18 resultados para Incipient Slippage

em Universidad Politécnica de Madrid


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El tema central de investigación en esta Tesis es el estudio del comportamientodinámico de una estructura mediante modelos que describen la distribución deenergía entre los componentes de la misma y la aplicación de estos modelos parala detección de daños incipientes.Los ensayos dinámicos son un modo de extraer información sobre las propiedadesde una estructura. Si tenemos un modelo de la estructura se podría ajustar éstepara que, con determinado grado de precisión, tenga la misma respuesta que elsistema real ensayado. Después de que se produjese un daño en la estructura,la respuesta al mismo ensayo variará en cierta medida; actualizando el modelo alas nuevas condiciones podemos detectar cambios en la configuración del modeloestructural que nos condujeran a la conclusión de que en la estructura se haproducido un daño.De este modo, la detección de un daño incipiente es posible si somos capacesde distinguir una pequeña variación en los parámetros que definen el modelo. Unrégimen muy apropiado para realizar este tipo de detección es a altas frecuencias,ya que la respuesta es muy dependiente de los pequeños detalles geométricos,dado que el tamaño característico en la estructura asociado a la respuesta esdirectamente proporcional a la velocidad de propagación de las ondas acústicas enel sólido, que para una estructura dada es inalterable, e inversamente proporcionala la frecuencia de la excitación. Al mismo tiempo, esta característica de la respuestaa altas frecuencias hace que un modelo de Elementos Finitos no sea aplicable enla práctica, debido al alto coste computacional.Un modelo ampliamente utilizado en el cálculo de la respuesta de estructurasa altas frecuencias en ingeniería es el SEA (Statistical Energy Analysis). El SEAaplica el balance energético a cada componente estructural, relacionando la energíade vibración de estos con la potencia disipada por cada uno de ellos y la potenciatransmitida entre ellos, cuya suma debe ser igual a la potencia inyectada a cadacomponente estructural. Esta relación es lineal y viene caracterizada por los factoresde pérdidas. Las magnitudes que intervienen en la respuesta se consideranpromediadas en la geometría, la frecuencia y el tiempo.Actualizar el modelo SEA a datos de ensayo es, por lo tanto, calcular losfactores de pérdidas que reproduzcan la respuesta obtenida en éste. Esta actualización,si se hace de manera directa, supone la resolución de un problema inversoque tiene la característica de estar mal condicionado. En la Tesis se propone actualizarel modelo SEA, no en término de los factores de pérdidas, sino en términos deparámetros estructurales que tienen sentido físico cuando se trata de la respuestaa altas frecuencias, como son los factores de disipación de cada componente, susdensidades modales y las rigideces características de los elementos de acoplamiento.Los factores de pérdidas se calculan como función de estos parámetros. Estaformulación es desarrollada de manera original en esta Tesis y principalmente sefunda en la hipótesis de alta densidad modal, es decir, que en la respuesta participanun gran número de modos de cada componente estructural.La teoría general del método SEA, establece que el modelo es válido bajounas hipótesis sobre la naturaleza de las excitaciones externas muy restrictivas,como que éstas deben ser de tipo ruido blanco local. Este tipo de carga es difícil dereproducir en condiciones de ensayo. En la Tesis mostramos con casos prácticos queesta restricción se puede relajar y, en particular, los resultados son suficientementebuenos cuando la estructura se somete a una carga armónica en escalón.Bajo estas aproximaciones se desarrolla un algoritmo de optimización por pasosque permite actualizar un modelo SEA a un ensayo transitorio cuando la carga esde tipo armónica en escalón. Este algoritmo actualiza el modelo no solamente parauna banda de frecuencia en particular sino para diversas bandas de frecuencia demanera simultánea, con el objetivo de plantear un problema mejor condicionado.Por último, se define un índice de daño que mide el cambio en la matriz depérdidas cuando se produce un daño estructural en una localización concreta deun componente. Se simula numéricamente la respuesta de una estructura formadapor vigas donde producimos un daño en la sección de una de ellas; como se tratade un cálculo a altas frecuencias, la simulación se hace mediante el Método delos Elementos Espectrales para lo que ha sido necesario desarrollar dentro de laTesis un elemento espectral de tipo viga dañada en una sección determinada. Losresultados obtenidos permiten localizar el componente estructural en que se haproducido el daño y la sección en que éste se encuentra con determinado grado deconfianza.AbstractThe main subject under research in this Thesis is the study of the dynamic behaviourof a structure using models that describe the energy distribution betweenthe components of the structure and the applicability of these models to incipientdamage detection.Dynamic tests are a way to extract information about the properties of astructure. If we have a model of the structure, it can be updated in order toreproduce the same response as in experimental tests, within a certain degree ofaccuracy. After damage occurs, the response will change to some extent; modelupdating to the new test conditions can help to detect changes in the structuralmodel leading to the conclusión that damage has occurred.In this way incipient damage detection is possible if we are able to detect srnallvariations in the model parameters. It turns out that the high frequency regimeis highly relevant for incipient damage detection, because the response is verysensitive to small structural geometric details. The characteristic length associatedwith the response is proportional to the propagation speed of acoustic waves insidethe solid, but inversely proportional to the excitation frequency. At the same time,this fact makes the application of a Finite Element Method impractical due to thehigh computational cost.A widely used model in engineering when dealing with the high frequencyresponse is SEA (Statistical Energy Analysis). SEA applies the energy balance toeach structural component, relating their vibrational energy with the dissipatedpower and the transmitted power between the different components; their summust be equal to the input power to each of them. This relationship is linear andcharacterized by loss factors. The magnitudes considered in the response shouldbe averaged in geometry, frequency and time.SEA model updating to test data is equivalent to calculating the loss factorsthat provide a better fit to the experimental response. This is formulated as an illconditionedinverse problem. In this Thesis a new updating algorithm is proposedfor the study of the high frequency response regime in terms of parameters withphysical meaning such as the internal dissipation factors, modal densities andcharacteristic coupling stiffness. The loss factors are then calculated from theseparameters. The approach is developed entirely in this Thesis and is mainlybased on a high modal density asumption, that is to say, a large number of modescontributes to the response.General SEA theory establishes the validity of the model under the asumptionof very restrictive external excitations. These should behave as a local white noise.This kind of excitation is difficult to reproduce in an experimental environment.In this Thesis we show that in practical cases this assumption can be relaxed, inparticular, results are good enough when the structure is excited with a harmonicstep function.Under these assumptions an optimization algorithm is developed for SEAmodel updating to a transient test when external loads are harmonic step functions.This algorithm considers the response not only in a single frequency band,but also for several of them simultaneously.A damage index is defined that measures the change in the loss factor matrixwhen a damage has occurred at a certain location in the structure. The structuresconsidered in this study are built with damaged beam elements; as we are dealingwith the high frequency response, the numerical simulation is implemented witha Spectral Element Method. It has therefore been necessary to develop a spectralbeam damaged element as well. The reported results show that damage detectionis possible with this algorithm, moreover, damage location is also possible withina certain degree of accuracy.

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A maritime construction is usually a slender line in the ocean.It is usual to see just its narrow surface strip and not analyse the large amount of submerged material the latter is supporting.Without doubt,it is the ground to which a notable load is transmitted in an environment subjected to periodic,alternating stresses,dynamic forces which the sea's media constitute. Both an outer and inner maritime construction works in a complex fashion.A granular solid(breakwater)breathes with the incident wave flow,dissipating part of the wave energy between its gaps.The backflow tries to extract the different items from the solid block,setting a balance between effective and neutral tensions that follow Terzaghui's principle. On some occasions,fluidification of the armour layer has caused the breakwater to collapse(Sines,Portugal,February 1978).On others,siphoning or liquefaction of sand supporting monoliths(vertical breakwaters)lead them to destruction or collapse(New Barcelona Harbour Mouth,Spain,November 2001). This is why the ground-force-structure interaction is a complicated analysis with joint design tools still in an incipient state. The purpose of this article is to describe two singular failures in inner maritime constructions in Spain deriving from ground problems(Malaga,July 2004and Barcelona,January 2007).They occurred recently and the causes are the subject of reflection and analysis.

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In Brazil, a low-latitude country characterized by its high availability and uniformity of solar radiation, the use of PV solar energy integrated in buildings is still incipient. However, at the moment there are several initiatives which give some hints that lead to think that there will be a change shortly. In countries where this technology is already a daily reality, such as Germany, Japan or Spain, the recommendations and basic criteria to avoid losses due to orientation and tilt are widespread. Extrapolating those measures used in high latitudes to all regions, without a previous deeper analysis, is standard practice. They do not always correspond to reality, what frequently leads to false assumptions and may become an obstacle in a country which is taking the first step in this area. In this paper, the solar potential yield for different surfaces in Brazilian cities (located at latitudes between 0° and 30°S) are analyzed with the aim of providing the necessary tools to evaluate the suitability of the buildings’ envelopes for photovoltaic use

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In this paper the Alpine cleavage affecting the Permo-Triassic series of the Espadan Range (Castellón) is studied. Cleavage affects to argillites and sandstones in Saxonian and Buntsandstein facies. At cartographic scale it is linked with the Espadan box anticline with constant ONO-ESE trend. At microscoscopic scale it constitutes a “spaced cleavage” with a predominance of pressure solution and passive rotation mechanisms. At outcrop scale the cleavage characterizes by a sigmoidal geometry linked both the post-cleavage flexural slip as a cleavage-related flexural flow mechanism. The proposed kinematic model to explain its origin includes three main stages: 1) incipient development of cleavage linked to layer-parallel shortening, 2) buckling and increasing of cleavage penetrativity and 3) folfing amplification and layer-parallel shear. RESUMEN Se estudia la esquistosidad alpina que afecta a la serie Permo-Triásica de la Sierra de Espadán, (Castellón). La esquistosidad afecta a los tramos argilíticos y areniscosos en facies Saxoniense y Buntsandstein, con distinto grado de penetratividad. A escala cartográfica se asocia al anticlinal de Espadán con geometría en cofre y orientación ONO-ESE. A escala microestructural se clasifica como esquistosidad espaciada con predominio de los mecanismos de disolución por presión y rotación mecánica de filosilicatos. A escala de afloramiento destaca la geometría sigmoidal de las superficies de esquistosidad atribuida tanto a un mecanismo post-esquistoso de flexodeslizamiento en las capas competentes como a flexofluencia sin-esquistosa en capas incompetentes. El modelo cinemático para su génesis contempla tres estadios: 1) desarrollo incipiente de esquistosidad en relación a acortamiento paralelo a las capas, 2) buckling e incremento del grado de penetratividad y 3) amplificación de los pliegues y cizalla simple paralela a las capas

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This work studies the use of ultrasonic imaging as an evaluation tool in concrete subjected to freeze–thaw (F–T) cycles. To evaluate the damage in this deterioration process, ultrasonic velocity and attenuation images have been generated from concrete specimens with and without air-entraining agents. Two parameters have been proposed from these ultrasonic images according to our experimental setup: the non-assessable area proportion (NAAP) and a weighted average velocity in terms of the NAAP. The proposed parameters have been compared with the recommended failure criteria of the ASTM and Rilem standards, which employ ultrasonic contact measurements. The principal advantage of the use of ultrasonic images and the proposed methodology in comparison with the ultrasonic velocity measurements by contact is the possibility of detection of incipient damage caused by accelerated freeze–thaw cycles.

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The present research is focused on the application of hyperspectral images for the supervision of quality deterioration in ready to use leafy spinach during storage (Spinacia oleracea). Two sets of samples of packed leafy spinach were considered: (a) a first set of samples was stored at 20 °C (E-20) in order to accelerate the degradation process, and these samples were measured the day of reception in the laboratory and after 2 days of storage; (b) a second set of samples was kept at 10 °C (E-10), and the measurements were taken throughout storage, beginning the day of reception and repeating the acquisition of Images 3, 6 and 9 days later. Twenty leaves per test were analyzed. Hyperspectral images were acquired with a push-broom CCD camera equipped with a spectrograph VNIR (400–1000 nm). Calibration set of spectra was extracted from E-20 samples, containing three classes of degradation: class A (optimal quality), class B and class C (maximum deterioration). Reference average spectra were defined for each class. Three models, computed on the calibration set, with a decreasing degree of complexity were compared, according to their ability for segregating leaves at different quality stages (fresh, with incipient and non-visible symptoms of degradation, and degraded): spectral angle mapper distance (SAM), partial least squares discriminant analysis models (PLS-DA), and a non linear index (Leafy Vegetable Evolution, LEVE) combining five wavelengths were included among the previously selected by CovSel procedure. In sets E-10 and E-20, artificial images of the membership degree according to the distance of each pixel to the reference classes, were computed assigning each pixel to the closest reference class. The three methods were able to show the degradation of the leaves with storage time.

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In this paper fault detection and isolation (FDI) schemes are applied in the context of the surveillance of emerging faults in an electrical circuit. The FDI problem is studied on a noisy nonlinear circuit, where both abrupt and incipient faults in the voltage source are considered. A rigorous analysis of fault detectability precedes the application of the fault detection (FD) scheme; then, the fault isolation (FI) phase is accomplished with two alternative FI approaches, proposed as new extensions of that FD approach. Numerical simulations illustrate the applicability of the mentioned schemes.

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Accuracy in the liquid hydrocarbons custody transfer is mandatory because it has a great economic impact. By far the most accurate meter is the positive displacement (PD) meter. Increasing such an accuracy may adversely affect the cost of the custody transfer, unless simple models are developed in order to lower the cost, which is the purpose of this work. PD meter consists of a fixed volume rotating chamber. For each turn a pulse is counted, hence, the measured volume is the number of pulses times the volume of the chamber. It does not coincide with the real volume, so corrections have to be made. All the corrections are grouped by a meter factor. Among corrections highlights the slippage flow. By solving the Navier-Stokes equations one can find an analytical expression for this flow. It is neither easy nor cheap to apply straightforward the slippage correction; therefore we have made a simple model where slippage is regarded as a single parameter with dimension of time. The model has been tested for several PD meters. In our careful experiments, the meter factor grows with temperature at a constant pace of 8?10?5?ºC?1. Be warned

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En muchas áreas de la ingeniería, la integridad y confiabilidad de las estructuras son aspectos de extrema importancia. Estos son controlados mediante el adecuado conocimiento de danos existentes. Típicamente, alcanzar el nivel de conocimiento necesario que permita caracterizar la integridad estructural implica el uso de técnicas de ensayos no destructivos. Estas técnicas son a menudo costosas y consumen mucho tiempo. En la actualidad, muchas industrias buscan incrementar la confiabilidad de las estructuras que emplean. Mediante el uso de técnicas de última tecnología es posible monitorizar las estructuras y en algunos casos, es factible detectar daños incipientes que pueden desencadenar en fallos catastróficos. Desafortunadamente, a medida que la complejidad de las estructuras, los componentes y sistemas incrementa, el riesgo de la aparición de daños y fallas también incrementa. Al mismo tiempo, la detección de dichas fallas y defectos se torna más compleja. En años recientes, la industria aeroespacial ha realizado grandes esfuerzos para integrar los sensores dentro de las estructuras, además de desarrollar algoritmos que permitan determinar la integridad estructural en tiempo real. Esta filosofía ha sido llamada “Structural Health Monitoring” (o “Monitorización de Salud Estructural” en español) y este tipo de estructuras han recibido el nombre de “Smart Structures” (o “Estructuras Inteligentes” en español). Este nuevo tipo de estructuras integran materiales, sensores, actuadores y algoritmos para detectar, cuantificar y localizar daños dentro de ellas mismas. Una novedosa metodología para detección de daños en estructuras se propone en este trabajo. La metodología está basada en mediciones de deformación y consiste en desarrollar técnicas de reconocimiento de patrones en el campo de deformaciones. Estas últimas, basadas en PCA (Análisis de Componentes Principales) y otras técnicas de reducción dimensional. Se propone el uso de Redes de difracción de Bragg y medidas distribuidas como sensores de deformación. La metodología se validó mediante pruebas a escala de laboratorio y pruebas a escala real con estructuras complejas. Los efectos de las condiciones de carga variables fueron estudiados y diversos experimentos fueron realizados para condiciones de carga estáticas y dinámicas, demostrando que la metodología es robusta ante condiciones de carga desconocidas. ABSTRACT In many engineering fields, the integrity and reliability of the structures are extremely important aspects. They are controlled by the adequate knowledge of existing damages. Typically, achieving the level of knowledge necessary to characterize the structural integrity involves the usage of nondestructive testing techniques. These are often expensive and time consuming. Nowadays, many industries look to increase the reliability of the structures used. By using leading edge techniques it is possible to monitoring these structures and in some cases, detect incipient damage that could trigger catastrophic failures. Unfortunately, as the complexity of the structures, components and systems increases, the risk of damages and failures also increases. At the same time, the detection of such failures and defects becomes more difficult. In recent years, the aerospace industry has done great efforts to integrate the sensors within the structures and, to develop algorithms for determining the structural integrity in real time. The ‘philosophy’ has being called “Structural Health Monitoring” and these structures have been called “smart structures”. These new types of structures integrate materials, sensors, actuators and algorithms to detect, quantify and locate damage within itself. A novel methodology for damage detection in structures is proposed. The methodology is based on strain measurements and consists in the development of strain field pattern recognition techniques. The aforementioned are based on PCA (Principal Component Analysis) and other dimensional reduction techniques. The use of fiber Bragg gratings and distributed sensing as strain sensors is proposed. The methodology have been validated by using laboratory scale tests and real scale tests with complex structures. The effects of the variable load conditions were studied and several experiments were performed for static and dynamic load conditions, demonstrating that the methodology is robust under unknown load conditions.

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Conditions are identified under which analyses of laminar mixing layers can shed light on aspects of turbulent spray combustion. With this in mind, laminar spray-combustion models are formulated for both non-premixed and partially premixed systems. The laminar mixing layer separating a hot-air stream from a monodisperse spray carried by either an inert gas or air is investigated numerically and analytically in an effort to increase understanding of the ignition process leading to stabilization of high-speed spray combustion. The problem is formulated in an Eulerian framework, with the conservation equations written in the boundary-layer approximation and with a one-step Arrhenius model adopted for the chemistry description. The numerical integrations unveil two different types of ignition behaviour depending on the fuel availability in the reaction kernel, which in turn depends on the rates of droplet vaporization and fuel-vapour diffusion. When sufficient fuel is available near the hot boundary, as occurs when the thermochemical properties of heptane are employed for the fuel in the integrations, combustion is established through a precipitous temperature increase at a well-defined thermal-runaway location, a phenomenon that is amenable to a theoretical analysis based on activation-energy asymptotics, presented here, following earlier ideas developed in describing unsteady gaseous ignition in mixing layers. By way of contrast, when the amount of fuel vapour reaching the hot boundary is small, as is observed in the computations employing the thermochemical properties of methanol, the incipient chemical reaction gives rise to a slowly developing lean deflagration that consumes the available fuel as it propagates across the mixing layer towards the spray. The flame structure that develops downstream from the ignition point depends on the fuel considered and also on the spray carrier gas, with fuel sprays carried by air displaying either a lean deflagration bounding a region of distributed reaction or a distinct double-flame structure with a rich premixed flame on the spray side and a diffusion flame on the air side. Results are calculated for the distributions of mixture fraction and scalar dissipation rate across the mixing layer that reveal complexities that serve to identify differences between spray-flamelet and gaseous-flamelet problems.

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There is a growing call for inventories that evaluate geographic patterns in diversity of plant genetic resources maintained on farm and in species' natural populations in order to enhance their use and conservation. Such evaluations are relevant for useful tropical and subtropical tree species, as many of these species are still undomesticated, or in incipient stages of domestication and local populations can offer yet-unknown traits of high value to further domestication. For many outcrossing species, such as most trees, inbreeding depression can be an issue, and genetic diversity is important to sustain local production. Diversity is also crucial for species to adapt to environmental changes. This paper explores the possibilities of incorporating molecular marker data into Geographic Information Systems (GIS) to allow visualization and better understanding of spatial patterns of genetic diversity as a key input to optimize conservation and use of plant genetic resources, based on a case study of cherimoya (Annona cherimola Mill.), a Neotropical fruit tree species. We present spatial analyses to (1) improve the understanding of spatial distribution of genetic diversity of cherimoya natural stands and cultivated trees in Ecuador, Bolivia and Peru based on microsatellite molecular markers (SSRs); and (2) formulate optimal conservation strategies by revealing priority areas for in situ conservation, and identifying existing diversity gaps in ex situ collections. We found high levels of allelic richness, locally common alleles and expected heterozygosity in cherimoya's putative centre of origin, southern Ecuador and northern Peru, whereas levels of diversity in southern Peru and especially in Bolivia were significantly lower. The application of GIS on a large microsatellite dataset allows a more detailed prioritization of areas for in situ conservation and targeted collection across the Andean distribution range of cherimoya than previous studies could do, i.e. at province and department level in Ecuador and Peru, respectively.

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The theoretical basis for evaluating shear strength in rock joints is presented and used to derive an equation that governs the relationship between tangential and normal stress on the joint during situations of slippage between the joint faces. The dependent variables include geometric dilatancy, the instantaneous friction angle, and a parameter that considers joint surface roughness. The effect roughness is studied, and the aforementioned formula is used to analyse joints under different conditions. A mathematical expression is deduced that explains Barton's value for the joint roughness coefficient (JRC) according to the roughness geometry. In particular, when the Hoek and Brown failure criterion is used for a rock in the contact with the surface roughness plane, it is possible to determine the shear strength of the joint as a function of the relationship between the uniaxial compressive strength of the wall with the normal stress acting on the wall. Finally, theoretical results obtained for the geometry of a three-dimensional joint are compared with those of the Barton's formulation

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One of the most promising areas in which probabilistic graphical models have shown an incipient activity is the field of heuristic optimization and, in particular, in Estimation of Distribution Algorithms. Due to their inherent parallelism, different research lines have been studied trying to improve Estimation of Distribution Algorithms from the point of view of execution time and/or accuracy. Among these proposals, we focus on the so-called distributed or island-based models. This approach defines several islands (algorithms instances) running independently and exchanging information with a given frequency. The information sent by the islands can be either a set of individuals or a probabilistic model. This paper presents a comparative study for a distributed univariate Estimation of Distribution Algorithm and a multivariate version, paying special attention to the comparison of two alternative methods for exchanging information, over a wide set of parameters and problems ? the standard benchmark developed for the IEEE Workshop on Evolutionary Algorithms and other Metaheuristics for Continuous Optimization Problems of the ISDA 2009 Conference. Several analyses from different points of view have been conducted to analyze both the influence of the parameters and the relationships between them including a characterization of the configurations according to their behavior on the proposed benchmark.

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Hoy en día, el refuerzo y reparación de estructuras de hormigón armado mediante el pegado de bandas de polímeros reforzados con fibras (FRP) se emplea cada vez con más frecuencia a causa de sus numerosas ventajas. Sin embargo, las vigas reforzadas con esta técnica pueden experimentar un modo de fallo frágil a causa del despegue repentino de la banda de FRP a partir de una fisura intermedia. A pesar de su importancia, el número de trabajos que abordan el estudio de este mecanismo de fallo y su monitorización es muy limitado. Por ello, el desarrollo de metodologías capaces de monitorizar a largo plazo la adherencia de este refuerzo a las estructuras de hormigón e identificar cuándo se inicia el despegue de la banda constituyen un importante desafío a abordar. El principal objetivo de esta tesis es la implementación de una metodología fiable y efectiva, capaz de detectar el despegue de una banda de FRP en una viga de hormigón armado a partir de una fisura intermedia. Para alcanzar este objetivo se ha implementado un procedimiento de calibración numérica a partir de ensayos experimentales. Para ello, en primer lugar, se ha desarrollado un modelo numérico unidimensional simple y no costoso representativo del comportamiento de este tipo vigas de hormigón reforzadas con FRP, basado en un modelo de fisura discreta para el hormigón y el método de elementos espectrales. La formación progresiva de fisuras a flexion y el consiguiente despegue en la interface entre el hormigón y el FRP se formulan mediante la introducción de un nuevo elemento capaz de representar ambos fenómenos simultáneamente sin afectar al procedimiento numérico. Además, con el modelo propuesto, se puede obtener de una forma sencilla la respuesta dinámica en altas frecuencias de este tipo de estructuras, lo cual puede hacer muy útil su uso como herramienta de diagnosis y detección del despegue en su fase inicial mediante una monitorización de la variación de las características dinámicas locales de la estructura. Un método de evaluación no destructivo muy prometedor para la monitorización local de las estructuras es el método de la impedancia usando sensores-actuadores piezoeléctricos (PZT). La impedancia eléctrica de los sensores PZT se puede relacionar con la impedancia mecánica de las estructuras donde se encuentran adheridos Ya que la impedancia mecánica de una estructura se verá afectada por su deterioro, se pueden implementar indicadores de daño mediante una comparación del espectro de admitancia (inversa de la impedancia) a lo largo de distintas etapas durante el periodo de servicio de una estructura. Cualquier cambio en el espectro se podría interpretar como una variación en la integridad de la estructura. La impedancia eléctrica se mide a altas frecuencias con lo cual esta metodología debería ser muy sensible a la detección de estados de daño incipiente local, tal como se desea en la aplicación de este trabajo. Se ha implementado un elemento espectral PZT-FRP como extensión del modelo previamente desarrollado, con el objetivo de poder calcular numéricamente la impedancia eléctrica de sensores PZT adheridos a bandas de FRP sobre una viga de hormigón armado. El modelo, combinado con medidas experimentales captadas mediante sensores PZT, se implementa en el marco de una metodología de calibración de modelos para detectar cuantitativamente el despegue en la interfase entre una banda de FRP y una viga de hormigón. El procedimiento de optimización se resuelve empleando el método del enjambre cooperativo con un algoritmo bagging. Los resultados muestran una gran aproximación en la estimación del daño para el problema propuesto. Adicionalmente, se ha desarrollado también un método adaptativo para el mallado de elementos espectrales con el objetivo de localizar las zonas dañadas a partir de los resultados experimentales, el cual contribuye a aumentar la robustez y efectividad del método propuesto a la hora de identificar daños incipientes en su aparición inicial. Finalmente, se ha llevado a cabo un procedimiento de optimización multi-objetivo para detectar el despegue inicial en una viga de hormigón a escala real reforzada con FRP a partir de las impedancias captadas con una red de sensores PZT instrumentada a lo largo de la longitud de la viga. Cada sensor aporta los datos para definir cada una de las funciones objetivo que definen el procedimiento. Combinando el modelo previo de elementos espectrales con un algoritmo PSO multi-objetivo el procedimiento de detección de daño resultante proporciona resultados satisfactorios considerando la escala de la estructura y todas las incertidumbres características ligadas a este proceso. Los resultados obtenidos prueban la viabilidad y capacidad de los métodos antes mencionados y también su potencial en aplicaciones reales. Abstract Nowadays, the external bonding of fibre reinforced polymer (FRP) plates or sheets is increasingly used for the strengthening and retrofitting of reinforced concrete (RC) structures due to its numerous advantages. However, this kind of strengthening often leads to brittle failure modes being the most dominant failure mode the debonding induced by an intermediate crack (IC). In spite of its importance, the number of studies regarding the IC debonding mechanism and bond health monitoring is very limited. Methodologies able to monitor the long-term efficiency of bonding and successfully identify the initiation of FRP debonding constitute a challenge to be met. The main purpose of this thesisis the implementation of a reliable and effective methodology of damage identification able to detect intermediate crack debonding in FRP-strengthened RC beams. To achieve this goal, a model updating procedure based on numerical simulations and experimental tests has been implemented. For it, firstly, a simple and non-expensive one-dimensional model based on the discrete crack approach for concrete and the spectral element method has been developed. The progressive formation of flexural cracks and subsequent concrete-FRP interfacial debonding is formulated by the introduction of a new element able to represent both phenomena simultaneously without perturbing the numerical procedure. Furthermore, with the proposed model, high frequency dynamic response for these kinds of structures can also be obtained in a very simple and non-expensive way, which makes this procedure very useful as a tool for diagnoses and detection of debonding in its initial stage by monitoring the change in local dynamic characteristics. One very promising active non-destructive evaluation method for local monitoring is impedance-based structural health monitoring(SHM)using piezoelectric ceramic (PZT) sensor-actuators. The electrical impedance of the PZT can be directly related to the mechanical impedance of the host structural component where the PZT transducers are attached. Since the structural mechanical impedance will be affected by the presence of structural damage, comparisons of admittance (inverse of impedance) spectra at various times during the service period of the structure can be used as damage indicator. Any change in the spectra might be an indication of a change in the structural integrity. The electrical impedance is measured at high frequencies with which this methodology appears to be very sensitive to incipient damage in structural systems as desired for our application. Abonded-PZT-FRP spectral beam element approach based on an extension of the previous discrete crack approach is implemented in the calculation of the electrical impedance of the PZT transducer bonded to the FRP plates of a RC beam. This approach in conjunction with the experimental measurements of PZT actuator-sensors mounted on the structure is used to present an updating methodology to quantitatively detect interfacial debonding between a FRP strip and the host RC structure. The updating procedure is solved by using an ensemble particle swarm optimization approach with abagging algorithm, and the results demonstrate a big improvement for the performance and accuracy of the damage detection in the proposed problem. Additionally, an adaptive strategy of spectral element mesh has been also developed to detect damage location with experimental results, which shows the robustness and effectiveness of the proposed method to identify initial and incipient damages at its early stage. Lastly, multi-objective optimization has been carried out to detect debonding damage in a real scale FRP-strengthened RC beam by using impedance signatures. A net of PZT sensors is distributed along the beam to construct impedance-based multiple objectives under gradually induced damage scenario. By combining the spectral element model presented previously and an ensemble multi-objective PSO algorithm, the implemented damage detection process yields satisfactory predictions considering the scale and uncertainties of the structure. The obtained results prove the feasibility and capability of the aforementioned methods and also their potentials in real engineering applications.

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La Tesis decodifica una selección de veinte proyectos representativos de Sejima-SANAA, desde su primer proyecto construido, la Casa Platform I, 1987, hasta el Centro Rolex, 2010, año en que Sejima y Nishizawa –SANAA- reciben el Premio Pritzker. De los veinte proyectos once son de Sejima: Casa Platform I, Casa Platform II, Residencia de Mujeres, Casa N, Pachinco Parlor I, Villa en el Bosque, Comisaría en Chofu, Casa Y, Apartamentos en Gifu, Edificio de equipamientos en la Expo Tokio 96, Pachinko Parlor III; y nueve de SANAA: edificio Multimedia en Oogaki, estudio de viviendas metropolitanas,Park Café en Koga, De Kunstlinie en Almere, Museo de Kanazawa, Pabellón de Toledo, Escuela de Zollverein, Casa Flor y Centro Rolex. La decodificación lee la obra de Sejima-SANAA a la inversa para ‘reconstruir’, en un ejercicio de simulación ficticia, una versión verosímil y coherente de los que podrían haber sido sus procesos proyectuales; podrían, porque los verdaderos son imposibles de dilucidar. Los que se proponen se pretenden exclusivamente verosímiles y plausibles. Con ello se pretende contribuir al entendimiento y comprensión de la arquitectura de Sejima-SANAA y, tangencialmente y en menor medida, a la teoría sobre el ejercicio proyectual arquitectónico. La decodificación se centra en dos aspectos concretos: la forma arquitectónica y el papel proyectual de la estructura portante. Ambas decodificaciones se extienden inevitablemente a otros aspectos relacionados, como, por ejemplo, la naturaleza del espacio arquitectónico. El procedimiento de investigación partió de una descripción objetiva y pormenorizada de los significantes formales y estructurales de cada proyecto desde su propia configuración física y geométrica. Esa descripción ‘objetiva’, llevada al límite, permitió que afloraran estructuras conceptuales y lógicas subyacentes de cada proyecto. Unida a interpretación crítica, –mediante su relación y confrontación con otras arquitecturas y otros modos de hacer conocidos- permitió trazar la reconstitución ficticia que persigue la decodificación. Ese trabajo se materializó en veinte ensayos críticos y se acompañó de un conjunto de otros textos sobre temas sugeridos o reclamados por el proceso de investigación. El conjunto de todos esos textos constituye el material de trabajo de la tesis. A partir de ahí, con una visión de conjunto, la tesis identifica una trayectoria de estrategias formales y una trayectoria de estrategias proyectuales relacionadas con lo portante. Juntas conforman el grueso de la tesis que se expone en los cuatro capítulos centrales. Los precede un capítulo introductorio que expone el recorrido biográfico de K. Sejima y la trayectoria profesional de Sejima-SANAA; y los siguen de unos textos transversales sobre forma, lugar y espacio. La tesis termina con una síntesis de sus conclusiones. Las estrategias formales se exponen en tres capítulos. El primero, ‘Primeras estrategias formales’ agrupa proyectos de la primera etapa de Sejima. El segundo capítulo está dedicado enteramente al proyecto de los apartamentos en Gifu, 1994-98, que según esta tesis, supuso un importante punto de inflexión en la trayectoria de Sejima; tanto el tercer capítulo lleva por nombre ‘Estrategias formales después de Gifu’ y recoge los proyectos que le siguieron. Las ‘Primeras estrategias formales’, varias y balbucientes, se mueven en general en torno a dos modos o procedimientos de composición, bien conocidos: por partes y sistemático. Éste última inicia en la trayectoria de SANAA un aspecto que va a ser relevante de aquí en adelante: entender el proyecto como propuesta genérica en la que, más allá de su realidad específica y tangible, subyace una lógica, en cada proyecto la suya, extrapolable a otros lugares, otras dimensiones, incluso otros programas: cada proyecto podría dar lugar a otros proyectos de la misma familia. La composición sistemática incluye, entre otros, la Casa Platform II, basada en la definición de un elemento constructivo, y la formulación de unas leyes de repetición y de posibles modos de agrupación. Incluye también la Residencia de Mujeres Saishunkan Seiyaku- proyecto que lanzó a Sejima a la fama internacional-, que también sería un sistema, pero distinto: basado en la repetición regular de una serie de elementos a lo largo de una directriz generando un hipotético contenedor infinito del que el proyecto sería tan solo un fragmento. La estrategia formal del edificio de Gifu ahondaría en la voluntad genérica del proyecto, adoptando la lógica de un juego. El proyecto sería una partida del juego, pero no la única posible, podrían jugarse otras. Esta hipótesis del juego está verificada en ‘El Juego de Gifu’ que - tras formular el juego identificando sus elementos (tablero y fichas), reglas y procedimientos- juega una partida: la que habría dado lugar al edificio proyectado por Sejima. Gifu extiende el concepto de ‘repetir’ un elemento constructivo a la de repetir un patrón espacial, lo que conlleva: la desvinculación entre forma y función; y un nuevo concepto de flexibilidad, que deja de referirse al uso flexible del edificio construido para pertenecer al momento proyectual en que se asignan funciones específicas a los patrones espaciales. Esta tesis propone que esa asignación de funciones sería uno de los últimos eslabones del proceso proyectual, algo opuesto a la premisa moderna de “la forma sigue a la función”. Las estrategias formales ‘Después de Gifu’ tienen también lógicas de juego, pero cada estrategia responde a un juego distinto, como dejan entrever sus nombres: ‘Tableros de Juego’, que con distintos grados de madurez estaría presente en varios proyectos; ‘Elementos de Catálogo’ en el Museo de Kanazawa; ‘Forma apriorística’, en la Casa Flor y ‘Repetición de una situación topológica’, en el Centro Rolex. Todas esas estrategias, o juegos, mantienen aspectos comunes relativos a la forma arquitectónica, precisamente los aspectos Gifu: la repetición aplicada al patrón espacial, y lo que conlleva: desvinculación entre forma y función y la nueva acepción de flexibilidad. ‘Tableros de Juego’ consiste en configurar cada sistema de proyecto (estructura, cerramientos, particiones y mobiliario) eligiendo elementos ofrecidos por una geometría de base, en cada proyecto la suya, en general reticular: intersecciones, líneas, módulos. Cada sistema se configura, en principio, sin relación de subordinación con cualquiera de los demás; cuando esa subordinación es ineludible, el juego determina que el sistema portante no puede materializar el orden geométrico de base, lo que se traduce en que no ejerce el papel dominante. Por lo tanto, ‘Tableros de Juego’ transgrede la lógica de la planta libre moderna: la estructura ni refleja ni revela el orden de base y los sistemas no respetan las relaciones de subordinación jerárquica y encadenada que aquella determinaba. Esta estrategia de ‘Tableros de juego’ deriva en soluciones y proyectos formales muy distintos: los proyectos de Oogaki y Park Café, que presentarían ‘Tableros de Juego’ incipientes; De Kunstlinie en Almere y la Escuela de Zollverein, que presentarían una consolidación de esta estrategia; y el Pabellón de Vidrio de Toledo que resultaría de la subversión de la estrategia. Este último proyecto, además, lleva el concepto de repetición más allá del elemento constructivo y del patrón espacial (que en este caso tiene forma de burbuja) parar acabar afectando a la propia experiencia del espectador, que esté donde esté, siempre tiene la sensación de estar en el mismo sitio. Esta tesis denomina a ese espacio repetitivo como ‘espacio mantra’. La estrategia ‘Elementos de Catálogo’ se ilustra con el Museo de Kanazawa. Su lógica parte de la definición de una serie de elementos, muy pocos, y se basa en el ingente número de posibles combinaciones entre sí. Gifu habría anunciado el catalogo de elementos en la caracterización de sus patrones espaciales. La estrategia ‘Forma Apriorística’ se ilustra con la Casa Flor. La decisión sobre el tipo de forma -en este caso la de una ameba- estaría al principio del proceso proyectual, lo que no quiere decir que sea una forma arbitraria: la forma de la ameba lleva implícita la repetición de un patrón espacial (el seudópodo) y una apoteosis del concepto de repetición que, alcanzando la experiencia espacial, da lugar a un espacio repetitivo o mantra. El ‘Espacio Mantra’ es uno de los leitmotivs, que se emplean como argumento en la última estrategia formal que la Tesis decodifica: el Centro Rolex. Con respecto a la estructura portante, la tesis identifica y traza una trayectoria de cinco estrategias proyectuales: preeminencia, ocultación, disolución, desaparición y desvirtuación. --Ocultación, reduce el papel dominante de la estructura. Al principio es una ocultación literal, casi un tapado de los elementos estructurales, como en Gifu; luego se hace más sofisticada, como la ocultación por camuflaje o la paradójica ocultación por multiplicación de Park Café. --La disolución merma la condición dominante de la estructura que en lugar de configurarse como sistema unitario u homogéneo se fragmenta en varios subsistemas. --La desaparición se refiere a estructuras que desaparecen como sistemas propios y autónomos, a proyectos en los que la función portante es desempeñada por otros sistemas como el de las particiones. La desaparición culmina con la Casa Flor, cuyo perímetro ejerce la función portante y además es transparente, está desmaterializado: la estructura se ha hecho invisible, ha desaparecido. --La desvirtuación se refiere a estructuras que sí se presentan como sistemas propios y autónomos, pero dejan de tener un papel preeminente por cuanto no materializan el orden de base: esta estrategia es correlativa a la estrategia formal ‘Tableros de juego’. Las conclusiones de la tesis están en la propia organización de la tesis: la identificación de las estrategias. Aún así, y como epílogos, se exponen seis. Las dos primeras subrayan el hilo conductor del trabajo realizado, que radica en la cualidad genérica de las estrategias proyectuales en Sejima-SANAA. Las cuatro siguientes dilucidan hasta qué punto hay, en sus proyectos, rasgos o significantes formales y/o estructurales que sean a su vez señales características del panorama arquitectónico contemporáneo; y plantean la pregunta estrella: ¿hay algunos que, apuntando más lejos, supongan aportaciones originales? --Como aportaciones originales la tesis destaca: la identificación entre el ideal genérico y proyecto concreto; y la propuesta de un espacio nuevo, híbrido, una suerte de estadio intermedio entre el espacio subdividido y compartimentado de la tradición y el continuo moderno. --Como síntomas de contemporaneidad se destacan: respecto de la forma, la traslación de la especificidad formal de la parte al conjunto; y respecto de la estructura, la tendencia contemporánea a hacer estructuras cada vez más ligeras y livianas, que tienden a lo evanescente. Ésta última, la tendencia al evanescencia estructural, podría tener la condición de aportación original, no en vano la desaparición de la estructura lleva la evanescencia hacia sus últimas consecuencias, y en el caso de estructuras con presencia física, hace que dejen de ser el sistema ordenador orquestador del proceso proyectual. ABSTRACT The Thesis decodes a selection of twenty representative Sejima-SANAA projects, from the first one built, the Platform I House in 1987, to the Rolex Center in 2010, year in which Sejima and Nishizawa –SANAA- received the Pritzker Prize. Eleven projects are from Sejima: Platform I, Platform II, Saishunkan Seiyaku Women´s Dormitory, N- House, Pachinco Parlor I, Villa in the Forest, Policy Box at Chofu Station, Y-House, Gifu Kitigata Apartment, World City Expo ´96 Facilities Building, Pachinko Parlor III; and nine from SANAA: Multimedia Workshop in Ogaki, Metropolitan Housing Studies, Park Café in Koga, De Kunstlinie in Almere, Kanazawa Museum, Glass Pavilion at the Toledo Museum of Art, Zollverein School, Flower House and the Rolex Center. This decoding reads the Sejima-SANAA’s projects inversely aiming ‘to reconstruct', in a fictitious simulation exercise, a likely and coherent version of what her/their projectual processes ‘could’ have been; ‘could’, because the true ones are impossible to explain. The ones proposed here pretend only to be likely and reasonable. By so doing the Thesis tries to contribute to the understanding and comprehension of Sejima-SANAA architecture and, tangentially and to a lesser extent, to the theory of architectural projects exercise. Decoding centers in two specific aspects: architectural form, and projectual role of the load bearing structure. Both decodes inevitably extend to other related aspects such as, for example, the nature of space. The research procedure begun by carrying out an objective and detailed description of the formal and structural signifiers of each project; looking at them from their physical and geometric configuration. Taken to the limit, the ‘objective’ descriptions allowed the conceptual structures and underlying logics of each project to arise. Together with critical interpretations, which related and confronted them with other architectures and well-known projectual working ways, it became possible to outline and trace the intended fictitious reconstruction decodes. The descriptive analytical work materialized in twenty critical essays, and was accompanied by a set of other essays on subjects suggested or demanded by the research process. Together, all those texts were the material basis on which thesis work was built. Looking at the whole and taking it from there, the thesis identifies two related projectual trajectories: a trajectory of formal strategies and a trajectory of strategies having to do with structural systems and components. Both, together, constitute the bulk of the thesis, as presented in the four central chapters. Preceding them there is an introductory chapter outlining the biographical path of Kazuyo Sejima and the professional trajectory of Sejima-SANAA. And following them there is another one containing transversal texts on form, place and space. The thesis ends with a synthesis on conclusions. The formal strategies are displayed in three chapters. The first one, `Early formal strategies' groups the first phase projects by Sejima. The second one, ‘Formal strategies of Gifu’s paradigm’, is entirely dedicated to the Gifu apartments project, 1994-98, which according to this thesis meant an important inflexion point in Sejima’s trajectory; so much so that the third chapter is named `Formal strategies after Gifu' and gathers the selected projects that followed it. The ‘Early formal strategies', diverse and tentative, move in general around two well-known projectual composition methods ‘composition by parts’, and ‘systematic composition’. This last one –systematic composition- begins and leads in SANAA’s trajectory an aspect which will remain relevant from here on: the understanding of the project as if it were an specific instance of a generic proposal in which -below and beyond the project tangible reality- there lays a logic that could be applicable at other places, for other dimensions, even with other programs; from each project, other projects of the same family could rise. The set of projects using this systematic composition method include, among others, the ‘Platform II House, based on the definition of a constructive element and of rules having to do with its replicas and their possible groupings. It also includes the Saishunkan Seiyaku Women Residence -project that launched Sejima to international fame- that could also be seen as a system, but of a different kind: a system based on the regular repetition of a series of elements along a directive line, thus generating a hypothetical infinite container of which the project would be only a fragment. The formal strategy of the Gifu apartments building would push further towards the generic project concept, adopting the logic of a game. The project would be a bout, a round, one play…, but not the only possible one; others could be played. The thesis confirms this game hypothesis -after having formulated `The Game of Gifu' and identified its elements (board, chips, rules and procedures)- playing the one play from which the building as projected by Sejima would have raised. Gifu extends the concept of ‘repeating a constructive element’ to that of ‘repeating a space pattern element’, and to what it implies: the decoupling of form and function, leading to a new concept of flexibility that no longer refers to the flexible use of the constructed building but to the projectual moment at which the specific functions are assigned to the space patterns. This thesis proposes that this allocation of functions would be one of the last steps in projectual process, quite opposite from the modern premise: “form follows function”. The Formal strategies after Gifu do also have a game logic; but, as their names reveal, each strategy responds to a different game: ‘Game Boards’, present with different maturity levels in several projects; ‘Elements from a Catalogue’, in the Kanazawa Museum; ‘Aprioristic Form’, in the Flower House; and ‘Repetition of a topologic situation', in the Rolex Center. All of these strategies, or games, maintain common aspects having to do with architectural form; aspects that were already present, precisely, in Gifu: repetition of space pattern units, uncoupling of form and function, and a new meaning of flexibility. -`Game Boards’ consists on setting up a base geometry -each project his, generally reticular- and give form to each project system (structure, closings, partitions and furniture) by choosing elements -intersections, lines, modules- it offers. Each project system is formed, in principle, with no subordinated relation with any of the others; when subordination is unavoidable, the game rules determine that the load bearing structural system may not be the one to materialize the base geometric order, which means that it does not exert the dominant role. Therefore, ‘Game Boards' transgresses the Modern logic, because the structure neither reflects nor reveals the base order, and because the systems do not respect any of the hierarchic and chained subordination relations that the ‘free plan’ called for. ‘Game Boards' leads to quite different solutions and formal projects: the Oogaki and Park Coffee projects show incipient Game Boards; The Almere Kunstlinie and the Zollverein School present consolidations of this strategy; and the Toledo’s Glass Pavilion results from subverting the strategy. In addition, the Toledo project takes the repetition concept beyond that of using a constructive element and a space pattern element (in this case with a bubble form) to end up affecting the personal experience of the spectator, who, wherever he is, feels to always be in the same place. This thesis denominates that repetitive space as ‘Mantra space '. -‘Elements from a Catalogue’ is shown with the Kanazawa Museum. Its logic starts from the definition of a series of elements, very few, and it is based on the huge number of possible combinations among them. The ‘Elements from a Catalogue’ approach was announced in the Gifu project when characterizing its space pattern elements. -Aprioristic Form' is illustrated by the Flower House. The decision on the type of form -in this case the form of an amoeba- would be the beginning of the projectual process, but it does not mean it is arbitrary form: the amoeba form implies repeating a space pattern (pseudopodia) and an apotheosis of the repetition concept: embracing the space experience, it gives rise to a repetitive or mantra space. ‘Mantra Space’ is one of leitmotivs used as an argument in the last formal strategy Thesis decodes: the Rolex Center. With respect to the ‘Projectual strategies of the load bearing structure’, the thesis finds and traces a trajectory of five projectual strategies: ‘preeminence, concealment, dissolution, disappearance and desvirtuación’. --Preeminence is present in Sejima’s first works in which she resorts to structures which have a dominant preeminent role in the project in so far as they impersonate the greater scale and/or materialize the base geometric order. In later works that preeminence will be inverted, the projects aiming towards its opposite: lighter, slighter, smaller structures. -Concealment reduces the dominant role of the structure. At the outset concealment is literal, almost hiding the structural elements, as in Gifu; soon it will become more sophisticated, such as the concealment by camouflage or the paradoxical concealment by multiplication in the Koga Park Café. -Dissolution diminishes the dominant condition of the structure: instead of its’ being configured as unitary or homogenous system is fragmented in several subsystems. -Disappearance talks about structures that fade away as self referred and independent systems; projects in which the load bearing function is carried out by other systems such as the set of partitions. Disappearance reaches its zenith at the Flower House, whose perimeter functions structurally being, in addition, transparent, immaterial: its structure has become invisible, has disappeared. -Desvirtuación talks about structures that do appear like independent self-systems, but which that do not longer have a preeminent paper, inasmuch as they do not materialize the base order. This strategy correlates with the ‘Game Boards’ formal strategy. The thesis conclusions are show by the organization of the thesis itself: its identification of the different strategies. Even so, as epilogues, the thesis exposes six ‘Conclusions’. The first two emphasize the leading thread of the work done, rooted in the generic quality of the Sejima-SANAA projectual strategies. The following four expound to what extent their projects show features, or formal and/or structural signifiers, which also are or can be read as characteristic signals of the contemporary architectonic panorama, and raise the key question: aiming farther, may some of them be taken as original contributions? -As original contributions the conclusions highlight: the identification between the generic ideal and the concrete project; and the proposal of a new, hybrid space, kind of an intermediate stage between the traditional subdivided compartmented space and the continuous modern. -As symptoms of contemporaneousness: in relation to the form it highlights the transferring of the formal specificity from the part to the whole; and in relation to the structure, it underscore the contemporary tendency towards lighter and growingly slimmer structures, tending to the evanescent. This last one, the tendency towards structural evanescence, could have condition of being an original contribution, not in vain it carries the structural disappearance towards its last consequences; and in the case of structures with physical presence, it makes them to cease being the ordering system orchestrating the projectual process.