<p align="justify">Many different active control techniques can be used to control the vibrations of a mechanical structure: they however require at least a sensitive signal amplifier (for the sensor), a power amplifier (for the actuator) and an analog or digital filter (for the controller). The use of all these electronic devices may be impractical in many applications and has motivated the use of the so-called shunt circuits, in which an electrical circuit is directly connected to a transducer embedded in the structure. The transducer acts as an energy converter: it transforms mechanical (vibrational) energy into electrical energy, which is in turn dissipated in the shunt circuit. No separate sensor is required, and only one, generally simple electronic circuit is used. The stability of the shunted structure is guaranteed if the electric circuit is passive, i.e., if it is made of passive components such as resistors and inductors.</p> <p align="justify">This thesis compares the performances of the electric shunt circuits with those of classical active control systems. It successively considers the use of piezoelectric transducers and that of electromagnetic (moving-coil) transducers.</p> <p align="justify">In a first part, the different damping techniques are applied on a benchmark truss structure equipped with a piezoelectric stack transducer. A unified formulation is found and experimentally verified for an active control law, the Integral Force Feedback (IFF), and for various passive shunt circuits (resistive and resistive-inductive). The use of an active shunt, namely the negative capacitance, is also investigated in detail. Two different implementations are discussed: they are shown to have very different stability limits and performances.</p> <p align="justify">In a second part, vibration isolation with electromagnetic (moving-coil) transducers is introduced. The effects of an inductive-resistive shunt circuit are studied in detail; an equivalent mechanical representation is found. The performances are compared with that of resonant shunts and with that of active isolation with IFF. Next, the construction of a six-axis isolator based on a Stewart Platform is presented: the key parameters and the main limitations of the system are highlighted.</p>

Die Dissertation stellt Regelverfahren für die Asynchronmaschine mit Kurzschlussläufer und die doppeltgespeiste Asynchronmaschine vor, die Torsionsschwingungen im Antriebsstrang über einen Eingriff am Luftspaltmoment dämpfen und ohne Sensoren für die Drehzahl, den Drehwinkel und das Drehmoment arbeiten. Alle für die Regelverfahren benötigten Zustandsgrößen der Asynchronmaschine und des mechanischen Systems werden mit Beobachtern aus den gemessenen Spannungs- und Stromkomponenten geschätzt. Die Qualität der geschätzten Zustandsgrößen wird mit Gütekriterien bewertet und kann als durchweg gut bezeichnet werden. Die Regelverfahren werden bei der praktischen Erprobung mit Gütekriterien bezüglich der stationären Genauigkeit und im dynamischen Betrieb bezüglich der Schädigung und der Dynamik untersucht. Die Untersuchungen zeigen, dass die vorgestellten Maßnahmen zur Torsionsschwingungsdämpfung die Schädigung deutlich reduzieren. Die Ergebnisse zeigen zudem, dass bei Verwendung geschätzter statt gemessener Zustandsgrößen für die Regelverfahren kaum Einbußen bezüglich der stationären Genauigkeit, der Dynamik und der Reduzierung der Schädigung entstehen. Für das Regelverfahren der doppeltgespeisten Asynchronmaschine wird simulativ nachgewiesen, dass dieses auch beim Netzspannungseinbruch stabil arbeitet.

Steam turbine rotor is a very complicated assembly, typically consists of several rotor rows. Due to design limitations and increasing demands on the efficiency of the steam turbines, it is practically impossible to avoid all of the resonant states. The significant vibrations can occur, for example, due to passing resonance state during turbine start up or run out. In the worst case the turbine operates state is close to the resonance state of the rotor row. This leads to the significant oscillation of the bladed disk, and may results in the blade (or blade to disk joints) high cycle fatigue. These parts are highly loaded components and any cracks are unacceptable. Therefore it is absolutely necessary to damp vibration by using, for example, passive damping elements. The damping element analyzed in this thesis is a strap with an isosceles trapezoidal cross section, which is placed in the circumferential dovetail groove in the blade segmental shrouding. The sliding between the contact surfaces leads to the dissipation of energy which causes decreasing of undesirable vibrations. The main aim is to design the optimal dimensions of the strap cross-section with a view to the most effective damping of vibration for a particular turbine operating state. Considered bladed disk has 54 blades which are coupled in 18 packets by segmental shrouding. The damping element is paced in circumferential dovetail groove created in the shrouding. This type of damping element is suitable especially for damping vibrations in the axial direction and only with the mode shape with the nodal diameters. The modal properties of the bladed disk are influenced by the sliding distance. Since the friction force depends on centrifugal force acting on the damping element and on the angle of the side walls of the strap and groove, the sliding distance can be influenced by the damping element dimensions. During the optimization process the best possible size of middle width, height and angle of damping element cross-section is searched. The strap weight, contact area size and flexural stiffness of damping element can be influenced by these parameters. Their change has also impact on the size of the contact pressure and thus on the size of relative motion as well. As stated previously, the damping efficiency is influenced by the relative motion between the damping element and shrouding. Numerical simulation in time domain is very time-consuming, especially for systems containing nonlinearities. In order to verify dynamic behavior of the computational model with the passive friction element in numerical simulations, the simplified model is created. The model is created in the ANSYS environment. The main requirement imposed on this model is to have as small number of degrees of freedom as possible, so the time needed to perform the simulation is reduced to a minimum. To satisfy this requirement the simplified model is a cantilever beam with rectangular cross section. The dovetail groove is created in this model in longitudinal direction. In this groove is damping element. In addition to damping element dimensions optimization, the influence of each design variable on model dynamic behavior is studied. The results are verified experimentally. Experiment also shows other interesting results that confirm the damping element influence on the modal characteristics. The gained knowledge is used to optimize the dimensions of the damping element in the model of the bladed disk.

L’amélioration du confort des usagers ainsi que l’augmentation du niveau de sécurité des structures requièrent le développement de techniques permettant de limiter efficacement les vibrations. Dans cette optique, les travaux exposés ici proposent le développement et l’analyse de méthodes de contrôle vibratoire pour des structures de faibles dimensions et utilisant peu d’énergie. Afin de satisfaire à ces deux critères, il est ici proposé d’utiliser des éléments piézoélectriques électriquement interfacés de manière non-linéaire et périodiquement distribués sur la structure-cible à contrôler. Ainsi, l’approche proposée permet de bénéficier à la fois des avantages des techniques de contrôle non-linéaires appliquées aux matériaux intelligents de type piézoélectrique, offrant des performances remarquables tout en étant peu consommatrices d’énergie, avec ceux des structures périodiques exhibant des bandes fréquentielles interdites présentant de fortes atténuations de la propagation d’onde. Plus particulièrement, ce mémoire s’intéresse à différentes architectures d’interconnexion des interfaces électriques non-linéaires permettant un bon compromis entre la bande fréquentielle contrôlée et les performances en termes d’atténuation des vibrations. Ainsi, trois architectures principales sont proposées, allant de structures totalement périodiques, tant au niveau mécanique qu’électrique (interconnexions), à des structures présentant un certain degré d’apériodicité sur le plan électrique (entrelacement), impactant ainsi la propagation de l’onde acoustique en élargissant la bande de contrôle, pour enfin proposer une architecture hybride entre interconnexion et entrelacement conduisant à des systèmes large bande performants. / For ameliorating vibration reduction systems in engineering applications, miscellaneous vibration control methods, including vibration damping systems, have been developed in recent years. As one of intelligent vibration damping systems, nonlinear electronic damping system using smart materials (e.g., piezoelectric materials), is more likely to achieve multimodal vibration control. With the development of meta-structures (a structure based upon metamaterial concepts), electronic vibration damping shunts, such as linear resonant damping or negative capacitance shunts, have been introduced and integrated abundantly in the electromechanical meta-structure design for wave attenuation and vibration reduction control. Herein, semi-passive Synchronized Switch Damping on the Inductor (SSDI) technique (which belongs to nonlinear electronic damping techniques), is combined with smart meta-structure (also called smart periodic structure) concept for broadband wave attenuation and vibration reduction control, especially for low frequency applications. More precisely, smart periodic structure with nonlinear SSDI electrical networks is investigated from the following four aspects, including three new techniques for limiting vibrations: First, in order to dispose of a tool allowing the evaluation of the proposed approaches, previous finite element (FE) modeling methods for piezoelectric beam structures are summarized and a new voltage-based FE modeling method, based on Timoshenko beam theory, is proposed for investigating smart beam structure with complex interconnected electrical networks; then, the first developed technique lies in smart periodic structure with nonlinear SSDI interconnected electrical networks, which involves wave propagation interaction between continuous mechanical and continuous nonlinear electrical media; the second proposed topology lies in smart periodic structures with nonlinear SSDI interleaved / Tri-interleaved electrical networks involving wave propagation interaction between the continuous mechanical medium and the discrete nonlinear electrical medium. Due to unique electrical interleaved configuration and nonlinear SSDI electrical features, electrical irregularities are induced and simultaneously mechanical irregularities are also generated within an investigated periodic cell; the last architecture consists in smart periodic structures with SSDI multilevel interleaved-interconnected electrical networks, involving wave propagation interaction between the continuous mechanical medium and the multilevel continuous nonlinear electrical medium. Compared with the SSDI interconnected case, more resonant-type band gaps in the primitive pass bands of purely mechanical periodic structures can be induced, and the number of such band-gaps are closely related to the interconnection / interleaved level. Finally, the main works and perspectives of the thesis are summarized in the last chapter.

L'objectif de ce travail était d'améliorer l'amortissement d'un composite thermoplastique haute performance à matrice poly(éther cétone cétone) (PEKK). Pour cela, le concept d'amortissement vibratoire passif à base de particules piézoélectriques (niobate de sodium, NaNbO3) et de particules conductrices (graphène et noir de carbone) a été étudié. Les particules piézoélectriques assurent la transduction mécanique-électrique de la vibration. Les particules conductrices dissipent par effet Joule les charges électriques générées par les particules piézoélectriques au sein de la matrice polymère. La présence de ces deux types de particules favorise la dissipation de l'énergie mécanique par le phénomène de transduction-dissipation local. Ce film amortissant a ensuite été visco-contraint entre des plis composites. Les différentes contributions à la dissipation d'énergie ont été identifiées : la viscoélasticité du polymère, le stick-slip à l'interface particules/matrice, le cisaillement induit par les fibres de carbone et la transduction-dissipation locale. Ce dernier phénomène a été mis en évidence de manière significative à travers l'étude du comportement mécanique et de la réponse dynamique des empilements composites. Après l'étape de polarisation, l'aire sous le module de cisaillement dissipatif G'' du mode de relaxation mécanique α est augmentée de 18%, l'aire des boucles d'hystérésis de 16% à 34% et les amplitudes des modes de résonance sont diminuées, jusqu'à 54% pour le 2ème mode. / The aim of this work was to increase the damping in a high performance thermoplastic composite with the poly(ether ketone ketone) (PEKK) as polymer matrix. The passive vibration damping concept based on piezoelectric particles (sodium niobate, NaNbO3) and conductive particles (graphene and carbon black) was studied. Piezoelectric particles ensure the mechanic-electric transduction of the vibration. Conductive particles dissipate by Joule effect the electric charges generated by the piezoelectric particles within the polymer matrix. Presence of these two kinds of particles improves the dissipation of the mechanical energy by the local transduction-dissipation phenomena. This damping film was visco-constrained between composites plies. The different contributions of energy dissipation have been identified: the polymer viscoelasticity, the stick-slip at the particle/matrix interface, the shear induced by carbon fibers and the local transduction-dissipation. The latter phenomena has been demonstrated significantly through the study of mechanical behavior and dynamic response of the laminate composites. After the polarization step, the area under the dissipative shear modulus G'' of the mechanical relaxation mode α is increased by 18%, the hysteresis loop area from 16% to 34% and resonance mode amplitudes are decreased, up to 54% for the 2nd mode.

Die Dissertation stellt Regelverfahren für die Asynchronmaschine mit Kurzschlussläufer und die doppeltgespeiste Asynchronmaschine vor, die Torsionsschwingungen im Antriebsstrang über einen Eingriff am Luftspaltmoment dämpfen und ohne Sensoren für die Drehzahl, den Drehwinkel und das Drehmoment arbeiten. Alle für die Regelverfahren benötigten Zustandsgrößen der Asynchronmaschine und des mechanischen Systems werden mit Beobachtern aus den gemessenen Spannungs- und Stromkomponenten geschätzt. Die Qualität der geschätzten Zustandsgrößen wird mit Gütekriterien bewertet und kann als durchweg gut bezeichnet werden. Die Regelverfahren werden bei der praktischen Erprobung mit Gütekriterien bezüglich der stationären Genauigkeit und im dynamischen Betrieb bezüglich der Schädigung und der Dynamik untersucht. Die Untersuchungen zeigen, dass die vorgestellten Maßnahmen zur Torsionsschwingungsdämpfung die Schädigung deutlich reduzieren. Die Ergebnisse zeigen zudem, dass bei Verwendung geschätzter statt gemessener Zustandsgrößen für die Regelverfahren kaum Einbußen bezüglich der stationären Genauigkeit, der Dynamik und der Reduzierung der Schädigung entstehen. Für das Regelverfahren der doppeltgespeisten Asynchronmaschine wird simulativ nachgewiesen, dass dieses auch beim Netzspannungseinbruch stabil arbeitet.

Steam turbine rotor is a very complicated assembly, typically consists of several rotor rows. Due to design limitations and increasing demands on the efficiency of the steam turbines, it is practically impossible to avoid all of the resonant states. The significant vibrations can occur, for example, due to passing resonance state during turbine start up or run out. In the worst case the turbine operates state is close to the resonance state of the rotor row. This leads to the significant oscillation of the bladed disk, and may results in the blade (or blade to disk joints) high cycle fatigue. These parts are highly loaded components and any cracks are unacceptable. Therefore it is absolutely necessary to damp vibration by using, for example, passive damping elements. The damping element analyzed in this thesis is a strap with an isosceles trapezoidal cross section, which is placed in the circumferential dovetail groove in the blade segmental shrouding. The sliding between the contact surfaces leads to the dissipation of energy which causes decreasing of undesirable vibrations. The main aim is to design the optimal dimensions of the strap cross-section with a view to the most effective damping of vibration for a particular turbine operating state. Considered bladed disk has 54 blades which are coupled in 18 packets by segmental shrouding. The damping element is paced in circumferential dovetail groove created in the shrouding. This type of damping element is suitable especially for damping vibrations in the axial direction and only with the mode shape with the nodal diameters. The modal properties of the bladed disk are influenced by the sliding distance. Since the friction force depends on centrifugal force acting on the damping element and on the angle of the side walls of the strap and groove, the sliding distance can be influenced by the damping element dimensions. During the optimization process the best possible size of middle width, height and angle of damping element cross-section is searched. The strap weight, contact area size and flexural stiffness of damping element can be influenced by these parameters. Their change has also impact on the size of the contact pressure and thus on the size of relative motion as well. As stated previously, the damping efficiency is influenced by the relative motion between the damping element and shrouding. Numerical simulation in time domain is very time-consuming, especially for systems containing nonlinearities. In order to verify dynamic behavior of the computational model with the passive friction element in numerical simulations, the simplified model is created. The model is created in the ANSYS environment. The main requirement imposed on this model is to have as small number of degrees of freedom as possible, so the time needed to perform the simulation is reduced to a minimum. To satisfy this requirement the simplified model is a cantilever beam with rectangular cross section. The dovetail groove is created in this model in longitudinal direction. In this groove is damping element. In addition to damping element dimensions optimization, the influence of each design variable on model dynamic behavior is studied. The results are verified experimentally. Experiment also shows other interesting results that confirm the damping element influence on the modal characteristics. The gained knowledge is used to optimize the dimensions of the damping element in the model of the bladed disk.

Les matériaux évolués tels que les matériaux composites ou les fibres de carbone sont de plus en plus utilisés dans l'industrie. Ils rendent les structures plus légères et plus résistantes mais en contrepartie, ils apportent de nouveaux problèmes de vibration. De nombreuses recherches sont ainsi en cours pour apporter des solutions afin d'éliminer les vibrations indésirables tout en restant compactes, légères, intelligentes et modulaires. Récemment, des techniques de contrôle non linéaires, dénommées en anglais S.S.D. (Synchronized Switch Damping) ont été proposées et validées. Ces méthodes font commutées un élément piézoélectrique collé à la structure mécanique à amortir sur un circuit électrique de manière synchronisée avec la déformation de celle-ci. Un effet amortissant peut ainsi être obtenu en utilisant l'énergie de vibration de la structure mécanique elle-même. Basée sur ces concepts, une nouvelle technique appelée S.S.D.E.T. (Synchronized Switch Damping with Energy Transfer) est proposée dans ce manuscrit. Cette méthode permet d'amortir une vibration en utilisant de l'énergie extraite à partir d'autres vibrations. Les résultats de ce travail de thèse sont présentés de la manière suivante. Premièrement, le principe et les lois de commande de la technique S.S.D.E.T. sont introduits. Ainsi, un modèle mathématique est établi et permet de vérifier les concepts proposés par simulation. Ensuite, des validations expérimentales menées sur différentes configurations sont décrites et démontrent l'augmentation de l'amortissement sur un système composé de deux structures mécaniquement indépendantes, sur un système composé d'une seule structure qui vibre selon plusieurs modes et sur une combinaison des deux précédents. Enfin, une extension de la technique S.S.D.E.T. est introduite dans un cadre d'échange d'énergie bidirectionnel. Celle-ci permet d'obtenir un amortissement privilégié sur un mode tout en conservant un contrôle correct des autres modes. / Advanced materials such as carbon fiber, composite materials et al. are more and more used in modern industry. They make the structures lighter and stiffer. However, they bring vibration problems. Researchers studied numerous methods to eliminate the undesirable vibrations. These treatments are expected to be a compact, light, intellectual and modular system. Recently, a nonlinear technique which is known as Synchronized Switch Damping (SSD) technique was proposed. These techniques synchronously switched when structure got to its displacement extremes that leading to a nonlinear voltage on the piezoelectric elements. This resulting voltage showed a time lag with the piezoelectric strain thus causing energy dissipation. Based on the developed SSD techniques, a new synchronized switch damping e.g. Synchronized Switch Damping with Energy Transfer (SSDET) was proposed in this document. This method damped the vibration by using the energy from other vibrating form. The objectives of the work reported in this document were threefold. The first one consisted of introduction of SSDET principle and developing its control law. This part aimed at establishing the mathematical model and verifying the proposed method by mathematical tools. Then, the experimental validations were carried out. Three experiments with different configurations demonstrated that SSDET can be implemented not only between structures but also vibrating modes in one structure. A SSDET scheme with multi-patches was also investigated for improving the damping. Finally, a bidirectional SSDET concept was introduced based on the original SSDET technique. This technique be regarded as a multimode control SSDET. Since it privileged the target vibration while keeps a decent control effect on the source vibration.

L’amortissement de vibrations mécaniques trouve de nombreuses applications dans le domaine du contrôle acoustique ou de la réduction de contraintes dans l’industrie (machine outil), le génie civil (structure autoportée), ou encore l’aéronautique (réduction de contrainte lors des manoeuvres). Les recherches actuelles tendent principalement vers des méthodes utilisant des matériaux piézoélectriques collés à la surface des structures à traiter. Une technique prometteuse, développée au LGEF à l’INSA de Lyon, est l’amortissement de vibration d’une structure mécanique par méthode SSDI (pour Synchronized Switch Damping on an Inductor). Cette technique d’amortissement semi-active exploite un procédé non-linéaire de traitement de la tension aux bornes d’un élément piézoélectrique, capteur et actionneur à la fois. L’objectif de ce travail est de réaliser l’intégration de l’électronique de traitement de la tension aux bornes des éléments piézoélectriques en technologie microélectronique, afin de pouvoir l’embarquer sur le patch piézoélectrique à terme. Une analyse des techniques d’amortissement publiées permet d’y situer ce travail et de définir les points clés de la technique SSDI. Au deuxième chapitre, un certain nombre de modèles sont développés pour comparer et guider les choix de conception, et pour aboutir à des arbitrages architecturaux. Le troisième chapitre développe la conception d’un ASIC dans une technologie avec option haute tension, comprenant une fonction haute-tension de traitement du signal piézoélectrique et une chaine basse-tension d’analyse, de décision et de commande. La première réalise l’inversion de la tension piézoélectrique à l’aide d’un circuit RLC passif de conversion de l’énergie. La seconde s’attache à la détection des extremums de manière à optimiser l’amortissement. Un diviseur de tension auto-adaptatif avec protection contre les surtensions ainsi qu’un détecteur de pic de tension permettent de réaliser cette opération. Ces fonctions sont caractérisées en simulations et mesures. Le fonctionnement de l’ASIC est ensuite testé sur une structure mécanique, et les performances sont décrites et interprétées au chapitre 4. Le comportement multi-mode et la grande dynamique des signaux mécaniques traités sont des avancées par rapport à la bibliographie. / Mechanical vibration damping has many applications in industry (machine tools), civil engineering (bridge construction), or aeronautics (stress during maneuvers). Current research tends mainly to use piezoelectric materials based methods. A promising technique from the LGEF of INSA Lyon is the vibration damping of mechanical structure by so-called SSDI method (for Synchronized Switch Damping on an Inductor). This semi-active damping technique uses a non-linear process to invert the voltage across a piezoelectric element. The element is used as sensor and actuator at a time. The aim of this work is to achieve an integration of the electronic process with the SSDI voltage inversion in a microelectronic technology. It has ultimately to embed the electronic controller on the piezoelectric patch. The analysis of published damping techniques can situate this work and identify key points of the SSDI technique. In the second chapter, several models are developed to compare and decide of the best architectural design choice. The third chapter presents an ASIC design in a technology with high voltage option. The ASIC consists of a high-voltage piezoelectric signal processing part and a low-voltage control part. The first function performs piezoelectric voltage reversing by mean of a passive RLC energy conversion circuit. The second function focuses on the extremum voltage detection circuit in order to optimize damping efficiency. A self-tuning voltage divider with over-voltage protection and a peak voltage detector can perform this operation. These functions are characterized by simulations and measurements. The ASIC operation is then tested with mechanical structures, and damping performances are described and interpreted in Chapter 4. The multimodal behavior and the mechanical signals high-dynamic are new contribution as regard in the bibliography.

Im Forschungsprojekt wurde eine Bauweise für ein modular aufgebautes und flexibel einsetzbares Gestellsystem entwickelt, welches durch integrativen Leichtbau den vorteilhaften Einsatz von Holzfurnierlagenverbund-werkstoffen (WVC) für Verarbeitungs- und Fördermaschinen ermöglicht. Die ingenieurtechnisch relevanten Eigen-schaften des Holzbasiswerkstoffs (u.a. strukturelle Dämpfungseigenschaft) wurden ermittelt und darauf aufbauend ein Profil als Strukturelement des Gestellsystems entwickelt. Hier lag besonderes Augenmerk auf der Gestaltung des Profilquerschnitts. Es wurden verschiedene Querschnittsgeometrien vergleichend untersucht, wobei sich ein ge-schlossenes Kastenprofil als günstig erwies. Ausgehend vom entwickelten Profil wurde die für ein modulares Sys-tem notwendige Verbindungstechnik konzipiert. Folgend wurde schrittweise die modulare Bauweise in Strukturein-heiten umgesetzt sowie parallel Untersuchungen zu Steifigkeit und Festigkeit der Profile fortgeführt. Während der Erprobung von Struktureinheiten unter praxisnahen Bedingungen wurden gewisse konstruktive Verbesserungspo-tentiale deutlich. Diese Änderungen sowie die gewonnenen Erkenntnisse aus der Material- und Strukturprüfung kamen im Prototyp zur Umsetzung. Schallpegelprofile verschiedener fördertechnischer Anlagen und des entwickel-ten Prototypen wurden abschließend aufgenommen und verglichen. / Aim of the present study was to develop a modular designed and widely employable rack system. Positive properties of wood based materials (WVC) in lightweight structures were identified and integrated for the application in fabri-cation and conveyer technologies. For this purpose relevant properties of wood materials had been investigated (e.g. damping properties). The results of these analyses were the basis for the development of a beam profile, the basic structural design element for the future rack system. The most effort was put into finding the optimal beam cross section. Several different cross sections had been compared, a square sectional beam profile showed the best per-formance. Based on the square sectional beam profile proper connection methods for the modular rack were devel-oped. Structural units were subsequently realized step by step, while the investigation of stiffness and strength of the profiles was continued. The testing of the structural units under simulated field conditions revealed some minor constructional improvement capabilities. The constructional improvements and the knowledge from the material and profile testing were put into practice in the prototype. Finally sound measurements were carried out to compare several conveyors made of different materials (including the prototype) in respect to the emitted sound level.