Forced response of Bladed Disks with Damping Mistuning

The effect of mistuning on the vibration of bladed disks has been extensively studied in the past 30 years. Most of these analysis typically cover the case of small variations of the elastic characteristics (mass and stiffness) of the blades. In this work we study the not so common case of the forced response of a stable rotor with damping mistuning. The Asymptotic Mistuning Model (AMM) is used to analyze this problem. The AMM methodology provides a simplified model that describes the effect of blade to blade damping variation, and gives precise information on the underlying mechanisms involved in the action of damping mistuning.

La geoquímica de los sedimentos de llanuras de inundación como guía para la valoración ambiental en España

En la presente tesis se estudian los contenidos geoquímicos de los sedimentos de llanura de inundación en diversas cuencas fluviales seleccionadas con el objetivo de contribuir a un mejor conocimiento de sus condiciones medioambientales. En cada cuenca, se ha muestreado un perfil vertical de llanura de inundación, dividiéndolo en tramos que generalmente corresponden a diferentes episodios de inundación. Estos sedimentos se depositan durante los episodios de crecidas una vez que la corriente sobrepasa los límites del canal. Se caracterizan normalmente por tener un tamaño de grano fino y una estructura en capas horizontales que corresponden a los sucesivos episodios de inundación. Muestran dos ventajas principales con respecto a otros medios de muestreo en geoquímica como suelos o sedimentos de corriente: • Pueden almacenar sedimento antiguo así como actual, con lo que se puede estudiar la historia geoquímica de una zona específica en un mismo punto de muestreo (perfil vertical). • Los sedimentos de llanuras de inundación son capaces de caracterizar grandes áreas de drenaje. El origen de los sedimentos es más diverso que en el sedimento de corriente, debido a las mayores áreas de donde proceden las aguas de las avenidas. Las cuencas han sido seleccionadas según las actividades antropogénicas que en ellas se llevan a cabo, en concreto, actividades urbanas e industriales, minería y agricultura. Así mismo, se han estudiado, como referencia, dos cuencas donde no se espera encontrar ningún tipo de actividad contaminante. Una vez hecha la selección, los sedimentos aluviales de las cuencas se han estudiado cuidadosamente para asegurar que no existen depósitos de acreción lateral en el punto seleccionado. Posteriormente se ha procedido al muestreo del perfil vertical. Las muestras han sido analizadas mediante ICP-MS (ataque total) e INAA para conocer los contenidos totales de los elementos traza y mayoritarios. Los análisis de la fracción extraíble se han llevado a cabo mediante ICP-MS (ataque con agua regia). Así mismo, algunas muestras seleccionadas han sido sometidas a una extracción secuencial para un estudio más detallado. La presencia de materia orgánica ha sido estimada mediante el análisis de Carbono Orgánico Total (TOC). Finalmente, se ha llevado a cabo un análisis de isótopos de Pb en muestras escogidas en los perfiles, con el objetivo de hacer una evaluación ambiental. Los contenidos metálicos aumentan hacia la superficie en algunos de los perfiles, mientras en otros muestran una distribución muy constante exceptuando algún nivel específico con un aumento de los contenidos de la mayoría de los metales. Ha sido posible determinar la influencia de las actividades antropogénicas en algunos de los perfiles. Aquellos que pertenecen a cuencas mineras, urbanas o industrializadas muestran generalmente altos contenidos en elementos metálicos. Es el caso de los perfiles muestreados en los ríos Odiel y Tinto, Besaya, Besós y Manzanares. Algunos de estos perfiles pueden incluso correlacionarse con periodos de tiempo en los que ha tenido lugar una actividad antropogénica más intensa. Los perfiles que mejor se correlacionan con la actividad antropogénica de la cuenca son el perfil de Rivas en el río Manzanares (Madrid), que refleja un crecimiento de la contaminación producida por las actividades urbana e industrial en las últimas décadas, y el río Tinto, que muestra un crecimiento llamativo de los contenidos en su mayoría metálicos que puede estar relacionado con el incremento de la actividad minera que tuvo lugar hace aproximadamente 125 años. El análisis de los isótopos de Pb ha resultado ser una herramienta útil en la evaluación ambiental de estos sedimentos. Con este estudio y mediante la comparación con fuentes naturales y antropogénicas, ha sido posible diferenciar las muestras afectadas por diferentes fuentes de plomo, así como detectar las más afectadas antropogénicamente. ABSTRACT The geochemical composition of overbank sediments of some selected river basins is studied in this thesis in order to contribute to a better knowledge of the environmental conditions surrounding them. In each basin a vertical overbank profile has been sampled, dividing it into stretches that usually correspond to different flood events. The overbank sediments are those deposited during a flood event once the flow spills over the channel banks. They are usually characterized by a very fine grain size and a structure of horizontal layers, which correspond to successive flood events. These sediments show two main advantages regarding other sampling media in geochemistry, like soils or stream sediments: • They can store sediment deposited in the past as well as in current times, so that the history of a specific location can be studied at the very same point (vertical profile). • The overbank sediments are able to characterize a large drainage area. The origin of the sediment is wider than in the stream sediments due to the larger areas where the flood water comes from. The basins have been selected depending on the anthropogenic activities developed in them, namely, urban and industrial activities, mining activities and agricultural activities. As well, two pristine basins have been studied as a reference. Afterwards, the alluvial sediments in the basins have been carefully studied in order to sample a vertical profile and make sure that lateral accretion materials are not present in the profile. The samples have been analysed by ICP-MS (total digestion) and INAA to know the total contents of trace and major elements. Analysis of the mobile fraction has been carried out by ICP-MS (aqua regia); as well some of the samples have been subjected to sequential extraction for a more detailed study. The presence of organic matter has been estimated by the analysis of the Total Organic Carbon (TOC). Finally, a lead isotope analysis of some of the samples in the profiles was carried out in order to make an environmental assessment. Metal contents grow towards the surface in some of the profiles, while others show a very steady distribution, except for some of them with a growth of most of the metals in a specific level. XI It has been possible to determine the influence of the anthropogenic activities in some of the profiles. The ones that belong to mining and urban or industrialized basins show generally high contents of metal elements. This is the case of the profiles sampled in the Odiel and Tinto Rivers, the Besaya River, the Besós River and the Manzanares River. Some of these profiles can even correlate with the periods of time when a more intense activity in their respective basins has taken place. The profiles which best correlate with the anthropogenic activity are the Rivas profile in the Manzanares River, which reflects a growth of the pollution produced by urban and industrial activities in the city of Madrid in the last decades and the Tinto profile, which shows a very dramatic growth of the elemental contents (mostly metals) which can be related to the increase of the mining activities that took place in the last 125 years. The analysis of lead isotopes has turned out to be a powerful tool in the environmental assessment in this type of sediments. With this study and through the comparison with natural and anthropogenic sources, it has been possible to determine samples affected by different sources of lead and to detect the most anthropogenicaly affected ones.

Selective area growth and characterization of InGaN nano-disks implemented in GaN nanocolumns with different top morphologies

This work reports on the morphology control of the selective area growth of GaN-based nanostructures on c-plane GaN templates. By decreasing the substrate temperature, the nanostructures morphology changes from pyramidal islands (no vertical m-planes), to GaN nanocolumns with top semipolar r-planes, and further to GaN nanocolumns with top polar c-planes. When growing InGaN nano-disks embedded into the GaN nanocolumns, the different morphologies mentioned lead to different optical properties, due to the semi-polar and polar nature of the r-planes and c-planes involved. These differences are assessed by photoluminescence measurements at low temperature and correlated to the specific nano-disk geometry.

Stability of slender, axisymmetric liquid bridges between unequal disks

The stability of slender, axisymmetric liquid bridges held by surface tension forces between two coaxial, parallel solid disks having different radii is studied by using standard perturbation techniques. The results obtained show that the behaviour of such configurations becomes similar to that of liquid bridges between equal disks when subject to small axial gravity forces.

The dynamics of axisymmetric slender liquid bridges between unequal disks

n this paper the influence of an axial microgravity on the dynamic stability of axisymmetric slender liquid bridges between unequal disks is numerically studied by using a one-dimensional theory. The breaking of such liquid configurations is analyzed and the dependence of some overall characteristics of the breaking process on the value of axial microgravity, the geometry and the volume of the liquid bridge, as well as stability limits are obtained.

Magnetization reversal assisted by half antivortex states in nanostructured circular cobalt disks

The half antivortex, a fundamental topological structure which determines magnetization reversal of submicron magnetic devices with domain walls, has been suggested also to play a crucial role in spin torque induced vortex core reversal in circular disks. Here, we report on magnetization reversal in circular disks with nanoholes through consecutive metastable states with half antivortices. In-plane anisotropic magnetoresistance and broadband susceptibility measurements accompanied by micromagnetic simulations reveal that cobalt (Co) disks with two and three linearly arranged nanoholes directed at 45° and 135° with respect to the external magnetic field show reproducible step-like changes in the anisotropic magnetoresistance and magnetic permeability due to transitions between different intermediate states mediated by vortices and half antivortices confined to the dot nanoholes and edges, respectively. Our findings are relevant for the development of multi-hole based spintronic and magnetic memory devices.

Stability limits of minimum volume and breaking axisymmetric liquid bridges between unequal disks

This paper deals with the stability limits of minimum volume and the breaking of axisymmetric liquid columns held by capillary forces between two concentric,circular solid disk of different radii. The problem has been analyzed both theoreti-cally and experimentally. A theoretical analysis concerning the breaking of liquid bridges has been performed by using a one-dimensional slice model already used in liquid bridge problems. Experiments have been carried out by using milli-metric liquid bridges, and minimum volume stability limits as well as the volumes of the drops resulting after breaking have been measured for a large number of liquid bridge configurations. Experimental results being in agreement with theoretical prediction.

An experimental analysis od the stability and the dynamics of asixymmetric liquid bridges between unequal disks

In this paper experimental results related to both stability an the dynamic of a asiximmetric liquid bridge between unequal disk are presented. Experiments have been performed by using a drop tower facility and the response of the liquid bridge to a sudden change of the acceleration level acting on it has bee obtained.

Forced Response of Mistuned Bladed Disks: Quantitative Validation of the Asymptotic Description

The effect of small mistuning in the forced response of a bladed disk is analyzed using a recently introduced methodology: the asymptotic mistuning model. The asymptotic mistuning model is an extremely reduced, simplified model that is derived directly from the full formulation of the mistuned bladed disk using a consistent perturbative procedure based on the relative smallness of the mistuning distortion. A detailed description of the derivation of the asymptotic mistuning model for a realistic bladed disk configuration is presented. The asymptotic mistuning model results for several different mistuning patterns and forcing conditions are compared with those from a high-resolution finite element model. The asymptotic mistuning model produces quantitatively accurate results, and, probably more relevant, it gives precise information about the factors (tuned modes and components of the mistuning pattern) that actually play a role in the vibrational forced response of mistuned bladed disks.

Asymptotic and computational analysis of mistuning effects on the dynamics of bladed disks

Es bien conocido que las pequeñas imperfecciones existentes en los álabes de un rótor de turbomaquinaria (conocidas como “mistuning”) pueden causar un aumento considerable de la amplitud de vibración de la respuesta forzada y, por el contrario, tienen típicamente un efecto beneficioso en el flameo del rótor. Para entender estos efectos se pueden llevar a cabo estudios numéricos del problema aeroelástico completo. Sin embargo, el cálculo de “mistuning” usando modelos de alta resolución es una tarea difícil de realizar, ya que los modelos necesarios para describir de manera precisa el componente de turbomáquina (por ejemplo rotor) tienen, necesariamente, un número muy elevado de grados de libertad, y, además, es necesario hacer un estudio estadístico para poder explorar apropiadamente las distribuciones posibles de “mistuning”, que tienen una naturaleza aleatoria. Diferentes modelos de orden reducido han sido desarrollados en los últimos años para superar este inconveniente. Uno de estos modelos, llamado “Asymptotic Mistuning Model (AMM)”, se deriva de la formulación completa usando técnicas de perturbaciones que se basan en que el “mistuning” es pequeño. El AMM retiene sólo los modos relevantes para describir el efecto del mistuning, y permite identificar los mecanismos clave involucrados en la amplificación de la respuesta forzada y en la estabilización del flameo. En este trabajo, el AMM se usa para estudiar el efecto del “mistuning” de la estructura y de la amortiguación sobre la amplitud de la respuesta forzada. Los resultados obtenidos son validados usando modelos simplificados del rotor y también otros de alta definición. Además, en el marco del proyecto europeo FP7 "Flutter-Free Turbomachinery Blades (FUTURE)", el AMM se aplica para diseñar distribuciones de “mistuning” intencional: (i) una que anula y (ii) otra que reduce a la mitad la amplitud del flameo de un rotor inestable; y las distribuciones obtenidas se validan experimentalmente. Por último, la capacidad de AMM para predecir el comportamiento de flameo de rotores con “mistuning” se comprueba usando resultados de CFD detallados. Abstract It is well known that the small imperfections of the individual blades in a turbomachinery rotor (known as “mistuning”) can cause a substantial increase of the forced response vibration amplitude, and it also typically results in an improvement of the flutter vibration characteristics of the rotor. The understanding of these phenomena can be attempted just by performing numerical simulations of the complete aeroelastic problem. However, the computation of mistuning cases using high fidelity models is a formidable task, because a detailed model of the whole rotor has to be considered, and a statistical study has to be carried out in order to properly explore the effect of the random mistuning distributions. Many reduced order models have been developed in recent years to overcome this barrier. One of these models, called the Asymptotic Mistuning Model (AMM), is systematically derived from the complete bladed disk formulation using a consistent perturbative procedure that exploits the smallness of mistuning to simplify the problem. The AMM retains only the essential system modes that are involved in the mistuning effect, and it allows to identify the key mechanisms of the amplification of the forced response amplitude and the flutter stabilization. In this work, AMM methodolgy is used to study the effect of structural and damping mistuning on the forced response vibration amplitude. The obtained results are verified using a one degree of freedom model of a rotor, and also high fidelity models of the complete rotor. The AMM is also applied, in the frame of the European FP7 project “Flutter-Free Turbomachinery Blades (FUTURE)”, to design two intentional mistuning patterns: (i) one to complete stabilize an unstable rotor, and (ii) other to approximately reduce by half its flutter amplitude. The designed patterns are validated experimentally. Finally, the ability of AMM to predict the flutter behavior of mistuned rotors is checked against numerical, high fidelity CFD results.

Minimum volume for a liquid bridge between equal disks

The lower stability limit for axisymmetric floating zones at rest between equal coaxial disks has been experimentally verified for several disk-separation/disk-diameter ratios by using the neutral buoyancy technique. Results show a close agre ment with theory in the case of bridge disruption and a wide scatter in the case of bridge etachment.

Minimum volume of long liquid bridges between noncoaxial, nonequal diameter circular disks under lateral acceleration

The stability limit of minimum volume and the breaking dynamics of liquid bridges between nonequal, noncoaxial, circular supporting disks subject to a lateral acceleration were experimentally analyzed by working with liquid bridges of very small dimensions. Experimental results are compared with asymptotic theoretical predictions, with the agreement between experimental results and asymptotic ones being satisfactory