Journal articles: 'Planetary gear'

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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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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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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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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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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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Hsieh, Long Chang, and Tzu Hsia Chen. "On the Design of Planetary Gear Reducer with Simple Planet Gears." Applied Mechanics and Materials 284-287 (January 2013): 867–71. http://dx.doi.org/10.4028/www.scientific.net/amm.284-287.867.

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Planetary gear trains are commonly used in various transmissions due to the following reasons: compact size, light weight, and multi-degrees of freedom. For example, planetary gear trains can be designed for following functions: gear reducers for power machinery, internal gear hubs for bicycle, gear increasers for wind generator, gear reducers for robot. In general, the reduction of non-coupled planetary gear train is less than 10. The purpose of this paper is to introduce the planetary gear train with high reduction ratio. Coupled planetary gear train can be designed to has high reduction ratio. Hence, this paper focuses on innovative, kinematic, and engineering design of coupled planetary gear train with high reduction ratio. The coupled planetary gear train synthesized in this paper is a planetary gear train with simple planet gears. It can be used as the gear reducer for a robot. Refer to the train value equation, the reduction-ratio equation of coupled planetary gear train is derived for the design purpose. Then, the coupled planetary coupled gear train with simple planet gears is synthesized based on the above reduction-ratio equation. Finally, the corresponding engineering design drawing is accomplished.

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Park, Sung Hoon, Hyun Dai Yang, Jee Ho Kim, and Joong Ho Shin. "Design and Application of a Planetary Gearbox for Small Wind Turbines." Applied Mechanics and Materials 271-272 (December 2012): 818–22. http://dx.doi.org/10.4028/www.scientific.net/amm.271-272.818.

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A planetary gear train consists of a sun gear, planet gears, and a ring gear and these gears are arranged as a concentric circle type. The gearbox proposed in this study arranges the planetary gear type as a double planetary gear train in which the output of the primary gear train is used as an input to the secondary planetary gear for accelerating its speed. In this design, a method that directly connects the input and output sections is introduced to obtain a high acceleration ratio and its applicability is verified for applying it to a small wind turbine through designing and fabricating the planetary gearbox.

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Yang, Shyue-Cheng, and Tsang-Lang Liang. "A PLANETARY GEAR TRAIN WITH RING-INVOLUTE TOOTH." Transactions of the Canadian Society for Mechanical Engineering 32, no. 2 (June 2008): 251–66. http://dx.doi.org/10.1139/tcsme-2008-0016.

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This paper proposes a planetary gear train with ring-involute tooth profile. Inherent in a planetary gear train is the conjugate problem among the sun, the planet gears and the ring gear. The sun gear and the planet gear can be obtained by applying the envelope method to a one-parameter family of a conical tooth surface. The conical tooth rack cutter was presented in a previous paper [5]. The obtained planet gear then becomes the generating surface. The double envelope method can be used to obtain the envelope to the family of generating surfaces. Subsequently the profile of a ring gear of the planetary gear trains can be easily obtained, and using the generated planet gear and applying the gear theory, the ring gear is generated. To illustrate, the planetary gear train with a gear ratio of 24:10:7 is presented. Using rapid prototyping and manufacturing technology, a sun gear, four planet gears, and a ring gear are designed. The RP primitives provide an actual full-size physical model that can be analyzed and used for further development. Results from these mathematical models are applicable to the design of a planetary gear train.

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Kahraman, A. "Planetary Gear Train Dynamics." Journal of Mechanical Design 116, no. 3 (September 1, 1994): 713–20. http://dx.doi.org/10.1115/1.2919441.

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A model to simulate the dynamic behavior of a single-stage planetary gear train with helical gears is developed. The three-dimensional dynamic model includes all six rigid body motions of the gears and the carrier. The generic nature of the formulation allows the analysis of a planetary gear set with any number of planets. Planets can be arbitrarily spaced (equally or unequally) around the sun gear. The model is also capable of handling different planet meshing conditions which are functions of number of gear teeth and planet positions. The linear time-invariant equations of motion are solved to obtain the natural modes and the forced vibration response due to static transmission errors. The proposed model is employed to describe the effects of the planet mesh phasing conditions on the dynamic behavior of a four-planet system.

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Xiao, Zhengming, Jinxin Cao, and Yinxin Yu. "Mathematical Modeling and Dynamic Analysis of Planetary Gears System with Time-Varying Parameters." Mathematical Problems in Engineering 2020 (March 16, 2020): 1–9. http://dx.doi.org/10.1155/2020/3185624.

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Planetary gears are widely used in automobiles, helicopters, heavy machinery, etc., due to the high speed reductions in compact spaces; however, the gear fault and early damage induced by the vibration of planetary gears remains a key concern. The time-varying parameters have a vital influence on dynamic performance and reliability of the gearbox. An analytical model is proposed to investigate the effect of gear tooth crack on the gear mesh stiffness, and then the dynamical model of the planetary gears with time-varying parameters is established. The natural characteristics of the transmission system are calculated, and the dynamic responses of transmission components, as well as dynamic meshing force of each pair of gear are investigated based on varying internal excitations induced by time-varying parameters and tooth root crack. The effects of gear tooth root crack size on the planetary gear dynamics are simulated, and the mapping rules between damage degree and gear dynamics are revealed. In order to verify the theoretical model and simulation results, the planetary gear test rig was built by assembling faulty and healthy gear separately. The failure mechanism and dynamic characteristics of the planetary gears with tooth root crack are clarified by comparing the analytical results and experimental data.

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Bao, Pei De, Jun Xie, Xiao Qin Yin, Qi Zhi Yang, and Lu Zhong Ma. "Elastohydrodynamic Lubrication Design of Planetary Gear Transmission." Advanced Materials Research 228-229 (April 2011): 681–85. http://dx.doi.org/10.4028/www.scientific.net/amr.228-229.681.

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Based on elastic hydrodynamic lubrication (EHL) theory, an EHL model of the meshing between the sun gear and planet gear in planetary gear transmission was established. The EHL oil film thicknesses at meshing areas and those distributions for two operation cases were calculated: one case with the sun gear as the driving gear and another case with the ring gear as the driving gear. The Lubrication with second case was worse. Through the many comparing calculations the lubrication film thickness can be significantly increased by right parameter design. Reasonable raise of lubricant viscosity can get better gear lubrication. Increased gear pressure angle can greatly increase the oil film thickness. The increase of oil film thickness can improve the lubrication of gears and prevent wearing and reduce the production cost of gears, which have great practical value.

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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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Fathlevi, Adam, Rudi Suhradi Rachmat, and Azhari Sastranegara. "Analysis of Planetary Gear of Toyota Rush AT 2012." Journal of Mechanical Engineering and Mechatronics 5, no. 2 (October 12, 2020): 57. http://dx.doi.org/10.33021/jmem.v5i2.994.

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Gear is one of the most important part of power transmission system in a vehicle, and as the time goes by there possibly some failure happened on the gears. However, there is no information provided by car manufacturer regarding the life and the material of the gears. This report presents the analysis of the planetary gear used in Toyota Rush AT year made of 2012. The objectives of the research are: to study the planetary gear mechanism and how it works; to analyze the force and stress acting on the gears; and to select a suitable gear material that can withstand against the loads that happen on the gear. The research methodology is started with finding the gear dimension and gear ratio. The force acting on gear is calculated based on the torque and rotation speed provided in car specification. Then the selection material is carried out based on the amount of stress applied on the gear teeth that were calculated using AGMA standard formulation. Finally, the fatigue life prediction of the gears is calculated based on the previous stress acting on the gears. The calculation result suggested AISI 1050 steel as the selected gear material that can carry the bending stress of 476 MPa and categorized as low to high fatigue cycle.

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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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Wang, Ya Zhou, Bo Chen, Chi Bing Hu, Shuo Tao Zhang, Te Li, and Yong Ping Liu. "Design of Third-Order Non-Circular Planetary Gear." Advanced Materials Research 482-484 (February 2012): 305–8. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.305.

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The design of the third-order non-circular planetary gear is presented. In order to design the third-order non-circular planetary gear, the pitch of those gears is needed. Firstly theory and composition of the third-order non-circular planetary gear mechanism is introduced. Then according to the two conditions that the pitch should meet, the non-circular pitch formulas of the third-order non-circular planetary gear mechanism is given. Finally an application case of the center distance 3-4 type planetary gear mechanism was calculated by using the designed MATLAB program and created high-order elliptic curve. The design of the third-order non-circular planetary gear is achieved.

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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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Zeng, Qingliang, Shoubo Jiang, Lirong Wan, and Xueyi Li. "Finite element modeling and analysis of planetary gear transmission based on transient meshing properties." International Journal of Modeling, Simulation, and Scientific Computing 06, no. 03 (September 2015): 1550035. http://dx.doi.org/10.1142/s179396231550035x.

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Planetary gear trains are widely applied in various transmission units. Whether strengths of all gears are accurately calculated or not can affect reliability of the entire system significantly. Strength calculation method for planetary gear trains usually follows the method for cylindrical gears, in which the worst meshing positions for both contact stress and bending stress cannot be determined precisely, and calculation results tend to be conservative. To overcome these shortcomings, a kinematics analysis for a planetary gear train is firstly performed, in which the influence of relative speed is investigated. Then the finite element strength analysis of a planetary gear train based on its transient meshing properties is carried out in ANSYS. Time–history curves of contact and bending stresses of sun gear, planetary gears and ring gear are respectively obtained. Also the accurate moment and its corresponding position of the maximum stress are precisely determined. Finally, calculation results of finite element method (FEM) and traditional method are compared in order to verify the effectiveness. Simulation and comparison show the stability of the proposed method in this paper. Researches in this paper establish the foundations for fatigue analysis and optimization for a planetary gear train.

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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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Li, Fa Jia, Ru Peng Zhu, He Yun Bao, and Xiao Zhen Li. "A Model of Nonlinear Dynamic Modeling for Planetary Gear Transmission System with Backlash." Applied Mechanics and Materials 86 (August 2011): 510–13. http://dx.doi.org/10.4028/www.scientific.net/amm.86.510.

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The (4+N) DOFs (degrees of freedom) nonlinear dynamic model of the planetary gear transmission system has been established which include the horizontal displacement, vertical displacement of sun gear, eccentricity error excitation of the sun gear and planetary gear, and gear backlash. The nonlinear dynamic equations was dealt with non-dimensional. Non-dimensional relative displacement of sun gear with planet gears and planet gears with internal gear were solved by using the method of numerical integration. Load sharing coefficients of every planet gear was got by dealt with the result of dynamic equations. The differences of non-dimensional relative displacement and load sharing coefficient were contrasted.

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Wu, Yi-Chang, and Tze-Cheng Wu. "EMBODIMENT DESIGN OF NOVEL 5-SPEED REAR DRIVE HUBS FOR BICYCLES." Transactions of the Canadian Society for Mechanical Engineering 39, no. 3 (September 2015): 431–41. http://dx.doi.org/10.1139/tcsme-2015-0032.

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This paper presents embodiment design of 5-speed rear drive hubs for bicycles. A 7-link, 2-degrees of freedom (DOF) compound planetary gear train as the main body of a rear drive hub is introduced. The relationship between the number of coaxial links of a planetary gear train and the number of gear stages that a drive hub can provide with is discussed. By means of kinematic analysis, four speed ratios of the planetary gear train are derived, which represents four forward gears of the rear drive hub. By adding a direct-drive gear, five forward gears can be provided and two feasible clutching sequence tables are synthesized. Manual translational-type gear-shifting mechanisms are further designed to incorporate with the planetary gear train for appropriately controlling the gear stage. The power-flow path at each gear stage is checked to verify the feasibility of the proposed design. Finally, two novel 5-speed bicycle rear drive hubs are presented.

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Litvin, F. L., D. Vecchiato, A. Demenego, E. Karedes, B. Hansen, and R. Handschuh. "Design of One Stage Planetary Gear Train With Improved Conditions of Load Distribution and Reduced Transmission Errors." Journal of Mechanical Design 124, no. 4 (November 26, 2002): 745–52. http://dx.doi.org/10.1115/1.1515797.

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The authors propose an approach for the design of one-stage planetary gear train with reduced transmission errors, localized bearing contact and improved conditions of distribution of load between the planetary gears. The planetary gear train is considered as a multi-body mechanical system of rigid bodies. The proposed approach is based: (i) on modification of geometry of gear tooth surfaces, and (ii) minimization and equalization of the backlash between the contacting gear tooth surfaces. The modification of geometry is accomplished: (i) by double-crowning of planetary gears, and (ii) by application of screw involute surfaces of the same direction of screws for the sun and the ring gears. The proposed geometry enables: (i) predesign of parabolic function of transmission errors for reduction of noise and vibration, and (ii) a simple method of regulation and equalization of the backlash between the gear tooth.

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Wang, Haiwei, Cheng Ji, Fengxia Lu, Cheng Wang, and Xueyan Sun. "A Generalized Dynamic Model and Coupling Meshing Force Analysis for Planetary Gear Set Transmissions." Applied Sciences 12, no. 12 (June 20, 2022): 6279. http://dx.doi.org/10.3390/app12126279.

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The dynamics analysis of a planetary gear set transmissions requires the creation of completely different models for different gears, which is very tedious. In this paper, a generalized dynamics modeling process is proposed for a three planetary gear set transmissions, and a generalized dynamic model for multiple gears is established by using the lumped mass method. The analysis of meshing force characteristics is carried out for the second gear position, and the meshing frequency coupling phenomenon between the meshing forces of the three planetary gear sets is investigated. The results show that, for the current gear set of meshing force, the meshing frequency components of other gear sets only appear in a part of the speed, and with the increase in speed, certain low-frequency components of other sets that exist at low speed will decrease or even disappear, and the coupling relationship between the meshing forces of different planetary gear sets is not symmetrical.

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Yin, Bao Lin, Xian Zhi Li, Yong Bo Chen, Xiao Yun Guo, and Yi Liang. "Research on Kinematics for Planetary Bevel-Gear Trains." Advanced Materials Research 479-481 (February 2012): 913–16. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.913.

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A kinematics model of planetary bevel-gear trains, which included two sun gears, four planet gears and two carriers, was established. With analyzing of the gear trains, non-oriented graph representation of the mechanism was developed. Then, the kinematic structure of the gear trains was represented. With coordinate conversion, the successive transformation matrices were derived. And then, the oriented graph representation of gear pair was obtained by analyzing rotation vectors. Lastly, the inverse kinematics equation was obtained. To given the orientation of the moving platform variables, the equations have the identify solutions.

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Ding, Hong. "Application of Non-Circular Planetary Gear Mechanism in the Gear Pump." Advanced Materials Research 591-593 (November 2012): 2139–42. http://dx.doi.org/10.4028/www.scientific.net/amr.591-593.2139.

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Gear pump is the most commonly used hydraulic component in hydraulic drive system.Volumetric efficiency of the traditional gear pump is low, big flow ripple causes large pressure fluctuations, makes pipes and valves vibration, noisy. The imbalance pressure on gear pump’s gears, shafts and bearings and the large radial load limits its pressure increased. Planetary gear transmission compared with ordinary gear transmission, it has many unique advantages. So the writer on the basis of the combination of proposed non-circular planetary gear pumps and gear pump works discussed the structure and working principle of the pump. The non-circular planetary gear pump with many advantages such as big flow, uniform flow, low noise and so on. It can be widely used in various hydraulic transmission systems.

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Huang, Qi Lin, Yong Wang, Zhi Pu Huo, Jun Gang Wang, and Ruo Yu Sheng. "Free Torsional Vibration Characteristics of a Closed-Form Planetary Gear Set." Applied Mechanics and Materials 300-301 (February 2013): 1042–47. http://dx.doi.org/10.4028/www.scientific.net/amm.300-301.1042.

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A purely torsional dynamic model of closed-form planetary gear set is developed to investigate its natural frequency and free vibration modes. The closed-form planetary gear set considered consists of two-stage planetary gear connected by high-speed carrier and ring gear. Three identical planet gears are equally spaced in each stage. Based on the precondition, the natural modes are classified into three types of vibration modes: overall modes，high-speed planet mode and low-speed planet mode

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Singh, Avinash. "Influence of Planetary Needle Bearings on the Performance of Single and Double Pinion Planetary Systems." Journal of Mechanical Design 129, no. 1 (March 20, 2006): 85–94. http://dx.doi.org/10.1115/1.2359472.

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Planetary gears are widely used in automotive and aerospace applications. Due to demands for greater power density, these gearsets often operate at extremely high stress levels. This has caused system level influences once considered secondary to become critical to the success of planetary gears. One such system level effect that has been largely overlooked is the influence of support structures like planetary needle bearings. There are interactions between the gear distributed loads and the resulting bearing loads and deflections that have implications for both gear and bearing designs. Also, double pinion planetary arrangements are increasingly becoming common. There are still greater interactions between the gear and bearing components in double pinion planetary arrangements. In this paper, we will examine the influence of the bearing deflections (tilt) on the gear load distribution and contact pattern. We will also show the influence of distributed gear loads on the bearing loads (moments) and deflections (tilts). Both, single and double pinion planetary arrangements will be considered. It will be shown that the tilting stiffnesses of the needle bearings have a major influence on gear contact pattern and consequently on contact and bending stresses. It will also be shown that the double pinion planetary arrangement is more likely to result in off-centered loading. Parametric studies will be performed to show the influence of a few design parameters. Theoretical derivations will be validated by numerical simulations. A system level gear analysis model will be used to illustrate the issues involved and quantify the results.

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Qian, Bo, and Shi Jing Wu. "The Research on Natural Characteristic and Eigensensitivity of Ravingneaux Compound Planetary Gear Sets." Applied Mechanics and Materials 446-447 (November 2013): 590–96. http://dx.doi.org/10.4028/www.scientific.net/amm.446-447.590.

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The dynamic model of Ravingneaux compound planetary gear sets has been built. Then the Natural frequency and vibration model have been solved in the Ravingneaux compound planetary gear sets. The eigensensitivity to parameters have been researched based on the dynamical model. The varying trend of natural frequency according to the varying of parameters have been researched, which include gear mass (sun gear, ring gear , or planet gear), the moment of inertia of gears, the support stiffness , the torsional stiffness.

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Budzik, Grzegorz, Tadeusz Markowski, Michał Batsch, Jadwiga Pisula, Jacek Pacana, and Bogdan Kozik. "Stress Assessment of Gear Teeth in Epicyclic Gear Train for Radial Sedimentation Tank." Acta Mechanica et Automatica 14, no. 3 (September 1, 2020): 121–27. http://dx.doi.org/10.2478/ama-2020-0018.

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Abstract The paper presents the strength evaluation of planetary gear teeth designed for a radial sedimentation tank drive. A novel type of gear drive, composed of a closed epicyclic gear train and an open gear train with internal cycloidal gear mesh is proposed. Contact stress and root stress in the planetary gear train were determined by the finite element method and according to ISO 6336. The influence of the mesh load factor at planet gears on stress values was also established. A comparison of the results followed. It was observed that the mesh load factor on satellites depends mainly on the way the satellites and central wheels are mounted, the positioning accuracy in the carrier and the accuracy of teeth. Subsequently, a material was selected for the particular design of planetary gear and the assumed load. The analysis of the obtained results allowed assuming that in case of gears in class 7 and the rigid mounting of satellites and central wheels, gears should be made of steel for carburizing and hardening. In case of flexible satellites or flexible couplings in the central wheels and gears in class 4, gears can be made of nitriding steel.

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Yu, Pei Lin, and Wang Yong. "Improved Genetic Optimization of Electric Motorcycle Planetary Transmission." Applied Mechanics and Materials 246-247 (December 2012): 164–68. http://dx.doi.org/10.4028/www.scientific.net/amm.246-247.164.

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Determination of dedendum circle diameter of ring gear in planetary gear drives is an important issue in preliminary design of electric motorcycle transmission. Genetic optimization is used to automate preliminary design of gears by minimizing volume of gear trains. An improved genetic optimization method was applied to a planetary gear transmission of electric motorcycle. Gray code way was applied in variable binary strings for improve research efficiency. Dynamic penalty functions were introduced to the objective function for handing the design constraints. The results were compared with a enumeration method usually applied. Improved GA produced quite well results promptly supplying design parameters of a planetary gear transmission.

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Sun, Liang, Zhenfei Wang, Chuanyu Wu, and Guofeng Zhang. "Novel approach for planetary gear train dimensional synthesis through kinematic mapping." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 1 (February 26, 2019): 273–88. http://dx.doi.org/10.1177/0954406219832912.

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The synthesis of a kinematic trajectory traversed by an output link (planet gear) and posture of a planetary gear train with noncircular gears can be divided into two phases: dimensional synthesis of the open-chain 2R mechanism (planetary carrier) and optimization of the transmission ratio of noncircular gear pairs. According to kinematic mapping theory, more than one closed coupler trajectory can be obtained by five preset poses. Simultaneous consideration of the trajectory shape, posture, and gear ratio is difficult during planetary gear train synthesis. This work therefore proposes a new method for the synthesis of planetary gear train in which different path segments in different trajectories are selected and a group of same-type 2R mechanisms is employed to pass through them in order to rebuild a new, closed trajectory. Subsequently, the transmission ratio of noncircular gear pairs can be determined using the relative angular displacement of the 2R mechanism. To improve the roundness of the pitch curves of noncircular gears, two optimization steps are implemented using a genetic algorithm without alternating the data points of the requisite open trajectories. For example, a mechanism for rice pot seedling transplanting is obtained by using the method.

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Luan, Zhen Hui, and Ming Ding. "Research on Non-Circular Planetary Gear Pump." Advanced Materials Research 339 (September 2011): 140–43. http://dx.doi.org/10.4028/www.scientific.net/amr.339.140.

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On the basis of research on the theory of non-circular gear transmission and the working principle of gear pump, this paper puts forward the construction principle of a non-circular planetary gear pump. The discussions focus on the construction, working principle, structure types and the pitch-curve of the non-circular gears. The study indicates that the non-circular planetary gear pump has big discharge, good flow characteristics and low noise, and it can be widely used in hydraulic system.

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Hsieh, Long Chang, and Hsiu Chen Tang. "The Meshing Efficiency Analysis of Coupled Planetary Gear Reducer." Applied Mechanics and Materials 479-480 (December 2013): 309–13. http://dx.doi.org/10.4028/www.scientific.net/amm.479-480.309.

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This paper focus on the meshing efficiency of 2K-2H type planetary gear reducer. First, according to the concept of train value equation, the kinematic design of 2K-2H type planetary gear reducers is carried out. Then, based on the latent power theorem, the meshing efficiency equation of 2K-2H type planetary gear reducer is derived. According to the meshing efficiency equation, the meshing efficiency of 2K-2H type planetary gear reducer can be analyzed. The 2K-2H type planetary gear reducer has the following characteristics: 1. There is a problem of power circulation, 2.Larger reduction ratio makes less meshing efficiency, 3.For the same reduction ratio, larger value |ξ42| (|ξα|) will get better meshing efficiency, and 4.The better quality of gears (manufactured by grinding) will produce much better meshing efficiency.

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Kahraman, A., H. Ligata, K. Kienzle, and D. M. Zini. "A Kinematics and Power Flow Analysis Methodology for Automatic Transmission Planetary Gear Trains." Journal of Mechanical Design 126, no. 6 (November 1, 2004): 1071–81. http://dx.doi.org/10.1115/1.1814388.

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A generalized formulation for analyzing speeds and forces of the gear components of planetary automatic transmissions is proposed. The formulation is capable of analyzing any typical one-degree-of-freedom automatic transmission gear train containing any number of simple, compound or complex-compound planetary gear sets. The formulation consists of three components: a kinematic analysis formulation to compute rotational speeds of gears and carriers, a gear ratio and kinematic configuration search algorithm, and a power flow analysis formulation. The kinematics component computes rotational speeds of gears and carriers. Given the type and number of planetary gear sets, the search algorithm determines all possible kinematic configurations and gear tooth count combinations that result in a required set of gear ratios while eliminating all kinematic redundancies and unfavorable clutching sequences. The third component, the power-flow analysis formulation, performs a complete static force (power-flow) analysis to determine all gear and bearing forces and moments, and clutch and connection torque values. A five-speed transmission example is considered to highlight the capabilities of the proposed formulation.

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Liu, Geng, Shan Chang, Li Yan Wu, and Ying Sheng Li. "Analysis System of Marine Planetary Gear Trains." Applied Mechanics and Materials 86 (August 2011): 55–58. http://dx.doi.org/10.4028/www.scientific.net/amm.86.55.

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Planetary gear train (PGT) with herringbone gears is one of typical transmission styles used in marine power transmission. How to effectively design a PGT with lighter structures and lower vibration and noise is a fatal task for heavily loaded marine gearing. An analysis system which was developed in the past decades is introduced in this paper to simulate the performance of planetary herringbone gear trains. The effects of main crucial parameters on the static and dynamic characteristics of planetary herringbone gear trains are studied by using the analysis system. The results are discussed and show that the presented system is effective and can be used in design of planetary herringbone gear trains.

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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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Butunoi, Paul Alin, Gheorghe Stan, and Catalina Ciofu. "Research Regarding Improvement of Dynamic Behaviour for High-Ratio Planetary Gears." Applied Mechanics and Materials 657 (October 2014): 549–53. http://dx.doi.org/10.4028/www.scientific.net/amm.657.549.

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High-ratio planetary gears are frequently used in robot arm articulations for the purpose of transmitting motion from the electric motors to the moving elements. Actual planetary gears used in industrial robots have a relatively large weight related to the gear ratio, which leads to a high inertia of the moving elements.Throughout this paper, a novel computation method of the dynamic momentum is presented as well as constructive methods used to improve the dynamic behaviour of the planetary gear. The optimization method regarding the dynamic behaviour is based on the reduction of all moving masses towards the motor shaft but also on new construction strategies for planetary gears that help minimizing the gyration momentum. This method has been applied for a three-stage planetary gear having a gear ratio of 175,61:1 in order to optimize the shape of the carriers that are attached to the output shafts, according to its kinematic diagram. The results obtained will be presented comparatively and in a graphical form, thus serving as a practical guide addressed to the designers or manufacturers of industrial robots.

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Ambarisha, Vijaya Kumar, and Robert G. Parker. "Suppression of Planet Mode Response in Planetary Gear Dynamics Through Mesh Phasing." Journal of Vibration and Acoustics 128, no. 2 (February 10, 2005): 133–42. http://dx.doi.org/10.1115/1.2171712.

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This work analytically derives design rules to suppress certain harmonics of planet mode response in planetary gear dynamics through mesh phasing. Planet modes are one of three categories of planetary gear vibration modes. In these modes, only the plantes deflect while the carrier, ring, and sun gears have no motion (Lin, J., and Parker, R. G., 1999, ASME J. Vib. Acoust., 121, pp. 316–321;J. Sound Vib, 233(5), pp. 921–928). The dynamic mesh forces are not explicitly modeled for this study; instead, the symmetry of planetary gear systems and gear tooth mesh periodicity are sufficient to establish rules to suppress planet modes. Thus, the conclusions are independent of the mesh modeling details. Planetary gear systems with equally spaced planets and with diametrically opposed planet pairs are examined. Suppression of degenerate mode response in purely rotational degree-of-freedom models achieved in the limit of infinite bearing stiffness is also investigated. The mesh phasing conclusions are verified by dynamic simulations of various planetary gears using a lumped-parameter analytical model and by comparisons to others’ research.

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Sun, Liang, Yuzhu Zhou, Hengmin Huang, Chuanyu Wu, and Guofeng Zhang. "Analysis and Design of a Spatial Planetary Noncircular Gear Train for Rice Seedling Transplanting Based on Three Given Positions." Transactions of the ASABE 63, no. 1 (2020): 165–76. http://dx.doi.org/10.13031/trans.13498.

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HighlightsA method for solving a spatial transplanting mechanism with noncircular gears is proposed.A new mechanism for transplanting rice pot seedlings is proposed.A trajectory with a small lateral displacement at the preparation phase is obtained.The working performance is validated by simulations and field tests.Abstract. This study proposes a method of solving the parameters of a spatial planetary gear train with noncircular gears to meet the requirements of wide-narrow row pot seedling transplanting (WPST). First, the planetary gear train was simplified to a spatial open-chain 2R mechanism (planetary carrier). A kinematic model of the 2R mechanism was derived from the three given homogeneous matrices describing the spatial position and attitude information of grasping, extracting, and planting seedlings. Second, the length of each link, attitude of each rotation axis, and relative initial angles were calculated. The model for solving the transmission ratio was deduced. A spatial planetary gear train configuration with a single planet carrier and two-stage driving was derived, in which the middle axis could be determined by combining the selected configuration, represented trajectory, and transmission ratio of each gear pair. Finally, a planetary gear train combining a noncircular gear pair and a helical gear pair was used in the WPST mechanism design. Simulations and tests conducted on a prototype confirmed the correctness of the theoretical model and the practicality of the design. Keywords: Noncircular gear, Planetary gear train, Spatial trajectory, Transmission ratio, Transplanting mechanism.

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Tsai, Chun-Fang, Tsang-Lang Liang, and Shyue-Cheng Yang. "USING DOUBLE ENVELOPE METHOD ON A PLANETARY GEAR MECHANISM WITH DOUBLE CIRCULAR-ARC TOOTH." Transactions of the Canadian Society for Mechanical Engineering 32, no. 2 (June 2008): 267–82. http://dx.doi.org/10.1139/tcsme-2008-0017.

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A geometric model and mathematical model of planetary gear mechanism with double circular-arc teeth is determined using the imaginary rack cutters and double envelope concept. The mathematical model of a ring gear with double circular-arc teeth in a second envelope has been developed. In this paper, the conditions of the gear meshing and contact load of the gears are simulated by assembly errors. The goal of the stress analysis is to determine the contact stress on the planet gear and ring gear, and planet gear and sun gear. Given the assembly errors of the planetary gear mechanism including center distance error and mis-aligmment error, the maximum von-Mises stress in the planetary gear mechanism with double circular-arc teeth is analyzed using visualNastran desktop package. It is found that the center distance error is more critical to mis-alignment error.

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Lin, Chao, Xiguang Xia, and Peilu Li. "Geometric design and kinematics analysis of coplanar double internal meshing non-circular planetary gear train." Advances in Mechanical Engineering 10, no. 12 (December 2018): 168781401881891. http://dx.doi.org/10.1177/1687814018818910.

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A new type of non-circular planetary gear train is proposed, in which the planetary gear is internally meshed with the sun gear and the ring gear at the same time. The structural form and transmission principle are analyzed, and the design method of non-circular gear pitch curves and related parameters of the gear train are discussed. The input–output relationship under various working conditions of the gear train is deduced. The precise tooth profile of the non-circular gears is obtained by the Boolean operation of MATLAB, then the virtual prototype model of the planetary gear train is established, and the kinematics simulation is carried out in the ADAMS software. The simulation results verify the correctness of the transmission principle and the theoretical analysis of the motion law.

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Yuan, Yongliang. "Dynamic Analysis of Planetary Gear Train Based on ADAMS." MATEC Web of Conferences 175 (2018): 03051. http://dx.doi.org/10.1051/matecconf/201817503051.

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Automatic pin machine is a kind of typical equipment widely used in mechanical and electronic industry, which is mainly used for automatic assembly of pinhole parts. In order to improve the efficiency and stability of the transmission system, the dynamic performance of planetary gears is studied. This paper uses UG to establish the dynamic model of planetary gears. Dynamic simulation and its motion law are obtained using Adams. The contact force between the planet gear and the center gear fluctuates around 5000N, and increases with the load. The results show that Adams can provide an effective prediction of the dynamic characteristics of planetary gear trains, and have a certain reference value for future structural improvements.

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NAGASAKI, Yoichi, Makoto FUJII, and Hiroyuki OONISI. "Reduction Gears with Inclined Planetary Gear and Arc Tooth Bevel Gear." Transactions of the Japan Society of Mechanical Engineers Series C 72, no. 723 (2006): 3454–60. http://dx.doi.org/10.1299/kikaic.72.3454.

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Lee, Bumjoo, Donghan Kim, and Young-Dae Hong. "Differential planetary mechanism of reduction gear for robotic applications." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 5 (February 5, 2017): 799–803. http://dx.doi.org/10.1177/0954406217691071.

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This study proposes a novel planetary gear mechanism composed of normal spur gears. Similar to a harmonic drive system, one pair of gears generates differential angular motion to achieve a high reduction gear ratio. While a harmonic drive system utilizes slightly different number of gear teeth between the flex spline and the circular spline to induce differential motion, a planetary gear mechanism with different gear modules is adopted for this purpose in the proposed system. Since the manufacture of special components like the wave generator and flex spline in harmonic drive system is not required here, the machinability and usability are improved. In addition, the mechanism can be achieved with a flat shape, which is crucial for various applications such as robotic systems. After the basic concept and three-dimensional design are introduced, the prototype system is presented.

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Morimoto, Yuta, Toshiki Hirogaki, Eiichi Aoyama, and Yasuhiro Uenishi. "Precise and High Response Measuring Method of Meshing Force of Planetary Gear Mechanism." Key Engineering Materials 516 (June 2012): 469–74. http://dx.doi.org/10.4028/www.scientific.net/kem.516.469.

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Recently, technology for electric vehicles (EV) and hybrid vehicles (HEV) has been focused on by the automotive industry to address environmental problems including CO2 reduction [. In particular, in HEV, planetary gears are used to control differential rotation of the motor, engine and generator. For these vehicles, the noise level inside the vehicle is low because the motor is used as the main power source. As a result, further decrease of gear noise is desired compared with the conventional planetary gear mechanism. However, research into the gear noise of the planetary gear mechanism is extremely scarce. Therefore, in this study, we focus on the three axes of I/O rotation, and a new method of measuring the meshing force of the planetary gear mechanism. In this report, a gear-driving device, which is able to make 3-axis differential rotation, was designed for experimentation.

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Li, Feng, Xinyu Pang, and Zhaojian Yang. "Joint Amplitude and Frequency Demodulation Analysis Based on Variational Mode Decomposition for Multifault Diagnosis of a Multistage Reducer." Shock and Vibration 2018 (October 9, 2018): 1–19. http://dx.doi.org/10.1155/2018/9869561.

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Multistage reducer vibration signals have complicated spectral structures owing to the amplitude and frequency modulations of gear damage-induced vibrations and the multiplicative amplitude modulation effect caused by time-varying vibration transfer paths (in the case of local gear damage) when the multistage reducer contains both planetary and spur gears. Moreover, the difference between the vibration energies of these gears increases the difficulty of fault feature extraction when multiple failures occur in the reducer. As the meshing frequency of each gear group often varies significantly, variational mode decomposition can be performed to decompose the vibration signal according to frequency, enabling separation of the vibration signals of the spur and planetary gears. The common fault features of these gears can be extracted from the spectrum of the amplitude demodulation envelope. To verify the effectiveness of this method, we first analyzed a simulation signal, and then utilized the experimental signals from a laboratory multistage reducer for verification. In the multistage reducer simulation, we considered the amplitude and frequency modulation of the gear damage and transfer paths. In the experimental verification, we processed local faults (broken teeth) and uniform faults (uniform wear) on the sun gear and the spur gear of the planetary gear separately.

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Ge, Zheng, and Weirui Wang. "Modeling, Testing, and Characteristic Analysis of a Planetary Flywheel Inerter." Shock and Vibration 2018 (2018): 1–12. http://dx.doi.org/10.1155/2018/2631539.

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We propose the planetary flywheel inerter, which is a new type of ball screw inerter. A planetary flywheel consists of several planetary gears mounted on a flywheel bracket. When the flywheel bracket is driven by a screw and rotating, each planetary gear meshing with an outer ring gear generates a compound motion composed of revolution and rotation. Theoretical analysis shows that the output force of the planetary flywheel inerter is proportional to the relative acceleration of one terminal of the inerter to the other. Optimizing the gear ratio of the planetary gears to the ring gear allows the planetary flywheel to be lighter than its traditional counterpart, without any loss on the inertance. According to the structure of the planetary flywheel inerter, nonlinear factors of the inerter are analyzed, and a nonlinear dynamical model of the inerter is established. Then the parameters in the model are identified and the accuracy of the model is validated by experiment. Theoretical analysis and experimental data show that the dynamical characteristics of a planetary flywheel inerter and those of a traditional flywheel inerter are basically the same. It is concluded that a planetary flywheel can completely replace a traditional flywheel, making the inerter lighter.

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Savage, M., K. L. Rubadeux, and H. H. Coe. "Effects of Planetary Speed-Reduction Ratio on Mean Service Life." Journal of Mechanical Design 120, no. 1 (March 1, 1998): 113–18. http://dx.doi.org/10.1115/1.2826662.

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Planetary-gear transmissions are compact speed reductions which use parallel-load paths to transmit high power. The range of possible reduction ratios is bounded from below and above by limits on the relative size of the planet gears. For a single-plane planetary transmission, the speed-reduction ratio must be greater than two for planet gears to exist. As the ratio increases, so does the size of the planets relative to the sizes of the sun and ring. Which ratio is best for a planetary reduction can be resolved by studying a series of optimal designs. In this series, each design is obtained by maximizing the service life for a spur-gear planetary with a fixed size, speed-reduction ratio, input speed, power and materials. The planetary-gear reduction service life is modeled as a function of the two-parameter Weibull distributed service lives of the ball bearings and spur gears in the reduction. Planet-bearing life strongly influences the optimal reduction lives which point to an optimal planetary reduction ratio in the neighborhood of four to five.

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Kahraman, Ahmet, and Sandeep Vijayakar. "Effect of Internal Gear Flexibility on the Quasi-Static Behavior of a Planetary Gear Set." Journal of Mechanical Design 123, no. 3 (May 1, 2000): 408–15. http://dx.doi.org/10.1115/1.1371477.

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Effect of flexibility of an internal gear on the quasi-static behavior of a planetary gear set is investigated. A state-of-the-art finite elements/semi-analytical nonlinear contact mechanics formulation is employed to model a typical automotive automatic transmission planetary unit. The model considers each gear as deformable bodies and meshes them to predict loads, stresses and deformations of the gears. Actual support and spline conditions are included in the model. The rim thickness of the internal gear is varied relative to the tooth height and gear deflections and bending stresses are quantified as a function of rim thickness. Influence of rim thickness on the load sharing amongst the planets is also investigated with and without floating sun gear condition. The results are discussed in detail and guidelines regarding the design of a planetary internal gear are presented.

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Wang, Chin Yu. "Design of Planetary Gear Reducer with Double Circular-Arc Helical Gear." Applied Mechanics and Materials 152-154 (January 2012): 1595–600. http://dx.doi.org/10.4028/www.scientific.net/amm.152-154.1595.

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The two gears of the double circular-arc helical gear is a mesh of a concave/convex combination. Because the curvature is close to each other, the strength also increased and thus, it is often used in heavily-loaded workplaces. The national standard for double circular-arc helical gear (ex., GB12759-91) is based on the size of the gear module to design its tooth profile. This shows that tooth geometric-related designs are quite complicated. If the effect of the different pressure angle parameter is considered, we would be unable to conduct relevant studies for the original standard formula with a double circular-arc helical gear set at a pressure angle of 24°. Firstly, this paper would redefine a new double circular-arc helical gear according to the discontinuousness tooth profile molded line of the double circular-arc helical gear and unchangeable pressure angle and explain the improvements in the design and stress analysis of the tooth especially since the double circular-arc helical gear has no limitation in the minimum number of teeth. Thus, the decrease in the driving gears’ number of module and can further increase the reduction gear ratio. For heavily-loaded planetary gear reducer, it’s quite obvious in the miniaturizing and high torque superiority. This paper also used certain winch’s speed reducer as example to explain that the change of the pressure angle can reduce contact stress by 3%~40% and also enhances the torque ability by 3%~40%.

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Wang, Cheng. "The effect of planetary gear/star gear on the transmission efficiency of closed differential double helical gear train." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 21 (May 15, 2020): 4215–23. http://dx.doi.org/10.1177/0954406220921205.

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The research of transmission efficiency is of great significance for reducing energy consumption and improving the performance of the device. Researchers have done a lot of work on the calculation of transmission efficiency. However, in the present research work, the quantity of planetary gear/star gear is usually not considered and only a planetary gear/star gear is adopted in the gear transmission efficiency. In practice, in order to increase the stiffness and load capacity of gear train, a plurality of planetary gear/star gears is adopted. The closed differential double helical gear train has been widely used in many fields, such as the main reducer of aircraft engine, lifting mechanism, and the power transmission system of marine ships. Therefore, in this paper, the closed differential double helical gear train is taken as the research object and the effect of planetary gear/star gear on the transmission efficiency is analyzed. Firstly, according to the structure of closed differential double helical gear train, related kinematic analysis is given. Secondly, a graph representation is used to characterize the closed differential double helical gear train. According to the theory of virtual power, the power flow direction of closed differential double helical gear train is determined and the value of split power is obtained. According to the input and output values described in graph representation of closed differential double helical gear train, the formula of transmission efficiency is derived and the effects of planetary gear/star gear on transmission efficiency are analyzed. Finally, an illustrative example shows that compared with the theoretical value, the difference considering the effect of planetary gear/star gear on the transmission efficiency of closed differential double helical gear train is two percentage points.

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Journal articles on the topic 'Planetary gear'

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