A Model of Emotion as Patterned Metacontrol

Adaptive agents use feedback as a key strategy to cope with un- certainty and change in their environments. The information fed back from the sensorimotor loop into the control subsystem can be used to change four different elements of the controller: parameters associated to the control model, the control model itself, the functional organization of the agent and the functional realization of the agent. There are many change alternatives and hence the complexity of the agent’s space of potential configurations is daunting. The only viable alternative for space- and time-constrained agents —in practical, economical, evolutionary terms— is to achieve a reduction of the dimensionality of this configuration space. Emotions play a critical role in this reduction. The reduction is achieved by func- tionalization, interface minimization and by patterning, i.e. by selection among a predefined set of organizational configurations. This analysis lets us state how autonomy emerges from the integration of cognitive, emotional and autonomic systems in strict functional terms: autonomy is achieved by the closure of functional dependency. Emotion-based morphofunctional systems are able to exhibit complex adaptation patterns at a reduced cognitive cost. In this article we show a general model of how emotion supports functional adaptation and how the emotional biological systems operate following this theoretical model. We will also show how this model is also of applicability to the construction of a wide spectrum of artificial systems1.

Lo intermedio como lugar : lo intersticial, lo fronterizo y lo impreciso en la arquitectura contemporánea

1. Nuestra investigación se centra en el estudio de los “ámbitos o espacios intermedios” en momentos de la arquitectura contemporánea, en un período de transición entre finales de los años 80 y nuestros días. Pretendemos analizar cómo se presenta el ámbito intermedio en el objeto o lugar arquitectónico y su función o relación con el entorno cercano, desde el proyecto hasta su repercusión en la experiencia vivida. 2. El concepto de intermedio entendido como ámbito o espacio intersticial, fronterizo y ambivalente (o multivalente), atraviesa en la presente investigación el campo de la etimología, de la ciencia, del pensamiento y del arte, para detenerse en la arquitectura actual, llevándose a cabo una indagación concreta en el proceso de concepción, en la propuesta formal, espacial y funcional, así como en la percepción y demás experiencias o vivencias en el lugar arquitectónico. 3. En primer lugar nos proponemos estudiar y explorar el concepto de “intermedio” en sus características, funciones y ubicaciones dentro de la cultura contemporánea, detectando sus antecedentes culturales más importantes, para a continuación aplicarlo reflexivamente a obras significativas de arquitectura. La investigación se enfoca en la modalidad figural (imprecisa) de lo intermedio (en alusión al “figural” deleuziano), cuyas metáforas base son lo translúcido, la penumbra y la espuma, vinculadas al actual paradigma cultural de la complejidad (C. Jencks). A continuación se analizan las relaciones o implicaciones de dicha modalidad figural en obras de arquitectos como Eisenman, Holl, Tschumi, Ito, Fujimoto, Van Berkel y Bos, y Siza, comprobando su valor operativo y poniendo de manifiesto su sentido e importancia en la actualidad y en la disciplina. El estudio tiene como trasfondo el concepto de in-between de la obra de Eisenman, y utiliza conceptos de la filosofía del límite de Trías como algunos de sus principales fundamentos. 4. En cada una de las obras de arquitectura presentadas esta modalidad imprecisa se traduce en un ámbito o espacio intermedio figural específico. Son obras en las que real y virtual, matricial y objetual, arquitectura y territorio, existente y nuevo, colectivo e individual, social e íntimo, interior y exterior, y demás usos y funciones se entrelazan o funden. Son arquitecturas cuya geometría ya no se encuentra tan determinada por aspectos bi o tridimensionales del dibujo o de la construcción. A través de la manipulación de estas geometrías más o menos complejas, dinámicas e intersticiales, estas obras reflejan (o intuyen) las premisas del actual Zeitgeist: un cambio de esquemas de objetos a relaciones basado en un pensamiento más holístico, transdisciplinar, sistémico o complejo (E. Morin), y una nueva conciencia colectiva sobre la realidad que anuncia la crisis de la percepción, el cambio de paradigma y nuevos valores (F. Capra). Emerge otra forma de sentir y percibir el mundo, los lugares y los espacios, que poco a poco está cambiando el modo de pensar y dibujar la arquitectura, y consecuentemente de interaccionar con ella. 5. El sentido del espacio intermedio figural, emerge en las cada vez más complejas cualidades morfológico-espaciales y funcionales de una parte importante de la arquitectura actual. Arquitectura, geometría y tecnología informática están más entrelazadas que nunca, y de un modo más libre, para así poder indagar en nuevas formas de pensar y crear lugares en que los “espacios intermedios” que investigamos son un testimonio. El espacio arquitectónico se vuelve afectivo e interactivo, un lugar intermedio figural, formalizado por espacialidades intersticiales que parecen aludir a lo líquido, donde la forma es más matriz que configuración, el espacio más espacialidad que compartimiento, la función más versátil y multivalente que específica o autónoma, y la perplejidad, la imaginación y la evocación se entrecruzan y vuelven patentes. 6. La arquitectura de los lugares intermedios valora no solamente el “plano”, la “configuración” y la “transparencia”, sino sobre todo el “espacio” y la “relación” en sus interrelaciones con los usuarios y demás contextos. De la identidad a la relacionalidad, de la representación a la presentación, es una arquitectura que propone “otros espacios” que más que espacios son topografías y espacialidades intersticiales, de tensión, transición, transformación, relación, intercambio e interacción. Son lugares intermedios reales y virtuales, que se sirven tanto de la morfología como de la topología para conquistar nuevas espacialidades, pretendiendo salir de la estricta operación de “forming”/”morphing”/formación/”conformación” para explorar la de “spacing”/espaciamiento. Son lugares que se basan en conceptos como la zona de indiscernibilidad de Deleuze, la imagen- flujo de Buci-Glucksmann, la suspensión-entre de Sloterdijk, o el espacio no-objetivo al que se refiere José Gil, plasmándose en la arquitectura contemporánea como tropos de lo intersticial. 7. Son los lugares intermedios de la arquitectura actual, de espacialidad háptica, más “afectiva”, generativa e interactiva, donde ese ámbito intermedio transforma y es transformado, “afecta”, “con-mueve” (nos hace mover/accionar) y evoca otros lugares, otras posibilidades de espacio habitable u ocupable. Emerge lo intermedio como lugar, algo que anuncia y exhibe, de manera paradigmática y manifiesta, el monumento de Eisenman en Berlín. ABSTRACT 1. Our research focuses on the study of “in-between spaces or environments” at particular times in contemporary architecture, in a transition period from the end of the 1980’s through to today. We aim to analyse how in-between environments are presented in the architectural object or place and their function or their relationship with the nearby surroundings, from the project through to the experience had. 2. In this research, the in-between concept, understood as an interstitial, border and ambivalent (or multi-purpose) environment or space, is assessed from the viewpoint of etymology, science, thought and art, to conclude in current architecture, with specific exploration of the conception process, of the formal, spatial and functional proposal, together with the perception and other experiences in the architectural place. 3. Firstly, we aim to study and explore the “in-between” concept as regards its features, functions and locations within contemporary culture, revealing its most important cultural background, to then apply it reflexively to important works of architecture. The research focuses on the figural (imprecise) mode of in-between (in allusion to Deleuze’s “figural” approach) whose base metaphors are the translucent, semi-darkness and foam, linked to the current cultural paradigm of complexity (C. Jenks). We then go on to assess the relationships or implications of said figural mode in architectural works by Eisenman, Holl, Tschumi, Ito, Fujimoto, Van Berkel and Bos, and Siza, verifying their operational worth and revealing their meaning and importance today and in this discipline. The backdrop of the study is the in-between concept of Eisenman’s work and it also uses concepts from the philosophy of the limit of Trías as its main underpinnings. 4. In each of the architectural works presented, this imprecise mode is translated into a specific in-between environment or space. They are works in which real and virtual, matricial and objectual, architecture and territory, existing and new, collective and individual, social and intimate, interior and exterior and other uses and functions all intertwine or blend together. They are architectures the geometry of which is not so much determined by bi- or tri-dimensional aspects of the drawing or construction. Through the manipulation of these more or less complex, dynamic and interstitial geometries, these works reflect (or insinuate) the premises of the current Zeitgeist: A change in the scheme of objects to relationships towards a more holistic, transdisciplinary, systemic or complex thought (E. Morin), and a new collective conscience about the reality which announces the crisis of perception, the change in paradigm and new values (F. Capra). Another way of feeling and perceiving the world, places and spaces, which little by little is changing the way of thinking and drawing architecture and hence of interacting with it. 5. The meaning of figural in-between space emerges in the increasingly complex, morphological-spatial and functional qualities of a large part of architecture today. Architecture, geometry and computer technology are more than ever intertwined in a freer way to inquire into other ways of thinking and making places, where the “in-between” spaces we research are a testimony. Architectural space becomes affective and interactive, a figural in-between place, formed by interstitial spatiality which seems to allude to something liquid, where shape is more matrix than configuration, space more spatiality than compartment, its function more versatile and multi-purpose than specific or autonomous, and perplexity, imagination and evocation criss-cross each other, becoming obvious. 6. The architecture of in-between places values not only “flat”, “configuration” and “transparency”, but above all “space” and the “relationship” in its interrelations with users and other contexts. From identity to relationality, from representation to presentation, it is an architecture that proposes “other spaces”, which more than spaces are topographies and interstitial spatialities, of tension, transition, transformation, relation, exchange and interaction. They are real and virtual in-between places, that take in both morphology and topology to conquer new spatialities, aiming to depart from the strict “forming”/”morphing” operation in order to explore “spacing”. They are places that derive both from Deleuze’s indiscernibility zone concept, from Buci-Glucksmann´s image-flow concept, from Sloterdijk’s suspension-between, and from the non-objective space referred to by José Gil, and they are embodied in contemporary architecture as tropes of the interstitial. 7. They are the in-between places in architecture today, of haptic spatiality, more “affective”, generative and interactive, where that in-between environment transforms and is transformed, “affects”, “moves” (it makes us move/act) and evokes other places, other possibilities of habitable or occupiable space. The in-between emerges as a place, which paradigmatically and declaredly, Eisenman´s monument in Berlin announces and exhibits. RESUMO 1. A investigação centra-se no estudo dos “âmbitos ou espaços intermédios” em momentos da arquitectura contemporânea, no período de transição entre os finais dos anos 80 e os nossos dias. Pretende-se analisar como se apresenta o âmbito intermédio no objecto ou lugar arquitectónico e sua função ou relação com o meio envolvente, desde o projecto até à sua repercussão na experiencia vivenciada. 2. O conceito de intermédio entendido como âmbito ou espaço intersticial, fronteiriço e ambivalente (ou multivalente), atravessa na presente investigação o campo da etimologia, da ciência, do pensamento e da arte, para deter-se na arquitectura actual, realizando-se uma indagação concreta no processo de concepção, na proposta formal, espacial e funcional, assim como na percepção e demais experiencias ou vivencias no lugar arquitectónico. 3. Em primeiro lugar, explora-se o conceito de “intermédio” nas suas características, funções e concretizações na cultura contemporânea, detectando os seus antecedentes culturais mais importantes, para em seguida aplicá-lo reflexivamente a obras significativas de arquitectura. A investigação centra-se na modalidade figural (imprecisa) do intermédio (alusão ao figural deleuziano) cujas metáforas base são o translúcido, a penumbra e a espuma, relacionadas com o actual paradigma da complexidade (C. Jencks). Em seguida analisam-se as relações ou implicações da referida modalidade figural em obras de arquitectos como Eisenman, Holl, Tschumi, Ito, Fujimoto, Van Berkel e Bos, e Siza, como modo de comprovar o seu valor operativo e revelar o seu sentido e importância na actualidade e na disciplina. O estudo tem como referencia o conceito de in-between da obra de Eisenman, e utiliza conceitos da filosofia do limite de Trias como alguns dos seus principais fundamentos. 4. Em cada uma das obras de arquitectura apresentadas esta modalidade imprecisa traduz-se num âmbito ou espaço intermédia figural especifico. São obras nas quais real e virtual, matricial e objectual, arquitectura e território, existente e novo, colectivo e individual, social e intimo, interior e exterior, e outros usos e funções se entrelaçam ou fundem. São arquitecturas cuja geometria já não está tão determinada por aspectos bi ou tridimensionais do desenho ou da construção. Através do uso destas geometrias mais ou menos complexas, dinâmicas e intersticiais, estas obras reflectem (ou intuem) as premissas do actual zeitgeist: uma mudança de esquemas de objectos a relações para um pensamento mais holístico, transdisciplinar, sistémico ou complexo (E. Morin) e uma nova consciência colectiva sobre a realidade, que anuncia a crise da percepção, a mudança de paradigma e novos valores (F. Capra). Emerge uma outra forma de sentir e perceber o mundo, os lugares e os espaços, que gradualmente vai alterando o modo de pensar e desenhar a arquitectura, e consequentemente de interagir com ela. 5. O sentido do espaço intermédio figural, emerge nas cada vez mais complexas qualidades morfológico-espaciais e funcionais de uma parte importante da arquitectura actual. Cada vez mais, arquitectura, geometria e tecnologia informática, relacionam-se de um modo mais livre para indagar outras formas de pensar e fazer lugares, onde os espaços intermédios que investigamos são um testemunho. O espaço arquitectónico torna-se afectivo e interactivo, um lugar intermédio figural, formalizado por espacialidades intersticiais que parecem aludir ao estado liquido, onde a forma é mais matriz que configuração, o espaço mais espacialidade que compartimento, a função mais versátil e multivalente que especifica ou autónoma, e a perplexidade, a imaginação e a evocação entrecruzam-se e tornam-se patentes. 6. A arquitectura dos lugares intermédios valoriza não só o “plano”, a “configuração” e a “transparência”, mas sobretudo o” espaço” e a ”relação” nas suas inter-relações com os utentes e restante contextos. Da identidade à relacionalidade, da representação à apresentação, é uma arquitectura que propõe “outros espaços”, que além de espaços são topografias e espacialidades intersticiais, de tensão, transição, transformação, relação, intercambio e interacção. São lugares intermédios reais e virtuais que utilizam tanto a morfologia como a topologia para conquistar novas espacialidades, pretendendo ultrapassar a estrita operação de “forming”/“morphing”/formação para explorar a de “spacing”/espaçamento. São lugares que se apoiam tanto no conceito de zona de indescernibilidade de Deleuze, como na de imagem-fluxo de Buci-Glucksmann como no de suspensão–entre de Sloterdijk ou de espaço-não objectivo que refere José Gil, e se plasmam na arquitectura contemporânea como tropos do intersticial. 7. São os lugares intermédios da arquitectura actual, de espacialidade háptica, mais “afectiva”, generativa e interactiva, onde esse âmbito intermédio transforma e é transformado, “afecta”, ”co-move “(nos faz mover/agir) e evoca outros lugares, outras possibilidades de espaço habitável ou ocupável. Emerge o intermédio como lugar que, paradigmática e manifestamente, o monumento de Eisenmann em Berlim, anuncia e exibe.

Development of Efficient Techniques for the Analysis and Design of Antennas in Dual-Reflectarray Configuration

This thesis contributes to the analysis and design of printed reflectarray antennas. The main part of the work is focused on the analysis of dual offset antennas comprising two reflectarray surfaces, one of them acts as sub-reflector and the second one acts as mainreflector. These configurations introduce additional complexity in several aspects respect to conventional dual offset reflectors, however they present a lot of degrees of freedom that can be used to improve the electrical performance of the antenna. The thesis is organized in four parts: the development of an analysis technique for dualreflectarray antennas, a preliminary validation of such methodology using equivalent reflector systems as reference antennas, a more rigorous validation of the software tool by manufacturing and testing a dual-reflectarray antenna demonstrator and the practical design of dual-reflectarray systems for some applications that show the potential of these kind of configurations to scan the beam and to generate contoured beams. In the first part, a general tool has been implemented to analyze high gain antennas which are constructed of two flat reflectarray structures. The classic reflectarray analysis based on MoM under local periodicity assumption is used for both sub and main reflectarrays, taking into account the incident angle on each reflectarray element. The incident field on the main reflectarray is computed taking into account the field radiated by all the elements on the sub-reflectarray.. Two approaches have been developed, one which employs a simple approximation to reduce the computer run time, and the other which does not, but offers in many cases, improved accuracy. The approximation is based on computing the reflected field on each element on the main reflectarray only once for all the fields radiated by the sub-reflectarray elements, assuming that the response will be the same because the only difference is a small variation on the angle of incidence. This approximation is very accurate when the reflectarray elements on the main reflectarray show a relatively small sensitivity to the angle of incidence. An extension of the analysis technique has been implemented to study dual-reflectarray antennas comprising a main reflectarray printed on a parabolic surface, or in general in a curved surface. In many applications of dual-reflectarray configurations, the reflectarray elements are in the near field of the feed-horn. To consider the near field radiated by the horn, the incident field on each reflectarray element is computed using a spherical mode expansion. In this region, the angles of incidence are moderately wide, and they are considered in the analysis of the reflectarray to better calculate the actual incident field on the sub-reflectarray elements. This technique increases the accuracy for the prediction of co- and cross-polar patterns and antenna gain respect to the case of using ideal feed models. In the second part, as a preliminary validation, the proposed analysis method has been used to design a dual-reflectarray antenna that emulates previous dual-reflector antennas in Ku and W-bands including a reflectarray as subreflector. The results for the dualreflectarray antenna compare very well with those of the parabolic reflector and reflectarray subreflector; radiation patterns, antenna gain and efficiency are practically the same when the main parabolic reflector is substituted by a flat reflectarray. The results show that the gain is only reduced by a few tenths of a dB as a result of the ohmic losses in the reflectarray. The phase adjustment on two surfaces provided by the dual-reflectarray configuration can be used to improve the antenna performance in some applications requiring multiple beams, beam scanning or shaped beams. Third, a very challenging dual-reflectarray antenna demonstrator has been designed, manufactured and tested for a more rigorous validation of the analysis technique presented. The proposed antenna configuration has the feed, the sub-reflectarray and the main-reflectarray in the near field one to each other, so that the conventional far field approximations are not suitable for the analysis of such antenna. This geometry is used as benchmarking for the proposed analysis tool in very stringent conditions. Some aspects of the proposed analysis technique that allow improving the accuracy of the analysis are also discussed. These improvements include a novel method to reduce the inherent cross polarization which is introduced mainly from grounded patch arrays. It has been checked that cross polarization in offset reflectarrays can be significantly reduced by properly adjusting the patch dimensions in the reflectarray in order to produce an overall cancellation of the cross-polarization. The dimensions of the patches are adjusted in order not only to provide the required phase-distribution to shape the beam, but also to exploit the crosses by zero of the cross-polarization components. The last part of the thesis deals with direct applications of the technique described. The technique presented is directly applicable to the design of contoured beam antennas for DBS applications, where the requirements of cross-polarisation are very stringent. The beam shaping is achieved by synthesithing the phase distribution on the main reflectarray while the sub-reflectarray emulates an equivalent hyperbolic subreflector. Dual-reflectarray antennas present also the ability to scan the beam over small angles about boresight. Two possible architectures for a Ku-band antenna are also described based on a dual planar reflectarray configuration that provides electronic beam scanning in a limited angular range. In the first architecture, the beam scanning is achieved by introducing a phase-control in the elements of the sub-reflectarray and the mainreflectarray is passive. A second alternative is also studied, in which the beam scanning is produced using 1-bit control on the main reflectarray, while a passive subreflectarray is designed to provide a large focal distance within a compact configuration. The system aims to develop a solution for bi-directional satellite links for emergency communications. In both proposed architectures, the objective is to provide a compact optics and simplicity to be folded and deployed.

Experimental analysis of the breakage of a liquid bridge under microgravity conditions

The experimental results obtained in experiment “STACO” made on board the Spacelab D-2 are re-visited, with image-analysis tools not then available. The configuration consisted of a liquid bridge between two solid supporting discs. An expected breakage occurred during the experiment. The recorded images are analysed and the measured behaviour compared with the results of a three dimensional model of the liquid dynamics, obtaining a much better fit than with linear models

Modal contribution and state space order selection in operational modal analysis

The estimation of modal parameters of a structure from ambient measurements has attracted the attention of many researchers in the last years. The procedure is now well established and the use of state space models, stochastic system identification methods and stabilization diagrams allows to identify the modes of the structure. In this paper the contribution of each identified mode to the measured vibration is discussed. This modal contribution is computed using the Kalman filter and it is an indicator of the importance of the modes. Also the variation of the modal contribution with the order of the model is studied. This analysis suggests selecting the order for the state space model as the order that includes the modes with higher contribution. The order obtained using this method is compared to those obtained using other well known methods, like Akaike criteria for time series or the singular values of the weighted projection matrix in the Stochastic Subspace Identification method. Finally, both simulated and measured vibration data are used to show the practicability of the derived technique. Finally, it is important to remark that the method can be used with any identification method working in the state space model.

Maximum likelihood estimation of new state space models for operational modal analysis

The modal analysis of a structural system consists on computing its vibrational modes. The experimental way to estimate these modes requires to excite the system with a measured or known input and then to measure the system output at different points using sensors. Finally, system inputs and outputs are used to compute the modes of vibration. When the system refers to large structures like buildings or bridges, the tests have to be performed in situ, so it is not possible to measure system inputs such as wind, traffic, . . .Even if a known input is applied, the procedure is usually difficult and expensive, and there are still uncontrolled disturbances acting at the time of the test. These facts led to the idea of computing the modes of vibration using only the measured vibrations and regardless of the inputs that originated them, whether they are ambient vibrations (wind, earthquakes, . . . ) or operational loads (traffic, human loading, . . . ). This procedure is usually called Operational Modal Analysis (OMA), and in general consists on to fit a mathematical model to the measured data assuming the unobserved excitations are realizations of a stationary stochastic process (usually white noise processes). Then, the modes of vibration are computed from the estimated model. The first issue investigated in this thesis is the performance of the Expectation- Maximization (EM) algorithm for the maximum likelihood estimation of the state space model in the field of OMA. The algorithm is described in detail and it is analysed how to apply it to vibration data. After that, it is compared to another well known method, the Stochastic Subspace Identification algorithm. The maximum likelihood estimate enjoys some optimal properties from a statistical point of view what makes it very attractive in practice, but the most remarkable property of the EM algorithm is that it can be used to address a wide range of situations in OMA. In this work, three additional state space models are proposed and estimated using the EM algorithm: • The first model is proposed to estimate the modes of vibration when several tests are performed in the same structural system. Instead of analyse record by record and then compute averages, the EM algorithm is extended for the joint estimation of the proposed state space model using all the available data. • The second state space model is used to estimate the modes of vibration when the number of available sensors is lower than the number of points to be tested. In these cases it is usual to perform several tests changing the position of the sensors from one test to the following (multiple setups of sensors). Here, the proposed state space model and the EM algorithm are used to estimate the modal parameters taking into account the data of all setups. • And last, a state space model is proposed to estimate the modes of vibration in the presence of unmeasured inputs that cannot be modelled as white noise processes. In these cases, the frequency components of the inputs cannot be separated from the eigenfrequencies of the system, and spurious modes are obtained in the identification process. The idea is to measure the response of the structure corresponding to different inputs; then, it is assumed that the parameters common to all the data correspond to the structure (modes of vibration), and the parameters found in a specific test correspond to the input in that test. The problem is solved using the proposed state space model and the EM algorithm. Resumen El análisis modal de un sistema estructural consiste en calcular sus modos de vibración. Para estimar estos modos experimentalmente es preciso excitar el sistema con entradas conocidas y registrar las salidas del sistema en diferentes puntos por medio de sensores. Finalmente, los modos de vibración se calculan utilizando las entradas y salidas registradas. Cuando el sistema es una gran estructura como un puente o un edificio, los experimentos tienen que realizarse in situ, por lo que no es posible registrar entradas al sistema tales como viento, tráfico, . . . Incluso si se aplica una entrada conocida, el procedimiento suele ser complicado y caro, y todavía están presentes perturbaciones no controladas que excitan el sistema durante el test. Estos hechos han llevado a la idea de calcular los modos de vibración utilizando sólo las vibraciones registradas en la estructura y sin tener en cuenta las cargas que las originan, ya sean cargas ambientales (viento, terremotos, . . . ) o cargas de explotación (tráfico, cargas humanas, . . . ). Este procedimiento se conoce en la literatura especializada como Análisis Modal Operacional, y en general consiste en ajustar un modelo matemático a los datos registrados adoptando la hipótesis de que las excitaciones no conocidas son realizaciones de un proceso estocástico estacionario (generalmente ruido blanco). Posteriormente, los modos de vibración se calculan a partir del modelo estimado. El primer problema que se ha investigado en esta tesis es la utilización de máxima verosimilitud y el algoritmo EM (Expectation-Maximization) para la estimación del modelo espacio de los estados en el ámbito del Análisis Modal Operacional. El algoritmo se describe en detalle y también se analiza como aplicarlo cuando se dispone de datos de vibraciones de una estructura. A continuación se compara con otro método muy conocido, el método de los Subespacios. Los estimadores máximo verosímiles presentan una serie de propiedades que los hacen óptimos desde un punto de vista estadístico, pero la propiedad más destacable del algoritmo EM es que puede utilizarse para resolver un amplio abanico de situaciones que se presentan en el Análisis Modal Operacional. En este trabajo se proponen y estiman tres modelos en el espacio de los estados: • El primer modelo se utiliza para estimar los modos de vibración cuando se dispone de datos correspondientes a varios experimentos realizados en la misma estructura. En lugar de analizar registro a registro y calcular promedios, se utiliza algoritmo EM para la estimación conjunta del modelo propuesto utilizando todos los datos disponibles. • El segundo modelo en el espacio de los estados propuesto se utiliza para estimar los modos de vibración cuando el número de sensores disponibles es menor que vi Resumen el número de puntos que se quieren analizar en la estructura. En estos casos es usual realizar varios ensayos cambiando la posición de los sensores de un ensayo a otro (múltiples configuraciones de sensores). En este trabajo se utiliza el algoritmo EM para estimar los parámetros modales teniendo en cuenta los datos de todas las configuraciones. • Por último, se propone otro modelo en el espacio de los estados para estimar los modos de vibración en la presencia de entradas al sistema que no pueden modelarse como procesos estocásticos de ruido blanco. En estos casos, las frecuencias de las entradas no se pueden separar de las frecuencias del sistema y se obtienen modos espurios en la fase de identificación. La idea es registrar la respuesta de la estructura correspondiente a diferentes entradas; entonces se adopta la hipótesis de que los parámetros comunes a todos los registros corresponden a la estructura (modos de vibración), y los parámetros encontrados en un registro específico corresponden a la entrada en dicho ensayo. El problema se resuelve utilizando el modelo propuesto y el algoritmo EM.

Analysis of Magnetic Nozzles For Space Plasma Thrusters = Análisis de Toberas Magnéticas para Motores Espaciales de Plasma

Esta tesis presenta un análisis teórico del funcionamiento de toberas magnéticas para la propulsión espacial por plasmas. El estudio está basado en un modelo tridimensional y bi-fluido de la expansión supersónica de un plasma caliente en un campo magnético divergente. El modelo básico es ampliado progresivamente con la inclusión de términos convectivos dominantes de electrones, el campo magnético inducido por el plasma, poblaciones electrónicas múltiples a distintas temperaturas, y la capacidad de integrar el flujo en la región de expansión lejana. La respuesta hiperbólica del plasma es integrada con alta precisión y eficiencia haciendo uso del método de las líneas características. Se realiza una caracterización paramétrica de la expansión 2D del plasma en términos del grado de magnetización de iones, la geometría del campo magnético, y el perfil inicial del plasma. Se investigan los mecanismos de aceleración, mostrando que el campo ambipolar convierte la energía interna de electrones en energía dirigida de iones. Las corrientes diamagnéticas de Hall, que pueden hallarse distribuidas en el volumen del plasma o localizadas en una delgada capa de corriente en el borde del chorro, son esenciales para la operación de la tobera, ya que la fuerza magnética repulsiva sobre ellas es la encargada de confinar radialmente y acelerar axialmente el plasma. El empuje magnético es la reacción a esta fuerza sobre el motor. La respuesta del plasma muestra la separación gradual hacia adentro de los tubos de iones respecto de los magnéticos, lo cual produce la formación de corrientes eléctricas longitudinales y pone el plasma en rotación. La ganancia de empuje obtenida y las pérdidas radiales de la pluma de plasma se evalúan en función de los parámetros de diseño. Se analiza en detalle la separación magnética del plasma aguas abajo respecto a las líneas magnéticas (cerradas sobre sí mismas), necesaria para la aplicación de la tobera magnética a fines propulsivos. Se demuestra que tres teorías existentes sobre separación, que se fundamentan en la resistividad del plasma, la inercia de electrones, y el campo magnético que induce el plasma, son inadecuadas para la tobera magnética propulsiva, ya que producen separación hacia afuera en lugar de hacia adentro, aumentando la divergencia de la pluma. En su lugar, se muestra que la separación del plasma tiene lugar gracias a la inercia de iones y la desmagnetización gradual del plasma que tiene lugar aguas abajo, que permiten la separación ilimitada del flujo de iones respecto a las líneas de campo en condiciones muy generales. Se evalúa la cantidad de plasma que permanece unida al campo magnético y retorna hacia el motor a lo largo de las líneas cerradas de campo, mostrando que es marginal. Se muestra cómo el campo magnético inducido por el plasma incrementa la divergencia de la tobera magnética y por ende de la pluma de plasma en el caso propulsivo, contrariamente a las predicciones existentes. Se muestra también cómo el inducido favorece la desmagnetización del núcleo del chorro, acelerando la separación magnética. La hipótesis de ambipolaridad de corriente local, común a varios modelos de tobera magnética existentes, es discutida críticamente, mostrando que es inadecuada para el estudio de la separación de plasma. Una inconsistencia grave en la derivación matemática de uno de los modelos más aceptados es señalada y comentada. Incluyendo una especie adicional de electrones supratérmicos en el modelo, se estudia la formación y geometría de dobles capas eléctricas en el interior del plasma. Cuando dicha capa se forma, su curvatura aumenta cuanto más periféricamente se inyecten los electrones supratérmicos, cuanto menor sea el campo magnético, y cuanto más divergente sea la tobera magnética. El plasma con dos temperaturas electrónicas posee un mayor ratio de empuje magnético frente a total. A pesar de ello, no se encuentra ninguna ventaja propulsiva de las dobles capas, reforzando las críticas existentes frente a las propuestas de estas formaciones como un mecanismo de empuje. Por último, se presenta una formulación general de modelos autosemejantes de la expansión 2D de una pluma no magnetizada en el vacío. El error asociado a la hipótesis de autosemejanza es calculado, mostrando que es pequeño para plumas hipersónicas. Tres modelos de la literatura son particularizados a partir de la formulación general y comparados. Abstract This Thesis presents a theoretical analysis of the operation of magnetic nozzles for plasma space propulsion. The study is based on a two-dimensional, two-fluid model of the supersonic expansion of a hot plasma in a divergent magnetic field. The basic model is extended progressively to include the dominant electron convective terms, the plasma-induced magnetic field, multi-temperature electron populations, and the capability to integrate the plasma flow in the far expansion region. The hyperbolic plasma response is integrated accurately and efficiently with the method of the characteristic lines. The 2D plasma expansion is characterized parametrically in terms of the ion magnetization strength, the magnetic field geometry, and the initial plasma profile. Acceleration mechanisms are investigated, showing that the ambipolar electric field converts the internal electron energy into directed ion energy. The diamagnetic electron Hall current, which can be distributed in the plasma volume or localized in a thin current sheet at the jet edge, is shown to be central for the operation of the magnetic nozzle. The repelling magnetic force on this current is responsible for the radial confinement and axial acceleration of the plasma, and magnetic thrust is the reaction to this force on the magnetic coils of the thruster. The plasma response exhibits a gradual inward separation of the ion streamtubes from the magnetic streamtubes, which focuses the jet about the nozzle axis, gives rise to the formation of longitudinal currents and sets the plasma into rotation. The obtained thrust gain in the magnetic nozzle and radial plasma losses are evaluated as a function of the design parameters. The downstream plasma detachment from the closed magnetic field lines, required for the propulsive application of the magnetic nozzle, is investigated in detail. Three prevailing detachment theories for magnetic nozzles, relying on plasma resistivity, electron inertia, and the plasma-induced magnetic field, are shown to be inadequate for the propulsive magnetic nozzle, as these mechanisms detach the plume outward, increasing its divergence, rather than focusing it as desired. Instead, plasma detachment is shown to occur essentially due to ion inertia and the gradual demagnetization that takes place downstream, which enable the unbounded inward ion separation from the magnetic lines beyond the turning point of the outermost plasma streamline under rather general conditions. The plasma fraction that remains attached to the field and turns around along the magnetic field back to the thruster is evaluated and shown to be marginal. The plasmainduced magnetic field is shown to increase the divergence of the nozzle and the resulting plasma plume in the propulsive case, and to enhance the demagnetization of the central part of the plasma jet, contrary to existing predictions. The increased demagnetization favors the earlier ion inward separation from the magnetic field. The local current ambipolarity assumption, common to many existing magnetic nozzle models, is critically discussed, showing that it is unsuitable for the study of plasma detachment. A grave mathematical inconsistency in a well-accepted model, related to the acceptance of this assumption, is found out and commented on. The formation and 2D shape of electric double layers in the plasma expansion is studied with the inclusion of an additional suprathermal electron population in the model. When a double layer forms, its curvature is shown to increase the more peripherally suprathermal electrons are injected, the lower the magnetic field strength, and the more divergent the magnetic nozzle is. The twoelectron- temperature plasma is seen to have a greater magnetic-to-total thrust ratio. Notwithstanding, no propulsive advantage of the double layer is found, supporting and reinforcing previous critiques to their proposal as a thrust mechanism. Finally, a general framework of self-similar models of a 2D unmagnetized plasma plume expansion into vacuum is presented and discussed. The error associated with the self-similarity assumption is calculated and shown to be small for hypersonic plasma plumes. Three models of the literature are recovered as particularizations from the general framework and compared.

Comparison of numerical models for vibro-acoustic analysis of structural panels in low modal density range engaging air layers

During launch, satellite and their equipment are subjected to loads of random nature and with a wide frequency range. Their vibro-acoustic response is an important issue to be analysed, for example for folded solar arrays and antennas. The main issue at low modal density is the modelling combinations engaging air layers, structures and external fluid. Depending on the modal density different methodologies, as FEM, BEM and SEA should be considered. This work focuses on the analysis of different combinations of the methodologies previously stated used in order to characterise the vibro-acoustic response of two rectangular sandwich structure panels isolated and engaging an air layer between them under a diffuse acoustic field. Focusing on the modelling of air layers, different models are proposed. To illustrate the phenomenology described and studied, experimental results from an acoustic test on an ARA-MKIII solar array in folded configuration are presented along with numerical results.

Space-time analysis of the urban-rural grafient in the metropolitan area of Madrid and ist surroundings -Guadalajara and Toledo.

According to UN provisions in the period from 2007 to 2050 world population will grow up to 9200 million people. In fact, for the first time in history, in the year 2008 world urban population became higher than rural population. The increase of urban areas and their transport infrastructures has influenced agricultural land use due to their irreversible change, especially when they remain as periurban vacant land, losing their character and identity. In the Europe of the nineties, the traditional urban-rural gradient, characterized by a neat contact between both land types, has become so complex that it has change to a gradient in which it is difficult to separate urban and rural land uses. [Antrop 2004]. A literature review has been made on methodologies used for the urban-rural gradient analysis. One of these methodologies was selected that integrates ecological characterization based on the use of spatial metrics and geographical characterization based on spatial components. Cartographical sources used were Corine Land Cover at 1: 100000 scale and the Spanish Land Use Information System at 1:25000 scale. Urban-rural gradient paradigm is an analysis methodology, coming from landscape ecology, which enables to investigate how urbanization provokes changes in ecological patterns and processes into landscape. [Hahs and McDonnell 2006].The present research adapt this methodology to study the urban-rural gradient in the outskirts of Madrid, Toledo and Guadalajara. Both scales (1:25000 and 1:100000) were simultaneously used to reach the next objectives: 1) Analysis of landscape pattern dynamics in relation to distance to the town centre and major infrastructures. 2) Analysis of landscape pattern dynamics in the fringe of protected areas. The paper presents a new approach to the urban-rural relationship which allows better planning and management of urban áreas.

Análisis de sistemas eléctricos en microsatélites. Desarrollo de módulos para una Concurrent Design Facility (CFD)para el desarrollo y análisis de misiones espaciales = Analysis of microsatellites power subsystems (battery testing). Development and programming of a new Propulsion Module for a space mission Concurrent Design Facility (CDF)

El objetivo de este proyecto es recoger y explicar el conjunto de tareas realizadas durante el proceso de colaboración llevado a cabo en el Instituto de Microgravedad “Ignacio Da Riva” durante el curso académico 2014/2015, las cuales han conformado las prácticas externas cursadas en la titulación de Grado en Ingeniería Aeroespacial, y el Trabajo de Fin de Grado de la misma titulación. En este documento se pretende,además, poner de manifiesto la rigurosidad con la que se trabaja en el ámbito espacial y la importancia de los protocolos y procedimientos para asegurar un resultado adecuado en los trabajos realizados. Una parte importante del proyecto detalla los procesos de monitorización y mantenimiento de la batería del satélite universitario UPMSat-2 cuyo lanzamiento está previsto para el año próximo y el cual será el segundo satélite del mundo en incorporar una batería de Ión-Litio.

Análisis de sistemas eléctricos en microsatélites. Desarrollo de módulos para una Concurrent Design Facility (CDF) para desarrollo y análisis de misiones espaciales = Analysis of microsatellites power subsystems (battery testing). Development and programming of a new Orbit Design Module for a space mission Concurrent Design Facility (CDF)

El presente proyecto se ha realizado durante las prácticas curriculares que han tenido lugar en el Instituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM). A lo largo de estas prácticas se han llevado a cabo trabajos en diversos campos, todos relacionados con el UPMSat-2, desde el subsistema de potencia (placas solares y baterías) hasta el desarrollo de módulos para la Sala de Diseño Concurrente (Concurrent Design Facility, CDF). En la realización de las mismas se ha trabajado en equipo, junto con otros dos alumnos. El objetivo del proyecto es recopilar las tareas realizadas, proporcionando el desarrollo teórico necesario para llevar a cabo todas ellas. Al ser un trabajo con varias partes claramente diferenciadas, se ha optado por comenzar con unas páginas dedicadas a las misiones espaciales. A continuación el trabajo se adentra en el subsistema de potencia de un satélite, particularizando para el UPMSat-2. Finalmente, se proporciona la teoría necesaria para el desarrollo del módulo de misión de la CDF del IDR/UPM, software que se ha desarrollado y tiene reservado un espacio al final, en el cual se describe el programa y se realizan comparaciones de los resultados que proporciona frente a casos reales.

Análisis en sistemas eléctricos en microsatélites. Desarrollo de módulos para una Concurrent Design Facility (CDF) para desarrollo y análisis de misiones espaciales = Analysis of microsatellites power subsystems (battery testing). Development and programming of a new Orbit Design Module for a space mission Concurrent Design Facility (CDF)

El objetivo de este trabajo de fin de grado es la exposición de los resultados y conclusiones, fruto de las tareas desarrolladas durante las practicas curriculares en el Instituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM) el presente curso académico. La estructura del trabajo se compone de dos bloques diferenciados entre sí: el seguimiento de una batería y el desarrollo de un módulo para una CDF.

High-brightness all semiconductor laser at 1.57 µm for space-borne lidar measurements of atmospheric carbon dioxide: device design and analysis of requirements

The availability of suitable laser sources is one of the main challenges in future space missions for accurate measurement of atmospheric CO2. The main objective of the European project BRITESPACE is to demonstrate the feasibility of an all-semiconductor laser source to be used as a space-borne laser transmitter in an Integrated Path Differential Absorption (IPDA) lidar system. We present here the proposed transmitter and system architectures, the initial device design and the results of the simulations performed in order to estimate the source requirements in terms of power, beam quality, and spectral properties to achieve the required measurement accuracy. The laser transmitter is based on two InGaAsP/InP monolithic Master Oscillator Power Amplifiers (MOPAs), providing the ON and OFF wavelengths close to the selected absorption line around 1.57 µm. Each MOPA consists of a frequency stabilized Distributed Feedback (DFB) master oscillator, a modulator section, and a tapered semiconductor amplifier optimized to maximize the optical output power. The design of the space-compliant laser module includes the beam forming optics and the thermoelectric coolers.The proposed system replaces the conventional pulsed source with a modulated continuous wave source using the Random Modulation-Continuous Wave (RM-CW) approach, allowing the designed semiconductor MOPA to be applicable in such applications. The system requirements for obtaining a CO2 retrieval accuracy of 1 ppmv and a spatial resolution of less than 10 meters have been defined. Envelope estimated of the returns indicate that the average power needed is of a few watts and that the main noise source is the ambient noise.

Global Stability Analysis of a Compressible Turbulent Flow around a High-Lift Configuration

The purpose of this work is to analyze a complex high lift configuration for which significant regions of separated flow are present. Current state of the art methods have some diffculty to predict the origin and the progression of this separated flow when increasing the angle of attack. The mechanisms responsible for the maximum lift limit on multi-element wing con?gurations are not clear; this stability analysis could help to understand the physics behind the phenomenon and to find a relation between the flow separation and the instability onset. The methodology presented herein consists in the computation of a steady base flow solution based on a finite volume discretization and a proposal of the solution for a generalized eigenvalue problem corresponding to the perturbed and linearized problem. The eigenvalue problem has been solved with the Arnoldi iterative method, one of the Krylov subspace projection methods. The described methodology was applied to the NACA0012 test case in subsonic and in transonic conditions and, finally, for the first time to the authors knowledge, on an industrial multi-component geometry, such as the A310 airfoil, in order to identify low frequency instabilities related to the separation. One important conclusion is that for all the analyzed geometries, one unstable mode related to flow separation appears for an angle of attack greater than the one correspondent to the maximum lift coe?cient condition. Finally, an adjoint study was carried out in order to evaluate the receptivity and the structural sensitivity of the geometries, giving an indication of the domain region that could be modified resulting in the biggest change of the flowfield.

State space models for multi-setup operational modal analysis

Operational Modal Analysis consists on estimate the modal parameters of a structure (natural frequencies, damping ratios and modal vectors) from output-only vibration measurements. The modal vectors can be only estimated where a sensor is placed, so when the number of available sensors is lower than the number of tested points, it is usual to perform several tests changing the position of the sensors from one test to the following (multiple setups of sensors): some sensors stay at the same position from setup to setup, and the other sensors change the position until all the tested points are covered. The permanent sensors are then used to merge the mode shape estimated at each setup (or partial modal vectors) into global modal vectors. Traditionally, the partial modal vectors are estimated independently setup by setup, and the global modal vectors are obtained in a postprocess phase. In this work we present two state space models that can be used to process all the recorded setups at the same time, and we also present how these models can be estimated using the maximum likelihood method. The result is that the global mode shape of each mode is obtained automatically, and subsequently, a single value for the natural frequency and damping ratio of the mode is computed. Finally, both models are compared using real measured data.