Relevant bibliographies by topics / Planetary gears

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Planetary gears'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

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Journal articles on the topic "Planetary gears"

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YANASE, Yoshikoto, Yuji ASHIZAWA, Masashi OCHI, and Hiroshi GUMBARA. "GM-12 GEAR GRINDING MACHINE FOR INTERNAL GEARS OF PLANETARY GEAR SYSTEM(MANUFACTURING OF GEARS)." Proceedings of the JSME international conference on motion and power transmissions 2009 (2009): 159–62. http://dx.doi.org/10.1299/jsmeimpt.2009.159.

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Hsieh, Long Chang, Teu Hsia Chen, and Hsiu Chen Tang. "On the Kinematic and Meshing Efficiency Analysis of Planetary Gear Reducer with Two Ring Gears." Applied Mechanics and Materials 575 (June 2014): 395–99. http://dx.doi.org/10.4028/www.scientific.net/amm.575.395.

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Planetary gear trains can be used as the gear reducers with high reduction ratio. This paper focused on the kinematic and meshing efficiency analysis of planetary simple gear reducer with two ring gears. First, the planetary simple gear train with two ring gears is proposed by using different shift coefficients. Then, by referring to the train value equation, the reduction-ratio equation is derived for the design the planetary gear reducer with two ring gears. According to reduction-ratio equation, the planetary gear reducers with two ring gears and having reduction ratios (20, 50, and 100) are synthesized. Then, based on the latent power theorem, the meshing efficiency equation of planetary gear train with two ring gears is derived. According to the meshing efficiency equation, the meshing efficiencies of planetary gear trains with two ring gears are analyzed. In this paper, we conclude: (1) Larger reduction ratio makes less meshing efficiency, and (2) The meshing efficiency of planetary gear reducer with two ring gears is not good.
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Xu, L., and X. Zhu. "Magnetic planetary gear drive." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223, no. 9 (June 2, 2009): 2167–81. http://dx.doi.org/10.1243/09544062jmes1441.

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In this study, a magnetic planetary gear drive is proposed and its operating principle is introduced. The equations of the geometrics and kinematics for the drive are given. The equations of the magnetic induction intensity for the magnetic gear teeth are deduced. The equations of the torques between the planetary gears and sun gear or crown gear are developed. The available parameters of the magnetic planetary drive are presented and the magnetic flux density distributions of the magnetic gear teeth are investigated. The torques between the planetary gears and sun gear or crown gear are analysed. When the relative rotating angle between the gears is increased, the magnetic torque grows, gets to a maximum value, and then drops. The maximum torque represents extreme load-carrying ability of the drive system. The pole pair number, the tooth thickness and the tooth width of the magnetic gears, and the speed ratio of the drive have obvious influence on the output torques. To obtain a large magnetic torque, a large tooth width of the gear, a proper pole pair number, a proper radial thickness of the tooth, a large planetary gear number, and a large speed ratio should be chosen.
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Ye, You Dong, and Wen Xiang Zhang. "Outer Mesh and "Two Teeth Difference" Planetary Gear Transmission Parameter Optimization Design." Advanced Materials Research 308-310 (August 2011): 2237–40. http://dx.doi.org/10.4028/www.scientific.net/amr.308-310.2237.

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Based on the structure and failure features of a new type of outer mesh and “two teeth difference” planetary gear transmission, a optimize method for the gear’s parameters is pointed out avoid of structure failure. The modification coefficients of the gear pairs are obtained through optimization design, so the sliding coefficient for the driving gear, driven gear and planetary gear tending to be equal. The relative slide between gears is reduced, and the working life of the structure is increased greatly.
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Zhou, Chi, Qi Wang, Liangjin Gui, and Zijie Fan. "A numerical method for calculating the misalignments of planetary gears." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 233, no. 10 (October 5, 2018): 2624–36. http://dx.doi.org/10.1177/0954407018804114.

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Because misalignments derived from the deflections of transmission systems have significant effects on the load capacity of planetary gears, these misalignments should be accurately considered in the analysis of planetary gears. Here, we develop a new approach for misalignment calculations of cylindrical planetary gears. A nonlinear model of a planetary gear transmission system is built based on the finite element method and nonlinear bearing theory for misalignment calculations that can precisely simulate the structural characteristics and mechanical properties of a planetary gear system. The nonlinear static equation of a planetary system is solved efficiently using the Newton–Raphson method. Gear misalignments of all the planet branches are determined by the results of the system static analysis. The reliability and advantages of the proposed method are discussed via case studies. The effects of including the variation of the planet positions and the nonlinearity of the bearing stiffness on the planetary gear misalignments under different load conditions are studied. The misalignments can be reliably determined using the proposed method for calculating the load capacity of planetary gears.
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Hsieh, Long Chang, Hsiu Chen Tang, Tzu Hsia Chen, and Jhen Hao Gao. "The Kinematic Design of 2K Type Planetary Gear Reducers with High Reduction Ratio." Applied Mechanics and Materials 421 (September 2013): 40–45. http://dx.doi.org/10.4028/www.scientific.net/amm.421.40.

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3K type and 2K-2H type planetary gear trains can be designed to have high reduction ratios. Due to the reason of power circulation, these two kinds of planetary gear trains with high reduction ratios have low meshing efficiencies. The 2K type planetary gear reducer only contain two ring gears and one carrier, hence it will not have the problem of power circulation and will have better meshing efficiency than 3K type and 2K-2H type planetary gear reducers. Also, in general, the gear reducers with high reduction ratio are compound gear system. The purpose of this paper is to propose 2K type planetary simple gear reducers with high reduction ratios. Based on the concept of train value equation, the kinematic design of 2K type planetary gear trains with high reduction ratio are synthesized. Six 2K type planetary gear reducers are designed to illustrate the kinematic design process. Three of the examples are 2K type planetary gear reducers with simple planet gears. For the 2K type planetary simple gear reducer, there is a problem that is the simple planet gear engages to two ring gears with different tooth number. One example is used to illustrate how to design the two ring gears with different shift coefficient to engage the same planet gear. Based on the proposed process, all 2K type planetary simple gear reducers with high reduction ratios can be synthesized.
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Yang, Tian Fu, and Shao Ze Yan. "Dynamic Simulation of Planetary Gearbox." Key Engineering Materials 584 (September 2013): 220–24. http://dx.doi.org/10.4028/www.scientific.net/kem.584.220.

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Planetary gears are the most popular transmission machinery in large reduction ratio circumstances, which is because of the advantages of compactness, co-axial and high power efficiency. Accurate dynamic model is crucial when planetary gears are used in precise positioning and controlling systems. A dynamic model considering gear backlash and bearing compliance is established in this work. A typical planetary gearbox is simulated with the model. The results prove the validity of the model and demonstrate that gear backlash and bearing compliance have significant influence on planetary gear transmission.
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Nikolic-Stanojevic, Vera, Ljiljana Veljovic, and Cemal Dolicanin. "A New Model of the Fractional Order Dynamics of the Planetary Gears." Mathematical Problems in Engineering 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/932150.

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A theoretical model of planetary gears dynamics is presented. Planetary gears are parametrically excited by the time-varying mesh stiffness that fluctuates as the number of gear tooth pairs in contact changes during gear rotation. In the paper, it has been indicated that even the small disturbance in design realizations of this gear cause nonlinear properties of dynamics which are the source of vibrations and noise in the gear transmission. Dynamic model of the planetary gears with four degrees of freedom is used. Applying the basic principles of analytical mechanics and taking the initial and boundary conditions into consideration, it is possible to obtain the system of equations representing physical meshing process between the two or more gears. This investigation was focused to a new model of the fractional order dynamics of the planetary gear. For this model analytical expressions for the corresponding fractional order modes like one frequency eigen vibrational modes are obtained. For one planetary gear, eigen fractional modes are obtained, and a visualization is presented. By using MathCAD the solution is obtained.
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Chen, Yuxiang, Mutellip Ahmat, and Zhong-tang Huo. "Dynamic meshing incentive analysis for wind turbine planetary gear system." Industrial Lubrication and Tribology 69, no. 2 (March 13, 2017): 306–11. http://dx.doi.org/10.1108/ilt-12-2015-0203.

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Purpose Irregular windy loads are loaded for a wind turbine. This paper aims to determine the form of gear failure and the working life of the gear system by assessing the dynamic strength of gears and dynamic stress distribution. Design/methodology/approach The helical planetary gear system of the wind turbine growth rate gearbox was investigated, and while a variety of clearance and friction gear meshing processes were considered in the planetary gear system, a finite element model was built based on the contact–impact dynamics theory, solved using the explicit algorithm. The impact stress of the sun gear of the planetary gear system was calculated under different loads. An integrated planetary gear meshing stiffness, and the error of system dynamic transmission error were investigated when the planetary gear meshes with the sun or ring gears. Findings The load has little effect on the sun gear of the impact stress which was known. The varying stiffness is different while the planetary gear meshes with the sun and ring gears. There were differences between the planetary gear system and the planetary gear, and with load, the planetary gear transmission error decreases. Originality/value This study will provide basis knowledge for the planetary gear system.
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Xu, Zhi Qiang, and Jian Huang. "Research on Stress and Load with the Effect of Number of Teeth Planetary Gears Matching." Advanced Materials Research 1014 (July 2014): 120–23. http://dx.doi.org/10.4028/www.scientific.net/amr.1014.120.

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Impact of number of tooth matching to load distribution of planetary gears is mainly investigated in this paper. The entire finite element model of planetary gear trains is established so as to analyze and calculate gear stress and number of tooth matching have an impact on load distribution homogeneity of planetary gears on the rated load working conditions. A new method of number of teeth design of planetary gear trains is put forward that number of teeth of sun wheel and number of teeth of gear ring are multiples as great as numbers of planetary gears. Load uneven coefficient of the example is proposed and solved, which provides theoretical basis on carrying capacity calculation, strength analysis and calculation of fatigue life of planetary transmission.
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Dissertations / Theses on the topic "Planetary gears"

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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.
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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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Books on the topic "Planetary gears"

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Parker, Robert G. Modeling, modal properties, and mesh stiffness variation instabilities of planetary gears. [Cleveland, Ohio]: National Aeronautics and Space Administration, Glenn Research Center, 2001.

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Savage, M. Effects of planetary gear ratio on mean service life. [Washington, DC]: National Aeronautics and Space Administration, U.S. Army Research Laboratory, 1996.

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Savage, M. Effects of planetary gear ratio on mean service life. [Washington, DC]: National Aeronautics and Space Administration, U.S. Army Research Laboratory, 1996.

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Folenta, Dezi. Design, manufacture, and spin test of high contact ratio helicopter transmission utilizing self-aligning bearingless planetary (SABP). [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988.

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Planetary gear. New York: Roof, 1991.

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Arnaudov, Kiril, and Dimitar Petkov Karaivanov. Planetary Gear Trains. Boca Raton : Taylor & Francis, a CRC title, part of the Taylor & Francis imprint, a member of the Taylor & Francis Group, the academic division of T&F Informa, plc, [2019]: CRC Press, 2019. http://dx.doi.org/10.1201/9780429458521.

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Roland, Herrmann. From planet gears to digital print: 1898-1998, 100 years KBA-Planeta AG. Edited by Kühnrich Peter, Bolza-Schünemann Albrecht, Dänhardt Martin, and Plage Dieter. Radebeul, Germany: KBA-Planeta AG, 1998.

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Wei xing xing xing chi lun chuan dong she ji. Beijing Shi: Guo fang gong ye chu ban she, 2013.

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AG, KBA-Planeta. From planet gears to digital print: 1898-1998, 100 years KBA-Planeta AG. Radebeul: KBA Planeta, 1998.

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CCI. Au: Planetary Gears. Pearson Education, Limited, 2007.

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Book chapters on the topic "Planetary gears"

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Vullo, Vincenzo. "Gear Trains and Planetary Gears." In Springer Series in Solid and Structural Mechanics, 695–772. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36502-8_13.

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Arnaudov, Kiril, and Dimitar Petkov Karaivanov. "Involute Gears with Asymmetric Teeth." In Planetary Gear Trains, 339–42. Boca Raton : Taylor & Francis, a CRC title, part of the Taylor & Francis imprint, a member of the Taylor & Francis Group, the academic division of T&F Informa, plc, [2019]: CRC Press, 2019. http://dx.doi.org/10.1201/9780429458521-39.

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Arnaudov, Kiril, and Dimitar Petkov Karaivanov. "Simplified Verifiable Calculation of A I ¯ -Planetary Gear Train Gears (according to ISO 6336)." In Planetary Gear Trains, 153–72. Boca Raton : Taylor & Francis, a CRC title, part of the Taylor & Francis imprint, a member of the Taylor & Francis Group, the academic division of T&F Informa, plc, [2019]: CRC Press, 2019. http://dx.doi.org/10.1201/9780429458521-17.

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Pozdîrcă, Alexandru. "Noncircular Planetary Gears Applied to Scissors." In Power Transmissions, 667–74. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-6558-0_54.

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Trubachev, Evgenii, and Alexander Mogilnikov. "Planetary mechanisms based on worm and spiroid gears." In Advances in Mechanism and Machine Science, 915–24. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20131-9_91.

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Xue, Song, Rodney Entwistle, Ilyas Mazhar, and Ian Howard. "The Torsional Stiffness of Involute Spur Planetary Gears." In Proceedings of the 9th IFToMM International Conference on Rotor Dynamics, 1369–79. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-06590-8_112.

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Höller, Anton, Frank Huber, Livia Zumofen, Andreas Kirchheim, Hanspeter Dinner, and Hans-Jörg Dennig. "Additive Manufactured and Topology Optimized Flexpin for Planetary Gears." In Industrializing Additive Manufacturing, 337–56. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54334-1_24.

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Huang, Yufei, and Ling Zhang. "Design of Planetary Gears for Wind Power Transmission Mechanism." In Advances in Intelligent Systems and Computing, 1506–9. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-25128-4_185.

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Jomartov, Assylbek, and Amandyk Tuleshov. "Modeling Dynamics of Planetary Gears of Crank Press on SimulationX." In Mechanisms and Machine Science, 41–48. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-03320-0_5.

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Sanchez-Espiga, J., A. Fernandez-del-Rincon, M. Iglesias, and F. Viadero. "Influence of the phase in planetary gears load sharing and transmission error." In Advances in Mechanism and Machine Science, 1059–67. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20131-9_105.

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Conference papers on the topic "Planetary gears"

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Guo, Yichao, and Robert G. Parker. "Mesh Phasing Relations of General Compound Planetary Gears." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35799.

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This paper systematically studies the mesh phase relations of general compound planetary gears. The mesh phase relations are described by the relative phases between mesh tooth variation functions of all gear meshes. The analysis allows for the fact that compound planetary gears may have gear meshes with different mesh periods. A numbering method is proposed for the accurate definitions of the relative phases in a general compound planetary gear. The phases of all gear meshes relative to the base referred mesh are calculated analytically. Important relations among these relative phases are also studied. The results from this study are important for the clarification of the mesh phasing properties of general compound planetary gears, and they are necessary for the dynamic analysis of compound planetary gears, which involves time-varying mesh stiffnesses.
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Eritenel, Tugan, and Robert G. Parker. "Vibration Modes of Helical Planetary Gears." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87494.

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This paper examines the vibration modes of single stage helical planetary gears in three dimensions with equally spaced planets. A lumped-parameter model is formulated to obtain the equations of motion. The gears and shafts are modeled as rigid bodies with compliant bearings at arbitrary axial locations on the shafts. A translational and a tilting stiffness account for the force and moment transmission at the gear mesh interface. The modal properties generalize those of two-dimensional spur planetary gears; there are twice as many degrees of freedom and natural frequencies due to the added tilting and axial motion. All vibration modes are categorized as planet, rotational-axial, and translational-tilting modes. The modal properties are shown to hold even for configurations that are not symmetric about the gear plane, due to, for example, shaft bearings not being equidistant from the gear plane. Computational modal analysis are performed to numerically verify the findings.
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Ishida, Takeshi, and Teruaki Hidaka. "Effects of Assembly and Manufacturing Errors on Transmission Error of Planetary Gears." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0047.

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Abstract Transforming 2K-H type planetary gears with three planet gears into an equivalent model with many degrees of freedom, in a plane perpendicular to the input and output shafts, the loci of the displacement of a floating sun gear were analyzed theoretically by using the equivalent model. The theoretical locus of the displacement of the sun gear was nearly identical to the experimental one. K-H-V type planetary gears have been used as the reduction gears in the industrial robot, and have desired to decrease the transmission error between the input and output shafts for increasing the positioning accuracy of the robot. The K-H-V type planetary gears composed of a sun gear for the input, three planet gears, three crankshafts, two disks with cycloidal teeth, an internal gear with pin type teeth, and a carrier for the output were also transformed into the equivalent model in the same manner as the 2K-H planetary gears, and the effects of manufacturing and assembly errors of elements on the transmission error were determined theoretically.
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Parker, Robert G., and Xionghua Wu. "Structured Eigensolution Properties of Planetary Gears With Elastically Deformable Ring Gears." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87340.

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The distinctive modal properties of equally spaced planetary gears with elastic ring gears are studied through perturbation and a candidate mode method. All eigenfunctions fall into one of four mode types whose structured properties are derived analytically. Two perturbations are used to obtain closed-form expressions of all the eigenfunctions. In the Discrete Planetary Perturbation (DPP), the unperturbed system is a discrete planetary gear with a rigid ring. The stiffness of the ring is perturbed from infinite to a finite number. In the Elastic Ring Perturbation (ERP), the unperturbed system is an elastic ring supported by the ring-planet mesh springs; the sun, planet and carrier motions are treated as small perturbations. A subsequent candidate mode method analysis proves the perturbation results and removes any reliance on perturbation parameters being small. All vibration modes are classified into rotational, translational, planet and purely ring modes. The well defined properties of each type of mode are analytically determined. All modal properties are verified numerically.
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5

Cooley, Christopher G., and Robert G. Parker. "Vibration Structure of Gyroscopic Planetary Gears." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48506.

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This study investigates the vibration structure of high-speed, gyroscopic planetary gears. The vibration modes of these systems are complex-valued and speed dependent. Three mode types exist, and these are classified as planet, rotational, and translational modes. Each mode type is mathematically proven by the use of a candidate mode method. Reduced eigenvalue problems are determined for each mode type. The eigenvalues for an example high-speed planetary gear are determined over a wide range of carrier speeds. Divergence and flutter instabilities are observed at extremely high speeds.
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6

Parker, Robert G., and Vijaya Kumar Ambarisha. "Nonlinear Dynamics of Planetary Gears Using Analytical and Finite Element Models." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34315.

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Vibration induced gear noise and dynamic loads remain key concerns in many transmission applications that use planetary gears. Tooth separations at large vibrations introduce nonlinearity in geared systems. The present work examines the complex, nonlinear dynamic behavior of spur planetary gears using two models: (i) a lumped-parameter model, and (ii) a finite element model. The two-dimensional lumped-parameter model represents the gears as lumped inertias, the gear meshes as nonlinear springs with tooth contact loss and periodically varying stiffness due to changing tooth contact conditions, and the supports as linear springs. The two-dimensional finite element model is developed from a unique finite elementcontact analysis solver specialized for gear dynamics. Mesh stiffness variation excitation, corner contact, and gear tooth contact loss are all intrinsically considered in the finite element analysis. The dynamics of planetary gears show a rich spectrum of nonlinear phenomena. Nonlinear jumps, chaotic motions, and period-doubling bifurcations occur when the mesh frequency or any of its higher harmonics are near a natural frequency of the system. Responses from the dynamic analysis using analytical and finite element models are successfully compared qualitatively and quantitatively. These comparisons validate the effectiveness of the lumped-parameter model to simulate the dynamics of planetary gears. Mesh phasing rules to suppress rotational and translational vibrations in planetary gears are valid even when nonlinearity from tooth contact loss occurs. These mesh phasing conclusions, however, are not valid in the chaotic and period-doubling regions.
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7

Shoda, Katsuhiko, Toyoaki Furukawa, Youichi Iwanaga, and Yuji Matsunami. "Experimental Study and Numerical Simulation of Vibration and Noise of Planetary Gears." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/ptg-14437.

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Abstract This paper presents experimental study and numerical simulation of vibration and noise of a speed increaser, which consist of a star type planetary gears and a planetary type epicyclic gear train. The ring mode vibration of internal gear in the star type planetary gears and torsional vibration of planetary gear in the planetary type epicyclic gear train are measured by use of telemetry system. The influence of tooth profile error for the vibration and the noise is clarified. The numerical simulation is also carried out to evaluate the exciting force and it’s associated vibration. In this method, the coupled vibration of shaft bending, torsional and ring mode vibration of the internal gear are taken into account employing modal synthesis method. The simulation results shows a good agreement with the experimental ones. And it is found that the ring mode vibration magnifies the higher order component of gear mating frequency.
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8

Ikejo, Kiyotaka, Kazuteru Nagamura, Tuneji Yada, and Yoshiya Kagari. "Self-Locking of 2S-C Type Planetary Gear Train Composed of External Gears." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86291.

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A planetary gear train is used in a transmission in many fields, because it has a smaller size, a lighter weight, and a larger gear ratio than a conventional gear train. However, a planetary gear train has a lower efficiency than a conventional gear train. Self-locking sometimes occurs, in which case the planetary gear train can not be driven, because of a significant low efficiency. In this study, we theoretically analyzed the efficiency of a 2S-C type planetary gear train composed of external gears, and presented the condition in which the self-locking occurs. Furthermore, we examined the self-locking of 2S-C type planetary gear train composed of external gears using several gear sets with different numbers of teeth by the practical test. As the result, the condition of the self-locking which was analyzed theoretically agreed with experimental result.
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9

Liu, Wei, Yunbo Yuan, Tao He, and Donghua Wang. "Free Vibration Analysis of Two-Stage Planetary Gear With Friction." In ASME 2018 Noise Control and Acoustics Division Session presented at INTERNOISE 2018. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/ncad2018-6133.

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Considering the effect of teeth surface sliding friction, free vibration of two-stage planetary gears (TPG) is studied theoretically for the first time. The lateral-torsional coupling dynamic model and equation are established with three degrees of freedom: two translations and one rotation. The change rule of natural frequency is discussed with the case of first stage planetary gear’s number 4 and second stage planetary gear’s number 3, 4 and 5. Afterwards three vibration modes are summarized by calculating the free vibration. In order to understand the behavior of friction, the effect of friction on natural frequencies is analyzed for the case of considering friction and not considering friction. Furthermore, the ‘self-coupling’ phenomenon is obtained from the vibration of center component of TPG Meanwhile, the ‘mutual coupling’ is obtained between the first-stage planetary gear (FPG) and the second-stage planetary gear (SPG).
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Lin, Jian, and Robert G. Parker. "Natural Frequency Spectra and Vibration Modes of Planetary Gears." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/ptg-5786.

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Abstract This work develops an analytical model of planetary gears and uses it to investigate their natural frequencies and vibration modes. The model admits three planar degrees of freedom for each of the sun, ring, carrier and planets. It includes key factors affecting planetary gear vibration such as gyroscopic effects, time-varying stiffness, and static transmission error excitation. For the linear time-invariant case, examination of the associated eigenvalue problem reveals the well-defined structure of the vibration modes, where the special structure results from the cyclic symmetry of planetary gears. Vibration modes are classified into rotational, translational and planet modes. The unique characteristics of each type of mode are analytically investigated in detail. For each class of mode, reduced-order eigenvalue problems are derived. The modal strain energy distributions are also discussed.
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Reports on the topic "Planetary gears"

1

Parker, Robert G. Planetary Gear Dynamics in Military Helicopters. Fort Belvoir, VA: Defense Technical Information Center, May 2000. http://dx.doi.org/10.21236/ada378777.

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2

Parker, Robert. Analytical/Computational Investigation of Planetary Gear Dynamics in Rotorcraft Transmissions. Fort Belvoir, VA: Defense Technical Information Center, August 2008. http://dx.doi.org/10.21236/ada499395.

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