Orientador: Marcos Silveira / Resumo: O objetivo deste trabalho é explorar a atenuação da vibração de uma metaestrutura por meio da adição de absorvedores de forma periódica. Além disso é explorada a atenuação da vibração de uma metaestrutura quando um absorvedor com rigidez cúbica não linear é incluído sem aumentar a massa total. As metaestruturas, e especificamente as estruturas periódicas, apresentam características interessantes para atenuação da vibração que não são encontradas em estruturas clássicas. Estas características foram exploradas para aplicações automotivas e aeroespaciais, entre outras, pois estruturas com baixa massa são fundamentais para essas indústrias. Também é desejável manter baixos níveis de vibração em uma ampla faixa de frequência. Foi demonstrado que a adição de absorvedores de vibração em um arranjo periódico pode fornecer atenuação da vibração para entrada de choque sem aumentar a massa total de uma estrutura. Neste trabalho, a resposta dinâmica do sistema proposto é comparada a uma metaestrutura base sem absorvedores e uma metaestrutura com absorvedores lineares para entrada harmônica através da avaliação da norma H2 da resposta em frequência. Um procedimento de otimização é mostrado para encontrar a posição ideal e os coeficientes de rigidez do absorvedor não linear. A resposta dinâmica do sistema ideal é obtida numericamente e mostra que a adição de um absorvedor não linear pode melhorar a atenuação da vibração. / Abstract: The objective of this work is to explore the vibration attenuation of a metastructure by periodically adding absorbers, and the vibration attenuation of a metastructure is explored when a nonlinear cubic stiffness absorber is included without increasing the total mass. Metastructures, and specifically periodic structures, present interesting characteristics for vibration attenuation that are not found in classical structures. These characteristics have been explored for automotive and aerospace applications, among others, as structures with low mass are paramount for these industries, and keeping low vibration levels in wide frequency range is also desirable. It has been shown that the addition of vibration absorbers in a periodic arrangement can provide vibration attenuation for shock input without increasing the total mass of a structure. In this work, the dynamical response of the proposed system is compared to a base metastructure without absorbers and a metastructure with linear absorbers for harmonic input via the evaluation of the H2 norm of the frequency response. An optimisation procedure is shown to find the optimal position and stiffness coefficients of the nonlinear absorber. The dynamical response of the optimal system are obtained numerically, and shows that the addition of one nonlinear absorber can improve vibration attenuation. / Mestre

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<div>The development of novel passive techniques for vibration attenuation and control of broadband energy propagation through structural systems have been a major challenge in various complex engineering applications. These passive attenuation and control methodologies are necessary for the efficient performance of advanced lightweight aerospace and mechanical systems operating under extreme working conditions.</div><div><br></div><div>Acoustic Black Holes (ABH) have rapidly emerged as an effective approach to either dissipate or harvest mechanical energy in vibrating thin-walled structures. The characteristic dimension of an ABH, typically its diameter, is strictly connected to the occurrence of a cut-on frequency value below which the ABH is ineffective in absorbing the incoming wave. From a general perspective, lower the cut-on frequency, larger the ABH diameter needed to absorb the incoming wave. Design and manufacturing constraints of the host structure impose stringent limitations on the maximum ABH diameter and hence, limiting the lowest achievable cut-on frequency. The combination of these factors typically result in the poor energy extraction performance at low frequencies.</div><div><br></div><div>This thesis proposes the concept and explores the performance of an intentional nonlocal design for periodic grids of ABHs embedded in thin plates (referred to as ABH metastructures). The nonlocal design is conceived with the twofold objective of lowering the cut-on frequency of the ABH grids and extending the operating frequency range so as to achieve broadband performance. Different nonlocal designs are presented and their dynamic performances are investigated using numerical models. As opposed to the traditional material nonlocality, this thesis introduces nonlocal effects using an intentionally tailored geometric approach. A secondary layer is connected to the load-bearing ABH metastructure base, whose dynamic properties are sought to be controlled.</div><div><br></div><div>A semi-analytical model is also presented in order to characterize the role of nonlocality on the dispersion behavior and its effect on the broadband dynamic response. In linear elasticity, material nonlocality is mathematically represented by a spatially varying attenuation function. As the nonlocal model developed in this thesis follows geometric nonlocality approach, the required nonlocal attenuation factor is found to have a spatial as well as a temporal dependence. The analytical nonlocal constitutive relations in conjunction with the numerically obtained stress-strain parameters are used to identify the dynamic attenuation factor for the nonlocal ABH metastructure. The results provide substantial theoretical and numerical evidence of the potential of engineered nonlocal ABH design as an efficient ultra-low frequency passive attenuation technique for lightweight structures.</div>

<div>Increasing flexibility of light manipulation is vital for various domains including both biomedical and military applications, where a lack of photon control could become critical. The efforts conducted and projected within this proposal are focused on three major areas: semi-continuous planar thin film photomodification for infrared (IR) filtering, nanosphere core-shell structures for obscurance, and all-dielectric sub-wavelength focal lenses for advanced IR sensing.Through a collaborative effort with the Army Research Office, we advanced the tunability of planar plasmonic filters with cutoff wavelengths in the 10–16μm range with photomodification using a 10.6μm CO2laser. Surface-enhanced molecular absorption in concert with three-dimensional (3D) Au nano-structures with inherent broad absorption in the IR band was a novel approach utilized to create such planar filters.Expanding on these, efforts and the results of the 2-dimensional (2D) semicontinuous Au plasmonic planar filtering, we further advanced our research with 3D Au nano-coreshell structures to enable levitated long-wavelength pass filter obscurants. We exploited the radiative effects of Au nano-structures that mimic conventional apertures or antennas, though these structures are on the nanometer scale and demonstrated the filtering characteristics through flow cell.In parallel with our plasmonic filtering we designed, manufactured and tested low loss dielectric microlenses for IR radiation based on a dielectric metasurface layer by patterning a SI substrate and etching to sub-micron depths. For a proof-of-concept lens demonstration,we chose a fine patterned array of nano-pillars with variable diameters.Merging our plasmonic filtering and dielectric microlens efforts, we created a holographic lenslet by designing and simulating a low loss focusing metasurface lens with engineered nano-scaled features to converge off-axis IR radiation. An array of nano-pillars with varied diameter and fixed height and periodicity was chosen for ease of fabrication with single layer etching</div>