Dans de nombreuses applications industrielles, les structures en vibration à dimensionner sont en contact avec un fluide (fluide autour des coques des bateaux, réservoirs, échangeurs de chaleur dans les centrales, l’industrie automobile, etc). Cependant, le comportement dynamique de la structure peut être modifié de façon importante par la présence du fluide. Le dimensionnement doit donc prendre en compte les effets de l’interaction fluide-structure.Ces applications nécessitent un couplage efficace. En outre, l’analyse dynamique des systèmes industriels est souvent coûteuse du point de vue numérique. Pour les modèles éléments finis des problèmes couplés fluide-structure, l’importance de la réduction de la taille devient évidente car les degrés de liberté du fluide seront ajoutés à ceux de la structure. Des méthodes de réduction du modèle seront utilisées pour réduire la taille des matrices obtenues.Traditionnellement, l’étude de ces systèmes couplés est fondée sur une démarche déterministe dans laquelle l’ensemble des paramètres utilisés dans le modèle prennent une valeur fixe.Par contre, il suffit d’avoir procédé à quelques expérimentations pour se rendre compte des limites d’une telle modélisation, d’où la nécessité de la prise en compte des incertitudes sur les paramètres du système couplé.Ce travail de thèse s’articule autour de trois études principales. La première consiste à mener une étude déterministe numérique et analytique des problèmes vibro-acoustiques sans réduction de modèles. Cette dernière est basée sur une formulation non symétrique déplacement/pression et une formulation symétrique déplacement/pression et potentiel des vitesses. Dans la deuxième étude, on propose deux méthodes de réduction du modèle : analyse et synthèse modales pour la résolution des problèmes vibro-acoustiques des grandes tailles des systèmes couplés modélisés par la méthode des éléments finis. La méthode de synthèse modale développée couple une méthode de sous-structuration dynamique de type Craig et Bampton et une méthode de sous domaines acoustiques.Enfin, pour tenir compte des incertitudes sur les paramètres du système couplé, on a développé dans la troisième étude une méthode numérique stochastique de synthèse modale étendue à une étude de fiabilité basée sur les approches FORM et SORM pour la résolution de ces problèmes. Ces démarches vont nous permettre de résoudre les problèmes vibro-acoustiques, sans utiliser les méthodes classiques, qui consistent à faire un calcul modal direct allié à la simulation de Monte Carlo demandant un coup de temps très élevé.Plusieurs exemples académiques et industriels ont été traités pour valider les approches proposées.L’étude numérique est conduite en utilisant un code élaboré sous MATLAB couplé au code commercial ANSYS afin d’évaluer la fiabilité du système couplé. La confrontation des résultats numériques, analytiques et expérimentaux nous permet de valider conjointement le processus de calcul et les méthodes proposées dans le domaine de l’analyse fréquentielle et l’étude fiabiliste des structures immergées. D’un point de vue industriel, ces méthodes visent à promouvoir l’introduction de la culture de l’incertain dans les métiers de la conception et encouragent la construction d’un modèle fiable et robuste pour les problèmes d’interaction fluide-structure. / In several industrial applications, the vibrating structures are in contact with a fluid (fluid around the hulls of a boats, reservoirs, heat exchangers in power plants, ...), but the dynamic behavior of the structure can be significantly modified by the presence of the fluid. The sizing must take into account the effects of fluid-structure interaction. These applications require an effective coupling. In addition, the dynamic analysis of the industrial systems is often expensive from the numerical point of view. For the coupling fluid structure finite elements models, the importance of the size reduction becomes obvious because the fluid’s freedom degrees will be added to those of the structure. A proposed condensation method will be used to reduce the matrixes size. Traditionally, the study of the fluid-structure interaction is based on a deterministic approach where all the parameters used in the model have a fixed value. But it suffices having conducted a few experimentations to realize the limitations of such modeling. Hence it need to take into accounts the uncertainty on the parameters of mechanical systems. In this thesis, we deal with the simulation of vibro-acoustic problems. The first part presents a numerical and analytical study of deterministic problems without model’s reduction, based on a non-symmetric formulation displacement/pressure and on a symmetric formulation displacement/pressure and velocity potential. In the second part of this work, two methods are proposed to reduce the model : modal analysis and modal synthesis for solving vibro-acoustic problems of large sizes modeled by finite elements method. The developed modal synthesis method is coupling dynamic substructure of Craig and Bampton type and acoustic subdomain based on a pressure formulation. To take into account the parameter’s uncertainties of the coupled system, we have developed a numerical stochastic method of the modal synthesis and modal analysis extended to reliability study, based on the FORM and SORM approaches. These approaches will allow us to solve the vibro-acoustic problems without using classical procedure. It may become prohibitive in terms of computation time. Several academic and industrial examples are studied to validate the proposed methods. The numerical study is performed using a code developed with MATLAB coupled with the commercial code ANSYS in order to evaluate the reliability of systems. The comparison of numerical, analytical and experimental results enables us to jointly validate the calculation process and the proposed methods in the domain of frequency analysis and reliability study of submerged structures. From the industrial point of view, our research work aim is to promote the introduction of the uncertainty’s culture during modeling in the context of design processes.

Ce travail de thèse porte sur l’analyse robuste et l’optimisation fiabiliste des problèmes vibro-acoustiques (ou en interaction fluide-structure) en tenant en compte des incertitudes des paramètres d’entrée. En phase de conception et de dimensionnement, il parait intéressant de modéliser les systèmes vibro-acoustiques ainsi que leurs variabilités qui peuvent être essentiellement liées à l’imperfection de la géométrie ainsi qu’aux caractéristiques des matériaux. Il est ainsi important, voire indispensable, de tenir compte de la dispersion des lois de ces paramètres incertains afin d’en assurer une conception robuste. Par conséquent, l’objectif est de déterminer les capacités et les limites, en termes de précision et de coûts de calcul, des méthodes basées sur les développements en chaos polynomiaux en comparaison avec la technique référentielle de Monte Carlo pour étudier le comportement mécanique des problèmes vibro-acoustique comportant des paramètres incertains. L’étude de la propagation de ces incertitudes permet leur intégration dans la phase de conception. Le but de l’optimisation fiabiliste Reliability-Based Design Optimization (RBDO) consiste à trouver un compromis entre un coût minimum et une fiabilité accrue. Par conséquent, plusieurs méthodes, telles que la méthode hybride (HM) et la méthode Optimum Safety Factor (OSF), ont été développées pour atteindre cet objectif. Pour remédier à la complexité des systèmes vibro-acoustiques comportant des paramètres incertains, nous avons développé des méthodologies spécifiques à cette problématique, via des méthodes de méta-modèlisation, qui nous ont permis de bâtir un modèle de substitution vibro-acoustique, qui satisfait en même temps l’efficacité et la précision du modèle. L’objectif de cette thèse, est de déterminer la meilleure méthodologie à suivre pour l’optimisation fiabiliste des systèmes vibro-acoustiques comportant des paramètres incertains. / This PhD thesis deals with the robust analysis and reliability optimization of vibro-acoustic problems (or fluid-structure interaction) taking into account the uncertainties of the input parameters. In the design and dimensioning phase, it seems interesting to model the vibro-acoustic systems and their variability, which can be mainly related to the imperfection of the geometry as well as the characteristics of the materials. It is therefore important, if not essential, to take into account the dispersion of the laws of these uncertain parameters in order to ensure a robust design. Therefore, the purpose is to determine the capabilities and limitations, in terms of precision and computational costs, of methods based on polynomial chaos developments in comparison with the Monte Carlo referential technique for studying the mechanical behavior of vibro-acoustic problems with uncertain parameters. The study of the propagation of these uncertainties allows their integration into the design phase. The goal of the reliability-Based Design Optimization (RBDO) is to find a compromise between minimum cost and a target reliability. As a result, several methods, such as the hybrid method (HM) and the Optimum Safety Factor (OSF) method, have been developed to achieve this goal. To overcome the complexity of vibro-acoustic systems with uncertain parameters, we have developed methodologies specific to this problem, via meta-modeling methods, which allowed us to build a vibro-acoustic surrogate model, which at the same time satisfies the efficiency and accuracy of the model. The objective of this thesis is to determine the best methodology to follow for the reliability optimization of vibro-acoustic systems with uncertain parameters.

Cette thèse porte sur l’optimisation du contrôle des Machines Synchrones à Réluctance Variable (MSRV) et en particulier sur la compensation des phénomènes vibratoires. Elle comprend trois points forts : le développement d’une méthode de minimisation des pulsations de couple et sa validation expérimentale, l’études des facteurs qui peuvent influencer la méthode et l’influence de cette méthode sur les autres performances de la MSRV.Tout d’abord, une méthode de contrôle permettant de compenser les ondulations de couple d’une MSRV existante a été développée. Premièrement, une équation analytique du couple est proposée et analysée afin d’exprimer la relation analytique harmonique entre le couple et les courants d’alimentation. La notion de « fonction de couple » est ensuite introduite. Une stratégie basée sur l’utilisation de cette fonction pour minimiser les ondulations du couple est présentée. Deux méthodes de réduction des ondulations de couple utilisant les différents harmoniques de la fonction de couple sont mises en évidence en. Elles ont été analysées et comparées pour répondre aux différents objectifs. Par la suite, la méthode a été validée par les résultats des simulations pour trois technologies de rotor de MSRV parmi les plus répandues. La méthode est aussi validée par la modélisation analytique et la simulation dynamique à l’aide du logiciel Matlab/Simulink ainsi que par les résultats d’expérimentation avec l’aide du banc d’essai.Ensuite, les facteurs qui peuvent influencer la méthode proposée pour réduire les ondulations de couple et les performances dynamiques ont analysés. Dans un premier temps, une amélioration sensible de l’aptitude au démarrage de la MSRV lorsque la compensation des ondulations de couple est mise en œuvre est mise en évidence. D’autre part la sensibilité de la méthode aux erreurs de mesure de position est évaluée afin de quantifier sa fiabilité dans le cas de l’utilisation d’estimateurs lors du contrôle sans capteur. Enfin, l’influence de la saturation sur la méthode proposée est aussi étudiée à l’aide d’une analyse par éléments finis du comportement magnétique de la MSRV.Finalement, l’influence de la méthode de compensation des ondulations de couple sur d’autres performances de la MSRV est analysée. Les courants optimaux ont plus harmoniques que les courants originaux. Par conséquent, les pertes dans le cuivre, dans le fer et dans les semi-conducteurs de l’onduleur sont modélisées analytiquement, calculées et comparées. Les conclusions montrent que les pertes dans le cuivre sont les plus sensibles à la compensation des harmoniques de couple tandis que les pertes dans le fer et dans l’onduleur sont faiblement affectées. D’autre part, la réduction des ondulations de couple peut changer le comportement vibro-acoustique de la MSRV. La dernière partie est consacrée à l’étude de la relation entre les ondulations de couple et le bruit. Une équation est proposée pour évaluer la variation du bruit produit par la compensation des ondulations de couple. Dans cette partie, les simulations dans Flux 2D sont effectuées pour calculer la variation du bruit. En outre, le logiciel professionnel Manatee réalisant l’analyse des vibrations et de l’acoustique est utilisé dans le but de conforter les résultats obtenus par la modélisation analytique. / This thesis aims to study the control and optimization of a synchronous reluctance machine for the purpose of improving the vibrational performance. The main works of the thesis can be classified into three parts: the proposed torque ripple reduction method, the factors which can influence the proposed method and the influence of the proposed method.At first, the torque ripple of synchronous reluctance machine is reduced by a control method. Firstly, a torque equation is proposed in order to present the relationship between torque ripple and the optimal currents. Then a new parameter, torque function, is put forward. Based on the torque function, the torque ripple reduction strategy is presented. Two different torque ripple minimizations are proposed by applying different torque function harmonics. They are analyzed and compared in order to define the optimal method. In order to test the proposed method further, the selected torque ripple minimization approach is applied to three SynRMs. The results of finite element simulations imply that the proposed method is effective to decrease the torque ripples of these three SynRMs. The proposed torque ripple reduction method is verified according to the models built in MATLAB/Simulink and the experiment results respectively.Then the factors which could influence the proposed torque ripple reduction method are analyzed. Firstly, torque function is a function of rotor position, current angle and saturation. Based on the model in Simulink, the influence of different starting position on the performance of the studied SynSR is analyzed. Besides, the estimated position errors produced by senserless control could also affect the toque ripple minimization by changing torque function. At last, the influence of saturation on the proposed torque ripple reduction method is introduced because the amplitudes of the optimal currents are increased.In addition, the influence of torque ripple reduction on the other perfomances of SynRM is analyzed. The optimal currents have more harmonics than the original sinusoidal currents. So three losses (copper losses, iron losses and inverter losses) are modeled, calculated, analyzed and compared. According to the results, the copper losses are the most sensible losses. The iron losses and the inverter losses are a little increased and the increased parts can be neglected. Besides, reducing torque ripple by adding stator currents could influence the vibro-acoustic of the studied SynRM. Thus this section aims to explain the relationship between torque ripple reduction and acoustic noise. An analytical equation is proposed in order to evaluate the variation of noise produced by torque ripple reduction. Simulations in Flux 2D have been performed in order to calculate the variation of noise resulted by torque ripple reduction. At last, the software Manatee which is professional in studying the vibration and noise is applied for the purpose of comparing the results with those of the finite element analysis.

This thesis is part of a major research project to analyse vibro-acoustic characteristics from variable speed inverter driven induction motors (VSIDIM). The overall projects??? aimed at providing a better understanding of the mechanisms of sound generation from electromagnetic origins and developing a numerical model to predict the sound power emitted from a VSIDIM. The scope of this thesis is to assess experimentally the effect of various controller strategies on the radiated sound power and to develop a finite element method for calculating the electromagnetic force distribution over the stator. Various sources of noise in induction motors and their behaviour with speed and load have been reviewed. Models of the electromagnetic field and vibro-acoustic character have been discussed. An outline of various techniques of reducing noise in induction motors through design of inverters and modifications to the motor structure has been given. Experiments were conducted to assess the effect of controller strategies on the radiated sound power. Three different supplies were tested: a dynamotor which produces an almost sinusoidal supply with very low harmonic content, an inverter with a low switching frequency (less than 1kHz) and an inverter with a high switching frequency (8kHz) and various levels of random modulation. Results indicate that the sound power level of the MSC drive is a lot higher than that of the VSC 2000 drive and the dynamotor drive. The sound power level of the VSC 2000 drive and the dynamotor drive increases almost linearly with motor speed, that for the MSC drive is almost independent of speed. The sound power level of the MSC drive is almost 28dB higher than that of the dynamotor drive at 450rpm and the difference is reduced to 14dB at 1500rpm where the aerodynamic noise becomes more dominant. It has been found that at the rated speed (1500rpm), the sound power level varies by less than 3dB from no load to full load for all three sources. Although increasing the switching frequency increases the cost of the inverters and switching losses, results from the MSC and VSC 2000 drives clearly show that it reduces the radiated sound power by shifting the harmonics into higher and inaudible frequency range. The tonal nature around the switching frequency has been reduced by increasing the levels of random modulation to spread the energy over a wider range of frequencies, although the sound power level has not varied by more than 0.2dB. A finite element model has been developed to calculate the electromagnetic force distribution. The quasi-static solution method has been implemented by stepping the rotor through the time domain using a fine regular mesh in the air gap. The stator currents were experimentally obtained while the rotor currents were obtained using a 4 parameter state space model of the motor. Results of the simulation indicate the influence of stator and rotor slots, saturation and time harmonics in the current. The calculated electromagnetic force distribution has been used in a FEM/BEM acoustic model and SEA acoustic model to predict the radiated sound power which agrees reasonably well with the measured sound, thus validating indirectly the electromagnetic force simulations.

With the advent of power electronics, inverter-driven induction motor are finding increased use in industries because of applications that demand variable speed operations and because of the potential savings in energy usage. However, these drives sometimes produce unacceptably high levels in vibration and acoustic noise. A literature survey has revealed that while there has been intensive research on the design of inverters to minimize acoustic noise radiation from these drives, the vibro-acoustic behaviour of an induction motor structure has received relatively little attention. The primary objective of this research project, therefore, is to develop a general strategy/algorithm for estimating the acoustic noise radiated from inverter-driven induction motors. By using a three-phase, 2.2 kW induction motor, the vibration modes due to various structural components (such as the rotor, the stator/casing, the endshields and the base plate) of the motor structure were analysed by experimental modal testing. Results indicate that the vibration modes due to the rotor are only important at low frequencies. It has been found that the power injection method gives more accurate measurement of the damping of a motor structure than the modal testing and the time decay methods. If a point force excitation is used, then it is more accurate to measure the sound radiation efficiency than the power conversion efficiency for motor structures. The effect of three different inverter designs (an ideal ???almost sinusoidal??? controller and two commercially available PWM inverters) on the radiated acoustic power were assessed for both no-load and load conditions using sound intensity measurements conducted in an anechoic room. The results indicate that although the sound power level due to aerodynamic and mechanical noise increases at a rate of 12 dB per doubling of the motor speed, the electromagnetic noise dominates at low motor speeds and is still a significant noise source even at high motor speeds. For inverters with low switching frequencies, the radiated sound power level is almost 15 dB higher than the ideal case at low speeds and is relatively insensitive to the motor speed. For inverters that implement the random modulation technique, the change in the total sound power level with the level of the random modulation is very small but the tonal nature of the noise is greatly reduced. The vibration behaviour of a motor structure was modeled using the finite element method (FEM) and validated using the experimental modal testing results. It has been found that it is essential to model the laminated stator as an orthotropic structure. While the details of other structural components (such as the endshields, the teeth in the stator and the windings) are not so important, it is essential that they are incorporated into the structural model as simplified structures to account for their mass, stiffness and boundary conditions imposed on the motor structure. Based on this structural model, the radiated acoustic power for various operating conditions has been predicated using the boundary element (BEM) and the electromagnetic force calculated from an electromagnetic finite element model. The predicted results agree reasonably well with experimental measurements. Despite the success of the FEM/BEM approaches, they can be prohibitively expensive (in terms of computer resources required) to apply to large motors and high frequencies. Thus the feasibility of using a statistical method, namely, the statistical energy analysis (SEA), to estimate the radiated acoustic sound power from an inverter-driven induction motor has been examined. In order to carry out this analysis, analytical expressions for calculating the natural frequencies and radiation efficiency of finite length circular cylindrical shells (which are simplified models of the stator and casing of a motor structure) were firstly derived. The internal loss factors and coupling loss factors of the motor structure were determined experimentally using the power injection method. Then by introducing an equivalent surface mobility of circular cylindrical shells for the electromagnetic force, the vibration response and the acoustic noise radiated from each part of the motor structure were estimated. Results indicate that SEA method is potentially an efficient and effective tool in estimating the noise radiated from inverter-driven induction motors.

The acoustic environment generated during launch is the most demanding structural load case for large, lightweight satellite reflector antennas. The reflector is exposed to extremely high sound pressure levels originating from the structural excitation of the rocket engines and exterior air flow turbulence. This thesis aims to predict the structural responses in the reflector due to the acoustic pressure load with a model based on Finite Element Modelling (FEM). The FE-model is validated against a previously performed Boundary Element Method (BEM) analysis. An approach called Split Loading together with a combination of BEM and FEM will be utilized to handle the surrounding air mass and the applied sound pressures. The idea of Split Loading is to divide the structure into several patches and apply a unit pressure load to each patch separately. In the last step the unit pressure is scaled and correlated by a power spectral density calculated from the acoustic pressures. Split Loading will be implemented in software packages MSC.NASTRAN/PATRAN. The model developed in this thesis handles both the added mass of the surrounding air and the sound pressure applied to the reflector. The model can qualitatively well reproduce the results of the BEM-analysis and the test data. However, the model tends to overestimate responses at low frequencies and underestimate them at high frequencies. The end results is that the model becomes too conservative at low frequencies to be used without further development.

This thesis is part of a major research project to analyse vibro-acoustic characteristics from variable speed inverter driven induction motors (VSIDIM). The overall projects??? aimed at providing a better understanding of the mechanisms of sound generation from electromagnetic origins and developing a numerical model to predict the sound power emitted from a VSIDIM. The scope of this thesis is to assess experimentally the effect of various controller strategies on the radiated sound power and to develop a finite element method for calculating the electromagnetic force distribution over the stator. Various sources of noise in induction motors and their behaviour with speed and load have been reviewed. Models of the electromagnetic field and vibro-acoustic character have been discussed. An outline of various techniques of reducing noise in induction motors through design of inverters and modifications to the motor structure has been given. Experiments were conducted to assess the effect of controller strategies on the radiated sound power. Three different supplies were tested: a dynamotor which produces an almost sinusoidal supply with very low harmonic content, an inverter with a low switching frequency (less than 1kHz) and an inverter with a high switching frequency (8kHz) and various levels of random modulation. Results indicate that the sound power level of the MSC drive is a lot higher than that of the VSC 2000 drive and the dynamotor drive. The sound power level of the VSC 2000 drive and the dynamotor drive increases almost linearly with motor speed, that for the MSC drive is almost independent of speed. The sound power level of the MSC drive is almost 28dB higher than that of the dynamotor drive at 450rpm and the difference is reduced to 14dB at 1500rpm where the aerodynamic noise becomes more dominant. It has been found that at the rated speed (1500rpm), the sound power level varies by less than 3dB from no load to full load for all three sources. Although increasing the switching frequency increases the cost of the inverters and switching losses, results from the MSC and VSC 2000 drives clearly show that it reduces the radiated sound power by shifting the harmonics into higher and inaudible frequency range. The tonal nature around the switching frequency has been reduced by increasing the levels of random modulation to spread the energy over a wider range of frequencies, although the sound power level has not varied by more than 0.2dB. A finite element model has been developed to calculate the electromagnetic force distribution. The quasi-static solution method has been implemented by stepping the rotor through the time domain using a fine regular mesh in the air gap. The stator currents were experimentally obtained while the rotor currents were obtained using a 4 parameter state space model of the motor. Results of the simulation indicate the influence of stator and rotor slots, saturation and time harmonics in the current. The calculated electromagnetic force distribution has been used in a FEM/BEM acoustic model and SEA acoustic model to predict the radiated sound power which agrees reasonably well with the measured sound, thus validating indirectly the electromagnetic force simulations.

With the advent of power electronics, inverter-driven induction motor are finding increased use in industries because of applications that demand variable speed operations and because of the potential savings in energy usage. However, these drives sometimes produce unacceptably high levels in vibration and acoustic noise. A literature survey has revealed that while there has been intensive research on the design of inverters to minimize acoustic noise radiation from these drives, the vibro-acoustic behaviour of an induction motor structure has received relatively little attention. The primary objective of this research project, therefore, is to develop a general strategy/algorithm for estimating the acoustic noise radiated from inverter-driven induction motors. By using a three-phase, 2.2 kW induction motor, the vibration modes due to various structural components (such as the rotor, the stator/casing, the endshields and the base plate) of the motor structure were analysed by experimental modal testing. Results indicate that the vibration modes due to the rotor are only important at low frequencies. It has been found that the power injection method gives more accurate measurement of the damping of a motor structure than the modal testing and the time decay methods. If a point force excitation is used, then it is more accurate to measure the sound radiation efficiency than the power conversion efficiency for motor structures. The effect of three different inverter designs (an ideal ???almost sinusoidal??? controller and two commercially available PWM inverters) on the radiated acoustic power were assessed for both no-load and load conditions using sound intensity measurements conducted in an anechoic room. The results indicate that although the sound power level due to aerodynamic and mechanical noise increases at a rate of 12 dB per doubling of the motor speed, the electromagnetic noise dominates at low motor speeds and is still a significant noise source even at high motor speeds. For inverters with low switching frequencies, the radiated sound power level is almost 15 dB higher than the ideal case at low speeds and is relatively insensitive to the motor speed. For inverters that implement the random modulation technique, the change in the total sound power level with the level of the random modulation is very small but the tonal nature of the noise is greatly reduced. The vibration behaviour of a motor structure was modeled using the finite element method (FEM) and validated using the experimental modal testing results. It has been found that it is essential to model the laminated stator as an orthotropic structure. While the details of other structural components (such as the endshields, the teeth in the stator and the windings) are not so important, it is essential that they are incorporated into the structural model as simplified structures to account for their mass, stiffness and boundary conditions imposed on the motor structure. Based on this structural model, the radiated acoustic power for various operating conditions has been predicated using the boundary element (BEM) and the electromagnetic force calculated from an electromagnetic finite element model. The predicted results agree reasonably well with experimental measurements. Despite the success of the FEM/BEM approaches, they can be prohibitively expensive (in terms of computer resources required) to apply to large motors and high frequencies. Thus the feasibility of using a statistical method, namely, the statistical energy analysis (SEA), to estimate the radiated acoustic sound power from an inverter-driven induction motor has been examined. In order to carry out this analysis, analytical expressions for calculating the natural frequencies and radiation efficiency of finite length circular cylindrical shells (which are simplified models of the stator and casing of a motor structure) were firstly derived. The internal loss factors and coupling loss factors of the motor structure were determined experimentally using the power injection method. Then by introducing an equivalent surface mobility of circular cylindrical shells for the electromagnetic force, the vibration response and the acoustic noise radiated from each part of the motor structure were estimated. Results indicate that SEA method is potentially an efficient and effective tool in estimating the noise radiated from inverter-driven induction motors.

Les structures à double paroi sont largement utilisées dans la lutte contre les nuisances sonores et vibratoires en raison de leur supériorité en terme d'isolation acoustique sur les parois simples. Parmi les exemples typiques on peut citer les doubles vitrages, le fuselage des avions, les véhicules, etc. Dans ce contexte, nous nous sommes intéressés à l'étude expérimentale et numérique du comportement vibroacoustique des doubles parois feuilletées. Le système étudié est composé de deux plaques sandwichs à cœur viscoélastique séparées par une cavité remplie d'air. Nous avons développé un modèle éléments finis basé sur une formulation variationnelle impliquant le déplacement en tout point de la structure et la pression acoustique dans la cavité d'air. Due aux propriétés mécaniques complexes du matériau viscoélastique utilisé dans le cœur des panneaux, cette formulation est complexe et dépend de la fréquence. La résolution de ce modèle par les méthodes directes a un coût numérique exorbitant. Nous avons réussi à développer un modèle d'ordre réduit à faible coût numérique capable de prédire la transmission sonore quelque soit le domaine fréquentiel d'étude. Ce modèle, basé sur la méthode de superposition modale, nécessite le calcul des modes découplés solide et acoustique du système. Les modes solides sont les modes réels et non amortis des panneaux sandwich sans charge de pression acoustique à l'interface fluide-structure, tandis que les modes acoustiques sont les modes de la cavité acoustique avec des conditions aux limites de parois rigides à l'interface fluide-structure. Pour valider notre modèle numérique, nous avons réalisé des mesures expérimentales de vitrages simples, feuilletés et doubles selon la norme ISO 140. Cette norme concerne la mesure de l'isolement acoustique des immeubles et des éléments de construction. Les comparaisons entre les résultats numériques et expérimentaux montrent une assez bonne corrélation entre les deux approches. / Double-wall structures are widely used in noise control due to their superiority over single-leaf structures in providing better acoustic insulation. Typical examples include double glazed windows, fuselage of airplanes, vehicles, etc. In this context, we are interested in experimental and numerical study of the vibro-acoustic behavior of double-wall sandwich panels with viscoelastic core coupled to an acoustic enclosure. A finite element formulation is derived from a variational principle involving structural displacement and acoustic pressure in the fluid cavity. Since the elasticity modulus of the viscoelastic core is complex and frequency dependent, this formulation is complex and nonlinear. Therefore, the direct solution of this problem can be considered only for small model sizes. We successfully developed a reduced order-model to predict the sound transmission in any frequency range at a lower numerical cost. This model, based on a normal mode expansion, requires the computation of the uncoupled structural and acoustic modes. The uncoupled structural modes are the real and undamped modes of the sandwich panels without fluid pressure loading at fluid-structure interface, whereas the uncoupled acoustic modes are the cavity modes with rigid wall boundary conditions at the fluid-structure interface. Our numerical model is validated by means of experiments realized on simple, double and laminated glazing according to ISO 140 standards. This standard concerns the measurement of sound insulation in buildings and of building elements. The numerical predictions agree reasonably well with experiments.

Made available in DSpace on 2014-06-11T19:27:14Z (GMT). No. of bitstreams: 0 Previous issue date: 2008-12-22Bitstream added on 2014-06-13T19:14:29Z : No. of bitstreams: 1 jardim_mf_me_ilha.pdf: 2211660 bytes, checksum: 2278321e3f739e77b4a47c1e179ff125 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / Em muitos problemas do nosso cotidiano ocorre acoplamento entre a resposta acústica no interior de uma cavidade e a excitação estrutural em um de seus contornos flexíveis, bem como a resposta estrutural nestes contornos também está relacionada à fonte acústica da cavidade. Interior de automóveis, cabine de caminhões e fuselagem de aviões são apenas alguns exemplos práticos destes tipos de sistemas. Acoplamento implica que o comportamento dos sistemas acústico e estrutural não são independentes um do outro, e ambos devem ser considerados como um único sistema global. O propósito deste trabalho é avaliar a técnica de matrizes compactas na solução de problema de acoplamento vibroacústico em cavidades de geometria regular e irregular. Preliminarmente, a análise do acoplamento vibro-acústico é baseado no método dos elementos finitos e o conjunto de equações não simétricas que modela o movimento é discutida. A aproximação vibro-acústica por matrizes compactas é feita utilizando conceitos de impedância e mobilidade. No modelo de matrizes compactas, o acoplamento é obtido através da avaliação dos modos acústicos e estruturais desacoplados da cavidade e da estrutura flexível, respectivamente. Simulações numéricas utilizando o método dos elementos finitos e a técnica de matrizes compactas são apresentadas para modelos vibro-acústicos de geometria regular e irregular. Testes experimentais são realizados em uma cavidade irregular feita de PVC e aço. A metodologia de análise dos resultados é baseada nas FRF(s) definidas pelas relações entre a resposta em pressão acústica da cavidade e a força estrutural e entre a resposta em velocidade e a força estrutural aplicada sobre a superfície flexível. A comparação dos modelos numéricos e experimentais mostra o potencial da técnica de matrizes compactas. / In many systems of day-life occurs the coupling between the acoustical response in a cavity and a structural excitation on a flexible boundary, whereas the structural response in this same boundary is also related to acoustical excitation source. Car interiors, cabs of trucks and aircraft fuselage are a just a few practical examples of this sort of systems. Coupling implies that the acoustical and structural system behavior is not independent from each other, and therefore they must be considered as a global system behavior. The aim of this work is to evaluate a compact matrix formulation to solve vibro-acoustic problems in regular and irregular shape cavity. Preliminary, the vibro-acoustic coupling analysis is based on finite element method and the set of non-symmetric equation that represents the movement is discussed. The compact matrix formulation approaches have been done using impedance and mobility concepts. In compact matrix model, the coupling is obtained by evaluating the uncoupled acoustic modes and structural modes of the cavity and flexible structure, respectively. Numerical simulation using the finite element method and the compact matrix formulation are shown for regular and irregular shape cavity model. Experimental tests are evaluated in an irregular rigid cavity made of PVC and steel. The results analysis methodology is based on FRF(s) defined by the relationship between the pressure acoustic response in the cavity and structural force and between the velocity response and structural force applied on the flexible boundary. The comparison of numerical and experimental models shows the potential of the compact matrix formulation.