Dynamic Studies of Shell and Spatial Structures

For the past 20 years, dynamic analysis of shells has been one of the most fascinating fields for research. Using the new light materials the building engineer soon discovered that the subsequent reduction of gravity forces produced not only the desired shape freedom but the appearance of ecologic loads as the first factor of design; loads which present strong random properties and marked dynamic influence. On the other hand, the technological advance in the aeronautical and astronautical field placed the engineers in front of shell structures of nonconventional shape and able to sustain substantialy dynamic loads. The response to the increasingly challenger problems of the last two decades has been very bright; new forms, new materials and new methods of analysis have arosen in the design of off-shore platforms, nuclear vessels, space crafts, etc. Thanks to the intensity of the lived years we have at our disposition a coherent and homogeneous amount of knowledge which enable us to face problems of inconceivable complexity when IASS was founded. The open minded approach to classical problems and the impact of the computer are, probably, important factors in the Renaissance we have enjoyed these years, and a good proof of this are the papers presented to the previous IASS meetings as well as that we are going to consider in this one. Particularly striking is the great number of papers based on a mathematical modeling in front of the meagerness of those treating laboratory experiments on physical models. The universal entering of the computer into almost every phase of our lifes, and the cost of physical models, are –may be- reasons for this lack of experimental methods. Nevertheless they continue offering useful results as are those obtained with the shaking-table in which the computer plays an essential role in the application of loads as well as in the instantaneous treatment of control data. Plates 1 and 2 record the papers presented under dynamic heading, 40% of them are from Japan in good correlation with the relevance that Japanese research has traditionally showed in this area. Also interesting is to find old friends as profesors Tanaka, Nishimura and Kostem who presented valuable papers in previous IASS conferences. As we see there are papers representative of all tendencies, even purely analytical! Better than discuss them in detail, which can be done after the authors presentation, I think we can comment in the general pattern of the dynamical approach are summarized in plate 3.

Comportamiento estructural de elementos de fábrica reforzados con materiales compuestos avanzados solicitados a flexión y flexocompresión

El refuerzo de estructuras existentes mediante el encolado exterior de láminas de polímeros reforzados con fibras (FRP) se ha convertido en la aplicación más común de los materiales compuestos avanzados en construcción. Estos materiales presentan muchas ventajas frente a los materiales convencionales (sin corrosión, ligeros, de fácil aplicación, etc.). Pero a pesar de las numerosas investigaciones realizadas, aún persisten ciertas dudas sobre algunos aspectos de su comportamiento y las aplicaciones prácticas se llevan a cabo sólo con la ayuda de guías, sin que haya una normativa oficial. El objetivo de este trabajo es incrementar el conocimiento sobre esta técnica de refuerzo, y más concretamente, sobre el refuerzo a flexión de estructuras de fábrica. Con frecuencia el elemento reforzado es de hormigón armado y las láminas de FRP encoladas al exterior sirven para mejorar su resistencia a flexión, cortante o compresión (encamisados). Sin embargo su empleo en otros materiales como las estructuras de fábrica resulta muy prometedor. Las fábricas se caracterizan por soportar muy bien los esfuerzos de compresión pero bastante mal los de tracción. Adherir láminas de materiales compuestos puede servir para mejorar la capacidad resistente de elementos de fábrica sometidos a esfuerzos de flexión. Pero para ello, debe quedar garantizada una correcta adherencia entre el FRP y la fábrica, especialmente en edificios antiguos cuya superficie puede estar deteriorada por encontrarse a la intemperie o por el propio paso del tiempo. En el capítulo II se describen los objetivos fundamentales del trabajo y el método seguido. En el capítulo III se hace una amplia revisión del estado de conocimiento sobre el tema. En el apartado III.1 se detallan las principales características y propiedades mecánicas de fibras, matrices y materiales compuestos así como sus principales aplicaciones, haciendo especial hincapié en aspectos relativos a su durabilidad. En el apartado III.2 se incluye una revisión histórica de las líneas de investigación, tanto teóricas como empíricas, publicadas sobre estructuras de hormigón reforzadas a flexión encolando materiales compuestos. El apartado III.3 se centra en el aspecto fundamental de la adherencia refuerzo-soporte. Se hace un repaso a distintos modelos propuestos para prevenir el despegue distinguiendo si éste se inicia en la zona de anclaje o si está inducido por fisuras en la zona interior del elemento. Se observa falta de consenso en las propuestas. Además en este punto se relatan las campañas experimentales publicadas acerca de la adherencia entre materiales compuestos y fábricas. En el apartado III.4 se analizan las particularidades de las estructuras de fábrica. Además, se revisan algunas de las investigaciones relativas a la mejora de su comportamiento a flexión mediante láminas de FRP. El comportamiento mecánico de muros reforzados solicitados a flexión pura (sin compresión) ha sido documentado por varios autores, si bien es una situación poco frecuente en fábricas reales. Ni el comportamiento mecánico de muros reforzados solicitados a flexocompresión ni la incidencia que el nivel de compresión soportado por la fábrica tiene sobre la capacidad resistente del elemento reforzado han sido suficientemente tratados. En cuanto a los trabajos teóricos, las diferentes propuestas se basan en los métodos utilizados para hormigón armado y comparten los principios habituales de cálculo. Sin embargo, presentan diferencias relativas, sobre todo, a tres aspectos: 1) la forma de modelar el comportamiento de la fábrica, 2) el valor de deformación de cálculo del refuerzo, y 3) el modo de fallo que se considera recomendable buscar con el diseño. A pesar de ello, el ajuste con la parte experimental de cada trabajo suele ser bueno debido a una enorme disparidad en las variables consideradas. Cada campaña presenta un modo de fallo característico y la formulación que se propone resulta apropiada para él. Parece necesario desarrollar un método de cálculo para fábricas flexocomprimidas reforzadas con FRP que pueda ser utilizado para todos los posibles fallos, tanto atribuibles a la lámina como a la fábrica. En el apartado III.4 se repasan algunas lesiones habituales en fábricas solicitadas a flexión y se recogen ejemplos de refuerzos con FRP para reparar o prevenir estos daños. Para mejorar el conocimiento sobre el tema, se llevan a cabo dos pequeñas campañas experimentales realizadas en el Instituto de Ciencias de la Construcción Eduardo Torroja. La primera acerca de la adherencia de materiales compuestos encolados a fábricas deterioradas (apartado IV.1) y la segunda sobre el comportamiento estructural a flexocompresión de probetas de fábrica reforzadas con estos materiales (apartado IV.2). En el capítulo V se analizan algunos de los modelos de adherencia propuestos para prevenir el despegue del extremo del refuerzo. Se confirma que las predicciones obtenidas con ellos resultan muy dispares. Se recopila una base de datos con los resultados experimentales de campañas sobre adherencia de FRP a fábricas extraídas de la literatura y de los resultados propios de la campaña descrita en el punto IV.1. Esta base de datos permite conocer cual de los métodos analizados resulta más adecuado para dimensionar el anclaje de láminas de FRP adheridas a fábricas. En el capítulo VI se propone un método para la comprobación en agotamiento de secciones de fábrica reforzadas con materiales compuestos sometidas a esfuerzos combinados de flexión y compresión. Está basado en el procedimiento de cálculo de la capacidad resistente de secciones de hormigón armado pero adaptado a las fábricas reforzadas. Para ello, se utiliza un diagrama de cálculo tensión deformación de la fábrica de tipo bilineal (acorde con el CTE DB SE-F) cuya simplicidad facilita el desarrollo de toda la formulación al tiempo que resulta adecuado para predecir la capacidad resistente a flexión tanto para fallos debidos al refuerzo como a la fábrica. Además se limita la deformación de cálculo del refuerzo teniendo en consideración ciertos aspectos que provocan que la lámina adherida no pueda desarrollar toda su resistencia, como el desprendimiento inducido por fisuras en el interior del elemento o el deterioro medioambiental. En concreto, se propone un “coeficiente reductor por adherencia” que se determina a partir de una base de datos con 68 resultados experimentales procedentes de publicaciones de varios autores y de los ensayos propios de la campaña descrita en el punto IV.2. También se revisa la formulación propuesta con ayuda de la base de datos. En el capítulo VII se estudia la incidencia de las principales variables, como el axil, la deformación de cálculo del refuerzo o su rigidez, en la capacidad final del elemento. Las conclusiones del trabajo realizado y las posibles líneas futuras de investigación se exponen en el capítulo VIII. ABSTRACT Strengthening of existing structures with externally bonded fiber reinforced polymers (FRP) has become the most common application of advanced composite materials in construction. These materials exhibit many advantages in comparison with traditional ones (corrosion resistance, light weight, easy to apply, etc.). But despite countless researches have been done, there are still doubts about some aspects of their behaviour and applications are carried out only with the help of guidelines, without official regulations. The aim of this work is to improve the knowledge on this retrofitting technique, particularly in regard to flexural strengthening of masonry structures. Reinforced concrete is often the strengthened material and external glued FRP plates are used to improve its flexural, shear or compressive (by wrapping) capacity. However the use of this technique on other materials like masonry structures looks promising. Unreinforced masonry is characterized for being a good material to support compressive stresses but really bad to withstand tensile ones. Glue composite plates can improve the flexural capacity of masonry elements subject to bending. But a proper bond between FRP sheet and masonry must be ensured to do that, especially in old buildings whose surface can be damaged due to being outside or ageing. The main objectives of the work and the methodology carried out are described In Chapter II. An extensive overview of the state of art is done in Chapter III. In Section III.1 physical and mechanical properties of fibers, matrix and composites and their main applications are related. Durability aspects are especially emphasized. Section III.2 includes an historical overview of theoretical and empirical researches on concrete structures strengthened gluing FRP plates to improve their flexural behaviour. Section III.3 focuses on the critical point of bonding between FRP and substrate. Some theoretical models to prevent debonding of FRP laminate are reviewed, it has made a distinction between models for detachment at the end of the plate or debonding in the intermediate zones due to the effects of cracks. It is observed a lack of agreement in the proposals. Some experimental studies on bonding between masonry and FRP are also related in this chapter. The particular characteristics of masonry structures are analyzed in Section III.4. Besides some empirical and theoretical investigations relative to improve their flexural capacity with FRP sheets are reviewed. The mechanical behaviour of strengthened walls subject to pure bending (without compression) has been established by several authors, but this is an unusual situation for real masonry. Neither mechanical behaviour of walls subject to bending and compression nor influence of axial load in the final capacity of the strengthened element are adequately studied. In regard to theoretical studies, the different proposals are based on reinforced concrete analytical methods and share common design principles. However, they present differences, especially, about three aspects: 1) the constitutive law of masonry, 2) the value of ultimate FRP strain and 3) the desirable failure mode that must be looked for. In spite of them, a good agreement between each experimental program and its theoretical study is often exhibited due to enormous disparity in considered test parameters. Each experimental program usually presents a characteristic failure mode and the proposed formulation results appropriate for this one. It seems necessary to develop a method for FRP strengthened walls subject to bending and compression enable for all failure modes (due to FRP or masonry). Some common damages in masonry subject to bending are explained in Section III.4. Examples of FRP strengthening to repair or prevent these damages are also written. Two small experimental programs are carried out in Eduardo Torroja Institute to improve the knowledge on this topic. The first one is concerned about the bond between FRP plates and damaged masonry (section IV.1) and the second one is related to the mechanical behaviour of the strengthened masonry specimens subject to out of plane bending combined with axial force (section IV.2). In the Chapter V some bond models to prevent the debonding at the FRP plate end are checked. It is confirmed that their predictions are so different. A pure-shear test database is compiled with results from the existing literature and others from the experimental program described in section IV.1. This database lets know which of the considered model is more suitable to design anchorage lengths of glued FRP to masonry. In the Chapter VI a method to check unreinforced masonry sections with external FRP strengthening subject to bending and compression to the ultimate limit state is proposed. This method is based on concrete reinforced one, but it is adapted to strengthened masonry. A bilinear constitutive law is used for masonry (according to CTE DB SE-F). Its simplicity helps to develop the model formulation and it has proven to be suitable to predict bending capacity either for FRP failures or masonry crushing. With regard to FRP, the design strain is limited. It is taken into account different aspects which cause the plate can’t reach its ultimate strength, like intermediate FRP debonding induced by opening cracking or environmental damage. A “bond factor” is proposed. It is obtained by means of an experimental bending test database that includes 68 results from the existing literature and from the experimental program described in section IV.2. The proposed formulation has also been checked with the help of bending database. The effects of the main parameters, like axial load, FRP design effective strain or FRP stiffness, on the bending capacity of the strengthened element are studied in Chapter VII. Finally, the main conclusions from the work carried out are summarized in Chapter VIII. Future lines of research to be explored are suggested as well.

Strategies and good practice for sustainable and liveable cities of tomorrow

This contribution deals with the question, what makes cities sustainable and integrative, and suggests an approach for "liveable cities of tomorrow" designed to sustain mobility. The liveable city of tomorrow needs to meet both ecological and social requirements in an integrative approach. To design urban patterns appropriate or “sustainable mobility” based on a concept of mobility defined as the number of accessible destinations (different to that for “fossil mobility” defined as the ability to cover distances) is a key element of such an approach. Considering the limited reserves of fossil fuels and the long lifetime of the built structure, mobility needs to rely on modes independent of fossil fuels (public transport and pedestrians) to make it sustainable and the urban pattern needs to be developed appropriately for these modes. Crucial for the success of public transport is the location of buildings within the catchment area of stops. An attractive urban environment for pedestrians is characterised by short distances in a compact settlement with appropriate/qualified urban density and mixed land use as well as by attractive public space. This, complemented by an integrative urban development on the quarter level including neighbourhood management with a broad spectrum of activity areas (social infrastructure, integration of diverse social and ethnic groups, health promotion, community living, etc.), results in increased liveability. The role of information technology in this context is to support a sustainable use of the built structures by organisational instruments. Sustainable and liveable communities offer many benefits for health, safety and well-being of their inhabitants.

Vulnerability analysis of RC buildings with wide beams located in moderate seismicity regions

A significant number of short-to-mid height RC buildings with wide beams have been constructed in areas of moderate seismicity of Spain, mainly for housing and administrative use. The buildings have a framed structure with one-way slabs; the wide beams constitute the distinctive characteristic, their depth being equal to that of the rest of the slab, thus providing a flat lower surface, convenient for construction and the layout of facilities. Seismic behavior in the direction of the wide beams appears to be deficient because of: (i) low lateral strength, mainly because of the small effective depth of the beams, (ii) inherent low ductility of the wide beams, generated by high amount of reinforcement, (iii) the big strut compressive forces developed inside the column-beam connections due to the low height of the beams, and (iv) the fact that the wide beams are wider than the columns, meaning that the contribution of the outer zones to the resistance of the beam-column joints is unreliable because there is no torsion reinforcement. In the orthogonal direction, the behavior is worse since the only members of the slabs that contribute to the lateral resistance are the joists and the façade beams. Moreover, these buildings were designed with codes that did not include ductility requirements and required only a low lateral resistance; indeed, in many cases, seismic action was not considered at all. Consequently, the seismic capacity of these structures is not reliable. The objective of this research is to assess numerically this capability, whereas further research will aim to propose retrofit strategies. The research approach consists of: (i) selecting a number of 3-story and 6-story buildings that represent the vast majority of the existing ones and (ii) evaluating their vulnerability through three types of analyses, namely: code-type, push-over and nonlinear dynamic analysis. Given the low lateral resistance of the main frames, the cooperation of the masonry infill walls is accounted for; for each representative building, three wall densities are considered. The results of the analyses show that the buildings in question exhibit inadequate seismic behavior in most of the examined situations. In general, the relative performance is less deficient for Target Drift CP (Collapse Prevention) than for IO (Immediate Occupancy). Since these buildings are selected to be representative of the vast majority of buildings with wide beams that were constructed in Spain without accounting for any seismic consideration, our conclusions can be extrapolated to a broader scenario.

Investigación experimental del flujo aerodinámico sobre helipuertos embarcados

La investigación del flujo aerodinámico sobre helipuertos embarcados se encuentra estrechamente relacionada con la operación segura de las aeronaves, pues las condiciones del flujo que tiene lugar en ese entorno pueden exceder los límites para los que están certificadas dichas aeronaves. El ambiente aerodinámico en las inmediaciones de un barco es altamente complejo y se encuentra influenciado por gran número de factores (chimeneas, antenas, mástiles, etc.) relacionados con la configuración específica del propio barco. El flujo objeto de investigación corresponde a la estela que se desarrolla sobre la cubierta de vuelo de una fragata, el cual está fuertemente influenciado por la superestructura de la misma, y que cualitativamente es similar al flujo que tiene lugar entre edificios altos o helipuertos situados en áreas urbanas, pues comprende estructuras tipo caja, con bordes afilados, que generan flujos tridimensionales altamente turbulentos. En esta Tesis se aborda el estudio del problema desde el punto de vista experimental, mediante simulación en túnel aerodinámico y medida de las variables del campo fluido sobre maquetas de fragatas a escala reducida. Las herramientas empleadas para tal cometido, han sido técnicas experimentales, tales como la visualización del flujo, la velocimetría láser por imágenes de partículas, la anemometría láser Doppler y los scanners electrónicos de presión, que han permitido investigar el flujo problema con objeto de obtener información, y adquirir así, un conocimiento más profundo de dicho flujo. La explotación de este conocimiento, ha dado lugar al diseño de una nueva solución, basada en la modificación de geometría básica de la fragata, por medio del cambio de la curvatura del techo del hangar, permitiendo suavizar el escalón descendente que se produce aguas abajo del mismo. Las geometrías modificadas han sido ensayada en túnel mediante la misma metodología empleada para la fragata original, de modo que, ha podido establecerse un análisis comparativo, para valorar la efectividad de la solución propuesta, el cual ha mostrado resultados satisfactorios, retirando el flujo adverso de la zona de operación de helicópteros y desplazándolo hacia el hangar, donde resulta menos peligroso, de modo que se reduce la carga del piloto y los riesgos de accidente durante las operaciones a bordo de embarcaciones. ABSTRACT The investigation of aerodynamic flow above the ship’s heliports is directly related to the aircraft safe operation, because the environment flow conditions may exceed the aircraft certification limits. Aerodynamic ship’s environment is highly complex and it is influenced by a large number of factors (stacks, antennae, masts, …) related to each specific ship configuration. The flow under investigation occurs into the wake produced above the flight deck of a frigate, that is strongly influenced by the superstructure. This flow is similar to one produced around tall buildings or heliports located in urban areas, thus in both of them, the air is flowing around sharp-edges box-like structures, producing three-dimensional and highly turbulent flows. This Thesis studies the problem from an experimental point of view, by means of wind tunnel simulations and measurements of the flow field around reduced scale frigates models. Tools used in this work are the experimental techniques, as flow visualization, particle image velocimetry, laser Doppler anemometry and pressure electronic scanners. These techniques provide information about the flow in order to obtain a more complete insight of this kind of flows. The exploitation of this insight is used for the design of a new flow control concept, based on the modification of the basic frigate geometry. This new design consists in the hangar roof curvature modification that produces a smoothing of the descendent step located downstream the hangar. Modified geometries are tested in wind tunnel by means of the same methodology as the original frigate, thus a comparative analysis is established in order to perform an assessment of effectiveness. This analysis has shown good results in displacing the adverse flow from the helicopter operation path to the nearest hangar region, reducing the pilot load and the accident risks during on board operations.

Electrical energy balance contest in Solar Decathlon Europe 2012

Solar Decathlon Europe (SDE) is an international multidisciplinary competition in which 20 universityteams build and operate energy-efficient solar-powered houses. The aim of SDE is not only scientificbut also educational and divulgative, making visitors to understand the problems presented by realengineering applications and architecture. From a research perspective, the energy data gathered dur-ing the competition constitutes a very promising information for the analysis and understanding of thephotovoltaic systems, grid structures, energy balances and energy efficiency of the set of houses. Thisarticle focuses on the electrical energy components of SDE competition, the energy performance of thehouses and the strategies and behaviors followed by the teams. The rules evaluate the houses? electricalenergy self-sufficiency by looking at the electricity autonomy in terms of aggregated electrical energybalance; the temporary generation-consumption profile pattern correlation; and the use of electricityper measurable area. Although the houses are evaluated under the same climatological and consump-tion conditions, production results are very different due to the specific engineering solutions (differentelectrical topologies, presence or absence of batteries, diverse photovoltaic module solutions, etc.)

Assessment of expected damage on buildings subjected to Lorca earthquake through an energy-based seismic index method and nonlinear dynamic response analyses

The city of Lorca (Spain) was hit on May 11th, 2011, by two consecutive earth-quakes of magnitudes 4.6 and 5.2 Mw, causing casualties and important damage in buildings. Many of the damaged structures were reinforced concrete frames with wide beams. This study quantifies the expected level of damage on this structural type in the case of the Lorca earth-quake by means of a seismic index Iv that compares the energy input by the earthquake with the energy absorption/dissipation capacity of the structure. The prototype frames investigated represent structures designed in two time periods (1994–2002 and 2003–2008), in which the applicable codes were different. The influence of the masonry infill walls and the proneness of the frames to concentrate damage in a given story were further investigated through nonlinear dynamic response analyses. It is found that (1) the seismic index method predicts levels of damage that range from moderate/severe to complete collapse; this prediction is consistent with the observed damage; (2) the presence of masonry infill walls makes the structure very prone to damage concentration and reduces the overall seismic capacity of the building; and (3) a proper hierarchy of strength between beams and columns that guarantees the formation of a strong column-weak beam mechanism (as prescribed by seismic codes), as well as the adoption of counter-measures to avoid the negative interaction between non-structural infill walls and the main frame, would have reduced the level of damage from Iv=1 (collapse) to about Iv=0.5 (moderate/severe damage)

Determination of the influence of specific building regulations in smart buildings

The automation of domestic services began to be implemented in buildings since the late nineteenth century, and today we are used to terms like ‘intelligent buildings’, ‘digital home’ or ‘domotic buildings’. These concepts tell us about constructions which integrate new technologies in order to improve comfort, optimize energy consumption or enhance the security of users. In conjunction, building regulations have been updated to suit the needs of society and to regulate these new facilities in such structures. However, we are not always sure about how far, from the quantitative or qualitative point of view, legislation should regulate certain aspects of the building activity. Consequently, content analysis is adopted in this research to determine the influence of building regulations in the implementation of new technologies in the construction process. This study includes the analysis of different European regulations, the collection and documentation of such guidelines that have been established and a study of the impact that all of these have had in the way we start thinking an architectural project. The achievements of the research could be explained in terms of the regulatory requirements that must be taken into account in order to achieve a successful implementation of a home automation system, and the key finding has been the confirmation of how the design of smart buildings may be promoted through specific regulatory requirements while other factors, such as the global economic situation, do not seem to affect directly the rate of penetration of home automation in construction.

Numerical analysis of shell and spatial structures

Since the advent of the computer into the engineering field, the application of the numerical methods to the solution of engineering problems has grown very rapidly. Among the different computer methods of structural analysis the Finite Element (FEM) has been predominantly used. Shells and space structures are very attractive and have been constructed to solve a large variety of functional problems (roofs, industrial building, aqueducts, reservoirs, footings etc). In this type of structures aesthetics, structural efficiency and concept play a very important role. This class of structures can be divided into three main groups, namely continuous (concrete) shells, space frames and tension (fabric, pneumatic, cable etc )structures. In the following only the current applications of the FEM to the analysis of continuous shell structures will be discussed. However, some of the comments on this class of shells can be also applied to some extend to the others, but obviously specific computational problems will be restricted to the continuous shells. Different aspects, such as, the type of elements,input-output computational techniques etc, of the analysis of shells by the FEM will be described below. Clearly, the improvements and developments occurring in general for the FEM since its first appearance in the fifties have had a significative impact on the particular class of structures under discussion.

Numerical methods in Nonlinear Analysis of shell structures

The design of shell and spatial structures represents an important challenge even with the use of the modern computer technology.If we concentrate in the concrete shell structures many problems must be faced,such as the conceptual and structural disposition, optimal shape design, analysis, construction methods, details etc. and all these problems are interconnected among them. As an example the shape optimization requires the use of several disciplines like structural analysis, sensitivity analysis, optimization strategies and geometrical design concepts. Similar comments can be applied to other space structures such as steel trusses with single or double shape and tension structures. In relation to the analysis the Finite Element Method appears to be the most extended and versatile technique used in the practice. In the application of this method several issues arise. First the derivation of the pertinent shell theory or alternatively the degenerated 3-D solid approach should be chosen. According to the previous election the suitable FE model has to be adopted i.e. the displacement,stress or mixed formulated element. The good behavior of the shell structures under dead loads that are carried out towards the supports by mainly compressive stresses is impaired by the high imperfection sensitivity usually exhibited by these structures. This last effect is important particularly if large deformation and material nonlinearities of the shell may interact unfavorably, as can be the case for thin reinforced shells. In this respect the study of the stability of the shell represents a compulsory step in the analysis. Therefore there are currently very active fields of research such as the different descriptions of consistent nonlinear shell models given by Simo, Fox and Rifai, Mantzenmiller and Buchter and Ramm among others, the consistent formulation of efficient tangent stiffness as the one presented by Ortiz and Schweizerhof and Wringgers, with application to concrete shells exhibiting creep behavior given by Scordelis and coworkers; and finally the development of numerical techniques needed to trace the nonlinear response of the structure. The objective of this paper is concentrated in the last research aspect i.e. in the presentation of a state-of-the-art on the existing solution techniques for nonlinear analysis of structures. In this presentation the following excellent reviews on this subject will be mainly used.

A methodology to calibrate structural finite element models for reinforced concrete structures subject to blast loads

Civil buildings are not specifically designed to support blast loads, but it is important to take into account these potential scenarios because of their catastrophic effects, on persons and structures. A practical way to consider explosions on reinforced concrete structures is necessary. With this objective we propose a methodology to evaluate blast loads on large concrete buildings, using LS-DYNA code for calculation, with Lagrangian finite elements and explicit time integration. The methodology has three steps. First, individual structural elements of the building like columns and slabs are studied, using continuum 3D elements models subjected to blast loads. In these models reinforced concrete is represented with high precision, using advanced material models such as CSCM_CONCRETE model, and segregated rebars constrained within the continuum mesh. Regrettably this approach cannot be used for large structures because of its excessive computational cost. Second, models based on structural elements are developed, using shells and beam elements. In these models concrete is represented using CONCRETE_EC2 model and segregated rebars with offset formulation, being calibrated with continuum elements models from step one to obtain the same structural response: displacement, velocity, acceleration, damage and erosion. Third, models basedon structural elements are used to develop large models of complete buildings. They are used to study the global response of buildings subjected to blast loads and progressive collapse. This article carries out different techniques needed to calibrate properly the models based on structural elements, using shells and beam elements, in order to provide results of sufficient accuracy that can be used with moderate computational cost.

Caracterización estructural de los rellenos situados en el trasdós de bóvedas de edificios históricos

El papel esencial de los rellenos en el comportamiento y la estabilidad de las construcciones de fábrica ha sido sorprendentemente ignorado en la bibliografía técnica, contribuyendo este trabajo a cubrir esta laguna del conocimiento. Se presenta en primer lugar la configuración morfológica de los rellenos del trasdós de bóvedas en la Península Ibérica en tres periodos histórico-técnicos: la construcción romana, la románica y la gótica. La clasificación se ha realizado en base a inspecciones visuales de diferentes edificios. En sendos anexos se presentan análisis comparados de la base de datos que se ha reunido y las fichas de las construcciones consideradas. En segundo lugar se ha caracterizado el papel estructural de los rellenos, identificándose las características intrínsecas que se estiman más significativas de dichos rellenos en relación tanto con su propia configuración como con su función estructural. Muy en particular se proponen unas leyes de empujes coherentes con la naturaleza y con las condiciones de contorno de los rellenos y las bóvedas. En esta tesis se ha desarrollado una sencilla, potente y suficiente herramienta de análisis que considera las principales variables que intervienen en el comportamiento de una estructura de fábrica, incluyendo muy particularmente los rellenos. Para ello se ha planteado una herramienta basada en el análisis límite que incluye la comprobación tensional de los diferentes esfuerzos, normales o tangenciales, así como la interfaz entre bóvedas y rellenos, dotándose a los técnicos de una herramienta que permite entender estas estructuras, de complejo funcionamiento. La herramienta propuesta incluye consideraciones energéticas para encontrar la solución más cercana al funcionamiento real. La herramienta se ha calibrado con ejemplos analizados por otros autores con diferentes procedimientos, poniéndose de manifiesto su suficiente precisión y eficacia, especialmente si se tiene en cuenta que requiere sólo de unos datos mínimos. La calibración se ha extendido al ensayo en modelo reducido de este tipo de estructuras en el Laboratorio de Estructuras de la Escuela de Ingenieros de Caminos, Canales y Puertos de Madrid. Fruto de esa calibración, se ha realizado un amplio estudio paramétrico que permite cuantificar la influencia que tienen en el comportamiento estructural variables como el apuntamiento de las bóvedas (relación luz/flecha), su esbeltez (relación luz/canto en clave), la altura de los rellenos rígidos, la altura de los rellenos granulares, etc. Ese estudio ha permitido identificar los puntos críticos, las ratios características que condicionan el comportamiento y, en fin, los aspectos clave del análisis estructural de estas construcciones desde el punto de vista de la interrelación, hasta ahora desconocida, de estructura y relleno, que también es estructura. Ello permitirá orientar de mejor manera las inspecciones de estas estructuras y sus análisis estructurales. Finalmente, la tesis concluye con el desarrollo de tres ejemplos, correspondientes cada uno de ellos a los periodos históricos referidos, en los que se pone de manifiesto el papel crucial de los rellenos en la estabilidad no sólo de las bóvedas sino del resto de elementos estructurales que componen un edificio (pilares, muros, botareles, etc.). Al final se presentan las conclusiones del trabajo y se enumeran las muchas líneas de trabajo que quedan abiertas tras esta tesis. It is surprising that the essential role of the backfill at the extrados of masonry vaults and domes has been ignored or misunderstood in the technical literature. The main purpose of this work is to contribute to overcome such a lacuna. Firstly, the morphological configuration of backfill that can be found in the Iberian Peninsula in Roman, Romanesque and Gothic buildings is also presented. Two annexes are devoted to show the collected database and the result of its analysis. Then, the structural role of backfill is characterised, as well as the intrinsic and most significant properties related both to its configuration and structural function. Thus, specific thrust values are proposed to analyse such structures, taking into account the nature and boundary conditions of walls and vaults. The simple, powerful and sufficient tool of analysis that has been developed is also presented, including the main variables involved, especially the backfill. The limit analysis method, followed by a stress verification, including the extrados of vaults and backfill interface, and an enhanced algorithm based on energetic considerations, are used to provide technicians a tool to understand this type of structures efficiently, in a balanced situation between the rather scarce amount of information and sufficient accuracy and liability. The tool was calibrated by comparing the experimental and theoretical results provided by different authors regarding several examples, as well as our own experimental campaign carried out at the Civil Engineering School of Madrid. A parametric study is also developed, providing original information about the structural importance of several parameters, as the span-to-depth or span-to-rise ratios, relative height of backfill, etc. As a result of this analysis, critical points and tendencies of structural behaviour were detected, helping technicians to inspect and analyse these constructions, also revealing some particularities related to their construction. Furthermore, a set of three examples corresponding to the three structural typologies analysed (Roman, Romanesque and Gothic) is studied. The crucial importance of backfill is then highlighted, not only for the stability of vaults or domes, but also for the equilibrium of walls, pillars and buttresses. Finally, the conclusions of the study and the future research fields are also presented.

Estudio de las propiedades de las fábricas históricas de adobe como soporte a intervenciones de rehabilitación

El extenso legado edificado que constituyen las construcciones históricas de fábrica de adobe distribuidas por toda la península encuentra en la región de Aveiro (Portugal) su máxima expresión, tanto desde el punto de vista cuantitativo, un 30% de los edificios existentes en la región, como tipológico, compuesto por un amplio conjunto de diferentes construcciones (edificios residenciales, edificios militares, iglesias, escuelas, teatros, naves industriales, etc.), muchos de los cuales de reconocido valor histórico, arquitectónico y patrimonial. Tras la gradual desaparición del empleo de la fábrica de adobe como técnica constructiva, durante la segunda mitad del siglo XX, la necesaria conservación y/o rehabilitación de los edificios remanentes no se ha tenido en cuenta. Como consecuencia de esta actitud generalizada de pasividad continuada, se verifica el estado actual de deterioro y de daño acusado que presentan una gran parte de estas construcciones, del cual ha resultado el panorama presente de abandono y ruina en el que se encuentran muchas de ellas. Por regla general, la solución adoptada para afrontar el estado actual de los edificios en estas condiciones suele ser la demolición. No obstante lo anterior, en los últimos años, se viene produciendo en el seno de los diferentes agentes que intervienen en la toma de decisiones sobre estos edificios un interés creciente en su preservación, promoviendo la rehabilitación de los mismos. Empieza de este modo a cobrar importancia la necesidad de desarrollar estrategias de intervención que posibiliten alargar la vida útil de estas estructuras, permitiendo, por un lado, establecer metodologías de análisis de sus condiciones de seguridad, que posibiliten determinar las medidas de actuación necesarias para el aseguramiento de las mismas frente a las acciones existentes y, en su caso, a la incorporación de nuevas solicitaciones debidas a cambios de uso o ampliaciones, así como, dando respuesta a los principales mecanismo de daño a los que se encuentran sujetas. Tratándose de estructuras que fueron construidas utilizando técnicas y materiales escasamente estudiados y entre tanto abandonados, se hace también necesario, y con carácter previo a lo anterior, acometer un estudio e investigación multidisciplinares que permitan su caracterización y comprensión, y la par establecer un diagnóstico sobre los principales agentes y procesos patológicos que promueven el deterioro de las mismas. En este contexto, el estudio llevado a cabo tuvo como objetivos ampliar el conocimiento e investigación acerca de las propiedades y parámetros resistentes de las fábricas históricas de adobe, así como, analizar los principales mecanismos de daño asociados a las mismas, a la luz del el estado actual de estas construcciones, y su repercusión en el comportamiento resistente de las fábricas –con especial énfasis para la influencia del agua–. De este modo, se pretendió construir una base de resultados que, por un lado, pueda servir de soporte a intervenciones de rehabilitación y/o consolidación de estas estructuras – permitiendo de forma ágil y a partir de datos y recursos de cálculo expeditos la evaluación de los niveles de seguridad en las fábricas–, y por otro, el estudio de soluciones de mejora o corrección de deficiencias en su comportamiento estructural. The vast edified legacy composed of the historical adobe load-bearing walls which can be found spread all over the Iberian peninsula has, in the region of Aveiro (Portugal), its maximum expression, both from a quantitative point of view (around 30% of the local construction) and a typological point of view, including a considerable number of different types of constructions (residential buildings, military buildings, churches, industrial buildings, etc.), most of which have a recognized high historical, architectural and patrimonial value. The conservation and/or rehabilitation of many of these edifications has been neglected, since its gradual abandonment as constructive technique during the second half of the 20th century. As a consequence of this posture of general passivity, it is nowadays visible the state of pronounced damage manifested by great part of these constructions, which has been leading to their abandonment and state of ruin. In most cases, the option for demolition has been the solution found to face the actual state of these constructions. However, in recent years, a growing interest in the preservation and maintenance of the adobe constructions has become visible by the envolved parties, with the obvious consequence of rehabilitation. By so, it becomes mandatory to develop strategies of intervention that, through rehabilitation, are able to extend the useful life of the existing structures, allowing on one hand, to establish methodologies to analyze their safety state and determine the actions needed to ensure their protection against existing pressures and, when applicable, the occurrence of new demands due to changes of use or extensions, and on the other hand, to give response to the main damage mechanisms to which these structures are exposed. Because these structures were built using not very well know techniques and materials, which have been, in the meantime, abandoned, it is now crucial that these are object of a previous phase of study and multidisciplinary investigation, essential not only to their characterization and comprehension, but also to the diagnosis of the main pathological processes that affect them. In this context, the present study had as main goal to develop the analysis and knowledge regarding the properties and resistant parameters of the adobe masonry as well as bringing to the light of day the actual state of the existing adobe constructions, making evident the main damage mechanisms by which they are affected and analyzing, through their occurrence, the vulnerability of the mentioned properties and resistant parameters. By so, it was objective of the present study the development of a result database which on one hand, supports the execution of rehabilitation interventions and/or strengthening of these constructions and, on other hand, allows the development of improvement solutions in the mechanical characteristics of the adobe masonry which permit corrections of deficiencies in their structural behavior with a special emphasis on the influence of water. Thus, a database of results was developed. Its goal is, on one hand, to support the rehabilitation or consolidation interventions on these structures - allowing for a quick analysis of the safety state of the adobe walls from expedite data and calculus resources and, on the other hand, to study improvement or correction solutions of their structural behavior.

Caracterización de sistemas vibroacústicos mediante análisis estadístico de energía

Hoy día nadie discute la importancia de predecir el comportamiento vibroacústico de estructuras (edificios, vehículos aeronaves, satélites). También se ha hecho patente, con el tiempo, que el rango espectral en el que la respuesta es importante se ha desplazado hacia alta frecuencia en prácticamente todos los campos. Esto ha hecho que los métodos de análisis en este rango alto de frecuencias cobren importancia y actualidad. Uno de los métodos más extendidos para este fin es el basado en el Análisis Estadístico de la Energía, SEA. Es un método que ha mostrado proporcionar un buen equilibrio entre potencia de calculo, precisión y fiabilidad. En un SEA el sistema (estructura, cavidades o aire circundante) se modela mediante una matriz de coeficientes que dependen directamente de los factores de pérdidas de las distintas partes del sistema. Formalmente es un método de análisis muy cómodo e intuitivo de manejar cuya mayor dificultad es precisamente la determinación de esos factores de pérdidas. El catálogo de expresiones analíticas o numéricas para su determinación no es suficientemente amplio por lo que normalmente siempre se suele acabar necesitando hacer uso de herramientas experimentales, ya sea para su obtención o la comprobación de los valores utilizados. La determinación experimental tampoco está exenta de problemas, su obtención necesita de configuraciones experimentales grandes y complejas con requisitos que pueden llegar a ser muy exigentes y en las que además, se ven involucrados problemas numéricos relacionados con los valores de los propios factores de pérdidas, el valor relativo entre ellos y las características de las matrices que conforman. Este trabajo estudia la caracterización de sistemas vibroacústicos mediante el análisis estadístico de energía. Se centra en la determinación precisa de los valores de los factores de pérdidas. Dados los problemas que puede presentar un sistema experimental de estas características, en una primera parte se estudia la influencia de todas las magnitudes que intervienen en la determinación de los factores de pérdidas mediante un estudio de incertidumbres relativas, que, por medio de los coeficientes de sensibilidad normalizados, indicará la importancia de cada una de las magnitudes de entrada (esencialmente energías y potencias) en los resultados. De esta parte se obtiene una visión general sobre a qué mensurados se debe prestar más atención, y de qué problemas pueden ser los que más influyan en la falta de estabilidad (o incoherencia) de los resultados. Además, proporciona un modelo de incertidumbres válido para los casos estudiados y ha permitido evaluar el error cometido por algún método utilizado habitualmente para la caracterización de factores de pérdidas como la aproximación a 2 subsistemas En una segunda parte se hace uso de las conclusiones obtenidas en la primera, de forma que el trabajo se orienta en dos direcciones. Una dirigida a la determi nación suficientemente fiel de la potencia de entrada que permita simplificar en lo posible la configuración experimental. Otra basada en un análisis detallado de las propiedades de la matriz que caracteriza un SEA y que conduce a la propuesta de un método para su determinación robusta, basada en un filtrado de Montecarlo y que, además, muestra cómo los problemas numéricos de la matriz SEA pueden no ser tan insalvables como se apunta en la literatura. Por último, además, se plantea una solución al caso en el que no todos los subsistemas en los que se divide el sistema puedan ser excitados. El método propuesto aquí no permite obtener el conjunto completo de coeficientes necesarios para definir un sistema, pero el solo hecho de poder obtener conjuntos parciales ya es un avance importante y, sobre todo, abre la puerta al desarrollo de métodos que permitan relajar de forma importante las exigencias que la determinación experimental de matrices SEA tiene. ABSTRACT At present there is an agreement about the importance to predict the vibroacoustic response of structures (buildings, vehicles, aircrafts, satellites, etc.). In addition, there has become clear over the time that the frequency range over which the response is important has been shift to higher frequencies in almost all the engineering fields. As a consequence, the numerical methods for high frequency analysis have increase in importance. One the most widespread methods for this type of analysis is the one based on the Statistical Energy Analysis, SEA. This method has shown to provide a good balance among calculation power, accuracy and liability. Within a SEA, a system (structure, cavities, surrounding air) is modeled by a coefficients matrix that depends directly on the loss factors of the different parts of the system. Formally, SEA is a very handy and intuitive analysis method whose greatest handicap is precisely the determination of the loss factors. The existing set of analytical or numerical equations to obtain the loss factor values is not enough, so that usually it is necessary to use experimental techniques whether it is to its determination to to check the estimated values by another mean. The experimental determination presents drawbacks, as well. To obtain them great and complex experimental setups are needed including requirements that can be very demanding including numerical problems related to the values of the loss factors themselves, their relative value and the characteristics of the matrices they define. The present work studies the characterization of vibroacousti systems by this SEA method. It focuses on the accurate determination of the loss factors values. Given all the problems an experimental setup of these characteristics can show, the work is divided in two parts. In the first part, the influence of all the quantities involved on the determination of the loss factors is studied by a relative uncertainty estimation, which, by means of the normalised sensitivity coefficients, will provide an insight about the importance of every input quantities (energies and input powers, mainly) on the final result. Besides, this part, gives an uncertainty model that has allowed assessing the error of one of the methods more widely used to characterize the loss factors: the 2-subsystem approach. In the second part, use of the former conclusions is used. An equation for the input power into the subsystems is proposed. This equation allows simplifying the experimental setup without changing the liability of the test. A detailed study of the SEA matrix properties leads to propose a robust determination method of this SEA matrix by a Monte Carlo filtering. In turn, this new method shows how the numerical problems of the SEA matrix can be overcome Finally, a solution is proposed for the case where not all the subsystems are excited. The method proposed do not allows obtaining the whole set of coefficients of the SEA matrix, but the simple fact of getting partial sets of loss factors is a significant advance and, over all, it opens the door to the development of new methods that loosen the requirements that an experimental determination of a SEA matrix have.

Cómic, arquitectura narrativa. Describiendo cuatro dimensiones con dos

Cómic, arquitectura narrativa. Describiendo cuatro dimensiones con dos. La mayor parte de los estudios con un enfoque académico en torno a cómic y arquitectura, se han centrado más en las distintas realidades representadas dentro del medio, en sus decorados, que en la estructura del cómic en sí. Existe un aspecto gráfico que se ha venido obviando o al menos no ha adquirido el protagonismo que merece: los espacios representados en el cómic se encuentran en un medio que se concibe y estructura de una manera similar a como el arquitecto dibuja y concibe la arquitectura. En lo básico, históricamente, las herramientas y soportes para idear y representar la arquitectura son muy parecidas a aquellas que usa el autor de cómic. Lápiz, tinta y color sobre un papel, combinadas trabajando en un tablero, ese es lugar de nacimiento de ambos mundos. A lo largo de esta tesis se muestra cómo el dibujo une a creadores de narraciones gráficas y edificios. La relación va más allá de que el cómic pueda utilizar las disposiciones vitruvianas, ichnographia, ortographia o scenographia, (planta, alzado, perspectiva), la propia articulación que hace del espacio de la página, puede sintonizar con la manera en la que se concibe una estructura arquitectónica. La tesis inicia con un capítulo de recorrido en torno a las teorías del cómic existentes, buscando intersecciones posibles con la representación arquitectónica o el proyecto espacial. En este primer paso de estudio del estado de la cuestión han pesado más los trabajos de los últimos veinticinco años. Se trata de un periodo en el que, a la par que se ha producido una explosión creativa en el mundo del cómic, determinados teóricos han incidido en un análisis más formal y visual del medio. Tras recoger teorías en el primer capítulo, se plantea un recorrido histórico a la búsqueda de posibles resonancias de “arquitecturas mentales” en el pasado. Esta búsqueda de referentes más allá del siglo XIX, momento en el que nace el medio en su forma actual, es ya un aspecto comúb en distintos estudios de cómic que han servido de inspiración. Se ha preferido ubicar esta colección de antecedentes como segundo capítulo, evitando dar al trabajo un carácter de historia e incidiendo en su enfoque de tipo visual. El tercer capítulo analiza una serie de obras y autores de cómic en su forma actual, buscando distintas estrategias para la descripción de espacios y las narraciones que ocurren en ellos. El crecimiento de casos en estas últimas décadas ha demostrado hasta qué punto el desarrollo de un campo depende tanto de que exista una masa crítica en un contexto conectado y productivo, como de la aparición de individuos que abren puertas a los demás, con la cristalización personal que hacen de una situación. Se analiza en un cuarto capítulo la relación entre la arquitectura y el cómic modernos. Una relación que se presenta partiendo desde sus respectivos padres, para después tratar un elenco creciente de experiencias en el que la narración gráfica y el hecho arquitectónico estan íntimamente ligados. Inspirado en la estrategia que Gubern y Gasca utilizan en El discurso del cómic (Cátedra, 1988) se cierra la tesis con un discurso visual por las arquitecturas mentales y narrativas del cómic: la representación del espacio a través de juego con las dimensiones, el uso de recursos gráficos propios de la descripción arquitectónica, la sección, la planta, la utilización de elementos constructivos,etc, completando el abanico de estrategias gráficas presentadas. ABSTRACT Comic narrative architecture. Describing four dimensions with two Most of the studies with an academic focus around comics and architecture have centered their view more on the different realities represented in the media, in its sets, than in the structure of comics itself. There is a graphic aspect that has been ignored, or at least has not gained the prominence it deserves: the spaces rendered in the comics are set in a medium that is conceived and structured in a similar way as the architect draws and conceives architecture. In basics, tools for designing and representing architecture are very similar to those used by the cartoonist. Pencil, ink and color on paper, combined working on a board, that is birthplace of both worlds. Throughout this thesis its shown how drawing connects creators of graphic stories and buildings. The relationship goes beyond the use that comics can do of the Vitruvian provisions, ichnographia, ortographia or scenographia (plan, elevation, perspective), to the arrange itself that it makes with space on the page, in tune with the way in which architectural structures are conceived. The thesis starts with a chapter that collects existing comics theories and their possible intersection with architectural rendering. In this first step of study on the state of affairs, the focus has been over studies from the last twenty years. It is a period in which, at the same time that there has been a creative explosion in the world of comics, some theorists have worked with a more formal and visual approach. After collecting theories in the first chapter, a historical tour is made to search for possible resonances of “mental architectures” in the past. This search for references beyond the nineteenth century, when the medium was born in its current form, is already a regular process in various recent studies that have served as inspiration. We preferred to locate this as a second chapter, to avoid giving the work a character of History, and reenforcing its visual approach. The third chapter analyzes a series of comics and authors, looking for different strategies for describing spaces and stories that occur in them. The growth of cases in recent decades has shown how the development of a field depends both on the existence of a critical mass in a connected and productive enviroment, and the appearance of individuals who open doors to others with the personal crystallization that they make on that context. The relationship between architecture and the modern comic is analyzed in a fourth chapter. A relationship that is described starting from their parents, and then going through a growing cast of experiences in which graphic narrative and architecture are closely linked. Inspired by the strategy used Gubern and Gasca in El discurso del cómic (Cátedra, 1988), The Comics’ Speech, the thesis concludes with a visual discourse through this narrative comic architectures: the representation of space by playing with dimensions, the use of resources for architectural rendering, section, plant, etc., to complete the range of graphical strategies presented.