Optimización de cimentaciones directas de medianería y esquina mediante modelos de elementos finitos

Existe un amplio catálogo de posibles soluciones para resolver la problemática de las zapatas de medianería así como, por extensión, las zapatas de esquina como caso particular de las anteriores. De ellas, las más habitualmente empleadas en estructuras de edificación son, por un lado, la utilización de una viga centradora que conecta la zapata de medianería con la zapata del pilar interior más próximo y, por otro, la colaboración de la viga de la primera planta trabajando como tirante. En la primera solución planteada, el equilibrio de la zapata de medianería y el centrado de la respuesta del terreno se consigue gracias a la colaboración del pilar interior con su cimentación y al trabajo a flexión de la viga centradora. La modelización clásica considera que se logra un centrado total de la reacción del terreno, con distribución uniforme de las tensiones de contacto bajo ambas zapatas. Este planteamiento presupone, por tanto, que la viga centradora logra evitar cualquier giro de la zapata de medianería y que el pilar puede, por ello, considerarse perfectamente empotrado en la cimentación. En este primer modelo, el protagonismo fundamental recae en la viga centradora, cuyo trabajo a flexión conduce frecuentemente a unas escuadrías y a unas cuantías de armado considerables. La segunda solución, plantea la colaboración de la viga de la primera planta, trabajando como tirante. De nuevo, los métodos convencionales suponen un éxito total en el mecanismo estabilizador del tirante, que logra evitar cualquier giro de la zapata de medianería, dando lugar a una distribución de tensiones también uniforme. Los modelos convencionales existentes para el cálculo de este tipo de cimentaciones presentan, por tanto, una serie de simplificaciones que permiten el cálculo de las mismas, por medios manuales, en un tiempo razonable, pero presentan el inconveniente de su posible alejamiento del comportamiento real de la cimentación, con las consecuencias negativas que ello puede suponer en el dimensionamiento de estos elementos estructurales. La presente tesis doctoral desarrolla un contraste de los modelos convencionales de cálculo de cimentaciones de medianería y esquina, mediante un análisis alternativo con modelos de elementos finitos, con el objetivo de poner de manifiesto las diferencias entre los resultados obtenidos con ambos tipos de modelización, analizar cuáles son las variables que más influyen en el comportamiento real de este tipo de cimentaciones y proponer un nuevo modelo de cálculo, de tipo convencional, más ajustado a la realidad. El proceso de investigación se desarrolla mediante una etapa experimental virtual que utiliza como modelo un pórtico tipo de edificación, ortogonal, de hormigón armado, con dos vanos y número variable de plantas. Tras identificar el posible giro de la cimentación como elemento clave en el comportamiento de las zapatas de medianería y de esquina, se adoptan como variables de estudio aquellas que mayor influencia puedan tener sobre el citado giro de las zapatas y sobre la rigidez del conjunto del elemento estructural. Así, se han estudiado luces de 3 m a 7 m, diferente número de plantas desde baja+1 hasta baja+4, resistencias del terreno desde 100 kN/m2 hasta 300 kN/m2, relaciones de forma de la zapata de medianería de 1,5 : 1 y 2 : 1, aumento y reducción de la cuantía de armado de la viga centradora y variación del canto de la viga centradora desde el mínimo canto compatible con el anclaje de la armadura de los pilares hasta un incremento del 75% respecto del citado canto mínimo. El conjunto de pórticos generados al aplicar las variables indicadas, se ha calculado tanto por métodos convencionales como por el método de los elementos finitos. Los resultados obtenidos ponen de manifiesto importantes discrepancias entre ambos métodos que conducen a importantes diferencias en el dimensionamiento de este tipo de cimentaciones. El empleo de los métodos tradicionales da lugar, por un lado, a un sobredimensionamiento de la armadura de la viga centradora y, por otro, a un infradimensionamiento, tanto del canto de la viga centradora, como del tamaño de la zapata de medianería y del armado de la viga de la primera planta. Finalizado el análisis y discusión de resultados, la tesis propone un nuevo método alternativo, de carácter convencional y, por tanto, aplicable a un cálculo manual en un tiempo razonable, que permite obtener los parámetros clave que regulan el comportamiento de las zapatas de medianería y esquina, conduciendo a un dimensionamiento más ajustado a las necesidades reales de este tipo de cimentación. There is a wide catalogue of possible solutions to solve the problem of party shoes and, by extension, corner shoes as a special case of the above. From all of them, the most commonly used in building structures are, on one hand, the use of a centering beam that connects the party shoe with the shoe of the nearest interior pillar and, on the other hand, the collaboration of the beam of the first floor working as a tie rod. In the first proposed solution, the balance of the party shoe and the centering of the ground response is achieved thanks to the collaboration of the interior pillar with his foundation along with the bending work of the centering beam. Classical modeling considers that a whole centering of the ground reaction is achieved, with uniform contact stress distribution under both shoes. This approach to the issue presupposes that the centering beam manages to avoid any rotation of the party shoe, so the pillar can be considered perfectly embedded in the foundation. In this first model, the leading role lies in the centering beam, whose bending work usually leads to important section sizes and high amounts of reinforced. The second solution, consideres the collaboration of the beam of the first floor, working as tie rod. Again, conventional methods involve a total success in the stabilizing mechanism of the tie rod, that manages to avoid any rotation of the party shoe, resulting in a stress distribution also uniform. Existing conventional models for calculating such foundations show, therefore, a series of simplifications which allow calculation of the same, by manual means, in a reasonable time, but have the disadvantage of the possible distance from the real behavior of the foundation, with the negative consequences this could bring in the dimensioning of these structural elements. The present thesis develops a contrast of conventional models of calculation of party and corner foundations by an alternative analysis with finite element models with the aim of bring to light the differences between the results obtained with both types of modeling, analysis which are the variables that influence the real behavior of this type of foundations and propose a new calculation model, conventional type, more adjusted to reality. The research process is developed through a virtual experimental stage using as a model a typical building frame, orthogonal, made of reinforced concrete, with two openings and variable number of floors. After identifying the possible spin of the foundation as the key element in the behavior of the party and corner shoes, it has been adopted as study variables, those that may have greater influence on the spin of the shoes and on the rigidity of the whole structural element. So, it have been studied lights from 3 m to 7 m, different number of floors from lower floor + 1 to lower floor + 4, máximum ground stresses from 100 kN/m2 300 kN/m2, shape relationships of party shoe 1,5:1 and 2:1, increase and decrease of the amount of reinforced of the centering beam and variation of the height of the centering beam from the minimum compatible with the anchoring of the reinforcement of pillars to an increase of 75% from the minimum quoted height. The set of frames generated by applying the indicated variables, is calculated both by conventional methods such as by the finite element method. The results show significant discrepancies between the two methods that lead to significant differences in the dimensioning of this type of foundation. The use of traditional methods results, on one hand, to an overdimensioning of the reinforced of the centering beam and, on the other hand, to an underdimensioning, both the height of the centering beam, such as the size of the party shoe and the reinforced of the beam of the first floor. After the analysis and discussion of results, the thesis proposes a new alternative method, conventional type and, therefore, applicable to a manual calculation in a reasonable time, that allows to obtain the key parameters that govern the behavior of party and corner shoes, leading to a dimensioning more adjusted to the real needings of this type of foundation.

Calibración geométrica de cámaras no métricas. Estudio de metodologías y modelos matemáticos de distorsión

La Fotogrametría, como ciencia y técnica de obtención de información tridimensional del espacio objeto a partir de imágenes bidimensionales, requiere de medidas de precisión y en ese contexto, la calibración geométrica de cámaras ocupa un lugar importante. El conocimiento de la geometría interna de la cámara es fundamental para lograr mayor precisión en las medidas realizadas. En Fotogrametría Aérea se utilizan cámaras métricas (fabricadas exclusivamente para aplicaciones cartográficas), que incluyen objetivos fotográficos con sistemas de lentes complejos y de alta calidad. Pero en Fotogrametría de Objeto Cercano se está trabajando cada vez con más asiduidad con cámaras no métricas, con ópticas de peor calidad que exigen una calibración geométrica antes o después de cada trabajo. El proceso de calibración encierra tres conceptos fundamentales: modelo de cámara, modelo de distorsión y método de calibración. El modelo de cámara es un modelo matemático que aproxima la transformación proyectiva original a la realidad física de las lentes. Ese modelo matemático incluye una serie de parámetros entre los que se encuentran los correspondientes al modelo de distorsión, que se encarga de corregir los errores sistemáticos de la imagen. Finalmente, el método de calibración propone el método de estimación de los parámetros del modelo matemático y la técnica de optimización a emplear. En esta Tesis se propone la utilización de un patrón de calibración bidimensional que se desplaza en la dirección del eje óptico de la cámara, ofreciendo así tridimensionalidad a la escena fotografiada. El patrón incluye un número elevado de marcas, lo que permite realizar ensayos con distintas configuraciones geométricas. Tomando el modelo de proyección perspectiva (o pinhole) como modelo de cámara, se realizan ensayos con tres modelos de distorsión diferentes, el clásico de distorsión radial y tangencial propuesto por D.C. Brown, una aproximación por polinomios de Legendre y una interpolación bicúbica. De la combinación de diferentes configuraciones geométricas y del modelo de distorsión más adecuado, se llega al establecimiento de una metodología de calibración óptima. Para ayudar a la elección se realiza un estudio de las precisiones obtenidas en los distintos ensayos y un control estereoscópico de un panel test construido al efecto. ABSTRACT Photogrammetry, as science and technique for obtaining three-dimensional information of the space object from two-dimensional images, requires measurements of precision and in that context, the geometric camera calibration occupies an important place. The knowledge of the internal geometry of the camera is fundamental to achieve greater precision in measurements made. Metric cameras (manufactured exclusively for cartographic applications), including photographic lenses with complex lenses and high quality systems are used in Aerial Photogrammetry. But in Close Range Photogrammetry is working increasingly more frequently with non-metric cameras, worst quality optical components which require a geometric calibration before or after each job. The calibration process contains three fundamental concepts: camera model, distortion model and method of calibration. The camera model is a mathematical model that approximates the original projective transformation to the physical reality of the lenses. The mathematical model includes a series of parameters which include the correspondents to the model of distortion, which is in charge of correcting the systematic errors of the image. Finally, the calibration method proposes the method of estimation of the parameters of the mathematical modeling and optimization technique to employ. This Thesis is proposing the use of a pattern of two dimensional calibration that moves in the direction of the optical axis of the camera, thus offering three-dimensionality to the photographed scene. The pattern includes a large number of marks, which allows testing with different geometric configurations. Taking the projection model perspective (or pinhole) as a model of camera, tests are performed with three different models of distortion, the classical of distortion radial and tangential proposed by D.C. Brown, an approximation by Legendre polynomials and bicubic interpolation. From the combination of different geometric configurations and the most suitable distortion model, brings the establishment of a methodology for optimal calibration. To help the election, a study of the information obtained in the various tests and a purpose built test panel stereoscopic control is performed.

Classical solutions for a logarithmic fractional diffusion equation

We prove global existence and uniqueness of strong solutions to the logarithmic porous medium type equation with fractional diffusion ?tu + (?)1/2 log(1 + u) = 0, posed for x ? R, with nonnegative initial data in some function space of LlogL type. The solutions are shown to become bounded and C? smooth in (x, t) for all positive times. We also reformulate this equation as a transport equation with nonlocal velocity and critical viscosity, a topic of current relevance. Interesting functional inequalities are involved.

Antonio Vallejo Álvarez: arquitectura de la sensatez

La presente tesis doctoral desarrolla la obra del arquitecto Antonio Vallejo Álvarez (n. 1903, t. 1928, f. 2002) cuya larga carrera profesional permite observar una evolución que tiene como fondo la de la arquitectura española desde los planteamientos academicistas de principios del siglo XX, pasando por el primer racionalismo, hasta la influencia del Movimiento Moderno. Antonio Vallejo nació en Almonacid de Zorita, un pueblo de la provincia de Guadalajara pequeño pero singular ya que entonces se construía el Salto de Bolarque, instalación energética crucial en la época que albergaba además elementos de arquitectura culta. La familia le envió a Madrid a estudiar en las Escuelas Pías de San Fernando y luego en la vieja escuela de arquitectura de la calle Escritorios perteneciente a la Real Academia de Bellas Artes de San Fernando. Terminada la carrera realizó unas primeras edificaciones de corte historicista con relativa abundancia de estilemas academicista que van desapareciendo paulatinamente a la vez que evolucionan hacia el “decó”. De esta depuración, que puede observarse muy bien en los números 69,73 y 62 de la calle Viriato de Madrid, resulta un primer racionalismo en el que las balconadas y cuerpos volados se apoyan sobre una trama racionalista ortogonal cada vez más rígida. Simultáneamente trabajó en esta época en la Oficina de Información sobre la Ciudad del Ayuntamiento de Madrid junto a Bernardo Giner de los Ríos y Fernando García Mercadal, entre otros. Más tarde se incorporó a las órdenes del primero a la Oficina de Construcciones escolares donde se mantuvo hasta el estallido de la guerra civil. Al amparo de la Ley Salmón fundó la empresa promotora de viviendas Ar-In donde realizó una arquitectura en la que la trama racionalista cobra una gran fuerza expresiva, matizada y potenciada por grandes balcones aterrazados de corte higienista. Sus exponentes máximos son el conjunto en la calle Narváez esquina a Alcalde Sáinz de Baranda, y la manzana de Guzmán el Bueno, 75 de Madrid. La guerra civil interrumpe el proceso y tras ella nuestro autor ensaya la supervivencia del racionalismo mediante la superposición de la trama en grandes cuerpos de alzado de ladrillo ocupando las plantas de pisos, sobre un basamento de granito en la planta baja y una especie de pórtico enmarcando los huecos del ático a modo de remate. En las ventanas se colocan embocaduras de caliza de diversas formas. Esta arquitectura, muy en la línea del gusto de la época, será sublimada mediante un magnífico ejemplo de manierismo en su gran obra de la Residencia de los Agustinos Recoletos y la Iglesia de Santa Rita de Madrid. Superados los al menos tres lustros de postguerra, Vallejo inicia un proceso que podríamos llamar estructuralista en la medida en que la asunción de la situación de la estructura en el edificio y el módulo por ella creada definen sus características formales. Aquí, tras trabajar el hormigón armado en algunos edificios como los del Residencial Bellas Vistas de Madrid, lo hace con mucho más convencimiento en edificios con estructuras de acero como el colegio del Sagrado Corazón de Guadalajara. Es también importante hablar de la provincia de Almería, a cuya capital llega nuestro arquitecto inmediatamente después de la guerra civil para alejarse de las indeseables consecuencias que hubiera podido tener su fidelidad al gobierno de la República con el que colaboró hasta el último momento. En la ciudad desarrolló una extensa labor como constructor a través de Duarín SA, que se había formado sobre los restos de su promotora. También como arquitecto, con una labor paralela a la madrileña pero con menor presión ambiental, lo que contribuyó a que en cierta medida el proceso de afloramiento de su arquitectura estructuralista, heredera lejana de su primer racionalismo, fuese más rápido, como prueban realizaciones como los edificios de la calle Juan Pérez, 18 y del Paseo de la Estación, 19. ABSTRACT This thesis deals with the works in architecture from Antonio Vallejo Álvarez (b. 1903, g. 1928, d. 2002) whose long career enables us to concentrate on the evolution of the Spanish Architecture from the Academicism taking place at the beginning of XXth century , until the influence of the Modern Movement, taking also into account Racionalism. Antonio Vallejo was born in Almonacid de Zorita, a village in the province of Guadalajara small but unique because then Salto de Bolarque the crucial energy facility at the time also housed elements of classical architecture is built. His family sent him to study to Madrid in Escuelas Pías de San Fernando first, and then he attended lessons in the old Architecture school from Escritorios street belonging this last one to la Real Academia de Bellas Artes de San Fernando. Once he finished his degree on Architecture, he worked on some historicist buildings with a great use of academicist stylemes which will be disappearing little by little, turning into “deco”. From this depurationn, whose traces can be found in 69, 73, 62 at Viriato street in Madrid, our architect ends up with a first racionalism in which balconies and flown bodies are suspended on a racionalist and orthogonal more and more rigid. At that time, he was also working in the Information Office in Madrid Town Hall together with Bernardo Giner de los Ríos y Fernando García Mercadal, among others. Later, he worked for Bernardo Giner de los Ríos in the School Building Offices until the breaking out of the Civil War. Under Salmón law, he founded a developer for buildings named Ar-In, where he developed a type of Architecture in which racionalism develops a magnificent expressive force, empowered by great terraced balconies with higienistain court. His great masterpieces at this time are the buildings from Narvaez opposite to Alcalde Sáinz de Baranda and the block in 75 Guzmán El Bueno, in Madrid. Civil war interrupts somehow his process and once the war is over, our architect works on the survival of racionalism by overlapping on large bodies of brick elevation occupying different floor plants, on a base of granite on the ground floor and a sort of portico framing the gaps in the attic by way of auction. On the Windows he se colocan embocaduras de caliza de diversas formas. This type of architecture, very much enjoyed at that time, will be sublimed as a great example of manierism in his great work such as the case of Agustinos Recoletos Residence and Santa Rita Church in Madrid. About fifteen years after the war, in the post-war era, Vallejo starts a process which we could call structuralist, as lons as the asumption from the situation of the structure in the building and the created module define his main features. Here, once our architect works with reinforce concrete in some of his buildings such as Residencial Bellas Vistas de Madrid, he improves his technique with steel strucutres such as the on in the school Sagrado Corazón in Guadalajara. It is also remarkable to speak about the province of Almería, where our architect arrives inmediately after the civil war, to get rid of the consequences of his loyalty to the Republic movement to which he collaborated until his death. He developed a great career as a builder there through Duarín SA, which was launched though his former enterprise. Similary as the way he worked in Madrid,he, also as an arquitect, did his work in Almería with less environmental pressure though, fact which contributed to the flourishing of the structuralist architecture, as an heir from his first racionalism, as it can be shown from buildings in streets such as 18 Juan Pérez, and 19 Paseo de la Estación.

Bivariate Krawtchouk polynomials: Inversion and connection problems with the NAVIMA algorithm

In this paper we present a recurrent procedure to solve an inversion problem for monic bivariate Krawtchouk polynomials written in vector column form, giving its solution explicitly. As a by-product, a general connection problem between two vector column of monic bivariate Krawtchouk families is also explicitly solved. Moreover, in the non monic case and also for Krawtchouk families, several expansion formulas are given, but for polynomials written in scalar form.

The negative feedback actions of progesterone on gonadotropinreleasing hormone secretion are transduced by the classical progesterone receptor

Progesterone (P) powerfully inhibits gonadotropin-releasing hormone (GnRH) secretion in ewes, as in other species, but the neural mechanisms underlying this effect remain poorly understood. Using an estrogen (E)-free ovine model, we investigated the immediate GnRH and luteinizing hormone (LH) response to acute manipulations of circulating P concentrations and whether this response was mediated by the nuclear P receptor. Simultaneous hypophyseal portal and jugular blood samples were collected over 36 hr: 0–12 hr, in the presence of exogenous P (P treatment begun 8 days earlier); 12–24 hr, P implant removed; 24–36 hr, P implant reinserted. P removal caused a significant rapid increase in the GnRH pulse frequency, which was detectable within two pulses (175 min). P insertion suppressed the GnRH pulse frequency even faster: the effect detectable within one pulse (49 min). LH pulsatility was modulated identically. The next two experiments demonstrated that these effects of P are mediated by the nuclear P receptor since intracerebroventricularly infused P suppressed LH release but 3α-hydroxy-5α-pregnan-20-one, which operates through the type A γ-aminobutyric acid receptor, was without effect and pretreatment with the P-receptor antagonist RU486 blocked the ability of P to inhibit LH. Our final study showed that P exerts its acute suppression of GnRH through an E-dependent system because the effects of P on LH secretion, lost after long-term E deprivation, are restored after 2 weeks of E treatment. Thus we demonstrate that P acutely inhibits GnRH through an E-dependent nuclear P-receptor system.

Double-level “orthogonal” dynamic combinatorial libraries on transition metal template

Dynamic combinatorial libraries are mixtures of compounds that exist in a dynamic equilibrium and can be driven to compositional self adaptation via selective binding of a specific assembly of certain components to a molecular target. We present here an extension of this initial concept to dynamic libraries that consists of two levels, the first formed by the coordination of terpyridine-based ligands to the transition metal template, and the second, by the imine formation with the aldehyde substituents on the terpyridine moieties. Dialdehyde 7 has been synthesized, converted into a variety of ligands, oxime ethers L11–L33 and acyl hydrazones L44–L77, and subsequently into corresponding cobalt complexes. A typical complex, Co(L22)22+ is shown to engage in rapid exchange with a competing ligand L11 and with another complex, Co(L22)22+ in 30% acetonitrile/water at pH 7.0 and 25°C. The exchange in the corresponding Co(III) complexes is shown to be much slower. Imine exchange in the acyl hydrazone complexes (L44–L77) is strongly controlled by pH and temperature. The two types of exchange, ligand and imine, can thus be used as independent equilibrium processes controlled by different types of external intervention, i.e., via oxidation/reduction of the metal template and/or change in the pH/temperature of the medium. The resulting double-level dynamic libraries are therefore named orthogonal, in similarity with the orthogonal protecting groups in organic synthesis. Sample libraries of this type have been synthesized and showed the complete expected set of components in electrospray ionization MS.

Orthogonal combinatorial mutagenesis: a codon-level combinatorial mutagenesis method useful for low multiplicity and amino acid-scanning protocols

We describe here a method to generate combinatorial libraries of oligonucleotides mutated at the codon-level, with control of the mutagenesis rate so as to create predictable binomial distributions of mutants. The method allows enrichment of the libraries with single, double or larger multiplicity of amino acid replacements by appropriate choice of the mutagenesis rate, depending on the concentration of synthetic precursors. The method makes use of two sets of deoxynucleoside-phosphoramidites bearing orthogonal protecting groups [4,4′-dimethoxytrityl (DMT) and 9-fluorenylmethoxycarbonyl (Fmoc)] in the 5′ hydroxyl. These phosphoramidites are divergently combined during automated synthesis in such a way that wild-type codons are assembled with commercial DMT-deoxynucleoside-methyl-phosphoramidites while mutant codons are assembled with Fmoc-deoxynucleoside-methyl-phosphoramidites in an NNG/C fashion in a single synthesis column. This method is easily automated and suitable for low mutagenesis rates and large windows, such as those required for directed evolution and alanine scanning. Through the assembly of three oligonucleotide libraries at different mutagenesis rates, followed by cloning at the polylinker region of plasmid pUC18 and sequencing of 129 clones, we concluded that the method performs essentially as intended.

A positivity result in the theory of Macdonald polynomials

We outline here a proof that a certain rational function Cn(q, t), which has come to be known as the “q, t-Catalan,” is in fact a polynomial with positive integer coefficients. This has been an open problem since 1994. Because Cn(q, t) evaluates to the Catalan number at t = q = 1, it has also been an open problem to find a pair of statistics a, b on the collection

Parametrizations of elliptic curves by Shimura curves and by classical modular curves

Fix an isogeny class

Zeta functions and Eisenstein series on classical groups

We construct an Euler product from the Hecke eigenvalues of an automorphic form on a classical group and prove its analytic continuation to the whole complex plane when the group is a unitary group over a CM field and the eigenform is holomorphic. We also prove analytic continuation of an Eisenstein series on another unitary group, containing the group just mentioned defined with such an eigenform. As an application of our methods, we prove an explicit class number formula for a totally definite hermitian form over a CM field.

Positive selection of an MHC class-I restricted TCR in the absence of classical MHC class I molecules

The H-2Ld alloreactive 2C T cell receptor (TCR) is commonly considered as being positively selected on the H-2Kb molecule. Surprisingly, 2C TCR+ CD8+ single-positive T cells emerge in massive numbers in fetal thymic organ culture originating from 2C transgenic, H-2KbDb−/− (2C+KbDb−/−) but not in fetal thymic organ culture from β2-microglobulin−/− 2C transgenic animals. Mature CD8+ T cells are observed in newborn but not in adult 2C+KbDb−/− mice. These CD8+ T cells express the α4β7 integrin, which allows them to populate the intestine, a pattern of migration visualized by intrathymic injection of FITC and subsequent accrual of FITC-labeled lymphocytes in the gut. We conclude that the 2C TCR is reactive not only with H-2Ld and H-2Kb, but also with nonclassical MHC class I products to enable positive selection of 2C+ T cells in the fetal and newborn thymus and to support their maintenance in the intestine.