Relevant bibliographies by topics / Planetary gear systems

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Planetary gear systems'

Author: Grafiati
Published: 11 December 2022
Last updated: 25 January 2023

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Journal articles on the topic "Planetary gear systems"

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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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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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Chang, Le Hao, Geng Liu, Li Yan Wu, and Zhong Hong Bu. "Research on Vibration Influence Chart of Planetary Gear Systems." Applied Mechanics and Materials 86 (August 2011): 747–51. http://dx.doi.org/10.4028/www.scientific.net/amm.86.747.

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The common definition of vibration influence chart is proposed in this study. A 46 degree-of-freedom time-varying dynamic model with coupled translation-rotation effect is developed to simulate the vibration of an encased differential planetary gear system using lumped mass method. With the dynamic load and the acceleration on gears and bearings as references, the dynamic responses in different load cases are investigated to search the change law of concerned parameters. The parameters considered include mesh stiffness, structure stiffness, gear mass and moment of inertia. The good and poor regions for vibration are evidently presented in figures, which is convenient to conduct the parameters design of planetary gear systems.
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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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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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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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Drewniak, Józef, and Stanisław Zawiślak. "Synthesis of Planetary Gears by Means of Artificial Intelligence Approach ‒ Graph-Theoretical Modeling." Solid State Phenomena 164 (June 2010): 243–48. http://dx.doi.org/10.4028/www.scientific.net/ssp.164.243.

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Graph-based modeling of planetary gears was applied in the presented research work for their synthesis. The tailored Hsu and contour graphs were used. Graphs encode the structure (layout) of a planetary gear and upon them - the systems of equations can be generated. These systems enable determination of rotational velocities of planetary gear elements. The method is algorithmic and simple. It allows for an easy comparison of different design solutions and selection of the most appropriate one. The list of the possible modes of operation for an exemplary planetary gear is also provided in the paper.
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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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Li, Jian Ying, Qing Chun Hu, and Fu Hai Duan. "Vibration Characteristics for Planetary Geared Systems with Plastic Gears." Applied Mechanics and Materials 713-715 (January 2015): 77–84. http://dx.doi.org/10.4028/www.scientific.net/amm.713-715.77.

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A torsional dynamic model and testing model for planetary geared systems are established to study the effects on its vibration characteristics as substituting plastic gears for steel ones successively. The dynamic model is solved by using variable step Runge-Kutta method and the vibration testing experiments for four kinds of combined planetary geared systems are carried out under different rotation speed and load torque. The numerical and experimental results show that the high frequency spectra are suppressed effectively as substituting plastic gears for steel ones. The gear mesh dynamic load and vibration intensity caused by the meshing fundamental frequency and side-frequency reduce markedly when the plastic ring and planet gear substitute for steel ones together. The numerical simulations have a better consistency with the experimental results, which verifies the correctness of the conclusions.
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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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Dissertations / Theses on the topic "Planetary gear systems"

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Wang, Zhongwei. "Dynamic modelling of planetary gear systems for gear tooth fault." Thesis, Curtin University, 2010. http://hdl.handle.net/20.500.11937/1284.

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Geared systems have been widely used in mechanical applications for more than a hundred years. A large range of literature has been published especially for spur/helical gear systems and the investigations into technical areas of spur/helical gears have been very well developed, including understanding of condition monitoring systems, diagnostic and prognostic methods. However, there is a lack of understanding on the general dynamic behavior of planetary gear systems with tooth faults. Planetary gears are normally used as effective power transmission elements with high power to weight/volume ratios, large speed reductions in compact volume, and high reliability. They tend to have high efficiency and are used in many applications, such as automotive, heavy truck/tractor, helicopter, wind turbines and bucket wheel reclaimer gearboxes.The purpose of this research is to develop a vibration analysis system that simulates dynamic behavior of large low speed, high torque planetary spur gear systems such as used in bucket wheel reclaimer and wind turbine gearboxes, with and without gear element faults. This thesis investigates lumped mass modelling methods for planetary gearbox dynamic behavior based on previous gearbox modelling research including the use of the coupled torsional-transverse behavior of the gear body. The dynamic model of the planetary spur gear system includes effects such as: variable tooth mesh stiffness, dynamic transmission error effects, and pitch and profile excitation for gear fault detection purposes. Different tooth faults are simulated using the concept of combined torsional mesh stiffness. The dynamics of spur planetary gear systems with and without tooth faults are compared and analyzed to improve the understanding of fault detection in the present gear systems.Dynamic modelling of gear systems, such as outlined in this thesis can assist in understanding the consequence of large transient events, including the fluctuations in tooth loads which can reduce gear fatigue life and lead to further tooth damage. Early detection of faults on gear teeth can be used to initiate maintenance actions in order to reduce repair work and avoid catastrophic breakdown.
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Xue, Song. "An investigation of gear meshing behaviour of planetary gear systems for improved fault diagnosis." Thesis, Curtin University, 2016. http://hdl.handle.net/20.500.11937/141.

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This research has presented gear dynamic models and associated simulations to improve gear fault detection. These models include the use of finite element and lumped parameter methods for both fixed axis and planetary gear systems. The findings in this research provide an improved understanding of the gear fault mechanism and advance the gear fault detection capability of the whole drive train system. It also suggests further effective ways of monitoring the whole gear train system.
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Ding, Huali. "Dynamic wear models for gear systems." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1194025602.

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Sommer, Andrew Patrick. "VIBRATION-BASED HEALTH MONITORING OF MULTIPLE-STAGE GEAR TRAIN AND DIFFERENTIAL PLANETARY TRANSMISSION INVOLVING TEETH DAMAGE AND BACKLASH NONLINEARITY." DigitalCommons@CalPoly, 2011. https://digitalcommons.calpoly.edu/theses/631.

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The objective of this thesis is to develop vibration-based fault detection strategies for on-line condition monitoring of gear transmission systems. The study divides the thesis into three sections. First of all, the local stresses created by a root fatigue crack on a pinion spur gear are analyzed using a quasi-static finite element model and non-linear contact mechanics simulation. Backlash between gear teeth which is essential to provide better lubrication on tooth surfaces and to eliminate interference is included as a defect and a necessary part of transmission design. The second section is dedicated to fixed axis power trains. Torsional vibration is shown to cause teeth separation and double-sided impacts in unloaded and lightly loaded gearing drives. The transient and steady-state dynamic loading on teeth within a two stage crank-slider mechanism arising from backlash and geometric manufacturing errors is investigated by utilizing a non-linear multi-body dynamics software model. The multi-body model drastically reduces the computation time required by finite element methods to simulate realistic operation. The gears are considered rigid with elastic contact surfaces defined by a penalty based non-linear contact formulation. The third section examines a practical differential planetary transmission which combines two inputs and one output. Planetary gears with only backlash errors are compared to those containing both backlash and tooth defects under different kinematic and loading conditions. Fast Fourier Transform (FFT) analysis shows the appearance of side band modulations and harmonics of the gear mesh frequency. A joint time-frequency analysis (JTFA) during start-up reveals the unique vibration patterns for fixed axis gear train and differential planetary gear, respectively, when the contact forces increase during acceleration.
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Fang, Brian. "CAE Methods on Vibration-based Health Monitoring of Power Transmission Systems." DigitalCommons@CalPoly, 2013. https://digitalcommons.calpoly.edu/theses/1143.

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This thesis focuses on different methods to analyze power transmission systems with computer software to aid in detection of faulty or damaged systems. It is split into three sections. The first section involves utilizing finite element software to analyze gear stiffness and stresses. A quasi-static and dynamic analysis are done on two sets of fixed axis spur gears and a planetary gear system using ABAQUS to analyze the stress, strain and gear mesh stiffness variation. In the second section, the vibrational patterns produced by a simple bevel gear system are investigated by an experiment and by dynamic modeling in ADAMS. Using a Fast Fourier Transform (FFT) on the dynamic contact forces, a comprehensive frequency-domain analysis will reveal unique vibration spectra at distinct frequencies around the gear mesh frequencies, their super- and sub- harmonics, and their side-band modulations. ADAMS simulation results are then compared with the experimental results. Constraints, bearing resistant torques, and other key parameters are applied as closely as possible to real operating conditions. The third section looks closely at the dynamic contact forces of a practical two-stage planetary gear. Using the same FFT approach in the second section, a frequency-domain analysis will reveal distinct frequencies around both the first-stage and the second-stage gear mesh frequencies, and their harmonics. In addition, joint time-frequency analysis (JTFA) will be applied to damaged and undamaged planetary gear systems with transient start-up conditions to observe how the frequency contents of the contact force evolve over time.
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Ligata, Haris. "Impact of system-level factors on planetary gear set behavior." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1172599656.

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Linderstam, Albin. "Analytical tool for electromechanical actuators for primary and secondary flight control systems : Optimization of the initial design of the EMA using parametric sizing models." Thesis, Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-74246.

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The number of flights have increased by 80% between 1990 and 2014, and the demand for air travel continues to increase. Even though the aviation sector contributes to economical and social benefits, it still affects the climate change [1]. A first step to minimize the environmental impact is to develop more electric aircraft (MEA), where the idea is to maximize the use of electricity and improve the overall energy effciency [2]. In most of today's aircraft, large mechanical transmission shafts with a lot of components are driven by central power units, termed centralized drive systems. By the use of electromechanical actuators (EMAs), a distributed drive systems can be used instead, which increases functionality, reduces mass, maintenance and energy consumption, as well as improves manufacturing and assembly [3].  When designing electromechanical actuators, one must take into account a lot of parameters that affect each other in various ways. It is often a time-consuming job to find the most optimal choice of architecture. Parameters such as temperature, load, lifetime and effciency to mention a few. This master thesis offers a new analytical tool for EMAs of primary and secondary flight control systems for Saab Avionics Systems. The aim of the analytical tool is to characterize the parts of the system and identify important parameters in order to find the most optimal choice of architecture. The tool focus on the main mechanical components such as the three-phase synchronous permanent magnet motor, power-off brake, two-stage planetary gearbox and ball screw. The tool developed in this project generates an initial design of the EMA with optimized dimensions in order to minimize both mass and energy consumption. It functions by identifying three main groups of parameters: The input parameters: fixed values defined by the customer demands The design parameters: variables that the user can change to find the optimal choice of architecture The output parameters: resulting values of either performance or dimensions By defining few design parameters for each component, and implementing multidisciplinary design optimization (MDO), the analytical tool can find an optimized solution for each specific project in a time-efficient way. The final values of the parameters characterize the performance of the EMA.
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Boguski, Brian C. "An Experimental Investigation of the System-Level Behavior of Planetary Gear Sets." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1291009879.

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Cooley, Christopher Gary. "High-Speed Dynamics and Vibration of Planetary Gears, Vibration of Spinning Cantilevered Beams, and An Efficient Computational Method for Gear Dynamics." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1354558979.

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Liang, Chun-Chieh, and 梁竣傑. "Dynamic Load Analysis of Planetary Gear Systems." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/53926229843237199791.

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碩士
中華大學
機械與航太工程研究所
94
This thesis expects to analyze the dynamic characteristics of the 2K-H planetary gear systems that includes the investigation effect of the design parameter on the gear system dynamics. The analysis techniques of planetary gear system dynamics will be established. Due to their special features of the high power-volume ratio and easy realization of the concentric input and output shafts, the planetary gear sets have been widely used in machine transmissions. However with the increase of their higher demand of specs such as rotation speed, precision, and noise and vibration etc, the analysis of dynamics for the gear systems has become important. 　　Firstly, the tooth profiles of standard and nonstandard gears, mesh points, and phasing relation of variant teeth pairs are formulated. Then, the time varying stiffness of sun gear- planet gear and ring gear- plant gear meshing gears can thus be calculated. Next, after employing Lagrange’s equation, the equations of motion of the gear systems in an equivalent discrete from, including the models of gears, a motor, gear shafts, and loadings, are derived. Further, the torques applied on the driving and driven shafts are the excitation force of the systems. Finally, using the Jacobi transformation and the Runge-Kutta integration respectively, natural frequencies, dynamic deformations and meshing forces, and dynamic factor will be calculated.　　 　 Additionally, this thesis, using the commercialized software LS-DYNA, calculates the planetary gear system dynamics in a continuous approach. The analyzing process; including geometric model and mesh generation, initial and boundary conditions, and numerical and output controls; are introduced abundantly. The result by using LS-DYNA is compared to the result by the above discrete model by which the proposed discrete model both in theory and in numerical can be verified. 　　Finally the influences of the design parameters including the rotation speed, damping, and correction factor on the gear system dynamics analysis are investigated. It demonstrates that the theoretic model and the calculated results of this thesis can be successfully applied when designing planetary gear systems.
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Book chapters on the topic "Planetary gear systems"

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Graja, Oussama, Bacem Zghal, Kajetan Dziedziech, Fakher Chaari, Adam Jablonski, Tomasz Barszcz, and Mohamed Haddar. "New Modeling of Planetary Gear Transmission." In Design and Modeling of Mechanical Systems—III, 1227–33. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66697-6_120.

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Karray, Maha, Nabih Feki, Fakher Chaari, and Mohamed Haddar. "Modal Analysis of Helical Planetary Gear Train Coupled to Bevel Gear." In Mechatronic Systems: Theory and Applications, 149–58. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07170-1_14.

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Fanghella, P., L. Bruzzone, and S. Ellero. "Dynamic Balancing of a Nutating Planetary Bevel Gear Train." In Multibody Mechatronic Systems, 23–33. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09858-6_3.

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Saulescu, R., C. Jaliu, D. Ciobanu, and D. Diaconescu. "Differential Planetary Gear Transmissions Usable in Renewable Energy Systems." In Mechanisms, Transmissions and Applications, 273–80. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-2727-4_25.

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Santhi, K., Dhanasekaran Rajagopal, Somasundaram Devaraj, and Nirmala Madian. "Enhancing the Quality of Failed Planetary Gear Regions Using Intensity Transformation." In Lecture Notes in Networks and Systems, 121–27. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-8204-7_12.

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Filgueira da Silva, Samuel, Jony J. Eckert, Áquila Chagas de Carvalho, Fabio Mazzariol Santiciolli, Ludmila C. A. Silva, and Franco Giuseppe Dedini. "Multi-body Dynamics Co-simulation of Planetary Gear Train for Dynamic Meshing Force Analysis." In Multibody Mechatronic Systems, 159–67. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60372-4_18.

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Huy, Vu Le, and Do Duc Nam. "An Expression Method of Kinematic and Structure Diagrams for Planetary Gear Systems." In Advances in Asian Mechanism and Machine Science, 145–56. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-91892-7_14.

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Guo, Shuli, and Lina Han. "The Numerical Solutions and Their Applications in 2K-H Planetary Gear Transmission Systems." In Stability and Control of Nonlinear Time-varying Systems, 227–52. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-8908-4_12.

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Wei, Linghui, Canjiang Yao, and Hailong Wang. "Finite Element Analysis of Dynamic Contact Stress of Planetary Gear of RV Reducer." In Application of Intelligent Systems in Multi-modal Information Analytics, 574–84. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15740-1_78.

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Cubillo, Adrian, Suresh Perinpanayagam, Marcos Rodriguez, Ignacio Collantes, and Jeroen Vermeulen. "Prognostics Health Management System based on Hybrid Model to Predict Failures of a Planetary Gear Transmission." In Machine Learning for Cyber Physical Systems, 33–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-48838-6_5.

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Conference papers on the topic "Planetary gear systems"

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Samanuhut, Patinya, and Atilla Dogan. "Dynamics Equations of Planetary Gear Sets for Shift Quality by Lagrange Method." In ASME 2008 Dynamic Systems and Control Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/dscc2008-2151.

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The equations of motion of planetary gear sets including pinion dynamics are derived using the Lagrange method. The Lagrange method provides a systematic procedure for derivation and yields a single set of equations that are valid for all gears and shifts for a given configuration. This procedure is applied to the coupled planetary gear set in GM Hydramatic 440 transmission. The planetary gear set equations along with a simplified engine, torque converter, friction elements and vehicle model are simulated for 2–3 and 3–4 shifts. The simulation results demonstrate that the equations derived for planetary gear sets can be used for studying shift quality.
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Donley, Mark G., and Glen C. Steyer. "Dynamic Analysis of a Planetary Gear System." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0015.

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Abstract Noise reduction in geared systems is usually achieved by minimizing transmission error or by changing the gear train’s dynamic response. While considerable research has been directed in the past to understanding and controlling the transmission error, the same can not be said of the system dynamic response. Recent efforts at modifying the dynamic response to reduce the sensitivity to transmission error have proven to be very rewarding for parallel shaft gearing applications. In this paper, these efforts are extended to planetary gear set applications. A major difference between planetary gear sets and parallel shaft gears is that in planetary gear sets many gear meshes carry load instead of just one. This feature poses a modeling problem as to how to combine responses due to transmission errors at each loaded mesh to determine the total response. A method is proposed in this paper in which transmission errors at different gear meshes are combined into net vertical, net lateral and net tangential transmission errors. A methodology for computing dynamic mesh force response due to these net transmission errors and for identifying critical components that control the gear train system dynamics is presented. These techniques are useful in understanding the effects of system dynamics on gear noise and in developing quiet gear design. To demonstrate the salient features of the proposed method, an example analysis of a transmission with a planetary gear set is presented.
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Jao, Tze-Chi, Timothy Henly, Gerald W. Carlson, Chintan Ved, Roscoe O. Carter, Daniel H. Hildebrand, and Wally Ogorek. "Planetary Gear Fatigue Behavior in Automatic Transmission." In Powertrain & Fluid Systems Conference and Exhibition. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2006. http://dx.doi.org/10.4271/2006-01-3243.

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Kiracofe, Daniel R., and Robert C. Parker. "Structured Vibration Modes of General Compound Planetary Gear Systems." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34394.

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This paper extends previous analytical models of simple, single-stage planetary gears to compound, multi-stage planetary gears. This model is then used to investigate the structured vibration mode and natural frequency properties of compound planetary gears of general description, including those with equally-spaced planets and diametrically opposed planet pairs. The well-defined cyclic structure of simple, single-stage planetary gears is shown to be preserved in compound, multi-stage planetary gears. The vibration modes are classified into rotational, translational, and planet modes and the unique properties of each type are examined and proved for general compound planetary gears. All vibration modes fall into one of these three categories. For most cases, both the properties of the modes and the modes themselves are shown to be insensitive to relative planet positions between stages of a multi-stage system.
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5

Molokanov, Oleg, Pavel Kurbatov, Pavel Dergachev, and Ahmed Alami. "Dynamic model of coaxial magnetic planetary gear." In 2015 18th International Conference on Electrical Machines and Systems (ICEMS). IEEE, 2015. http://dx.doi.org/10.1109/icems.2015.7385171.

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6

Mosher, Marianne. "Understanding Vibration Spectra of Planetary Gear Systems for Fault Detection." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/ptg-48082.

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This paper explores the vibration spectra for planetary gear systems by studying a kinematic model of vibration and comparing the model with measurements of two helicopter transmissions made in flight. The model and flight data include systems with both uniformly and nonuniformly spaced planet gears. This model predicts vibration to occur only at frequencies that are integer multiples of the planet spacing repetition frequency and clustered around gear mesh harmonics. Vibration measurements show the model correctly predicts the frequencies with large components around the first several harmonics of the gear mesh frequency. Measurements do not confirm some of the more detailed features predicted by the model. Some features in the spectra from the numerically derived model can be used to separate the model data with and without planted faults. These features were not found useful for detecting faults in the vibration measurements of real gearboxes in flight due to added complexity in the spectra from real gearboxes.
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7

Tasi, L. W., and E. R. Maki. "Planetary-Gear-Type Second-Harmonic Balancers." In ASME 1987 Design Technology Conferences. American Society of Mechanical Engineers, 1987. http://dx.doi.org/10.1115/detc1987-0098.

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Abstract This paper describes several mechanical balancers, based on the planetary gear trains known as the hypotrochoid and epitrochoid trains, for reducing or eliminating second-order out-of-balance in mechanical systems. It is shown that by proper arrangement of the planetary gear trains, a balancer can be obtained for the elimination of second-order shaking forces or second-order shaking moments or a combination of both shaking forces and moments. The advantage of this type of balancer is that the carrier of the gear train needs only to run at the primary speed of the mechanical system to be balanced. Therefore, the balancer can be designed to be concentric with the primary rotating shaft of the machine using the primary shaft as the carrier. For example, for the balance of the second-order shaking force of an in-line four-cylinder four-stroke internal combustion piston engine, the balancer can be placed on the third main bearing or one on each of the second and fourth main bearings.
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8

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

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Vibration induced gear noise and dynamic loads remain key concerns in many transmission applications that use planetary gears. Tooth separations at large vibrations introduce nonlinearity in geared systems. The present work examines the complex, nonlinear dynamic behavior of spur planetary gears using two models: (i) a lumped-parameter model, and (ii) a finite element model. The two-dimensional lumped-parameter model represents the gears as lumped inertias, the gear meshes as nonlinear springs with tooth contact loss and periodically varying stiffness due to changing tooth contact conditions, and the supports as linear springs. The two-dimensional finite element model is developed from a unique finite elementcontact analysis solver specialized for gear dynamics. Mesh stiffness variation excitation, corner contact, and gear tooth contact loss are all intrinsically considered in the finite element analysis. The dynamics of planetary gears show a rich spectrum of nonlinear phenomena. Nonlinear jumps, chaotic motions, and period-doubling bifurcations occur when the mesh frequency or any of its higher harmonics are near a natural frequency of the system. Responses from the dynamic analysis using analytical and finite element models are successfully compared qualitatively and quantitatively. These comparisons validate the effectiveness of the lumped-parameter model to simulate the dynamics of planetary gears. Mesh phasing rules to suppress rotational and translational vibrations in planetary gears are valid even when nonlinearity from tooth contact loss occurs. These mesh phasing conclusions, however, are not valid in the chaotic and period-doubling regions.
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9

Zhang, Yi, and Zhi Wu. "A Simple Method for Gear Ratio and Torque Analysis of Planetary Train Systems." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/ptg-5793.

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Abstract Planetary gear train systems are widely used in automotive transmissions due to their compactness, large reduction ratios and degrees of freedom available for the selection of gear ratios. The analysis of gear ratios and torque relations among the elements of a planetary train system is often difficult due to the complexity of the planetary train structure. This is especially the case for automotive transmissions using planetary train system where the members for input and output and the members that are fixed or interconnected must be changed in the clutch engagement schedule to obtain multiple transmission speeds. This paper proposes a systematic approach that simplifies the gear ratio and torque analysis based on the basic planetary train characteristics. The approach can be effectively used for the analysis of gear ratio and static torques for power transmissions consisting of parallel planetary trains. A case study of multi-speed automotive transmission based on the approach is included in the paper.
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10

Starzhinsky, Victor E., Elena I. Mardosevich, Vladimir L. Basinyuk, and Sergei A. Ossipenko. "Gearmotors With a Planetary Eccentric Gear Train for Service and Mechatronic Systems." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34104.

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Investigation results are cited in the field of developing super-light gearmotors based on high-torque motors, eccentric single-stage gear transmissions of planetary type with gear ratios between 80 and 120. These include the gears of aluminum alloys with working surfaces coated by micro-arc oxidation. Peculiarities of their design are presented as well as computation of geometrical parameters of the main elements, material choice and hardening techniques exerting most favorable effect on the lifetime and output-input ratio of the drive.
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