The Kinematic Design of 2K Type Planetary Gear Reducers with High Reduction Ratio

2013 ◽  
Vol 421 ◽  
pp. 40-45 ◽  
Author(s):  
Long Chang Hsieh ◽  
Hsiu Chen Tang ◽  
Tzu Hsia Chen ◽  
Jhen Hao Gao
Keyword(s):  
Design Process ◽  
Planetary Gear ◽  
Reduction Ratio ◽  
Shift Coefficient ◽  
Kinematic Design ◽  
Planetary Gear Trains ◽  
Tooth Number ◽  
Planet Gear ◽  
Gear Trains ◽  
High Reduction

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.

The Kinematic Design of 2K-2H Planetary Gear Reducers with High Reduction Ratio

2013 ◽  
Vol 319 ◽  
pp. 610-615 ◽  
Author(s):  
Long Chang Hsieh ◽  
Hsiu Chen Tang
Keyword(s):  
Planetary Gear ◽  
Reduction Ratio ◽  
Gear Train ◽  
Design Algorithm ◽  
Kinematic Design ◽  
Planetary Gear Trains ◽  
Kinematic Relationship ◽  
Gear Trains ◽  
High Reduction ◽  
Relationship Of

The power system equipped in machinery contains power source (motor or engine) and gear reducer to get large output torque. The rotation speed of motor is made higher and higher to obtain high power with the same volume. Hence, the reduction ratio of gear reducer is required to be higher and higher. Planetary gear trains can be used as the gear reducers with high reduction ratio. However, the planetary gear train with high reduction ratio is compound gear system. The purpose of this paper is to propose 2K-2H type planetary gear reducers with high reduction ratio. Based on the concept of train value equation, we propose a new representation to present the kinematic relationship of the members of the train circuit. According to this representation graph, we propose an algorithm for the kinematic design of planetary simple gear trains with high reduction ratio. Some 2K-2H type planetary gear reducers are designed to illustrate the design algorithm.

An Algorithm for the Kinematic Design of Gear Transmissions with High Reduction Ratio

2006 ◽  
Vol 505-507 ◽  
pp. 1003-1008 ◽  
Author(s):  
Long Chang Hsieh ◽  
Hsin Sheng Lee ◽  
Teu Hsia Chen
Keyword(s):  
Planetary Gear ◽  
Reduction Ratio ◽  
Design Algorithm ◽  
Kinematic Design ◽  
Planetary Gear Trains ◽  
Kinematic Relationship ◽  
Power Machinery ◽  
Gear Trains ◽  
High Reduction ◽  
Relationship Of

Planetary gear trains can be used as the transmission systems with high reduction ratio for power machinery. The purpose of this paper is to propose an algorithm for the kinematic design of planetary gear trains with high reduction ratio. Based on the concept of train value equation, we propose a new representation to present the kinematic relationship of the members of the train loop. According to this representation graph, we propose an efficient algorithm for the kinematic design of planetary gear trains with high reduction ratio. Three design examples are designed to illustrate the design algorithm. Based on the proposed algorithm, all planetary gear trains with high reduction ratio can be synthesized.

On the Kinematics and Statics of Planetary Simple Gear Reducers

2012 ◽  
Vol 591-593 ◽  
pp. 2165-2168 ◽  
Author(s):  
Long Chang Hsieh ◽  
Tzu Hsia Chen
Keyword(s):  
Planetary Gear ◽  
Reduction Ratio ◽  
Gear Train ◽  
Design Algorithm ◽  
Kinematic Design ◽  
Planetary Gear Trains ◽  
Output Torque ◽  
Gear Trains ◽  
High Reduction ◽  
Large Output

The power system equipped in machinery contains power source (motor or engine) and gear reducer to get large output torque. The rotation speed of motor is made higher and higher to attach high power with the same volume. Hence, the reduction ratio of gear reducer is required to be higher and higher. Planetary gear trains can be used as the gear reducers with high reduction ratio. However, the planetary gear train with high reduction ratio is compound gear system. This paper proposes planetary simple gear reducers with high reduction ratio. According to train value equation, the kinematic design of planetary simple gear trains with high reduction ratio is accomplished. Some design examples are designed to illustrate the design algorithm. Also, in this paper, the static force analysis is carried out to prove the kinematic design is right. Based on the proposed algorithm, all planetary simple gear trains with high reduction ratio can be synthesized.

On the Kinematic and Meshing Efficiency Analysis of Planetary Gear Reducer with Two Ring Gears

2014 ◽  
Vol 575 ◽  
pp. 395-399
Author(s):  
Long Chang Hsieh ◽  
Teu Hsia Chen ◽  
Hsiu Chen Tang
Keyword(s):  
Planetary Gear ◽  
Efficiency Analysis ◽  
Reduction Ratio ◽  
Gear Train ◽  
Planetary Gear Train ◽  
Ratio Equation ◽  
Planetary Gear Trains ◽  
Gear Trains ◽  
High Reduction

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.

On the Design of Planetary Gear Reducer with Simple Planet Gears

2013 ◽  
Vol 284-287 ◽  
pp. 867-871
Author(s):  
Long Chang Hsieh ◽  
Tzu Hsia Chen
Keyword(s):  
Engineering Design ◽  
Planetary Gear ◽  
Reduction Ratio ◽  
Gear Train ◽  
Planetary Gear Train ◽  
Ratio Equation ◽  
Planetary Gear Trains ◽  
Compact Size ◽  
Gear Trains ◽  
High Reduction

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.

Investigation of Planet Gear Motion in a Planetary Gear Train With Direct High Speed Monitoring

2018 ◽  
Author(s):  
Tomoki Fukuda ◽  
Masao Nakagawa ◽  
Syota Matsui ◽  
Toshiki Hirogaki ◽  
Eiichi Aoyama
Keyword(s):  
High Speed ◽  
Planetary Gear ◽  
Gear Train ◽  
Improved Method ◽  
Lighting Conditions ◽  
Planetary Gear Trains ◽  
Low Weight ◽  
Torque Capacity ◽  
Planet Gear ◽  
Gear Trains

Planetary gear trains (PGTs) are widely applied in various machines owing to their advantages, such as compactness, low weight, and high torque capacity. However, they experience the problems of vibration due to the structural and motional complexities caused by planet gears. In a previous study, it was shown that high speed monitoring is effective for evaluating the motion of planet gears under steady conditions and transient conditions including the influence of backrush. However graphical investigation was conducted manually, and improvement in accuracy is required. In this report, an improved method is proposed, which includes lighting conditions and measurement conditions. Throughout these improvement processes, instant center of rotation is calculated automatically with detected coordinates using software. This makes it possible to estimate the transient response of PGTs with planet gear motion.

The Kinematics of Eight-Speed Planetary Gear Hubs for Bicycles

2012 ◽  
Vol 232 ◽  
pp. 955-960 ◽  
Author(s):  
Long Chang Hsieh ◽  
Hsiu Chen Tang
Keyword(s):  
Design Methodology ◽  
Planetary Gear ◽  
Design Concept ◽  
Gear Train ◽  
Transmission Systems ◽  
Planetary Gear Train ◽  
Kinematic Design ◽  
Planetary Gear Trains ◽  
Gear Trains ◽  
Internal Gear

Recently, bicycles are used as exercising machines and traffic vehicles. Planetary gear trains can be used as the transmission systems with multi-speed for bicycles. The purpose of this work is to propose a design methodology for the design of eight-speed internal gear hubs with planetary gear trains for bicycles. First, we propose a design concept for the design of eight-speed planetary gear hub. Then, based on this design concept and train value equation of planetary gear train, the kinematic design of eight-speed planetary gear hub is accomplished. One eight-speed planetary gear hub is synthesized to illustrate the design methodology. Based on the proposed design methodology, many eight-speed internal gear hubs with planetary gear trains can be synthesized.

GEOMETRIC DESIGN OF ELEMENTARY PLANETARY GEAR TRAINS WITH GENERALIZED MESHING ELEMENTS

2004 ◽  
Vol 27 (4) ◽  
pp. 389-400
Author(s):  
Ta-Shi Lai
Keyword(s):  
Planetary Gear ◽  
Geometric Design ◽  
Solid Model ◽  
Planetary Gear Trains ◽  
Planet Gear ◽  
Gear Trains ◽  
Novel Concept

This work presents a novel concept of elementary planetary gear trains such that the tooth-profiles of the planet gear are generalized meshing elements. The pitch radius is kinematically replaced by the distance between the gear centre and the tooth centre. A program is developed to solve the conjugate surface equations, and to show the solid model of the proposed elementary planetary gear trains. This approach can be applied to design the elementary planetary gear trains in which the planet gear has cylindrical, conical, or hyperbolic tooth-profiles.

The Systematic Design of Multi-Speed Internal Gear Hub for a Bicycle

2011 ◽  
Vol 199-200 ◽  
pp. 431-435 ◽  
Author(s):  
Long Chang Hsieh ◽  
Tzu Hsia Chen
Keyword(s):  
Design Methodology ◽  
Planetary Gear ◽  
Systematic Design ◽  
Transmission Systems ◽  
Kinematic Design ◽  
Planetary Gear Trains ◽  
Kinematic Relationship ◽  
Gear Trains ◽  
Relationship Of ◽  
Internal Gear

The bicycle is invented so far more than 200 years. Now, bicycles are used as exercising equipments and traffic vehicles. Planetary gear trains can be used as the transmission systems with multi-speed for bicycles. The purpose of this work is to propose a design methodology for the design of multi-speed internal gear hubs with planetary gear trains for bicycles. Based on the concept of train value equation and the kinematic relationship of the members between the train circuit, we propose a design methodology for the kinematic design of multi-speed gear hubs. One multi-speed internal gear hubs is designed to illustrate the design methodology. Based on the proposed methodology, all multi-speed gear hubs with planetary gear trains can be synthesized.

Efficiency of High-Sensitivity Gear Trains, Such as Cycloid Drives

2013 ◽  
Vol 135 (7) ◽  
Author(s):  
Jonathon W. Sensinger
Keyword(s):  
High Efficiency ◽  
Planetary Gear ◽  
High Sensitivity ◽  
Planetary Gear Trains ◽  
Compact Size ◽  
Adjustment Factors ◽  
Tooth Number ◽  
Gear Trains ◽  
High Torque ◽  
Low Efficiency

Compact, high torque ratio, high efficiency transmissions are required in many applications, such as robotics. However, compact size and high torque ratios often come at the expense of surprisingly low efficiency. Here we apply Del Castillo's sensitivity framework (Del Castillo, J. M., 2002, “The Analytical Expression of the Efficiency of Planetary Gear Trains,” Mech. Mach. Theory, 37(2), pp. 197–214) to explain the low efficiency of a subset of transmissions that exploit small differences in tooth number between gears to generate high torque ratios. We add adjustment factors for several transmissions within this category, such as cycloids and harmonic drives; demonstrate that the models match empirical results for the case of cycloids across a range of torque ratios, topologies, and roller conditions; and compare and optimize the topologies of the various mechanisms. We demonstrate that for this subset of transmissions, the efficiency approaches a function of the torque ratio.

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