Essa dissertação de mestrado é dedicada ao estudo, desenvolvimento e caracterização da resposta dinâmica de transdutores de deformação mecânica e de temperatura baseados em grades de Bragg inscritas em fibras ópticas (FBG). Como não se encontram referências diretas na literatura da área sobre a caracterização da resposta dinâmica de sensores de temperatura e deformação a FBG, percebeu-se a importância de realizar um trabalho com ênfase nesse aspecto. O desenvolvimento de transdutores FBG de deformação e de temperatura com resposta dinâmica rápida é de grande importância, já que as grades de Bragg são afetadas, de maneira intrínseca, simultaneamente pelas duas grandezas e que existe um amplo leque de aplicações em que uma delas, ou ambas, variam rapidamente. Nesses casos, diferenças em termos de tempos de resposta entre os sensores utilizados para medição de deformação e os usados para compensação de temperatura podem acarretar em erros significativos nas medidas, o que pode até inviabilizar o uso dos sensores a grades de Bragg em tais aplicações. Este trabalho apresenta um compêndio da teoria da tecnologia das FBG para aplicação em sensores ópticos de deformação e de temperatura. Buscando contribuir para o domínio das técnicas de fabricação de sensores a FBG no Brasil, também são apresentados os resultados experimentais da utilização de grades de Bragg inscritas em fibras ópticas fabricadas no laboratório da Subdivisão de Sensores (EFO-S), da Divisão de Fotônica do Instituto de Estudos Avançados (IEAv) do Comando-Geral de Tecnologia Aeroespacial (CTA), como elementos sensores em ensaios de deformação e de temperatura. Os resultados de caracterizações, tanto de FBG produzidas no IEAv quanto de sensores de deformação e de temperatura comerciais das empresas Micron Optics e Fiber Sensing, foram obtidos por meio de três interrogadores diferentes e são comparados e apresentados neste trabalho. Em uma análise realizada dos resultados apresentados de sensores a FBG, utilizados para medição de temperatura e de deformação mecânica em alguns arranjos experimentais, foram observados comportamentos dinâmicos não lineares que apresentam-se como um obstáculos a serem vencidos para a viabilização da aplicação desta técnica à medição desses parâmetros quando os mesmos são rapidamente variáveis. / This dissertation is devoted to the study, development and characterization of the dynamic response of mechanical strain and temperature transducers based on Bragg gratings inscribed in optical fibers (FBG). Since there are no direct references in the literature on the characterization of the dynamic response of FBG based temperature and strain sensors, it was realized the importance of conducting a study with emphasis on this aspect. The development of FBG strain and temperature transducers with fast dynamic response is of great importance, since the Bragg gratings are intrinsically and simultaneously affected by the two quantities and there is a wide range of applications in which one or both quantities vary rapidly. In such cases, differences in response times between the sensors used for measurement of strain and used for temperature compensation can result in significant errors, which may even preclude the use of FBG sensors in such applications. This work presents a compendium of the theory related to FBG technology for application in optical strain and temperature sensors. Seeking to master the techniques of manufacture of the FBG sensors in Brazil, experimental results from the use of FBG manufactured in the laboratory of Sensors Subdivision (EFO-S), of Photonics Division of Institute of Advanced Studies (IEAv) of General Command for Aerospace Technology (CTA) as sensor elements in strain and temperature trials are also presented. The results of both characterizations, of FBG produced in IEAv and strain and temperature commercial sensors, produced by Micron Optics and Fiber Sensing manufacturers, were obtained from three different interrogators and are compared and presented in this paper. In an analysis of the results of FBG sensors used for measuring temperature and mechanical deformation in some experimental arrangements, nonlinear dynamic behaviors were observed. Such behaviors present themselves as an obstacle to be overcome to achieve the feasibility of applying this technique to measurement of these parameters when they are rapidly changing.

Made available in DSpace on 2017-07-10T17:11:52Z (GMT). No. of bitstreams: 1 dissert Final Marcel Araujo.pdf: 10392408 bytes, checksum: 3344b21a2f98d64347dd0aea895a4444 (MD5) Previous issue date: 2013-03-01 / The use of piezoelectric devices to harvest vibration energy has found applications in several areas, especially in structural health monitoring, either to recharge batteries or to directly feed sensors and also electronic devices. In general, the practical use of the energy converted by these devices requires, first, converting the alternating current (AC) produced to direct current (DC). This is normally done by using rectifier circuits. However, modeling the harvesting system, usually a PZT sensor bonded on a cantilever micro-beam and coupled to a rectifier circuit, using the same software package is pointed out by some authors as a drawback to overcome, due to its multidisciplinary requirements, involving topics of both mechanical and electrical engineering. In this sense, the main goal of this dissertation is to describe a comprehensive and simple modeling strategy, which considers a single computational platform and, simultaneously, account for both the electromechanical model of a clamped piezoelectric beam and the practical energy harvesting circuit, seeking ways to facilitate the analysis and design of energy harvesting systems. Numerical simulations and experimental tests are performed to illustrate the proposed approach, considering a full-wave diode bridge as the non-controlled rectifier circuit and a resistive load, which are directly connected to the cantilevered piezoelectric beam. Additionally, experimental tests carried out with a commercial harvesting system are presented, aiming to characterize and compare its performance with a full-wave diode bridge and a resistive circuit, both developed by the author. A single degree of freedom model of this system is also presented. The results showed that the model is suitable to perform simulations of systemshaving the characteristics described in this dissertation and confirmed the need of using active circuits to better use the produced energy. / A utilização de dispositivos piezelétricos para reaproveitamento de energia vibratória tem en- contrado aplicações em várias áreas, sobretudo em monitoramento de integridade estrutural, seja para recarregar baterias ou alimentar diretamente sensores e outros dispositivos eletrôni- cos. Em geral, o uso prático da energia convertida por estes transdutores requer, primeiramente, a transformação da corrente alternada (CA) produzida em corrente contínua (CC). Isto é fre- quentemente obtido por meio da utilização de circuitos retificadores. Entretanto, utilizar o mesmo pacote de software para modelar sistemas de energy harvesting, geralmente compostos por um sensor piezelétrico acoplado em uma microviga e conectados a um circuito retificador, é apontado por alguns autores como um grande desafio a ser superado, pois necessita de requisi- tos multidisciplinares que incluem tópicos de engenharia elétrica e mecânica. Neste sentido, o principal objetivo deste trabalho é apresentar uma estratégia de modelagem simples, que utilize apenas uma plataforma computacional e considere, simultaneamente, os modelos de uma viga piezelétrica e um circuito prático de extração/armazenamento de energia, buscando meios de facilitar a análise e o projeto de sistemas de energy harvesting. Simulações numéricas e testes experimentais são realizados para ilustrar a abordagem proposta, considerando um circuito retificador de onda completa e uma carga resistiva conectados diretamente a uma viga piezelétrica sob condição engastada-livre. Além disso, são apresentados testes experimentais realizados com um sistema comercial de energy harvesting visando caracterizar e comparar seu desempenho frente aos circuitos retificadores de onda completa e resistivo, ambos confeccionados pelo autor. Um modelo de um grau de liberdade deste sistema também é apresentado. Os resultados mostraram que o modelo é adequado para realizar simulações de sistemas que possuam as características descritas neste trabalho e comprovaram a necessidade de se utilizar um circuito ativo para se ter um melhor reaproveitamento da energia gerada.

Resumo: Este trabalho tem como propósito utilizar técnicas de controle robusto para atenuação ativa de vibração mecânica em estruturas acopladas a atuadores e sensores piezelétricos. Os controladores são projetados segundo o enfoque de otimização convexa, com os requisitos envolvendo desigualdades matriciais lineares (LMIs). A proposta é ilustrar duas sínteses diferentes de realimentação via LMIs. A primeira é o projeto de controladores por realimentação de estados, estimados por um observador, considerando incertezas paramétricas do tipo politópicas. A segunda metodologia é baseada no controle H8 via realimentação do sinal de saída, considerando incertezas dinâmicas limitadas por norma. Os sensores/atuadores são posicionados em pontos ótimos utilizando-se a norma H8 como índice de desempenho. Os modelos matemáticos utilizados na síntese dos controladores foram obtidos a partir do método dos elementos finitos considerando o acoplamento eletromecânico entre os atuadores/sensores e a estrutura base ou a partir de métodos de identificação. Neste contexto, este trabalho também discute e exemplifica o algoritmo de realização de autosistemas (ERA). Três exemplos são solucionados para exemplificar a metodologia implementada: uma estrutura tipo placa, uma viga engastada-livre e a supressão ativa de flutter em um aerofólio 2-D, problema de grande interesse na indústria aeronáutica. Os resultados mostraram uma significante atenuação da vibração estrutural na faixa de freqüência de interesse e o atendimento dos requisitos impostos na fase de projeto. / Abstract: The proposal of this work is to use robust control techniques in order to suppress mechanical vibration in structures with pieozoelectric sensors and actuators coupled. The controllers are designed by convex optimization and the constraints are dealt through linear matrix inequalities (LMIs) frameworks. Two different methodologies to feedback the system by using LMIs are explained. The first one is the observer-based state-feedback considering polytopic uncertainties. The second one is the H output feedback control considering norm-bound uncertainties. The sensors/actuators are located in optimal placements by using H norm as performance index. The mathematical models used in the controller design were obtained by finite element methods considering eletromechanical effects between the host structure and piezoelectric sensors/actuators patches or by using identification methods. In this sense, it is also discussed the eigensystem realization algorithm (ERA). Three different applications are proposed and solved in order to illustrate the applicability of the methodology: a cantilever plate; a cantilever beam; and an active flutter suppression in a 2-D airfoil, a problem of considered interest in the aeronautic industry. The results showed the vibration suppression in the bandwidth of interest when submited to the requirements imposed by practical situations. / Orientador: Vicente Lopes Junior / Coorientador: Edvaldo Assunção / Banca: Vicente Lopes Junior / Banca: Marcelo Carvalho Minhoto Teixeira / Banca: Edilson Hiroshi Tamai / Mestre

This study presents the theoretical analysis of an active flutter suppression methodology applied to a smart fin. The smart fin consists of a cantilever aluminum plate-like structure with surface bonded piezoelectric (PZT, Lead- Zirconate-Titanate) patches. A thermal analogy method for the purpose of modeling of piezoelectric actuators in MSC&reg / /NASTRAN based on the analogy between thermal strains and piezoelectric strains was presented. The results obtained by the thermal analogy were compared with the reference results and very good agreement was observed. The unsteady aerodynamic loads acting on the structure were calculated by using a linear two-dimensional Doublet-Lattice Method available in MSC&reg / /NASTRAN. These aerodynamic loads were approximated as rational functions of the Laplace variable by using one of the aerodynamic approximation schemes, Roger&amp / #8217 / s approximation, with least-squares method. These approximated aerodynamic loads together with the structural matrices obtained by the finite element method were used to develop the aeroelastic equations of motion of the smart fin in state-space form. The Hinf robust controllers were then designed for the state-space aeroelastic model of the smart fin by considering both SISO (Single-Input Single-Output) and MIMO (Multi-Input Multi-Output) system models. The verification studies of the controllers showed satisfactory flutter suppression performance around the flutter point and a significant improvement in the flutter speed of the smart fin was also observed.

This research project concerns the construction, testing, and remote health monitoring of the first smart bridge structure in Florida, the East Bay bridge in Gibsonton, Hillsborough County. The East Bay Bridge is a four span, continuous, deck-type structure with a total length of 120' and width of 55'. The superstructure consists of an 18'' cast-in-place reinforced concrete slab, and is supported on pre-stressed pile bents, each consisting of 5 piles. The smart sensors used for remote health monitoring are the newly emerged Fabry --Perot (FP) Fiber Optic Sensors, and are both surface-mounted and embedded in the concrete deck.Static and Dynamic testing of the bridge were performed using loaded SU-4 trucks, and a finite element model for the bridge was developed for the test cases using commercial software packages. In addition, the smart sensors were connected to a data acquisition system permanently installed on-site. This system could be accessed through regular phone lin es, which permits the evaluation of the bridge behavior under live traffic loads.Currently, these live structural data under traffic loading are transmitted to Hillsborough County's bridge maintenance office to assist in the health evaluation and maintenance of the bridge.AASHTO LRFD Design Code has been investigated using analytical and laboratory test but no attempt has been made to verify its relative outlook with respect to Allowable Strength Design (ASD) and AASHTO Standard Specifications (LFD) in a real field test. The likely reason for could have been the lack of accurate and reliable sensing systems.The data collected as well as the analytical studies through out this research, suggest that current LRFD design specifications for deck-type bridges are conservative. The technology developed under this work will enable practical, cost-effective, and reliable systematic maintenance of bridge structures, and the study will provide a unique opportunity for future growth of this tech nology in the state of Florida and in other states and finally, long term collected data can be used to keep the design codes in check.

Orientador: Vicente Lopes Júnior / Banca: Walter Katsumi Sakamoto / Banca: Alberto Luiz Serpa / Resumo: Este trabalho apresenta o projeto do regulador linear quadrático (LQR - do inglês Linear Quadratic Regulator) para atenuar vibrações em estruturas mecânicas. Estas estruturas, com atuadores e sensores acoplados, são denominadas estruturas inteligentes. Os projetos de controladores ativos são resolvidos utilizando desigualdades matriciais lineares (LMIs - do inglês Linear Matrix Inequalities). Assim, é possível projetar controladores robustos considerando incertezas paramétricas na planta a ser controlada. São utilizados atuadores e sensores piezelétricos (PZTs) para aplicações em estruturas flexíveis dos tipos vigas e placas e, também, atuadores de pilha para aplicações em estruturas do tipo treliça. O problema do posicionamento ótimo dos atuadores e sensores piezelétricos também é resolvido utilizando as normas de sistemas H2, H , Hankel e as matrizes grammianas de observabilidade e controlabilidade. O modelo matemático da estrutura inteligente é obtido a partir do Método dos Elementos Finitos e, também, utilizando o Método de Identificação de Subespaços através de dados experimentais. O problema de posicionamento ótimo dos atuadores e sensores e o controle ativo de vibração são apresentados em simulações numéricas e experimentais. Os resultados mostram que os controladores robustos aumentam o amortecimento estrutural minimizando as amplitudes de vibração. / Abstract: This work presents the Linear Quadratic Regulator design to vibration attenuation in mechanical structures. These structures are named Smart Structures because they use actuators and sensors electromechanically coupled. Active controller designs are solved using Linear Matrix Inequalities. So, it is possible to consider polytopic uncertainties. Piezoelectric actuators and sensors are used for applications in flexible structures as beams and plates and, also, stack actuators for applications in truss structures. Optimal placement problem of piezoelectric actuators and sensors also solved using H2, H , Hankel system norms and controllability and observability grammian matrices. The mathematical model of the smart structure is obtained through Finite Element Method and, also, through Numerical State Space of Subspace System Identification (Subspace Method) by experimental data. The optimal placement of actuator and sensor and the active vibration control is numerically and experimentally implemented. Results show that the robust controllers increase the structural damping minimizing magnitude of vibrations. / Mestre

This work is an experimental study of applying an impedance-based health monitoring technique to complex structures. The work is presented in three parts. In the first part we consider effects of the following three factors on damage detection abilities: actuator excitation level, test wire length and ambient conditions (temperature, structural loading and vibration). It was concluded that increasing the applied voltage improves the signal to noise ratio and damage detection abilities. Test wire lengths under 30m do not affect damage detection abilities. The technique is able to distinguish and detect damage even with variations in temperature, structural loading and vibration. In the second part we apply our health monitoring technique to a complex truss structure and a massive steel steam header. We discovered that with multiplexing (acquiring a single signal from distributed actuators) the actuators on the truss structure we could detect damage but with less location information. Damage detection on the steel pipe ended in inconclusive results. The use of this technique on massive structures needs further investigation. Finally, we conducted a detailed experimental study of monitoring the integrity of composite-reinforced masonry structures. We developed a software package which enables even a casual user to determine if significant damage has occurred in these structures. The technique was successfully applied to detect damage (particularly due to delamination) in these composite-concrete structures. Most significantly, the technique was also able to detect damage well in advance of actual failure. This work relies mainly on frequency response plots and damage metric charts to present the data and to arrive at any conclusions. While frequency response plots give a qualitative approach to the analysis, damage metric charts attempt to quantify the data. / Master of Science

A mechatronic system of actuators, sensors, and analog circuits is demonstrated to control the self-excited oscillations known as chatter that occur when single-point turning a rigid workpiece with a flexible tool. The nature of this manufacturing process, its complex geometry, harsh operating environment, and poorly understood physics, present considerable challenges to the control system designer. The actuators and sensors must be rugged and of exceptionally high bandwidth and the control must be robust in the presence of unmodeled dynamics. In this regard, the qualitative characterization of the chatter instability itself becomes important. Chatter vibrations are finite and recognized as limit cycles, yet modeling and control efforts have routinely focused only on the linearized problem. The question naturally arises as to whether the nonlinear stability is characterized by a jump phenomenon. If so, what does this imply for the "robustness" of linear control solutions? To answer our question, we present an advanced hardware and control system design for a boring bar application. Initially, we treat the cutting forces merely as an unknown disturbance to the structure which is essentially a cantilevered beam. We then approximate the structure as a linear single-degree-of-freedom damped oscillator in each of the two principal modal coordinates and seek a control strategy that reduces the system response to general disturbances. Modal-based control strategies originally developed for the control of large flexible space structures are employed; they use second-order compensators to enhance selectively the damping of the modes identified for control. To attack the problem of the nonlinear stability, we seek a model that captures some of the behavior observed in experiments. We design this model based on observations and intuition because theoretical expressions for the complex dynamic forces generated during cutting are lacking. We begin by assuming a regenerative chatter mechanism, as is common practice, and presume that it has a nonlinear form, which is approximated using a cubic polynomial. Experiments demonstrate that the cutting forces couple the two principal modal coordinates. To obtain the jump phenomena observed experimentally, we find it necessary to account for structural nonlinearies. Gradually, using experimental observation as a guide, we arrive at a two-degree-of-freedom chatter model for the boring process. We analyze the stability of this model using the modern methods of nonlinear dynamics. We apply the method of multiple scales to determine the local nonlinear normal form of the bifurcation from static to dynamic cutting. We then find the subsequent periodic motions by employing the method of harmonic balance. The stability of these periodic motions is analysed using Floquet theory. Working from a model that captures the essential nonlinear behavior, we develop a new post-bifurcation control strategy based on quench control. We observe that nonlinear state feedback can be used to control the amplitude of post-bifurcation limit cycles. Judicious selection of this nonlinear state feedback makes a supplementary open-loop control strategy possible. By injecting a harmonic force with a frequency incommensurate with the chatter frequency, we find that the self-excited chatter can be exchanged for a forced vibratory response, thereby reducing tool motions. / Ph. D.

No description available.

The dissertation focuses on one of the major research needs in the area of adaptive /intelligent/smart structures, the development and application of finite element analysis and genetic algorithms for optimal design of large-scale adaptive structures. We first review some basic concepts in finite element method and genetic algorithms, along with the research on smart structures. Then we propose a solution methodology for solving a critical problem in the design of a next generation of large-scale adaptive structures -- optimal placements of a large number of actuators to control thermal deformations. After briefly reviewing the three most frequently used general approaches to derive a finite element formulation, the dissertation presents techniques associated with general shell finite element analysis using flat triangular laminated composite elements. The element used here has three nodes and eighteen degrees of freedom and is obtained by combining a triangular membrane element and a triangular plate bending element. The element includes the coupling effect between membrane deformation and bending deformation. The membrane element is derived from the linear strain triangular element using Cook's transformation. The discrete Kirchhoff triangular (DKT) element is used as the plate bending element. For completeness, a complete derivation of the DKT is presented. Geometrically nonlinear finite element formulation is derived for the analysis of adaptive structures under the combined thermal and electrical loads. Next, we solve the optimization problems of placing a large number of piezoelectric actuators to control thermal distortions in a large mirror in the presence of four different thermal loads. We then extend this to a multi-objective optimization problem of determining only one set of piezoelectric actuator locations that can be used to control the deformation in the same mirror under the action of any one of the four thermal loads. A series of genetic algorithms, GA Version 1, 2 and 3, were developed to find the optimal locations of piezoelectric actuators from the order of 10<SUP>21</SUP> ~ 10<SUP>56</SUP> candidate placements. Introducing a variable population approach, we improve the flexibility of selection operation in genetic algorithms. Incorporating mutation and hill climbing into micro-genetic algorithms, we are able to develop a more efficient genetic algorithm. Through extensive numerical experiments, we find that the design search space for the optimal placements of a large number of actuators is highly multi-modal and that the most distinct nature of genetic algorithms is their robustness. They give results that are random but with only a slight variability. The genetic algorithms can be used to get adequate solution using a limited number of evaluations. To get the highest quality solution, multiple runs including different random seed generators are necessary. The investigation time can be significantly reduced using a very coarse grain parallel computing. Overall, the methodology of using finite element analysis and genetic algorithm optimization provides a robust solution approach for the challenging problem of optimal placements of a large number of actuators in the design of next generation of adaptive structures. / Ph. D.