La capacité de réaliser des tâches robotiques dextres à l'échelle nanométrique dans un microscope électronique à balayage (MEB) est un enjeu crucial pour les nanotechnologies. Les systèmes nano-robotiques dédiés à des applications sous MEB ont ainsi émergé dans de nombreux laboratoires de robotique. Ils peuvent être composés d'un ou de plusieurs actionneurs intégrés à des plateformes nano-robotiques avec un ou plusieurs effecteurs. L’actionneur Piézoélectrique Stick-Slip (PSS) est l'un des meilleurs candidats pour actionner les systèmes nano-robotiques dédiés à des applications sous MEB car il est capable d'effectuer un positionnement grossier avec une plage de déplacement millimétrique et un positionnement précis avec une plage de déplacement de quelques micromètres. La modélisation des actionneurs PSS est complexe notamment en raison de leur mode de fonctionnement hybride. La commande est également difficile à cause de plusieurs caractéristiques liées aux actionneurs PSS, soient le frottement, l’hystérésis et les vibrations non-amorties, qui dégradent leur performances en termes de précision et de vitesse. Ce travail porte sur la modélisation et la commande d'un système nano-robotique à 3 axes dédié à des applications sous MEB et actionné par des actionneurs piézoélectriques de type stick-slip. Chaque élément et caractéristique des actionneurs PSS ont été analysés et modélisés afin d’établir par la suite un modèle dynamique complet capable de décrire les deux modes de fonctionnement, à savoir le mode balayage et pas à pas. Pour chacun de ces deux modes, des lois de commande ont ainsi été développées pour les actionneurs PSS. Des stratégies de commande robuste ont été synthétisées pour des objectifs de positionnement rapide et à haute résolution en mode balayage. De telles performances sont fondamentales dans plusieurs tâches micro-/nano-robotique tels que le nano-assemblage rapide et précis et la nano-caractérisation des matériaux. Une commande proportionnelle en fréquence et en amplitude est synthétisée pour effectuer un déplacement millimétrique en mode pas à pas. Ceci est motivé par les applications robotiques pour lesquelles une large plage de déplacement est requise, tels que le scan de grandes surfaces et les phases d’approche d’une sonde d’un échantillon à manipuler. Une stratégie de commutation qui combine les modes balayage et pas à pas, est alors proposée pour remédier au manque de précision en mode pas à pas, lors de passage d’un grand à un petit déplacement. Ce travail a donné lieu à des résultats qui ouvrent de nouvelles perspectives pour l'utilisation des actionneurs PSS dans les systèmes nano-robotiques dédiés à des applications sous MEB. / The capability of doing dexterous robotic tasks at the nanometer scale inside a Scanning Electron Microscope (SEM) is a critical issue for nanotechnologies. SEM-integrated nano-robotic systems have consequently emerged in many robotics laboratories. They can be composed of one or more actuators assembled into nano-robotic platforms with one or several effectors. Piezoelectric Stick-Slip (PSS) actuators is one of the best candidate to actuate SEM-integrated nano-robotic systems because it is able to perform coarse positioning with millimeter displacement range and fine positioning with travel range of few micrometers. Modeling of PSS actuators is complex and difficult mainly because of their hybrid operating mode. Furthermore, control is challenging due to several characteristics related to PSS actuators, namely friction, hysteresis and undamped vibrations, which degrade their performance in terms of precision and speed. This work deals with modeling and control of a 3-axes SEM integrated nano-robotic system driven by piezoelectric stick-slip actuators. Each element and characteristic of PSS actuators are analyzed and modeled to thereafter establish a complete dynamic model able to describe the two functioning modes, namely the scanning and the stepping modes. PSS actuators are then controlled in each of these modes. Robust control strategies are developed to achieve high-resolution and fast positioning in scanning mode. Such performance is fundamental in several micro/nano-robotic tasks such as fast and accurate nano-assembly and nano-material characterization. A frequency/amplitude proportional controller is designed to perform millimeter displacement in stepping mode. This is motivated by robotic tasks where large motion is required, such as large surfaces scan and bringing a probe close to a sample to manipulate. A switched strategy, which combines scanning and stepping motion modes, is then proposed to remedy to the lack of precision in stepping motion, when passing from a large to a small displacement. This work has given rise to results which open new perspectives to the use of PSS actuators in SEM integrated nano-robotic systems.

Die Kontaktverhältnisse zwischen Reifen und Fahrbahn bestimmen die maximal übertragbaren Beschleunigungs-, Brems- und Seitenkräfte des Fahrzeugs und sind daher für die Fahrsicherheit von großer Bedeutung. In dieser Arbeit wird ein Modell zur numerisch effizienten Simulation der hochfrequenten Dynamik einzelner Reifenprofilblöcke entwickelt. Der vorgestellte Modellansatz nutzt einerseits die Vorteile der Finite-Elemente-Methode, welche die Bauteilstruktur detailliert auflösen kann, bei der jedoch lange Rechenzeiten in Kauf genommen werden. Andererseits profitiert der vorgestellte Modellansatz von den Vorteilen stark vereinfachter Mehrkörpersysteme, welche die Berechnung der hochfrequenten Dynamik und akustischer Phänomene erlauben, jedoch strukturdynamische Effekte und das Kontaktverhalten in der Bodenaufstandsfläche des Reifens nur begrenzt abbilden können. Das hier vorgestellte Modell berücksichtigt in einem modularen Ansatz die Effekte der Strukturdynamik, der lokalen Reibwertcharakteristik, der nichtlinearen Wechselwirkungen durch den Kontakt mit der rauen Fahrbahnoberfläche und des lokalen Verschleißes. Die erforderlichen Modellparameter werden durch geeignete Experimente bestimmt. Ein Schwerpunkt der Arbeit liegt in der Untersuchung reibungsselbsterregter Profilblockschwingungen bei Variation der Modell- und Prozessparameter. Zur realistischen Betrachtung des Reifenprofilblockverhaltens erfolgt eine Erweiterung des Modells um eine Abrollkinematik, die tiefere Einblicke in die dynamischen Vorgänge in der Bodenaufstandsfläche des Reifens ermöglicht. Diese Simulationen lassen eine Zuordnung der aus der Literatur bekannten zeitlichen Abfolge von Einlaufphase, Haftphase, Gleitphase und Ausschnappphase zu. Es zeigen sich bei bestimmten Kombinationen aus Fahrzeuggeschwindigkeit und Schlupfwert ausgeprägte Stick-Slip-Schwingungen im akustisch relevanten Frequenzbereich. Das Modell erlaubt die Untersuchung des Einflusses der Profilblockgeometrie, der Materialparameter, der Fahrbahneigenschaften sowie der Betriebszustände auf den resultierenden Reibwert, auf das lokale Verschleißverhalten sowie auf das Auftreten hochfrequenter reibungsselbsterregter Schwingungen. Somit ermöglicht das Modell ein vertieftes Verständnis der Vorgänge im Reifen-Fahrbahn-Kontakt und der auftretenden Wechselwirkungen zwischen Struktur- und Kontaktmechanik. Es kann eine Basis für zukünftige Optimierungen des Profilblocks zur Verbesserung wesentlicher Reifeneigenschaften wie Kraftschlussverhalten, Verschleiß und Akustik bilden.:Formelverzeichnis VII Kurzfassung X Abstract XI 1 Einleitung 1 1.1 Zielsetzung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Gliederung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2 Stand des Wissens 6 2.1 Mechanische Eigenschaften von Elastomeren . . . . . . . . . . . . . . . . . . 6 2.2 Elastomerreibung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2.1 Modelle zur Beschreibung von Hysteresereibung . . . . . . . . . . . 11 2.2.2 Modelle zur Beschreibung von Adhäsionsreibung . . . . . . . . . . . 12 2.2.3 Phänomenologische Beschreibung von Elastomerreibung . . . . . . 13 2.3 Verschleiß von Profilblöcken . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.4 Entstehung von Stick-Slip-Schwingungen . . . . . . . . . . . . . . . . . . . . 28 2.5 Profilblockmodelle und -simulationen . . . . . . . . . . . . . . . . . . . . . . 31 2.6 Experimentelle Einrichtungen zur Untersuchung von Profilblöcken . . . . . 42 2.6.1 Schwerlasttribometer . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 2.6.2 IDS-Tribometer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 2.6.3 Mini-mue-road . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 2.6.4 Linear Friction Tester . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 2.6.5 Prüfstand für Stollenmessungen . . . . . . . . . . . . . . . . . . . . . 48 2.6.6 Hochgeschwindigkeits-Abrollprüfstand . . . . . . . . . . . . . . . . 49 2.6.7 Hochgeschwindigkeits-Linearprüfstand . . . . . . . . . . . . . . . . 50 2.7 Experimentelle Reibwertbestimmung . . . . . . . . . . . . . . . . . . . . . . 52 3 Profilblockmodell 55 3.1 Modularer Modellansatz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.2 Modul 1: Strukturdynamik . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 3.2.1 Transformations- und Reduktionsverfahren . . . . . . . . . . . . . . 59 3.2.2 Implementierung in das Gesamtmodell . . . . . . . . . . . . . . . . . 72 3.3 Modul 2: Lokale Reibwertcharakteristik . . . . . . . . . . . . . . . . . . . . . 72 3.3.1 Einflussgrößen auf den Reibwert . . . . . . . . . . . . . . . . . . . . 72 3.3.2 Numerische Behandlung der Reibwertberechnung . . . . . . . . . . 73 3.4 Modul 3: Nichtlineare Kontaktsteifigkeit . . . . . . . . . . . . . . . . . . . . 75 3.4.1 Lokale Kontaktbetrachtungen . . . . . . . . . . . . . . . . . . . . . . 76 3.4.2 Kontaktalgorithmus . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 3.5 Modul 4: Lokaler Verschleiß . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 3.5.1 Vorgehen zur Verschleißmodellierung . . . . . . . . . . . . . . . . . 81 3.5.2 Implementierung in das Gesamtmodell . . . . . . . . . . . . . . . . . 82 4 Parameterbestimmung 84 4.1 Strukturdynamische Parameter . . . . . . . . . . . . . . . . . . . . . . . . . . 84 4.1.1 Bestimmung des Elastizitätsmoduls und der Dämpfung . . . . . . . 84 4.1.2 Optimierung der Modenanzahl . . . . . . . . . . . . . . . . . . . . . 88 4.2 Bestimmung der Reibcharakteristik . . . . . . . . . . . . . . . . . . . . . . . 90 4.3 Bestimmung der nichtlinearen Kontaktsteifigkeit . . . . . . . . . . . . . . . 92 4.4 Bestimmung der Verschleißparameter . . . . . . . . . . . . . . . . . . . . . . 94 5 Simulationen 100 5.1 Betrachtung eines gleitenden Profilblocks . . . . . . . . . . . . . . . . . . . . 100 5.1.1 Simulationen bei hoher Gleitgeschwindigkeit ohne Verschleiß . . . . 100 5.1.2 Simulationen bei hoher Gleitgeschwindigkeit mit Verschleiß . . . . 103 5.1.3 Profilblockverhalten bei niedriger Gleitgeschwindigkeit . . . . . . . 106 5.1.4 Simulationen mit Normalkraftvorgabe . . . . . . . . . . . . . . . . . 114 5.1.5 Vergleich Experiment-Simulation . . . . . . . . . . . . . . . . . . . . 117 5.1.6 Variation der Profilblockgeometrie . . . . . . . . . . . . . . . . . . . 119 5.2 Betrachtung eines abrollenden Profilblocks . . . . . . . . . . . . . . . . . . . 124 5.2.1 Abrollkinematik . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 5.2.2 Einfluss der Fahrzeuggeschwindigkeit . . . . . . . . . . . . . . . . . 130 5.2.3 Einfluss des Schlupfwerts . . . . . . . . . . . . . . . . . . . . . . . . . 133 5.2.4 Einfluss des Kontaktdrucks . . . . . . . . . . . . . . . . . . . . . . . . 133 5.2.5 Kontaktkraftbetrachtungen . . . . . . . . . . . . . . . . . . . . . . . . 135 6 Zusammenfassung 139 Literatur 143 / The contact conditions between tyre and road are responsible for the maximum acceleration, braking and side forces of a vehicle. Therefore, they have a large impact on the driving safety. Within this work a numerically efficient model for the simulation of the high-frequency dynamics of single tyre tread blocks is developed. The presented modelling approach benefits the advantage of the finite element method to resolve the component structure in detail. However, a long computation time is accepted for these finite element models. Moreover, the presented modelling approach makes use of the advantage of simplified multibody systems to calculate the high-frequency dynamics and acoustic phenomena. However, structural effects and the contact behaviour in the tyre contact patch can be covered only to a minor degree. The model treated here considers the effects of structural dynamics, the local friction characteristic, the non-linear interaction due to the contact with the rough road surface and local wear. The required model parameters are determined by appropriate experiments. One focus of this work is the investigation of self-excited tread block vibrations under variation of the model and process parameters. In order to realistically investigate the tread block behaviour the model is extended with regard to rolling kinematics which provides a deeper insight into the dynamic processes in the tyre contact patch. The corresponding simulations allow the allocation of the run-in phase, sticking phase, sliding phase and snap-out which is reported in the literature. For certain combinations of vehicle velocity and slip value pronounced stick-slip vibrations occur within the acoustically relevant frequency range. The model enables to study the influence of the tread block geometry, the material properties, the road surface characteristics and the operating conditions on the resulting tread block friction coefficient, local tread block wear and the occurrence of high-frequency self-excited vibrations. The simulation results provide a distinct understanding of the processes in the tyre/road contact and the interactions between structural mechanics and contact mechanics. They can be a basis for future tread block optimisations with respect to essential tyre properties such as traction, wear and acoustic phenomena.:Formelverzeichnis VII Kurzfassung X Abstract XI 1 Einleitung 1 1.1 Zielsetzung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Gliederung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2 Stand des Wissens 6 2.1 Mechanische Eigenschaften von Elastomeren . . . . . . . . . . . . . . . . . . 6 2.2 Elastomerreibung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2.1 Modelle zur Beschreibung von Hysteresereibung . . . . . . . . . . . 11 2.2.2 Modelle zur Beschreibung von Adhäsionsreibung . . . . . . . . . . . 12 2.2.3 Phänomenologische Beschreibung von Elastomerreibung . . . . . . 13 2.3 Verschleiß von Profilblöcken . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.4 Entstehung von Stick-Slip-Schwingungen . . . . . . . . . . . . . . . . . . . . 28 2.5 Profilblockmodelle und -simulationen . . . . . . . . . . . . . . . . . . . . . . 31 2.6 Experimentelle Einrichtungen zur Untersuchung von Profilblöcken . . . . . 42 2.6.1 Schwerlasttribometer . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 2.6.2 IDS-Tribometer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 2.6.3 Mini-mue-road . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 2.6.4 Linear Friction Tester . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 2.6.5 Prüfstand für Stollenmessungen . . . . . . . . . . . . . . . . . . . . . 48 2.6.6 Hochgeschwindigkeits-Abrollprüfstand . . . . . . . . . . . . . . . . 49 2.6.7 Hochgeschwindigkeits-Linearprüfstand . . . . . . . . . . . . . . . . 50 2.7 Experimentelle Reibwertbestimmung . . . . . . . . . . . . . . . . . . . . . . 52 3 Profilblockmodell 55 3.1 Modularer Modellansatz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.2 Modul 1: Strukturdynamik . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 3.2.1 Transformations- und Reduktionsverfahren . . . . . . . . . . . . . . 59 3.2.2 Implementierung in das Gesamtmodell . . . . . . . . . . . . . . . . . 72 3.3 Modul 2: Lokale Reibwertcharakteristik . . . . . . . . . . . . . . . . . . . . . 72 3.3.1 Einflussgrößen auf den Reibwert . . . . . . . . . . . . . . . . . . . . 72 3.3.2 Numerische Behandlung der Reibwertberechnung . . . . . . . . . . 73 3.4 Modul 3: Nichtlineare Kontaktsteifigkeit . . . . . . . . . . . . . . . . . . . . 75 3.4.1 Lokale Kontaktbetrachtungen . . . . . . . . . . . . . . . . . . . . . . 76 3.4.2 Kontaktalgorithmus . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 3.5 Modul 4: Lokaler Verschleiß . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 3.5.1 Vorgehen zur Verschleißmodellierung . . . . . . . . . . . . . . . . . 81 3.5.2 Implementierung in das Gesamtmodell . . . . . . . . . . . . . . . . . 82 4 Parameterbestimmung 84 4.1 Strukturdynamische Parameter . . . . . . . . . . . . . . . . . . . . . . . . . . 84 4.1.1 Bestimmung des Elastizitätsmoduls und der Dämpfung . . . . . . . 84 4.1.2 Optimierung der Modenanzahl . . . . . . . . . . . . . . . . . . . . . 88 4.2 Bestimmung der Reibcharakteristik . . . . . . . . . . . . . . . . . . . . . . . 90 4.3 Bestimmung der nichtlinearen Kontaktsteifigkeit . . . . . . . . . . . . . . . 92 4.4 Bestimmung der Verschleißparameter . . . . . . . . . . . . . . . . . . . . . . 94 5 Simulationen 100 5.1 Betrachtung eines gleitenden Profilblocks . . . . . . . . . . . . . . . . . . . . 100 5.1.1 Simulationen bei hoher Gleitgeschwindigkeit ohne Verschleiß . . . . 100 5.1.2 Simulationen bei hoher Gleitgeschwindigkeit mit Verschleiß . . . . 103 5.1.3 Profilblockverhalten bei niedriger Gleitgeschwindigkeit . . . . . . . 106 5.1.4 Simulationen mit Normalkraftvorgabe . . . . . . . . . . . . . . . . . 114 5.1.5 Vergleich Experiment-Simulation . . . . . . . . . . . . . . . . . . . . 117 5.1.6 Variation der Profilblockgeometrie . . . . . . . . . . . . . . . . . . . 119 5.2 Betrachtung eines abrollenden Profilblocks . . . . . . . . . . . . . . . . . . . 124 5.2.1 Abrollkinematik . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 5.2.2 Einfluss der Fahrzeuggeschwindigkeit . . . . . . . . . . . . . . . . . 130 5.2.3 Einfluss des Schlupfwerts . . . . . . . . . . . . . . . . . . . . . . . . . 133 5.2.4 Einfluss des Kontaktdrucks . . . . . . . . . . . . . . . . . . . . . . . . 133 5.2.5 Kontaktkraftbetrachtungen . . . . . . . . . . . . . . . . . . . . . . . . 135 6 Zusammenfassung 139 Literatur 143

L’objectif de cette thèse est deconcevoir et de réaliser un moteurpiézoélectrique destiné à une application derécupération de chaleur du gaz d’échappement.Cette application nécessite un couplerelativement élevé, une compacité importante,une endurance thermique et un coût acceptable.Afin d’atteindre ce but, la conception du moteurpasse par le choix de son mode defonctionnement. Ce choix est fait en se basantsur des critères comme bas coût, fort couple etcompacité importante.Après la détermination de l’architecture dumoteur piézoélectrique, la modélisation estabordée. Le but du modèle est de calculer lescaractéristiques couple/vitesse connaissantses dimensions et ses matériaux, l’état desurface du contact, la précontrainte et la tensiond’alimentation.La modélisation développée était validée pardes mesures expérimentales.Dans la dernière partie, le moteur dimensionnéest réalisé et testé. Son comportementdynamique et ces caractéristiquescouple/vitesse étaient mesurés. A l’exceptiondu couple à l’arrêt et celui de blocage, toutes lesperformances requises par l’application étaientremplies.Finalement, les résultats de modèle sontcomparés aux mesures faites sur le prototype.Le comportement dynamique était bienreproduit par la modélisation. Néanmoins, uneimprécision du calcul des déplacements dustator était constatée. Cela implique uneimprécision du calcul des caractéristiquesmoteur. Il s’avère que cette imprécision est liéeà l’absence du coefficient d’amortissement decontact. / The goal of this thesis is to designand build a piezoelectric motor for an exhaustgas heat recovery application. This applicationrequires relatively high torque, highcompactness, thermal endurance and acceptablecost.In order to achieve this goal, the design of theengine passes by the choice of its mode ofoperation. This choice is made based on criteriasuch as low cost, high torque and compactness.After the determination of the architecture ofthe piezoelectric motor, the modelling isaddressed. The purpose of the model is tocompute the torque/speed characteristicsknowing the motor dimensions and materials,the surface state of the contact, the precompressionforce and the supply voltage.The modeling developed was validated byexperimental measurements.In the last part, the motor is build and tested. Itsdynamic behavior and torque/speedcharacteristics were measured. With theexception of the peak and blocking torque, allthe performances required by the applicationwere fulfilled.Finally, the model results are compared to themeasurements done on the prototype. Thedynamic behavior is well predicted by themodel. However, the model is not able tocompute accurately the stator displacements.This implies inaccuracy in the motorcharacteristics computation. It turns out thatthey are related to the absence of the coefficientof contact damping.

n recent years, there has been a surge in interest and research into the utilisation of soft actuators within the field of robotics, driven by the novel capabilities of their inherently compliant material. One such actuator is the Pneumatic Artificial Muscle (PAM) which offers a high power-to-mass ratio, compliance, safety, and biological mimicry when compared to their traditional counterparts. However, because of their flexible and complex physical structure and the compressibility of air inside the PAM, they exhibit nonlinear dynamic behaviour, largely due to the influence of the hysteresis phenomenon. In order to implement strategies to counteract this effect, it first needs to be modelled. As such, this thesis investigates two approaches, namely the Maxwell-Slip (MS) and generalised Bouc-Wen (BW) models. Firstly, the test muscle's initial braid angle, maximum displacement, and maximum force are determined to establish the static force using a modified model. Data is then collected on the PAM's force-displacement hysteresis for 2-6 bar of pressure. Using the results from these experiments, the MS and BW model parameters are identified through optimisation. With the static and hysteresis force components characterised, two complete dynamic models are created. The findings show that, when compared to the collected force-displacement data, the BW model has greater accuracy for all pressures except at 4 bar, although both approaches demonstrate results within a satisfactory margin. Lastly, a model validation is conducted to compare the models using a new dataset, separate from the one on which they were trained. Data for this test is recorded at a pressure of 4 bar with a more complex reference that covers four different regions of the muscle's displacement range. Thereafter, both dynamic models are applied to assess their performance. It is evident from the results that the BW model produces a better outcome than the MS, achieving a normalised error of 5.3746% as compared to the latter's 12.835%. The higher accuracy of the generalised BoucWen method is likely due to it having a more complex structure, specialised parameters, and the ability to model asymmetric hysteresis. The Maxwell-Slip model may however still be preferable in some applications due to its relative simplicity and faster optimisation. / Under de senaste åren har intresset och forskningen ökat kring användningen av mjuka ställdon inom robotik, drivet av den innovativa potentialen som erbjuds av egenskaperna hos deras naturligt flexibla material. Ett sådant ställdon är den Pneumatiska Artificiella Muskeln (PAM) som erbjuder hög kraft i förhållande till vikten, elasticitet, säkerhet och biologisk imitation jämfört med dess traditionella motsvarigheter. Trots dessa fördelar så uppvisar PAM:s ett icke-önskvärt olinjärt dynamiskt beteende, till stor del på grund av deras flexibla och komplexa fysiska struktur samt kompressibiliteten av luft inuti PAM:en. Dessa olinjäriteter orsakar hysteresfenomenet i muskeln. För att implementera strategier för att kunna motverka denna effekt så måste den först modelleras. Till följd därav så undersöker denna avhandling två tillvägagångssätt, nämligen Maxwell-Slip (MS) och den generaliserade Bouc-Wen (BW) modellen. Inledningsvis identifieras testmuskelns initiala flätvinkel, maximala förskjutning och maximala kraft för att fastställa den statiska kraften med hjälp av en modifierad modell. Data samlas sedan in på PAM:ens kraft-förskjutningshysteres för 2-6 bar av tryck. Med hjälp av resultaten från dessa experiment identifieras MS- och BW-modellparametrarna genom optimering. Med de statiska och hystereskraftskomponenterna karakteriserade kan två kompletta dynamiska modeller framkallas. Resultaten visar att jämfört med den insamlade kraft-förskjutningsdatan har BW-modellen en större noggrannhet för alla tryck förutom vid 4 bar, men båda metoderna uppvisar resultat som är inom en godtagbar marginal. Slutligen genomförs en modellvalidering för att jämföra modellerna med hjälp av ett nytt dataset, annorlunda från den som de tränades på. Datan för detta test mäts vid ett tryck på 4 bar med en mer komplex referens som täcker fyra olika regioner av muskelns förskjutningsområde. Därefter tillämpas båda dynamiska modellerna för att bedöma deras prestanda. Det är uppenbart från resultaten att BW-modellen ger ett bättre resultat än MS-modellen, och uppnår ett normaliserat fel på 5,3746% jämfört med den sistnämndas 12,835%. Den högre noggrannheten hos den generaliserade Bouc-Wen-metoden beror sannolikt på att den har en mer komplex struktur, specialiserade parametrar och förmågan att modellera asymmetrisk hysteres. Maxwell-Slipmodellen kan däremot ändå vara att föredra i vissa sammanhang på grund av dess relativa simplicitet och snabbare optimering

[pt] Os últimos leilões do pré-sal para exploração e produção de petróleo e gás no Brasil indicam que as operações de perfuração se tornarão mais intensas nos próximos anos. O processo de perfuração rotativo é amplamente utilizado para alcançar os reservatórios de petróleo e devido à relação diâmetro/comprimento do sistema de perfuração, o modo de vibração torcional está presente em quase todos os processos de perfuração, podendo chegar a um estado crítico indesejável: o fenômeno de stick-slip. Com o intuito de abordar este problema, o modo torcional é isolado e o stick-slip é observado em uma coluna de perfuração em escala reduzida completamente instrumentada. Durante o stick-slip, outro torque pode ser aplicado em uma posição intermediária da bancada de teste. O modelo matemático de parâmetros concentrados é obtido e o modelo é comparado com dados experimentais com o propósito de verificar se o modelo matemático representa o aparato experimental. Uma análise de estabilidade é feita usando o modelo validado com o objetivo de identificar soluções estáveis do sistema. Com isso, observou-se que existe uma faixa do parâmetro de bifurcação na qual soluções de equilíbrio e periódicas estáveis coexistem. Para uma dada situação de stick-slip na faixa de biestabilidade, duas estratégias de mitigação de vibração torcional foram consideradas e consistiram em impor perturbações no sistema por meio do torque na posição intermediária da bancada de teste: (i) torques aplicados apenas contra a direção de movimento do sistema, e (ii) torques aplicados em ambas as direções. As estratégias foram testadas numericamente e apresentaram eficiência de tal modo que o stick-slip foi completamente mitigado: as energias do sistema e o trabalho gerado pelo torque intermediário aplicado foram comparados com o propósito de avaliar a factibilidade e razoabilidade da estratégia. Experimentalmente, o sistema continuou a oscilar, porém apresentou uma significante redução na fase de stick mesmo com limitações de aplicações de torque. / [en] The latter round bids of the pre-salt for exploration and production of oil and natural gas in Brazil indicate the drilling operations will become more intense in coming years. The rotational drilling process is largely used to reach the oil reservoirs and because of diameter-to-length ratio of the drilling system, torsional vibration mode is present in most all drilling processes and may reach an undesired severe stage: the stick-slip phenomenon. In order to address this problem, the torsional vibration mode is isolated and the stick-slip is observed in a fully instrumented drill-string experimental set-up in this work. During this phenomenon, another torque may be applied on an intermediate position of the test bench. The lumped parameter mathematical model is obtained and it is compared to experimental data to validate whether the mathematical model represents the experimental apparatus. A stability analysis is performed using the validated mathematical model in order to identify stable solutions of the system. Therewith, one observed that there is a range of the bifurcation parameter in which stable equilibrium and periodic solutions may coexist. For a given stick-slip situation in bi-stability range, two mitigation strategies of torsional vibration were considered which consisted of imposing perturbations in the system via torques on the intermediate position of the test bench: (i) torques applied only against the direction of motion of the system, and (ii) torques applied in both directions. The strategies were tested numerically and presented eficiency so that the stickslip was completely mitigated: the energies of the system and the work created by the intermediate torque were compared in order evaluate the feasibility and reasonableness of the strategy. Experimentally, the system continued to oscillate, however it presented a significant reduction of stick phase even with limitations of torque applications.

[pt] Uma fase crítica do processo de obtenção do petróleo é a perfuração do solo para o acesso ao reservatório. Um dos problemas, em particular, é compreender o comportamento dinâmico da coluna de perfuração durante o processo de perfuração diante de diversos fatores como a interação broca-rocha, choques da coluna de perfuração contra a parede do poço, estratégias de controle da velocidade angular de operação e outros fatores. Uma etapa fundamental para lidar com este problema é a representação do sistema dinâmico para caracterizar a coluna de perfuração, isto é, o modelo matemático que representará a resposta dinâmica da estrutura diante dos carregamentos. Neste contexto, este trabalho abordará o problema da dinâmica de uma coluna de perfuração através de um modelo matemático baseado na teoria de Cosserat, que resultará em um sistema de seis equações diferenciais parciais que descrevem a resposta dinâmica de uma estrutura unidimensional, inserida no espaço euclidiano tridimensional, em termos das variáveis de deslocamento linear da curva e angular das seções. O modelo é capaz de descrever uma dinâmica não-linear, incluindo flexão, torsão, extensão e cisalhamento. Inicialmente, o sistema de EDPs é resolvido na forma quase estática, satisfazendo as condições de contorno, utilizando o método de Perturbação Regular. As soluções aproximadas são utilizadas como funções base para implementação no método de Elementos Finitos. Estas funções base são conhecidas como elemento de Cosserat Modificado (Modfied Cosserat Rod Element - MCRE). Verifica-se a limitação destas funções base para problemas que não envolvam grandes deslocamentos, não sendo adequadas para o problema proposto. Diante deste fato, o sistema de EDPs é escrito na forma fraca e resolvido por um software comercial de análise de Elementos Finitos considerando as condições de contorno, o modelo de interação broca-rocha, a estratégia de controle da velocidade angular e eventuais contatos da coluna contra a parede do poço. O modelo proposto produziu resultados que estão de acordo com a literatura e se mostrou capaz de lidar com grandes deslocamentos. / [en] A critical step in the oil exploration process is drilling the soil for access to the petroleum reservoir. One of the problems is understanding the dynamic behavior of the drill string during the drilling process in the face of various factors such as drill bit-rock interaction, drill string shocks against the well wall, angular velocity control strategies and other factors. A key part of dealing with this problem is the representation of the dynamic system to characterize the drill string, e.g., the mathematical model that will represent the dynamical response of the structure when facing different types of loads. In this context, this work will address the problem of the dynamics of a drill string using a mathematical model based on Cosserat theory that will result in a system of six partial differential equations that describe the dynamic response of a one-dimensional structure, inserted in three-dimensional Euclidean space, in terms of the linear displacement variables of the curve and angular displacement of the cross sections. The model is able to describe nonlinear dynamics, including flexure, torsion, extension and shear. Initially, the system of partial differential equations is solved in a quasi-static sense, satisfying the boundary conditions, using the Regular Perturbation method. The approximate solutions are used as shape functions for implementation in the Finite Element method. These shape functions are known as Modified Cosserat Rod Element (MCRE). It is verified that these shape functions are restricted to problems that do not involve large displacements and for this reason they are not suitable for the proposed problem. Given this fact, the system of partial differential equations is written in a weak form and solved by a commercial software based on Finite Element analysis, considering the boundary conditions, the drill bit-rock interaction model, the angular velocity control strategy and for any string contacts against the well wall. The proposed model produced results that are in agreement with the literature and is capable of dealing with large displacements.

International Telemetering Conference Proceedings / October 25-28, 1999 / Riviera Hotel and Convention Center, Las Vegas, Nevada / Current ground-based tracking systems at the DoD test and training ranges require transmission of a variety of signals from rotating platform to fixed control and process center. Implementation of commercial off the shelf (COTS) solution for transmitting high-speed, multiple-channel data signals over a rotational platform prompt the development of an advanced electro-optic hybrid rotating-to-fixed information transmission technology. Based on current demand, an Air Force-sponsored Small Business Innovative Research (SBIR) contract has been awarded to Physical Optics Corporation (POC) to modify existing tracking mounts with a unique electro-optic hybrid rotary joint (EOHRJ). The EOHRJ under current development is expected to provide the following features: 1) include a specially designed electrical slip-ring, which is able to accommodate hundreds of transmission channels, including electrical power, control, feedback, and low-speed data signals; 2) include an optical fiber slip-ring which, by incorporating with electrical time division mulitplexing (TDM) and optical wavelength division multiplexing (WDM) technologies, is able to provide multiple channel, high data rate (over gigabits per second), and bi-directional signal transmission; and 3) is designed to be reliable for harsh environmental operation, adaptive to stringent size requirement, and accommodating to existing electrical and mechanical interfaces. Besides the military use, other possible commercial applications include on board monitoring of satellite spinners, surveillance systems, instrumentation and multi spectral vision systems, emergency/medical instruments, remote sensing, and robotics.

Cette thèse porte sur l'étude de l'amortissement des structures assemblées, et plus précisément de la contribution des assemblages sous sollicitations vibratoires. Le mémoire est composé de cinq chapitres traitant la problématique tant du point de vue analytique qu'expérimental. Un banc d'étude académique est proposé afin d'étudier des assemblages sous sollicitation normale constante (statique) et sous sollicitations tangentielles liées aux vibrations de la structure (dynamique). Le facteur de perte caractérisant l'amortissement de la structure est obtenu, dans un premier temps par une étude locale quasi-statique. Puis une fonction de dissipation est définie, permettant d'affiner la modélisation de l'amortissement par une étude dynamique globale. Au regard des résultats obtenus par la modélisation, une analyse expérimentale est menée. Cela afin d'isoler la contribution, à l'amortissement de la structure, des glissements partiels dans les assemblages. Pour cela, deux structures géométriquement identiques, l'une monolithique et l'autre assemblée sont étudiées. Les effets des interfaces sont analysés puis comparés aux résultats analytiques. Afin de simuler plus précisément ces effets, une modélisation prenant en compte les défauts de forme des surfaces en contact est menée / This thesis presents a study of damping in assembled structures, or, more precisely, a study of the vibrations of assemblies under external excitations. The paper contains five chapters examining this problem from both analytical and experimental viewpoints. An academic investigation is presented as a foundation in order to study assemblies both under constant normal stresses (static), and under tangential stresses linked to the structural vibrations (dynamic). The loss factor that characterizes the damping of the structure is obtained through a quasi-static local study. Then, a dissipation function is given, which allows the refinement of the damping model through a global dynamic study. An experimental analysis is undertaken to examine the results obtained by the modeling. The objective of this analysis is to isolate the effects, at the structural damping, of partial sliding in the assemblies. To isolate these effects, two structures identical in shape and material, one assembled and one uniform, are studied. The data collected from the interfaces are analyzed, and then compared to the analytical results. In order to simulate these effects with greater precision, a modeling is undertaken that takes into account the defects of form for the surfaces in contact

Nous menons une étude en simulations atomiques des propriétés des dislocations vis <a> dans le zirconium et le titane pur, et de l'effet durcissant de l'oxygène dans ces deux métaux de transition de structure hexagonale compacte. Nous utilisons deux modèles énergétiques : les calculs ab initio, basés sur la théorie de la fonctionnelle de la densité, et les calculs en potentiel empirique.Ce travail permet d'abord d'établir le profil énergétique complet de la dislocation vis dans le Zr pur au cours de ses différents modes de glissement. Nos calculs révèlent l'existence d'une configuration métastable de la dislocation vis partiellement étalée dans le plan pyramidal de première espèce. Cette configuration est responsable du glissement dévié de la dislocation vis du plan prismatique, plan principal de glissement, vers le plan pyramidal ou le plan basal. Ce profil énergétique est modifié par l'ajout d'atomes d'oxygène en impureté. L'oxygène favorise le glissement dévié dans le plan pyramidal ce qui entraine un durcissement du glissement prismatique, et il piège la dislocation dans la configuration métastable sessile.La même démarche de modélisation est ensuite appliquée au titane. Dans le Ti pur, les mêmes configurations de la dislocation vis dans le Zr sont obtenues, mais avec des niveaux énergétiques différents. Ceci conduit à un mécanisme de glissement différent. Tout comme dans le Zr, l'oxygène favorise le glissement pyramidal dans le Ti en affectant la structure de cœur de la dislocation. De plus, la présence de l'oxygène fait baisser l'énergie de la configuration métastable mais pas suffisamment pour la piéger. / We performed atomistic simulations to determine screw dislocations properties in pure zirconium and titanium and to explain the hardening effect attributed to oxygen alloying in both hexagonal close-packed transition metals. We used two energetic models: ab initio calculations based on the density functional theory and calculations with an empirical potential.The complete energetic profile of the screw dislocation when gliding in the different slip planes is obtained in pure Zr. Our calculations reveal the existence of a metastable configuration of the screw dislocation partially spread in the first order pyramidal plane. This configuration is responsible for the cross slip of screw dislocations from prismatic planes, the easiest glide planes, to pyramidal or basal planes. This energy profile is affected by oxygen addition. Ab initio calculations reveal two main effects: oxygen enhances pyramidal cross slip by modifying the dislocation core structure, and pins the dislocation in its metastable sessile configuration.The same modeling approach is applied to titanium. In pure Ti, the same configurations of the screw dislocation in Zr are obtained, but with different energy levels. This leads to a different gliding mechanism. The same way as in Zr, oxygen enhances pyramidal glide in Ti by modifying the dislocation core structure. Besides, oxygen atom lowers the energy of the metastable configuration but not enough to pin the dislocation in this sessile configuration.

O presente trabalho propõe o entendimento do comportamento no estado fresco de argamassas colantes, com base na caracterização reológica e físico-química de diferentes composições comerciais, servindo de base para analisar o fenômeno de deslizamento, a partir do ensaio estabelecido na norma brasileira. Para isso, foi utilizado o ensaio “Squeeze flow" (escoamento por compressão axial), empregado na caracterização de argamassas de revestimento no laboratório de microestrutura do CPqDCC da EPUSP, como ferramenta de análise do comportamento de argamassas colantes. Neste ensaio, o escoamento do material decorre da aplicação de uma carga de compressão sobre a amostra no estado fresco, a qual ocasiona deslocamentos no seu interior devido a esforços de cisalhamento radiais originados durante o fluxo. O critério de seleção das argamassas colantes comerciais (tipo AC-I) se baseou nos resultados do ensaio de deslizamento, escolhendo-se duas com resultado muito abaixo do limite especificado, duas com resultado próximo do limite e outras duas com resultado acima do mesmo. A composição química e física foi caracterizada com o objetivo de embasar a análise dos resultados obtidos no “Squeeze flow". A separação da fração fina das argamassas na peneira no.200 contribuiu para o conhecimento da viscosidade da pasta e da sua influência no comportamento reológico das argamassas. Foi observado que as argamassas estudadas apresentam diferenças de composição físico-química e de comportamento reológico. As diferenças de comportamento reológico das argamassas decorrem, provavelmente, de ação sinérgica de alguns parâmetros da composição, com destaque para a distribuição granulométrica. O “Squeeze flow" mostrou-se uma ferramenta adequada na caracterização das argamassas colantes e contribuiu para explicar o deslizamento estabelecido na norma brasileira, pela proposição de modelos hipotéticos de comportamento. / Present thesis proposes the study of plastic-state behaviour of dry-set mortars based on the rheological and physicochemical characterization of different commercially available dry-set mortar compositions. Such characterization served as basis for the analysis of dry-set mortar slip phenomena using the tests recommended by brazilian standards (NBR). The Squeeze Flow test (slip by axial compression) originally used for coating mortars characterization by the EPUSP CPqDDC Microstructure Laboratory was adopted as a test tool for analysing the dry-set mortar behaviour. In the mentioned test the material slip is obtained by compressing the sample in its plastic state which caused internal displacements due to radial shearing tensions originated during the mentioned slip. The dry-se mortars (all of them AC-I type) used in the study were selected based in the slip tests results against brazilian standards specified limits resulting in the selection of two dry-set mortars below the specified limit, two dry-set mortars close to the specified limit and dry-set mortars above the specified limit. Chemical and physical compositions were characterized in order to serve as basis for Squeeze Flow results analysis. Fine fraction segregation, using number 200 sieve contributed to understanding of plastic-state mortar viscosity and its influence in mortar rheological behaviour. It was observed diverse physicochemical and rheological behaviour among the studied dry-set mortars. The rheological behaviour diversity of dry-set mortars were due to the synergy among some composition parameters, specially the granular distribution. The Squeeze Flow was considered a suitable tool for the characterization of dry-set mortars and contributed to develop hypotetical behaviour models that allowed to explain the slip as stated by brazilian standards.