This is a phd thesis

The internal combustion engine is still at the heart of the vast majority of vehicles manufactured worldwide today. For these applications reciprocating pistons are typically employed to convert the pressures generated by internal combustion into mechanical work required by the vehicle. Of the energy supplied to the engine as a whole approximately 17% is lost by means of mechanical friction. The piston ring - liner and piston skirt - liner conjunctions contribute approximately 30% of the overall friction losses in almost equal proportions. It is, therefore, important to note that reduction in piston assembly friction would have a significant effect on the fuel consumption and, therefore, performance of engines manufactured today. In order to reduce the effect of friction it is of critical importance that the model and predictions made alongside the design of engine components accurately represent the real incycle conditions encountered in practice. Much of the published research to date has excluded the effects of global thermo-elastic distortions on the lubrication of the piston skirt. In cases where this effect has been studied, it has been for relatively low engine speeds or loads on relatively stiff conjunctions. In motorsport applications the expected component lifespans are much shorter than in the usual OEM production vehicles. Reduction in component mass, particularly in reciprocating components has been at the centre of these recent gains. The effect of mass reduction coupled with the increased BMEP observed in high performance engines emphasises the importance of underlying mechanisms of lubrication. This thesis develops the modelling methodology for piston skirt-cylinder liner conjunction for the motorsport and high performance engine applications. It presents a multi-body, multiscale approach to the prediction of the lubrication conditions of the skirt-liner conjunction, incorporating realistic measured boundary conditions. It highlights the effect of inertial loading observed at high speeds in such applications. Using the methodology developed in this work, future improvements in friction may be accurately predicted though the use of the modular boundary and component contributions used throughout. Crucially though, the models created have been scrutinised and verified using instantaneous ultrasonic film thickness measurements non-invasively from the conjunction. One of the key findings of the thesis is that the component stiffness profiles have a significant effect on the dynamics of the piston assembly. The shape of the conjunction at a given instant, and thus the contact condition, is largely governed by the interaction between the themo-mechanical distortion of the contiguous solids, as well as changes in lubricant characteristic responses. The iso-viscous elastic mechanism of lubrication has been identified as being the dominant mechanism of lubrication.

This master’s thesis describes the influence of conformity on friction in rolling bearings. The coefficient of friction is measured on an experimental machine - Mini Traction Machine 2 – using ball-on-disc method. The results are plotted in graphs which showing the dependence of the coefficient of friction at spin-to-roll ratio for specific conformity, normal load and speed in the contact area. The influence of load, speed or different lubricant viscosity is verified for a given value of conformity. Experimentally obtained data are compared with the mathematical model developed in MatLab, within this thesis.

Le développement de lubrifiants haute performance pour réduire le frottement dans les moteurs et limiter la consommation de carburant, demeure un défi majeur pour les fabricants d’huiles. Les améliorants d'indice de viscosité (VII) sont des polymères couramment utilisés pour réduire la dépendance en température de la viscosité du lubrifiant, afin de maintenir une lubrification hydrodynamique acceptable à haute température. Ce travail se concentre sur la compréhension du rôle des VII dans les lubrifiants moteur afin de relier leur réponse tribologique et leur comportement rhéologique. Des lubrifiants simplifiés sont étudiés, composés de divers polymères de différents poids moléculaires et conformations, ajoutés à une huile de base minérale. Premièrement, la dépendance de la viscosité à la température et la pression de ces lubrifiants est étudiée. Il est montré que leur comportement rhéologique résulte de mécanismes se produisant à l'échelle moléculaire, en considérant les notions de solubilité, rayon hydrodynamique et d’effets de conformation. Ensuite, la dépendance viscosité-cisaillement est discutée en fonction de la structure des polymères et prédite sur une large gamme de températures et de pressions à travers un modèle conventionnel. Cependant, les hypothèses qui sous-tendent ce modèle nous amènent à proposer une relation plus appropriée prenant en compte la viscoélasticité des lubrifiants. Enfin, des mesures d'épaisseur de film sont effectuées pour explorer comment l'addition de polymère affecte la réponse du lubrifiant dans les régimes élastohydrodynamique et thin film. Elles sont comparées aux prévisions analytiques basées sur les modèles rhéologiques établis précédemment. Il est montré i) une bonne adéquation entre les prévisions et les données expérimentales dans le régime EHD et ii) la présence d’une épaisseur critique pour certains polymères à partir de laquelle les résultats s’écartent significativement des prévisions. Ce régime thin film, aux faibles épaisseurs, est expliqué par le comportement non newtonien des lubrifiants et l'adsorption des polymères aux surfaces. / The development of high-performance lubricants to reduce engine friction and consequently fuel consumption remains a major challenge for oil manufacturers. Viscosity Index Improvers (VII) are polymer additives used for decades to limit the dependency of the lubricant’s viscosity on temperature, to maintain an acceptable hydrodynamic lubrication at high temperature, without experiencing excessive frictional and thermal losses at low temperature. This work focuses on understanding the role of VII in engine lubricants with the aim to bridge their tribological response with their rheological behavior. Simplified lubricants are studied, composed of various polymers of different molecular weights and conformations added to a mineral base oil. In a first part, the viscosity-temperature-pressure dependence of these lubricants is investigated. Their rheological behavior is shown to result from mechanisms occurring at molecular scale, by considering the notions of solubility, hydrodynamic radii and conformation effects. In a second part, the viscosity-shear stress dependence is discussed according to the polymers structure and predicted on a large range of temperatures and pressures through a conventional model. However, the strong assumptions behind this model lead us to propose a more appropriate relationship which takes into account the viscoelastic properties of the lubricants. Finally, film thickness measurements are conducted to explore how the polymer addition affects the lubricant’s response in the Elastohydrodynamic and Thin Film regimes. They are compared with analytical predictions based on the rheological models established previously. It is shown that i) there is a good agreement between predictions and measured film thicknesses in the EHD regime and ii) at lower thickness, i.e. in the Thin Film regime, some polymers show a critical thickness from which the film thickness significantly departs from the predictions. Several explanations are considered, among them the non-Newtonian behavior of the lubricants and the adsorption of polymers on the solid bodies.

Les principaux mécanismes d'amortissement présents dans les transmissions par engrenages sont étudiés, en se basant sur une analyse transitoire du problème de lubrification élasto-hydrodynamique dans les contacts linéiques. Plusieurs modèles linéaires sont proposés suite à de nombreuses simulations numériques, permettant de prédire l’amortissement du lubrifiant dans les différentes conditions de contact, y compris les situations des pertes de contact momentanées suivies d’impact. Un modèle dynamique d’engrenage à un seul degré de liberté est présenté qui combine les contributions diverses du lubrifiant à l'amortissement structurel représentatif de la dissipation interne des engrenages. Un certain nombre de comparaisons avec des résultats expérimentaux est présenté pour une gamme de conditions de fonctionnement et de géométries d'engrenages, qui prouve la capacité du modèle à reproduire proprement le comportement dynamique des engrenages droits. On montre que l'amortissement associé au lubrifiant contribue essentiellement lors des pertes de contact et des chocs entre dentures se produisant au voisinage des vitesses critiques. Le cas des engrenages hélicoïdaux est analysé différemment du fait de l’absence de perte de contact pour ce type d’engrenage. Un modèle tridimensionnel simple est ainsi développé qui prend en compte la dissipation des différents éléments de la transmission. Un nombre de résultats est présenté qui, d'abord, confirme la contribution majeure de l'engrènement à l'amortissement global des engrenages droits, et, dans un second lieu, montre que les paliers constituent la principale source d'amortissement dans les transmissions par engrenages hélicoïdaux. / The primary damping mechanisms present in geared systems are investigated based on a transient analysis of the elasto-hydrodynamic lubrication problem for line contacts. Several linear models are derived from extensive numerical simulations, which make it possible to simulate the damping caused by the lubricant squeezing by the teeth with and without momentary contact losses and impacts. A one-degree-of-freedom gear dynamic model is set up which combines these lubricant damping sources along with structural damping that reproduces the internal dissipation in gear elements. A number of comparisons with benchmark experimental evidence are presented for a range of operating conditions and gear geometries, which prove that the proposed approach is sound in the case of spur gears. It is shown that the damping associated with lubricant squeezing contributes for the most part when contact losses and shocks between the teeth occur at critical speeds. The case of helical gears is analyzed differently since no contact loss occurs for such gears. A simple three-dimensional model is thus developed which accounts for the dissipation in the mechanical parts surrounding the gears. A number of results are presented which, first, confirm the primary contribution of the gear mesh to the overall damping in spur gears, and second, show that bearings constitute the main source of damping in helical gears transmissions.

Conselho Nacional de Desenvolvimento Científico e Tecnológico / The subject of elastohydrodynamic lubrication is identified with situations in which elastic deformation plays a significant role in the hydrodynamic lubrication process. To analyze the elastohydrodynamic lubrication (LEH) of elliptical contacts it is necessary to solve simultaneously the Reynolds equation for pressure and the elasticity equation. The greatest shortcoming of this approach is the dependence exponential between the viscosity and the pressure which is, so that the coupled equations system becomes highly nonlinear. The objective of this work is to analyze LEH in elliptical contacts by means of multi grid algorithms (used for modeling and simulating complex dynamic systems) to solve them. / O estudo da Lubrificação Elasto Hidro Dinâmica (LEH) está relacionado às situações onde a deformação elástica dos corpos em contato hidrodinâmico não pode ser desprezada. Para analisar a LEH em contatos elípticos é necessária a solução simultânea da equação de Reynolds para a pressão e da equação da elasticidade. Para a deformação complementa-se esta formulação com a adoção de uma relação exponencial da viscosidade com a pressão, o que torna o sistema de equações acopladas altamente não-linear. O objetivo deste trabalho é o de analisar a LEH em contatos elípticos, resolvendo-a com o auxilio da técnica de Multi Grelha, que é um acelerador de convergência dos sistemas lineares gerados na discretizacão das equações que regem o fenômeno. / Mestre em Engenharia Mecânica

Des simulations numériques rapides et précises du contact élastohydrodynamique (EHD) sont recherchées pour aider au développement de produits. L'objectif de cette thèse est de proposer un modèle compact pour le problème du contact EHD en appliquant des méthodes de réduction de modèle. Dans ce but l'équation de Reynolds (non-linéaire), l'équation d'élasticité (linéaire) et l'équilibre de la charge, sont résolus dans un système d'équations unique par la méthode de Newton. La réduction s'effectue par projection sur un sous espace de faible dimension, qui repose sur des solutions du système complet. De plus, une approximation du système est effectuée, dans laquelle les matrices du système réduit sont approximées. Pour le problème du contact EHD stationnaire, un algorithme de génération automatique des modèles compacts est présenté. L'algorithme fournit des modèles réduits stables et rapides sur une région de paramètres définies. La méthode de Newton réduite est également étendue aux fluides non-newtoniens. Les résultats du modèle réduit sont en très bon accord avec ceux du système complet, malgré un temps de calcul clairement plus petit. Par ailleurs, une nouvelle formulation pour le problème de contact EHD transitoire est introduite, dans laquelle la région de calcul est adaptée à la taille du contact. Ceci permet d'obtenir des modèles réduits efficaces, en particulier pour des excitations à grandes amplitudes. Alternativement, la méthode "Trajectory-Piecewise-Linear" (TPWL) est appliquée au problème du contact EHD transitoire. Cette méthode permet une accélération du calcul conséquente. / In today's product development process, fast and exact simulational models of complex physical problems gain in significance. The same holds for the elastohydrodynamic (EHD) contact problem. Thus, the objective of this work is to generate a compact model for the EHD contact problem by the application of model order reduction. Thereto, the EHD contact problem, consisting of the nonlinear Reynolds equation, the linear elasticity equation and the load balance, is solved as a monolithic system of equations using Newton's method. The reduction takes place by projection onto a low-dimensional subspace, which is based on solutions of the full system. Moreover, a so-called system approximation is executed at which the reduced system matrices are substituted by less complex surrogates. For the stationary EHD contact problem, an algorithm for the automated generation of the compact model is presented. This algorithm provides fast and numerically stable reduced systems on a given parameter range. Additionally, the reduced Newton method is extended to the consideration of Non-Newtonian fluids whereat highly accurate results are obtained requiring a very low computational time. Furthermore, a new formulation for the transient EHD contact problem is introduced, at which the computational area is adapted to the current contact size. This kind of morphing enables efficient reduced models in particular for excitations of large amplitude. Beside of the reduced Newton-method with system approximation, the method Trajectory Piecewise Linear (TPWL) is applied to the transient EHD contact problem. Here, further speed-up potential arises. Despite a distinctly lower computational time, the reduced model is in very good accordance with the full system.

La température et la pression sont deux paramètres particulièrement importants pour l’optimisation des performances du régime de lubrification élastohydrodynamique (EHL). A ce jour, différentes méthodes expérimentales ont été développées, avec plus ou moins du succès, pour la mesure de ces deux paramètres. Ce travail présente, en continuité de ces approches, des investigations visant à développer une nouvelle technique in situ permettant de mesurer localement ces deux grandeurs dans les contacts élastohydrodynamiques (EHD). Cette technique exploite la sensibilité en photoluminescence (PL) des boîtes quantiques (ou en anglais « quantum dots (QDs)) de CdSe/CdS/ZnS aux variations de température et de pression. A cet égard, des calibrations ont été réalisées afin d’évaluer la sensibilité de ces QDs aux deux paramètres. De plus, la versatilité de ces QDs comme nanosondes a été examinée en testant deux lubrifiants différents : le squalane et un mélange de squalane et de cyclopentane. Des mesures ont été également effectuées sous conditions dynamiques afin d’étudier (i) l’influence de la présence des QDs sur la rhéologie du lubrifiant et (ii) l’influence du taux de cisaillement sur la PL des QDs. Bien que ces différents tests aient prouvé le potentiel des QDs de CdSe/CdS/ZnS, ils ont révélé l’existence d’autres paramètres qui peuvent, tout comme la température et la pression, en modifier la réponse. L’étude a été menée afin d’approfondir la compréhension des mécanismes responsables de tels effets. Plus important encore, une méthodologie a été définie pour minimiser ces effets indésirables, et pour in fine, permettre l’usage de ces QDs en tant que nanosondes fiables. / Temperature and pressure are two relevant parameters for the optimization of lubrication performance in the elastohydrodynamic lubrication (EHL) regime. To date, various experimental methods have been developed to measure these two parameters with more or less success. In a continuation of these efforts, some investigations are presented in the current work in view of developing a new in situ technique allowing for local measurements of these two parameters throughout elastohydrodynamic (EHD) contacts. This technique exploits the photoluminescence (PL) sensitivity of CdSe/CdS/ZnS quantum dots (QDs) to changes in temperature and pressure. In this respect, calibrations have been carried out in order to establish the sensitivity of these QDs to the two parameters. Moreover, the versatility of these QDs for sensing applications have been examined by testing two different lubricants, namely squalane and a mixture of squalane and cyclopentane. Some measurements were also conducted under dynamic conditions, in order to study (i) the influence of the QDs presence on the lubricant rheology and (ii) the influence of shear rate on the PL of QDs. Although these different tests demonstrated the potential of CdSe/CdS/ZnS QDs, they revealed the existence of other parameters that affect, in addition to temperature and pressure, their response. A comprehensive study was thus conducted in order to elucidate the mechanisms behind these findings. More importantly, a methodology was defined in order to minimize these undesired influences and, in fine, enable these QDs to be used as reliable nanosensors.