Commonalities between networking in multiplayer computer games and negotiation processes in a future multi-layered Air Traffic Management (ATM) system

First, this paper describes a future layered Air Traffic Management (ATM) system centred in the execution phase of flights. The layered ATM model is based on the work currently performed by SESAR [1] and takes into account the availability of accurate and updated flight information ?seen by all? across the European airspace. This shared information of each flight will be referred as Reference Business Trajectory (RBT). In the layered ATM system, exchanges of information will involve several actors (human or automatic), which will have varying time horizons, areas of responsibility and tasks. Second, the paper will identify the need to define the negotiation processes required to agree revisions to the RBT in the layered ATM system. Third, the final objective of the paper is to bring to the attention of researchers and engineers the communalities between multi-player games and Collaborative Decision Making processes (CDM) in a layered ATM system

Environmental assay on the effect of poultry manure application on soil organisms in agroecosystems

This paper reports the effects produced on the organisms of the soil (plants, invertebrates and microorganisms), after the application of two types of poultry manure (sawdust and straw bed) on an agricultural land. The test was made using a terrestrial microcosm, Multi-Species Soil System (MS3) developed in INIA. There was no difference in the germination for any of the three species of plants considered in the study. The biomass was increased in the wheat (Triticum aestivum) coming from ground treated with both kinds of poultry manure. Oilseed rape (Brasica rapa) was not affected and regarding vetch (Vicia sativa) only straw poultry manure showed significant difference. For length only Vicia sativa was affected showing a reduction when straw was exposed to poultry manure. When the effect on invertebrates was studied, we observed a reduction in the number of worms during the test, especially from the ground control (13.7%), higher than in the ground with sawdust poultry manure (6.7%), whereas in the ground with straw poultry manure, there was no reduction. The biomass was affected and at the end of the test it was observed that while the reduction of worms in the ground control was about 48%, the number of those that were in the ground with sawdust poultry manure or straw poultry manure decreased by 41% and 22% respectively. Finally, the effects on microorganisms showed that the enzymatic activities: dehydrogenase (DH) and phosphatase and basal respiration rate increased at the beginning of the test, and the differences were statistically significant compared with the values of the control group. During the test, all these parameters decreased (except DH activities) but they were always higher than in the ground control. This is why it is possible to deduce that the contribution of poultry manure caused an improvement in the conditions of fertilization and also for the soil.

The use of direct boundary element method for gaining insight into complex seismic site response

The boundary element method is specially well suited for the analysis of the seismic response of valleys of complicated topography and stratigraphy. In this paper the method’s capabilities are illustrated using as an example an irregularity stratified (test site) sedimentary basin that has been modelled using 2D discretization and the Direct Boundary Element Method (DBEM). Site models displaying different levels of complexity are used in practice. The multi-layered model’s seismic response shows generally good agreement with observed data amplification levels, fundamental frequencies and the high spatial variability. Still important features such as the location of high frequencies peaks are missing. Even 2D simplified models reveal important characteristics of the wave field that 1D modelling does not show up.

Combining a Similar Coefficient Identification Algorithm with the Boundary Element Method

The boundary element method (BEM) has been applied successfully to many engineering problems during the last decades. Compared with domain type methods like the finite element method (FEM) or the finite difference method (FDM) the BEM can handle problems where the medium extends to infinity much easier than domain type methods as there is no need to develop special boundary conditions (quiet or absorbing boundaries) or infinite elements at the boundaries introduced to limit the domain studied. The determination of the dynamic stiffness of arbitrarily shaped footings is just one of these fields where the BEM has been the method of choice, especially in the 1980s. With the continuous development of computer technology and the available hardware equipment the size of the problems under study grew and, as the flop count for solving the resulting linear system of equations grows with the third power of the number of equations, there was a need for the development of iterative methods with better performance. In [1] the GMRES algorithm was presented which is now widely used for implementations of the collocation BEM. While the FEM results in sparsely populated coefficient matrices, the BEM leads, in general, to fully or densely populated ones, depending on the number of subregions, posing a serious memory problem even for todays computers. If the geometry of the problem permits the surface of the domain to be meshed with equally shaped elements a lot of the resulting coefficients will be calculated and stored repeatedly. The present paper shows how these unnecessary operations can be avoided reducing the calculation time as well as the storage requirement. To this end a similar coefficient identification algorithm (SCIA), has been developed and implemented in a program written in Fortran 90. The vertical dynamic stiffness of a single pile in layered soil has been chosen to test the performance of the implementation. The results obtained with the 3-d model may be compared with those obtained with an axisymmetric formulation which are considered to be the reference values as the mesh quality is much better. The entire 3D model comprises more than 35000 dofs being a soil region with 21168 dofs the biggest single region. Note that the memory necessary to store all coefficients of this single region is about 6.8 GB, an amount which is usually not available with personal computers. In the problem under study the interface zone between the two adjacent soil regions as well as the surface of the top layer may be meshed with equally sized elements. In this case the application of the SCIA leads to an important reduction in memory requirements. The maximum memory used during the calculation has been reduced to 1.2 GB. The application of the SCIA thus permits problems to be solved on personal computers which otherwise would require much more powerful hardware.

Eigenvector centrality of nodes in multiplex networks

We extend the concept of eigenvector centrality to multiplex networks, and introduce several alternative parameters that quantify the importance of nodes in a multi-layered networked system, including the definition of vectorial-type centralities. In addition, we rigorously show that, under reasonable conditions, such centrality measures exist and are unique. Computer experiments and simulations demonstrate that the proposed measures provide substantially different results when applied to the same multiplex structure, and highlight the non-trivial relationships between the different measures of centrality introduced.

Constructed Fashion: The Catwalk System as an Architectural Project

Teniendo en cuenta que no hay nada que se escape de la moda 1, y extendiendonos más allá de esta manida discusión sobre intersecciones formales, esta investigación propone la pasarela como un lugar real de mediación entre moda y arquitectura. Asumiendo esta condición, la pasarela encarna nuevos modos de producción apropiándose de su espacio y estructura, y convierténdose en una máquina capaz de generar múltiples y más bien infinitos significados. La moda es sin duda un proyecto creativo, que ha venido utilizando la pasarela como un marco para la reordenación de su narrativa visual, renovándose asi mismo como fenómeno social. Este proyecto de investigación plantea, que contrariamente las tipologías actuales de las pasarelas no nos facilitan la comprensión de una colección – que suele ser el objetivo principal. Presentan en cambio un entorno en el que se acoplan diferentes formatos visuales, -con varias capas-, conviéndolo en una compleja construcción y provocando nunerosas fricciones con el espacio-tiempo-acción durante el proceso de creación de otros territorios. Partiendo de la idea de la pasarela como un sistema, en el que sus numerosas variables pueden producir diversas combinaciones, esta investigación plantea la hipótesis por la cual un nuevo sistema de pasarela se estaría formando enteramente con capas de información. Este escenario nos conduciría a la inmersión final de la moda en los tejidos de la virtualidad. Si bien el debate sobre la relevancia de los desfiles de moda se ha vuelto más evidente hoy en día, esta investigación especula con la posibilidad del pensamiento arquitectónico y como este puede introducir metodologías de análisis en el marco de estos desfiles de moda, proponiendo una lectura de la pasarela como un sistema de procedimientos específicos inherente a los proyectos/procesos de la arquitectura. Este enfoque enlaza ambas prácticas en un territorio común donde el espacio, el diseño, el comportamiento, el movimiento, y los cuerpos son ordenados/organizados en la creación de estas nuevas posibilidades visuales, y donde las interacciones activan la generación de la novedad y los mensajes. PALABRAS CLAVES moda, sistema, virtual, información, arquitectura Considering that there is nothing left untouched by fashion2, and going beyond the already exhausted discussion about formal intersections, this research introduces the catwalk as the real arena of mediation between fashion and architecture. By assuming this condition, the catwalk embodies new modes of production that appropriates its space and turns it into a machine for generating multiple if not infinite meanings. Fashion, as a creative project, has utilized the catwalk as a frame for rearranging its visual narrative and renewing itself as social phenomena. This research disputes, however, that the current typologies of catwalks do not facilitate the understanding of the collection – as its primary goal - but, instead, present an environment composed of multi-layered visual formats, becoming a complex construct that collides space-time-action in the creation of other territories. Departing from the analysis of the catwalk as a system and how its many variables can produce diverse combinations, this research presents the hypothesis that a new system is being formed entirely built out of information. Such scenario indicates fashion´s final immersion into the fabrics of virtuality. While the discussion about the relevance of fashion shows has become more evident today, this research serves as an introductory speculation on how architectural thinking can introduce methodologies of analysis within the framework of the fashion shows, by proposing a reading of the catwalk as a system through specific procedures that are inherent to architectural projects. Such approach intertwines both practices into a common territory where space, design, behaviour, movement, and bodies are organized for the creation of visual possibilities, and where interactions are triggered in the making of novelty and messages. KEYWORDS fashion, system, virtual, information, architectural

A linearization-based system reliability method with application to geotechnical analysis

Los análisis de fiabilidad representan una herramienta adecuada para contemplar las incertidumbres inherentes que existen en los parámetros geotécnicos. En esta Tesis Doctoral se desarrolla una metodología basada en una linealización sencilla, que emplea aproximaciones de primer o segundo orden, para evaluar eficientemente la fiabilidad del sistema en los problemas geotécnicos. En primer lugar, se emplean diferentes métodos para analizar la fiabilidad de dos aspectos propios del diseño de los túneles: la estabilidad del frente y el comportamiento del sostenimiento. Se aplican varias metodologías de fiabilidad — el Método de Fiabilidad de Primer Orden (FORM), el Método de Fiabilidad de Segundo Orden (SORM) y el Muestreo por Importancia (IS). Los resultados muestran que los tipos de distribución y las estructuras de correlación consideradas para todas las variables aleatorias tienen una influencia significativa en los resultados de fiabilidad, lo cual remarca la importancia de una adecuada caracterización de las incertidumbres geotécnicas en las aplicaciones prácticas. Los resultados también muestran que tanto el FORM como el SORM pueden emplearse para estimar la fiabilidad del sostenimiento de un túnel y que el SORM puede mejorar el FORM con un esfuerzo computacional adicional aceptable. Posteriormente, se desarrolla una metodología de linealización para evaluar la fiabilidad del sistema en los problemas geotécnicos. Esta metodología solamente necesita la información proporcionada por el FORM: el vector de índices de fiabilidad de las funciones de estado límite (LSFs) que componen el sistema y su matriz de correlación. Se analizan dos problemas geotécnicos comunes —la estabilidad de un talud en un suelo estratificado y un túnel circular excavado en roca— para demostrar la sencillez, precisión y eficiencia del procedimiento propuesto. Asimismo, se reflejan las ventajas de la metodología de linealización con respecto a las herramientas computacionales alternativas. Igualmente se muestra que, en el caso de que resulte necesario, se puede emplear el SORM —que aproxima la verdadera LSF mejor que el FORM— para calcular estimaciones más precisas de la fiabilidad del sistema. Finalmente, se presenta una nueva metodología que emplea Algoritmos Genéticos para identificar, de manera precisa, las superficies de deslizamiento representativas (RSSs) de taludes en suelos estratificados, las cuales se emplean posteriormente para estimar la fiabilidad del sistema, empleando la metodología de linealización propuesta. Se adoptan tres taludes en suelos estratificados característicos para demostrar la eficiencia, precisión y robustez del procedimiento propuesto y se discuten las ventajas del mismo con respecto a otros métodos alternativos. Los resultados muestran que la metodología propuesta da estimaciones de fiabilidad que mejoran los resultados previamente publicados, enfatizando la importancia de hallar buenas RSSs —y, especialmente, adecuadas (desde un punto de vista probabilístico) superficies de deslizamiento críticas que podrían ser no-circulares— para obtener estimaciones acertadas de la fiabilidad de taludes en suelos. Reliability analyses provide an adequate tool to consider the inherent uncertainties that exist in geotechnical parameters. This dissertation develops a simple linearization-based approach, that uses first or second order approximations, to efficiently evaluate the system reliability of geotechnical problems. First, reliability methods are employed to analyze the reliability of two tunnel design aspects: face stability and performance of support systems. Several reliability approaches —the first order reliability method (FORM), the second order reliability method (SORM), the response surface method (RSM) and importance sampling (IS)— are employed, with results showing that the assumed distribution types and correlation structures for all random variables have a significant effect on the reliability results. This emphasizes the importance of an adequate characterization of geotechnical uncertainties for practical applications. Results also show that both FORM and SORM can be used to estimate the reliability of tunnel-support systems; and that SORM can outperform FORM with an acceptable additional computational effort. A linearization approach is then developed to evaluate the system reliability of series geotechnical problems. The approach only needs information provided by FORM: the vector of reliability indices of the limit state functions (LSFs) composing the system, and their correlation matrix. Two common geotechnical problems —the stability of a slope in layered soil and a circular tunnel in rock— are employed to demonstrate the simplicity, accuracy and efficiency of the suggested procedure. Advantages of the linearization approach with respect to alternative computational tools are discussed. It is also found that, if necessary, SORM —that approximates the true LSF better than FORM— can be employed to compute better estimations of the system’s reliability. Finally, a new approach using Genetic Algorithms (GAs) is presented to identify the fully specified representative slip surfaces (RSSs) of layered soil slopes, and such RSSs are then employed to estimate the system reliability of slopes, using our proposed linearization approach. Three typical benchmark-slopes with layered soils are adopted to demonstrate the efficiency, accuracy and robustness of the suggested procedure, and advantages of the proposed method with respect to alternative methods are discussed. Results show that the proposed approach provides reliability estimates that improve previously published results, emphasizing the importance of finding good RSSs —and, especially, good (probabilistic) critical slip surfaces that might be non-circular— to obtain good estimations of the reliability of soil slope systems.

Estratos arquitectónicos : conceptos, lógicas, sinopsis

La presente tesis doctoral se centra en la investigación del "estrato arquitectónico", manejando conceptos, lógicas y sinopsis como puntos organizativos, enlazados y superpuestos, que den paso a un marco propositivo que pueda ser simultáneamente articulado e independiente. Una situación que, ante nuevos desafíos, pretende ir más allá de una estricta definición de estrato o de su noción preconcebida descrita desde la superposición de diversos materiales. Todo ello a fin de revelar los diferentes perfiles del estrato y de la estratificación. Para ello, se abre y amplía el campo de estudio proyectual/procesual desdibujando los límites entre disciplinas –geología, filosofía, tecnología, arquitectura–. Y al mismo tiempo, se construye una cartografía del estrato arquitectónico asociada: a una taxonomía descriptora, a nuevas formulaciones, a pensamientos de personajes reconocibles y/o rescatados –como Rowe/Slutzky, Smithson, Parent/Virilio, Koolhaas, MVRDV, etc.–, y, por último, a nuevas lógicas proyectuales y operativas referidas al estrato, que fusionan conocimientos complejos. Unos contenidos que habitualmente no se presentan en investigaciones doctorales tradicionales –lo que permite afrontar nuevos cambios metodológicos, e imprimir un punto de partida para el desarrollo de futuras investigaciones o de otros posibles caminos emergentes–. Así, el discurso se impregna de nuevos referentes teóricos dentro de una misma mitología común (la del estrato). Un tema abordado con claves híbridas, es decir, con estudios selectivos y escritos coleccionados –analizados a partir de antecedentes encontrados y consolidados–, combinados con interpretaciones subyacentes en la arquitectura contemporánea –que pueden todavía encontrarse en fase experimental–. Una investigación que muestra la adaptación, la evolución y el cambio de la definición de "estrato arquitectónico", así como de su apariencia, utilización y aplicación a lo largo del tiempo, consecuencia de las nuevas necesidades y/o de las nuevas bases ideológicas ocasionadas por nuevos descubrimientos. Estratos arquitectónicos que dotan al espacio de profundidad –desde la bidimensionalidad– mediante la superposición de planos paralelos hacia la construcción de una nueva experiencia de estratificación fenomenológica. Estratos que generan estímulos y cambian su materialidad –de opacos a (en)tramados– creando apariencias y produciendo diversos efectos, para posteriormente exfoliarse y convertirse en estratos habitables. Estratos capturadores del espacio-tiempo, o de las dinámicas internas. Llegando incluso, con un último giro, a la era digital, donde el estrato informacional –que continua siendo independiente, autónomo y diverso, y que puede ser modificado, manipulado, suprimido o activable sin alterar el conjunto–, propicia obtener sistemas flexibles, relacionales, capaces de mutar o adaptarse, asociados a distintos niveles de organización dispositiva, que impulsan acciones y hacen emerger lógicas proyectuales. Estratos que surgen de forma elaborada o espontánea en el territorio urbano o natural (ciudad sobre ciudad, suelo sobre suelo), que se aplican extendiendo e hibridando el territorio (paisajes operativos), que son replanteados artificialmente como mecanismos edificatorios según las exigencias existentes (estratos programáticos, capas especializadas), y que se implantan como capas/layers en los programas informáticos utilizados como herramientas de diseño (multicapas, sistemas de intercambio informacional). Un trabajo que se estructura de manera multicapa lo que permite recorrer la tesis como un mapa de secuencias, saltar entre estratos de información, o seleccionar lecturas según intereses de pensamiento o acción arquitectónica. En consecuencia, una investigación sobre el "estrato arquitectónico" que conecta diversas disciplinas, que recopila distintos posicionamientos teórico/prácticos –lo que implica la introducción de parámetros y datos vivos–, y afronta un posicionamiento estratégico que vuelve a poner en valor el estrato arquitectónico –partiendo de estrategias formales que se han transformado en estrategias experimentales/operativas (a medida que el entorno se ha ido complejizando), siguiendo una estrategia conceptual e intelectual contemporánea, propia y específica–. ABSTRACT This PhD thesis is based on the research of "architectural stratum" using concepts, logical and synopsis as organizational, linked and overlapping points, which give way to a proactive framework that can be articulated and independent simultaneously. A situation that, faced with new challenges, aims to go beyond a strict definition of stratum or their preconceived notion described from the superposition of different materials. All this in order to reveal the different profiles of stratum and stratification. To do this, it opens and widens the field of project/process study, blurring the boundaries between disciplines –geology, philosophy, technology, architecture–. And, at the same time, a cartography of the architectural stratum is constructed, that associates with: descriptor taxonomy, new formulations, thoughts of recognizable and/or rescued characters, –as Rowe/Slutzky, Smithson, Parent/Virilio, Koolhaas, MVRDV, etc.–, and finally, a new project and operational logics referred to stratum, which merge complex knowledge. A content not usually presented in traditional doctoral research –which can face new methodological changes, and creates a starting point for future research or other possible emerging paths–. Thus, the work is imbued with new theoretical framework within a common mythology (stratum’s myth). An issue addressed with hybrid keys, that is, with selective studies and collected writings –analyzed starting from found and consolidated backgrounds–, combined with underlying performances on contemporary architecture –which can still be in experimental phase–. A research that shows adaptation, evolution and change of the definition of "architectural stratum", as well as their appearance, use and application throughout time, result of the new requirements and/or the new ideological foundations caused by new discoveries. Architectural strata that give depth to space –from two-dimensionality– by overlapping parallel planes towards the construction of a new experience of phenomenological stratification. Strata that generate stimuli and change their materiality –from opaque to lattice– creating appearances and producing various effects, for later exfoliating and becoming habitable strata. Strata that capture space-time or internal dynamics. Even reaching, with a final twist, the digital age, where the informational stratum –which remains independent, autonomous and diverse, and can be modified, manipulated, deleted or activated without altering the whole–, contribute to obtaining flexible, relational systems, able to mutate or adapt, associated with different levels of regulatory organization, that drive actions and make emerge project logics. Strata that arise elaborately or spontaneously in urban or natural territory (city upon city, floor upon floor), which apply expanding and hybridizing the territory (operational landscapes), which are artificially restated as building mechanisms according to existing requirements (strata program, specialized layers), which are implemented as layers in the software used as design tools (multilayer, systems of informational interchange). A work that is structured in a multi-layered way, which allows explore the thesis as a sequence map, jump between layers of information, or select readings according to an interest in thought or architectural action. Therefore, an investigation into the "architectural stratum" that connects different disciplines, which collects different theoretical/practical positions –which implies the introduction of live parameters and data– and faces a strategic positioning returning to value the architectural stratum –based on formal strategies that have become experimental/operational strategies (as the environment has become more complex), following a conceptual, intellectual, contemporary, own specific strategy–.

Continuous multi-criteria methods for crop and soil conservation planning on La Colacha (Río Cuarto, Province of Cordoba, Argentina)

Agro-areas of Arroyos Menores (La Colacha) west and south of Rand south of R?o Cuarto (Prov. of Cordoba, Argentina) basins are very fertile but have high soil loses. Extreme rain events, inundations and other severe erosions forming gullies demand urgently actions in this area to avoid soil degradation and erosion supporting good levels of agro production. The authors first improved hydrologic data on La Colacha, evaluated the systems of soil uses and actions that could be recommended considering the relevant aspects of the study area and applied decision support systems (DSS) with mathematic tools for planning of defences and uses of soils in these areas. These were conducted here using multi-criteria models, in multi-criteria decision making (MCDM); first of discrete MCDM to chose among global types of use of soils, and then of continuous MCDM to evaluate and optimize combined actions, including repartition of soil use and the necessary levels of works for soil conservation and for hydraulic management to conserve against erosion these basins. Relatively global solutions for La Colacha area have been defined and were optimised by Linear Programming in Goal Programming forms that are presented as Weighted or Lexicographic Goal Programming and as Compromise Programming. The decision methods used are described, indicating algorithms used, and examples for some representative scenarios on La Colacha area are given.

Pushover analysis for the seismic response prediction of cable-stayed bridges under multi-directional excitation

Cable-stayed bridges represent nowadays key points in transport networks and their seismic behavior needs to be fully understood, even beyond the elastic range of materials. Both nonlinear dynamic (NL-RHA) and static (pushover) procedures are currently available to face this challenge, each with intrinsic advantages and disadvantages, and their applicability in the study of the nonlinear seismic behavior of cable-stayed bridges is discussed here. The seismic response of a large number of finite element models with different span lengths, tower shapes and class of foundation soil is obtained with different procedures and compared. Several features of the original Modal Pushover Analysis (MPA) are modified in light of cable-stayed bridge characteristics, furthermore, an extension of MPA and a new coupled pushover analysis (CNSP) are suggested to estimate the complex inelastic response of such outstanding structures subjected to multi-axial strong ground motions.

The direct boundary element method: 2D site effects assessment on laterally varying layered media (methodology)

The Direct Boundary Element Method (DBEM) is presented to solve the elastodynamic field equations in 2D, and a complete comprehensive implementation is given. The DBEM is a useful approach to obtain reliable numerical estimates of site effects on seismic ground motion due to irregular geological configurations, both of layering and topography. The method is based on the discretization of the classical Somigliana's elastodynamic representation equation which stems from the reciprocity theorem. This equation is given in terms of the Green's function which is the full-space harmonic steady-state fundamental solution. The formulation permits the treatment of viscoelastic media, therefore site models with intrinsic attenuation can be examined. By means of this approach, the calculation of 2D scattering of seismic waves, due to the incidence of P and SV waves on irregular topographical profiles is performed. Sites such as, canyons, mountains and valleys in irregular multilayered media are computed to test the technique. The obtained transfer functions show excellent agreement with already published results.

Discrete Multi-Criteria Methods for lands use and conservation planning on La Colacha in Arroyos Menores (Río Cuarto, Province of Córdoba, Argentina)

The study area is La Colacha sub-basins from Arroyos Menores basins, natural areas at West and South of Río Cuarto in Province of Córdoba of Argentina, fertile with loess soils and monsoon temperate climate, but with soil erosions including regressive gullies that degrade them progressively. Cultivated gently since some hundred sixty years, coordinated action planning became necessary to conserve lands while keeping good agro-production. The authors had improved data on soils and on hydrology for the study area, evaluated systems of soil uses and actions to be recommended and applied Decision Support Systems (DSS) tools for that, and were conducted to use discrete multi-criteria models (MCDM) for the more global views about soil conservation and hydraulic management actions and about main types of use of soils. For that they used weighted PROMETHEE, ELECTRE, and AHP methods with a system of criteria grouped as environmental, economic and social, and criteria from their data on effects of criteria. The alternatives resulting offer indication for planning depending somehow on sub basins and on selections of weights, but actions for conservation of soils and water management measures are recommended to conserve the basins conditions, actually sensibly degrading, mainly keeping actual uses of the lands.

Real-Time Dynamic PGD Calculation of Non-Linear Soil Behavior

El estudio sísmico en los últimos 50 años y el análisis del comportamiento dinámico del suelo revelan que el comportamiento del suelo es altamente no lineal e histéretico incluso para pequeñas deformaciones. El comportamiento no lineal del suelo durante un evento sísmico tiene un papel predominante en el análisis de la respuesta de sitio. Los análisis unidimensionales de la respuesta sísmica del suelo son a menudo realizados utilizando procedimientos lineales equivalentes, que requieren generalmente pocos parámetros conocidos. Los análisis de respuesta de sitio no lineal tienen el potencial para simular con mayor precisión el comportamiento del suelo, pero su aplicación en la práctica se ha visto limitada debido a la selección de parámetros poco documentadas y poco claras, así como una inadecuada documentación de los beneficios del modelado no lineal en relación al modelado lineal equivalente. En el análisis del suelo, el comportamiento del suelo es aproximado como un sólido Kelvin-Voigt con un módulo de corte elástico y amortiguamiento viscoso. En el análisis lineal y no lineal del suelo se están considerando geometrías y modelos reológicos más complejos. El primero está siendo dirigido por considerar parametrizaciones más ricas del comportamiento linealizado y el segundo mediante el uso de multi-modo de los elementos de resorte-amortiguador con un eventual amortiguador fraccional. El uso del cálculo fraccional está motivado en gran parte por el hecho de que se requieren menos parámetros para lograr la aproximación exacta a los datos experimentales. Basándose en el modelo de Kelvin-Voigt, la viscoelasticidad es revisada desde su formulación más estándar a algunas descripciones más avanzada que implica la amortiguación dependiente de la frecuencia (o viscosidad), analizando los efectos de considerar derivados fraccionarios para representar esas contribuciones viscosas. Vamos a demostrar que tal elección se traduce en modelos más ricos que pueden adaptarse a diferentes limitaciones relacionadas con la potencia disipada, amplitud de la respuesta y el ángulo de fase. Por otra parte, el uso de derivados fraccionarios permite acomodar en paralelo, dentro de un análogo de Kelvin-Voigt generalizado, muchos amortiguadores que contribuyen a aumentar la flexibilidad del modelado para la descripción de los resultados experimentales. Obviamente estos modelos ricos implican muchos parámetros, los asociados con el comportamiento y los relacionados con los derivados fraccionarios. El análisis paramétrico de estos modelos requiere técnicas numéricas eficientemente capaces de simular comportamientos complejos. El método de la Descomposición Propia Generalizada (PGD) es el candidato perfecto para la construcción de este tipo de soluciones paramétricas. Podemos calcular off-line la solución paramétrica para el depósito de suelo, para todos los parámetros del modelo, tan pronto como tales soluciones paramétricas están disponibles, el problema puede ser resuelto en tiempo real, porque no se necesita ningún nuevo cálculo, el solucionador sólo necesita particularizar on-line la solución paramétrica calculada off-line, que aliviará significativamente el procedimiento de solución. En el marco de la PGD, parámetros de los materiales y los diferentes poderes de derivación podrían introducirse como extra-coordenadas en el procedimiento de solución. El cálculo fraccional y el nuevo método de reducción modelo llamado Descomposición Propia Generalizada han sido aplicado en esta tesis tanto al análisis lineal como al análisis no lineal de la respuesta del suelo utilizando un método lineal equivalente. ABSTRACT Studies of earthquakes over the last 50 years and the examination of dynamic soil behavior reveal that soil behavior is highly nonlinear and hysteretic even at small strains. Nonlinear behavior of soils during a seismic event has a predominant role in current site response analysis. One-dimensional seismic ground response analysis are often performed using equivalent-linear procedures, which require few, generally well-known parameters. Nonlinear analyses have the potential to more accurately simulate soil behavior, but their implementation in practice has been limited because of poorly documented and unclear parameter selection, as well as inadequate documentation of the benefits of nonlinear modeling relative to equivalent linear modeling. In soil analysis, soil behaviour is approximated as a Kelvin-Voigt solid with a elastic shear modulus and viscous damping. In linear and nonlinear analysis more complex geometries and more complex rheological models are being considered. The first is being addressed by considering richer parametrizations of the linearized behavior and the second by using multi-mode spring-dashpot elements with eventual fractional damping. The use of fractional calculus is motivated in large part by the fact that fewer parameters are required to achieve accurate approximation of experimental data. Based in Kelvin-Voigt model the viscoelastodynamics is revisited from its most standard formulation to some more advanced description involving frequency-dependent damping (or viscosity), analyzing the effects of considering fractional derivatives for representing such viscous contributions. We will prove that such a choice results in richer models that can accommodate different constraints related to the dissipated power, response amplitude and phase angle. Moreover, the use of fractional derivatives allows to accommodate in parallel, within a generalized Kelvin-Voigt analog, many dashpots that contribute to increase the modeling flexibility for describing experimental findings. Obviously these rich models involve many parameters, the ones associated with the behavior and the ones related to the fractional derivatives. The parametric analysis of all these models require efficient numerical techniques able to simulate complex behaviors. The Proper Generalized Decomposition (PGD) is the perfect candidate for producing such kind of parametric solutions. We can compute off-line the parametric solution for the soil deposit, for all parameter of the model, as soon as such parametric solutions are available, the problem can be solved in real time because no new calculation is needed, the solver only needs particularize on-line the parametric solution calculated off-line, which will alleviate significantly the solution procedure. Within the PGD framework material parameters and the different derivation powers could be introduced as extra-coordinates in the solution procedure. Fractional calculus and the new model reduction method called Proper Generalized Decomposition has been applied in this thesis to the linear analysis and nonlinear soil response analysis using a equivalent linear method.