State space models for multi-setup operational modal analysis

Operational Modal Analysis consists on estimate the modal parameters of a structure (natural frequencies, damping ratios and modal vectors) from output-only vibration measurements. The modal vectors can be only estimated where a sensor is placed, so when the number of available sensors is lower than the number of tested points, it is usual to perform several tests changing the position of the sensors from one test to the following (multiple setups of sensors): some sensors stay at the same position from setup to setup, and the other sensors change the position until all the tested points are covered. The permanent sensors are then used to merge the mode shape estimated at each setup (or partial modal vectors) into global modal vectors. Traditionally, the partial modal vectors are estimated independently setup by setup, and the global modal vectors are obtained in a postprocess phase. In this work we present two state space models that can be used to process all the recorded setups at the same time, and we also present how these models can be estimated using the maximum likelihood method. The result is that the global mode shape of each mode is obtained automatically, and subsequently, a single value for the natural frequency and damping ratio of the mode is computed. Finally, both models are compared using real measured data.

Damage Assessment of Structures with Uncertainty

Evolutionary algorithms are suitable to solve damage identification problems in a multiobjective context. However, the performance of these methods can deteriorate quickly with increasing noise intensities originating numerous uncertainties. In this work, a statistic structural damage detection method formulated in a multiobjective context is proposed, taking into account the uncertainties existing. The presented method is verified by a number of simulated damage scenarios. The effects of noise on damage detection are investigated.

A gradient-enhanced continuum damage model with application to fibre-reinforced tissues at finite strains

A non-local gradient-based damage formulation within a geometrically non-linear set- ting is presented. The hyperelastic constitutive response at local material point level is governed by a strain energy function which is additively composed by an isotropic neo-Hookean matrix and by an anisotropic fibre-reinforced material based on the model proposed by T. Gasser, R. Ogden, and G. Holzapfel.

Análisis Integrado de Seguridad de un accidente de SGTR en un reactor nuclear tipo PWR

El accidente de rotura de tubos de un generador de vapor (Steam Generator Tube Rupture, SGTR) en los reactores de agua a presión es uno de los transitorios más exigentes desde el punto de vista de operación. Los transitorios de SGTR son especiales, ya que podría dar lugar a emisiones radiológicas al exterior sin necesidad de daño en el núcleo previo o sin que falle la contención, ya que los SG pueden constituir una vía directa desde el reactor al medio ambiente en este transitorio. En los análisis de seguridad, el SGTR se analiza desde un punto determinista y probabilista, con distintos enfoques con respecto a las acciones del operador y las consecuencias analizadas. Cuando comenzaron los Análisis Deterministas de Seguridad (DSA), la forma de analizar el SGTR fue sin dar crédito a la acción del operador durante los primeros 30 min del transitorio, lo que suponía que el grupo de operación era capaz de detener la fuga por el tubo roto dentro de ese tiempo. Sin embargo, los diferentes casos reales de accidentes de SGTR sucedidos en los EE.UU. y alrededor del mundo demostraron que los operadores pueden emplear más de 30 minutos para detener la fuga en la vida real. Algunas metodologías fueron desarrolladas en los EEUU y en Europa para abordar esa cuestión. En el Análisis Probabilista de Seguridad (PSA), las acciones del operador se tienen en cuenta para diseñar los cabeceros en el árbol de sucesos. Los tiempos disponibles se utilizan para establecer los criterios de éxito para dichos cabeceros. Sin embargo, en una secuencia dinámica como el SGTR, las acciones de un operador son muy dependientes del tiempo disponible por las acciones humanas anteriores. Además, algunas de las secuencias de SGTR puede conducir a la liberación de actividad radiológica al exterior sin daño previo en el núcleo y que no se tienen en cuenta en el APS, ya que desde el punto de vista de la integridad de núcleo son de éxito. Para ello, para analizar todos estos factores, la forma adecuada de analizar este tipo de secuencias pueden ser a través de una metodología que contemple Árboles de Sucesos Dinámicos (Dynamic Event Trees, DET). En esta Tesis Doctoral se compara el impacto en la evolución temporal y la dosis al exterior de la hipótesis más relevantes encontradas en los Análisis Deterministas a nivel mundial. La comparación se realiza con un modelo PWR Westinghouse de tres lazos (CN Almaraz) con el código termohidráulico TRACE, con hipótesis de estimación óptima, pero con hipótesis deterministas como criterio de fallo único o pérdida de energía eléctrica exterior. Las dosis al exterior se calculan con RADTRAD, ya que es uno de los códigos utilizados normalmente para los cálculos de dosis del SGTR. El comportamiento del reactor y las dosis al exterior son muy diversas, según las diferentes hipótesis en cada metodología. Por otra parte, los resultados están bastante lejos de los límites de regulación, pese a los conservadurismos introducidos. En el siguiente paso de la Tesis Doctoral, se ha realizado un análisis de seguridad integrado del SGTR según la metodología ISA, desarrollada por el Consejo de Seguridad Nuclear español (CSN). Para ello, se ha realizado un análisis termo-hidráulico con un modelo de PWR Westinghouse de 3 lazos con el código MAAP. La metodología ISA permite la obtención del árbol de eventos dinámico del SGTR, teniendo en cuenta las incertidumbres en los tiempos de actuación del operador. Las simulaciones se realizaron con SCAIS (sistema de simulación de códigos para la evaluación de la seguridad integrada), que incluye un acoplamiento dinámico con MAAP. Las dosis al exterior se calcularon también con RADTRAD. En los resultados, se han tenido en cuenta, por primera vez en la literatura, las consecuencias de las secuencias en términos no sólo de daños en el núcleo sino de dosis al exterior. Esta tesis doctoral demuestra la necesidad de analizar todas las consecuencias que contribuyen al riesgo en un accidente como el SGTR. Para ello se ha hecho uso de una metodología integrada como ISA-CSN. Con este enfoque, la visión del DSA del SGTR (consecuencias radiológicas) se une con la visión del PSA del SGTR (consecuencias de daño al núcleo) para evaluar el riesgo total del accidente. Abstract Steam Generator Tube Rupture accidents in Pressurized Water Reactors are known to be one of the most demanding transients for the operating crew. SGTR are special transient as they could lead to radiological releases without core damage or containment failure, as they can constitute a direct path to the environment. The SGTR is analyzed from a Deterministic and Probabilistic point of view in the Safety Analysis, although the assumptions of the different approaches regarding the operator actions are quite different. In the beginning of Deterministic Safety Analysis, the way of analyzing the SGTR was not crediting the operator action for the first 30 min of the transient, assuming that the operating crew was able to stop the primary to secondary leakage within that time. However, the different real SGTR accident cases happened in the USA and over the world demonstrated that operators can took more than 30 min to stop the leakage in actual sequences. Some methodologies were raised in the USA and in Europe to cover that issue. In the Probabilistic Safety Analysis, the operator actions are taken into account to set the headers in the event tree. The available times are used to establish the success criteria for the headers. However, in such a dynamic sequence as SGTR, the operator actions are very dependent on the time available left by the other human actions. Moreover, some of the SGTR sequences can lead to offsite doses without previous core damage and they are not taken into account in PSA as from the point of view of core integrity are successful. Therefore, to analyze all this factors, the appropriate way of analyzing that kind of sequences could be through a Dynamic Event Tree methodology. This Thesis compares the impact on transient evolution and the offsite dose of the most relevant hypothesis of the different SGTR analysis included in the Deterministic Safety Analysis. The comparison is done with a PWR Westinghouse three loop model in TRACE code (Almaraz NPP), with best estimate assumptions but including deterministic hypothesis such as single failure criteria or loss of offsite power. The offsite doses are calculated with RADTRAD code, as it is one of the codes normally used for SGTR offsite dose calculations. The behaviour of the reactor and the offsite doses are quite diverse depending on the different assumptions made in each methodology. On the other hand, although the high conservatism, such as the single failure criteria, the results are quite far from the regulatory limits. In the next stage of the Thesis, the Integrated Safety Assessment (ISA) methodology, developed by the Spanish Nuclear Safety Council (CSN), has been applied to a thermohydraulical analysis of a Westinghouse 3-loop PWR plant with the MAAP code. The ISA methodology allows obtaining the SGTR Dynamic Event Tree taking into account the uncertainties on the operator actuation times. Simulations are performed with SCAIS (Simulation Code system for Integrated Safety Assessment), which includes a dynamic coupling with MAAP thermal hydraulic code. The offsite doses are calculated also with RADTRAD. The results shows the consequences of the sequences in terms not only of core damage but of offsite doses. This Thesis shows the need of analyzing all the consequences in an accident such as SGTR. For that, an it has been used an integral methodology like ISA-CSN. With this approach, the DSA vision of the SGTR (radiological consequences) is joined with the PSA vision of the SGTR (core damage consequences) to measure the total risk of the accident.

Simulation of AC, DC, and AC-DC coupled mini-grids. In search of the most efficient system

Renewable energy hybrid systems and mini-grids for electrification of rural areas are known to be reliable and more cost efficient than grid extension or only-diesel based systems. However, there is still some uncertainty in some areas, for example, which is the most efficient way of coupling hybrid systems: AC, DC or AC-DC? With the use of Matlab/Simulink a mini-grid that connects a school, a small hospital and an ecotourism hostel has been modelled. This same mini grid has been coupled in the different possible ways and the system’s efficiency has been studied. In addition, while keeping the consumption constant, the generation sources and the consumption profile have been modified and the effect on the efficiency under each configuration has also been analysed. Finally different weather profiles have been introduced and, again, the effect on the efficiency of each system has been observed.

A computational model coupling mechanics and electrophysiology in spinal cord injury

Traumatic brain injury and spinal cord injury have recently been put under the spotlight as major causes of death and disability in the developed world. Despite the important ongoing experimental and modeling campaigns aimed at understanding the mechanics of tissue and cell damage typically observed in such events, the differenti- ated roles of strain, stress and their corresponding loading rates on the damage level itself remain unclear. More specif- ically, the direct relations between brain and spinal cord tis- sue or cell damage, and electrophysiological functions are still to be unraveled. Whereas mechanical modeling efforts are focusing mainly on stress distribution and mechanistic- based damage criteria, simulated function-based damage cri- teria are still missing. Here, we propose a new multiscale model of myelinated axon associating electrophysiological impairment to structural damage as a function of strain and strain rate. This multiscale approach provides a new framework for damage evaluation directly relating neuron mechanics and electrophysiological properties, thus provid- ing a link between mechanical trauma and subsequent func- tional deficits.

A computational model coupling mechanics and electrophysiology in spinal cord injury

Traumatic brain injury and spinal cord injury have recently been put under the spotlight as major causes of death and disability in the developed world. Despite the important ongoing experimental and modeling campaigns aimed at understanding the mechanics of tissue and cell damage typically observed in such events, the differentiated roles of strain, stress and their corresponding loading rates on the damage level itself remain unclear. More specifically, the direct relations between brain and spinal cord tissue or cell damage, and electrophysiological functions are still to be unraveled. Whereas mechanical modeling efforts are focusing mainly on stress distribution and mechanistic-based damage criteria, simulated function-based damage criteria are still missing. Here, we propose a new multiscale model of myelinated axon associating electrophysiological impairment to structural damage as a function of strain and strain rate. This multiscale approach provides a new framework for damage evaluation directly relating neuron mechanics and electrophysiological properties, thus providing a link between mechanical trauma and subsequent functional deficits

Health monitoring of a new hysteretic damper subjected to earthquakes on a shaking table

This paper presents the experimental results obtained by applying frequency-domain structural health monitoring techniques to assess the damage suffered on a special type of damper called Web Plastifying Damper (WPD). The WPD is a hysteretic type energy dissipator recently developed for the passive control of structures subjected to earthquakes. It consists of several I-section steel segments connected in parallel. The energy is dissipated through plastic deformations of the web of the I-sections, which constitute the dissipative parts of the damper. WPDs were subjected to successive histories of dynamically-imposed cyclic deformations of increasing magnitude with the shaking table of the University of Granada. To assess the damage to the web of the I-section steel segments after each history of loading, a new damage index called Area Index of Damage (AID) was obtained from simple vibration tests. The vibration signals were acquired by means of piezoelectric sensors attached on the I-sections, and non-parametric statistical methods were applied to calculate AID in terms of changes in frequency response functions. The damage index AID was correlated with another energy-based damage index-ID- which past research has proven to accurately characterize the level of mechanical damage. The ID is rooted in the decomposition of the load-displacement curve experienced by the damper into the so-called skeleton and Bauschinger parts. ID predicts the level of damage and the proximity to failure of the damper accurately, but it requires costly instrumentation. The experiments reported in this paper demonstrate a good correlation between AID and ID in a realistic seismic loading scenario consisting of dynamically applied arbitrary cyclic loads. Based on this correlation, it is possible to estimate ID indirectly from the AID, which calls for much simpler and less expensive instrumentation.

Identification of intermediate debonding damage in FRP-plated RC beams based on multi-objective particle swarm optimization without updated baseline model

Fiber reinforced polymer composites (FRP) have found widespread usage in the repair and strengthening of concrete structures. FRP composites exhibit high strength-to-weight ratio, corrosion resistance, and are convenient to use in repair applications. Externally bonded FRP flexural strengthening of concrete beams is the most extended application of this technique. A common cause of failure in such members is associated with intermediate crack-induced debonding (IC debonding) of the FRP substrate from the concrete in an abrupt manner. Continuous monitoring of the concrete?FRP interface is essential to pre- vent IC debonding. Objective condition assessment and performance evaluation are challenging activities since they require some type of monitoring to track the response over a period of time. In this paper, a multi-objective model updating method integrated in the context of structural health monitoring is demonstrated as promising technology for the safety and reliability of this kind of strengthening technique. The proposed method, solved by a multi-objective extension of the particle swarm optimization method, is based on strain measurements under controlled loading. The use of permanently installed fiber Bragg grating (FBG) sensors embedded into the FRP-concrete interface or bonded onto the FRP strip together with the proposed methodology results in an automated method able to operate in an unsupervised mode.

Effectiveness of AFLPs and retrotransposon-based markers for the identification of portuguese grapevine cultivars and clones

Grapevine germplasm, including 38 of the main Portuguese cultivars and three foreign cultivars, Pinot Noir, Pinot Blanc and Chasselas, used as a reference, and 37 true-to-type clones from the Alvarinho, Arinto, Loureiro, Moscatel Galego Branco, Trajadura and Vinhão cultivars were studied using AFLP and three retrotransposon-based molecular techniques, IRAP, REMAP and SSAP. To study the retrotransposon-based polymorphisms, 18 primers based on the LTR sequences of Tvv1, Gret1 and Vine-1 were used. In the analysis of 41 cultivars, 517 IRAP, REMAP, AFLP and SSAP fragments were obtained, 83% of which were polymorphic. For IRAP, only the Tvv1Fa primer amplified DNA fragments. In the REMAP analysis, the Tvv1Fa-Ms14 primer combination only produced polymorphic bands, and the Vine-1 primers produced mainly ISSR fragments. The highest number of polymorphic fragments was found for AFLP. Both AFLP and SSAP showed a greater capacity for identifying clones, resulting in 15 and 9 clones identified, respectively. Together, all of the techniques allowed for the identification of 54% of the studied clones, which is an important step in solving one of the challenges that viticulture currently faces.

Multiple Input-Output Bidirectional Solid State Transformer Based on a Series Resonant Converter

Las fuentes de alimentación de modo conmutado (SMPS en sus siglas en inglés) se utilizan ampliamente en una gran variedad de aplicaciones. La tarea más difícil para los diseñadores de SMPS consiste en lograr simultáneamente la operación del convertidor con alto rendimiento y alta densidad de energía. El tamaño y el peso de un convertidor de potencia está dominado por los componentes pasivos, ya que estos elementos son normalmente más grandes y más pesados que otros elementos en el circuito. Para una potencia de salida dada, la cantidad de energía almacenada en el convertidor que ha de ser entregada a la carga en cada ciclo de conmutación, es inversamente proporcional a la frecuencia de conmutación del convertidor. Por lo tanto, el aumento de la frecuencia de conmutación se considera un medio para lograr soluciones más compactas con los niveles de densidad de potencia más altos. La importancia de investigar en el rango de alta frecuencia de conmutación radica en todos los beneficios que se pueden lograr: además de la reducción en el tamaño de los componentes pasivos, el aumento de la frecuencia de conmutación puede mejorar significativamente prestaciones dinámicas de convertidores de potencia. Almacenamiento de energía pequeña y el período de conmutación corto conducen a una respuesta transitoria del convertidor más rápida en presencia de las variaciones de la tensión de entrada o de la carga. Las limitaciones más importantes del incremento de la frecuencia de conmutación se relacionan con mayores pérdidas del núcleo magnético convencional, así como las pérdidas de los devanados debido a los efectos pelicular y proximidad. También, un problema potencial es el aumento de los efectos de los elementos parásitos de los componentes magnéticos - inductancia de dispersión y la capacidad entre los devanados - que causan pérdidas adicionales debido a las corrientes no deseadas. Otro factor limitante supone el incremento de las pérdidas de conmutación y el aumento de la influencia de los elementos parásitos (pistas de circuitos impresos, interconexiones y empaquetado) en el comportamiento del circuito. El uso de topologías resonantes puede abordar estos problemas mediante el uso de las técnicas de conmutaciones suaves para reducir las pérdidas de conmutación incorporando los parásitos en los elementos del circuito. Sin embargo, las mejoras de rendimiento se reducen significativamente debido a las corrientes circulantes cuando el convertidor opera fuera de las condiciones de funcionamiento nominales. A medida que la tensión de entrada o la carga cambian las corrientes circulantes incrementan en comparación con aquellos en condiciones de funcionamiento nominales. Se pueden obtener muchos beneficios potenciales de la operación de convertidores resonantes a más alta frecuencia si se emplean en aplicaciones con condiciones de tensión de entrada favorables como las que se encuentran en las arquitecturas de potencia distribuidas. La regulación de la carga y en particular la regulación de la tensión de entrada reducen tanto la densidad de potencia del convertidor como el rendimiento. Debido a la relativamente constante tensión de bus que se encuentra en arquitecturas de potencia distribuidas los convertidores resonantes son adecuados para el uso en convertidores de tipo bus (transformadores cc/cc de estado sólido). En el mercado ya están disponibles productos comerciales de transformadores cc/cc de dos puertos que tienen muy alta densidad de potencia y alto rendimiento se basan en convertidor resonante serie que opera justo en la frecuencia de resonancia y en el orden de los megahercios. Sin embargo, las mejoras futuras en el rendimiento de las arquitecturas de potencia se esperan que vengan del uso de dos o más buses de distribución de baja tensión en vez de una sola. Teniendo eso en cuenta, el objetivo principal de esta tesis es aplicar el concepto del convertidor resonante serie que funciona en su punto óptimo en un nuevo transformador cc/cc bidireccional de puertos múltiples para atender las necesidades futuras de las arquitecturas de potencia. El nuevo transformador cc/cc bidireccional de puertos múltiples se basa en la topología de convertidor resonante serie y reduce a sólo uno el número de componentes magnéticos. Conmutaciones suaves de los interruptores hacen que sea posible la operación en las altas frecuencias de conmutación para alcanzar altas densidades de potencia. Los problemas posibles con respecto a inductancias parásitas se eliminan, ya que se absorben en los Resumen elementos del circuito. El convertidor se caracteriza con una muy buena regulación de la carga propia y cruzada debido a sus pequeñas impedancias de salida intrínsecas. El transformador cc/cc de puertos múltiples opera a una frecuencia de conmutación fija y sin regulación de la tensión de entrada. En esta tesis se analiza de forma teórica y en profundidad el funcionamiento y el diseño de la topología y del transformador, modelándolos en detalle para poder optimizar su diseño. Los resultados experimentales obtenidos se corresponden con gran exactitud a aquellos proporcionados por los modelos. El efecto de los elementos parásitos son críticos y afectan a diferentes aspectos del convertidor, regulación de la tensión de salida, pérdidas de conducción, regulación cruzada, etc. También se obtienen los criterios de diseño para seleccionar los valores de los condensadores de resonancia para lograr diferentes objetivos de diseño, tales como pérdidas de conducción mínimas, la eliminación de la regulación cruzada o conmutación en apagado con corriente cero en plena carga de todos los puentes secundarios. Las conmutaciones en encendido con tensión cero en todos los interruptores se consiguen ajustando el entrehierro para obtener una inductancia magnetizante finita en el transformador. Se propone, además, un cambio en los señales de disparo para conseguir que la operación con conmutaciones en apagado con corriente cero de todos los puentes secundarios sea independiente de la variación de la carga y de las tolerancias de los condensadores resonantes. La viabilidad de la topología propuesta se verifica a través una extensa tarea de simulación y el trabajo experimental. La optimización del diseño del transformador de alta frecuencia también se aborda en este trabajo, ya que es el componente más voluminoso en el convertidor. El impacto de de la duración del tiempo muerto y el tamaño del entrehierro en el rendimiento del convertidor se analizan en un ejemplo de diseño de transformador cc/cc de tres puertos y cientos de vatios de potencia. En la parte final de esta investigación se considera la implementación y el análisis de las prestaciones de un transformador cc/cc de cuatro puertos para una aplicación de muy baja tensión y de decenas de vatios de potencia, y sin requisitos de aislamiento. Abstract Recently, switch mode power supplies (SMPS) have been used in a great variety of applications. The most challenging issue for designers of SMPS is to achieve simultaneously high efficiency operation at high power density. The size and weight of a power converter is dominated by the passive components since these elements are normally larger and heavier than other elements in the circuit. If the output power is constant, the stored amount of energy in the converter which is to be delivered to the load in each switching cycle is inversely proportional to the converter’s switching frequency. Therefore, increasing the switching frequency is considered a mean to achieve more compact solutions at higher power density levels. The importance of investigation in high switching frequency range comes from all the benefits that can be achieved. Besides the reduction in size of passive components, increasing switching frequency can significantly improve dynamic performances of power converters. Small energy storage and short switching period lead to faster transient response of the converter against the input voltage and load variations. The most important limitations for pushing up the switching frequency are related to increased conventional magnetic core loss as well as the winding loss due to the skin and proximity effect. A potential problem is also increased magnetic parasitics – leakage inductance and capacitance between the windings – that cause additional loss due to unwanted currents. Higher switching loss and the increased influence of printed circuit boards, interconnections and packaging on circuit behavior is another limiting factor. Resonant power conversion can address these problems by using soft switching techniques to reduce switching loss incorporating the parasitics into the circuit elements. However the performance gains are significantly reduced due to the circulating currents when the converter operates out of the nominal operating conditions. As the input voltage or the load change the circulating currents become higher comparing to those ones at nominal operating conditions. Multiple Input-Output Many potential gains from operating resonant converters at higher switching frequency can be obtained if they are employed in applications with favorable input voltage conditions such as those found in distributed power architectures. Load and particularly input voltage regulation reduce a converter’s power density and efficiency. Due to a relatively constant bus voltage in distributed power architectures the resonant converters are suitable for bus voltage conversion (dc/dc or solid state transformation). Unregulated two port dc/dc transformer products achieving very high power density and efficiency figures are based on series resonant converter operating just at the resonant frequency and operating in the megahertz range are already available in the market. However, further efficiency improvements of power architectures are expected to come from using two or more separate low voltage distribution buses instead of a single one. The principal objective of this dissertation is to implement the concept of the series resonant converter operating at its optimum point into a novel bidirectional multiple port dc/dc transformer to address the future needs of power architectures. The new multiple port dc/dc transformer is based on a series resonant converter topology and reduces to only one the number of magnetic components. Soft switching commutations make possible high switching frequencies to be adopted and high power densities to be achieved. Possible problems regarding stray inductances are eliminated since they are absorbed into the circuit elements. The converter features very good inherent load and cross regulation due to the small output impedances. The proposed multiple port dc/dc transformer operates at fixed switching frequency without line regulation. Extensive theoretical analysis of the topology and modeling in details are provided in order to compare with the experimental results. The relationships that show how the output voltage regulation and conduction losses are affected by the circuit parasitics are derived. The methods to select the resonant capacitor values to achieve different design goals such as minimum conduction losses, elimination of cross regulation or ZCS operation at full load of all the secondary side bridges are discussed. ZVS turn-on of all the switches is achieved by relying on the finite magnetizing inductance of the Abstract transformer. A change of the driving pattern is proposed to achieve ZCS operation of all the secondary side bridges independent on load variations or resonant capacitor tolerances. The feasibility of the proposed topology is verified through extensive simulation and experimental work. The optimization of the high frequency transformer design is also addressed in this work since it is the most bulky component in the converter. The impact of dead time interval and the gap size on the overall converter efficiency is analyzed on the design example of the three port dc/dc transformer of several hundreds of watts of the output power for high voltage applications. The final part of this research considers the implementation and performance analysis of the four port dc/dc transformer in a low voltage application of tens of watts of the output power and without isolation requirements.

Maximum likelihood estimation of new state space models for operational modal analysis

The modal analysis of a structural system consists on computing its vibrational modes. The experimental way to estimate these modes requires to excite the system with a measured or known input and then to measure the system output at different points using sensors. Finally, system inputs and outputs are used to compute the modes of vibration. When the system refers to large structures like buildings or bridges, the tests have to be performed in situ, so it is not possible to measure system inputs such as wind, traffic, . . .Even if a known input is applied, the procedure is usually difficult and expensive, and there are still uncontrolled disturbances acting at the time of the test. These facts led to the idea of computing the modes of vibration using only the measured vibrations and regardless of the inputs that originated them, whether they are ambient vibrations (wind, earthquakes, . . . ) or operational loads (traffic, human loading, . . . ). This procedure is usually called Operational Modal Analysis (OMA), and in general consists on to fit a mathematical model to the measured data assuming the unobserved excitations are realizations of a stationary stochastic process (usually white noise processes). Then, the modes of vibration are computed from the estimated model. The first issue investigated in this thesis is the performance of the Expectation- Maximization (EM) algorithm for the maximum likelihood estimation of the state space model in the field of OMA. The algorithm is described in detail and it is analysed how to apply it to vibration data. After that, it is compared to another well known method, the Stochastic Subspace Identification algorithm. The maximum likelihood estimate enjoys some optimal properties from a statistical point of view what makes it very attractive in practice, but the most remarkable property of the EM algorithm is that it can be used to address a wide range of situations in OMA. In this work, three additional state space models are proposed and estimated using the EM algorithm: • The first model is proposed to estimate the modes of vibration when several tests are performed in the same structural system. Instead of analyse record by record and then compute averages, the EM algorithm is extended for the joint estimation of the proposed state space model using all the available data. • The second state space model is used to estimate the modes of vibration when the number of available sensors is lower than the number of points to be tested. In these cases it is usual to perform several tests changing the position of the sensors from one test to the following (multiple setups of sensors). Here, the proposed state space model and the EM algorithm are used to estimate the modal parameters taking into account the data of all setups. • And last, a state space model is proposed to estimate the modes of vibration in the presence of unmeasured inputs that cannot be modelled as white noise processes. In these cases, the frequency components of the inputs cannot be separated from the eigenfrequencies of the system, and spurious modes are obtained in the identification process. The idea is to measure the response of the structure corresponding to different inputs; then, it is assumed that the parameters common to all the data correspond to the structure (modes of vibration), and the parameters found in a specific test correspond to the input in that test. The problem is solved using the proposed state space model and the EM algorithm. Resumen El análisis modal de un sistema estructural consiste en calcular sus modos de vibración. Para estimar estos modos experimentalmente es preciso excitar el sistema con entradas conocidas y registrar las salidas del sistema en diferentes puntos por medio de sensores. Finalmente, los modos de vibración se calculan utilizando las entradas y salidas registradas. Cuando el sistema es una gran estructura como un puente o un edificio, los experimentos tienen que realizarse in situ, por lo que no es posible registrar entradas al sistema tales como viento, tráfico, . . . Incluso si se aplica una entrada conocida, el procedimiento suele ser complicado y caro, y todavía están presentes perturbaciones no controladas que excitan el sistema durante el test. Estos hechos han llevado a la idea de calcular los modos de vibración utilizando sólo las vibraciones registradas en la estructura y sin tener en cuenta las cargas que las originan, ya sean cargas ambientales (viento, terremotos, . . . ) o cargas de explotación (tráfico, cargas humanas, . . . ). Este procedimiento se conoce en la literatura especializada como Análisis Modal Operacional, y en general consiste en ajustar un modelo matemático a los datos registrados adoptando la hipótesis de que las excitaciones no conocidas son realizaciones de un proceso estocástico estacionario (generalmente ruido blanco). Posteriormente, los modos de vibración se calculan a partir del modelo estimado. El primer problema que se ha investigado en esta tesis es la utilización de máxima verosimilitud y el algoritmo EM (Expectation-Maximization) para la estimación del modelo espacio de los estados en el ámbito del Análisis Modal Operacional. El algoritmo se describe en detalle y también se analiza como aplicarlo cuando se dispone de datos de vibraciones de una estructura. A continuación se compara con otro método muy conocido, el método de los Subespacios. Los estimadores máximo verosímiles presentan una serie de propiedades que los hacen óptimos desde un punto de vista estadístico, pero la propiedad más destacable del algoritmo EM es que puede utilizarse para resolver un amplio abanico de situaciones que se presentan en el Análisis Modal Operacional. En este trabajo se proponen y estiman tres modelos en el espacio de los estados: • El primer modelo se utiliza para estimar los modos de vibración cuando se dispone de datos correspondientes a varios experimentos realizados en la misma estructura. En lugar de analizar registro a registro y calcular promedios, se utiliza algoritmo EM para la estimación conjunta del modelo propuesto utilizando todos los datos disponibles. • El segundo modelo en el espacio de los estados propuesto se utiliza para estimar los modos de vibración cuando el número de sensores disponibles es menor que vi Resumen el número de puntos que se quieren analizar en la estructura. En estos casos es usual realizar varios ensayos cambiando la posición de los sensores de un ensayo a otro (múltiples configuraciones de sensores). En este trabajo se utiliza el algoritmo EM para estimar los parámetros modales teniendo en cuenta los datos de todas las configuraciones. • Por último, se propone otro modelo en el espacio de los estados para estimar los modos de vibración en la presencia de entradas al sistema que no pueden modelarse como procesos estocásticos de ruido blanco. En estos casos, las frecuencias de las entradas no se pueden separar de las frecuencias del sistema y se obtienen modos espurios en la fase de identificación. La idea es registrar la respuesta de la estructura correspondiente a diferentes entradas; entonces se adopta la hipótesis de que los parámetros comunes a todos los registros corresponden a la estructura (modos de vibración), y los parámetros encontrados en un registro específico corresponden a la entrada en dicho ensayo. El problema se resuelve utilizando el modelo propuesto y el algoritmo EM.

A robust procedure for damage detection from strain measurements based on principal component analysis

FBGs are excellent strain sensors, because of its low size and multiplexing capability. Tens to hundred of sensors may be embedded into a structure, as it has already been demonstrated. Nevertheless, they only afford strain measurements at local points, so unless the damage affects the strain readings in a distinguishable manner, damage will go undetected. This paper show the experimental results obtained on the wing of a UAV, instrumented with 32 FBGs, before and after small damages were introduced. The PCA algorithm was able to distinguish the damage cases, even for small cracks. Principal Component Analysis (PCA) is a technique of multivariable analysis to reduce a complex data set to a lower dimension and reveal some hidden patterns that underlie.

Using array based techniques for noise source identification in cars

Una de las principales causas del ruido en nuestras ciudades es el tráfico rodado. El ruido generado por los vehículos no es sólo debido al motor, sino que existen diversas fuentes de ruido en los mismos, entre las que se puede destacar el ruido de rodadura. Para localizar las causas del ruido e identificar las principales fuentes del mismo se han utilizado en diversos estudios las técnicas de coherencia y las técnicas basadas en arrays. Sin embargo, en la bibliografía existente, no es habitual encontrar el uso de estas técnicas en el sector automovilístico. En esta tesis se parte de la premisa de la posibilidad de usar estas técnicas de medida en coches, para demostrar a la largo de la misma su factibilidad y su bondad para evaluar las fuentes de ruido en dos condiciones distintas: cuando el coche está parado y cuando está en movimiento. Como técnica de coherencia se elige la de Intensidad Selectiva, utilizándose la misma para evaluar la coherencia existente entre el ruido que llega a los oídos del conductor y la intensidad radiada por distintos puntos del motor. Para la localización de fuentes de ruido, las técnicas basadas en array son las que mejores resultados ofrecen. Statistically Optimized Near-field Acoustical Holography (SONAH) es la técnica elegida para la localización y caracterización de las fuentes de ruido en el motor a baja frecuencia. En cambio, Beamforming es la técnica seleccionada para el caso de media-alta frecuencia y para la evaluación de las fuentes de ruido cuando el coche se encuentra en movimiento. Las técnicas propuestas no sólo pueden utilizarse en medidas reales, sino que además proporcionan abundante información y frecen una gran versatilidad a la hora de caracterizar fuentes de ruido. ABSTRACT One of the most important noise causes in our cities is the traffic. The noise generated by the vehicles is not only due to the engine, but there are some other noise sources. Among them the tyre/road noise can be highlighted. Coherence and array based techniques have been used in some research to locate the noise causes and identify the main noise sources. Nevertheless, it is not usual in the literature to find the application of this kind of techniques in the car sector. This Thesis starts taking into account the possibility of using this kind of measurement techniques in cars, to demonstrate their feasability and their quality to evaluate the noise sources under two different conditions: when the car is stopped and when it is in movement. Selective Intensity was chosen as coherence technique, evaluating the coherence between the noise in the driver’s ears and the intensity radiated in different points of the engine. Array based techniques carry out the best results to noise source location. Statistically Optimized Near-field Acoustical Holography (SONAH) is the measurement technique chosen for noise source location and characterization in the engine at low frequency. On the other hand, Beamforming is the technique chosen in the case of medium-high frequency and to characterize the noise sources when the car is in movement. The proposed techniques not only can be used in actual measurements, but also provide a lot of information and are very versatile to noise source characterization.

Brain structures identification based on feature descriptor

Traumatic Brain Injury -TBI- -1- is defined as an acute event that causes certain damage to areas of the brain. TBI may result in a significant impairment of an individuals physical, cognitive and psychosocial functioning. The main consequence of TBI is a dramatic change in the individuals daily life involving a profound disruption of the family, a loss of future income capacity and an increase of lifetime cost. One of the main challenges of TBI Neuroimaging is to develop robust automated image analysis methods to detect signatures of TBI, such as: hyper-intensity areas, changes in image contrast and in brain shape. The final goal of this research is to develop a method to identify the altered brain structures by automatically detecting landmarks on the image where signal changes and to provide comprehensive information to the clinician about them. These landmarks identify injured structures by co-registering the patient?s image with an atlas where landmarks have been previously detected. The research work has been initiated by identifying brain structures on healthy subjects to validate the proposed method. Later, this method will be used to identify modified structures on TBI imaging studies.