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Les travaux présentés à travers ce manuscrit s'inscrivent dans un contexte de recherches exploratoires sur l'optimisation des surfaces engrenantes. Après une étude approfondie de l'emploi des engrenages dans un environnement aéronautique, l'élaboration d'une nouvelle méthodologie de génération de profils de denture est proposée. Les travaux s'attachent à caractériser le comportement mécanique spécifique d'un montage d'engrenages dans les Boites de Transmission de Puissances (BTP) d'hélicoptère.Un outil informatique a été créé dans le module VBA (Visual Basic Application) d'Excel. Il permet de créer automatiquement des profils de denture conjugués et optimisés. Il a l'avantage de définir analytiquement plusieurs grandeurs physiques. L'outil a ainsi pour objectif de proposer des profils de denture optimisés selon plusieurs critères. Les « objectifs » retenus sont le rendement et la contrainte équivalente de Hertz au contact suivant le critère de Von Mises.Les travaux s'articulent autour de trois axes : - la reconstruction de profils conjugués de denture par une approche novatrice basée sur le « contact », - la construction de critères physiques (glissement, pression, contrainte, …), - la recherche de profils de denture optimaux en utilisant la simulation de Monte Carlo.Enfin, la perspective de rendre générique cette méthode afin qu'elle puisse générer n'importe quels types d'engrenage est envisagée en fin de manuscrit. / The work described in the present manuscript is part of exploratory researches dealing with gears meshing surfaces optimization. After a short study of gears used in an aeronautical environment, the development of an innovative tool for tooth profile design is defined. Then, the specific behavior of a gear mesh within a helicopter main gearbox (MGB) is evaluated.A VBA software has been coded under MS Excel to generate conjugated and optimized gear tooth profiles. It advantageously defines and uses several physical parameters with their analytical formulation. The software provides at the user optimized tooth profiles according to a couple of criteria. The two “objective” functions evaluated are the efficiency and the Hertz equivalent stress within the contact using the Von Mises criterion.The work has been focused on three aspects:- The design of conjugated tooth profiles by contact sharing,- The definition of the relevant physical parameters,- The optimization of tooth profiles using Monte Carlo SimulationEventually, a generic method to design gear profiles, taking into account any physical parameters related to a gear mesh, could be expected as a future of this thesis work.

<p>  Sound transmission loss of vehicle seals was studied in this thesis. Reverberation room test and semi-anechoic chamber test were respectively studied. By comparing the sound pressure level, sound intensity level and average sound power level at the receiving side, it proved that a simple sound pressure level test may obtain same measurement accuracy when there is little reflected sound. A semi-anechoic chamber was designed for testing sound transmission losses of the seals on a trial vehicle. By comparing the sound pressure levels between the location of the passenger ear and door area, it proved that most of outside sound energy passed through the door seals into the interior. The sound transmission losses of different sealing conditions were measured which included well sealed and imperfectly sealed conditions; Sound pressure levels at passenger’s ear in three different types of vehicles were also compared, these comparison results indicated this laboratory was capable of distinguishing different sealing conditions. The installation procedure was compared with the one in reverberation room test. Numerical analysis showed that the latter method produced a different compression shape which would definitely influence the sound insulation abilities of the seals.</p><p>  The transmission mechanism of the acoustic waves through a vehicle seal was also discussed. Contact analysis showed high compression ratio leaded to tremendous inner stress intensity. But any further increase of the contact depth would not improve the effect of wind noise prevention. A vehicle seal with a complex shape was replaced by a simple model. The sound transmission theory of multiple partitions on the basis of mass law was applied. Whereas, compared with the experimental result, a different trend in the high frequency range was found. When taking the transmission though the side material and integration of incident angle into account, the result was quite similar to the experimental one. FEM analysis was also performed. The majority of sound power was believed to transmit along the seal wall into the interior instead of passing through the multiple partitions. A distorted circular duct model is believed to be close to the real geometry.</p><p> </p>

Sound transmission loss of vehicle seals was studied in this thesis. Reverberation room test and semi-anechoic chamber test were respectively studied. By comparing the sound pressure level, sound intensity level and average sound power level at the receiving side, it proved that a simple sound pressure level test may obtain same measurement accuracy when there is little reflected sound. A semi-anechoic chamber was designed for testing sound transmission losses of the seals on a trial vehicle. By comparing the sound pressure levels between the location of the passenger ear and door area, it proved that most of outside sound energy passed through the door seals into the interior. The sound transmission losses of different sealing conditions were measured which included well sealed and imperfectly sealed conditions; Sound pressure levels at passenger’s ear in three different types of vehicles were also compared, these comparison results indicated this laboratory was capable of distinguishing different sealing conditions. The installation procedure was compared with the one in reverberation room test. Numerical analysis showed that the latter method produced a different compression shape which would definitely influence the sound insulation abilities of the seals.   The transmission mechanism of the acoustic waves through a vehicle seal was also discussed. Contact analysis showed high compression ratio leaded to tremendous inner stress intensity. But any further increase of the contact depth would not improve the effect of wind noise prevention. A vehicle seal with a complex shape was replaced by a simple model. The sound transmission theory of multiple partitions on the basis of mass law was applied. Whereas, compared with the experimental result, a different trend in the high frequency range was found. When taking the transmission though the side material and integration of incident angle into account, the result was quite similar to the experimental one. FEM analysis was also performed. The majority of sound power was believed to transmit along the seal wall into the interior instead of passing through the multiple partitions. A distorted circular duct model is believed to be close to the real geometry. / QC 20101117

Les nano commutateurs magnétiques sont en cours d'étude et ils sont envisageables dans plusieurs domaines d'application comme les interrupteurs d'alimentation, les convertisseurs DC/DC...etc. Partant du besoin de modélisation et d'optimisation avec fiabilité de ces dispositifs, ces travaux de thèse se décomposent en trois axes. Axe modélisation : développement d'un modèle semi analytique pour calculer la déformation avec l'analyse de contact mécanique. Ce modèle a été introduit pour le couplage magnéto-mécanique dans le logiciel de modélisation de MEMS magnétiques MacMMems. Axe dérivation automatique de code : développement de JAP (Java Jacobian Automatic Programming) qui est un outil générique de dérivation d'algorithmes. Il a été appliqué pour le nano commutateur et a été introduit dans les outils de dimensionnement développés au G2Elab pour l'analyse de sensibilité, pour l'optimisation exploitant le Jacobien et aussi pour orienter des systèmes d'équations algébro-différentiels. Axe optimisation : mise en œuvre du modèle et des outils développés pour faire l'étude de sensibilité et l'optimisation sous contraintes de fiabilité du nano commutateur magnétique. / Magnetic nano switches are being studied and they are envisaged in several application areas such as power switches, DC / DC converters …etc. Hence the need for modelling and optimization with reliability of these devices, this thesis work is divided into three areas. Modelling: development of a semi analytical model to calculate the deformation with the analysis of mechanical contact. This model was introduced in the “MacMMems” software dedicated to the modelling of magnetic MEMS. Automatic differentiation : development of JAP (Java Jacobian Automatic Programming) is a generic algorithms derivation program. It has been applied to the nano switch and was introduced in G2Elab design tools for sensitivity analysis, for optimizing and also to solve differential-algebraic systems. Optimization: development the model and tools to study the sensitivity and reliability-based design optimization for magnetic nano switch.

This thesis deals with the contact analysis study of crown gear couplings during the simulation of its working conditions. The toothed coupling transmits high torque, even when the input and output shafts are misaligned due to outside tooth shape. For this reason, it is necessary to design the gear shape correctly. The inherent use of toothed couplings results in a wide range of working speeds and load transfers. This can cause several problems, if the parameters are selected incorrectly. Among the most significant of these is the generation of vibrations during gear engagement, accompanied by noise and the excessive loading of components, such as shafts and bearings. It is not possible to completely reduce uneven running, even with knowledge of the latest trends in the field of gear development. For this reason, it is necessary to eliminate the paths where the vibrations can propagate during the design itself. Inefficient and costly experiments are often used to determine the correct shape of gear teeth. For this purpose, a computational approach to describe a contact pressure on the teeth of couplings at different misalignment and loads is proposed. The model helps to understand the composition of the contact pressure during the working mode of misalignment and its behaviour within the rotation of the gear coupling. The introductory part of thesis presents the current state of knowledge of gear couplings and a description of load distribution issues, regarding the angular misalignment, torque and friction. In the following chapter, three possible approaches to the problem are described - analytical, experimental and computational. The following work offers the introduction and creation of two different computational models, varying in different tooth shape on the hub and the sleeve. Each geometry was subjected to a different load moment, a misalignment of the hub, or the rotation of the gear coupling as a whole. The main monitored parameter was the course of contact pressure in each step, when changing the degree of misalignment or the rotation of the model. Finally, three main sets of contact pressure on the teeth are presented, in connection with the reduced pressure plotted on the toothed rings. There is derivation of results and mutual comparison of each load case. The computation approach in FEM program Ansys Workbench was used to solve the problem.

The presented diploma thesis builds on author’s bachelor’s thesis of the similar name which was focused, in particular, on rhizarthrosis. Because of this joint disease, implantations of the total joint replacement are performed. The bachelor’s thesis also served as a familiarization with the finite element method and contact analyses issues, giving a theoretical framework for this diploma thesis. As opposed to that, the diploma thesis aims entirely at deformation and stress analysis of the total replacement. The main objective is to carry out analyses of different variants of geometric models. In addition, there is a tendency to analyze contact pressures of advanced model concerning all the total replacement, bone tissues, ligaments and tendons guaranteeing the static equilibrium of components. The bachelor’s thesis has been developed in ANSYS Workbench, whereas the diploma thesis in ANSYS APDL. Work in APDL allows user to control better over the entire computational process, however, requires more skills and theoretic knowledge. Contact analyses bring a lot of problems associated with convergence of procedures and accuracy of results. Therefore, explanations of important terms and set of recommendations are included for the purpose of easier solving of the contact problems.

Diese Arbeit beschäftigt sich mit speziellen Methoden zur näherungsweisen Berechnung der Zahnverformungen sowie -spannungen im Kontext der Zahnkontaktsimulation von Kegelrad- und Hypoidverzahnungen. Die näherungsweise Berechnung ermöglicht kurze Simulationszeiten und ist damit die Voraussetzung für eine effiziente Verzahnungsoptimierung. Die Anwendung neuer Fertigungsverfahren ermöglicht es, dabei geometrische Ausprägungen des Zahnprofils, Zahnfußes und der Flankentopologie zu realisieren, die mit den speziellen Methoden der näherungsweisen Berechnung bisher nicht oder nur unzureichend genau abgebildet werden können. In der vorliegenden Arbeit werden deshalb Näherungsmethoden entwickelt, mit denen z.B. auch Zahnprofile mit großer Asymmetrie, elliptischen Zahnfußkurven und logarithmischen Flankentopologiemodifikationen zuverlässig berechnet werden können.:1 Einleitung 2 Stand der Technik 2.1 Zahnkontaktsimulation 2.2 Die Verzahnungsgeometrie als Basis der Zahnkontaktsimulation 2.3 Methoden für die Zahnkontaktsimulation 2.3.1 Komplexe Methoden für die Verformungs- und Spannungsberechnung 2.3.2 Näherungsmethoden für die Verformungs- und Spannungsberechnung 2.4 Verzahnungen mit Sondermerkmalen 3 Zahnkontaktsimulation auf Basis der Einflusszahlenmethode 3.1 Herangehensweise bei der Betrachtung 3.2 Zerlegung der Verformungen und Spannungen in lineare und nicht lineare Anteile 3.3 Annahmen für die Formulierung des Zahnkontaktproblems 3.4 Bestimmung der potenziellen Zahnkontakte 3.5 Einflusszahlenmethode 3.6 Lösung des reibungsfreien Zahnkontaktproblems 3.7 Radkörpereinfluss 3.8 Wechselwirkung zwischen den Zähnen 4 Näherungsweise Biegeverformungsberechnung 4.1 Vereinfachung der Verzahnungsgeometrie 4.2 Berechnungsmethode 4.3 Allgemeine Verformungsabklingfunktion 4.3.1 Allgemeine Verformungsabklingfunktion für den unendlich langen Zahn 4.3.2 Allgemeine Abklingfunktion für den endlich langen Zahn 4.3.3 Berechnung der Zahnverformung unter Einzelast mittels FEM 4.3.4 Einfluss der Kraftangriffshöhe und der Profilform 4.3.5 Fehlerverhalten der allgemeinen Verformungsabklingfunktion 4.3.6 Einfluss der veränderlichen Normalschnittgeometrie 4.4 Bezugswert der Biegeverformung 4.4.1 Näherungslösung 4.4.2 Wahl einer Methode zur Verbesserung der Bezugswertberechnung 4.4.3 Auswahl des BEM-Verfahrens 4.4.4 Verfahrensbeschreibung für das BEM-Programm-Modul 4.4.5 Auswertung der BEM-Verformungen an der Stelle einer Streckenlast 4.4.6 Überprüfung des BEM-Programm-Moduls und Genauigkeitsbewertung 4.4.7 Effiziente Berechnung des BEM-Bezugswerts 4.5 Korrekturen für den Ersatzzahn 4.5.1 Stirnseitenunstetigkeit 4.5.2 Krümmungseigenschaften des Zahnes 4.6 Zahnberandungseinfluss 4.7 Berechnung der verbesserten Biegeverformungseinflusszahlen 5 Näherungsweise Berechnung der Kontaktverformung und -spannung 5.1 Vereinfachung der Kontaktgeometrie 5.2 Berechnung der Kontaktverformungseinflusszahl und der Kontaktspannung mit der ZZM 5.3 Komplexe Einflüsse auf die Kontaktverformung und -spannung 5.3.1 Wechselwirkungseinfluss 5.3.2 Zahnberandungseinflüsse 5.4 Erweiterung der ZZM zur Berücksichtigung von Kopfkanten 5.5 Verbesserte Berechnung der Kontaktverformungseinflusszahl und der Pressung 6 Näherungsweise Berechnung der Zahnfußspannung 6.1 Berechnungsmethode 6.2 Allgemeine Spannungsabklingfunktion 6.2.1 Allgemeine Spannungsabklingfunktion für den unendlich und endlich langen Zahn 6.2.2 Einfluss der Kraftangriffshöhe und der Profilform 6.2.3 Fehlerverhalten der allgemeinen Spannungsabklingfunktion 6.3 Bezugswert der Zahnfußspannung 6.4 Korrektur für den Ersatzzahn 6.4.1 Einfluss des Schrägungswinkels auf die Zahnbreitenlage des Zahnfußspannungsmaximums 6.4.2 Stirnseitenunstetigkeit 6.4.3 Einfluss der Zahnwindung auf die Zahnfußspannung 6.4.4 Einfluss der Flankenlinienkrümmung auf die Zahnfußspannung 6.5 Berechnung der Zahnfußspannung nach der verbesserten Methode 7 Verifikation und Validierung der verbesserten Berechnungsmethoden 7.1 Herangehensweise bei der Verifikation und Validierung 7.2 Verifikation 7.2.1 Allgemeine Vorbetrachtungen zur Genauigkeit 7.2.2 Sensibilitätsstudie 7.3 Validierung 7.3.1 Vorgehensweise bei der Validierung 7.3.2 Ausgewählte Messungen von Paul 7.3.3 Tragbildvergleich an Praxisverzahnungen 7.4 Konvergenzverhalten bei der Zahnkontaktsimulation mit BECAL-BEM 8 Zusammenfassung und Ausblick