Les engrenages spiro-coniques sont utilisés dans les transmissions de puissance nécessitant un renvoi d’angle, par exemple dans le domaine aéronautique ou automobile. Ces engrenages admettent des puissances et des vitesses importantes. La fabrication des engrenages spiro-conique est complexe. De nombreuses études ont été réalisées sur son optimisation pour définir les profils des dents en contacts. Des travaux existent également pour le dimensionnement statique des dentures. L’aspect dynamique est l’objectif du travail de cette thèse. Des approches théoriques et numériques, pour simuler les vibrations d’engrènement dans des couples spiro-coniques, sont présentées et discutées. Plusieurs modèles ont été développés : torsionnel et tridimensionnel, incluant la prise en compte de défauts de position et d’alignement. Un modèle original (tridimensionnel local), est proposé. Il repose sur des analyses quasi-statiques préalables. Il permet de suivre les évolutions des conditions de contact instantanées sur les flancs de denture. Une approche alternative est également présentée, qui conduit à construire des termes d’excitation globaux en termes d’erreurs de transmission et de raideurs d’engrènement, permettant ainsi de s’affranchir d’algorithmes de contact au cours de la résolution dynamique. Des comparaisons ont été menées avec des résultats quasi-statiques et dynamiques issus de la littérature. / Spiral bevel gears are employed in power transmissions which require motion transfer between crossed axes in aerospace and automotive applications for instance. Such gears can transmit large powers and high speeds. The manufacturing of spiral bevel gears is complex. A number of studies have been conducted in order to optimise the mating tooth flank geometry and the static load distribution on the teeth. The main objective of this work is to tackle the dynamic behaviour of spiral bevel gears. Several theoretical and numerical approaches aimed at simulating mesh vibrations are presented and commented upon. Several models have been developed which comprise torsional and three-dimensional models including the influence of position errors and misalignments. An original three-dimensional local model is set up which is based on prior quasi-static analyses and makes it possible to follow the instant contact conditions on the tooth flanks. An alternative formulation is also introduced which relies on global forcing terms derived from transmission errors together with mesh stiffness and does not necessitate the use of a contact algorithm when integrating the equations of motion. A number of comparisons with quasi-static and dynamic results from the literature are presented which illustrate the interest of the proposed methodology.

Les travaux décrits dans ce mémoire ont pour objet l’étude de la réactivité des ω-céto-esters acétyléniques vis-à-vis des métaux de transition. Lorsque ces composés sont traités avec une mélange Ti(OiPr)4/iPrMgBr, la formation d’alcools allyliques bicycliques est observée avec une totale diastéréosélectivité par rapport à la jonction de cycle (cis) et une configuration (E) pour la double liaison. Il a été montré que ces produits peuvent être transformés en lactone α,β-insaturé, sous-structures de produits naturels. La cycloisomérisation d’alcynyl cétones catalysées par des sels d’Ag(I) conduit à la formation de composés spiraniques. En piégeant l’intermédiaire réactionnel, la synthèse des composés vinyl-iodés correspondants a été réalisée. Si la réaction de cycloisomérisation est effectuée avec des ω-céto-esters acétyléniques, des ester α,β-insaturés sont isolés. Les produits obtenus ont ensuite été utilisés comme substrats pour la formation de systèmes tricycliques 6-5-5 et 6-6-5. Ces enchaînements de cycles sont présents dans le squelette carboné d’une grande variété de produits naturels. Les travaux décrits dans ce mémoire ont pour objet l’étude de la réactivité des ω-céto-esters acétyléniques vis-à-vis des métaux de transition. Lorsque ces composés sont traités avec une mélange Ti(OiPr)4/iPrMgBr, la formation d’alcools allyliques bicycliques est observée avec une totale diastéréosélectivité par rapport à la jonction de cycle (cis) et une configuration (E) pour la double liaison. Il a été montré que ces produits peuvent être transformés en lactone α,β-insaturé, sous-structures de produits naturels. La cycloisomérisation d’alcynyl cétones catalysées par des sels d’Ag(I) conduit à la formation de composés spiraniques. En piégeant l’intermédiaire réactionnel, la synthèse des composés vinyl-iodés correspondants a été réalisée. Si la réaction de cycloisomérisation est effectuée avec des ω-céto-esters acétyléniques, des ester α,β-insaturés sont isolés. Les produits obtenus ont ensuite été utilisés comme substrats pour la formation de systèmes tricycliques 6-5-5 et 6-6-5. Ces enchaînements de cycles sont présents dans le squelette carboné d’une grande variété de produits naturels. / In this work, the reactivity of acetylenic ω-ketoesters towards different metal complexes was investigated.
 When acetylenic ω-ketoesters are submitted to Ti(OiPr)4/iPrMgBr, the formation of fused bicyclic γ-hydroxy-α,β-unsaturated esters was observed. The products were obtained with absolute selectivity in regard to the ring junction formed (cis) and the configuration of the double bond (E) and could be transformed into the corresponding α,β-unsaturated lactones, substructures of various natural products. When ω-ketoalkynes are used in Ag(I)-catalyzed cycloisomerization reactions, the formation of spirocyclic compounds was observed. By taking advantage of the reaction intermediates of this reaction, it was possible to isolate the corresponding spirocyclic alkenyl iodides. Performing cycloisomerization reactions with acetylenic ω-ketoesters, spirocyclic α,β-unsaturated esters are formed. We could show that these products are valuable substrates for the formation of 6-5-5- and 6-6-5-fused tricyclic systems which represent the skeleton of a large group of natural products.

La catalyse organométallique est l'un des piliers de la synthèse chimique moderne. Elle permet notamment la formation rapide de liaisons carbone-carbone et carbone-hétéroatome, processus les plus importants pour la fabrication des milliers de composés nécessaires à la vie contemporaine. Elle répond également aux critères d'économie d'atomes et d'énergie, et de réduction des déchets, des risques et des coûts de mise en oeuvre d'une réaction chimique.Parmi les thématiques les plus récentes de la synthèse organique, la catalyse homogène à l'or s'est imposée en seulement quelques années comme un outil synthétique très puissant. Elle autorise la génération rapide de complexité moléculaire à partir de substrats simples par l'activation d'insaturations carbonées. Durant ces études, nous avons tenté de tirer profit du caractère carbophile des complexes d'or (1) et (Ill) mais aussi de leur affinité pour certaines fonctions polaires pour transformer des hétérocycles acétyléniques en composés hétéropolycycliques dans des réactions en cascade. La réactivité complémentaire des complexes d'argent (1) a également été exploitée, ces derniers présentant de surcroît une sélectivité remarquable pour la déprotection d'éthers de méthoxybenzyle. / Organometallic catalysis is a key tool of modern chemical synthesis. lts use is ubiquitous in the preparation of bulk or fine chemicals, in particular for the assembly of carbon-carbon and carbon-heteroatom bonds. Besides its overall efficiency, it responds to the responsible criteria of energy and atom economy, the reduction of waste, risk, and financial costs needed to perform a chemical reaction.ln just a few years, homogenous gold catalysis has emerged as an invaluable tool for the fast generation of molecular complexity. lndeed, it allows the strong electrophilic activation of unsaturated hydrocarbon moieties (e.g. alkynes or alienes). During this PhD thesis, we focused our studies on the use of gold's pi acidity as weil as its "classical" - but less discussed - Lewis acid character for the triggering of cascade reactions.Starting from acetylenic heterocycles, we targeted the synthesis of polycyclic compounds. The milder reactivity of silver complexes was also found useful in these reactions, as weil as in the deprotection of methoxybenzyl ethers.

Ce travail de recherche s’interroge sur l’usage des langues dialectales dans le théâtre italien contemporain. De fait, celles-ci restent une source d’inspiration importante dans les créations les plus innovantes des trente dernières années, malgré l’affirmation de l’italien sur tout le territoire national depuis l’Unité. Cette étude s’interroge sur les valeurs et les enjeux de ces langues dialectales dans un théâtre actuel qui est, pour une part importante, le fait d’acteurs-auteurs : ainsi, la relation qui s’établit entre l’artiste, à la fois créateur et interprète, et la langue théâtrale, s’appuie sur une approche de l’élément langagier qui est aussi fondamentalement pré-cognitive, voire corporelle.Après avoir élucidé dans un premier temps les dynamiques linguistiques à l’œuvre dans le théâtre italien depuis l’Unité, cette étude se resserre autour de la pratique de cinq acteurs-auteurs contemporains : Marco Paolini, Ascanio Celestini, Spiro Scimone (Compagnia Scimone Sframeli), Emma Dante (Compagnia Sud Costa Occidentale) et Enzo Moscato. L’analyse du parcours de chacun de ces artistes, ainsi que d’une œuvre en particulier, se propose d’établir une cartographie du théâtre italien contemporain puisant dans les dialectes la matière de sa langue théâtrale. Il s’agit de mettre en évidence les lignes de fuite de créations qui interrogent trois notions clés au cœur de l’analyse : le temps, le territoire et l’identité, notions qu’une réflexion constante sur le concept de limite et de frontière affine et redéfinit progressivement. / This doctoral dissertation deals with the use of dialectal languages in the contemporary Italian theater. Indeed, these languages remain an important source of inspiration in the most innovating creations of the last thirty years, in spite of the paramount place the Italian language has come to have in the whole national territory since the Italian Unification. This study deals with the values and with what is at stake in these dialectal languages in today's theater which is, most of the time, created by actors-authors: therefore, the relationship between the artist, who is both creator and performer, and dramatic language, relies on a way of tackling the linguistic element that is fundamentally precognitive and corporal as well.After having cleared up the linguistic dynamics in the Italian theater since the Unification ; the study focuses on the work of five contemporary actors-authors: Marco Paolini, Ascanio Celestini, Spiro Scimone (Compagnia Scimone Sframeli), Emma Dante (Compagnia Sud Costa Occidentale) and Enzo Moscato. Studying the work of these artists, as well as a specific play, intends to draw up a cartography of the contemporary Italian theater that is inspired by dialect languages to create its own dramatic language. The study aims to lay emphasis on the convergence lines of creations which deals with three key notions, at the core of the study: time, territory and identity. These three notions will be progressively redefined and precised by working on the idea of limit and boundary. / Questo lavoro di ricerca si interroga sull’uso delle lingue dialettali nel teatro italiano contemporaneo. Infatti, esse restano un’importante fonte d’ispirazione nelle creazioni più innovative degli ultimi trent’anni, nonostante l’affermarsi dell’italiano sull’intero territorio nazionale a partire dall’Unità. Questo studio si interroga sui valori e sul peso di queste lingue dialettali nel teatro odierno che, in larga parte, viene realizzato da attori-autori: perciò, la relazione che si stabilisce tra l’artista, insieme creatore ed interprete, e la lingua teatrale è fondata su un approccio fondamentalmente pre-cognitivo, e perfino corporeo, dell’elemento linguistico.Dopo aver chiarito, in un primo momento, le dinamiche linguistiche in atto nel teatro italiano sin dall’Unità, questo studio si accentra intorno alla pratica di cinque attori-autori contemporanei: Marco Paolini, Ascanio Celestini, Spiro Scimone (Compagnia Scimone Sframeli), Emma Dante (Compagnia Sud Costa Occidentale) e Enzo Moscato. L’analisi del percorso di ognuno di questi artisti, nonché di una loro opera in particolare, mira a stabilire una cartografia del teatro italiano contemporaneo che attinge dai dialetti la materia della propria lingua teatrale. Si tratta di evidenziare le linee di fuga di creazioni che interrogano tre nozioni-chiave al cuore dell’analisi: il tempo, il territorio e l’identità, nozioni affinate e progressivamente ridefinite da una costante riflessione sul concetto di limite e di confine.

The solid-state dye sensitized solar cell (SDSC) is an emerging photovoltaic technology which promises inexpensive materials, roll-to-roll processing, and a stable architecture. In this thesis, I seek to enhance electronic transport in order to enable thicker devices and yield higher power conversion efficiencies. I adopt a multipronged approach to advance three aims, employing analytical, computational, and experimental methodologies. First, I generalize existing models of the dye sensitized solar cell (DSSC) to allow simple parameter fitting of real devices and to account for previously ignored electronic processes. In Chapter 3 and Chapter 4 I present a nondimensional model capable of fitting real devices and simulating transient behavior without extensive material knowledge. Subsequently in Chapter 5, I introduce a novel three-dimensional model which incorporates electronic drift. Second, in Chapter 4 I critically assess a widespread method of measuring the charge collection efficiency, the summary metric that describes the efficacy of charge transport in the SDSC. I discover that the conventional method is inaccurate for values of the collection efficiency below 90% because of large experimental error and an intrinsic inaccuracy in applying a transient method to measure a steady-state parameter. Third, I aim to increase the rate of charge transport by employing new materials and nanostructures in the place of conventional nanocrystalline TiO2. In Chapter 5, I present evidence of faster transport and enhanced efficiency in flexible SnO2 nanowire SDSCs, ZnO nanowire SDSCs, and the first viable SnO2/P3HT SDSC, where photoanode and hole transporter have been replaced with higher mobility materials. Finally, in Chapter 6, I investigate use of TiO2 mesoporous single crystals (MSCs) with high surface area and extended crystallinity. After demonstrating the viability of MSCs in SDSCs, I examine enhanced transport caused by the background doping effect of thermal treatment. Together, the progress achieved toward diverse and ambitious goals advances the field and delineates routes to future progress for SDSC development.

This thesis presents novel materials for photovoltaic conversion. The materials described are solution-processable organic semiconductors and have been used in the fabrication of organic photovoltaic cells (OPVs). The widely used PEDOT:PSS layer was investigated in P3HT and PTB7 photovoltaics. By doping, the efficiencies recorded were amongst the highest reported in the field using a conventional architecture. Two low band-gap BODIPY-based polymers were introduced and shown to have properties favourable for optoelectronics. Photovoltaics consisting solely of the polymers as the active component surpassed the performance expected without the use of an acceptor, indicating ambipolar behaviour, which was verified by charge carrier mobility measurements. When blended with an acceptor, the devices demonstrated a short-circuit current density similar to that of P3HT, a well-studied and successful OPV material. They also revealed a broad spectral response and were shown to operate as photodiodes. Two small molecules containing diketopyrrolopyrrole (DPP) and BODIPY were introduced and characterised. The addition of thiophenes red shifted the absorption but did not result in a sufficient bathochromic shift. Instead, a propensity to aggregate limited the performance. PLQY measurements showed the aggregation to quench luminescence. The study demonstrated the importance of controlling aggregation for efficient devices. Two solution-processable small molecules with a germanium-bridged spiro centre were investigated, and the molecular, electrochemical and optical properties discussed. The small molecule with shorter conjugation length exhibited an interesting packing motif shown to be favourable for charge transport. The mobility measurements were an order of magnitude higher than those reported for sexithiophene, a small molecule analogue, and the same order of magnitude as P3HT. The two-dimensional charge transporting nature of the material was verified with two independent techniques: time of flight (TOF) and organic field-effect transistor (OFET) measurements. The mobility of the material was found to vary with annealing, a result of morphological changes. These were studied with optical, electron and scanning probe microscopies. By controlling the morphology with the implementation of a well-defined annealing method, it was possible to improve the performance of OFETs and planar-heterojunction OPVs. Solution-processed bulk-heterojunction OPVs were fabricated, characterised and optimised with Ge spiro molecules. A PCE similar to that of P3HT, 2.66 %, was achieved for the one, whilst a PCE of 1.60 % was obtained for the other. The results are encouraging, and there is scope for improvement by increasing the overlap between the absorption and solar spectrum, for example.

The thesis entitled ‘Studies of NIS Mediated Cyclopropane Ring Opening Reactions in Carbohydrate Chemistry’ is divided into four chapters. Chapter 1: Section 1: Efficient Synthesis of Fused Perhydrofuro[2,3-b]pyrans (and furans) by Ring Opening of 1,2-Cyclopropanated Sugar Derivatives. In this section a general and efficient methodology for the synthesis of carbohydrate derived perhydrofuro[2,3-b]pyrans (and furans) from the corresponding 1,2-cyclopropane carboxylates has been discussed. A wide range of linear-fused perhydrofuro[2,3-b]pyran or furan ring systems are encountered in a number of biologically active natural products. A few approaches are available for the construction of this kind of fused motifs which involve harsh reaction conditions and lengthy reaction sequence. The methodology utilizes the potential ability of cyclopropanated sugars to undergo N-iodosuccinimide (NIS) mediated electrophilic ring opening assisted by the pyran ring oxygen followed by intramolecular trapping of oxonium intermediate to generate the furan ring system. Cyclopropantion of tribenzyl glucal using methyl diazoacetate and catalytic amount of dirhodiumtetracetate furnished corresponding exo-1,2-cyclopropane carboxylate exclusively. To generate a nucleophile, cyclopropane carboxylate ester was reduced to the corresponding alcohol which upon treatment with NIS in CH3CN underwent ring opening followed by intramolecular ring closure to give the corresponding perhydro[2,3-b]furopyran along with an oxidized product. After various modifications we found that using CH2Cl2 as a solvent gave the expected perhydrofuropyran as the sole product in good yield (Scheme I). The stereochemistry of the product was established on the basis of 1H-1H NOESY experiment. There are many natural products that contain the perhydrofuro[2,3-b]furyl glycal core such as clerodin, jodrelline B and caryoptin, which show insect anti-feedant properties. With this in mind, the methodology has been successfully extended to the cyclopropanated tetrahydrofuran derivatives resulting in the synthesis of furofuryl glycal moiety (Scheme II). Scheme II Chapter 1: Section 2: Synthesis of Carbohydrate Derived Fused Perhydrofuro/pyrano[2,3-b]-γ-butyrolactones. In this section a general and efficient methodology for the synthesis of carbohydrate derived perhydrofuro/pyrano[2,3-b]-γ-butyrolactones has been discussed. The fusion of the γ-butyrolactone onto a substituted tetrahydrofuran/pyran ring makes a distinctive class natural diterpenoids. Representative members of this family include the marine diterpenoids norrisilide and miniolutelide A. In this chapter we describe a neutral and general method for the construction of perhydrofuro/pyrano[2,3-b]-γ-butyrolactones by NIS mediated ring opening of carbohydrate derived 1,2-cyclopropane carboxylic acids (Scheme III). Scheme III The present strategy is complementary to the existing methods and it is useful since it incorporates an additional chiral center in the molecule under milder conditions, which can be used for further transformations. Chapter 2: Ring Opening of Activated Cyclopropanes with NIS/NaN3: One-pot Synthesis of C-1 Linked Pseudo Disaccharides. Ring opening reactions of activated cyclopropanes have been widely used in organic synthesis. But they are restricted to only selected nucleophiles such as alcohol/ water, as most of the ring opening reactions need acidic activation. This chapter deals with studies of reactivity of various activated cyclopropanes with NIS as a neutral activator and sodium azide as a source of nitrogen nucleophile (Scheme IV). Scheme IV We have clearly demonstrated not only the importance of the donor-acceptor feature in the cyclopropanes in the electrophilic ring opening reaction, but also the selectivity in its functionality. Scheme V This methodology has been successfully utilized in a one-pot synthesis of C-1 linked pseudo-disaccharides from carbohydrate derived 1,2-cyclopropane carboxylates (Scheme V). Chapter 3: Synthesis of Unnatural C-2 Amino Acid Nucleosides Using NIS Mediated Ring Opening of 1,2-Cyclopropane Carboxylated Sugar Derivatives. In this chapter, we have efficiently demonstrated the utility of NIS mediated regioselective ring opening of carbohydrate derived donor-acceptor cyclopropanes for the synthesis of C-2 amino acid nucleosides. This leads to a new class of analogs of peptidyl nucleosides (Scheme VI). Scheme VI One of the advantageous factors is the attachment of nucleobase as well as generation of amino acid precursor in the same reaction which avoids lengthy reaction sequence. We have also shown the synthetic utility of our methodology to pyrimidine based furanosyl C-2 amino acid nucleosides which are of interest, since polyoxins having similar structural core exhibit antifungal activity (Scheme VII). Chapter 4: Attempts Towards the Synthesis of Carbohydrate Derived Spiro-perhydrofuropyrans Using NIS Mediated Cyclopropane Ring Opening Reaction. In this chapter we present various attempts to synthesize spiro-perhydrofuropyran/furans by ring opening of spiro-cylopropane derivatives and attempts towards stereoselective synthesis of spiro-cyclopropane carboxylates. Spiroacetal can be synthesized from the corresponding exo-cyclopropyl methanol, which can be obtained from the corresponding exo- cyclopropane carboxylate. The cyclopropyl carboxylate can be obtained from an exo- vinyl ether. Cyclopropanation of carbohydrate derived exo-glycal failed to give any selectivity under a variety of reaction conditions (Scheme VIII). Carbohydrate derived C1-unsaturated ester on cyclopropanation reaction using standard conditions (Pd(OAc)2/CH2N2) was found to be inert. The reaction under Simmons-Smith cyclopropanation conditions also gave similar results. Reduction of the ester part of the molecule to the corresponding alcohol was found to be helpful in the Simmon-Smith cyclopropanation reaction (CH2I2, Et2Zn) to obtain the corresponding exo-cyclopropane, but disappointingly without any selectivity (Scheme IX). In order to get exo-cyclopropane carboxylate with high stereoselectivity, we decided to use one of the hydroxyl group present in the molecule, as a chiral auxiliary. All the established methods for the diazoester formation failed to attach diazo ester at C-4 position (Scheme X). Scheme X (For structural formula pl see the pdf file)

Photoelectron spectroscopy is an experimental method to study the electronic structure in matter. In this thesis, a combination of soft and hard X-ray based photoelectron spectroscopy has been used to obtain atomic level understanding of electronic structures and energy level alignments in mesoscopic solar cells. The thesis describes how the method can be varied between being surface and bulk sensitive and how to follow the structure linked to particular elements. The results were discussed with respect to the material function in mesoscopic solar cell configurations. The heart of a solar cell is the charge separation of photoexcited electrons and holes, and in a mesoscopic solar cell, this occurs at interfaces between different materials. Understanding the energy level alignment between the materials is important for developing the function of the device. In this work, it is shown that photoelectron spectroscopy can be used to experimentally follow the energy level alignment at interfaces such as TiO2/metal sulfide/polymer, as well as TiO2/perovskite. The electronic structures of two perovskite materials, CH3NH3PbI3 and CH3NH3PbBr3 were characterized by photoelectron spectroscopy and the results were discussed with support from quantum chemical calculations. The outermost levels consisted mainly of lead and halide orbitals and due to a relatively higher cross section for heavier elements, hard X-ray excitation was shown useful to study the position as well as the orbital character of the valence band edge. Modifications of the energy level positions can be followed by core level shifts. Such studies showed that a commonly used additive in mesoscopic solar cells, Li-TFSI, affected molecular hole conductors in the same way as a p-dopant. A more controlled doping can also be achieved by redox active dopants such as Co(+III) complexes and can be studied quantitatively with photoelectron spectroscopy methods. Hard X-rays allow studies of hidden interfaces, which were used to follow the oxidation of Ti in stacks of thin films for conducting glass. By the use of soft X-rays, the interface structure and bonding of dye molecules to mesoporous TiO2 or ZnO could be studied in detail. A combination of the two methods can be used to obtain a depth profiling of the sample.

La diminution de l’impact environnemental des moteurs électriques conduit à des améliorations du rendement et de la compacité. Puisque la taille de la transmission est réduite, des problèmes d’échauffements peuvent apparaître car la surface d’échange avec l’environnement est fortement réduite, diminuant les possibilités de refroidissement. L’ensemble du système doit être caractérisé en termes de pertes de puissance et de capacité de transfert thermique pour déterminer si la température maximale en fonctionnement correspond aux exigences de fiabilité tout au long de la durée de vie du système. Cette thèse propose un modèle thermique d’une transmission avec des engrenages spiraux coniques, lubrifiée par bain d’huile. Le modèle thermique utilise la méthode des réseaux thermiques. Par conséquent, une estimation précise des pertes et des transferts thermiques entre les différents éléments est nécessaire. Une revue des méthodes existantes est présentée, indiquant que les pertes par barbotage des engrenages spiraux coniques ne sont pas totalement maîtrisées, entraînant la conduite d’une série d’essais sur un banc d’essai dédié. Cette étude se conclue sur l’application du modèle à la transmission ainsi que la proposition de points d’améliorations. / Environmental concern leads to improvements in both efficiency and power density of electrical motors. For compact transmissions, thermal issues can become critical: the surface available for thermal exchange with the environment is reduced, minimizing the possibility to cool down the elements. To ensure the system reliability, the operating temperature for each operating condition must not exceed the required maximum oil temperature. In order to evaluate its thermal behavior, the whole system should be therefore evaluated in terms of power losses and heat transfer. This PhD proposes a thermal model of an existing oil bath lubricated gear unit with spiral bevel gears. The thermal model uses the thermal network method, which needs an accurate prediction of power losses of the different elements and heat transfer between them. A review of the existing methods is presented. Since the churning losses of spiral bevel gears has never been fully characterized, specific tests have been done on a dedicated test bench. The last part of this work suggests possible improvements on the gearbox design.

La conception des engrenages spiro-coniques reste encore très complexe de nos jours car la géométrie des dentures, et donc les performances cinématiques, découle du mode de fabrication de ce type d’engrenage. Le taillage est lié à deux constructeurs principaux : Gleason et Klingelnberg. De nombreux paramètres de réglage des machines influencent directement les surfaces de denture, leur optimisation n’est donc pas intuitive. Avec les progrès réalisés cette dernière décennie par les machines d’usinage à commande numérique et la FAO (Fabrication Assistée par Ordinateur), il devient possible de fabriquer des engrenages spiro-coniques de bonne qualité sur une machine 5 axes. Un modèle numérique a été développé pour générer une géométrie simplifiée de type Gleason, usinée par la suite avec une machine 5 axes. Une étude de métrologie, permettant de comparer les dents usinées avec les modèles CAO, a ensuite été réalisée pour prouver que l’usinage par une machine 5 axes peut être une alternative aux méthodes de taillage classiques. De nouveaux types de géométrie peuvent donc être proposés, qui ne pouvaient pas être envisagés par les moyens de fabrication classiques. Une géométrie basée sur la théorie des développantes sphériques, combinée à une spirale logarithmique a été développée, puis usinée. De plus, des corrections de bombé ou de profil peuvent être définies afin d’éviter les contacts en bords de denture. Ce type de géométrie analytique offre des possibilités plus simples d’optimisation de l’engrènement. L'optimisation des surfaces peut être réalisée à l’aide du modèle d’engrènement quasi-statique sous charge développé dans le cadre de cette thèse. L’environnement de l’engrenage est pris en compte dans la simulation : déformation des arbres, des dentures et de leurs supports (jantes et voiles) ainsi que les déformations locales de contact. La méthode des coefficients d’influence est utilisée pour résoudre le partage des charges entre toutes les dents instantanément en contact. Une méthode originale, utilisant sur un seul calcul élément finis et la définition de bases de fonctions, permet de calculer rapidement les flexions de denture dans leur environnement. Les déformations de contacts sont, quant à elles, obtenues par une méthode analytique, basée sur les théories de Boussinesq. De plus, des défauts d’assemblage peuvent être intégrés entre le pignon et la roue spiro-conique. Afin de valider les modèles numériques développés, un banc d’essai a été mis en place, permettant la mesure de l'erreur de transmission et la visualisation des portées. Le banc d’essai est intégré dans une fraiseuse numérique 3 axes : le pignon est monté dans la broche de la fraiseuse, le reste du banc étant bridé sur son plateau. Ainsi, des défauts de montage peuvent être appliqués facilement et précisément. / The design of spiral bevel gears is still very complex nowadays because the tooth geometry, and thus the kinematic performance, come from the manufacturing process of this type of gear. The cutting is related to two major manufacturers: Gleason and Klingelnberg. Many machine settings drive directly the shape of teeth surfaces, their optimization is therefore not intuitive. Due to the progress made during the last decade by the CNC machines and the CAM (Computer Aided Manufacturing) softwares, it becomes possible to manufacture spiral bevel gears of quite correct quality on a 5-axis milling machine. A numerical model was developed in order to generate a simplified type Gleason geometry. This last was then manufactured with a 5-axis milling machine. A metrological study, comparing the teeth obtained with the CAD models, was then carried out to prove that the manufacturing by 5-axis milling machine can be an alternative to conventional cutting methods. New types of geometry can be then proposed, which could not be considered by the conventional methods of manufacturing. Geometry based on the theory of spherical involutes, combined with a logarithmic spiral was developed and then manufatured. In addition, profile and crowning modifications can be defined to avoid the tooth edge contacts. This type of analytical geometry offers simpler possibilities for optimizing the meshing. The surface optimization can be achieved using the quasi-static meshing model under load developed in the context of this thesis. The surroundings of the gear are taken into account in the simulation: deformation of the shafts, of the gears and their supports (rims for example) as well as the local contact deformations. The influence coefficient method is used to solve the load sharing between all the teeth instantaneously in contact. An original method, using only one finite element computation and the definition of a set of functions, can quickly calculate the teeth bending, taking into account their surroundings. The contact deformations are obtained with an analytical method, based on Boussinesq theories. In addition, meshing defects can be integrated between the spiral beval pinion and gear. To validate the numerical model, a test bench was achieved, allowing the measurement of the loaded transmission error and the visualization of the contact patterns. The test bench is integrated inside a numerical 3-axis milling machine: the pinion is mounted in the spindle of the milling machine, when the base of the bench is clamped on its plate. Thus, assembly errors can be imposed easily and accurately.