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Wu, Xionghua. "Vibration of Planetary Gears Having an Elastic Continuum Ring Gear." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1276524893.
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Eritenel, Tugan. "Three-Dimensional Nonlinear Dynamics and Vibration Reduction of Gear Pairs and Planetary Gears." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1298651902.
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Bahk, Cheon-Jae. "Analytical Study on Nonlinear Dynamics of Planetary Gears." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1332371195.
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Hilty, Devin R. "An Experimental Investigation of Spin Power Losses of Planetary Gear Sets." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1276270638.
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Jonsson, Martin. "Planetary Gear Analysis : deformation induced misalignment and optimization." Thesis, KTH, Maskinkonstruktion (Inst.), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-276682.
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A handheld heavy-duty nut runner, commonly used to assemble windmills and oil pipe lines, and capable of producing 4100 Nm of torque, experiences low cycle fatigue and usually fails after 20 000 cycles at the specified torque. A full assembly Finite element model of the last stage of the four-stage planetary gearbox is constructed and simulated over one complete load cycle. The results from the simulation is compared with, and used to verify a KISSsoft simulation of the same model. Using the Finite Element model, a parametric optimization is performed using a full factorial design. The results show that misalignment issues are difficult to prevent due to the planetary gearbox design. Comparing the two models shows similar characteristics and stress levels but that local differences are common. A proposed design improvement results in better load distribution in the planet – ring interaction, which was previously impaired compared to the planet – sun interaction due to deformation induced misalignment. The result shows that by balancing the rotational stiffness of the side 1 and side 2 carrier pin mountings, it is possible to reduce the contact misalignment and improve the load distribution in the gearbox.En handhållen mutterdragare vars användningsområde innefattar bland annat montering av vindkraftverk och oljeledningar, producerar ett vridmoment om 4100 Nm. På grund av det här havererar vanligtvis verktyget av utmattning vid ca 20 000 cykler, något som tros vara kopplat till vinkelfel som uppkommer vid deformation av verktygets växellåda. Vinkelfelen resulterar i att lastfördelningen mellan kugghjulen blir skev och spänningskoncentrationer uppstår. Finita elementmetoden används för att undersöka uppkomsten av vinkelfelen och en komplett modell av hela det sista steget i den fyrstegade planetväxellådan undersöks. Simuleringen jämförs med en liknande modell i KISSsoft, dels för att bekräfta resultatet från simuleringen, dels för att undersöka skillnader och svagheter i de båda modellerna. FE-modellen används även för att bygga upp en parametrisk optimering baserat på faktoriell design. Resultatet visar att vinkelfel är svårt att motverka på grund av växellådans design och konfiguration. Jämförelsen av de två simuleringsmodellerna uppvisar liknande karaktärsdrag och spänningsnivåer men att lokala skillnader finns mellan de båda modellerna. Optimeringen resulterar i en föreslagen designförändring som visar sig förbättra lastfördelningen i planet – ring – interaktionen utan att påverka lastfördelningen i planet – sol – interaktionen. Det här är att föredra eftersom lastfördelningen mellan planet och sol är bättre än lastfördelningen mellan planet och ring. Resultatet visar också att det är möjligt att minimera vinkelfelet mellan kontaktytorna, och förbättra lastfördelningen i växellådan genom att balansera rotationsstyvheten på var sida om planeten i planetbäraren.
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Sondkar, Prashant B. "Dynamic Modeling of Double-Helical Planetary Gear Sets." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1338481548.
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Wang, Chenxin. "Dynamics of High-Speed Planetary Gears with a Deformable Ring." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/103008.
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This work investigates steady deformations, measured spectra of quasi-static ring deformations, natural frequencies, vibration modes, parametric instabilities, and nonlinear dynamics of high-speed planetary gears with an elastically deformable ring gear and equally-spaced planets.
An analytical dynamic model is developed with rigid sun, carrier, and planets coupled to an elastic continuum ring. Coriolis and centripetal acceleration effects resulting from carrier and ring gear rotation are included. Steady deformations and measured spectra of the ring deflections are examined with a quasi-static model reduced from the dynamic one. The steady deformations calculated from the analytical model agree well with those from a finite element/contact mechanics (FE/CM) model. The spectra of ring deflections measured by sensors fixed to the rotating ring, space-fixed ground, and the rotating carrier are much different. Planet mesh phasing significantly affects the measured spectra. Simple rules are derived to explain the spectra for all three sensor locations for in-phase and out-of-phase systems. A floating central member eliminates spectral content near certain mesh frequency harmonics for out-of-phase systems.
Natural frequencies and vibration modes are calculated from the analytical dynamic model, and they compare well with those from a FE/CM model. Planetary gears have structured modal properties due to cyclic symmetry, but these modal properties are different for spinning systems with gyroscopic effects and stationary systems without gyroscopic effects. Vibration modes for stationary systems are real-valued standing wave modes, while those for spinning systems are complex-valued traveling wave modes. Stationary planetary gears have exactly four types of modes: rotational, translational, planet, and purely ring modes. Each type has distinctive modal properties. Planet modes may not exist or have one or more subtypes depending on the number of planets. Rotational, translational, and planet modes persist with gyroscopic effects included, but purely ring modes evolve into rotational or one subtype of planet modes. Translational and certain subtypes of planet modes are degenerate with multiplicity two for stationary systems. These modes split into two different subtypes of translational or planet modes when gyroscopic effects are included.
Parametric instabilities of planetary gears are examined with the analytical dynamic model subject to time-varying mesh stiffness excitations. With the method of multiple scales, closed-form expressions for the instability boundaries are derived and verified with numerical results from Floquet theory. An instability suppression rule is identified with the modal structure of spinning planetary gears with gyroscopic effects. Each mode is associated with a phase index such that the gear mesh deflections between different planets have unique phase relations. The suppression rule depends on only the modal phase index and planet mesh phasing parameters (gear tooth numbers and the number of planets).
Numerical integration of the analytical model with time-varying mesh stiffnesses and tooth separation nonlinearity gives dynamic responses, and they compare well with those from a FE/CM model. Closed-form solutions for primary, subharmonic, superharmonic, and second harmonic resonances are derived with a perturbation analysis. These analytical results agree well with the results from numerical integration. The analytical solutions show suppression of certain resonances as a result of planet mesh phasing. The tooth separation conditions are analytically determined. The influence of the gyroscopic effects on dynamic response is examined numerically and analytically.Doctor of Philosophy
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Janakiraman, Venkatakrishna. "Modelling of Steady-State and Transient Power Losses in Planetary Gear Trains." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492510708602145.
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Guo, Yichao. "Analytical Study On Compound Planetary Gear Dynamics." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1312289370.
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Boguski, Brian C. "An Experimental Investigation of the System-Level Behavior of Planetary Gear Sets." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1291009879.
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Inalpolat, Murat. "A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF MODULATION SIDEBANDS OF PLANETARY GEAR SETS." The Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1243447380.
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Oudich, Hamza. "Analytical Investigation of Planetary Gears Instabilities and the Impact of Micro-Macro Geometry Modifications." Thesis, KTH, Farkostteknik och Solidmekanik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-276775.
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Due to their large torque-speed ratio and transmission efficiency, planetary gears are widely used in the automotive industry. However, high amplitude vibrations remain their critical weakness, which limits their usage especially when new strict noise legislations come into action. A new approach to handle the instability problems of planetary gears encountered in real industrial context is presented in this work. First, the dynamic response of a planetary gear failing to pass the noise regulations is theoretically investigated through an analytical model. The equations of motion were solved using the Spectral Iterative Method. The observed experimental results correlated well with those from the developed model. In order to limit the resonance phenomena, impacts of different macro and micro-geometry modifications were analytically investigated: quadratic teeth profile, different planets positioning, different number of teeth and number of planets. Optimum modifications were retrieved and are expected to be tested experimentally on a test bench and on the truck. Finally, the analytical model’s limits and sensitivity to different parameters were investigated in order to certify its reliability, and suggestions for improvements were presented.
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Cooley, Christopher Gary. "High-Speed Dynamics and Vibration of Planetary Gears, Vibration of Spinning Cantilevered Beams, and An Efficient Computational Method for Gear Dynamics." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1354558979.
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McDonald, Kyler. "An Experimental Study of Spin Power Losses of a High-Speed Gearbox." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1523371969014841.
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Leque, Nicholas. "Development of Load Sharing Models for Double-Helical Epicyclic Gear Sets." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1422570590.
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Camargo, Ítalo Leite de. "Projeto de moinho e misturador planetário: limites, transmissão, dimensionamento, protótipo e validação." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/18/18146/tde-12092018-145617/.
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A moagem e mistura rápidas e efetivas de materiais em pequenos volumes é uma necessidade nos laboratórios e na indústria moderna. Diversos tipos de métodos e equipamentos prestam este serviço, dentre eles o moinho e misturador planetário. Estes equipamentos são máquinas centrífugas que combinam movimentos rotacionais com translacionais e que utilizam os efeitos otimizados das forças, direções e movimentos dos materiais em processo. Para o moinho é otimizado e ampliado o poder dos mecanismos de moagem, sendo então considerado um processo de alta energia. No caso dos misturadores há a combinação do movimento planetário com um ângulo de inclinação entre o eixo de rotação do jarro com o eixo de translação que promovem vórtices helicoidais efetivos para promover a mistura. O presente trabalho objetiva o desenvolvimento de moinho e misturador planetário visando determinar condições otimizadas de moagem e mistura, o estabelecimento de limites de operação para ambas aplicações e a seleção de um sistema de transmissão simplificada. Inicialmente foram fabricados bancos híbridos de moagem e mistura para pequenas amostras (25 g para moagem e 100 g para mistura). O desempenho de moagem foi analisado pela determinação do tamanho de partículas antes e após o processo de moagem em pós de alumina de granulação grosseira com diâmetro médio de partícula em torno de 4,2 μm, variando-se as combinações de relação de transmissão, velocidade de translação e tamanho do meio de moagem. Para o misturador foi aplicado ângulo de inclinação de 30º e realizado ensaios nas misturas de massa plástica em diferentes rotações. Na configuração moinho, o melhor desempenho experimental resultou em pó de alumina submicrométrico de Øee ~ 0,9 mm em uma hora de moagem na rotação de translação de 450 rpm e relação de transmissão eixo principal/jarro de 1:-2. Na configuração misturador a condição otimizada foi com rotação de 2000 rpm e relação transmissão eixo principal/jarro de -2:1 que proporcionou mistura relativamente homogênea em 30 s. Para carregamentos de até 25 g de pós cerâmicos, em que o conjunto excêntrico (jarro, fixação, matéria prima e meios de moagem) são inferiores à 1 kg, utilizou-se a transmissão baseada em rodas de atrito que permitiu um projeto econômico e compacto, sendo o aço (AISI 4340 temperado e revenido) o material da roda de atrito que apresentou a melhor durabilidade e confiabilidade. Entretanto, apresentou limitação na moagem de amostras maiores (jarro acima de 1 kg) e nas misturas com rotações acima de 2000 rpm. A maior potência de transmissão exigida causou aquecimento excessivo na transmissão, ocasionando dilatação das rodas de atrito e consequentemente travamento do sistema. Para aumentar a capacidade de moagem para até 100 g de matéria prima, que reflete a conjuntos com massas superiores a 2 kg, um protótipo utilizando engrenagens foi projetado, construído e testado. Neste trabalho concluiu-se que, através de uma rápida reconfiguração, um único equipamento híbrido atende às ambas demandas. Entretanto observou-se que como as condições otimizadas de moagem e mistura ocorreram em condições opostas, ficou evidenciado que a condição ótima para um sistema, quando aplicado no outro sistema, oferece alto risco de acidentes, o que exige o desenvolvimento de um sistema de segurança inteligente sofisticado e oneroso que, em virtude do agregado financeiro dos componentes permanentes, para aplicações nos processos industriais, aconselha-se equipamentos individuais.Fast and effective milling and mixing of materials in small volumes is a need for laboratories and modern industry. Several methods and equipment provide these services such as planetary mill and Dual Asymmetric Centrifuge (DAC). These pieces of equipment are centrifuge machines that combine rotation and revolution and use the optimized effects of forces, directions and movements of materials in process. In the mill, the power of the milling mechanisms is optimized, being considered a high-energy process. For the mixers there is a combination of planetary motion and a tilt angle between the axis of rotation of the jar and the revolution axis, which promote effective helical vortices for mixing. The present work aims at the development of planetary mill and mixer aiming to determine optimum grinding and mixing conditions, establishment of operating limits for both applications and transmission selection. Initially hybrid grinding and mixing benches for small samples (25 g for milling and 100 g for mixing) were manufactured. The planetary mill performance was analyzed by determining particle size before and after milling of coarse calcined alumina (initial median particle size of 4.2 mm) by varying combinations of transmission ratio, translation speed and media size. For the mixer, a tilting angle of 30º was applied and tests were performed on the modeling clay mixtures applied at different rotations. For the mill configuration, the optimized design with the best experimental setup resulted in sub micrometric alumina powder (Øee ~ 0.9 mm) in only one hour of milling (revolution of 450 rpm and speed ratio main axis/jar transmission ratio of 1:-2). For the mixer configuration, the optimized condition (revolution of 2000 rpm and speed ratio of -2:1) provided relatively homogeneous mixing in 30 s. For loadings up to 25 g of ceramic powders, where the eccentric assembly (jar, fixing, raw material and grinding media) is lighter than 1kg, the transmission based on friction wheels was used, which allowed an economical and compact design, being the steel (tempered AISI 4340) the material of the friction wheel that presented the best durability and reliability. However, there was a limitation in the grinding of larger samples (jar over 1 kg) and mixtures with rotations above 2000 rpm. The higher transmission power required caused excessive heat in the transmission, causing the friction wheels to dilate and consequently system malfunction. To perform loads greater than 100g of raw material, which reflects sets with masses over 2 kg, a prototype using gears was designed, built and tested. This work concluded that a quick reconfiguration allows a single device meets both demands. However, considering that optimized parameters of grinding and mixing occur at very different conditions, it is emphasizedthat the optimal operation for a system if applied in the optimal conditions of the other system offers high risk of accidents, which requires the development of a costly security system. Therefore, individual pieces of equipment for grinding and mixing are advised for industry application due to the financial aggregate of the permanent components.
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Boni, Jean-Baptiste. "Modélisation thermique d'un train épicycloïdal lubrifié par barbotage." Thesis, Lyon, 2020. http://www.theses.fr/2020LYSEI001.
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Les transmissions de puissance par trains épicycloïdaux sont courantes dans l'industrie du transport et de la manutention : elles procurent un fort rapport de réduction dans un volume toujours plus réduit, ce qui est un atout pour les industriels toujours plus attentifs à leur impact écologique. Cependant cette diminution de volume implique une augmentation de la puissance massique au sein de ces transmissions. Dans la cas où cette transmission est lubrifiée par bain d’huile ou barbotage, la problématique de la thermique devient alors un enjeu majeur car elle ne permet plus un refroidissement de la transmission, contrairement à la lubrification par injection. Elle apporte aussi une nouvelle source de perte par traînée, appelée perte par barbotage, qui ajoute à la production de chaleur produite par le frottement aux dentures et les roulements. Cette lubrification apporte cependant une facilité de maintenance utile pour des applications comme le transport. Ainsi, la modélisation thermique d'un tel train lubrifié par barbotage semble une nécessité pour estimer jusqu'à quel point ce type de lubrification est viable pour des transmissions par train épicycloïdal fortement chargé. Aucun modèle de prédiction des pertes de puissances, spécifiques à un train épicycloïdal en barbotage, n’est donné dans la littérature et la modélisation thermique a toujours porté sur de la lubrification par injection. Dans un premier temps, un modèle de prédiction des pertes par barbotage a été développé sur un banc d’essais en laboratoire pour, dans un second temps, modéliser thermiquement un réducteur de vitesse industriel en vue de l’optimiser sur plusieurs aspects : impact de la tribologie sur la thermique et optimisation du volume d’huile. Au regard des résultats présentés dans ce manuscrit, le modèle de pertes par barbotage prédit convenablement la perte pour plusieurs huiles testées ; le modèle thermique simule alors bien la thermique du réducteur et semble être un bon outil pour optimiser le réducteur industrielPlanetary gears are widely used inside power transmissions, especially in the transport or heavy industry: they provide a substantial reduction ratio while keeping a minimal volume, which is a benefit for the industry in a ecological point of view. Yet, this diminution in volume comes with an augmentation of the thermal mass power inside the tranmission. When this transmission is splash lubricated, the thermal response of the system becomes a crucial problem because it cannot provide the sufficient cooling that the injection lubrication does. Moreover it adds up another source of power loss with the drag loss of the rotating parts, that heats the transmission as well. That type of lubrication is nonetheless easy to maintain unlike the injection. Thus, the thermal modeling of such transmission seems a necessity in order to estimate the conditions until this type of lubrication is viable, especially when heavily loaded. The litterature provides little to no model to predict to drag power losses in a planetary gear set, especially since it mainly dealt with oil injected ones. So, the first step is to developp a dedicated power loss prediction model for drag losses occuring in a planetary gear set. This has been done using a dedicated test rig. The second step uses this prediction model to developp a thermal model of an industrial reducer, using the thermal network method. This has been donc in order to optimize multiple aspects: the impact of the tribology on the thermal response of the reducer and the optimization of the oil volume inside the splash lubricated reducer. In regards to these results, the power loss prediction model for drag loss seems to be robust ; the thermal model simulates correctly the thermal response of the reducer and is a powerful tool to optimize the industrial reducer
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Ericson, Tristan Martin. "Experimental Study of Planetary Gear Dynamics." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1354212365.
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Chapron, Matthieu. "Comportement dynamique de train planétaire / épicycloïdal avec erreurs d’assemblage, écarts de forme et structures déformables : Optimisation des corrections de dentures." Thesis, Lyon, 2016. http://www.theses.fr/2016LYSEI040/document.
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Ces travaux de thèse sont le fruit de la collaboration entre la société Hispano-Suiza et le LaMCoS de l’INSA de Lyon. Dans le cadre du développement de nouveaux systèmes de propulsion, l’implantation d’un train planétaire / épicycloïdal entre la turbine et l’hélice semble être une voie intéressante pour atteindre les performances souhaitées en terme de rendement. L’augmentation des puissances transmises et la réduction des masses embarquées dans les applications aéronautiques tendent à rendre les composants de plus en plus déformables. Lors de ces travaux de recherche, un modèle dynamique de trains planétaires a été développé, incorporant les effets des erreurs de montage, des écarts de forme et des sous-ensembles flexibles. Une approche à paramètres concentrés est utilisée, intégrant notamment des éléments spécifiques d’engrenage et des éléments d’arbre. Pour les éléments d’engrenage, le formalisme des fines tranches juxtaposées est employé pour représenter les dentures. Une raideur élémentaire et un écart normal sont attribués à chacune des tranches et sont réactualisés à chaque pas de temps en fonction de la cinématique des composants et des déviations du profil des dentures. Les déformations de la couronne sont introduites à l’aide d’un anneau discret composé de poutres droites couplé aux éléments d’engrenage. Les dentures double-hélice sont modélisées par deux éléments d’engrenage d’angles d’hélice opposés liés par une poutre de Timoshenko. Finalement, les équations du mouvement sont résolues pas à pas dans le temps par un schéma de Newmark combiné à un algorithme de contact normal, permettant de prendre en compte les pertes de contact partielles ou complètes. Dans un premier temps, un certain nombre d’éléments de validation est présenté et comparé à des résultats tirés de la littérature. Afin d’asseoir notre modélisation, l’influence des erreurs de positionnement des satellites, du décalage des hélices, des erreurs de pas et des déformations de la couronne sur les distributions de charge est abordée pour différentes configurations de train planétaire. Dans un deuxième temps, l’optimisation des corrections de denture dans le but de réduire les vibrations est investiguée. Les corrections de profil sont introduites sur les engrènements de façon (i) linéaire et symétrique en tête de dents et (ii) identique pour tous les satellites mais (iii) différente selon le flanc actif. Dans ce contexte, les corrections sont tout d’abord optimisées vis-à-vis des efforts dynamiques d’engrènement à l’aide d’un algorithme génétique. Puis, leurs performances sont analysées en fonction du couple transmis et de la vitesse de rotation. Par la suite, un critère « équivalent » est dérivé, vérifié et utilisé pour étudier l’influence du décalage des hélices et d’une correction longitudinale parabolique sur ces corrections de profil optimales. Enfin, une sous-structure du porte-couronne est introduite et son impact sur les distributions de charge est exploréThis research work was conducted at the Contact and Structural Mechanics Laboratory (LaMCoS) of LaMCoS - INSA Lyon (UMR CNRS 5259) in partnership with Hispano-Suiza (SAFRAN group). In the context of new turbo jet engine developments, a promising technological solution consists in inserting a planetary / epicyclic gear train between the turbine and the propeller which, in theory, can improve the system performance, especially in terms of efficiency. Increasing power densities and mass reduction constraints lead to more compliant structures which need to be analyzed from a dynamic viewpoint. The present work deals therefore with the dynamic modelling of planetary / epicyclic gears and the effects of assembly errors, tooth shape deviations and deformable structural components. A lumped parameter approach has been favored which combines rigid-body gear elements, beam and lumped parameters elements. A thin-slice model has been used to simulate the time-varying elastic properties of gear teeth with an elemental stiffness and a normal deviation functions attributed to every discrete cell on the contact lines (thin slice) and updated at each time step with respect to the meshing course and the instant positions of the teeth. Ring-gear deformations are introduced via a model of elastic annulus discretized into straight beam elements and connected to the gear elements. Double-helical gears are simulated by linking two gear elements of opposite hands by Timoshenko beam elements. The possibility of helix stagger is implemented by shifting the helix positions in the base plane. Finally, the equations of motion are solved step by step in time by combining a Newmark scheme and a normal contact algorithm which makes it possible to account for partial and total instant contact losses. A number of comparisons with benchmark results from the literature are presented which prove that the proposed theoretical and numerical developments are sound and can actually be used to simulate the influence of planet position errors, helix stagger, pitch errors and ring-gear deformations. The optimization of tooth shape modifications, i.e. profile and lead modifications, re dynamic mesh forces in planetary gears is tackled. Using a genetic algorithm, optimum profile modifications are derived and compared with some analytical results in the literature. Their performance over a range of loads and speeds is assessed for helical and double helical gears with rigid and flexible ring-gears. A quasi-static “equivalent” criterion based on local transmission errors is presented and commented upon. Having proved its relevance, a number of results are derived concerning the influence of helix stagger and lead crowning superimposed on optimum profile modifications. Finally, a deformable ring-gear support is introduced using a sub-structuring technique and its contribution in terms of tooth load distribution is examined
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Lin, Jian. "Analytical investigation of planetary gear dynamics /." The Ohio State University, 2000. http://rave.ohiolink.edu/etdc/view?acc_num=osu1488203552779634.
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Durand, de Gevigney Jérôme. "Analyse thermomécanique d'un réducteur épicycloïdal : Application aéronautique." Thesis, Lyon, INSA, 2013. http://www.theses.fr/2013ISAL0157/document.
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Dans le contexte environnemental actuel, l’amélioration des performances énergétiques des transmissions mécaniques par engrenage est un réel challenge. De part, leur compacité et leur arrangement axisymétrique, les transmissions mécaniques de type réducteur à trains épicycloïdaux sont de plus en plus répandues dans divers applications (éolien, aéronautique,…). Il est généralement admis que les principales sources de dissipation de puissance dans de telles transmissions sont dues au frottement aux dentures, au mode de lubrification (barbotage ou injection de lubrifiant), au piégeage d’huile entre les dents lors de l’engrènement et à la ventilation des mobiles. Il est également à noter que les pertes de puissance générées par une transmission ne peuvent être découplées de son comportement thermique. En effet, les échauffements locaux dans la transmission ont un impact sur les propriétés du lubrifiant, qui ont elles-mêmes une influence sur les pertes de puissance. A partir de ce postulat, le travail présenté dans ce manuscrit propose un modèle numérique permettant de quantifier les différents postes de pertes de puissance générées dans un réducteur épicycloïdal, lubrifié par injection d’huile, pour une application aéronautiqueIn the current environmental context, gearbox efficiency has become a major issue. Because of their compactness and axi-symmetric arrangement, planetary gearboxes are widely used in several applications (such as wind, aerospace…). It is generally accepted that total power losses in such gear transmissions can be decomposed into the contributions of the friction between teeth, the lubrication process (oil splash or jet), the oil trapping during meshing and tooth windage. It is noticed that power losses produced by a mechanical transmission cannot be dissociated from its thermal behavior. Indeed, the local warmings impact lubricant physical properties and these last have influence on power losses in return. Based on this postulate, the purpose of this work is to develop a numerical model in order to estimate the power losses generated into a jet lubricated planetary gear train, for an aeronautical application
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Ligata, Haris. "Impact of system-level factors on planetary gear set behavior." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1172599656.
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Gu, Xiaoyu. "Influence des erreurs de position et excentricités sur la dynamique d’un train planétaire." Thesis, Lyon, INSA, 2012. http://www.theses.fr/2012ISAL0031/document.
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Un modèle de trains planétaires est proposé afin de tenir compte de l’influence d’erreurs de position et d’excentricités en lien avec d’éventuels montages ‘flottants’ sur le comportement dynamique d’une transmission. La formulation théorique repose sur le formalisme des torseurs de déplacements infinitésimaux pour simuler à la fois les erreurs géométriques et les degrés de liberté du modèle. Une des propriétés principales de cette approche est que la géométrie des engrènements et les excitations correspondantes sont couplées aux degrés de liberté, conduisant ainsi à des excitations complexes présentant des modulations d’amplitude et de phase. Les résultats de simulation sont comparés avec des mesures sur banc d’essai et un très bon accord est obtenu en terme de partage de charge entre les satellites, validant ainsi le modèle de contact développé. Enfin, des résultats d’études paramétriques portant sur le rôle de certaines erreurs ainsi que sur l’apport éventuel de solaire et/ou satellites flottants dans des applications grandes vitesses concluent ce travail de thèseA dynamic model of planetary gears is presented which accounts for planet position errors and eccentricities for either rigid mounts or floating members. The theoretical formulation relies on infinitesimal generalised displacement screws which can simulate both errors and deflections. A unique feature of this model is that mesh properties (geometry and excitations) are coupled with the degrees-of-freedom thus leading to complex frequency and amplitude modulated excitation sources. For a number of planetary gears, it is found that the simulated load sharing between the planets compare well with the experimental evidence thus validating the contact modelling strategy. Finally, the results of extensive parameter analyses are displayed which illustrate the role of certain errors along with the interest and drawbacks of floating sun-gears or planets in high-speed applications
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Deake, Jeremy J. "Volume optimization of a simple planetary gear set." Thesis, California State University, Long Beach, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=1591595.
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This thesis describes a custom algorithm developed to optimize a simple planetary gear set. The optimization minimizes volume for one simple planetary gear set using American Gear Manufacturers Association stress equations, custom design constraints, and material constraints. Through predetermined reactions to adjustments, component features and planetary variables are modified systematically to obtain the target solution. This thesis demonstrates that the defined approach is an effective means of balancing all three components of a simple planetary gear set, thus resulting in a solution that has been optimized for volume.
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Bajer, Andrzej. "Parallel finite element simulator of planetary gear trains." Access restricted to users with UT Austin EID Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3032969.
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Qin, Xiaohao, and Jiahao Cheng. "Dynamic simulation of a planetary gear for robots." Thesis, Linnéuniversitetet, Institutionen för maskinteknik (MT), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-85627.
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Gear drives are widely applied in mechanical transmission systems and very accurate transmission systems are needed. In the robot industry, the planetary gear train (PGT) is commonly used to promote the torque transmission. One of the advantages of an ideal PGT is that the incoming torque is divided equally among the planet gear wheels. However, different manufacturing and assembling deviations may cause uneven load distributions. This is a serious problem that affects the load capacity and the stability of the torque transmission.SwePart has designed and patented a planetary gear blazing for very high-accuracy robots and zero gaps in the gear maintained during its operating time [25]. The purpose of this project is to determine how deviations such as pitch deviation and stiffness affect the magnitude of the contact forces acting on gear teeth from the ideal geometry.In order to model the ideal geometry, an inspection of the SwePart’s gears was needed. By using SOLIDWORKS, the common normal line which is perpendicular to the teeth profiles can be defined. This means that the base circle which is tangential to that common normal line can also be found.The gear profiles of the PGTs in this study were created using the software MATLAB based on the parametric equation of involute of the base circle. The data generated by MATLAB were then used to create 3D models of the PGTs in SOLIDWORKS. The gears were split into 2N+1 parts if the number of teeth is N, since different magnitude of the pitch deviations needs to be studied. It is more informative to compare the magnitude of contact forces acting on each half tooth.When the gears which are similar to the SwePart’s gears were finished, the x_t document was exported from SOLIDWORKS and imported into MSC_ADAMS to make the simulations. After that the materials were defined in the model and contact forces were added between teeth of the planetary gear and the ring gear. The magnitude of the contact forces acting on the rigid and flexible gear teeth were then compared. So, MSC_ADAMS needs to be used to mesh the rigid bodies to the flexible ones automatically by calling MSC_Nastran.MATLAB was used to compare the results and graphs from different ADAMS models.
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Sawatzky, Rene. "Vibration Based Planetary Gear Analysis and Damage Detection." DigitalCommons@CalPoly, 2014. https://digitalcommons.calpoly.edu/theses/1378.
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With this thesis the research at the engineering department is continued, based on previous thesis projects. These projects were considering the possibility of simulation gears with rigid bodies. After researches with different emphasizes on the rigid body simulation, the gained knowledge showed limitations of the rigid body model. Gear failures are very diverse and the actual simulation technique could not represent all necessary failure modes that can occur. That led to this thesis as a research project to find a way to detect and analyze the failure modes that cannot be considered with the current rigid body approach. With the flexible body theory and simulation tools (MSC:Adams) this gap of gear failure detection simulation can be closed. The objective is, making it possible to simulate all failure modes of a gear that can occur. Additionally the previous project on this topic were using gears of small laboratory conditions. An industry sector has been picked to work on a practical application. This application is a wind turbine gearbox. These gearboxes have common run-time errors which influences the profitability of the power generation. To model this system a gear design guide for wind turbine gearboxes is elaborated.
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Hu, Yong Hu. "A LOAD DISTRIBUTION MODEL OF PLANETARY GEAR SETS." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1511791020210108.
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Fair, Chad. "Synchronous Sampling Sideband Orders from Helical Planetary Gear Sets." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/36923.
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The sideband phenomenon is a common but obscure characteristic of the Rotary Dynamics field. In the automotive industry these sidebands have been found to produce a poor sound quality, resulting in customer dissatisfaction and warranty returns. In the interest of continued product improvement, research and development must resolve uncertainties in the current design methods. Qualitative relationships between the sideband characteristics and design parameters have developed in recent years, but the quantitative goal hasn't been achieved.
A Synchronous Sampling (SS) data acquisition system is applied to a helical planetary gear set to improve the understanding of the sideband characteristics and enhance the design process. An optical encoder, a component of the SS system, mechanically locked to the rotating system controls the A/D converter to sample at constant shaft angle increments. The phase-locked nature of SS allows the use of vector averaging to significantly lower the noise floor and improve the representation of the order domain.
In this work, the advantages of using a SS system with vector averaging capabilities are compared to the disadvantages of using a fixed sampling (FS) system. Utilizing the SS tool, this work also illustrates the influences of loading styles and values and speed on a gearmesh and its dominant sideband orders. Inspection of these influences suggests an opportunity for future work.Master of Science
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Dharap, Gaurang Satish. "A Method for Systematic Design of Planetary Gear Meshes." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586883501891193.
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Banerjee, Anindo. "A Model to Predict Sun Gear Radial Orbit of a Planetary Gear Set having Manufacturing Errors." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1344872497.
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Kurth, Franz [Verfasser]. "Efficiency Determination and Synthesis of Complex-Compound Planetary Gear Transmissions / Franz Kurth." München : Verlag Dr. Hut, 2012. http://d-nb.info/1029400172/34.
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Talbot, David C. "An Experimental and Theoretical Investigation of the Efficiency of Planetary Gear Sets." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1330630066.
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Wolfer, Scott. "Design and Analysis of A General-Purpose Planetary Gear Durability Test Machie." The Ohio State University, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=osu1409148817.
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GOTIA, BOGDAN, and MUCINO JORGE LOYA. "Advanced hybrid manufacturing process for high precision ring of a planetary gear – main focus on Abrasive Waterjet Machining." Thesis, KTH, Industriell produktion, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-193043.
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Under år 2008 uppskattades den totala produktionen av kugghjul inom bilindustrin till 2000 – 2500 miljoner detaljer, varav 1000 - 1400 miljoner av dessa är av hög kvalité [1]. För precisionskugghjul med modul under 1 mm kan tidsbegränsning och kostnader kopplade till design av skärverktyget elimineras genom att tillämpa en flexibel tillverkningsmetod som tillexempel abrasiv vattenskärning (AWJM). Denna studie undersöker designen av ett hybridtillverkningssystem konfigurerat kring AWJM samt föreslår finbearbetningsprocess via konventionella bearbetningsmetoder. Den tekniska möjligheten att producera kuggring av hög precision testas med en 5-axlig vattenjetmaskin och utvärderas enligt kvalitets nivåer för DIN-standard. För detta ändamål studerades ett kugghjul med modul 0,55 mm, 199 tänder, 110 mm i ytterdiameter och 72 mm i innerdiameter samt en tjocklek på 6 mm gjord av Armox T500, höghållfast stål. Resultaten visar på hög potential att uppnå ISO standardkvalité för kugghjul. Vissa kvalitetsegenskaper, definierade i DIN- och ISO-standarder, till exempel ytfinhet med låga värden; Ra 0,8 μm, uppnås vid användning av AWJM. Andra kvalitetskännetecken som profilavvikelse är relaterade till parametrar som skäreffekt, matningshastighet, mängd abrasivmedel, etc. Framtagna värden sträcker sig från Q10 och Q11 enligt DIN3967 vilket möjliggör slutoperationer som till exempel slipning. Geometrisk avvikelse, på ovansidan, gav en maximalt värde på 7 μm med en standardavvikelse på 4 μm. Jetstrålens eftersläpning observerades och kan kompenseras för medan resultatet av rundade hörn existerar i alla skärning med AWJ. Radiell förskjutning, tandtjocklek och index avvikelser visar värden som kan förbättras tillsammans med processoptimering, maskinkalibrering och eliminering av inneboende positionsavvikelser i maskinen. Varje enskild geometri kräver specifika processparametrar och CAM-programmens algoritmer behöver vidare optimeras för arbeten med tämligen små geometrier.Production of gears for the automotive industry during 2008 is estimated to have been between 2000 – 2500 million pieces, from which 1000 to 1400 million pieces were high quality gears [1]. For precision gears with module below 1 mm, the time limitations and costs associated with the design of the cutting tool can be eliminated by using a flexible manufacturing technology such as Abrasive WaterJet Machining (AWJM). This project investigates the design of a hybrid manufacturing system configured by use of AWJM and proposed finishing processes using conventional machining methods. The technical feasibility is analysed to produce high precision ring gears using a 5-axes AWJM system to achieve DIN standards quality levels. For this purpose, a gear with a module of 0.55 mm, 199 teeth and 110 mm in the outer diameter and 130 teeth and 72 mm in the inner diameter with a thickness of 6 mm is studied; the selected material is Armox T500, a high strength steel. The results indicate high potential of producing ISO quality standard gears. Certain quality characteristics defined in DIN and ISO standards, for instance surface roughness – values as low as Ra 0.8 μm, are possible to achieve accurately by using AWJM. Others quality features as profile deviation, are related to parameters as cutting power, feed rate, abrasive feed rate, etc. The displayed values ranged Q10 and Q11 according to DIN3967 which allows for use of further finishing operations such as grinding. The top geometry deviations of a 0.3 mm cut, display a maximum value of 7 μm with an average value of 4 μm. Observed jet lag effects can be improved. Rounded corner effect exists in all AWJ cuts. Runout, tooth thickness and index deviations show values that can be improved together with process optimization, machine calibration and elimination of machine inherent positioning deviations. Each particular geometry needs specific process parameters and CAM software algorithms need further optimization for working with rather small design geometries.
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Connerton, Michael J. "DEVELOPMENT OF A PLANETARY STYLE POWER UNIT FOR A LOWER EXTREMITY EXOSKELETON." Case Western Reserve University School of Graduate Studies / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=case1560270030843062.
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Ding, Huali. "Dynamic wear models for gear systems." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1194025602.
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Huang, Cheng-Chi, and 黃政棋. "Design and Characteristic Analysis of Magnetic Planetary Gears." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/23339483441920853208.
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碩士國立成功大學
機械工程學系碩博士班
94
Particles have a great affect on the quality of manufacturing for semiconductors and TFT-LCD factories. Dust is produced mainly from mechanical gears in conveyers and is primarily generated through contact friction. However, this mechanism also creates noise and heat, which combined with dust, greatly influence both the efficiency and reliability of mechanical gears. Although today, magnetic gears powered by high performance magnets are applied to the conveyer, improvements on the maximum stall torque and the number of transmission types still need to be made. This paper proposes that utilizing contact-free, magnetic planetary gears enhances the maximum stall torque in conveyers, offers less maintenance, has both high reliability and high speed reduction ratio, and can be constructed into compact devices. Therefore, they can also be applied to the speed reduction ratio machinery of wind powered systems. We implemented Finite Element Analysis software to further explicate our design method of magnetic planetary gears, and extend research on movement characteristics, stall torque, cogging torque and the number of the magnetic planet gears which influence the maximum stall torque. The magnetic planetary gears were developed to prove the design theory, and the paper proposes several causes of the measured inaccuracies.
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Yang, Chin-Cheng, and 楊金晟. "Study of Planetary Gears type-Continuously Variable Transmission System for Vehicle." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/yytdx3.
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碩士國立臺北科技大學
車輛工程系所
96
The Continuously Variable Transmission system is always the vehicles research and development goal, many vehicle manufactories unceasing to improve and invest new design to save energy, reduce environmental pollution and promotion comfortableness. The currently applied the broadest Continuously Variable Transmission system was still by the belt type or steel-belt type, but it’s unable to use in larger power vehicles. In this study, by using gear meshing has the high efficiency characteristic, so selects the planetary gear, and two degrees of freedom characteristics achieves using its organization in Continuously Variable Transmission. The conception uses the double power supply to actuate, one is the main power supply, another power is DC motor, and in order to achieve continuously variable speed by controls DC motor rotational speed. The study provides six connection methods, and aims at one kind of connection method detailed discussion. The result shows the Planetary Gear Continuously Variable Transmission system with compact structure does not to waste too much spare. Because of using the gear meshing transmission, so it has better transmission efficiency than the common vehicle with the Continuously Variable Transmission system.
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Frank, Nicolas Walter. "Analysis of the Concentric Planetary Magnetic Gear." Thesis, 2011. http://hdl.handle.net/1969.1/ETD-TAMU-2011-05-9158.
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In the field of electric machine design, a trend in many applications has been to design machines with increasing torque density. When machines fail to meet torque density requirements or are simply incapable of matching load torque, gears are commonly used. Magnetic gears have been proposed as a means of increasing torque density within electromechanical systems, while avoiding problems associated with traditional mechanical gears. While the idea behind magnetic gears goes back to early patents, their study and use in industry has been very limited to date.
This study looks into variations of the gear which could lead to more industrial use. The effect of pole count upon torque ripple is investigated with finite element analysis (FEA). The analysis is extended to new magnetic layouts which borrow from permanent magnet machine design. One of the most critical components of the gear, the stator pole pieces, are also investigated for variations which aid in construction while maintaining the performance of the gear.
As a means of supplementing analysis of the gear, winding function theory (WFT) is used to analyze the gear. Winding function theory has enjoyed success with induction, synchronous, and even switched reluctance machines in the past. This study is the first of its kind to apply winding function theory to a device devoid of windings altogether. It is shown that this method is capable of generating the stall torque and steady-state torque ripple waveforms which have been commonly attempted with FEA.
While magnetic gears enjoy distinct advantages over mechanical gears such as inherent overload protection, they are not as torsionally stiff as their mechanical counterparts. As such, the use of damper windings for the purpose of stiffening the gear against transient oscillations is also investigated. Several competing designs are investigated for their performance, and a final design is studied which is capable of arresting transient oscillations in less than a second.
In addition, a prototype has been fabricated and will be used to verify the analysis undertaken. The prototype is used to verify variations of the stator pole pieces as well as the inner rotor magnetic layout. A dynamometer has been assembled to test the performance of the prototype. A new design is also proposed for future work.
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De, Smidt Marc Ryan. "Internal vibration monitoring of a planetary gearbox." Diss., 2010. http://hdl.handle.net/2263/27506.
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Vibration monitoring is widely used to determine the condition of various mechanical systems. Traditionally a transducer is attached to the structure under investigation and the vibration signal recorded. This signal is then processed and the required information extracted from the signal. With epicyclic gearboxes this traditional approach is not advisable. This is in part due to the fact that the planet gears rotate internally on a planet carrier. Special techniques are therefore required to extract a viable data signal from the measured vibration signal. These techniques require an additional post-processing step in which a compiled data signal is extracted from the measured data signal. This work investigates the possibility of mounting transducers internally on the rotating planet carrier. Mounting transducers at this location removes the relative motion seen in traditional measurement techniques. An epicyclic gearbox is modified to facilitate the internal mounting of the accelerometers. A number of implementation problems are highlighted and solutions to these problems are discussed. A large portion of the work is dedicated to implementing and qualifying the epicyclic time synchronous averaging technique which is traditionally used to evaluate epicyclic gearboxes. As this technique forms the basis to evaluate the data obtained from internal measurements, it is of fundamental importance that the technique is implemented correctly. It is shown that vibration data can be reliably measured internally, by means of accelerometers mounted on the planet carrier. The internally measured data is compared to data obtained by traditional techniques and shown to be equally adept in detecting deterioration of a planet gear tooth. Simple condition indicators were used to compare the vibration data of the two techniques. It was seen that the data obtained from the internally mounted accelerometers was equally, and in certain cases, slightly more sensitive to planet gear damage. This implies that the technique can be used successfully to evaluate epicyclic gearbox damage. There are a number of practical implementation problems that will limit the use of this technique. As the technology becomes available to transmit measured vibration signals wirelessly, the application of the internal measurement technique will become more viable. A preliminary investigation was also launched into the relationship between a planetary gearbox with a single planet gear and one with multiple planet gears. It is illustrated that vibration data, measured from a gearbox containing a single planet gear, shows an increased sensitivity to planet gear damage. Although a special test rig might be required, the increased sensitivity to damage can provide a method to test planet gears in critical applications such as aircraft gearboxes. CopyrightDissertation (MEng)--University of Pretoria, 2010.
Mechanical and Aeronautical Engineering
unrestricted
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Lin, Feng-Tien, and 林豐田. "Constant Speed Mechanism of Planetary Gear Train." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/41696246134654558915.
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碩士國立中山大學
機械與機電工程學系研究所
95
In current years, searching for substitute energy such as the wind and ocean power of renewable energy is an important subject due to the petroleum shortage. The gear box is the key mechanism in the system of wind and ocean power. Moreover, the main function of the system is to generate electricity by speeding up the rotative velocity. However, the power of environment changes momentarily and makes the turbine a variable input. In order to improve the efficiency of generating electricity, it should get the constant input to keep the high quality of generating electricity. First of all, the study focuses on the gear box and synthesizes a constant speed mechanism of planetary gear train which degrees of freedom is two. In the mechanism, inputs are the variable speed turbine and a constant speed motor. When they input the mechanism, a constant speed output will be made to supply the generator. Secondly, it is necessary to set up the real object of the constant speed mechanism of planetary gear train. Finally, observing the real condition from the experiment to prove the theory is correct.
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Huang, Chia-Lin, and 黃佳凌. "Modeling and Application of Planetary Gear Train." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/27726735684445786726.
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Chen, Dao-Hong, and 陳道鴻. "Study of Planetary Gear Power Split System." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/21738007840821932468.
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碩士明志科技大學
機械工程系機械與機電工程碩士班
103
This study designs and produces a power split drive (PSD) of the planetary gear set in order to verify the operation of parallel hybrid vehicles and its electromechanical energy conversion efficiency. Planetary gear contains a 30 teeth of the sun gear, three 24 teeth of planetary gear and a 78 teeth of ring gear. For the convenience to measure the energy conversion efficiency of the power split drive, this study uses the test rated power of 1000W BLDC to instead the engine, and the rated power of 750W BLDC and 350W BLDC to instead MG2 as motor and MG1 as generator respectively to test the operation of the power split drive (PSD) of the planetary gear set and measuring the energy power systems in normal mode and recirculation mode of conversion efficiency. These results indicate that the production of this study, a power split drive (PSD) of the planetary gear set, maximum system efficiency is 50% approximately. This study uses ADVISOR as a simulation platform to analyze each operation mode calculation of TOYOTA Prius. And power split drive is simulatedrespectivelyin the normal and re-circulation driving modes. The speed and torque of engine and MG1 and MG2 are inputs and the ring gear is output to measure the output torque, the speed and power variation ofpower split drive in two driving modes.
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Chen, Tzu-Hsia, and 陳子夏. "Research and Development of Planetary Gear Reducers." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/4qvcr4.
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博士國立虎尾科技大學
機械與機電工程研究所
101
Due to the reason of compact size, light weight, strong strength, high reduction ratio, and multi-degrees of freedom, planetary gear trains are commonly used in various transmissions. The works in this thesis including kinematic design, efficiency analysis, engineering design, and prototype manufacture of planetary gear trains, the complete process can call as the research and development of planetary gear reducers. By referring to the train value equation and latent power theorem, the reduction-ratio and meshing-efficiency equations of planetary gear trains are derived. Based on the reduction-ratio and meshing-efficiency equations, the kinematic design and meshing-efficiency analysis of corresponding planetary gear trains are accomplished. Four prototypes of planetary gear reducers are manufactured. The four prototypes including: (a)2K type planetary gear reducer with reduction ratio equal to four (Rr=4), (b)Two-stage planetary gear reducer with Rr=19.8, (c)3K type planetary gear reducers with Rr=156, and (d)3K type planetary gear reducers with Rr=50, and Rr=100. The four prototypes are installed to the test platform to carry out the efficiency test. We conclude: 1. For one- and two-stage planetary gear reducers, the mechanical efficiency decreases when input rotating speed increases. 2. For one- and two-stage planetary gear reducers, the mechanical efficiency increases when output torque increases. 3. Due to the reason of power circulation, the meshing efficiencies of 3K and 2K-2H type planetary gear reducers are not good.
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Liang, Chun-Chieh, and 梁竣傑. "Dynamic Load Analysis of Planetary Gear Systems." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/53926229843237199791.
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碩士中華大學
機械與航太工程研究所
94
This thesis expects to analyze the dynamic characteristics of the 2K-H planetary gear systems that includes the investigation effect of the design parameter on the gear system dynamics. The analysis techniques of planetary gear system dynamics will be established. Due to their special features of the high power-volume ratio and easy realization of the concentric input and output shafts, the planetary gear sets have been widely used in machine transmissions. However with the increase of their higher demand of specs such as rotation speed, precision, and noise and vibration etc, the analysis of dynamics for the gear systems has become important. Firstly, the tooth profiles of standard and nonstandard gears, mesh points, and phasing relation of variant teeth pairs are formulated. Then, the time varying stiffness of sun gear- planet gear and ring gear- plant gear meshing gears can thus be calculated. Next, after employing Lagrange’s equation, the equations of motion of the gear systems in an equivalent discrete from, including the models of gears, a motor, gear shafts, and loadings, are derived. Further, the torques applied on the driving and driven shafts are the excitation force of the systems. Finally, using the Jacobi transformation and the Runge-Kutta integration respectively, natural frequencies, dynamic deformations and meshing forces, and dynamic factor will be calculated. Additionally, this thesis, using the commercialized software LS-DYNA, calculates the planetary gear system dynamics in a continuous approach. The analyzing process; including geometric model and mesh generation, initial and boundary conditions, and numerical and output controls; are introduced abundantly. The result by using LS-DYNA is compared to the result by the above discrete model by which the proposed discrete model both in theory and in numerical can be verified. Finally the influences of the design parameters including the rotation speed, damping, and correction factor on the gear system dynamics analysis are investigated. It demonstrates that the theoretic model and the calculated results of this thesis can be successfully applied when designing planetary gear systems.
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Wu, Yu-lung, and 吳昱龍. "Design of Planetary Gear System with Double Circular-Arc Hilical Gear." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/82683420792134468931.
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碩士正修科技大學
機電工程研究所
95
This paper studied and improved a three stage planetary gear winch with double circular-arc gears. Tooth contact analysis and bending stress were studied by chinese standard double circular-arc gear. The contact stress can be reduced largely because the relative curvature of tooth of double circular-arc gear is smaller than involute gear. The winch with double circular-arc gear can sustain a larger torque than the winch with other type of gear, therefore the size of the winch can be reduced too. Tooth contact stress and bending stress were studied in this paper. Finally, we developed a new tooth profile for double circular-arc gear. This paper improved original double circular-arc gear, developed a new design and applied analysis software to this drive. The processes of design and manufacture were more simple. The advantage of the new drive was confirmed.
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Hsien, Cha Pao, and 查保賢. "Micro Planetary Gear Parametric Design and Modal Analysis." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/84503546738537505874.
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碩士正修科技大學
機電工程研究所
100
With the high-tech advances, improved design software and the increasing performance and accuracy of processing machine tools, client demands for improvement in the product quality requirements; In addition to the economic cycle accelerating, corporate vision and planning should go on the cutting edge. Through the abilities enhancing of the research and development of energy, it might be recovering of recession. Of planetary gear reducer industry, product research and development focus shift from the functionality of the finished product to the product price competitive evolution to the requirements of a good quality of operation, combined with modern software-aided design, manufacturing, analysis and simulation techniques, to shorten the product development cycle. This thesis focuses on the above view for study, the first analysis of vibration theory, the mathematical model of the gear pair vibration model with planetary gear. Secondary, Pro / E software were to construct the spur gear, ring gear and the planetary gear geometric model. Through parametric modeling methods, the model can be used as a future tooth modified design to establish a standard process, completing the planetary gear system modal analysis. At last, use software ANSYS to constructed the gear’s module analysis, and software Solidwork / COSMOSMotion constructed nature of kinematic analysis of gear pair. Finally, both to design and discuss this work can be refer industry planetary gear system reference.
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Chang, Shi-Ren, and 張釋仁. "Hybrid Control of Cam-Controlled Planetary Gear Trains." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/b49a75.
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碩士國立虎尾科技大學
自動化工程研究所
100
The purpose of this work is to propose hybrid control systematic approach of motion control for cam-controlled planetary gear trains (CCPGTs), such that it can produce precision output motions. First, the motion characteristics and structures of cam-controlled planetary gear trains are investigated. Then, the parameters of size and the speed of input into the equations of motion, you can get the desired curve of output motion. Moreover, the controller design is performed. The mathematical model of the system is obtained by the system identification experiment, and then the design and analysis of modified fuzzy sliding mode control and iterative learning control, respectively, are conducted to find the better controller types and control parameters, Furthermore, an example is given to illustrate the design and simulation of the process. Finally, the experimental results show that the experimental output speed is well agreed with the required output speed, and the fuzzy sliding mode control can control the output speed of movement in the desired curve, when coupled with iterative learning control, the each cycle can gradually reduce the error of each cycle, Consequently, the proposed method for the motion design and control of hybrid control systematic approach is feasible.
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Huang, Guan-lin, and 黃冠霖. "Analysis of Load Sharing in Planetary Gear Sets with a Floating Sun Gear." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/95522381045884702820.
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碩士國立中央大學
機械工程研究所
99
Planetary gear sets can achieve higher power density levels, because of multiple parallel power paths by each planet branches. However, load sharing among planets are usually even, due to the manufacturing errors, assembly errors and deformation of parts in planetary gear sets. Therefore, load balancing mechanisms are widely used in multi-planet system. The most common load balancing mechanism is floating sun gear design. In the recent studies, simplified mathematical models are often used for analysis of load sharing in planetary gear system. The goal of the thesis is to establish an approach based on the involute gear geometry for analysis of load sharing among the planet gears, possibilities for assembly, and movable area of the sun gear. Mesh relation for the planetary gear set is at first derived based on two-dimension involute gear geometry. The possibility to assembly of the planetary gear train under consideration of various design parameters and errors is determined according to the assembly process. The movement of the sun gear is restricted by planets in two different types, i.e. restriction by single planet with double contact tooth pairs, and restriction by double planets with single contact gear tooth pair. In order to find out the movable area of the sun gear center, maximum movable distance of the sun gear in any direction will be obtained according to both the restriction types.. The shared loading among the planets in the planetary gear train is analyzed in the study by using an analytical approach as well as a numerical method. A jumping behavior of the load sharingin the planetary gear set with a fixed sun gear is also explained in the thesis based on the change of the meshing stiffness of the contact gear tooth pair due to the change of the number of the contact tooth pair. The study also introduced object-oriented programming for anakysis to enhance the calculation efficiency. The analysis result for the movable area of the floating sun gear center in the planetary gear train with 3 to 5 planets showed that the boundary of the movable area is a polygon and the number of the borders is twice the number of the planets. Double planets with single contact tooth pair is the most likely restriction type of the floating sun gear. Furthermore, the movable area of the floating sun gear is proportional to the backlash corresponding to the tooth thickness tolerance. Acoording to the the analysis result of the assembly condition of the planetary gear set with three planets under consideration of tooth thickness errors, radial pinhole position errors and tangential pinhole position errors, the maximum tolerable error value for assembility is linearly proportional to the backlash. The analysis of the load sharing in the planetary gear set under consideration of the influences of various types of errors and design parameters shows that the tangential pinhole position error is the critical influence tolerance. Second is the tooth thickness error. The radial pinhole position error has little effect on the load sharing behavior. In addition, the uneven load sharing due to a tangential pinhole position error can be compensated with installation of a planet gear on the pinhole position with specific tooth thickness. Furthermore, increased input torque is also ablbe to reduce the uneven load sharing. In case of floating sun design, the even load sharing among planets can be achieved for the planetary gear train with three planets. Similary the load sharing in the gear trains with four or five planets can be also improved, but uneven.