Submitted by Kilvya Braga (kilvyabraga@hotmail.com) on 2018-04-26T13:55:49Z No. of bitstreams: 1 ALAN GONÇALVES PAULO E SILVA - DISSERTAÇÃO (PPGEM) 2016.pdf: 4036442 bytes, checksum: 66c4a790f1155d8ce09ccc484d739542 (MD5) / Made available in DSpace on 2018-04-26T13:55:49Z (GMT). No. of bitstreams: 1 ALAN GONÇALVES PAULO E SILVA - DISSERTAÇÃO (PPGEM) 2016.pdf: 4036442 bytes, checksum: 66c4a790f1155d8ce09ccc484d739542 (MD5) Previous issue date: 2016-02-04 / Capes / A necessidade de controle ou supressão das vibrações surgiu devido aos seus efeitos danosos causados as pessoas, estruturas e elementos de máquinas. Com o passar dos anos, várias técnicas de controle foram criadas e se desenvolvem à medida que a tecnologia avança. Hoje, a utilização de materiais funcionais ou inteligentes, já é utilizada em larga escala em aplicações práticas e nas pesquisas acadêmicas dos maiores centros de tecnologia do mundo. Neste trabalho, temos como objetivo, realizar o controle de vibrações de uma estrutura com dois graus de liberdade do tipo pórtico, utilizando transdutores piezoelétricos associados a circuitos do tipo shunt de capacitância negativa com resistência elétrica em série. Para tal, utilizamos um circuito eletroeletrônico com componentes passivos (resistores, capacitores, indutores) associados a transdutores piezoelétricos QP10W, para produzirmos o circuito shunt de capacitância negativa, implementado através de Conversores de Impedância Negativa (NIC), utilizando amplificadores operacionais. As amplitudes de resposta do sistema nos domínios do tempo e frequência foram analisadas em vibração livre e em vibração forçada, utilizando os resistores que obtiveram o melhor desempenho na dissipação de energia da estrutura, que foram os de 100 Ω e de 150 kΩ. Obtivemos uma redução de 9,01 dB para o primeiro pico de frequência e de 6,95 dB para o segundo pico, em vibração livre. Para o caso de vibração forçada, obtivemos uma redução de 1,5 dB para o primeiro pico de frequência e de 2,19 dB para o segundo pico de frequência, cumprindo assim o objetivo do trabalho pretendido. / The need for control or suppression of vibrations arose due to its harmful effects caused at people, structures and machine elements. With the passage of years, various control techniques were created and develop as technology advance. Today, the use of functional or smart materials is already used on a large scale in practical applications and in academic research of the world's largest technology centers. In this work, our goal is to perform vibration control of a structure with two degrees of freedom portico type using piezoelectric transducers associated with the negative capacitance shunt circuits with electric resistance in series. To do this, we use an electroelectronics circuit with passive components (resistors, capacitors, inductors) associated with piezoelectric transducers QP10W, to produce the negative capacitance shunt circuit, implemented through Negative Impedance Converters (NIC) using operational amplifiers. Response amplitudes of the system in the domains of time and frequency were analyzed in free vibration and forced vibration using the resistors that had the best performance in energy dissipation structure, which were the 100 Ω and 150 kΩ. We obtained a reduction of 9.01 dB for the first peak frequency and 6.95 dB for the second peak in vibration free. In the case of forced vibration, we obtained a reduction of 1.5 dB for the first peak frequency and 2.19 dB for the second peak frequency, thus fulfilling the purpose of the intended work.

Submitted by Danilo Ecidir Budoya (dbudoya.eng@gmail.com) on 2018-04-25T21:17:47Z No. of bitstreams: 1 Dissertação - Danilo Budoya.pdf: 3474646 bytes, checksum: 301f48ae4a6c065e915f91fe3d764dd8 (MD5) / Approved for entry into archive by Minervina Teixeira Lopes null (vina_lopes@bauru.unesp.br) on 2018-04-26T12:29:49Z (GMT) No. of bitstreams: 1 budoya_de_me_bauru.pdf: 3415870 bytes, checksum: 35422f7801e20a052d2c9a303aa7e2dd (MD5) / Made available in DSpace on 2018-04-26T12:29:49Z (GMT). No. of bitstreams: 1 budoya_de_me_bauru.pdf: 3415870 bytes, checksum: 35422f7801e20a052d2c9a303aa7e2dd (MD5) Previous issue date: 2018-04-20 / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / Sistemas de monitoramento de integridade estrutural (SHM – Structural Health Monitoring) são científica e economicamente relevantes como métodos de detecção de danos estruturais em diversos tipos de estruturas, aumentando assim a segurança e reduzindo os custos de manutenção. Entre os vários princípios de detecção de danos, o método da impedância eletromecânica (E/M) baseia-se na medição da impedância elétrica do transdutor piezelétrico fixado à estrutura monitorada. Aqui, a exatidão e precisão do sistema de medição são fundamentais para o diagnóstico correto da estrutura. Portanto, essa dissertação apresenta uma análise comparativa de duas técnicas de medição de impedância para detecção de danos que são tipicamente utilizadas em analisadores de impedância comerciais e em outros sistemas de medição alternativos: medições em estado transitório utilizando um sinal de excitação de varredura e medições em estado estacionário utilizando um sinal senoidal puro para cada frequência de excitação. Os testes foram realizados com cargas resistivas e capacitivas de valores nominais 100 Ω e 10 nF, respectivamente, e com um transdutor piezelétrico fixado em uma barra de alumínio que representa uma estrutura monitorada. As duas técnicas foram comparadas com base na exatidão, precisão, sensibilidade à danos e tempo necessário para as medições. Os resultados destacam as características importantes de cada técnica, as quais devem ser consideradas para o desenvolvimento de sistemas de SHM baseados na impedância e o diagnóstico correto das estruturas monitoradas. / Structural health monitoring (SHM) systems are scientifically and economically relevant as methods of detecting structural damage to various types of structures, thus increasing safety and reducing maintenance costs. Among the various principles of damage detection, the electromechanical impedance (EMI) method is based on the electrical impedance measurement of piezoelectric transducers attached to the monitored structure. Here, the accuracy and precision of the measurement system are fundamental for the correct diagnosis of the structure. Therefore, this dissertation presents a comparative analysis of two impedance measurement techniques for damage detection that are typically used in commercial impedance analyzers and other alternative measurement systems: transient-state measurements using a sweep excitation signal and steady-state measurements using a pure sinusoidal signal for each excitation frequency. Tests were performed with resistive and capacitive loads with nominal values of 100 Ω e 10 nF, respectively, and a piezoelectric transducer fixed to an aluminum bar representing a monitored structure. The two techniques were compared based on the accuracy, precision, sensibility to damage and time required for the measurements. The results highlight the important features of each technique, which should be considered for the development of impedance-based SHM systems and the correct diagnosis of monitored structures. / 2015/23272-1

Thesis submitted in fulfilment of the requirements for the degree Magister Technologiae Electrical Engineering in the Faculty of Engineering at the Cape Peninsula University of Technology Supervisor: Mr. J. Wheeler Co-supervisor: Dr. R.H. Wilkinson Cape Town October 2013 / This report presents the design and development of a five cell multicell inverter for driving a piezoelectric load. The multicell inverter was chosen for this application as it became evident that it would be more suitable for driving piezoelectric transducers due to its high apparent switching frequency. The multicell inverter was designed using DirectFET’s as this type of FET has a high current switching ability in a very small package. A positive and negative bootstrap power supply was incorporated in the design to reduce the number of supplies to power the gate drive circuits of the multicell inverter. Three compensation networks were designed and constructed to investigate which one would transfer the most energy to the piezoelectric transducer. It was also important to investigate whether these compensation networks were able to reduce the harmonic content produced by the multicell inverter. This is necessary in order to excite the transducer correctly. It was found that the Q-Matching compensation network reduced the harmonic content applied to the load the most. Experiments were also conducted to determine if the advantage of the apparent frequency of the multicell inverter would mean that the piezoelectric load could be driven directly with the multicell inverter without any damage to the transducer. It was however required to increase the applied apparent power to the transducer to compensate for the reactive component of the load in order to melt the plastic which was used as the load to the transducer. Experiments were conducted to determine if the charge on the cell capacitors of the multicell inverter would stay balanced while driving a non linear load such as a piezoelectric transducer. The results showed that the voltages stayed balanced when driving the piezoelectric transducer.

Smart sensors have become and will continue to constitute an enabling technology to wirelessly connect platforms and systems and enable improved and autonomous performance. Automobiles have about two hundred sensors. Airplanes have about eight thousand sensors. With technology advancements in autonomous vehicles or fly-by-wireless, the numbers of these sensors is expected to increase significantly. The need to conserve water and energy has led to the development of advanced metering infrastructure (AMI) as a concept to support smart energy and water grid systems that would respond to emergency shut-offs or electric blackouts. Through the Internet of things (IoT) smart sensors and other network devices will be connected to enable exchange and control procedure toward reducing the operational cost and improving the efficiency of residential and commercial buildings in terms of their function or energy and water use. Powering these smart sensors with batteries or wires poses great challenges in terms of replacing the batteries and connecting the wires especially in remote and difficult-to-reach locations. Harvesting free ambient energy provides a solution to develop self-powered smart sensors that can support different platforms and systems and integrate their functionality. In this dissertation, we develop and experimentally assess the performance of harvesters that draw their energy from air or water flows. These harvesters include centimeter-scale micro wind turbines, piezo aeroelastic harvesters, and micro hydro generators. The performance of these different harvesters is determined by their capability to support wireless sensing and transmission, the level of generated power, and power density. We also develop and demonstrate the capability of multifunctional systems that can harvest energy to replenish a battery and use the harvested energy to sense speed, flow rate or temperature, and to transmit the data wirelessly to a remote location. / PHD / Smart sensors are an essential part of planned connected communities, smart cities and buildings, structural health and pollution monitoring, and autonomous systems including air and ground vehicles. For example, these sensors can be used to monitor different buildings functions such as water flow rates, pressure and temperature, smoke detectors, HVAC and fire alarms systems. Most of the current smart sensors are powered by batteries or connected to a power source with wires. Batteries will need to be replaced frequently. Wires will add a cost and weight to the system. On the other hand, energy can be harvested locally from different sources to power these sensors. In this dissertation, we develop and experimentally assess the performance of energy harvesters that draw power from air or water flows. These devices include centimeter-scale micro wind turbines, piezo aeroelastic harvesters, and micro hydro generators. The level of generated power, and power density of these devices and their capability to support wireless sensing and transmission are evaluated. We also develop and demonstrate the capability of using one device to harvest energy to replenish a battery over specified time periods and use the harvested energy and the same device to sense speed, flow rate or temperature, and to transmit the data wirelessly to a remote location over other time periods.

Στο πλαίσιο της εργασίας αυτής πραγματοποιείται ανάλυση και εφαρμογή του διαχωρισμού ακουστικών σημάτων, τα οποία έχουν ληφθεί από το ανθρώπινο σώμα, όταν αυτό βρίσκεται σε κατάσταση ύπνου. Τα σήματα αυτά έχουν ληφθεί με τη βοήθεια μιας συσκευής πιεζοκρυστάλλων και ο διαχωρισμός τους επιτυγχάνεται με τη μέθοδο Ανάλυσης Ανεξάρτητων Συνιστωσών (ICA). Κύριος σκοπός όλων των παραπάνω είναι να χρησιμοποιηθεί η εν λόγω μεθοδολογία στη διάγνωση της αποφρακτικής άπνοιας (OSA). Στο πρώτο κεφάλαιο, παρουσιάζεται αναλυτικά η μέθοδος ICA και το μαθηματικό μοντέλο που την περιγράφει, όπως επίσης και όλα τα βήματα προεπεξεργασίας της. Στη συνέχεια αναλύεται διεξοδικά η λειτουργία του αλγορίθμου FastICA και οι ιδιότητες του, με τον οποίο υλοποιείται το πειραματικό μέρος της εργασίας αυτής. Στο δεύτερο κεφάλαιο, μελετάται η ασθένεια της αποφρακτικής άπνοιας (OSA), οι παράγοντες και η παθολογία της καθώς και το κύριο διαγνωστικό σύμπτωμα της: το ροχαλητό. Ύστερα, πραγματεύεται την διάγνωση και τους γνωστότερους τρόπους θεραπείας αυτής της νόσου και τελικά τη μέθοδο του Snoring Detection. Στο τρίτο κεφάλαιο γίνεται μια εισαγωγή στον πιεζοηλεκτρισμό, και μία μελέτη του πιεζοηλεκτρικού φαινομένου και του μαθηματικού του μοντέλου. Ακολουθεί αναφορά των ειδών πιεζοηλεκτρικών αισθητήρων με τους οποίους λαμβάνονται τα σήματα που εξετάζονται σε αυτή την εργασία. Στο επόμενο κεφάλαιο γίνεται μία σύνδεση των δεδομένων θεωρίας που αναφέρονται στα προηγούμενα κεφάλαια και μία εισαγωγή στην πειραματική μέθοδο. Στο κεφάλαιο πέντε παρατίθενται κάποια παραδείγματα εφαρμογής του αλγορίθμου FastICA με τυχαία σήματα, τα οποία έχουν σκοπό να δοκιμάσουν την απόδοση του. Στο κεφάλαιο έξι, 5 γίνεται η πειραματική διαδικασία όπου τώρα τα σήματα που διαχωρίζονται με τον αλγόριθμο FastICA προέρχονται από το ανθρώπινο σώμα. Η υλοποίηση της γίνεται σε Matlab. Έτσι, γίνεται εξαγωγή του ζητούμενου σήματος ροχαλητού και αναγράφονται κάποια συμπεράσματα για την απόδοση του αλγορίθμου. Στο τέλος της εργασίας παρατίθενται σε ένα παράρτημα όλοι οι κώδικες της MATLAB που χρησιμοποιήθηκαν για την ολοκλήρωση του πειραματικού της μέρους στα κεφάλαια πέντε και έξι. / In this particular thesis, analysis and application of separation of acoustic signals is carried out. These signals have been taken from the human body in a sleeping state. They are obtained by means of a piezocrystallic device and their separation is achieved by the method of Independent Component Analysis (ICA). The main purpose of all this is to use this methodology in order to diagnose the Obstructive Sleep Apnea (OSA). The first chapter presents the method of ICA and the mathematical model that describes it as well as all the pre-processing steps. Then it analyses, in detail, the algorithm FastICA, which is used in the experimental part of this thesis and its properties. The second chapter studies the disease of obstructive sleep apnea (OSA), its factors and its pathology and the major diagnostic symptom: snoring. Then, it discusses the diagnosis and the best known ways of treating this disease and eventually the method of Snoring Detection. The third chapter is an introduction to piezoelectricity and a study of the piezoelectric effect and its mathematical description. This is followed by a reference to the types of piezoelectric sensors which are used to obtain the signals used in this paper. In chapter five we have listed some examplesapplications of the FastICA algorithm with random signals, which are designed to test the performance. Section six is where the experimental procedure takes place. The signals derived from the human body are separated by the algorithm FastICA and the implementation is done in Matlab. In addition, some conclusions regarding the performance of the algorithm. At the end of this paper, all the MATLAB codes used for the completion of the experimental part of the chapters five and six are listed in an Annex.

Transdutores baseados em cascas piezocompósitas têm uma vasta aplicação no campo de estruturas inteligentes, principalmente como atuadores, sensores e coletores de energia. Essas estruturas piezocompósitas são geralmente compostas por dois ou mais tipos de materiais, como por exemplo materiais piezelétricos, ortotrópicos elásticos (possuem fibras de reforçamento) e isotrópicos (materiais homogêneos). Vários fatores devem ser considerados no projeto de transdutores baseados em cascas piezocompósitas, como o tamanho, a forma, a localização e a polarização do material piezelétrico, bem como a orientação das fibras do material ortotrópico. O projeto desses transdutores é complexo e trabalhos anteriores envolvendo esses tipos de materiais sugerem utilizar Método de Otimização Topológica (MOT) para aprimorar o desempenho dos transdutores distribuindo o material piezelétrico sobre substratos fixos de materiais isotrópicos e ortotrópicos, ou otimizar a orientação das fibras dos materiais ortotrópicos com material piezelétrico com tamanho, forma e localização previamente estabelecidos. Assim, nesta tese, propõe-se o desenvolvimento de uma metodologia baseada no MOT para projetar transdutores piezocompósitos de casca considerando, simultaneamente, a otimização da distribuição e do sentido de polarização do material piezelétrico, e também a otimização da orientação das fibras de materiais ortotrópicos, que é livre para assumir valores diferentes ao longo da mesma camada compósita. Utilizando essa metodologia, são obtidos resultados numéricos para atuadores e sensores em regime estático e para coletores de energia com circuito elétrico acoplado, em regime dinâmico amortecido. Para os casos dos sensores e dos coletores de energia, também são consideradas as tensões mecânicas na estrutura, as quais devem obedecer os critérios de von Mises (para materiais isotrópicos) e de Tsai-Wu (para materiais ortotrópicos) para que não haja falhas na estrutura, que está sujeita a esforços mecânicos. / Transducers based on laminated piezocomposite shell structures have a wide application in the field of smart structures, especially as actuators, sensors and energy harvesting devices. These piezocomposite structures are generally composed by two or more kinds of materials, such as piezoelectric, isotropic, and elastic orthotropic (fiber reinforcement) materials. Several factors must be considered in the design of piezocomposite transducers, such as size, shape, location and polarization of the piezoelectric material and the fiber orientation of the orthotropic material. The design of these transducers is complex and previous studies involving these types of materials suggest using \"Topology Optimization Method\" (TOM) to enhance the performance of piezoelectric transducers by distributing piezoelectric material over fixed isotropic and orthotropic substrate or to optimize the fiber orientation of orthotropic materials with piezoelectric patches previously established. Thus, this thesis proposes the development of a methodology based on the TOM to design laminated piezocomposite shell transducers by considering simultaneously the optimization of distribution and the polarization direction of the piezoelectric material, and also the optimization of the fiber orientation orthotropic material, which is free to assume different values along the same composite layer. By using this methodology, numerical results are obtained for actuators and sensors under static response, and energy harvesting devices with an electrical circuit coupled, in dynamic damped analysis. In the case of sensors and energy harvesting devices, which are subjected to mechanical loads, the mechanical stresses in the structure are also considered, which must satisfy two stress criteria to prevent failure: von Mises for isotropic materials and Tsai-Wu for orthotropic materials.

Materiais piezocompósitos laminados são compostos por camadas de material piezelétrico, metálico e compósito (matriz epóxi com fibras de carbono ou de vidro), que possibilitam obter vantagens em relação aos materiais piezelétricos convencionais, permitindo obter características superiores que não podem ser conseguidas pelos seus componentes de forma isolada como, por exemplo, maior flexibilidade e resistência mecânica ou menor peso. Sob esse enfoque, este trabalho tem por objetivo o desenvolvimento de Estruturas Piezocompósitas Laminadas (EPLA) que consistem basicamente em estruturas multicamadas, através do projeto da sua resposta transiente e harmônica visando aplicações dinâmicas. Entre as potenciais aplicações dessas estruturas, tem-se atuadores, motores, sonares e dispositivos de coleta de energia (\"energy harvester\"), sendo de muito interesse a melhora das suas características dinâmicas e o seu desempenho. O projeto dinâmico de uma EPLA é complexo, porém pode ser sistematizado utilizando o Método de Otimização Topológica (MOT). O MOT é um método baseado na distribuição de material num domínio de projeto fixo com o objetivo de extremizar uma função de custo sujeita às restrições inerentes do problema, combinando algoritmos de otimização e de elementos finitos. A formulação de MOT para o projeto dinâmico de EPLA pretende determinar tanto a topologia ótima dos materiais nas diferentes camadas quanto o sinal de polarização do material piezelétrico e o ângulo da fibra na camada compósita, tendo como finalidade a maximização da amplitude de vibração em pontos determinados (em atuadores) ou da geração de energia elétrica a partir de excitações mecânicas (em coletores de energia). Além disso, é formulado um problema combinando os enfoques harmônico e transiente com o intuito de customizar a resposta da EPLA, de modo que, o nível da resposta seja o mesmo perante diferentes tipos de onda de excitação (transdutores multi-entrada). O trabalho inclui as etapas de projeto, simulação, fabricação e caracterização de protótipos. / Laminated piezocomposite materials are composed by layers of piezoelectric, metal and composite material (epoxy matrix with carbon or glass fiber), which have advantages over conventional piezoelectric materials, because of their superior characteristics, which cannot be achieved by any of its components isolated, for example, more flexibility and strength and less weight. Under this approach, this work aims at the development of Laminated Piezocomposite Structures (LAPS) what primarily consist of multi-layer structures, through the transient and harmonic response design aiming at dynamic applications. Among the potential applications of these structures it can be cited actuators, motors, sonar devices and energy harvester, being of great interest the improvement of its dynamic characteristics and performance. The dynamic design of a LAPS is complex however it can be systematized by using the Topology Optimization Method (TOM). The TOM is a method based on the distribution of material in a fixed design domain with the aim of extremizing a cost function subject to constraints inherent to the problem by means of combining the optimization algorithms and the finite element method (FEM). The TOM formulation for the LAPS dynamic project aims to determine together the optimal topology of the materials for different layers, the polarization sign of the piezoelectric material and the fiber angle of the composite layer, in order to maximize the vibration amplitude at certain points (in actuators), or the generation of electrical energy from mechanical excitations (in energy harvesters). In addition, a TOM problem combining harmonic and transient approaches is formulated with the purpose of customizing EPLA response so that the response level is the same for different excitation waveforms (multi-entry transducers). The work includes design, simulation, manufacturing and characterization of prototypes.

Apresentam-se as bases teóricas do Método de Elementos Finitos (MEF) piezoelétrico, e a sua aplicação na modelagem de transdutores de ultra-som piezoelétricos, que consiste na determinação das características vibracionais (frequências de ressonância e anti-ressonância, modos de vibrar e coeficiente de acoplamento eletromecânico), obtenção da curva de admitancia, análise transiente da estrutura piezoelétrica sujeita a uma excitação pulsada e análise da influência da variação das constantes piezoelétricas do transdutor com o raio. Utilizando-se o MEF aplicado a acústica obteve-se o campo acústico gerado pelo transdutor operando em onda contínua, bem como iniciou-se o estudo da propagação de ondas num líquido, analisando-se as ondas geradas pela excitação pulsada de um pistão plano em contato com o fluido. Os modos de vibrar e os valores de frequências de ressonância obtidos para um transdutor, foram comparados com os resultados experimentais. / The theoretical basis of piezoelectric finite element method (FEM), and its application in piezoelectric ultrasonic transducer modelling is presented. Among these applications we have the calculation of resonance and antiresonance frequencies, vibration modes, piezoelectric coupling coefficient, admittance curve and transient analysis of piezoelectric structure excited by a short pulse. By means of piezoelectric FEM the influence of variation of piezoelectric constant with radius is analysed. It is discussed three kind of functions (linear, cosinoidal and Gaussian). This technique is called apodization. The acoustic filed generated by the transducer operating in continuous wave (CW) was calculated by using FEM applied to acoustic, considering the fluid-structure coupling. The study of wave propagation in liquids is started by using FEM, analyzing the waves generated by a plane piston in contact with the fluid, excited by a short pulse. For each case discussed above, all boundary conditions and hypothesis assumed in the construction of finite element models are discussed. Although the models considered are circular transducers, the concepts acquired can be expanded to other geometries. The vibrational modes were visualized by means of a laser interferometry technique (ESPI), and the admittance curves were measured by using an impedometer. These results were compared with the FEM results, and the models precision was discussed.

Apresentam-se as bases teóricas do Método de Elementos Finitos (MEF) piezoelétrico, e a sua aplicação na modelagem de transdutores de ultra-som piezoelétricos, que consiste na determinação das características vibracionais (frequências de ressonância e anti-ressonância, modos de vibrar e coeficiente de acoplamento eletromecânico), obtenção da curva de admitancia, análise transiente da estrutura piezoelétrica sujeita a uma excitação pulsada e análise da influência da variação das constantes piezoelétricas do transdutor com o raio. Utilizando-se o MEF aplicado a acústica obteve-se o campo acústico gerado pelo transdutor operando em onda contínua, bem como iniciou-se o estudo da propagação de ondas num líquido, analisando-se as ondas geradas pela excitação pulsada de um pistão plano em contato com o fluido. Os modos de vibrar e os valores de frequências de ressonância obtidos para um transdutor, foram comparados com os resultados experimentais. / The theoretical basis of piezoelectric finite element method (FEM), and its application in piezoelectric ultrasonic transducer modelling is presented. Among these applications we have the calculation of resonance and antiresonance frequencies, vibration modes, piezoelectric coupling coefficient, admittance curve and transient analysis of piezoelectric structure excited by a short pulse. By means of piezoelectric FEM the influence of variation of piezoelectric constant with radius is analysed. It is discussed three kind of functions (linear, cosinoidal and Gaussian). This technique is called apodization. The acoustic filed generated by the transducer operating in continuous wave (CW) was calculated by using FEM applied to acoustic, considering the fluid-structure coupling. The study of wave propagation in liquids is started by using FEM, analyzing the waves generated by a plane piston in contact with the fluid, excited by a short pulse. For each case discussed above, all boundary conditions and hypothesis assumed in the construction of finite element models are discussed. Although the models considered are circular transducers, the concepts acquired can be expanded to other geometries. The vibrational modes were visualized by means of a laser interferometry technique (ESPI), and the admittance curves were measured by using an impedometer. These results were compared with the FEM results, and the models precision was discussed.

Not available