Analysis of the geometric altimetry to support aircraft optimal trajectories within the future 4d trajectory management

Over the past few years, the common practice within air traffic management has been that commercial aircraft fly by following a set of predefined routes to reach their destination. Currently, aircraft operators are requesting more flexibility to fly according to their prefer- ences, in order to achieve their business objectives. Due to this reason, much research effort is being invested in developing different techniques which evaluate aircraft optimal trajectory and traffic synchronisation. Also, the inefficient use of the airspace using barometric altitude overall in the landing and takeoff phases or in Continuous Descent Approach (CDA) trajectories where currently it is necessary introduce the necessary reference setting (QNH or QFE). To solve this problem and to permit a better airspace management born the interest of this research. Where the main goals will be to evaluate the impact, weakness and strength of the use of geometrical altitude instead of the use of barometric altitude. Moreover, this dissertation propose the design a simplified trajectory simulator which is able to predict aircraft trajectories. The model is based on a three degrees of freedom aircraft point mass model that can adapt aircraft performance data from Base of Aircraft Data, and meteorological information. A feature of this trajectory simulator is to support the improvement of the strategic and pre-tactical trajectory planning in the future Air Traffic Management. To this end, the error of the tool (aircraft Trajectory Simulator) is measured by comparing its performance variables with actual flown trajectories obtained from Flight Data Recorder information. The trajectory simulator is validated by analysing the performance of different type of aircraft and considering different routes. A fuel consumption estimation error was identified and a correction is proposed for each type of aircraft model. In the future Air Traffic Management (ATM) system, the trajectory becomes the fundamental element of a new set of operating procedures collectively referred to as Trajectory-Based Operations (TBO). Thus, governmental institutions, academia, and industry have shown a renewed interest for the application of trajectory optimisation techniques in com- mercial aviation. The trajectory optimisation problem can be solved using optimal control methods. In this research we present and discuss the existing methods for solving optimal control problems focusing on direct collocation, which has received recent attention by the scientific community. In particular, two families of collocation methods are analysed, i.e., Hermite-Legendre-Gauss-Lobatto collocation and the pseudospectral collocation. They are first compared based on a benchmark case study: the minimum fuel trajectory problem with fixed arrival time. For the sake of scalability to more realistic problems, the different meth- ods are also tested based on a real Airbus 319 El Cairo-Madrid flight. Results show that pseudospectral collocation, which has shown to be numerically more accurate and computa- tionally much faster, is suitable for the type of problems arising in trajectory optimisation with application to ATM. Fast and accurate optimal trajectory can contribute properly to achieve the new challenges of the future ATM. As atmosphere uncertainties are one of the most important issues in the trajectory plan- ning, the final objective of this dissertation is to have a magnitude order of how different is the fuel consumption under different atmosphere condition. Is important to note that in the strategic phase planning the optimal trajectories are determined by meteorological predictions which differ from the moment of the flight. The optimal trajectories have shown savings of at least 500 [kg] in the majority of the atmosphere condition (different pressure, and temperature at Mean Sea Level, and different lapse rate temperature) with respect to the conventional procedure simulated at the same atmosphere condition.This results show that the implementation of optimal profiles are beneficial under the current Air traffic Management (ATM).

Optimized design of the prestress in continuous bridge decks

In this paper a method for automatic design of the prestress in continuous bridge decks is presented. In a first step of the procedure the optimal prestressed force for a completely geometrically defined and feasible prestress layout is obtained by means of linear programming techniques. Further on, in a second step the prestress geometry and minimum force are automatically found by steepest descent optimization techniques. Finally this methodology is applied to two-span continuous bridge decks and from the obtained results some preliminary design rules can be drawn.

Estudio de una metodología para transformar cualquier geometría en antifunicular añadiendo cargas externas

El antifunicular de cargas viene siendo empleado en la búsqueda de la mejor directriz para el diseño de arcos. Sin embargo, en muchas ocasiones, su forma acaba impuesta por condicionantes no meramente estructurales y su comportamiento dista de ser el óptimo. En este trabajo se propone un nuevo enfoque en el que son las cargas las que se adaptan a la geometría. Mediante la aplicación de una serie de cargas puntuales adicionales es posible obtener un comportamiento muy próximo a la compresión simple. Lo que se traduce en un importante descenso en las tensiones máximas que implica enormes ventajas. Las cargas se materializan mediante un cable de pretensado y se transmiten al arco por medio de barras, que pueden trabajar tanto a tracción como a compresión, dependiendo de la posición del cable con respecto a la estructura. Para sacar provecho a esta metodología, se ha realizado un programa que obtiene las diferentes configuraciones de este sistema para cualquier geometría introducida. Esta metodología permite diseñar estructuras de formas muy dispares dando solución a las demandas externas de una manera eficiente, elegante e innovadora. The antifunicular geometry has been employed as the optimal shape of a curved structure because it exhibits no bending under design loading. However, this shape is often defined by non-structural issues. Inevitably its behaviour is far from the ideal. The new approach, proposed in this study, consists in adding external loads to the main geometry in order to convert it into an antifunicular one. Adding point loads is possible to transform any geometry into a compression-only structure. This provides an important descent in terms of maximum stresses with great advantages for designing material-efficient structures. In the proposed system the loads are transmitted from a prestressed cable to the arch through struts, which can work in compression or in tension. It is possible to obtain different layouts of the cable for each starting shape. A computer programme has been implemented to solve it easily. This methodology allows to design structures of very different shapes, providing a solution to external demands in an efficient, innovative and elegant way.

Pararotor dynamics: center of mass displacement from the blade plane—analytical approach

The pararotor is a biology-inspired decelerator device based on the autorotation of a rotary wing whose main purpose is to guide a load descent into a certain atmosphere. This paper focuses on a practical approach to the general dynamic stability of a pararotor whose center of mass is displaced from the blade plane. The analytical study departs from the motion equations of pararotor flight, considering the center of mass displacement from the blade plane, studied over a number of simplifying hypotheses that allows determining the most important influences to flight behavior near equilibrium. Two practical indexes are developed to characterize the stability of a pararotor in terms of geometry, inertia, and the aerodynamic characteristics of the device. Based on these two parameters, a stability diagram can be defined upon which stability regions can be identified. It was concluded that the ability to reach stability conditions depends mainly on a limited number of parameters associated with the pararotor configuration: the relationship between moments of inertia, the position of the blades, the planform shape (associated with the blade aerodynamic coefficients and blade area), and the vertical distance between the center of mass and the blade plane. These parameters can be evaluated by computing practical indexes to determine stability behavior.

Habitar al borde del agua : villas del siglo XX

Las casas del siglo XX construidas al borde del mar –escenario único y origen de su expresión- siguen la topografía del suelo que habitan en su descenso al agua, y organizan espacios que obtienen miradas al horizonte marino. El horizonte nos confronta a lo desconocido. La vista del mar incita al deseo de recorrerlo, al deseo de viajar. Con origen en el otium romano, la presencia del agua define un modo de vida apacible –epicúreo- que los viajeros de la arquitectura -que nos acompañan en la tesis- traducen en sus refugios más íntimos. Experimentan con los cambios en los conceptos y en las técnicas, que se trasladan fácilmente a la arquitectura de la casa al borde del agua desde los inicios del Movimiento Moderno. Sus espacios del habitar frente al mar nos permiten descubrir estrategias comunes en sus respuestas más modernas. El arquitecto ante el proyecto frente al mar llega a la ubicación elegida, mira hacia el horizonte, y desplazándose ladera arriba se coloca en un punto estratégico que elige; después, delante de su tablero, recorre el camino inverso, coloca el lugar y sobre él dibuja los elementos que configurarán los espacios de la casa buscando esa mirada al mar. Las situaciones y ubicaciones posibles son infinitas; se definen algunas consonancias espaciales comunes en los suelos que se ocupan debidas a la presencia del mar que asociamos entre sí. De la comparación entre todas las casas -emblemas del XX-, surgen múltiples variantes de la mirada y de espacios al abierto, y modos de fabricar entornos con criterios comunes para dominar la visión del mar. Interiores que se abren al panorama, espacios cuyas ventanas buscan su mirada en la extensión del horizonte, rescisiones y aperturas. Reconocemos condicionantes en el territorio a los que las villas responden, categorías arquitectónicas que dan respuesta frente al mar en la búsqueda del moderno, la topografía, la mirada y el espacio al abierto. Las casas comparten la idea del dominio del paisaje desde el punto más alto, y en algunos suelos se invierte la tipología por la topografía, confirmando así un criterio común basado en la lectura del suelo como consecuencia de la búsqueda del espacio de la mirada. Los espacios al abierto se significan en todas ellas, son espacios al -aire libre- abiertos, unos envueltos, otros porticados, puertas del horizonte que se abren al exterior, en el techo de la casa, otros cubiertos y abiertos, espacios entre interior y exterior, en plataformas con bancales o patios envolventes, recintos o habitaciones abiertas. Descubrimos un logro del XX en los espacios positivos o negativos que traducen o juegan con el entorno, que ocupan o sustraen de los contornos construidos y que obtienen espacios intermedios en la búsqueda de la relación con el mar. Las herramientas que se utilizan son los dibujos de los autores, de las casas visitadas, el elenco de viajeros y sus viajes, el conocimiento desde el estudio de los proyectos. A través de la comparación por aproximaciones parciales, los dibujos nos definen la mirada al mar, el modo de ocupación y la forma de relación con el paisaje. La arquitectura del habitar frente al mar en el XX, hecha para y por arquitectos, topografía el suelo y construye la mirada, fabricando espacios al abierto en la relación entre la casa y el entorno marítimo. ABSTRACT Houses of the 20th century built by the sea – a unique setting which gives rise to their expression – follow the topography of the land they occupy in its descent towards the sea, and they organize spaces which give views of the maritime horizon. The horizon brings us face to face with the unknown. The sea view provokes a desire to cross it, to travel. The presence of the sea defines a peaceful, epicurean way of life, with origins in the Roman otium, which architectural travellers – who accompany us through the thesis – translate into their most intimate retreats. They experiment with changes in concepts and techniques, which are easily transferred to the architecture of the seaside house since the beginnings of the Modern Movement. Their living spaces allow us to discover common strategies in the most modern responses. The architect with a seaside project arrives at the site, looks towards the horizon, then walks uphill and chooses a strategic point; then with his drawing board he retraces his steps, he sets the position and then draws in the elements that make up the house that seeks a sea view. The number of potential situations and locations is infinite; certain common spatial accordances are defined in land which is occupied due to the presence of the sea. Comparison of all the houses – 20th century emblems – throws up multiple variations of view and open spaces, and ways of creating settings with common criteria so as to command the vision of the sea. Interiors which open up to the panorama, spaces whose windows seek their view in the expanse of the horizon, openings and closures. We recognise determinant factors in the territory to which the villas respond, architectural categories which give a seaside solution to the search for the modern, the topography, the view, and the open space. The houses share the idea of dominating the landscape from the highest point, and in some areas typology and topography are inverted, thus confirming a common criteria based on the reading of the ground as a conse quence of the search for the view space. Open spaces stand out in all the villas – spaces open to the outdoor air - some are wrapped, some arcaded, doors to the horizon which open up to the exterior, on the roof of the house. There are open and covered spaces, spaces between the exterior and interior, on platforms with banks and surrounding patios, enclosures and open rooms. We discover an achievement of the 20th century in the positive and negative spaces which translate and play with the setting, which occupy or are extracted from built contours and which obtain intermediate spaces in the search for the relationship with the sea. The tools used are the author’s drawings of the houses visited, the cast of travelling companions and their travels, the knowledge gained from study of the projects. Through comparison by means of partial approaches, the drawings define the view of the sea, the occupation mode and the way of relating to the landscape. Architecture for living by the sea in the 20th century, carried out both by and for the architects, shapes the land and constructs the view, creating open spaces in the relationship between the house and the sea surroundings.

Two-dimensional isostatic meshes in the finite element method

In a Finite Element (FE) analysis of elastic solids several items are usually considered, namely, type and shape of the elements, number of nodes per element, node positions, FE mesh, total number of degrees of freedom (dot) among others. In this paper a method to improve a given FE mesh used for a particular analysis is described. For the improvement criterion different objective functions have been chosen (Total potential energy and Average quadratic error) and the number of nodes and dof's of the new mesh remain constant and equal to the initial FE mesh. In order to find the mesh producing the minimum of the selected objective function the steepest descent gradient technique has been applied as optimization algorithm. However this efficient technique has the drawback that demands a large computation power. Extensive application of this methodology to different 2-D elasticity problems leads to the conclusion that isometric isostatic meshes (ii-meshes) produce better results than the standard reasonably initial regular meshes used in practice. This conclusion seems to be independent on the objective function used for comparison. These ii-meshes are obtained by placing FE nodes along the isostatic lines, i.e. curves tangent at each point to the principal direction lines of the elastic problem to be solved and they should be regularly spaced in order to build regular elements. That means ii-meshes are usually obtained by iteration, i.e. with the initial FE mesh the elastic analysis is carried out. By using the obtained results of this analysis the net of isostatic lines can be drawn and in a first trial an ii-mesh can be built. This first ii-mesh can be improved, if it necessary, by analyzing again the problem and generate after the FE analysis the new and improved ii-mesh. Typically, after two first tentative ii-meshes it is sufficient to produce good FE results from the elastic analysis. Several example of this procedure are presented.

Genome-Wiide estimates of coancestry, in breeding and effective population size in the Spanish Holstein population

Estimates of effective population size in the Holstein cattle breed have usually been low despite the large number of animals that constitute this breed. Effective population size is inversely related to the rates at which coancestry and inbreeding increase and these rates have been high as a consequence of intense and accurate selection. Traditionally, coancestry and inbreeding coefficients have been calculated from pedigree data. However, the development of genome-wide single nucleotide polymorphisms has increased the interest of calculating these coefficients from molecular data in order to improve their accuracy. In this study, genomic estimates of coancestry, inbreeding and effective population size were obtained in the Spanish Holstein population and then compared with pedigree-based estimates. A total of 11,135 animals genotyped with the Illumina BovineSNP50 BeadChip were available for the study. After applying filtering criteria, the final genomic dataset included 36,693 autosomal SNPs and 10,569 animals. Pedigree data from those genotyped animals included 31,203 animals. These individuals represented only the last five generations in order to homogenise the amount of pedigree information across animals. Genomic estimates of coancestry and inbreeding were obtained from identity by descent segments (coancestry) or runs of homozygosity (inbreeding). The results indicate that the percentage of variance of pedigree-based coancestry estimates explained by genomic coancestry estimates was higher than that for inbreeding. Estimates of effective population size obtained from genome-wide and pedigree information were consistent and ranged from about 66 to 79. These low values emphasize the need of controlling the rate of increase of coancestry and inbreeding in Holstein selection programmes.