The transition from internal combustion engine to battery electric cars is accompanied by a shift on the NVH issues damaging the passenger comfort. The rolling noise generated by the wheels and tyres is in particular characterized by an increasing attention from OEMs and car manufacturers. Among the causes of the rolling noise are the vibrations generated at the wheel, which are transmitted to the vehicle interior through its structure. To limit these vibrations at their source, a new innovative concept has been proposed at Stellantis. This idea is based on the use of a specific type of vibration absorber known by the acronym MTMD (Multiple Tuned Mass Damper).First, the existing literature about vibrations absorbers and optimisation techniques has been reviewed. Then, initial simulations on a global model comprising the wheel and beam-like resonators have shown how this system can effectively reduce a resonant peak.Optimisation processes have then revealed an important attenuation of a wheel resonance, even when the peak frequency is shifted. This demonstrated how important the distribution of resonators resonance frequencies are and their damping ratios when designing a robust and efficient MTMD.Finally, local resonators have been designed and modelled by considering the constraints for an integration on a wheel. A satisfactory design for resonators able to vibrate at the wanted frequency has been found. The beam-like resonators used in the first global model have then been replaced by these real resonators, confirming the possible gain with this device in a vehicle. / Övergången från förbränningsmotorer till batterielektriska bilar åtföljs av en övergång till NVH-frågor som kan påverka passagerarnas komfort. Det rullningsljud som genereras av hjul och däck får i synnerhet ökad uppmärksamhet från OEM:er och biltillverkare.Bland orsakerna till rullningsljudet finns de vibrationer som genereras vid hjulet och som överförs till fordonets inre genom dess struktur. För att begränsa dessa vibrationer vid källan har ett nytt innovativt koncept föreslagits av Stellantis. Idén bygger på användningen av en särskild typ av vibrationsdämpare som kallas MTMD (Multiple Tuned Mass Damper).Först har den befintliga litteraturen om vibrationsdämpare och optimeringstekniker gåtts igenom. Därefter har inledande simuleringar på en global modell som omfattar hjulet och balkliknande resonatorer visat hur detta system effektivt kan minska en resonanstopp.Optimeringsprocesserna har sedan bekräftat att hjulresonansen är kraftigt dämpad, även när toppfrekvensen är förskjuten. Detta visade hur viktig fördelningen av resonansfrekvenser och dämpningsförhållanden för resonatorer är när man utformar en robust och effektiv MTMD.Slutligen har lokala resonatorer utformats och modellerats genom att beakta begränsningarna för en integrering i ett hjul. En tillfredsställande utformning av resonatorer som kan vibrera vid den önskade frekvensen har hittats. De balkliknande resonatorer som användes i den första globala modellen har sedan ersatts av dessa riktiga resonatorer, vilket bekräftar den potentiella förbättringen med denna anordning i ett fordon.

Liquid sloshing in a 2D tank applied on a wave energy capture system and reducing the oscillation of an offshore platform are discussed in this study. A fully nonlinear time-independent finite difference method and the forth-order Runge-Kutta method are implemented to solve the coupled motions of liquid sloshing in a 2D tank with a floating platform. When the external forcing frequency of the Dynamic Vibration Absorber System composed by a tuned liquid damper and a tuned mass damper is identical to the fundamental frequency of the tank, the external force can be effectively diminished by the sloshing-induced force. In the meantime, the maximum effect of tuned mass damper on reducing the amplitude of the floating platform appears. When the frequency of external forcing is close to the first natural frequency of the liquid tank, the coupled effect between the motions of both the tank and the platform can effectively reduce the vibration of the platform and the total energy of the whole system. The Eigenfrequency of a wave capture system is formed by the coupled effect of a liquid tank and a wave capture system. When the excitation frequency of the wave capture system is near its Eigenfrequency, the sloshing-induced force is much larger than that of external and the maximum displacement of the wave energy capture system occurs. As a result, the wave energy capacity of the wave capture system can be averagely increased to 150% by the influence of liquid sloshing in the tank.

Orientador: Vicente Lopes Júnior / Banca: Nobuo Oki / Banca: José Manoel Balthazar / Resumo: Este trabalho tem como propósito projetar controladores para aplicação em tempo real em uma estrutura flexível, objetivando a redução de vibração estrutural. Os controladores são projetados segundo o enfoque de otimização convexa, com formulações envolvendo desigualdades matriciais lineares (LMIs). Duas diferentes sínteses de realimentação são consideradas. A primeira é o projeto de controladores por realimentação de estados, estimados por um observador. A segunda metodologia é baseada no controle H∞ via realimentação do sinal de saída. O modelo matemático da estrutura, usado no projeto dos controladores, foi obtido utilizando o método de Lagrange. A estrutura considerada representa um modelo de um edifício flexível controlado por uma massa móvel (Active Mass Damper -AMD) localizada no topo. A estrutura é submetida a dois tipos de excitações, sísmica e senoidal. Uma mesa de vibração (Shake Table) foi usada para aplicar as excitações. Para rodar o experimento de controle foi usado uma placa de aquisição (MultiQ - PCI) e o software de controle Wincon. Os controladores foram desenvolvidos usando o Simulink e executado em tempo real usando o Wincon. Testes experimentais foram realizados para comprovação e avaliação das metodologias propostas. / Abstract: The proposal of this work is to design real time controllers for application in flexible structure, aiming the structural vibration reduction. The controllers are designed by convex optimization involving linear matrix inequalities (LMIs) approaches. Two different methodologies to feedback the system are explained. The first one is the design controller by state feedback based on observer. The second one is based on H∞ output feedback control. The mathematical model of the structure, used in the controller design, was obtained by Lagrange's method. The structure can represent a flexible building, and it is controlled by a driving mass located at the top. The structure is submitted to seismic and sinusoidal excitations. A vibration table (Shake Table) was used to apply the excitations. The experimental tests were realized using an acquisition board (MultiQ - PCI) and the Wincon control software. The controllers were developed using Simulink, and it run in real time using the Wincon software. Experimental tests were accomplished to validate and evaluate the proposal methodologies. / Mestre

Offshore wind turbines have the potential to be an important part of the United States' energy production profile in the coming years. In order to accomplish this wind integration, offshore wind turbines need to be made more reliable and cost efficient to be competitive with other sources of energy. To capitalize on high speed and high quality winds over deep water, floating platforms for offshore wind turbines have been developed, but they suffer from greatly increased loading. One method to reduce loads in offshore wind turbines is the application of structural control techniques usually used in skyscrapers and bridges. Tuned mass dampers are one structural control system that have been used to reduce loads in simulations of offshore wind turbines. This thesis adds to the state of the art of offshore wind energy by developing a set of optimum passive tuned mass dampers for four offshore wind turbine platforms and by quantifying the effects of actuator dynamics on an active tuned mass damper design. The set of optimum tuned mass dampers are developed by creating a limited degree-of-freedom model for each of the four offshore wind platforms. These models are then integrated into an optimization function utilizing a genetic algorithm to find a globally optimum design for the tuned mass damper. The tuned mass damper parameters determined by the optimization are integrated into a series of wind turbine design code simulations using FAST. From these simulations, tower fatigue damage reductions of between 5 and 20% are achieved for the various TMD configurations. A previous study developed a set of active tuned mass damper controllers for an offshore wind turbine mounted on a barge. The design of the controller used an ideal actuator in which the commanded force equaled the applied force with no time lag. This thesis develops an actuator model and conducts a frequency analysis on a limited degree-of-freedom model of the barge including this actuator model. Simulations of the barge with the active controller and the actuator model are conducted with FAST, and the results are compared with the ideal actuator case. The realistic actuator model causes the active mass damper power requirements to increase drastically, by as much as 1000%, which confirms the importance of considering an actuator model in controller design.

Atualmente as estruturas estão sendo avaliadas para um maior número de ações em relação há algumas décadas. Esta melhoria ao longo da fase de concepção é dada devido ao fato de que está se tornando mais competitivo o fornecimento de estruturas leves e esbeltas, sendo solicitados, cada vez mais, projetos com menor custo de implantação. Devido a isto, é necessário avaliar as estruturas não apenas sujeitas a cargas estáticas, mas também a carregamentos dinâmicos. As ações dinâmicas que atuam sobre uma estrutura podem ser muito mais prejudiciais do que as estáticas quando não são bem consideradas e dimensionadas. Ações dinâmicas podem ser provenientes de tremores de terra, vento, equipamentos em funcionamento, deslocamento de pessoas, veículos em movimento, motores desbalanceados, entre outras fontes, o que pode causar vibrações na estrutura, podendo levar a mesma ao colapso. A fim de controlar e reduzir as amplitudes de vibração, entre outras alternativas é possível a instalação de amortecedores de massa sintonizado (AMS), que é um dispositivo de controle passivo. O AMS tem várias vantagens, tais como a grande capacidade de reduzir a amplitude de vibração, fácil instalação, baixa manutenção, baixo custo, entre outras. Para se obter a melhor relação custo-benefício, ou seja, a maior redução de amplitude aliada a um menor número de amortecedores ou a uma menor massa, a otimização dos parâmetros do AMS tornase fundamental. Neste contexto, este trabalho visa, através de simulação numérica, propor um método para otimizar parâmetros de AMSs quando estes devem ser instalados em edifícios submetidos à excitação sísmica. Inicialmente é considerado apenas um único AMS instalado no topo do edifício e em seguida também são feitas simulações com múltiplos AMSs (MAMS), e por fim são descartados os AMSs desnecessários, obtendo assim a melhor resposta da estrutura. Para tanto, uma rotina computacional é desenvolvida em MatLab usando o método de integração direta das equações de movimento de Newmark para determinar a resposta dinâmica da estrutura. Para fins de análise podem ser considerados tanto sismos reais quanto artificiais. Os acelerogramas artificias são gerados a partir do espectro proposto por Kanai e Tajimi. Primeiramente, a estrutura é analisada somente com o seu amortecimento próprio para fins comparativos e de referência. Em seguida, a otimização do ou dos AMSs é feita, na qual a função objetivo é minimizar o deslocamento máximo no topo do edifício, e as variáveis de projeto, são a relação de massas (AMS - Estrutura), rigidez e amortecimento do ou dos AMSs. Para a otimização são utilizados os algoritmos Firefly Algotithm e Backtracking Search Optimization Algorithm. De acordo com as configurações do AMS, após a otimização dos seus parâmetros são determinadas as novas respostas dinâmicas da estrutura. Finalmente, pode-se observar que o método proposto foi capaz de otimizar os parâmetros do ou dos AMSs, reduzindo consideravelmente as respostas da estrutura após a instalação do mesmo, minimizando o risco de dano e colapso do edifício. Desta forma, este trabalho mostra que é possível projetar AMS e MAMS de forma econômica e eficaz. / Currently, structures are being evaluated for a greater number of actions when compared to a few decades ago. This improvement in designing stage is happening because projects providing lightweight and slender structures, with lower implantation costs, are being more requested. Thus, evaluating structures not only subjected to static loads, but also to dynamic loads has become necessary. Dynamic loads acting on a structure are more damaging than static loads, if they are not well considered and dimensioned. Dynamic loads could occur from earthquakes, wind, equipment, movement of people or vehicles, among other sources, which cause vibrations in structures and may lead to a collapse. Tuned mass damper (TMD), a passive control device, can be installed as an alternative to reduce vibration amplitudes. TMD has several advantages, such as large capacity to reduce amplitude of vibration, easy installation, low maintenance, low cost, among others. Optimizing TMD parameters is fundamental for obtaining best cost-benefit relation, i.e., greater amplitude reduction along with lower number of dampers or lower mass. In this context, this study aims at proposing, through numerical simulation, a method for optimizing TMD parameters when installing them on buildings under seismic excitation. Initially, a single-TMD case is considered, then simulations with multiple-TMDs (MTMDs) are run; lastly, unnecessary TMDs are discarded, obtaining the best structural response. For this purpose, a computational routine is developed on MatLab using Newmark direct integration method for equations of motion to determine the dynamic structural response. Both real and artificial earthquakes are considered for purposes of analysis. Artificial accelerograms are generated from proposed Kanai-Tajimi spectrum. First, structure is analyzed only with its own damping for comparison and reference. Second, a single or multiple-TMD optimization is carried out, in which the objective function is to minimize the maximum displacement at the top of the building, and the design variables are modal mass ratio (Structure-TMD), stiffness and damping of a single or multiple-TMD. Firefly and Backtracking Optimization algorithms are used for optimization. According to TMD settings, new dynamic structural responses are determined after optimizing parameters. Finally, the proposed method could optimize parameters of single or multiple-TMDs, considerably reducing structural responses after their installation, minimizing the risk of damage and building collapse. Thus, this study shows the possibility of designing TMDs or MTMDs both economically and effectively.

Les travaux effectués durant cette thèse portent sur l’étude du comportement mécanique dynamique de solutions amortissantes passives utilisées pour la réduction des niveaux vibratoires et la stabilisation des systèmes optroniques embarqués au sein de l’entreprise Thales LAS France. Ces solutions intègrent des matériaux élastomères au fort pouvoir dissipatif dont le comportement doit être parfaitement maîtrisé pour un bon dimensionnement de l’isolation vibratoire, et ce malgré leur dépendance à la température et à la fréquence. L’objectif général est d’améliorer la connaissance du comportement de ces matériaux, leur caractérisation, leur prise en compte dans les simulations numériques afin d’améliorer les pratiques employées dans les bureaux d’études qui conçoivent les structures accueillant ces systèmes.Dans ce cadre, les travaux présentés portent tout d’abord sur la caractérisation, la modélisation et l’identification du comportement viscoélastique des élastomères employés dans des amortisseurs de Thales LAS France. Un modèle de type Maxwell généralisé (GMM) est utilisé pour décrire ce comportement, et est introduit dans un modèle éléments finis de l’amortisseur afin d’obtenir une représentation physique satisfaisante de son comportement mécanique dynamique. Le problème est réécrit sous la forme d’une représentation d’état originale qui est associée à une stratégie de réduction de modèle pour réduire les temps de calcul. Différentes simulations sont alors réalisées pour illustrer le potentiel de l’approche proposée, analyse modale complexe, réponse fréquentielle et réponse temporelle. La température ayant une influence primordiale sur le comportement mécanique des élastomères, un modèle matériau thermomécanique spécifique est proposé en identifiant l’évolution en température de paramètres du GMM, et une analyse de robustesse portant sur la capacité de dissipation de l’amortisseur témoin en présence de méconnaissances sur cette variable est réalisée en se basant sur la théorie Info-Gap.L’analyse d’une campagne d’essais a permis de constater l’apparition d’un assouplissement de la structure sous de fortes sollicitations, laissant augurer la présence de non-linéarités. Un autre aspect abordé durant cette thèse porte ainsi sur la caractérisation, la modélisation et l’identification des phénomènes non-linéaires pouvant impacter le comportement dynamique de l’amortisseur. Deux sources ont été mises en évidence : une non-linéarité matérielle liée à la dépendance des caractéristiques mécaniques des élastomères au taux de déformation (effet Payne), et une non-linéarité de type contact liée à la présence de butées. Ces comportements ont été implémentés dans une représentation réduite de l’amortisseur afin d’expliquer les phénomènes non-linéaires observés expérimentalement au cours des campagnes de qualification du produit.Enfin, la dernière partie de ces travaux de thèse porte sur la conception d’un réseau d’absorbeurs à masses accordées (MTMD) afin de réduire le niveau vibratoire d’une pièce structurale supportant les systèmes optiques. Après une formulation du problème éléments finis, une procédure d’optimisation des paramètres du MTMD est mise en œuvre et une analyse de robustesse de la solution optimale en présence d’incertitudes sur la fréquence propre à contrôler est effectuée. Cette étude est menée pour différents jeux de paramètres et une méthode d’optimisation robuste est proposée en combinant la procédure d’optimisation et la théorie Info-Gap. Pour finir, une maquette du système étudié est réalisée ainsi qu’une version simplifiée de son MTMD associé afin de mettre à l’épreuve les règles d’accordage issues des études numériques grâce à une série d’essais vibratoires. / The work carried out during this thesis deals with the study of the dynamic mechanical behavior of passive damping solutions used for the reduction of vibration levels and the stabilization of embedded optronic systems within Thales LAS France company. These solutions integrate elastomer materials with high dissipative power, whose behavior must be perfectly controlled for a good mechanical dimensioning of vibration isolation, despite their dependence on temperature and frequency. The general objective is to improve the knowledge of these material behavior, the characterization techniques, and the method taking into account this behavior in the numerical simulations in order to improve the practices used in the engineering department that design the structures hosting these systems.In this context, the work presented first focuses on the characterization, the modeling and the identification of the viscoelastic behavior of elastomers used in Thales LAS France damping devices. A Generalized Maxwell Model (GMM) is used to describe this behavior, and is introduced into a finite element model of the damper to obtain a satisfactory physical representation of its dynamic mechanical behavior. The problem is rewritten as an original state space representation that is associated with a model reduction strategy to reduce computation times. Various simulations are moreover performed to illustrate the potential of the proposed approach, such as complex modal analysis, frequency response and temporal response. Since temperature has a major influence on the mechanical behavior of elastomers, a specific thermomechanical material model is proposed by identifying the temperature evolution of GMM parameters, and a robustness analysis on the dissipation ability of the damper in the presence of a lack-of-knowledge on this variable is carried out based on the Info-Gap theory.Experimental test results showed the appearance of a softening of the structure under heavy load, suggesting the presence of non-linearities. Another aspect of this thesis deals with the characterization, the modeling and the identification of non-linear phenomena that can impact the dynamic behavior of the damper. Two sources have been highlighted: a material non-linearity related to the dependence of the mechanical characteristics of the elastomers to the rate of deformation (Payne effect), and a contact non-linearity related to the presence of mechanical stops. These behaviors were implemented in a reduced representation of the damper to explain the nonlinear phenomena observed experimentally during the damping device qualification campaigns.Finally, the last part of this thesis deals with the design of a network of tuned mass absorbers (MTMD) in order to reduce the vibratory level of a structural part supporting optical systems. After a formulation of the finite element problem, a procedure for optimizing the parameters of the MTMD is implemented and a robustness analysis of the optimal solution in the presence of uncertainties on the specific eigenfrequency to be controlled is performed. This study is carried out for different sets of parameters and a robust design optimization method is proposed by combining the optimization procedure and the Info-Gap theory. Finally, a model of the studied system is realized as well as a simplified version of its associated MTMD in order to test the tuning rules resulting from numerical studies thanks to a series of experimental tests.

Current seismic design practice promotes inelastic response in order to reduce the design forces. By allowing the structure to yield while increasing the ductility of the structure, the global forces can be kept within the limited bounds dictated by the yield strength. However, during severe earthquakes, the structures undergo significant inelastic deformations leading to stiffness and strength degradation, increased interstory drifts, and damage with residual drift. The research presented in this thesis has three components that seek to address these challenges. To prevent the inelastic effects observed in yielding systems, a new concept “apparent weakening” is proposed and verified through shake table studies in this thesis. “Apparent weakening” is introduced in the structural system using a complementary “adaptive negative stiffness device” (NSD) that mimics "yielding” of the global system thus attracting it away from the main structural system. Unlike the concept of weakening and damping, where the main structural system strength is reduced, the new system does not alter the original structural system, but produces effects compatible with an early yielding. Response reduction using NSD is achieved in a two step sequence. First the NSD, which is capable of exhibiting nonlinear elastic stiffness, is developed based on the properties of the structure. This NSD is added to the structure resulting in reduction of the stiffness of the structure and NSD assembly or “apparent weakening”-thereby resulting in the reduction of the base shear of the assembly. Then a passive damper, designed for the assembly to reduce the displacements that are caused due to the “apparent weakening”, is added to the structure-thereby reducing the base shear, acceleration and displacement in a two step process. The primary focus of this thesis is to analyze and experimentally verify the response reduction attributes of NSD in (a) elastic structural systems (b) yielding systems and (3) multistory structures. Experimental studies on 1:3 scale three-story frame structure have confirmed that consistent reductions in displacements, accelerations and base shear can be achieved in an elastic structure and bilinear inelastic structure by adding the NSD and viscous fluid damper. It has also been demonstrated that the stiffening in NSD will prevent the structure from collapsing. Analogous to the inelastic design, the acceleration and base shear and deformation of the structure and NSD assembly can be reduced by more than 20% for moderate ground motions and the collapse of structure can be prevented for severe ground motions. Simulation studies have been carried on an inelastic multistoried shear building to demonstrate the effectiveness of placing NSDs and dampers at multiple locations along the height of the building; referred to as “distributed isolation”. The results reported in this study have demonstrated that by placing a NSD in a particular story the superstructure above that story can be isolated from the effects of ground motion. Since the NSDs in the bottom floors will undergo large deformations, a generalized scheme to incorporate NSDs with different force deformation behavior in each storey is proposed. The properties of NSD are varied to minimize the localized inter-story deformation and distribute it evenly along the height of the building. Additionally, two semi-active approaches have also been proposed to improve the performance of NSD in yielding structures and also adapt to varying structure properties in real time. The second component of this thesis deals with development of a novel device to control the response of structural system using adaptive length pendulum smart tuned mass damper (ALP-STMD). A mechanism to achieve the variable pendulum length is developed using shape memory alloy wire actuator. ALP-STMD acts as a vibration absorber and since the length is tuned to match the instantaneous frequency, using a STFT algorithm, all the vibrations pertaining to the dominant frequency are absorbed. ALP-STMD is capable of absorbing all the energy pertaining to the tuned-frequency of the system; the performance is experimentally verified for forced vibration (stationary and non-stationary) and free vibration. The third component of this thesis covers the development of an adaptive control algorithm to compensate hysteresis in hysteretic systems. Hysteretic system with variable stiffness hysteresis is represented as a quasi-linear parameter varying (LPV) system and a gain scheduled controller is designed for the quasi-LPV system using linear matrix inequalities approach. Designed controller is scheduled based on two parameters: linear time-varying stiffness (slow varying parameter) and the stiffness of friction hysteresis (fast varying parameter). The effectiveness of the proposed controller is demonstrated through numerical studies by comparing the proposed controller with fixed robust H∞ controller. Superior tracking performance of the LPV-GS over the robust H∞ controller in different displacement ranges and various stiffness switching cases is clearly evident from the results presented in this thesis. The LPV-GS controller is capable of adapting to the parameter changes and is effective over the entire range of parameter variations.

In this study, the efficiency of linear and rotational tuned mass dampers (TMD) and lever type vibration isolators (LVI) in improving ride comfort is investigated based on a vehicle quarter-car model. TMDs reduce vibration levels by absorbing the energy of the system, especially at their natural frequencies. Both types of TMDs are investigated in the first part of this study. Although linear TMDs can be implemented more easily on suspension systems, rotational TMDs show better performance in reducing vibration levels / since, the inertia effect of rotational TMDs is higher than the linear TMDs. In order to obtain better results with TMDs, configurations with chain of linear TMDs are obtained in the second part of the study without changing the original suspension stiffness and damping coefficient. In addition to these, the effect of increasing the number of TMDs used in the chain configuration is investigated. Results show that performance deterioration at lower frequencies than wheel hop is reduced by using chain of TMDs. In the third part of this study, various configurations of LVIs with different masses are considered and significant attenuation of vibration amplitudes at both body bounce and wheel hop frequencies is achieved. Results show that TMDs improve ride comfort around wheel hop frequency while LVIs are quite efficient around body bounce frequency. Finally, parameter uncertainty due to aging of components and manufacturing defects are investigated.

Atualmente as estruturas estão sendo avaliadas para um maior número de ações em relação há algumas décadas. Esta melhoria ao longo da fase de concepção é dada devido ao fato de que está se tornando mais competitivo o fornecimento de estruturas leves e esbeltas, sendo solicitados, cada vez mais, projetos com menor custo de implantação. Devido a isto, é necessário avaliar as estruturas não apenas sujeitas a cargas estáticas, mas também a carregamentos dinâmicos. As ações dinâmicas que atuam sobre uma estrutura podem ser muito mais prejudiciais do que as estáticas quando não são bem consideradas e dimensionadas. Ações dinâmicas podem ser provenientes de tremores de terra, vento, equipamentos em funcionamento, deslocamento de pessoas, veículos em movimento, motores desbalanceados, entre outras fontes, o que pode causar vibrações na estrutura, podendo levar a mesma ao colapso. A fim de controlar e reduzir as amplitudes de vibração, entre outras alternativas é possível a instalação de amortecedores de massa sintonizado (AMS), que é um dispositivo de controle passivo. O AMS tem várias vantagens, tais como a grande capacidade de reduzir a amplitude de vibração, fácil instalação, baixa manutenção, baixo custo, entre outras. Para se obter a melhor relação custo-benefício, ou seja, a maior redução de amplitude aliada a um menor número de amortecedores ou a uma menor massa, a otimização dos parâmetros do AMS tornase fundamental. Neste contexto, este trabalho visa, através de simulação numérica, propor um método para otimizar parâmetros de AMSs quando estes devem ser instalados em edifícios submetidos à excitação sísmica. Inicialmente é considerado apenas um único AMS instalado no topo do edifício e em seguida também são feitas simulações com múltiplos AMSs (MAMS), e por fim são descartados os AMSs desnecessários, obtendo assim a melhor resposta da estrutura. Para tanto, uma rotina computacional é desenvolvida em MatLab usando o método de integração direta das equações de movimento de Newmark para determinar a resposta dinâmica da estrutura. Para fins de análise podem ser considerados tanto sismos reais quanto artificiais. Os acelerogramas artificias são gerados a partir do espectro proposto por Kanai e Tajimi. Primeiramente, a estrutura é analisada somente com o seu amortecimento próprio para fins comparativos e de referência. Em seguida, a otimização do ou dos AMSs é feita, na qual a função objetivo é minimizar o deslocamento máximo no topo do edifício, e as variáveis de projeto, são a relação de massas (AMS - Estrutura), rigidez e amortecimento do ou dos AMSs. Para a otimização são utilizados os algoritmos Firefly Algotithm e Backtracking Search Optimization Algorithm. De acordo com as configurações do AMS, após a otimização dos seus parâmetros são determinadas as novas respostas dinâmicas da estrutura. Finalmente, pode-se observar que o método proposto foi capaz de otimizar os parâmetros do ou dos AMSs, reduzindo consideravelmente as respostas da estrutura após a instalação do mesmo, minimizando o risco de dano e colapso do edifício. Desta forma, este trabalho mostra que é possível projetar AMS e MAMS de forma econômica e eficaz. / Currently, structures are being evaluated for a greater number of actions when compared to a few decades ago. This improvement in designing stage is happening because projects providing lightweight and slender structures, with lower implantation costs, are being more requested. Thus, evaluating structures not only subjected to static loads, but also to dynamic loads has become necessary. Dynamic loads acting on a structure are more damaging than static loads, if they are not well considered and dimensioned. Dynamic loads could occur from earthquakes, wind, equipment, movement of people or vehicles, among other sources, which cause vibrations in structures and may lead to a collapse. Tuned mass damper (TMD), a passive control device, can be installed as an alternative to reduce vibration amplitudes. TMD has several advantages, such as large capacity to reduce amplitude of vibration, easy installation, low maintenance, low cost, among others. Optimizing TMD parameters is fundamental for obtaining best cost-benefit relation, i.e., greater amplitude reduction along with lower number of dampers or lower mass. In this context, this study aims at proposing, through numerical simulation, a method for optimizing TMD parameters when installing them on buildings under seismic excitation. Initially, a single-TMD case is considered, then simulations with multiple-TMDs (MTMDs) are run; lastly, unnecessary TMDs are discarded, obtaining the best structural response. For this purpose, a computational routine is developed on MatLab using Newmark direct integration method for equations of motion to determine the dynamic structural response. Both real and artificial earthquakes are considered for purposes of analysis. Artificial accelerograms are generated from proposed Kanai-Tajimi spectrum. First, structure is analyzed only with its own damping for comparison and reference. Second, a single or multiple-TMD optimization is carried out, in which the objective function is to minimize the maximum displacement at the top of the building, and the design variables are modal mass ratio (Structure-TMD), stiffness and damping of a single or multiple-TMD. Firefly and Backtracking Optimization algorithms are used for optimization. According to TMD settings, new dynamic structural responses are determined after optimizing parameters. Finally, the proposed method could optimize parameters of single or multiple-TMDs, considerably reducing structural responses after their installation, minimizing the risk of damage and building collapse. Thus, this study shows the possibility of designing TMDs or MTMDs both economically and effectively.

Made available in DSpace on 2014-06-11T19:27:14Z (GMT). No. of bitstreams: 0 Previous issue date: 2008-02-21Bitstream added on 2014-06-13T20:55:56Z : No. of bitstreams: 1 santos_rb_me_ilha.pdf: 887891 bytes, checksum: 9cff877681cee249ea6c3466ef38a6ed (MD5) / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / Este trabalho tem como propósito projetar controladores para aplicação em tempo real em uma estrutura flexível, objetivando a redução de vibração estrutural. Os controladores são projetados segundo o enfoque de otimização convexa, com formulações envolvendo desigualdades matriciais lineares (LMIs). Duas diferentes sínteses de realimentação são consideradas. A primeira é o projeto de controladores por realimentação de estados, estimados por um observador. A segunda metodologia é baseada no controle H∞ via realimentação do sinal de saída. O modelo matemático da estrutura, usado no projeto dos controladores, foi obtido utilizando o método de Lagrange. A estrutura considerada representa um modelo de um edifício flexível controlado por uma massa móvel (Active Mass Damper -AMD) localizada no topo. A estrutura é submetida a dois tipos de excitações, sísmica e senoidal. Uma mesa de vibração (Shake Table) foi usada para aplicar as excitações. Para rodar o experimento de controle foi usado uma placa de aquisição (MultiQ - PCI) e o software de controle Wincon. Os controladores foram desenvolvidos usando o Simulink e executado em tempo real usando o Wincon. Testes experimentais foram realizados para comprovação e avaliação das metodologias propostas. / The proposal of this work is to design real time controllers for application in flexible structure, aiming the structural vibration reduction. The controllers are designed by convex optimization involving linear matrix inequalities (LMIs) approaches. Two different methodologies to feedback the system are explained. The first one is the design controller by state feedback based on observer. The second one is based on H∞ output feedback control. The mathematical model of the structure, used in the controller design, was obtained by Lagrange’s method. The structure can represent a flexible building, and it is controlled by a driving mass located at the top. The structure is submitted to seismic and sinusoidal excitations. A vibration table (Shake Table) was used to apply the excitations. The experimental tests were realized using an acquisition board (MultiQ - PCI) and the Wincon control software. The controllers were developed using Simulink, and it run in real time using the Wincon software. Experimental tests were accomplished to validate and evaluate the proposal methodologies.