This thesis explores the effects of two assumptions commonly used in mathematical models related to a piezoelectric damping method known as State Switching. The technique relies on changing the stiffness state of a piezoelectric patch through control of the electrical boundary conditions. The transition between stiffness states is assumed to occur instantaneously and in concurrence with the switch event. In actuality, the transition will occur over a finite time and will trail behind the switch event by a finite time. For these assumptions to be valid, the effects of switch duration and delay on the performance of the State Switching method must be examined. The vibration reduction for various switch duration/delay values was calculated using a numerical solver; the results of the simulations were used to provide a range in which the two aforementioned assumptions produce negligible error, defined here as a 10% decrease in method performance. Switch durations of more than 3% of the forcing period lead to significant performance decrease, for most values of damping and coupling coefficient. Results of the switch delay simulations were counter-intuitive and require further examination and validation.

If a structure is composed mainly of one material but contains a small amount of a second material, and if these two materials have significantly different levels of structural damping, this can increase the cost of solving the modal frequency response problem substantially. Even if the rank of the contribution to the finite element structural damping matrix from the second material is very low, the matrix becomes fully populated when transformed to the modal representation. As a result, the complex-valued modal matrix that represents the structure’s stiffness and structural damping is both full rank, because of the diagonal part contributed by the stiffness, and fully populated, because of off-diagonal imaginary terms contributed by the second material’s structural damping. Solving the modal frequency response problem at many frequencies requires either the factorization of a coefficient matrix at every frequency, or the solution of a complex symmetric eigenvalue problem associated with the modal stiffness/structural damping matrix. The cost of both of these approaches is proportional to the cube of the number of modes included in the analysis. This cost could be reduced greatly if the damping properties of the structure were handled carefully in modeling the structure, but in practical computation of the modal frequency response, the information that could potentially reduce the computational cost is often unavailable. This thesis explores the possibilities of obtaining a representation of the complex modal stiffness/structural damping matrix as a diagonal matrix plus a matrix of minimal rank. An algorithm for computing a “diagonal plus low rank” (DPLR) representation is developed, along with an iterative algorithm for using an inexact DPLR approximation in the solution of the modal frequency response problem. The behavior of these algorithms is investigated on several example problems. / text

No description available.

<div>Modeling methodologies based on state-of-the-art and classic theories of acoustics have been developed to provide a comprehensive toolbox, which can be used to model multilayer systems that involve acoustical and/or damping treatments, and to optimize these treatments' performance by designing their geometrical structures. The objective of this work was to understand, predict and optimize conventional sound absorbing porous media's near-field damping performance, so that automotive and aerospace industries can take full advantage of layered porous treatments' lightness and multi-functionality: i.e., absorption of airborne sound and reduction of structure-borne vibration, for noise control applications. First, acoustical models that include the Transfer Matrix Method and the Arbitrary Coefficient Method were developed to build connections between the bulk properties and acoustical properties of porous media when coupled into layered systems. Given a specified layered system consisting of a vibrating panel and a porous damping treatment, the acoustics models were then incorporated into the Near-field Damping model to predict the acoustical near-field and spatial response of the panel, based on which the near-field damping performance can be evaluated for a limp or an elastic porous layer when applied on different structures including an infinitely-extended panel, a partially-constrained panel, an aircraft fuselage-like structure and a vehicle floor pan-like structure. Furthermore, the relations between the material's microstructural details and bulk properties were established via an Air-Flow Resistivity model for porous media that are made of fibers, and the optimal fiber size that provides the largest damping for certain vibrating structures was identified. Relatively large fibers were found to be better at reducing lower frequency vibrations; fibers made of polymer were found to have manufacturing benefits over fibers made of glass to achieve equivalent optimal damping performance; and elastic fibers were found to have both manufacturing and damping advantages over limp fibers.</div>

Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-03-02T18:44:58Z No. of bitstreams: 1 waldirnemefelippefilho.pdf: 1707784 bytes, checksum: 0148be9b0994a40385d221d87ca55f90 (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-03-06T20:01:57Z (GMT) No. of bitstreams: 1 waldirnemefelippefilho.pdf: 1707784 bytes, checksum: 0148be9b0994a40385d221d87ca55f90 (MD5) / Made available in DSpace on 2017-03-06T20:01:57Z (GMT). No. of bitstreams: 1 waldirnemefelippefilho.pdf: 1707784 bytes, checksum: 0148be9b0994a40385d221d87ca55f90 (MD5) Previous issue date: 2012-02-14 / FAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais / O avanço da tecnologia de materiais e o desenvolvimento de novas técnicas de execução mais sofisticadas permitiram a construção de estruturas mais leves e com elevada capacidade portante. Este processo iniciado durante a revolução industrial se estende até os dias atuais e impôs a necessidade de se verificar, durante a fase de projeto, o comportamento dinâmico das estruturas, com poucas exceções. Apesar disso algumas estruturas apresentam grandes amplitudes de deslocamentos por experimentarem combinações de ações imprevistas. Esta situação indesejada acelera o processo de fadiga dos materiais e em determinadas situações impede o uso da estrutura e/ou equipamentos. Uma forma eficiente de se atenuar as vibrações de uma estrutura é através de sistemas passivos de controle de vibrações via materiais viscoelásticos. Neste sentido, este trabalho abordará o método GHM utilizado na modelagem numérica de materiais viscoelásticos no domínio do tempo via Método dos Elementos Finitos. Com o intuito de validar este método, alguns tipos de elementos finitos formulados através deste método são apresentados e suas respostas no domínio da frequência obtidas para uma determinada estrutura são comparadas com aquelas obtidas pela formulação clássica. São apresentados, também, alguns exemplos de aplicação deste método. São modeladas numericamente vigas sanduíche e um modelo de riser e as frequências naturais e taxas de amortecimento identificadas com os modelos numéricos são comparadas com aquelas identificadas através de ensaios experimentais. / Advances in materials technology and development of new sophisticated construction techniques allowed the construction of lighter structures and with high bearing capacity. This process started during the industrial revolution and extends to present days and imposed the necessity to check, along the design phase, the dynamic behavior of structures, with few exceptions. Despite that, some structures have large amplitudes of displacements under unexpected actions. This unwanted situation speeds up the fatigue of materials and in certain situations prevent the use of the structure and/or equipment. An efficient way to attenuate these vibrations is through passive vibration control systems with viscoelastic materials. In this sense, this work will address the GHM method used in numerical modeling of viscoelastic materials in time domain with Finite Element Method. In order to validate this method, some types of finite elements formulated using this method are presented and their responses in frequency domain obtained for a given structure are compared with those obtained by classical formulation. Are also outlined a few examples using this method. Sandwich beams and a riser model are modeled numerically and the natural frequencies and damping ratios identified with the numerical responses are compared with those identified through experimental tests.

Ce travail de thèse porte sur l'étude de l'influence des micro-perforations sur la réponse vibratoire d'une structure cellulaire de type panneau sandwich NIDA (nid d'abeille). Les réflecteurs d'antenne de satellites placés sur les satellites de télécommunication, comme beaucoup d'autres éléments, sont fabriqués avec ce type de matériaux. Lors du décollage du lanceur pour la mise en orbite du satellite, les sollicitations mécaniques appliquées au système sont de nature acoustique et solidienne. La sollicitation acoustique liée au champ acoustique diffus et de très fort niveau présent dans la coiffe du lanceur est la plus importante. Elle joue un rôle important dans le dimensionnement et la conception du réflecteur d'antenne. L'enjeu de la thèse est d'évaluer le potentiel d'un traitement de ce panneau par micro-perforations pour en réduire les vibrations. L'effet des micro-perforations sur la réponse vibratoire du réflecteur d'antenne est double. D'une part, le chargement acoustique que constitue la pression excitatrice est réduit par un mécanisme d'absorption du à la présence des micro-perforations, couplées aux cavités formées par les cellules NIDA du matériau. Cet effet, connu dans la littérature est décrit notamment par le modèle d'impédance acoustique de D.-Y. Maa, couplé à un modèle d'impédance de la cavité NIDA et prenant en compte les rayonnements interne et externe à la micro-perforation. D'autre part, un effet, de nature vibro-acoustique est induit par le couplage entre les vibrations du panneau et les mouvements acoustiques dans les micro-perforations. La modélisation de cet effet, mal décrit dans la littérature constitue un élément original du travail : un modèle discret construit à partir de l'impédance acoustique d'un orifice permet le calcul d'une force d'amortissement élémentaire, puis, après homogénéisation, à une estimation de l'amortissement modal du panneau micro-perforé. Les modélisations proposées pour la réduction de chargement acoustique et de l'amortissement ajouté par micro-perforation montrent que la réponse vibratoire du panneau est faiblement réduite dans la plage de fréquence d'intérêt, ce que confirment plusieurs tests expérimentaux : comparaison de réponse de panneau micro-perforé ou non en chambre réverbérante et en chambre à bruit. La modification de chargement acoustique apportée par la micro-perforation des deux faces du panneau sandwich NIDA est modélisée dans le dernier chapitre et donne lieu à une augmentation de l'effet dans la gamme de fréquence visée. / This thesis work is about the study of the microperforations influence on the vibratory response of a cellular structure as a honeycomb sandwich panel. Satellites' antenna's reflectors placed on telecommunication satellites, as many satellites' elements, are manufactured in this kind of materials. During the launcher take-off for putting satellite into orbit, the mechanical stresses applied to the system are acoustical and vibration borne stress. The acoustic stress, linked to the high level diffuse acoustic field inside the launcher fairing is the most important. It plays a part in the antenna's reflector size and conception. The issue of the thesis is to evaluate the potential of a treatment using microperforations on this panel in order to reduce its vibration. The microperforations effect on the vibration response of the antenna's reflector is double. On one hand, the acoustic loading applied by the exciter pressure is reduced by an absorption mechanism due to the presence of microperforations, coupled to cavities formed by honeycomb cells. This effect, well known in the litterature, is for instance described by the acoustic impedance model developped by D.-Y. Maa, coupled to an impedance model of honeycomb cavity and taking into account the inner and outer radiations of the microperforation. On the other hand, a vibro-acoustical effect is induced by the coupling between panel vibrations and acoustic movements inside microperforations. The modelling of this effect, not well described in the litterature, constitutes an original element of the thesis work: a discrete model constructed using the acoustic impedance of an orifice, allows the computation of an elementary damping force and then leads, after an homogenisation, to an estimation of the modal damping of the microperforated panel. Both modellings proposed for the acoustic loading reduction and the damping added by microperforations, show that the panel vibration response is weakly reduced in the frequency band of interest, which confirms experimental tests like: response comparison of non microperforated and microperforated panels placed in reverberant room and noise chamber. The acoustic loading modification induced by the microperforation of both sides of the honeycomb sandwich panel is modelling in the thesis last chapter and allows an increase of the effect on the frequency band aimed.

As Civil Engineering structures, e.g., tall buildings, long span bridges, deep water offshore platforms, nuclear power plants, etc., have become more costly, complex and serve more critical functions, the consequences of their failure are catastrophic. Therefore, the protection of these structures against damage induced by large environmental loads, e.g., earthquakes, strong wind gusts and waves, etc., is without doubt, a worldwide priority. However, structures cannot be designed to withstand all possible external loads and some extraordinary loading episodes do occur, leading to damage or even failure of the structure. Protection of a structure against hazards can be achieved by various means such as modifying structural rigidities, increasing structural damping, and by attaching external devices, known as control devices. Control devices can be deployed either to isolate the structure from external excitation or to absorb input seismic energy to the structure (absorber) so as to mitigate vibration in the primary structure. Seismic base isolation is one such mechanism which isolates a structure from harmful ground excitations. Seismic base isolation is a widely accepted and implemented structural control mechanism due to its robustness and ease in deployment. Following the Northridge earthquake (1994), and Kobe earthquake (1995), the interest of structural engineers in understanding near-source ground motions has enhanced. Documents published after these earthquakes emphasized the issue of large base displacements because of the use of none or little isolation damping (of viscous type only) prior to these events. More recent studies have investigated analytically and experimentally, the efficiency of various dissipative mechanisms to protect seismic isolated structures from recorded near-source long period, pulse-type, high velocity ground motions. Consequently, hybrid isolation systems, seismic base isolation supplemented with damping mechanisms, have become the focus of current research trend in structural vibration control. Hybrid base isolation system incorporating passive supplemental damping devices like, viscous fluid dampers, etc., performs satisfactorily in minimizing isolator displacement but at the same time increases superstructure acceleration response. Furthermore, the passive system can be tuned to a particular frequency range and its performance decreases for frequencies of excitation outside the tunning bandwidth. In such a scenario, active control devices in addition to base isolation mechanism provide better performance in reducing base displacement and superstructure acceleration for a broad range of excitation frequencies. Tremendous power requirement and the possibility of power failure during seismic hazards restrict the usage of active systems as a supplemental device. Semi-active devices provide the robustness of passive devices and adaptive nature of active devices. These characteristics make them better suited for structural control applications. The recent focus is on the development of magnetorheological (MR) dampers as semi-active device for structural vibration control applications. MR dampers provide hysteretic damping and can operate with battery power. The thrust of this thesis is on developing a hybrid base isolation mechanism using MR dampers as a supplemental damping device. The use of MR damper as a semi-active device involves two steps; development of a model to describe the MR damper hysteretic behaviour; development of a proper nonlinear control algorithm to monitor MR damper current / voltage supply. Existing parametric models of MR damper hysteretic behaviour, e.g., Bouc-Wen model, fail to consider the effect of amplitude and frequency of excitation on the device. Recently reported literature has demonstrated the necessity of incorporating amplitude and frequency dependence of MR damper models. The current/voltage supply as the input variable to the MR damper restricts the direct use of any control algorithms developed for active control of structures. The force predicted by the available control algorithms should be mapped to equivalent current/voltage and then to be fed into the damper. Available semi-active algorithms in the literature used ‘on-off’ or ‘bang-bang’ strategy for MR applications due to nonlinear current/voltage-force relation of MR damper. The ‘on-off’ nature of these algorithms neither provides smooth change in MR damper current/voltage input nor considers all possible current/ voltage values within its minimum to maximum range. Secondly, these algorithms fail to consider the effect of the MR damper applied and commanded current/voltage dynamics. The thrust of this dissertation is to develop semi-active control algorithms to monitor MR damper supply current/voltage. The study develops a Bouc-Wen based model to characterize the MR damper hysteretic phenomenon. Experimental results and modeling details have been documented. A fuzzy based intelligent control and two model-based nonlinear control algorithms based on optimal dynamic inversion and integral backstepping have been developed. Performance of the fuzzy logic based intelligent control has been explored using experimental investigation on a three storey base isolated building. Further the application of the proposed controllers on a benchmark building; a benchmark highway bridge and a stay cable vibration reduction have been discussed. Experimental study has revealed that the performance of optimal FLC is better than manually designed FLC in terms of reducing base displacement and storey accelerations. The performance of both the FLCs (simple FLC and genetic algorithm based optimal FLC) is better than ‘passive-off’ (zero ampere current supply) and ‘passive-on’ (one ampere current supply) condition of MR damper applications. The ‘passive-off’ results have shown higher base displacements with lower storey accelerations, whereas, the ‘passive-on’ results have reduced base displacement to the least but at the same time increased the storey acceleration too much. The FLC monitored MR damper show a compromise between the two passive conditions. Analytical results confirm these observations. Numerical simulations of the base isolated building with the two model based MR damper control algorithms developed have shown a better performance over FLC and widely used clipped optimal algorithms. The applications of the proposed semi-active control algorithms (FLC, dynamic inversion and integral backstepping) have shown better performance in comparison to that of control algorithms provided with the benchmark studies.

The subject of the thesis is the investigation of asymptotic properties of solutions of the Cauchy problem for structurally damped sigma-evolution operators with time dependent, monotonous, dissipation term. An appropriate energy for solutions of the sigma-evolution equations is defined and some estimates for energies of higher order are proved. In the scale invariant case the optimality of these estimates is shown. Further, the influence of properties of the time dependent dissipation on L^p-L^q estimates for the energy with p and q bigger or equal to 2 and from the conjugate line is clarified. Also smoothing properties of the operators under consideration are investigated. The connection between the regularity of the data and the regularity of the solution in terms of L^2 based Gevrey spaces is considered. Finally, L^1-L^1-estimates in the special case delta = sigma/2 and decreasing dissipative coefficient. / Thema der vorliegenden Dissertation ist die Untersuchung asymptotischer Eigenschaften von Lösungen des Cauchy Problems für strukturell gedämpfte sigma-Evolutions-Operatoren mit zeitabhängigem, monotonen Dissipationskoeffizienten. Es wird eine geeignete Energie definiert und für diese Abschätzungen, auf für entsprechende Energien höherer Ordnung gezeigt. Darüber hinaus wird der Einfluss des Dissipationskoeffizienten auf L^p-L^q Abschätzungen auf und entfernt von der konjugierten Linie untersucht. Im skaleninvarianten Fall wird die Schärfe der Abschätzungen bewiesen. Weiterhin wird der Zusammenhang zwischen der Regularität der Daten und der der Lösung in Termen von L^2-basierten Gevrey-Räumen untersucht. Schließlich werden L^1-L^1-Abschätzungen für den Spezialfall delta = sigma/2 und monoton fallenden Dissipationskoeffizienten gezeigt.

Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-01-16T16:28:17Z No. of bitstreams: 1 waldirnemefelippefilho.pdf: 5861193 bytes, checksum: 8e75fc60830c02857375c1b6cd363132 (MD5) / Approved for entry into archive by Diamantino Mayra (mayra.diamantino@ufjf.edu.br) on 2017-01-31T10:34:29Z (GMT) No. of bitstreams: 1 waldirnemefelippefilho.pdf: 5861193 bytes, checksum: 8e75fc60830c02857375c1b6cd363132 (MD5) / Made available in DSpace on 2017-01-31T10:34:29Z (GMT). No. of bitstreams: 1 waldirnemefelippefilho.pdf: 5861193 bytes, checksum: 8e75fc60830c02857375c1b6cd363132 (MD5) Previous issue date: 2016-08-25 / As estruturas atuais de engenharia civil têm apresentado pronunciado comportamento dinâmico, impondo a necessidade de se veri car, durante a fase de projeto, este comportamento. Apesar dessas veri cações e das recomendações normativas, algumas estruturas apresentam grandes amplitudes de deslocamentos ao experimentarem combinações de ações imprevistas, sendo necessária a aplicação de um sistema para controle de vibrações. Uma forma e ciente de controle destas estruturas é através de sistemas passivos via materiais viscoelásticos (MVE). Modelos determinísticos são numerosos na literatura e conseguem aproximar relativamente bem o comportamento dinâmico de estruturas amortecidas via MVE. Esses modelos, porém, são incapazes de capturar as incertezas associadas, por exemplo, às propriedades mecânicas dos materiais. Uma forma para capturar essas incertezas é através da modelagem não determinística. Neste sentido, este trabalho discutirá a modelagem numérica dos MVE abordando alguns dos fatores que in uenciam o desempenho de modelos numéricos, estratégias para ajuste dos parâmetros que de nem o comportamento dependente da frequência desses materiais e apresentará uma proposta de um modelo não determinístico. Comparam-se as frequências naturais e taxas de amortecimento de vigas sanduíche identi cadas com os resultados obtidos com o modelo proposto e aqueles obtidos através de ensaios experimentais. Pretende-se com este modelo fornecer ao projetista, ao invés de um único valor para os parâmetros modais da estrutura e deslocamentos, uma representação probabilística. / The current civil engineering structures have shown pronounced dynamic behavior, imposing the need to check, during the design phase, this behavior. Despite these veri cations and normative recommendations, some structures experience large amplitudes of displacements under unexpected actions, then a vibration control system is required. An e cient way to control these structures is through passive vibration control systems with viscoelastic materials (VEM). Deterministic models are numerous in literature and they present fairly good approximations for the dynamics behavior of structures damped with VEM. These models however are unable to capture uncertainties associated, for instance, with the mechanical properties of materials. One way to capture these uncertainties is through non-deterministic models. Thus, this thesis discusses the numerical modeling of MVE addressing some of the factors that in uence the performance of numerical models, some strategies to adjust the parameters that de ne the frequency dependent behavior of these materials and present a proposal for a non-deterministic model. The aim of this model is provide to the designer, rather than a single value for the structures modal parameters and displacements, a probabilistic representation.

In wind turbines, flow pressure variations on the air-structure interface cause aerodynamic forces. Consequently the structure deforms and starts to move. The interaction between aerodynamic forces and structural deformations mainly concerns aeroelasticity. Since these two are coupled, they have to be considered simultaneously in cases which the deformations are not negligible in comparison to the other geometric dimensions. The purpose of this work is to improve the simulation model of a vertical axis wind turbine by modifying the structural model from undamped Euler-Bernoulli beam theory with lumped mass matrix to the more advanced Timoshenko beam theory with consistent mass matrix plus an additional damping term. The bending of the beam is then unified with longitudinal and torsional deformations based on a fixed shape cross-section assumption and the Saint-Venant torsion theory. The whole work has been carried out by implementing the finite element method using MATLAB code and implanting it in a previously developed package as a complement. Finally the results have been verified by qualitative comparisons with alternative simulations.