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Journal articles on the topic 'Planetary gears'

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

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

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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12

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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13

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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14

Wang, Haiwei, Tao Zhang, Geng Liu, and Liyan Wu. "System-Structure Coupling Dynamic Analysis of Planetary Gears." Mathematical Problems in Engineering 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/350616.

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This paper presents a novel general system-structure coupling dynamic analysis procedure to comprehensively analyze the dynamic performance of planetary gears. The novel coupling dynamic analysis takes dynamic loads of gears as excitations for structure dynamic analysis. Considering the time-varying mesh stiffness of gears, torsional stiffness of carrier and support stiffness of bearings, the system dynamic model of planetary gears is built by using lumped parameter method. Vibration modes and natural frequencies of planetary gears are investigated through modal analysis. Furthermore, system dynamic response is analyzed under various working conditions. Equations of structure dynamic analysis based on finite element method (FEM) are developed, and their solving method is put forward. Dynamic loads obtained from system dynamic analysis are forced on the ring gear to analyze its structure dynamic response. In every analysis step, if dynamic performance criteria are not satisfied, the planetary gears model should be redesigned according to dynamic analysis results.
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15

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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16

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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17

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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18

Lisowski, Filip, and Jan Ryś. "A Methodology of Designing the Teeth Conjugation in a Planetary Roller Screw." Archive of Mechanical Engineering 63, no. 4 (December 1, 2016): 589–603. http://dx.doi.org/10.1515/meceng-2016-0033.

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Abstract The paper presents the methodology for designing the teeth conjunction of planetary gears in the planetary roller screw mechanism. A function of the planetary gears is to synchronize an operation of rollers in order to avoid axial displacements. A condition of the correct operation is no axial movement of rollers in relation to the nut. The planetary gears are integral parts of rollers and therefore an operation of the gear transmissions has a direct impact on cooperation of the screw, rollers and the nut. The proper design of gear engagements is essential for reducing slippage on surfaces of the cooperating threaded elements. For this purpose, in a designing method, both the limitations of operation and kinematic conditions of rollers’ operation have to be taken into account.
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19

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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20

Xuejun, Li, Jiang Lingli, Hua Dengrong, Yin Daoxuan, and Yang Dalian. "An Analysis of the Gear Meshing Characteristics of the Main Planetary Gear Trains of Helicopters Undergoing Shafting Position Changes." International Journal of Aerospace Engineering 2021 (July 30, 2021): 1–12. http://dx.doi.org/10.1155/2021/9965818.

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The complex three-shaft three-reducer structural designs of helicopter transmission systems are prone to changes in the relative positions of shafting under the conditions of main rotor and tail rotor loads. These changes will affect the transmission characteristics of the entire transmission system. In this study, the planetary gear trains of helicopters were examined. Due to the fact that these structures are considered to be the most representative structures of the main reducers of helicopters, they were selected as the study objects for the purpose of examining the meshing characteristics of planetary gear trains when the relative positions of the shafting changed due to the position changes of the main rotor shafts under variable load conditions. It was found that by embedding the comprehensive time-varying meshing stiffness values of the main rotor shafts at different positions, a dynamic model of the relative position changes of the planetary gear trains could be established. Then, combined with the multibody dynamics software, the meshing characteristics of the sun gears, and the planetary gears, the planetary gears and the inner ring gears were simulated and analyzed under different inclinations and offsets of the shafting. The results obtained in this study revealed the following: (1) the average meshing force of the gears increased with the increases in the angle inclinations, and the meshing force between the sun gears and the planetary gears increased faster than the meshing force between the planetary gears and the inner ring gears. It was observed that during the changes in the shafting tilt positions, obvious side frequency signals had appeared around the peak of the meshing frequency in the spectrum. Then, with the continuous increases in the tilt position, the peak was gradually submerged; (2) the average meshing force of the gears increased with the increases in the offset, and the increasing trend of the meshing force between the sun gears and the planetary gears was similar to that observed between the planetary gears and the inner ring gears. It was found that when the shafting offset position changed, there were obvious first and second frequency doubling in the spectrum; (3) the mass center orbit radii of the sun gears increased with the increases in the shafting position changes, and the changes in the angular tilt position were found to have greater influencing effects on the mass center orbit radii of the sun gears than the changes in the offset positions. This study’s research findings will provide a theoretical basis for future operational status monitoring of the main transmission systems of helicopters and are of major significance for improvements in the operational stability of helicopter transmission systems, which will potentially ensure safe and efficient operations.
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21

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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22

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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23

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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24

Xu, Jin Li, Peng Wei, Feng Yun Huang, and Hong Jun Wang. "A Study on Effects of Gear Backlash on Differential Vibration." Advanced Materials Research 945-949 (June 2014): 730–34. http://dx.doi.org/10.4028/www.scientific.net/amr.945-949.730.

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Based on UG and Automatic Dynamic Analysis of Mechanical System (ADAMS), the 3D model of differential was constructed and the real-time dynamic simulation of differential was achieved. The effects of gear backlash between half axle gears and planetary gears on the vibration of differential are studied. To increase the credibility of simulation results , the contact forces between half axle gears and planetary gears were calculated based on the Hertz elasticity impact theory.
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25

Salamandra, Konstantin. "Static analysis and parameters synthesis of planetary-layshaft transmissions with three power flows." MATEC Web of Conferences 224 (2018): 02040. http://dx.doi.org/10.1051/matecconf/201822402040.

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The increase in the number of transmission ratios in the vehicles gearboxes leads to an increase in the number of mechanisms used and their complication. One way to obtain simple designs of multi-speed transmissions with smaller number of gears, clutches, brakes and synchronizers is to use combinations of planetary differential gears and gears with fixed axes (planetary-layshaft transmissions). The article presents a static analysis of a planetary-layshaft transmissions with three parallel power flows for obtaining the dependencies between the gear ratios of the internal mechanisms and the speed ratios of the transmission. A technique for determination the gear ratios of the internal mechanisms for providing a close to a given series of transmission ratios is described.
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26

Wang, Bin, Xian Xian Wang, and Ping Wang. "Analysis on Transmission Efficiency of Planetary Gear Reducer." Applied Mechanics and Materials 703 (December 2014): 413–16. http://dx.doi.org/10.4028/www.scientific.net/amm.703.413.

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A transmission efficiency calculation model of planetary geared reducer was proposed in this paper. The power losses of meshed surfaces of sun-planet gears and planet-ring gears were analyzed in detail. Finally, the mechanical power losses and transmission efficiency of the planetary gear reducer were simulated to illustrate the influence of rotational speed and torque on mechanical power loss and transmission efficiency.
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27

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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28

Golubkov, V. A., V. F. Shishlakov, A. G. Fedorenko, and E. Yu Vataeva. "CALCULATION OF FORCES FORCING VIBRATION IN A PLANETARY GEAR." Issues of radio electronics 1, no. 7 (July 11, 2019): 98–105. http://dx.doi.org/10.21778/2218-5453-2019-7-98-105.

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Most electromechanical devices contain planetary gears. Vibration is the result of the interaction of the teeth and is largely determined by the accuracy of the manufacture of their profile and the error of the step at the production stage, as well as the defects arising in the course of operation. The main elements influencing the vibration of the gears of the planetary gearbox are the deviation of the tooth profiles from the involute and the error in cutting the gear teeth. To reduce the dynamic loads in the contact areas and improve the reliability of gearing, these errors should be monitored and normalized in the allowable range. Based on the analysis of the elastic forces arising in the contact of the teeth, we obtain expressions for the contact stiffnesses and the forces forcing the vibration of the gears. Elastic forces are determined by identifying the deformations that occur at the contact of the gear and wheel teeth. The article describes an analytical description of the spectral composition of the forces that compel vibration, depending on the profile errors and the pitch of the gears of the planetary gear.
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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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30

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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31

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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32

Sabo, Ivan, Milan Kljain, Mirko Karakašić, and Željko Ivandić. "Design and calculation of planetary transmission with bevel gears." Tehnički glasnik 13, no. 2 (June 17, 2019): 154–61. http://dx.doi.org/10.31803/tg-20190503183526.

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In this paper, the design and calculation of planetary transmission with bevel gears for road vehicles is presented. It must transfer power to the wheels with the possibility that wheels can rotate at different speeds. The basic calculation of transmission is performed for the drive machine, where an internal combustion engine is chosen, and for the driven machine, which is a car, all forces of resistance are calculated so that the transmission needs to be overcome to move the car. Based on the standard ISO 23509:2016 norm, the calculation of geometry is performed for the input gear pair and it is defined as a hypoid gear pair. For the planetary transmission, a calculation of gear module for bevel gears is first performed, and after that, the geometry is calculated. The calculation of the stress for root stress and Hertz contact pressure is performed for all bevel gears in transmission.
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33

Plekhanov, F. I., and E. F. Vychuzhanina. "A Study of the Stress-Strain State of the Planetary Carrier Cheek." Proceedings of Higher Educational Institutions. Маchine Building, no. 8 (713) (August 2019): 3–9. http://dx.doi.org/10.18698/0536-1044-2019-8-3-9.

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Planetary gears are commonly used in drive technology due to their high load capacity and good weight and size parameters. Among planetary gears, multi-satellite structures with a minimum number of excessive links are most widely used. They have a close to uniform distribution of the load in the engaged gears, which has a positive effect on the strength and bearing capacity of the drive. Such designs include planetary gears, the satellites of which are mounted on spherical bearings, and one of the main links (most often the sun gear) is self-aligning. This provides a theoretically uniform distribution of the load in the engaged gears when the mechanism has three satellites. However, high-loaded drives often use designs with a large number of satellites where the load is distributed unevenly due to gear manufacturing errors. The deformability of individual transmission elements has a significant positive effect on the distribution of the load in the gears, thus compensating for the manufacturing errors. In view of this, the authors propose a multi-satellite planetary gear with a carrier made with grooves in the cheeks, which reduces their rigidity and provides, with a rational choice of the parameters of the mechanism, an increase in the mechanism’s bearing capacity. When determining the carrier cheek’s compliance, two schemes of loading in the coupling zone with the axis of the satellite (uniform and nonuniform) are considered. The solution is obtained using Mohr’s integrals. A numerical analysis of the stressed-strain state of the carrier cheek performed using the finite element method in the SolidWorks environment showed that the results of the analysis were close to the theoretical ones. They corresponded to a uniform load distribution in the coupling zone of the satellite axis and the carrier cheek. The obtained dependences can be used in the design of a mechanical drive to determine the coefficients of the uneven load distribution over the planetary gear satellites and over the individual crowns of the satellite.
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34

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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35

Prikhod’ko, A. A. "KINETOSTATIC ANALYSIS OF DOUBLE-SATELLITE PLANETARY MECHANISM WITH ELLIPTICAL GEARWHEELS." Spravochnik. Inzhenernyi zhurnal, no. 278 (May 2020): 33–39. http://dx.doi.org/10.14489/hb.2020.05.pp.033-039.

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Non-circular gears can be used in modern machines and mechanisms for the implementation of various types of output link movement and have high strength and compactness compared to linkage mechanisms. The article considers the problem of kinetostatic analysis of the planetary mechanism, which provides the rotationally reciprocating motion of the stirred tank impeller. Proposed mechanism is a two-satellite single-row planetary gear with two external gears, in which one pair of gears is elliptical gearwheels. There are constructed calculation schemes, kinetostatic balance equations are compiled and solved for each link of the mechanism. There are found reactions in kinematic pairs and a balancing moment on the input shaft of the mechanism, which are presented as functions of forces on the angle of rotation of the input link. The results can be used in the synthesis, analysis and design of various machines and mechanisms with the proposed kinematic scheme of planetary gear.
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36

Prikhod’ko, A. A. "KINETOSTATIC ANALYSIS OF DOUBLE-SATELLITE PLANETARY MECHANISM WITH ELLIPTICAL GEARWHEELS." Spravochnik. Inzhenernyi zhurnal, no. 278 (May 2020): 33–39. http://dx.doi.org/10.14489/hb.2020.05.pp.033-039.

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Non-circular gears can be used in modern machines and mechanisms for the implementation of various types of output link movement and have high strength and compactness compared to linkage mechanisms. The article considers the problem of kinetostatic analysis of the planetary mechanism, which provides the rotationally reciprocating motion of the stirred tank impeller. Proposed mechanism is a two-satellite single-row planetary gear with two external gears, in which one pair of gears is elliptical gearwheels. There are constructed calculation schemes, kinetostatic balance equations are compiled and solved for each link of the mechanism. There are found reactions in kinematic pairs and a balancing moment on the input shaft of the mechanism, which are presented as functions of forces on the angle of rotation of the input link. The results can be used in the synthesis, analysis and design of various machines and mechanisms with the proposed kinematic scheme of planetary gear.
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37

Tan, Xin, Yao Li, and Jun Jie Yang. "The Dynamics Analysis of a Multi-Stage Hybrid Planetary Gearing." Advanced Materials Research 538-541 (June 2012): 2631–35. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.2631.

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This paper introduces a complex multi-body dynamics model which is established to simulate the dynamic behaviors of a multi-stage hybrid planetary gearing based on the finite element method and the software ADAMS. The finite element method is used to introduce deformable ring-gears and sun-gears by using 3D brick units. A whole multi-body dynamics model is established in the software ADAMS. Mesh stiffness variation excitation and gear tooth contact loss are intrinsically considered. A rich spectrum of dynamic phenomena is shown in the multi-stage hybrid planetary gearing. The results show that the static strength of main parts of the gearing is strong enough and the main vibration and noises are excited by the dynamic mesh forces acting on the tooth of planet-gears and ring-gears.
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38

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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39

Hu, Qingchun, Xingbin Chen, Zhongyang Xu, Qianli Mai, and Chune Zhu. "Study on kinematic characteristics of planetary multistage face gears transmission." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 234, no. 2-3 (June 13, 2019): 572–85. http://dx.doi.org/10.1177/0954407019855908.

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A planetary gear transmission system with multistage face gears combinations as core component can easily realize the variable speed in differential transmission ratios with structural advantages. In order to improve the transmission stability and loading capacity, it is necessary to set up a reasonable kinematic model for multistage face gears pair. This study focuses on the kinematic characteristics of multistage face gears structure with double crown surface by the methods of numerical calculation and experimental verification. The transmission error and efficiency solving models are established by numerical calculation method to analyze the influences of each factor in detail. Then the correctness of the above numerical models are verified with transmission error and efficiency experiment. In addition, the numerical results are compared with the experimental results to further indicate the important influences of the multistage face gears components on the transmission error and efficiency of whole transmission system. The results can provide references for the dynamic and experimental study of multistage face gears in some degree.
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40

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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41

Hou, Lanlan, and Shuqian Cao. "Nonlinear Dynamic Analysis on Planetary Gears-Rotor System in Geared Turbofan Engines." International Journal of Bifurcation and Chaos 29, no. 06 (June 15, 2019): 1950076. http://dx.doi.org/10.1142/s0218127419500767.

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Rotor fatigue and gear noise triggered by nonlinear vibration are the key concerns in Geared Turbofan (GTF) engine which features a new configuration by introducing planetary gears into low-pressure compressor. A nonlinear analytical model of the GTF planetary gears-rotor system is developed, where the torsional effect of rotor and pivotal parameters from gears are incorporated. The nonlinear behavior of the model can be obtained by focusing on the relative torsional vibration responses between gear and rotor. The torsional nonlinear responses are illustrated with bifurcation diagrams, the largest Lyapunov exponents (LLE), Poincaré maps, phase diagrams and spectrum waterfall. Numerical results reveal that the gears-rotor system exhibits abundant torsional nonlinear behaviors, including multiperiodic, quasi-periodic, and chaotic motions. Furthermore, the roads to chaos via quasi-periodicity, period-doubling scenario, mutation and intermittence are demonstrated. The ring gear stiffness at a low value can propel the system into chaos. The damping may complicate the motion, i.e. the system may enter chaos with increasing damping. These results provide an understanding of undesirable torsional dynamic motion for the GTF engine rotor system and therefore serve as a useful reference for engineers in designing and controlling such system.
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42

Jinyuan, Tang, Liu Yang, and Cai Weixing. "The principles of selecting floating members of 2K-H planetary gears for load balancing design." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 9 (November 10, 2015): 1589–98. http://dx.doi.org/10.1177/0954406215616420.

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This paper studies the load balancing problems caused by manufacturing and assembly errors of 2K-H planetary gear train. Based on the geometric equivalent relationship and spring mechanical model of load transfer, the relations between the load balancing of planetary gears and the mesh clearance and meshing stiffness are derived. Besides, the vector method is also derived to calculate the meshing clearance which is a result of the deviation of the component center caused by manufacturing errors and assembly errors. On the basis of the meshing clearance calculation formulas, the balanced load structure based on floating members is analyzed, and the results show: 1) when the number of planet gears is [Formula: see text], the floating of the basic members can compensate for the errors of the planet wheels; 2) when the number of planet gears is [Formula: see text], the errors of the planet wheels cannot be compensated by floating the basic components, and the compensation can only be made through the floating of the planetary gear. In addition, a number of recommendations are proposed to improve the performance of the planetary gear train set.
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43

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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44

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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45

Kozhevnikova, A. A., and A. A. Shvedunenko. "ALTERNATIVE METHODS FOR MANUFACTURING A GEAR WHEEL OF A PLANETARY REDUCTOR WITH INTERNAL GEARING." IZVESTIA VOLGOGRAD STATE TECHNICAL UNIVERSITY, no. 1(248) (January 27, 2021): 19–23. http://dx.doi.org/10.35211/1990-5297-2021-1-248-19-23.

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The paper considers alternative methods of manufacturing gears using the example of manufacturing a gear of a planetary reductor. Modern progressive methods for the manufacture of gears, such as laser and electrical discharge machining, are analyzed, on the basis of the analysis, the advantages of these methods are highlighted in comparison with standard manufacturing methods. The advantages of the technological process of manufacturing a gear wheel by alternative methods are described.
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46

Petrescu, Relly Victoria Virgil, and Florian Ion Tiberiu Petrescu. "Structural-topological synthesis of space mechanisms with rods and wheels." Independent Journal of Management & Production 10, no. 5 (October 1, 2019): 1446. http://dx.doi.org/10.14807/ijmp.v10i5.902.

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Today, robots are increasingly present in the machine building industry, sometimes even in some sections to replace workers altogether, due to the high quality of their work, repetitive, without stopping or pausing, without any manufacturing and assembly scuffs. In this paper, one presents the mechanisms with bars and gears, which are planetary mechanisms for robot automation and mechatronics, structurally-topological. The gears and bars consist of at least one movable articulated bar and one of the cylindrical, tapered or hipoidal gears. Only gears with circular or straight toothed gears, in which the relative position of the rotation or translation axes does not change, shall be considered. The topological structure of the gears and gears is characterized by a kinematic chain with articulated bars and at least one kinematic chain with gears. The kinematic chain may be chain open (with a fixed rotation joint) or closed chain (with at least two fixed joints). The kinematic chain with gears is attached to the kinematic chain with bars so that at least two gear wheels have centers in the bars of the bars and some wheels may be integral with the bars. In practice, some of these gears with gears and gears are known as planetary gears with cylindrical, conical or hipoidal gears.
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47

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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48

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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49

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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50

Hsu, Cheng-Ho, and Yuh-Long Lin. "Automatic identification of redundant gears in planetary gear trains." Mathematical and Computer Modelling 20, no. 7 (October 1994): 99–109. http://dx.doi.org/10.1016/0895-7177(94)90073-6.

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