Cette thèse se compose de deux chapitres distincts. Les problématiques abordées y sont différentes, mais ils ont en commun de relier des objets de nature géométrique à des objets issus de la théorie de Hodge p-adique. Les résultats du premier chapitre s’inscrivent dans le cadre du programme de Langlands p-adique. Nous décrivons le complexe de de Rham des revêtements du demi-plan de Drinfeld pour GL_2(Q_p). Cette description, conjecturée par Breuil et Strauch, fournit une réalisation géométrique de la correspondance de Langlands locale $p$-adique pour certaines représentations de de Rham de dimension 2 du groupe de Galois absolu de Q_p. Le second chapitre est consacré à l’étude de la catégorie des espaces de Banach-Colmez. Notre résultat principal est une description de cette catégorie abélienne en termes de la catégorie des faisceaux cohérents sur la courbe de Fargues-Fontaine. Au passage, nous démontrons quelques résultats d’intérêt indépendant sur la cohomologie pro-étale et la cohomologie syntomique des variétés rigides. / This PhD thesis contains two chapters. The topics of these two chapters are quite different, but they have in common to draw connections between geometric objects and objects which come from p-adic Hodge theory. The framework of the first chapter is the p-adic Langlands program. We describe the de Rham complex of the étale overings of Drinfeld's p-adic upper half-plane for GL_2(Q_p). Conjectured by Breuil and Strauch, this description gives a geometric realization of the p-adic local Langlands correspondence for certain two-dimensional de Rham representations of the absolute Galois group of Q_p. The second chapter is devoted to the study of the category of Banach-Colmez spaces. Our main result is a precise description of this abelian category in terms of the category of coherent sheaves on the Fargues-Fontaine. Along the way we also prove a few results of independent interest about the pro-étale cohomology and syntomic cohomology of rigid spaces.

En el presente trabajo de investigación se expone una propuesta de diseño de pavimentos rígidos para subrasantes limo-arenosas susceptibles a erosión con la finalidad de determinar el espesor óptimo de la losa de concreto hidráulico. Este procedimiento fue desarrollado para actuar en zonas donde se presentan fenómenos periódicos y extremos (fenómeno del niño), que ocasionan que el suelo de subrasante pierda su capacidad de soporte hasta alcanzar valores insuficientes (3%≤CBR<6%) a inadecuadas (CBR<3%). La propuesta metodológica usa la guía de diseño AASHTO 1993, resultados de ensayos de métodos de prueba estándar para la relación de soporte de california de laboratorios de suelos compactados y los resultados de ensayos de campo (densidad del suelo por el cono de arena). El procedimiento se desarrolla determinando las propiedades físicas y mecánicas de suelos de subrasantes en su condición operante o natural y evaluando la influencia de los resultados de C.B.R. medidas a densidad natural y al 95%MDS del ensayo de Proctor Modificado como inputs en el diseño. Estos son analizados y comparados en términos de pérdida de capacidad de soporte experimentada en subrasantes en esa condición extrema o crítica y demostrar si en esta condición tiene impacto significativo en el espesor de la losa de concreto hidráulico en términos técnico-económicos. La propuesta es dada como soporte técnico o recomendación técnica para mejorar la práctica de la ciencia del diseño y construcción de caminos viales en el Perú en condiciones similares de fundación y climáticos. / In the present work of investigation, a proposal of design of rigid pavements is exposed with subbasement sandy silts susceptible to erosion to determine the optimum thickness of the slab of hydraulics concrete. This procedure was developed to act in areas where extreme periodic phenomena occur (child phenomenon) that cause the subgrade soil to lose its support capacity until reaching insufficient values (3% ≤CBR <6%) to inadequate (CBR <3 %). The methodological proposal uses the AASHTO 1993 methodology, the test results of standard test methods for the California support relationship of compacted soil laboratories and the results of field tests (soil density by the sand cone). The procedure is developed by determining the physical and mechanical properties of subgrade soils in their operating or natural condition and evaluating the results as inputs in the design. This is analyzed in terms of loss of support capacity experienced in subgrades in that extreme or critical condition and to demonstrate if the impact is significant on the thickness of the hydraulic concrete slab in economic technical terms. The proposal is given as technical support for the practice in road engineering in Peru before the possible problems that could arise due to ignorance in supervisors and designers in similar conditions of foundation and climate. / Tesis

The thesis is about static analysis of moving skyscraper (inspired by The Dynamic Tower). There is a rotation of each particular floor around its axis independently on each other. In this thesis, moving skyscraper is solved as a whole piece with specialization in the moving floors and their mounting on the core of the building.

This thesis contains a design of a steel structure of two-bay industrial hall with an administrative facility in the city of Brno. There are 3 variants of solution for industrial steel hall with duopitch roof with overall dimensions 60x74 m and detailed structural analysis of the first variant. Height of the hall is 10,5 m. Main structure of the roof is designed as frames from steel profiles with purlins from cold rolled sections, a span of frames is 30 m. The material of main frames is steel S355, material of purlins is S450. The hall is equipped by overhead crane with loading capacity 5 tons. Bolted connections will be done with maximal stiffness and feasibility of the structure. The administrative facility is designed as an independent building with 3 floors, the floor plan is semicircular with diameter 48 m.

The thesis deals with the processes that occur in the course of the manufacturing of rigid polyurethane-polyisocyanurate (PU-PIR) foams, their properties and technology. It deals above all with principles of foam nucleation and stability. The purpose of understanding these principles is their possible use for improving thermo-insulating properties of the material. The experimental part of the thesis studies the influence of additives and ultrasound on the PU-PIR foam properties. It has been found that low molecular weight compounds with perfluorinated chain leads to decreasing foam cell size and its lower thermal conductivity. The additives mentioned act probably on the surfactants principle by facilitating nucleation and stabilizing growing centres of bubbles. They probably form also part of blowing agents mixture inside the foam cells which cause lowering of thermal conductivity as well. Compounds with similar chemical structure have unique influence on the properties of rigid PU-PIR foams. Further research ought to be focused on cheaper modes of producing perfluorinated compounds.

Master's Thesis is about the techniques of creating a small executable program with size limited to 64kB. Describes one of the possible ways to use OpenGL for such purposes. With more detail describe the rigid body simulation, creating shaders, dynamic generating of texture and make music in intro scene applications. Presents using of WinApi to create windows, V2 synthetizer for sound and GLSL language for creating shaders. Everything is demonstratively created under Windows.

The aim of the presented thesis is to create a compact publication which deals with properties, solution and examination of behavior of dynamical systems as models of mechanical structures. The opening portion of the theoretical part leads the reader through the subject of description of dynamical systems, offers solution methods and investigates solution stability. As the introduction proceeds, possible forms of structure loading, damping and response are presented. Following chapters discuss extensively the possible approaches to system behavior observation and identification of nonlinear and chaotic phenomena. The attention is also paid to displaying methods and color spaces as these are essential for the examination of complex and sensitive systems. The theoretical part of the thesis ends with an introduction to fractal geometry. As the theoretical background is laid down, the thesis proceeds with an application of the knowledge and shows the approach to numerical simulation and study of models of real structures. First, the reader is introduced to the single pendulum model, as the simplest model to exhibit chaotic behavior. The following double pendulum model shows the obstacles of observing systems with more state variables. The models of free rod and cantilever serve as examples of real structure models with many degrees of freedom. These models show even more that a definite or at least sufficiently relevant monitoring of behavior of such deterministic systems is a challenging task which requires sophisticated approach.

Diploma thesis deals with the design and assessment of the load bearing structure of a multi-storey building, proposed by the combination of two materials, steel and glued laminated timber. The building has a V-shape, the angle between legs is 120 °. Floor plan dimensions of one arm of the building are approximately 40x20m, building height is 24.3 meters. The building is designed with a flat green roof. The load bearing structure is solved as a heavy frame, lower three floors are made of steel and serves as the business premises, top four floors are residential, and their structure is designed of the glued laminated timber. Bracing of the whole structure is solved by a system of crossed steel rods.

Cílem předkládané diplomové práce je pomocí lícování obrazů přesně popsat distorzní pole pro následné odstranění geometrické distorze. Snímky zkreslené geometrickou distorzí pochází z prozařovacího elektronového mikroskopu. První část práce se zabývá zejména teorií spojenou s elektronovou mikroskopií, vznikem geometrické distorze a samotnou obrazovou registrací s důrazem na intenzitní flexibilní metody lícování. Ve druhé části je pak představena vytvořená metoda pro modelování geometrické distorze a lícování obrazů postižených slabou geometrickou distorzí. Vyvinutá metoda je následně otestována na testovacích i reálných datech a srovnána s existujícími popsanými metodami pro obrazovou registraci (například open-source softwarem Elastix).

V této diplomové práci je provedena optimalizace profilu křídla vybaveného elastickou klapkou umístěnou na horní straně profilu. Optimalizační proces je proveden s vyžitím CFD prostředků, konkrétně URANS metody. V prvních kapitolách je popsána historie vývoje křídla vybaveného pohyblivými klapkami. Práce pokračuje popisem a zdůvodněním volby numerické metody. Vytvoření geometrie a výpočetní sítě je krátce popsáno. V práci je také prezentována validace a verifikace dané výpočetní metody. Případová studie je zaměřena na profil LS(1)-0417mod vybavený 20%, 30% a 40% dlouhou, pevnou kalpkou na různých úhlech náběhu. Aerodynamická účinnost společně s proudovým polem je analyzována. Je provedena nelineární pevnostní analýza s využitím MKP programu za účelem vyhodnocení ohybové tuhosti a deformovaného tvaru elastické klapky tak, aby byly splněný podmínky nutné pro automatické vychýlení.