges to the architectural design education . Recent studies point to the relevance of the use of computational tools in academic settings as an important strategy for such integration. Although in recent yea rs teaching experience using BIM (BuildingInformationModeling) may be incorporated by the a rchitecture schools , notes the need for further didactic and pedagogical practices that promote the architectural design and structur al integration teaching. This pa per analyzes experiences developed within the UFRN and UFPB, seeking to identify tools, processes and products used, pointing limitations and potentials in subjects taught in these institutions. The research begins with a literature review on teaching BIM and related aspects to the integration of architectural design and stru c tur e . It has been used as data collection techniques in studio the direct observation, the use of questionnaires and interviews with students and teachers, and mixed method, qualitativ e and quantitative analysis . In UFRN, the scope of the Integrated Workshop as a compulsory subject in the curriculum, favors the integration of disciplines studied here as it allows teachers from different disciplines at the same project studio . Regarding the use of BIM form initial users, BIM modelers, able to extract quantitative and automatically speed up production, gaining in quality in the products, however learn the tool and design in parallel cause some difficulties. UFPB, lack of required courses o n BIM, generates lack of knowledge and confidence in using the tool and processes, by most students. Thus we see the need for greater efforts by school to adopt BIM skills and training. There is a greater need for both BIM concept, in order to promote BIM process and consequent better use of tools, and obsolete avoiding impairment of technology, merely a tool. It is considered the inclusion of specific subjects with more advanced BIM skills, through partnerships with engineering degrees and the promotion of trans disciplinary integration favoring the exchange of different cultures from the academic environment.

Projeto em Áreas Consolidadas de Patrimônio Cultural: Propostas para a Construção de uma Metodologia de Ensino

Le thème du patrimoine culturel architectural et urbain continue d avoir une place importante dans le milieu technique et scientifique. Le concept s est élargi et aujourd hui comprend différentes procédures de projets d intervention. L importance accordée au thème amène à l inclusion de la matière de techniques rétrospectives et aux contenus qui en sont liés: conservation, restauration, restructuration et reconstruction d édifices et ensembles urbains, dans les parcours des cours d architecture et d urbanisme au Brésil établies par le Ministère de l Education Nationale (MEC) dans les années quatre-vingt-dix, postérieurement incorporés dans les directrices disciplinaires nationales. Nous partons des discussions théoriques et conceptuelles du Domaine du Patrimoine Culturel, ainsi que des principales théories pédagogiques d enseignements et d apprentissage articulées au projet. Dans ce contexte les objectifs principaux de cette thèse consistent à systématiser et à analyser les principales procédures méthodologiques contribuant pour la construction de méthodes d enseignement tournée vers des activités pratiques dans ce domaine. Pour cela, la recherche a été systématisée dans une approche à deux niveaux. En ce qui concerne le premier, basé sur des données secondaires, neuf cours d architecture et urbanisme ont étés identifiés entre institutions publiques d enseignement supérieur dont huit brésiliennes et une française, considérées représentatives en ce qui concerne les pratiques d enseignement de projet et de patrimoine culturel. Trente disciplines dédiées à la matière ont été également reconnues initialement, et postérieurement, cinq disciplines qui possèdent un emploi du temps dédié à la pratique de projet ont aussi été reconnues. Dans le deuxième cas, basée sur des données primaires, ont étés analysées les méthodologies et les stratégies d enseignement de projet basées sur les définitions des matières et des autres éléments des plans de travail avec des observations, des entrevues et des questionnaires en trois ateliers. Par rapport aux résultats nous avons constaté que toutes les écoles possèdent les contenus de la matière, mais peu d entre elles privilégient la relation du projet appliqué au patrimoine culturel. Nous avons constaté que les questions des projets dans ce contexte, même s elles sont considérées complexes, ont privilégié le listage et l analyse du site. L atelier qui intègre les fondements des théories de préservation, l histoire de l architecture et urbanisme et techniques anciennes et actuelles, est mis en valeur comme un modèle cohérent avec les propositions d intégration des connaissances théoriques et pratiques du projet appliqué à la discipline. Basé sur ces constatations il est possible de démontrer quatre étapes du projet appliqué au patrimoine culturel: 1ª) les fondements généraux qui concernent les bases théoriques sur la préservation, histoire et technique rétrospective, par exemple, l appropriation de lois et normes et la sensibilisation de l élève sur les questions de patrimoine culturel; 2ª) le contacte avec la réalité qui inclut l appropriation du problème à partir de ces acteurs, de ces échelles, de cette lecture de site et l analyse de l objet d étude; 3ª) le développement de la proposition qui inclut programmes (fonctions existantes et propositions), définitions du partit (types d intervention), conception (hypothèse et discussion) et définition de proposition; 4ª) la finalisation du projet qui consiste à développer la proposition avec sa représentation graphique et sa présentation finale. Nous concluons que le projet en Domaine du Patrimoine Culturel demande une attention spéciale et doit être présent dans les cursus considérant les principes généraux nécessaires à la formation de l élève. Le binôme projet / patrimoine signifie avoir dans le cursus universitaire les contenus et questions nécessaires les connaissances, les variables et possibilités existantes dans le projet appliqué au patrimoine culturel de façon à ce que ces connaissances soient incorporées dans l exercice de projet et n apparaissent pas comme un simple contenu théorique sans articulation avec la pratique. Naturellement ces conclusions n épuisent pas la réflexion sur la question. Nous espérons que les analyses faites contribuent à définir des méthodologies d enseignements capables d êtres vérifiées et testées dans la pratique en salle de cours, et puisse collaborer avec les nouvelles recherches surtout celles qui ont pour but des nouvelles théories pédagogiques d enseignement apprentissage du projet en Domaine du Patrimoine Culturel

O projeto de arquitetura de espaços temporários com o uso de sistema construtivo remontável: um estudo exploratório

The purpose of this research is to study the portable or reassemblable architectures, which, different from conventional architecture (whose designs are of permanent buildings), corresponds to the designing of spaces with temporary purposes. The focus of the study is the architectural design of spaces that are produced from building systems that can to be moved to different places (process of assembly / disassembly / reassembly) in order to identify the types of spaces generated and the processes used in their design / projecting. The aim is to investigate relationships between the initial project conceived based on a Reassemblable Construction System (RCS) and its application in the architectural design of professionals and students in order to contribute to the understanding of the specificities of this type of design activity. To this end it was developed the exploratory research based on multimedia methods, which includes: documentary analysis, technical visits, interviews, surveys, academic exercise and documentation by images. Although the study is not conclusive, the results indicate significant differences between the point of view of the RCS´s designers and its users (architects and architecture students) since the users demonstrated to have some difficulty to access the features provided for the first group, in particular the students. It is also demonstrated that the use of RCSs seems to change the appreciation / hierarchization of the conditions of project design, since, unlike what happens in traditional architectural design, the designers who use them seem to be more concerned with constructive issues, especially the structural elements (support and covering), instead of functionality, aesthetics and even physical characteristics of the site

Permanências e perspectivas no ensino de projeto de arquitetura no Brasil: uma análise a partir da produção científica dos Seminários UFRGS (1985) e Projetar (2003-2011)

O objeto de estudo desta tese é o ensino de projeto de arquitetura no contexto acadêmico brasileiro. O trabalho procura analisar esse objeto nos aspectos relativos ao ensinar a fazer e ao aprender a fazer , por meio de uma perspectiva epistemológica e cognitiva, a partir da produção científica dos Seminários UFRGS (1985) e Projetar (2003-2011) sob o olhar de três estados constitutivos: conservação, permanência e transformação. A metodologia de investigação é qualitativa e seus pressupostos são investigad os por meio do método hipotético-dedutivo em busca de um conhecimento aproximativo. Dentro do universo pesquisado, as hipóteses conduzem: primeiro, à investigação e caracterização de estruturas que se conservam; segundo, à investigação e levantamento de valores e conceitos que permanecem adequados por sua capacidade de adaptação às mudanças e paradigmas; e, terceiro, por procurarem destacar práticas pedagógicas que indicam novos caminhos na maneira de agir e de se pensar o ensino de projeto de arquitetura. A pesquisa demonstrou que, embora em menores proporções, ainda se conservam ações e posturas pedagógicas que: valorizam os ideais funcionalistas e racionalistas da arquitetura; adotam posturas deterministas, caminhos prescritivos ou intuitivos no ensino da concepção arquitetural; não apresentam clareza metodológica na abordagem da problemática arquitetônica; os contextos urbanos são pouco explorados na experimentação; utilizam um sistema de concepção baseado em princípios estéticos canônicos e universais, sem problematizar as causas da transformação da arquitetura contemporânea e qual o seu papel numa sociedade complexa e diversificada. Com relação às novas perspectivas encontradas, a análise da produção científica demonstrou que a prática pedagógica do ensino de projeto de arquitetura no Brasil passa por transformações críticas valiosas. Essa constatação foi percebida, por meio, também, de reflexões e de práticas pedagógicas que valorizam a integração de conteúdos; que possuem um discurso crítico e conciliador com relação à necessidade de renovação de práticas, paradigmas, meios e conteúdos; que estão abertas às posturas cooperativas e às estratégias para a constituição de um corpo teórico-prático para o ensino do projeto que não se limite ao campo da arquitetura; que reconhecem a importância das novas tecnologias computacionais na concepção projetual e no ensino do projeto, assim como, as tecnologias e estratégias que atualizam as soluções projetuais no uso adequado dos recursos ambientais; que consideram o espaço acadêmico como um lugar propício para as experiências projetuais e pedagógicas; que manifestam um esforço em considerar a participação do usuário, assim como em realizar um processo de apreensão de contextos complexos como objeto de estudo, adotando uma postura de valorização do processo projetual. O trabalho conclui que a educação do arquiteto deve estar atenta aos aspectos relativos à inclusão da realidade sociocultural e ambiental como referência para o fazer arquitetural em detrimento da primazia dada à racionalidade técnica, uma vez que essa realidade permite a mediação, entre o ser e o mundo , como uma estratégia que supera qualquer antecipação programática e viabiliza a transformação e a construção do próprio ser e do mundo . Assim, se o aprender fazendo é necessário para a formação do arquiteto, que esse fazer seja refletido e retroalimente a prática

Ribeira, técnica versus natureza: transformações em prol de um projeto de modernização (1860-1932)

The necessity of the insertion of the capital of Rio Grande do Norte in the world-wide commercial scene and its claim as the seat of political power, in ends of nineteenth and beginning of twentieth century, determined the direction of urban interventions undertaken by government to restructure the city. In that matter, there were several actions of improvements and embellishment in Natal, which had, as a starting point, the adequacy works of the port, located in the Ribeira quarter, with the aim of ending the physical isolation that reinforced its economic stagnation. Besides the problems faced in the opening bar of the Potengi River, and would complement the required improvements, other barriers demonstrate the tension established between the physic-geographic field and the man: the flooded and slope which connected Cidade Alta and Ribeira the first two quarters of the city.The execution of these works demanded knowledge whose domain and application it was for engineering. But, how the actions done for the engineers, in sense to transform natural areas into constructed spaces made possible the intentional conformation of the quarter of the Ribeira in a commercial and politician-administrative center, in the middle of the XIX century and beginning of the XX? Understand, therefore, the employment effects of technology on the physical-geographical Ribeira, is the objective of this work that uses theoretical and methodological procedures of Urban Environmental History, by analyzing the relationship between the environment and the man, mediated by knowledge and use of technologies. The documental research was used, as primary sources, the Messages of the Provincial Assembly Government that later became the Legislative Assembly of Rio Grande do Norte reports and articles on specialized publications, in addition to local newspapers. The work is structured in five chapters. First, some comments about Urban Environmental History (Chapter 1) supplemented with analysis of the conceptual construction of nature in the Contemporary Era and its application in the city (chapter 02), the following chapters (03 and 04) deal with the rise of engineers as a active group in the Brazilian government frameworks and their vision about the nature inside the urban environment and it is studied how the professional technicians dealt with the improvement work of the harbor and in the shock with the natural forces. Other works that would complement this "project" of modernization and had had natural obstacles to be removed the Ribeira flood and slope constitute the subject of the fifth chapter. Finally, some final considerations retake the initial discussions aiming an association between the technique and the nature as junction elements inside the process of constitution of a Modern Natal

Análise e projeto de superfícies seletivas de frequência com elementos pré-fractais para aplicações em comunicações indoor

In this thesis, a frequency selective surface (FSS) consists of a two-dimensional periodic structure mounted on a dielectric substrate, which is capable of selecting signals in one or more frequency bands of interest. In search of better performance, more compact dimensions, low cost manufacturing, among other characteristics, these periodic structures have been continually optimized over time. Due to its spectral characteristics, which are similar to band-stop or band-pass filters, the FSSs have been studied and used in several applications for more than four decades. The design of an FSS with a periodic structure composed by pre-fractal elements facilitates the tuning of these spatial filters and the adjustment of its electromagnetic parameters, enabling a compact design which generally has a stable frequency response and superior performance relative to its euclidean counterpart. The unique properties of geometric fractals have shown to be useful, mainly in the production of antennas and frequency selective surfaces, enabling innovative solutions and commercial applications in microwave range. In recent applications, the FSSs modify the indoor propagation environments (emerging concept called wireless building ). In this context, the use of pre-fractal elements has also shown promising results, allowing a more effective filtering of more than one frequency band with a single-layer structure. This thesis approaches the design of FSSs using pre-fractal elements based on Vicsek, Peano and teragons geometries, which act as band-stop spatial filters. The transmission properties of the periodic surfaces are analyzed to design compact and efficient devices with stable frequency responses, applicable to microwave frequency range and suitable for use in indoor communications. The results are discussed in terms of the electromagnetic effect resulting from the variation of parameters such as: fractal iteration number (or fractal level), scale factor, fractal dimension and periodicity of FSS, according the pre-fractal element applied on the surface. The analysis of the fractal dimension s influence on the resonant properties of a FSS is a new contribution in relation to researches about microwave devices that use fractal geometry. Due to its own characteristics and the geometric shape of the Peano pre-fractal elements, the reconfiguration possibility of these structures is also investigated and discussed. This thesis also approaches, the construction of efficient selective filters with new configurations of teragons pre-fractal patches, proposed to control the WLAN coverage in indoor environments by rejecting the signals in the bands of 2.4~2.5 GHz (IEEE 802.11 b) and 5.0~6.0 GHz (IEEE 802.11a). The FSSs are initially analyzed through simulations performed by commercial software s: Ansoft DesignerTM and HFSSTM. The fractal design methodology is validated by experimental characterization of the built prototypes, using alternatively, different measurement setups, with commercial horn antennas and microstrip monopoles fabricated for low cost measurements

Análise e projeto de superfícies seletivas em frequência multibanda e/ou banda larga

Frequency selective surfaces (Frequency Selective Surface - FSS) are often used in various applications in telecommunications. Some of these applications may require that these structures have response with multiple resonance bands. Other applications require that the FSS response have large frequency range, to meet the necessary requirements. FSS to design with these features there are numerous techniques cited in the scientific literature. Thus, the purpose of this paper is to examine some common techniques such as: Overlap of FSS; Elements combined; Elements Elements convolucionados and fractals. And designing multiband FSS and / or broadband selecting simple ways in terms of construction and occupy the smallest possible space, aiming at practical applications. Given these requirements, three projects FSS were performed: a technology applied to IEEE 802.11 a/b/g/n and two projects for application in UWB. In project development, commercial software Ansoft DesignerTM and experimental results were satisfactory was used

Otimização topológica de estruturas termoelásticas tridimensionais

This work presents an optimization technique based on structural topology optimization methods, TOM, designed to solve problems of thermoelasticity 3D. The presented approach is based on the adjoint method of sensitivity analysis unified design and is intended to loosely coupled thermomechanical problems. The technique makes use of analytical expressions of sensitivities, enabling a reduction in the computational cost through the use of a coupled field adjoint equation, defined in terms the of temperature and displacement fields. The TOM used is based on the material aproach. Thus, to make the domain is composed of a continuous distribution of material, enabling the use of classical models in nonlinear programming optimization problem, the microstructure is considered as a porous medium and its constitutive equation is a function only of the homogenized relative density of the material. In this approach, the actual properties of materials with intermediate densities are penalized based on an artificial microstructure model based on the SIMP (Solid Isotropic Material with Penalty). To circumvent problems chessboard and reduce dependence on layout in relation to the final optimal initial mesh, caused by problems of numerical instability, restrictions on components of the gradient of relative densities were applied. The optimization problem is solved by applying the augmented Lagrangian method, the solution being obtained by applying the finite element method of Galerkin, the process of approximation using the finite element Tetra4. This element has the ability to interpolate both the relative density and the displacement components and temperature. As for the definition of the problem, the heat load is assumed in steady state, i.e., the effects of conduction and convection of heat does not vary with time. The mechanical load is assumed static and distributed

Método de Otimização Topológica em Estruturas Tridimensionais

The topology optimization problem characterize and determine the optimum distribution of material into the domain. In other words, after the definition of the boundary conditions in a pre-established domain, the problem is how to distribute the material to solve the minimization problem. The objective of this work is to propose a competitive formulation for optimum structural topologies determination in 3D problems and able to provide high-resolution layouts. The procedure combines the Galerkin Finite Elements Method with the optimization method, looking for the best material distribution along the fixed domain of project. The layout topology optimization method is based on the material approach, proposed by Bendsoe & Kikuchi (1988), and considers a homogenized constitutive equation that depends only on the relative density of the material. The finite element used for the approach is a four nodes tetrahedron with a selective integration scheme, which interpolate not only the components of the displacement field but also the relative density field. The proposed procedure consists in the solution of a sequence of layout optimization problems applied to compliance minimization problems and mass minimization problems under local stress constraint. The microstructure used in this procedure was the SIMP (Solid Isotropic Material with Penalty). The approach reduces considerably the computational cost, showing to be efficient and robust. The results provided a well defined structural layout, with a sharpness distribution of the material and a boundary condition definition. The layout quality was proporcional to the medium size of the element and a considerable reduction of the project variables was observed due to the tetrahedrycal element

Projeto de absorvedores de micro-ondas integrados com superfícies seletivas em frequência

Considering the fact that, the use of wireless communication systems has grown too fast, investigations concerning absorbers of electromagnetic waves has called closer attention of researchers. It is applicable from indoor systems to military applications. Paralleling with this growth, some extremely relevant investigations through Frequency Selective Surfaces (FSS) allows its filter property to be applicable in several systems, for example: reflector antennas, band-pass radomes, and absorbers, which are the main objective of this work. Therefore, the main goal of this work concerns to design micro-waves absorbers through FSS. Thus, the methodology consists basically in two steps: the first step concerns a theoretical and numerical analysis of the structures involved in the process of absorption, the second step, the analysis of the cascaded structures. In order to carry out the analysis, the Equivalent Circuit Method will be used. This method provides characteristics of transmission from the structure, for a plane wave incidence and it requires an extremely limited computing resource in relation if compared to full wave analyses method. Hence, it is useful to allow fast predictions of the development of the structures. Furthermore, a spreading matrix will be used in order to cascade the conductive FSS and the resistive FSS achieving absorption characteristics in the designed band. The experimental results used for the analysis are found in the literature due to the difficulty of building soon, given that it is not a simple construction technique. To conclude, a mathematical development through the Equivalent Circuit Method of a FSS modeling with cross-dipole geometry and a resistive FSS will be presented, as well as the cascading involving the two structures. The same setting is used with a square loop geometry. Besides it, the next steps will be discussed in the conclusion.

Método híbrido para projeto de superfícies seletivas em frequência

This thesis presents a hybrid technique of frequency selective surfaces project (FSS) on a isotropic dielectric layer, considering various geometries for the elements of the unit cell. Specifically, the hybrid technique uses the equivalent circuit method in conjunction with genetic algorithm, aiming at the synthesis of structures with response single-band and dual-band. The equivalent circuit method allows you to model the structure by using an equivalent circuit and also obtaining circuits for different geometries. From the obtaining of the parameters of these circuits, you can get the transmission and reflection characteristics of patterned structures. For the optimization of patterned structures, according to the desired frequency response, Matlab™ optimization tool named optimtool proved to be easy to use, allowing you to explore important results on the optimization analysis. In this thesis, numeric and experimental results are presented for the different characteristics of the analyzed geometries. For this, it was determined a technique to obtain the parameter N, which is based on genetic algorithms and differential geometry, to obtain the algebraic rational models that determine values of N more accurate, facilitating new projects of FSS with these geometries. The optimal results of N are grouped according to the occupancy factor of the cell and the thickness of the dielectric, for modeling of the structures by means of rational algebraic equations. Furthermore, for the proposed hybrid model was developed a fitness function for the purpose of calculating the error occurred in the definitions of FSS bandwidths with transmission features single band and dual band. This thesis deals with the construction of prototypes of FSS with frequency settings and band widths obtained with the use of this function. The FSS were initially reviewed through simulations performed with the commercial software Ansoft Designer ™, followed by simulation with the equivalent circuit method for obtaining a value of N in order to converge the resonance frequency and the bandwidth of the FSS analyzed, then the results obtained were compared. The methodology applied is validated with the construction and measurement of prototypes with different geometries of the cells of the arrays of FSS.

Método híbrido para projeto de superfícies seletivas em frequência

This thesis presents a hybrid technique of frequency selective surfaces project (FSS) on a isotropic dielectric layer, considering various geometries for the elements of the unit cell. Specifically, the hybrid technique uses the equivalent circuit method in conjunction with genetic algorithm, aiming at the synthesis of structures with response single-band and dual-band. The equivalent circuit method allows you to model the structure by using an equivalent circuit and also obtaining circuits for different geometries. From the obtaining of the parameters of these circuits, you can get the transmission and reflection characteristics of patterned structures. For the optimization of patterned structures, according to the desired frequency response, Matlab™ optimization tool named optimtool proved to be easy to use, allowing you to explore important results on the optimization analysis. In this thesis, numeric and experimental results are presented for the different characteristics of the analyzed geometries. For this, it was determined a technique to obtain the parameter N, which is based on genetic algorithms and differential geometry, to obtain the algebraic rational models that determine values of N more accurate, facilitating new projects of FSS with these geometries. The optimal results of N are grouped according to the occupancy factor of the cell and the thickness of the dielectric, for modeling of the structures by means of rational algebraic equations. Furthermore, for the proposed hybrid model was developed a fitness function for the purpose of calculating the error occurred in the definitions of FSS bandwidths with transmission features single band and dual band. This thesis deals with the construction of prototypes of FSS with frequency settings and band widths obtained with the use of this function. The FSS were initially reviewed through simulations performed with the commercial software Ansoft Designer ™, followed by simulation with the equivalent circuit method for obtaining a value of N in order to converge the resonance frequency and the bandwidth of the FSS analyzed, then the results obtained were compared. The methodology applied is validated with the construction and measurement of prototypes with different geometries of the cells of the arrays of FSS.