Thesis (MEng) -- Stellenbosch University, 2014. / ENGLISH ABSTRACT: Full scale measurements were conducted on the polar supply and research vessel the S.A. Agulhas II during a 78 day voyage from Cape Town to Antarctica in 2013/2014. Investigations were conducted into the effect of vibration on human comfort and the structural dynamic response of the vessel. Vibration measured in the bridge of the vessel is found to have little effect on human comfort for a standing person and is classified as not uncomfortable according to BS ISO 2631-1. Structural fatigue as a result of vibration is found to reach levels where damage is possible in the stern and where damage is probable in the bow during open water navigation, according to ship vibration guidelines by Germanischer Lloyd. Multivariate statistical analyses are performed to investigate the relationships between multiple predictor variables and vibration response. Factor analysis revealed data structure from which specific physical phenomena could be identified. Multivariable linear regression models are developed to predict vibration response and are found to provide more accurate predictions in open water than in ice. The 2-node, 3-node and 4-node normal bending modes of the structure are identified using operational modal analysis while the vessel was moored in the harbour. The natural frequencies, damping ratios and mode shapes are estimated and compared using LMS Operational PolyMAX and ARTeMIS CCSSI. A comparison of operational modal analysis results to the STX Finland finite element model show that the vessel’s modes occur at lower frequencies than numerically predicted. Clear potential is identified to further investigate structural vibration and operational modal analysis algorithm development in future research. / AFRIKAANSE OPSOMMING: Volskaal metings was op die poolvoorsienings en navorsingskip die S.A. Agulhas II uitgevoer tydens ’n 78 dae reis van Kaapstad tot Antarktika in 2013/2014. Ondersoeke is uitgevoer met betrekking tot die effek van vibrasie op menslike gemak en die strukturele dinamiese reaksie van die vaartuig. Vibrasie wat in die brug van die skip gemeet is, het min invloed op menslike gemak vir ’n staande persoon en word geklassifiseer as nie ongemaklik volgens BS ISO 2631-1. Strukturele vermoeidheid as gevolg van vibrasie bereik vlakke waar skade moontlik is in die spieël en waar skade waarskynlik is in die boog tydens navigasie in oop water, volgens skip vibrasie riglyne deur Germanischer Lloyd. Meerveranderlike statistiese ontledings is uitgevoer om die verhoudings tussen verskeie voorspellerveranderlikes en vibrasieterugvoer te ondersoek. Faktorontleding het data struktuur openbaar waaruit spesifieke fisiese verskynsels geïdentifiseer kan word. Multi-veranderlike lineêre regressiemodelle was ontwikkel om vibrasie reaksie te voorspel en lewer meer akkurate voorspellings in oop water as in ys. Die 2-nodus, 3-nodus en 4-nodus normale buig modes van die struktuur is geïdentifiseer met behulp van operasionele modale analise terwyl die skip vasgemeer in die hawe is. Die natuurlike frekwensie, demping verhoudings en mode vorms is beraam en vergelyk met behulp van LMS operasionele Polymax en ARTeMIS CCSSI. ’n vergelyking van operasionele modale analise resultate en ’n STX Finland eindige element model toon dat die vaartuig se modusse voorkom by laer frekwensies as wat numeries voorspel word. Duidelike potensiaal is geïdentifiseer om strukturele vibrasie en die ontwikkeling van operasionele modale analise algoritmes te ondersoek in toekomstige navorsing.

Given the advantages of parallel manipulators and lightweight manipulators, a 3-PRR planar parallel manipulator with three lightweight intermediate links has been developed to provide an alternative high-speed pick-and-place positioning mechanism to serial architecture manipulators in electronic manufacturing, such as X-Y tables or gantry robots. Lightweight members are more likely to exhibit structural defection and vibrate due to the inertial forces from high speed motion, and external forces from actuators. Structural flexibility effects are much more pronounced at high operational speeds and accelerations. Therefore, this thesis presents the dynamics and vibration control of a 3-PRR parallel manipulator with three flexible links. Firstly, a procedure for the generation of dynamic equations for a 3-PRR parallel manipulator with three flexible intermediate links is presented based on the assumed mode method. The dynamic equations of the parallel manipulator with three flexible intermediate links are developed using pinned-pinned boundary conditions. Experimental modal tests are performed using an impact hammer and an accelerometer to identify the mode shapes, frequencies, and damping ratios of flexible intermediate links. The mode shapes and frequencies, obtained from experimental modal tests, match very well the assumed mode shapes and frequencies obtained based on pinned-pinned boundary conditions, and therefore the dynamic model developed is validated. Secondly, this thesis presents the investigation on dynamic stiffening and buckling of the flexible links of a 3-PRR parallel manipulator by including the effect of longitudinal forces on the modal characteristics. Natural frequencies of bending vibration of the intermediate links are derived as the functions of axial force and rigid-body motion of the manipulator. Dynamic stiffening and buckling of intermediate links is investigated and configuration-dependant frequencies are analyzed. Furthermore, using Lagrange multipliers, the fully coupled equations of motions of the flexible parallel manipulator are developed by incorporating the rigid body motions with elastic motions. The mutual dependence of elastic deformations and rigid body motions are investigated from the analysis of the derived equations of motion. Open-loop simulation without joint motion controls and closed-loop simulation with joint motion controls are performed to illustrate the effect of elastic motion on rigid body motions and the coupling effect amongst flexible links. These analyses and results provide valuable insight into the design and control of the parallel manipulator with flexible intermediate links. Thirdly, an active vibration control strategy is developed for a moving 3-PRR parallel manipulator with flexible links, each of which is equipped with multiple PZT control pairs. The active vibration controllers are designed using the modal strain rate feedback (MSRF). The amplification behavior of high modes is addressed, and the control gain selection strategy for high modes is developed through modifying the IMSC method. The filters are developed for the on-line estimation of modal coordinates and modal velocity. The second compensator is used to cut off the amplified noises and unmodeled dynamics due to the differentiation operation in the developed controller. The modal coupling behavior of intermediate links is examined with the modal analysis of vibrations measured by the PZT sensors. The error estimation of the moving platform is examined using the measurement of PZT sensors. Finally, an active vibration control experimental system is built to implement the active vibration control of a moving 3-PRR parallel manipulator with three flexible links. The smart structures are built through mounting three PZT control pairs to each intermediate flexible link. The active vibration control system is set up using National Instruments LabVIEW Real-Time Module. Active vibration control experiments are conducted for the manipulator moving with high-speed, and experimental results demonstrate that the vibration of each link is significantly reduced.

Given the advantages of parallel manipulators and lightweight manipulators, a 3-PRR planar parallel manipulator with three lightweight intermediate links has been developed to provide an alternative high-speed pick-and-place positioning mechanism to serial architecture manipulators in electronic manufacturing, such as X-Y tables or gantry robots. Lightweight members are more likely to exhibit structural defection and vibrate due to the inertial forces from high speed motion, and external forces from actuators. Structural flexibility effects are much more pronounced at high operational speeds and accelerations. Therefore, this thesis presents the dynamics and vibration control of a 3-PRR parallel manipulator with three flexible links. Firstly, a procedure for the generation of dynamic equations for a 3-PRR parallel manipulator with three flexible intermediate links is presented based on the assumed mode method. The dynamic equations of the parallel manipulator with three flexible intermediate links are developed using pinned-pinned boundary conditions. Experimental modal tests are performed using an impact hammer and an accelerometer to identify the mode shapes, frequencies, and damping ratios of flexible intermediate links. The mode shapes and frequencies, obtained from experimental modal tests, match very well the assumed mode shapes and frequencies obtained based on pinned-pinned boundary conditions, and therefore the dynamic model developed is validated. Secondly, this thesis presents the investigation on dynamic stiffening and buckling of the flexible links of a 3-PRR parallel manipulator by including the effect of longitudinal forces on the modal characteristics. Natural frequencies of bending vibration of the intermediate links are derived as the functions of axial force and rigid-body motion of the manipulator. Dynamic stiffening and buckling of intermediate links is investigated and configuration-dependant frequencies are analyzed. Furthermore, using Lagrange multipliers, the fully coupled equations of motions of the flexible parallel manipulator are developed by incorporating the rigid body motions with elastic motions. The mutual dependence of elastic deformations and rigid body motions are investigated from the analysis of the derived equations of motion. Open-loop simulation without joint motion controls and closed-loop simulation with joint motion controls are performed to illustrate the effect of elastic motion on rigid body motions and the coupling effect amongst flexible links. These analyses and results provide valuable insight into the design and control of the parallel manipulator with flexible intermediate links. Thirdly, an active vibration control strategy is developed for a moving 3-PRR parallel manipulator with flexible links, each of which is equipped with multiple PZT control pairs. The active vibration controllers are designed using the modal strain rate feedback (MSRF). The amplification behavior of high modes is addressed, and the control gain selection strategy for high modes is developed through modifying the IMSC method. The filters are developed for the on-line estimation of modal coordinates and modal velocity. The second compensator is used to cut off the amplified noises and unmodeled dynamics due to the differentiation operation in the developed controller. The modal coupling behavior of intermediate links is examined with the modal analysis of vibrations measured by the PZT sensors. The error estimation of the moving platform is examined using the measurement of PZT sensors. Finally, an active vibration control experimental system is built to implement the active vibration control of a moving 3-PRR parallel manipulator with three flexible links. The smart structures are built through mounting three PZT control pairs to each intermediate flexible link. The active vibration control system is set up using National Instruments LabVIEW Real-Time Module. Active vibration control experiments are conducted for the manipulator moving with high-speed, and experimental results demonstrate that the vibration of each link is significantly reduced.

[pt] Uma técnica bem conhecida para resolver problemas dependentes do tempo é a formulação, desses problemas, no domínio da frequência por meio da transformada de Laplace ou Fourier, com as consequêntes expressões apropriadas desses resultados utilizando inversões numéricas. Embora de fácil implementação, tais inversões numéricas, são computacionalmente dispendiosas quando resultados mais exatos são desejados e suscetíveis a instabilidades num´ericas. Para problemas de tipo difusão, o algoritmo de Gaver-Stehfest parece ser satisfatório. Problemas gerais de dinâmica demandam algoritmos mais robustos, usualmente baseados em expansões em séries de Fourier tal como foi proposto inicialmente por Dubner e Abate. Algoritmos de outros tipos já são implementados em softwares matemáticos tais como Matlab e Mathematica. A livraria de Fortran possui um algoritmo proposto por Crump e aperfei¸coado por de Hoog e colegas. Mais recentemente, foi proposto resolver problemas transientes de potencial e elasticidade pelo uso de uma técnica avançada de superposição modal que é aplicado a modelos de elementos finitos e elementos de contorno baseados em equilíbrio. O método começa com a formulação no domínio da frequência a qual leva a uma matriz de rigidez efetiva, simétrica-complexa (quando amortecimento viscoso é considerado), expressa como uma série de potências de frequência com matrizes generalizadas de rigidez, amortecimento e massa. Após a solução do problema de autovalor não linear associado, obtém-se uma solução modal avançada do problema, a qual permite uma rápida solução no domínio do tempo obtendo as expressões imediatamente de qualquer resultado de interesse. O objetivo deste trabalho é comparar o desempenho computacional da técnica de superposição modal avançada com as técnicas baseadas em transformadas inversas numéricas de Laplace como aplicações a problemas generais de grande porte. A bibliografia relevante é revista e as principais diferenças conceituais desses métodos são brevemente tratados. Todos os algoritmos são implementados em Fortran com o intuito de garantir uma base comum de comparação. Alguns resultados iniciais são mostrados, conclusões mais definitivas so poderão ser obtidas após uma grande série de simulações numéricas. / [en] An established technique to solve time-dependent problems is the formulation of a complete frequency-domain analysis via Laplace or Fourier transforms, with subsequent ad hoc expression of results by numerical inversion. Although usually easy to implement, such a transform inversion is computationally intensive, if accurate results are desired, and liable to numerical instabilities. For diffusion-type problems, the Gaver-Stehfest algorithm seems well suited. General dynamics problems demand more robust algorithms usually based on Fourier series expansions, as firstly proposed by Dubner and Abate. Algorithms of either kind are already implemented in mathematical languages such as Matlab and Mathematica. The Fortran library has a Fourier-series algorithm proposed by Crump and improved by de Hoog et al. More recently, it has been proposed to solve transient problems of potential and elasticity by using an advanced mode superposition technique that applies to equilibrium-based finite element and boundary element models. One starts with a frequency-domain formulation that leads to a complex-symmetric (if viscous damping is included), effective stiffness matrix expressed as a frequency power series with generalized stiffness, dumping and mass matrices. After solution of the associated complex-symmetric, non-linear eigenvalue problem, one arrives at an advanced modal solution of the problem, which leads to the straightforward solution in the time domain and the immediate expression of any results of interest. Aim of the present research work is to compare the computational efficiency of the proposed advanced modal analysis with the techniques based on numerical inverse transforms, as applied to general, large scale problems. The relevant literature is reviewed and the main conceptual differences of the investigated methods are briefly outlined. All algorithms are implemented in Fortran so as to assure a common basis of comparison. Some initial results are displayed, as more definitive conclusions can only be expected after a large series of numerical simulations.

Le spectrofiltre est un filtre de Wiener utilisé pour isoler le bruit de combustion du moteur Diesel. Ce filtre est déterminé pour chaque point de fonctionnement et nécessite un traitement important des données. Il est donc difficile de mener des études perceptives sur le bruit de combustion obtenu selon plusieurs réglages moteur. Afin de pallier à cet inconvénient, cette thèse a pour objectif de définir un filtre commun qui puisse synthétiser un bruit de combustion en tout point de fonctionnement. Pour cela, une étude perceptive a montré que la substitution du spectrofiltre conventionnel par un autre filtre de Wiener permet la synthèse d’un bruit de combustion. L’utilisation d’un spectrofiltre commun est donc possible. L’analyse modale expérimentale permet d’estimer le filtre de Wiener à partir de données caractéristiques de la structure du moteur. Après analyse sur un signal synthétique, la méthode ESPRIT apparait la plus appropriée, mais nécessite quelques optimisations pour être adaptée aux particularités des spectrofiltres. Les filtres de Wiener de plusieurs régimes sont estimés selon différentes conditions d’estimation, définies par le critère ESTER. Une évolution fictive de l’amortissement selon le régime moteur est observée, et rattachée au fenêtrage temporel effectué dans le calcul du spectrofiltre. Une expérience perceptive est ensuite menée pour identifier si le critère ESTER permet d’estimer des filtres assez précis pour synthétiser des bruits de combustion similaires aux bruits de combustion conventionnels. Les résultats amènent à concevoir le spectrofiltre obtenu au ralenti comme un bon filtre commun, tant d’un point de vue physique que perceptif. / The spectrofilter is a Wiener filter used to extract combustion noise. This filter requires an important data processing and is determined in all operating conditions. Thus it is difficult to carry out perceptual studies on combustion noise from various motor adjustments. To overcome this drawback, this PhD dissertation aims to define a common filter which can synthesize a combustion noise in all operating conditions. For this, a perceptual study showed that the substitution of the conventional spectrofilter by another Wiener filter allows the synthesis of a combustion noise. The use of a common spectrofilter is thus possible. The experimental modal analysis allows to estimate the Wiener filter from characteristic data of the engine structure. After studying on a synthetic signal, the ESPRIT method seems to be the most appropriate, but requires some optimizations to be adapted to spectrofilter peculiarities. The Wiener filters of several running speeds are estimated in different estimating conditions, defined by the ESTER criterion. A fictitious damping evolution with the running speed is observed and linked to the temporal windowing applied on the spectrofilter computation. A perceptual experience is then carried out to identify if the ESTER criterion allows to estimate accurately filters to synthesize combustion noises similar to conventional combustion noises. The results lead to conceive the spectrofilter obtained in idling condition as a good common filter, as in a physical point of view that perception.

Ce travail s’inscrit dans le cadre de la mise en place d’une stratégie de SHM (Structural Health Monitoring) dédiée à la surveillance des structures en génie civil. Il a porté, d’une part, sur l’étude des méthodes de détection et de localisation de l’endommagement du bâti existant et, d’autre part, sur l’élaboration du cahier des charges d’un capteur « intégré » capable de délivrer des informations par transmission compacte des données pour les communiquer à une chaîne SHM. Des études numériques et expérimentales ont été réalisées dans cet objectif. L’état de l’art a clairement mis en évidence plusieurs points faibles des méthodes de détection et de localisation d’endommagements usuelles comme, par exemple, le manque de précision et/ou la complexité de mise en place. On observe aussi que la sensibilité de ces méthodes par rapport à plusieurs paramètres, essentiellement la direction de mesure, le positionnement des capteurs et la sévérité des endommagements, ne permet pas à ce jour de dresser un diagnostic précis de l’état de santé des structures. Pour répondre au cahier des charges d’une chaîne SHM, un Algorithme de Détection et de Localisation (ADL) a été élaboré. Cet algorithme fait appel à des méthodes utilisant les paramètres modaux, essentiellement les fréquences propres et les déformées modales. Leurs mises en œuvre séquentielles et itératives, judicieusement structurées et pilotées,a permis de répondre aux objectifs fixés. Les paramètres modaux requis sont identifiés à l’aide des techniques d’Analyse Modale Opérationnelle (AMO) et à partir de la réponse en accélérations des structures. Deux algorithmes d’AMO ont été utilisés pour leur efficacité et pour leur aptitude à l’automatisation: la méthode stochastique par sous ensemble (SSI), et la méthode de décomposition dans le domaine fréquentiel (FDD). En fusionnant les algorithmes d’AMO avec l’ADL, une chaîne complète de surveillance a été créée. La validation des algorithmes et de la chaîne de surveillance s’est faite à plusieurs niveaux. Tout d’abord, basés sur la théorie des éléments finis, des modèles numériques de la tour de l'Ophite et du pont canadien de la Rivière aux-Mulets ont permis d'évaluer l'ADL. Ces modèles sont endommagés par des signaux sismiques et fournissent les données accélérométriques, données d’entrée du logiciel que nous avons développé. Les résultats obtenus sont tout à fait satisfaisants voire meilleurs que ceux issus des méthodes usuelles. Dans un second temps, nous avons traité des données expérimentales «réelles », issues des mesures accélérométriques sur la tour de l’Ophite. La confrontation entre les résultats d’identification des fréquences propres et des déformées modales issus des algorithmes d’AMO et ceux reportés par la bibliographie, a révélé l’efficacité des algorithmes développés.Enfin, une maquette d’un bâtiment à échelle réduite a également été élaborée et instrumentée.L’application de la chaine de surveillance a permis, d’une part, de détecter et localiser l’endommagement introduit dans la structure et, d’autre part, de mettre en évidence l’intérêt de la surveillance automatique. Finalement, une étude a été menée dans le but de réduire la quantité d’informations enregistrées sur les structures et de faciliter le transfert des données servant comme entrées de la chaîne de surveillance. Les résultats de ces études ont contribué à la spécification d’un nouveau système de surveillance / The work presented in this thesis is part of the development of a Structural Health Monitoring(SHM) system dedicated to civil engineering applications. First, it studies the methods of damagedetection and localization. Furthermore, it helps elaborate the specifications of an integratedsensor capable of delivering information by compact transmission of data to an SHM chain.Numerical and experimental studies have been carried out for this purpose. The study of theliterature clearly highlighted several weak points of the traditional damage detection andlocalization methods, such as the lack of precision and the complexity of implementation. Thesensitivity of these methods with respect to several parameters, essentially the measurementdirection, the positioning of the sensors and the severity of the damage, makes it impossible todraw up an accurate diagnosis of the structures. In order to overcome these limitations, a damageDetection and Localization Algorithm (DLA) was developed. By applying Vibration-Based Damage Detection Methods, following a precise order and taking into account the sensitivity, the simplicityand the SHM level of each method, this algorithm made it possible to meet the objectives set at the beginning of this work. The required modal parameters, namely eigen-frequencies and modeshapes, were identified from the structure’s output-only response using Operational ModalAnalysis techniques (OMA). Two OMA algorithms were used for their efficiency and automationability: the Stochastic Subspace Identification method (SSI) and the Frequency DomainDecomposition method (FDD). By merging the OMA algorithms with the DLA, a complete SHMchain was created. The algorithms validation was made at several levels. First, the DLA wasevaluated using a Finite Element Model (FEM) of the Ophite tower and the Rivière aux Muletsbridge. The results obtained were quite satisfactory. Secondly, experimental data were processed,from accelerometric measurements on the Ophite tower. The confrontation between the results ofeigen-frequencies and mode shapes identification using OMA algorithms and those reported in theliterature revealed the efficiency of the developed algorithms. Finally, a scale model of a buildingwas developed, instrumented and damaged. The use of the surveillance chain allowed thedetection and localization of the damage. Moreover, it showed all the interest of using automatic surveillance. The last step of this work dealt with a study carried out to reduce the amount of datarecorded on structures in order to facilitate their transfer to the SHM chain. As a conclusion, the results of these studies contributed to the specification of a new monitoring system

Orientador: Sérgio Kurokawa / Banca: Afonso José do Prado / Banca: Lourenço Matias / Resumo: O presente trabalho descreve detalhadamente uma metodologia alternativa para o cálculo dos parâmetros longitudinais e transversais de um condutor múltiplo genérico, com base na configuração de um condutor equivalente. A metodologia proposta considera precisamente o acoplamento mútuo entre os subcondutores que compões o feixe, a natureza distribuída dos parâmetros e a distribuição da corrente, uniforme ou desigual, através dos subcondutores. São calculados e analisados os parâmetros utilizando a metodologia alternativa proposta e o procedimento clássico baseado na obtenção de um condutor equivalente aplicando o conceito do Raio Médio Geométrico (RMG), para diversos condutores múltiplos, sendo eles simétricos ou não simétricos, convencionais ou não-convencionais. Posteriormente, são comparados os resultados obtidos por ambos os métodos e a partir desses é possível comprovar a eficácia da metodologia proposta e eventuais situações em que a metodologia clássica, envolvendo o conceito do RMG, apresenta algumas imprecisões derivadas da distribuição não uniforme da corrente em condutores múltiplos assimétricos ou pouco convencionais / Abstract: The present work describes an alternative methodology to evaluate the longitudinal and transversal parameters of a generic bundled conductor, based on the configuration of an equivalent conductor. The proposed methodology considers precisely the mutual coupling among subconductors of the bundle, the distributed nature of parameters and the current distribution through subconductors. The parameters are calculated and analyzed using the proposed alternative methodology and the classic procedure, based on equivalent conductor applying the concept of Geometric Mean Radius (GMR), for several bundled conductors, symmetric or nonsymmetric, conventional or non-conventional. Subsequently, the obtained results are compared to both methods and then it is possible to verify the efficacy of the proposed methodology and eventual situations where the classic methodology, based on RMG concept, presents inaccuracies due to the non-uniform distribution of the current in non-symmetric or non-conventional bundled conductors / Mestre

Apresenta uma nova técnica de identificação estocástica para estruturas sujeitas a excitação ambiente utilizando um método não recursivo, a análise estatística e a transformada wavelet. A análise estatística contribui para a seleção da melhor ordem para o sistema e automação dos procedimentos computacionais. Em geral há dificuldade para a identificação de baixas freqüências. A transformada wavelet é uma ferramenta fundamental para a compressão de dados e torna possível a identificação completa incluindo baixas freqüências e modos acoplados, além de melhorar significativamente a eficiência computacional do método. É apresentado o estudo de três sistemas simulados e os resultados obtidos são comparados aos parâmetros modais teóricos. / A new form to carry out stochastic identification of structures in operational conditions using a non recursive method, the statistic analysis and the wavelet transform, is presented. The statistic analysis contributed to select the best system order and to automation of computational procedures. In general the identification of low frequencies is a difficult task. The wavelet transform is an essential tool for compression of data making possible the complete identification including low frequencies. In addition it improves the computational efficiency. The study of three simulated system is presented and the results are compared with the analytical modal parameters.

The development of technologies to reduce turbofan engine noise reveals the fan noise, the first stage of an engine, as a great contributor for the total noise of an airplane. So a better understanding of the fan noise generation came up and motivated the construction of a fan rig test facility at the University of São Paulo in São Carlos by a partnership between the university and EMBRAER S.A.. The fan rig is composed of a long duct (12mlong) comprising a 16-bladed fan rotor and 14-vaned stator. The rotor is powered by an 100 hp electrical motor allowing speed up to 4250 RPM resulting in 0.1Mach axial flow. A 77-microphone wall-mounted array was designed for fan noise analysis. A cooperation with NASA-Glenn allowed data and information exchanging from their similar fan rig setup, the ANCF, grating then the validation of the in-house developed software. A short guide for duct-array is proposed in this work. Complex software was developed to process the data from the microphones array. We performed 3 different types of analysis: power spectral density, noise imaging obtained by acoustic beamforming and modal analysis.We proposed a different technique for modal analysis based on beamforming images in this work.We did not find any similar technique in the references. The results obtained by this technique were validated with data from ANCF-NASA. Comparative results are presented for both fan rigs, such as: power spectral densities for different fan speeds, modal analysis at the blade passing frequency (strong tones generated by the fan), noise imaging obtained by beamforming for rotating and static noise sources. Finally, results achieved in this work are in agreement with those observed in the references consulted. / Como desenvolver de tecnologias para redução de ruído de motores aeronáuticos turbofans, o ruído gerado pelo fan (primeiro estágio do motor) vem se mostrando cada vez mais um grande contribuinte na emissão total de ruído em um avião. Com isso, a necessidade de se estudar mecanismos geradores de ruído nestes motores veio à tona e motivou a construção de uma bancada de experimentos aero-acústicos junto àUniversidade de São Paulo, campus São Carlos, oriundo da parceria entre EMBRAER S.A. e Universidade de São Paulo. A bancada de ensaios compõe um conjunto rotor/estator, sendo que o fan (rotor) é equipado com 16 pás e a estatora 14 pás, conectado a um motor elétrico de 100 hp através de um eixo ao rotor, alcançando 4250 RPM com velocidade de escoamento axial médio de 0,1 Mach. Esta bancada é composta por um longo duto e a seção de ensaio com o fan localiza-se ao centro. Uma antena dispondo de 77 microfones foi especialmente projetada para fazer aquisição do ruído gerado pelo fan. Uma parceria com a NASA-Glenn possibilitou a troca de informações e dados experimentais de sua bancada de experimentos similar (ANCF) ajudando assim a validar os códigos desenvolvidos bem como comparar resultados para ambas as bancadas. Umpequeno roteiro para projeto de antena para análise modal e beamforming em duto é apresentado neste trabalho. Um complexo software foi desenvolvido a fim de processar sistematicamente os dados aquisitados pelos microfones da antena. Três tipos de análise são feitas: Via espectro densidade de potência; Imagem de ruído acústico obtido através da técnica de beamforming, e por último, análise modal. Uma técnica diferente para análise modal baseada em imagens obtidas através de beamforming é proposta neste trabalho. Nada similar foi encontrado nas referências consultadas. Os resultados foram validados com dados de fontes sintéticas produzidas pela bancada ANCF-NASA. Resultados comparativos para ambas as bancadas são exibidas neste trabalho, tais quais: Análise do espectro densidade de potência para diferentes rotações do fan; análise modal nas frequências de passagem das pás (forte ruído tonal gerado pelo fan); imagem acústica do ruído gerado tanto por fontes rotativas quanto para fontes estáticas. Finalmente, os resultados obtidos estão de acordo com o esperado e de antemão observados nas referências consultadas.

Esta pesquisa apresenta um estudo investigativo da análise modal aplicada a Sistemas de Distribuição (SDs) frente às distorções harmônicas, no contexto da Qualidade da Energia Elétrica (QEE). A partir do método de análise da ressonância modal, foi conduzido um estudo investigativo para apontar quais barramentos são mais sensíveis e permitem uma melhor observação frente às distorções harmônicas. Vale adiantar que o método de análise de ressonância modal, o qual é fundamentado na decomposição espectral da matriz de admitância do sistema elétrico, já apresenta interessantes trabalhos voltados para sistemas de transmissão. O desafio desta pesquisa foi então investigar a sua aplicação para SDs com um direcionamento às distorções harmônicas, bem como ao seu monitoramento. Dentre os resultados encontrados no desenvolvimento da pesquisa, destaca-se um melhor entendimento do problema das distorções harmônicas, o qual permitiu evidenciar a sensibilidade e a observabilidade dos SDs testes frente ao problema definido no contexto da QEE. / This research presents an investigative study of the modal analysis applied to Distribution Systems (DSs) in the context of Power Quality (PQ) considering the harmonic distortions. From the modal resonance analysis, an investigative study was conducted to indicate which bus bars are more sensitive and allow better observation in face of harmonic distortions. It is worth mentioning that the method of modal resonance analysis, which is based on the spectral decomposition of the admittance matrix of the electric system, already presents interesting applications focused on transmission systems. The challenge of this research was to investigate its application to DSs focusing on harmonic distortions, as well as their monitoring. Among the observed results of the research development, a better understanding of the harmonic distortions problem was achieved, which made it possible to highlight the sensitivity and observability of the DSs tests against the problem defined in the context of the PQ.