First-principles study of the electronic and magnetic properties of defective carbon nanostructures

149 p.: graf.

Konexio konikodun hortzetako inplanteak: ateratze indarraren zehaztapena. Eredu analitikoa eta saiakuntza esperimentalak

[EU]Txosten honetan konexio konikodun hortzetako inplante baten eraginkortasuna aztertzen da. Zehatzagoak izanik, inplante bat ahotik kanporatu ahal izateko beharrezkoa den indarra aztertu egiten da, kontuan hartuz aldagai horren balioa ezagutzea ezinbestekoa dela pazientearen osasuna eta konforta ziurtatzeko. Proiektu honek zein eremutan garrantzia edukiko duen ikusteko, lehenik eta behin testuingurua deskribatuko da. Horren ondoren helburu nagusiak eta onura zientifiko-tekniko zein ekonomikoak adieraziko dira. Helburuak lortzeko posibleak diren bide desberdinak aztertuko dira, eta bakoitzaren abantailak eta desabantailak kontuan hartuz kasu honi hobeto egokitzen zaion alternatiba aukeratuko da. Jarraian, metodo horri dagokion azalpenari ekingo zaio, proiektuaren garapenean egindako lanak pausoz pauso deskribatuz. Proiektuaren hasieratik amaierara arte egindako lanen planifikazioa era argi batean adierazteko Gantt diagrama erabiliko da. Bertan hiru etapa nagusi ezberdindu daitezke: saiakuntzen aurre-diseinua, kanpaina esperimentala eta emaitzen interpretazioa. Azkenik, egindako saiakuntzen eta analisien emaitzak laburbilduko dira, horiek dakartzaten ondorioak azalduz. Puntu honekin hasiera batean planteatutako helburuei erantzun bat emango zaie, eta proiektu honen ondoren jarraitu ahal izango diren hurrengo pausoak aipatuko dira.

Ab initio study of anharmonicity in high pressure Cmca-4 metallic hydrogen

Hydrogen is the only atom for which the Schr odinger equation is solvable. Consisting only of a proton and an electron, hydrogen is the lightest element and, nevertheless, is far from being simple. Under ambient conditions, it forms diatomic molecules H2 in gas phase, but di erent temperature and pressures lead to a complex phase diagram, which is not completely known yet. Solid hydrogen was rst documented in 1899 [1] and was found to be isolating. At higher pressures, however, hydrogen can be metallized. In 1935 Wigner and Huntington predicted that the metallization pressure would be 25 GPa [2], where molecules would disociate to form a monoatomic metal, as alkali metals that lie below hydrogen in the periodic table. The prediction of the metallization pressure turned out to be wrong: metallic hydrogen has not been found yet, even under a pressure as high as 320 GPa. Nevertheless, extrapolations based on optical measurements suggest that a metallic phase may be attained at 450 GPa [3]. The interest of material scientist in metallic hydrogen can be attributed, at least to a great extent, to Ashcroft, who in 1968 suggested that such a system could be a hightemperature superconductor [4]. The temperature at which this material would exhibit a transition from a superconducting to a non-superconducting state (Tc) was estimated to be around room temperature. The implications of such a statement are very interesting in the eld of astrophysics: in planets that contain a big quantity of hydrogen and whose temperature is below Tc, superconducting hydrogen may be found, specially at the center, where the gravitational pressure is high. This might be the case of Jupiter, whose proportion of hydrogen is about 90%. There are also speculations suggesting that the high magnetic eld of Jupiter is due to persistent currents related to the superconducting phase [5]. Metallization and superconductivity of hydrogen has puzzled scientists for decades, and the community is trying to answer several questions. For instance, what is the structure of hydrogen at very high pressures? Or a more general one: what is the maximum Tc a phonon-mediated superconductor can have [6]? A great experimental e ort has been carried out pursuing metallic hydrogen and trying to answer the questions above; however, the characterization of solid phases of hydrogen is a hard task. Achieving the high pressures needed to get the sought phases requires advanced technologies. Diamond anvil cells (DAC) are commonly used devices. These devices consist of two diamonds with a tip of small area; for this reason, when a force is applied, the pressure exerted is very big. This pressure is uniaxial, but it can be turned into hydrostatic pressure using transmitting media. Nowadays, this method makes it possible to reach pressures higher than 300 GPa, but even at this pressure hydrogen does not show metallic properties. A recently developed technique that is an improvement of DAC can reach pressures as high as 600 GPa [7], so it is a promising step forward in high pressure physics. Another drawback is that the electronic density of the structures is so low that X-ray di raction patterns have low resolution. For these reasons, ab initio studies are an important source of knowledge in this eld, within their limitations. When treating hydrogen, there are many subtleties in the calculations: as the atoms are so light, the ions forming the crystalline lattice have signi cant displacements even when temperatures are very low, and even at T=0 K, due to Heisenberg's uncertainty principle. Thus, the energy corresponding to this zero-point (ZP) motion is signi cant and has to be included in an accurate determination of the most stable phase. This has been done including ZP vibrational energies within the harmonic approximation for a range of pressures and at T=0 K, giving rise to a series of structures that are stable in their respective pressure ranges [8]. Very recently, a treatment of the phases of hydrogen that includes anharmonicity in ZP energies has suggested that relative stability of the phases may change with respect to the calculations within the harmonic approximation [9]. Many of the proposed structures for solid hydrogen have been investigated. Particularly, the Cmca-4 structure, which was found to be the stable one from 385-490 GPa [8], is metallic. Calculations for this structure, within the harmonic approximation for the ionic motion, predict a Tc up to 242 K at 450 GPa [10]. Nonetheless, due to the big ionic displacements, the harmonic approximation may not su ce to describe correctly the system. The aim of this work is to apply a recently developed method to treat anharmonicity, the stochastic self-consistent harmonic approximation (SSCHA) [11], to Cmca-4 metallic hydrogen. This way, we will be able to study the e ects of anharmonicity in the phonon spectrum and to try to understand the changes it may provoque in the value of Tc. The work is structured as follows. First we present the theoretical basis of the calculations: Density Functional Theory (DFT) for the electronic calculations, phonons in the harmonic approximation and the SSCHA. Then we apply these methods to Cmca-4 hydrogen and we discuss the results obtained. In the last chapter we draw some conclusions and propose possible future work.

Stability analysis of RF amplifiers based on MIMO pole-zero identification

Spurious oscillations are one of the principal issues faced by microwave and RF circuit designers. The rigorous detection of instabilities or the characterization of measured spurious oscillations is still an ongoing challenge. This project aims to create a new stability analysis CAD program that tackles this chal- lenge. Multiple Input Multiple Output (MIMO) pole-zero identification analysis is introduced on the program as a way to create new methods to automate the stability analysis process and to help designers comprehend the obtained results and prevent incorrect interpretations. The MIMO nature of the analysis contributes to eliminate possible controllability and observability losses and helps differentiate mathematical and physical quasi-cancellations, products of overmodeling. The created program reads Single Input Single Output (SISO) or MIMO frequency response data, and determines the corresponding continuous transfer functions with Vector Fitting. Once the transfer function is calculated, the corresponding pole/zero diagram is mapped enabling the designers to analyze the stability of an amplifier. Three data processing methods are introduced, two of which consist of pole/zero elimina- tions and the latter one on determining the critical nodes of an amplifier. The first pole/zero elimination method is based on eliminating non resonant poles, whilst the second method eliminates the poles with small residue by assuming that their effect on the dynamics of a system is small or non-existent. The critical node detection is also based on the residues; the node at which the effect of a pole on the dynamics is highest is defined as the critical node. In order to evaluate and check the efficiency of the created program, it is compared via examples with another existing commercial stability analysis tool (STAN tool). In this report, the newly created tool is proved to be as rigorous as STAN for detecting instabilities. Additionally, it is determined that the MIMO analysis is a very profitable addition to stability analysis, since it helps to eliminate possible problems of loss of controllability, observability and overmodeling.

Interacción y programación de trayectorias de robot industrial tipo SCARA.

[ES]En el desarrollo de este Trabajo de Fin De Grado (TFG) en el curso 2014-2015 se ha trabajado con un robot de tipo SCARA, muy utilizado en la industria. El objetivo era analizar su cinemática y programar trayectorias que el robot pudiera realizar. En primer lugar se ha llevado a cabo un estudio del Estado del Arte, en el que se describe la robótica industrial y su desarrollo histórico hasta nuestros días, desarrollo que presenta un futuro prometedor. Además, se han descrito las particularidades que atañen al SCARA: sus características, su relevancia y su historia. En cuanto al robot, previamente se ha realizado un análisis cinemático del SCARA. Mediante métodos matriciales se han resuelto los problemas de posiciones y velocidades, para luego programarlas en MATLAB. Una vez comprendida su cinemática, se ha interactuado con él en el taller para poder entender su funcionamiento, sus componentes y su control. Después, con los conocimientos que se han adquirido, se han programado varias trayectorias usando el lenguaje del robot, el lenguaje V+, para finalmente ejecutar esos movimientos. El Trabajo se completa con la descripción de las tareas mediante un diagrama de Gantt, el presupuesto, la declaración de gastos y el análisis de riesgos.

Simulación por elementos finitos del conformado de una pieza para carrocería de un automóvil.

[ES]El presente proyecto tiene como objetivo optimizar los parámetros de conformado a partir de la geometría de los troqueles de una pieza de un automóvil, con el fin de asegurar los parámetros de calidad que se exigen a este tipo de procesos se cumplan. Para ello, se dispone de un programa de simulación en elementos finitos cuyo nombre es Pam-Stamp 2G, en el cual se va a llevar a cabo el diseño. Además, se dispone de la matriz de la pieza requerida para una mayor facilidad de resolución. El proyecto constará de una descripción detallada del proceso de diseño del conformado durante todo el curso académico, complementado con un diagrama Gantt, así como las decisiones adoptadas durante el trabajo para lograr un desarrollo óptimo del mismo. Por último, contendrá también un presupuesto en el que se detallará los gastos que ha supuesto el desarrollo completo del trabajo.

Diseño del blindaje de una sala de radiografía.

[ES]Este trabajo trata sobre el diseño del blindaje de una sala de rayos X. Concretamente se ha centrado en el procedimiento para diseñar el blindaje de una sala de radiografías del tórax. Para ello, se ha tomado como punto de partida una posible sala de radiografía de un centro sanitario y se le han aplicado a este caso las pautas que se deben seguir a la hora de hacer estos cálculos con el objetivo de reducir las dosis de radiación recibidas por el personal de operación y asegurar el bienestar del paciente y de los trabajadores Primero y todo para situar en el tema expuesto se ha descrito el contexto, donde se hace un breve resumen del desarrollo que han tenido los rayos X en el ámbito de la medicina. A continuación en el apartado de alcance se han explicado los campos que se van a abarcar en este proyecto. Por último y para acabar la introducción se han escrito lo beneficios del proyecto y su importancia. Para empezar el proyecto se ha presentado la sala de radiografía torácica tomada como ejemplo y se le han hecho los cálculos pertinentes a sus paredes, puertas y ventanas. A continuación se ha expuesto el aspecto económico y de la distribución y para ello se ha realizado un presupuesto y el diagrama de Gantt. Por último se han escrito unas conclusiones generales sobre todo el proyecto.

Plastic Analysis and Testing of multidirectional SFRC flag slabs

This paper presents a theoretical and experimental study of multidirectional steel fibers reinforced concrete slabs (SFRC). The study is based on a real building application using SFRC flag slabs. For the evaluation of the slabs bearing capacity, plastic calculations are performed both at section and structure levels. The section analysis uses the perfect plastic stress-strain diagram, with reference to the values of the strength characteristics of SFRC based on previous jobs that used similar fibers and dosages. In the structure analysis the plastic yield lines method has been used. This method relates the section last bearing moment and the plastic collapse load. The experimental campaign has consisted of the testing of six 2 m. diameter circular shaped slabs prototypes, and has allowed to verify the reference resistance used in the calculations.

Geochemical characterization of the fire-fountain fed deposits of Las Herrerias volcano (Campo de Calatrava Volcanic Field, Ciudad Real)

The Las Herrerias volcano (Bolanos de Calatrava, Campo de Calatrava Volcanic Field) is characterized by the great amount and variety of fire-fountain fed deposits. All these deposits are compositionally similar, being constituted by magnesium-rich (MgO = 11.58-4.19%), aluminium-poor (Al2O3 = 9.64-10.99%) highly sodic (Na2O = 2.24-3.81%) melanephelinites, with high contents in rare earth-elements (10x-200x chondrite), particularly in light-rare earth elements with respect to the heavy ones [(La/Lu)(N) = 32-35]. Contrary to the equivalent melanephelinites of this volcanic field, the relatively low contents in Ni (233-286 ppm), Cr (393-520 ppm) and magnesium number (Mg* = 45-54) indicate that these rocks do not correspond with primary melts. On the other hand, the variable distribution of clinopyroxene in the magma during eruption would be responsible for the slight compositional differences observed in the studied samples. Finally, we argue that these fire fountains were developed in a continental intraplate setting.

Robust Sliding Control of SEIR Epidemic Models

This paper is aimed at designing a robust vaccination strategy capable of eradicating an infectious disease from a population regardless of the potential uncertainty in the parameters defining the disease. For this purpose, a control theoretic approach based on a sliding-mode control law is used. Initially, the controller is designed assuming certain knowledge of an upper-bound of the uncertainty signal. Afterwards, this condition is removed while an adaptive sliding control system is designed. The closed-loop properties are proved mathematically in the nonadaptive and adaptive cases. Furthermore, the usual sign function appearing in the sliding-mode control is substituted by the saturation function in order to prevent chattering. In addition, the properties achieved by the closed-loop system under this variation are also stated and proved analytically. The closed-loop system is able to attain the control objective regardless of the parametric uncertainties of the model and the lack of a priori knowledge on the system.

Stability analysis and observer design for discrete-time SEIR epidemic models

This paper applies Micken's discretization method to obtain a discrete-time SEIR epidemic model. The positivity of the model along with the existence and stability of equilibrium points is discussed for the discrete-time case. Afterwards, the design of a state observer for this discrete-time SEIR epidemic model is tackled. The analysis of the model along with the observer design is faced in an implicit way instead of obtaining first an explicit formulation of the system which is the novelty of the presented approach. Moreover, some sufficient conditions to ensure the asymptotic stability of the observer are provided in terms of a matrix inequality that can be cast in the form of a LMI. The feasibility of the matrix inequality is proved, while some simulation examples show the operation and usefulness of the observer.

On the Stability and Equilibrium Points of Multistaged SI (n) R Epidemic Models

This paper relies on the concept of next generation matrix defined ad hoc for a new proposed extended SEIR model referred to as SI(n)R-model to study its stability. The model includes n successive stages of infectious subpopulations, each one acting at the exposed subpopulation of the next infectious stage in a cascade global disposal where each infectious population acts as the exposed subpopulation of the next infectious stage. The model also has internal delays which characterize the time intervals of the coupling of the susceptible dynamics with the infectious populations of the various cascade infectious stages. Since the susceptible subpopulation is common, and then unique, to all the infectious stages, its coupled dynamic action on each of those stages is modeled with an increasing delay as the infectious stage index increases from 1 to n. The physical interpretation of the model is that the dynamics of the disease exhibits different stages in which the infectivity and the mortality rates vary as the individual numbers go through the process of recovery, each stage with a characteristic average time.