Orientador: Marcos Silveira / Banca: Paulo José Paupitz Gonçalves / Banca: Fabrício Cesar Lobato de Almeida / Resumo: Neste trabalho, o comportamento dinâmico de um giroscópio do tipo diapasão para recuperação de energia será estudado. O giroscópio consiste em duas vigas verticais engastadas sobre uma massa de suspensão. A massa suspensa é sujeita a força de excitação vertical, e pode-se mostrar que o sistema é um sistema parametricamente excitado. Quando as vigas oscilam em fase, a excitação paramétrica pode levar a vibração no movimento horizontal da massa de suspensão. O problema é particularmente interessante para captação ou recuperação de energia. Devido à interação entre os graus de liberdade do sistema, a energia é transferida a partir da direção vertical à direção horizontal. Estudos paramétricos serão realizados para analisar o comportamento dinâmico do sistema no que se refere ao desempenho de recuperação de energia. Será analisado o impacto da introdução de não linearidades de rigidez e amortecimento para aumentar a eficiência do dispositivo. Será analisada também a existência de regimes periódicos e caóticos, e sua influência na transferência de energia entre as direções vertical e horizontal / Abstract: In this work, the dynamical behaviour of a tuning-fork gyroscope for energy harvesting will be studied. The gyroscope consists of two vertical beams fixed on a suspension mass, which is subject to vertical excitation force. It can be shown that the system is parametrically excited. When the beams oscillate in phase, the parametric excitation can lead to vibration in the horizontal direction. The problem is particularly interesting for energy harvesting. Due to the interaction between the degrees of freedom of the system, energy is transferred from the vertical toward the horizontal direction. Parametric studies will be performed to analyse the dynamical behaviour of the system with respect to energy recovery performance. The impact of the introduction of nonlinear stiffness and damping to increase the device efficiency will be analised. The existence of periodic and chaotic regimes will be investigated, and its influence on the energy transfer between the vertical and horizontal directions / Mestre

Many structural acoustic and vibration designs rely extensively on materials that are light-weight, stiff, and highly damped. Advanced materials such as metallic foams can be engineered to achieve these properties in order to control sound and vibration for a variety of aerospace, maritime, and ground transportation applications. In this work, the structural and acoustic properties of commercially available and digitally designed metallic foams are analyzed through numerical and experimental methods. Furthermore as a post-manufacturing process, metallic foams can be engineered in order to preferentially alter the microstructure and achieve material property enhancements. In this work, the following engineering methods are proposed and investigated: plastic deformation and material saturation. When a metallic foam is plastically deformed, the foam's porosity and pore shape are dramatically altered. This transformation in microstructure can lead directly to changes in bulk properties. In this work, a method for triaxial hydrostatic compression of metallic foams is proposed and demonstrated experimentally. The structural properties of transformed foams are tested using a load cell with digital image correlation. Transformed foams exhibit higher compliance, higher toughness, and a reduced Poisson ratio. Measurement and analysis of acoustic properties indicate that the transformed foams can absorb significantly more sound than the conventional samples of equal thickness in the test range of 0.25 - 4.50 kHz. Due to their open-cell microstructure, metallic foams can be filled with saturating materials. In this work, metallic foams saturated with viscous liquids are investigated for reducing vibration transmissibility in a structure. For the best performing saturated foam subject to a transient excitation, an order of magnitude increase in damping ratio is measured. Additionally, a composite foam (consisting of metallic foam saturated with polyurethane foam) is fabricated to enhance acoustic properties. For the best performing composite foam at normal incidence, the sound absorption coefficient is improved by a factor of 6 near 0.60 kHz and by a factor of 2 up to 4.5 kHz. Lastly, two methods for estimating acoustic absorption in metallic foams are presented which utilize finite element analysis and boundary layer theory. The proposed methods are discussed for commercially available foams as well as for representative digital designs. Limitations and assumptions of the methods pertaining to size scales and boundary layer features are addressed.

Im Fokus dieser Arbeit stehen Dämpfungseffekte schwingfähiger Mikroelektromechanischer Systeme (MEMS), die nach dem kapazitiven Wirkprinzip arbeiten. Die verschiedenen Dissipationsprozesse und die zugehörigen analytischen Modelle sowie numerischen Berechnungsmöglichkeiten auf physikalischer Ebene werden vorgestellt und mit eigenen experimentellen Ergebnissen verglichen. Der Schwerpunkt liegt dabei auf der fluidischen Dämpfung im Kontinuum und bei leichter Verdünnung, was bei den meisten kapazitiven MEMS den dominierenden Verlusteffekt darstellt.:1 Überblick 2 Grundlagen zur Beschreibung von Mikrosystemen 3 Herstellung und Charakterisierung 4 Fluidische Dämpfung 5 Weitere dissipative Effekte mikromechanischer Systeme 6 Zusammenfassung und Ausblick / This thesis focuses on damping effects of vibrational micro-electromechanical systems (MEMS) with capacitive working principle. The different dissipation processes and the associated analytical models as well as numerical calculation possibilities on a physical level are presented and compared to own experimental results. The main emphasis is on fluidic damping in the continuum regime and with slight rarefaction, which is the dominant loss effect in most capacitive MEMS.:1 Überblick 2 Grundlagen zur Beschreibung von Mikrosystemen 3 Herstellung und Charakterisierung 4 Fluidische Dämpfung 5 Weitere dissipative Effekte mikromechanischer Systeme 6 Zusammenfassung und Ausblick

La détection précoce de biomarqueurs de maladies telles que le cancer représente un intérêt majeur dans le processus de traitement. En effet, un diagnostic avancé augmente considérablement les chances de réussite du traitement. En pratique, cela nécessite des outils permettant de détecter rapidement d'infimes quantités de composants biologiques (anticorps, protéines, ADN...) au sein d'échantillons réels tels que du sang ou du sérum.Ces dernières années, les avancées et progrès technologiques en matière de micro et nanofabrication ont permis le développement des Micro et Nano Systèmes Electro-Mécaniques (M/NEMS) dans de nombreux domaines d'application et notamment celui de la détection de masse. Ainsi, des nano-capteurs de masse atteignant des résolutions de l'ordre du yoctogram ($10^{-24}g$), soit la masse d'un seul proton ont été développés. De telles résolutions permettraient d'utiliser ces capteurs à des fins de biodétection. Ces résultats ont cependant été obtenus sous vide ce qui est incompatible avec le monde biologique. Immergés en liquide, les performances des M/NEMS traditionnels sont drastiquement réduites notamment à cause de l'amortissement du au fluide. Un nouveau type de résonateur à base de microdisques optomécaniques résonants a ainsi vu le jour démontrant un fort potentiel pour la détection en milieu liquide. Là où les méthodes classiques de transduction électriques des M/NEMS éprouvent des difficultés en liquide, l'exceptionnelle sensibilité de la transduction optomécanique permet de surmonter ce problème.Dans ce cadre, ces travaux de thèse visent à développer un biocapteur à base de microdisques optomécaniques résonants en silicium pour la détection biologique en milieu liquide. Le design, la fabrication ainsi que la caractérisation complète de ces capteurs est décrite. Enfin, une preuve de concept de détection de virus T5 à une concentration de quelques pM à l'aide de ces microdisques est également présentée. / Early detection of disease's biomarkers such as cancer represents a major interest in the treatment process. Indeed, a diagnosis at an early stage considerably increases the chance of the treatment to be successful. Practically, tools allowing the rapid detection of tiny amount of biological compounds (antibodies, proteins, DNA...) in real samples such as blood or serum are needed.Over the last years, the advances and progresses of micro and nanofabrication techniques have allowed the development of Micro-Nano Electro Mechanical Systems (M/NEMS) in various fields of application including mass sensing. Thus, nano mass sensors reaching resolution down to the yoctogram level, the equivalent of a single proton have been demonstrated. Such resolution limit would theoretically allow these sensors to be used as potential biosensors. These results were nonetheless obtained in vacuum conditions which is incompatible with the biological world. Immersed in fluid, the performance of traditional M/NEMS are drastically degraded mostly due to the large viscous damping. A new type of object in the form of optomechanical microdisk resonators have recently emerged, demonstrating a huge potential for sensing in liquid. While M/NEMS classical electrical or optical transduction methods become very challenging in liquid, the astonishing sensitivity of the optomechanical transduction overcomes this major issue.In this context, this thesis work aims at developing a biosensor based on silicon optomechanical microdisk resonators for biosensing in liquid. Design, fabrication along with the complete characterization of theses devices is described. Eventually, a proof-of-concept of T5 virus detection at the pM level using these microdisks is presented.

The characterization of damping is important in making accurate predictions of both the true response and the frequency response of any device or structure dominated by energy dissipation. The process of modeling damping matrices and experimental verification of those is challenging because damping can not be determined via static tests as can mass and stiffness. Furthermore, damping is more difficult to determine from dynamic measurements than natural frequency. However, damping is extremely important in formulating predictive models of structures. In addition, damping matrix identification may be useful in diagnostics or health monitoring of structures. The objective of this work is to find a robust, practical procedure to identify damping matrices. All aspects of the damping identification procedure are investigated. The procedures for damping identification presented herein are based on prior knowledge of the finite element or analytical mass matrices and measured eigendata. Alternately, a procedure is based on knowledge of the mass and stiffness matrices and the eigendata. With this in mind, an exploration into model reduction and updating is needed to make the problem more complete for practical applications. Additionally, high performance computing is used as a tool to deal with large problems. High Performance Fortran is exploited for this purpose. Finally, several examples, including one experimental example are used to illustrate the use of these new damping matrix identification algorithms and to explore their robustness. / Ph. D.

Present-day builders of harpsichords disagree as to the use of iron or carbon-steel wire in their attempt to duplicate the tonal qualities of the early 16th century instruments. The variations in tone produced by vibrating iron and steel wires may be due, at least in part, to differences in their decay characteristics. A wire was set into vibration by placing a section in a magnetic field and passing a variable-frequency alternating current through it. A condition of resonance was established by appropriately selecting frequencies, lengths, and tensions that would simultaneously satisfy the relationship: fr = n/2L(T/p)1/2. Then measurements of decay time as a function of frequency were made for a variety of typical harpsichord strings: iron, steel, brass, bronze, etc. Samples varied in diameter from 170 mm to 600 mm and the resonant frequencies ranged from 20 Hz to 12,000 Hz. Changes in energy loss through the supports were measured by varying the size and mass of the supports and by modifying the method of attachment of the wire. Differences in loss of energy due to internal friction were noted in the comparison of decay times for different wire materials and diameters. The energy losses due to sound radiation and viscous damping were examined by placing the vibrating wire in a vacuum. Two significant conclusions, among others gathered from the data, indicate that: 1. For similar samples of iron and steel wire vibrating under like conditions, the steel wire will vibrate for a longer period of time than the iron wire. 2. Energy losses to sound radiation and viscous damping greatly exceed all other modes of energy loss from the wire. Suggestions for additional investigations based On the results of this paper are presented in the concluding pages.

Currently, simulation predictions of the Orion Crew Module (CM) dynamics with drogue parachutes deployed are under-predicting the amount of damping as seen in free-flight tests.  The Apollo Legacy Chute Damping model has been resurrected and applied to the Orion system. The legacy model has been applied to predict CM damping under drogue parachutes for both Vertical Spin Tunnel free flights and the Pad Abort-1 flight test.  Comparisons between the legacy Apollo prediction method and test data are favorable.  A key hypothesis in the Apollo legacy drogue damping analysis is that the drogue parachutes' net load vector aligns with the CM drogue attachment point velocity vector.  This assumption seems reasonable and produces good results, but has never been experimentally verified.  The wake of the CM influences the drogue parachutes, which makes performance predictions of the parachutes difficult.  Many of these effects are not currently modeled in the simulations. A forced oscillation test of the CM with parachutes was conducted in the NASA LaRC 20-Ft Vertical Spin Tunnel (VST) to gather additional data to validate and refine the Apollo legacy drogue model.  A second loads balance was added to the original Orion VST model to measure the drogue parachute loads independently of the CM.  The objective of the test was to identify the contribution of the drogues to CM damping and provide additional information to quantify wake effects and the interactions between the CM and parachutes.  The drogue parachute force vector was shown to be highly dependent on the CM wake characteristics.  Based on these wind tunnel test data, the Apollo Legacy Chute Damping model was determined to be a sufficient approximation of the parachute dynamics in relationship to the CM dynamics for preliminary entry vehicle system design.  More wake effects should be included to better model the system. These results are being used to improve simulation model fidelity of CM flight with drogues deployed, which has been identified by the project as key to a successful Orion Critical Design Review. / Master of Science

The purpose of this study is to develop an analytical solution for modal analysis of actively damped orthotropic composite plates in bending and to verify it with experimental analysis. The analytical modal analysis solution for composite plate dynamics is derived using Euler theory. This analysis applies to structures with orthotropic lamina of uniform material properties at any lamination angle. The bending-extensional coupling can be neglected for plates that are symmetric or approximately symmetric, which allows an exact solution for natural frequency and mode shape to be obtained. An exact solution can be found for natural vibration and in general. The active control is modeled analytically by combining the Lagrange equation with the Ritz Assumed Mode method. This analysis produces a generalized coordinate vector that correlates the assumed mode to the particular amplitude of a particular case. The kinetic energy dissipated by the piezoelectric actuator from the system over one oscillation can be calculated from the generalized coordinate vector and the assumed mode. The equivalent damping ratio of the active control system is calculated as the ratio between the kinetic energy absorbed by the piezoelectric actuator from the system in one oscillation and the maximum strain energy of the system during that oscillation. A point mass on the plate, such as an accelerometer mass, can also be modeled as a single layer of uniform mass, that is an isotropic layer, by equating the potential energy of the point mass with the potential energy of the uniform mass layer. It is important to note that the mass of the isotropic layer is frequency dependent, and it has no effect on the plate stiffness. The analytical model is validated by comparison to experimental work. The samples studied were aluminum and composite plates of various lengths. The active control predictions were also validated using previous experimental work completed at California Polytechnic State University in San Luis Obispo. These cases included active control of an aluminum beam with a patch of piezoelectric material and an aluminum sailplane with a patch of piezoelectric material. Results indicate that while the analytical mode solutions are in good agreement with the experimental results, they are also systematically higher than the experimental results. The analytical active control solutions match previous work when the piezoelectric effects are linear. The main result of adding an active control system is approximately a 5-10% increase in modal frequencies and a 200-800% increase of damping ratio.

No / It is important to consider the potential instability of the seabed due to the accumulation of wave-induced pore pressure in the design of a composite breakwater as the pore pressure within the seabed can considerably build-up under waves loading and eventually leads to a sharp decrease of the effective stress. Due to the importance in practical engineering, many theoretical models have been developed to evaluate the magnitude and distribution of the residual pore pressure. However, most of these studies treat the soil skeleton as an invariant medium, which ignores the damping of the soil strength due to the reduction of the effective stress. In this study, a two-dimensional poro-elastoplastic model, in which the influence of the reduction of the effective stress on the soil strength has been considered, is proposed to investigate the accumulation of pore water pressure around a composite breakwater and its effect on the soil characteristics. The simulation results show that the liquefaction is likely to occur around the toe of the breakwater due to the accumulation of pore water pressure there. The liquefaction leads to the decrease of soil resistance, which has great effect on the development of the residual pore pressure. Analysis shows that the development of residual pore pressure is also greatly affected by both the wave height and soil permeability. The simulation demonstrates that if the decrease of soil resistance is not considered, the soil liquefaction depth will be overestimated. / National Natural Science Foundation of China (Grant No. 51479053), the 111 Project (Grant No. B12032), the marine renewable energy research project of State Oceanic Administration (GHME2015GC01), the Natural Science Foundation of Jiangsu province (Grant No. BK20150804), Colleges and Universities in Jiangsu Province Plans for Graduate Research and Innovation Projects (Grant No. B1504708) and the Distinguished Visiting Fellowship from the Royal Academy of Engineering

Methods featured are primarily conformal symplectic exponential time differencing methods, with a focus on families of methods, the construction of methods, and the features and advantages of methods, such as order, stability, and symmetry. Methods are applied to the problem of the damped harmonic oscillator. Construction of both exponential time differencing and integrating factor methods are discussed and contrasted. It is shown how to determine if a system of equations or a method is conformal symplectic with flow maps, how to determine if a method is symmetric by taking adjoints, and how to find the stability region of a method. Exponential time differencing Stormer-Verlet is derived and is shown as the example for how to find the order of a method using Taylor series. Runge-Kutta methods, partitioned exponential Runge-Kutta methods, and their associated tables are introduced, with versions of Euler's method serving as examples. Lobatto IIIA and IIIB methods also play a key role, as a new exponential trapezoid rule is derived. A new fourth order exponential time differencing method is derived using composition techniques. It is shown how to implement this method numerically, and thus it is analyzed for properties such as error, order of accuracy, and structure preservation.