Automotive engine mounts are used to support engine weight, protect engine from road inputs and isolate transmission of vibrations created by the engine, which has a drastic effect on the noise generated inside the passenger cabin. Most common types of engine mounts are elastomeric and hydraulic mounts, the former having better vibration isolation characteristics whereas the latter displays better shock isolation. Elastomeric mounts are widely used for their low initial cost, while hydraulic mounts with inertia track and decoupler are chosen for their good vibration isolation and shock excitation characteristics. However, hydraulic mounts with inertia track and decoupler are not appropriate for small segment and commercial vehicles due their high initial cost. In this thesis, the effect of the addition of a dry friction damper on the performance of elastomeric automobile engine mounts is investigated. Friction dampers are used to attenuate vibration amplitudes in many applications such as gas turbine engines, railway vehicles, space structures and civil buildings. In this study, a friction element is added to the engine mount at its axial direction and its effect is studied. Results show that, the addition of dry friction damping to the original system increases vibration isolation performance significantly at low frequencies / whereas, due to the increased stiffness of the system, at high frequencies dry friction damper has a mitigating effect on performance. In order to overcome this problem, original system parameters are modified. In the modified system a softer mount that increase vibration isolation performance at high frequencies / but, which might cause excessive static deflection due to reduced stiffness of the system is used. On the other hand, addition of dry friction damping prevents excessive static deflections due to the increased stiffness effect and also increases the performance at high frequencies due to the soft mount. Final results showed that vibration isolation performance at low frequencies increases considerably while vibration isolation performance at high frequency is similar and even slightly better than the original system with addition of dry friction damping.

There are many active and passive vibration control techniques to reduce the effect of energy on structures which emerges during an earthquake and reduce the displacement of buildings that is caused by ground acceleration. Main advantage of passive vibration control techniques over active vibration control techniques is / no external power or a sensor is required for passive vibration control devices (PVCDs) and it results in lower installation and maintenance costs. However, PVCDs require a predefined optimum damping ratio and optimum damping distribution along the structure since they are not adaptive to changing ground acceleration values. During the design of the PVCDs numerous factors such as building properties and earthquake characteristics should be considered. Dry friction damper is an example of PVCD and has an extensive usage in many different fields due to its high energy damping capacity with low cost and ease of installation. In this thesis, damping of seismic energy at buildings with dry friction dampers is investigated and a new optimization method is developed in frequency domain by employing Describing Function Method (DFM) which reduces the computational effort compared to the time domain and finite element solutions drastically. The accuracy and verification of the presented method is investigated by comparing the frequency domain results with time marching solutions. Furthermore, damper placement and slip forces on the dampers are optimized for single and multi-story buildings equipped with dry friction dampers by utilizing the developed method.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In the present work the effect of a dry friction damper device on the dynamic behavior of vibratory systems is analyzed. Two friction devices are designed consisting of a sphere in contact with a flat steel bar. In the first prototype the normal force on the contact is kept constant. In the second device a piezoelectric actuator is used to vary the intensity of the normal force. An experimental methodology is developed to analyze the dynamic behavior of a vibratory system and to identify the physical properties of the friction damper devices. The mathematical-computational models of the two friction dampers are used to perform simulations with a vibratory system, in order to analyze the influence of the variation of the normal contact force on the behavior of the vibratory system and to evaluate the dissipation of vibrational energy. In the first damper, an experimental methodology is used to identify the behavior of friction force induced on the vibratory system, and also to identify nonlinearities due to friction Frequency response is used to identify the structural frequencies generated by the device, as well the operational band of the damper device with constant normal force. The time domain vibratory system response is used to identify the Coulomb friction model. The second damper is designed by finite element method. Experimental analysis of the device is applied to identify the parameters that define the static and dynamic behavior of the damper with variable normal load, The frequency response is used to identify the structural frequencies generated by the device, as well it s effective operational band.. Another experiment evaluates the effect of the normal contact force variation on the dynamic response of a vibratory structure. The vibratory system response is identified using Coulomb friction models. Finally, numerical simulations are used to evaluate the effect of the normal contact variation, generated by a semi active control, on the vibratory system dynamic behavior. The vibration attenuation and the power demand of the piezoelectric actuator .are evaluated. / Neste trabalho é analisado o efeito de amortecedores de atrito seco sobre o comportamento dinâmico de um sistema vibratório de um grau de liberdade São projetados dois dispositivos de atrito constituídos por uma esfera em contato com um barra plana de aço. No primeiro protótipo a força normal no contato é mantida constante. No segundo dispositivo é utilizado um atuador piezelétrico para variar a intensidade da força normal. É desenvolvida uma metodologia experimental para analisar o comportamento dinâmico do sistema vibratório e identificar as propriedades físicas dos amortecedores de atrito. Os modelos matemáticos-computacionais dos dois amortecedores de atrito são usados para realizar simulações com um sistema vibratório, com a finalidade de analisar a influência da variação da força normal de contato sobre o comportamento do sistema vibratório e avaliar a capacidade de dissipação da energia vibratória. No primeiro amortecedor mediante uma metodologia experimental, é possível identificar o comportamento da força de atrito induzida ao sistema dinâmico, são identificadas também as não linearidades devidas ao atrito. Na resposta em frequência é possível identificar as frequências estruturais geradas pelo dispositivo, assim como a banda de atuação do amortecedor de força normal constante. Por ultimo é identificada a resposta do sistema dinâmico no domínio do tempo, mediante os modelos Coulomb do atrito. Para o segundo amortecedor é apresentado a analise estática dos elementos constituintes via um estudo em elementos finitos. Métodos de analise experimental aplicados para identificar os parâmetros que determinam o comportamento estático e dinâmico do amortecedor de carga normal variável. Na resposta em frequência é possível identificar as frequências estruturais geradas pelo dispositivo, assim como também, a banda de atuação do amortecedor de força normal variável. Em uma segunda fase experimental, avaliam-se os efeitos da variação da força normal no contato, na resposta dinâmica da estrutura vibratória e determina-se o comportamento da força do amortecedor, assim como também se identifica a resposta do sistema, com os modelos de atrito de Coulomb. Finalmente, é avaliada numericamente o efeito do ajuste da força normal do contato, mediante um controle semiativo., Verifica-se a eficiência do controle sobre a vibração da estrutura .e sobre o consumo de potência do atuador piezelétrico. / Mestre em Engenharia Mecânica

Cette étude porte sur la simulation dynamique de structures présentant des interfaces non linéaires et plus particulièrement sur le développement de diverses extensions à la méthode de balance harmonique. Cette méthode, qui permet le calcul de réponses vibratoires stationnaires, est basée sur l’approximation en série de Fourier tronquée de la réponse. En fonction de caractère plus ou moins non linéaire de la réponse, le nombre d’harmoniques à retenir pour approcher de façon satisfaisante la réponse peut être important et varier fortement sur l’ensemble de la plage de fréquence de simulation. Un des objectifs principaux de cette recherche a été de proposer une stratégie de calcul qui permette d’adapter le nombre d’harmoniques à chaque fréquence. Dans l’optique d’approcher le mouvement global de la structure, la méthodologie proposée se base sur le suivi de l’énergie de déformation du système en fonction de la richesse du contenu fréquentiel. La formulation développée reste simple à calculer et compatible avec les étapes de condensation interne à la méthode de balance harmonique. L’extension de cette technique au calcul de réponses quasi-stationnaires est en outre possible en redéfinissant les stratégies de choix des harmoniques à retenir. Parallèlement à ce but principal, la présence de variables internes dans les modèles non linéaires d’interface (modèle de frottement par exemple) a été prise en compte dans la formulation des équations de la balance harmonique adaptative. Ces méthodes spécifiques ont ensuite été mises en oeuvre sur des modèles numériques de structures aéronautiques. Un isolateur d’équipement utilisant un matériau viscoélastique non linéaire a ainsi pu être simulé. Ensuite, la méthode de balance harmonique adaptative a pu être appliquée à l’étude des effets dynamiques non linéaires observée sur les structures boulonnées. Enfin, le calcul de réponses quasi périodiques s’est effectué sur un tronçon de lanceur intégrant des amortisseurs à frottement sec. / The study deals with the dynamic simulation of structures with non linear interfaces and particularly with the development of various extensions of the harmonic balance method. This method, applied for steady state vibrations, is based on the response approximation with a truncated Fourier series. Depending on the more or less pronounced non linear response behavior, the number of harmonics to retain to correctly approach the response may be important and may strongly vary over all the frequency band. One of the main objectives of this research work has been to propose a calculation strategy which allows adapting the number of harmonics for each frequency. In order to globally approach the structure vibration, the proposed methodology basics is to observe the strain energy evolution functions of frequency contents. The developed formulation is easy to calculate and may be employed with internal reduction steps of the harmonic balance method. Moreover, an extension of this technique for quasi-periodic vibrations is possible by redefining harmonic choice strategies. In conjunction with this main objective, internal variables in non linear interface models (friction models for example) have been considered in a specific adaptive harmonic balance method formulation. Then, these specific methods have been applied on numerical aeronautical structure models. An equipment isolator integrating a non linear viscoelastic material has been simulated. Secondly, adaptive harmonic balance method has been employed for the study of non linear dynamic effects of bolted structures. Finally, quasi periodic vibration calculation has been carried out on a launcher stage integrating dry friction dampers.