The Meshing Efficiency Analysis of Coupled Planetary Gear Reducer

2013 ◽  
Vol 479-480 ◽  
pp. 309-313 ◽  
Author(s):  
Long Chang Hsieh ◽  
Hsiu Chen Tang
Keyword(s):  
Planetary Gear ◽  
Efficiency Analysis ◽  
Reduction Ratio ◽  
Kinematic Design

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

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 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.

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 Three-Speed Automatic Transmission for Electric Motorcycle

2013 ◽  
Vol 284-287 ◽  
pp. 979-982 ◽  
Author(s):  
Long Chang Hsieh ◽  
Hsiu Chen Tang
Keyword(s):  
Power Systems ◽  
Internal Combustion Engines ◽  
Automatic Transmission ◽  
Planetary Gear ◽  
Reduction Ratio ◽  
Gear Train ◽  
Carbon Reduction ◽  
Kinematic Design ◽  
Automatic Transmissions ◽  
Gear Trains

Motorcycle is invented so far more than 100 years. Because of having the advantages of light weight, cheap and fast-moving, motorcycle becomes the most popular traffic vehicle. Traditionally, the power systems of motorcycles are internal combustion engines. Recently, due to the reason of energy-saving, and carbon reduction, the engine in motorcycle is substituted by electric motor. Hence, due to the reason of pollution-free, electric motorcycle become more and more popular in city traffic. Planetary gear trains can be used as the transmission systems for electric motorcycles. The purpose of this work is to do the kinematic design of three-speed planetary gear type automatic transmissions for electric motorcycles. First, according to the train value equation of planetary gear train, The reduction ratio equations of planetary gear type automatic transmissions can be derived. Then , based on these reduction ratio equations, the kinematic design of three-speed planetary gear type automatic transmission is accomplished. Based on the proposed methodology, all three-speed planetary gear type automatic transmissions can be synthesized.

The Design and Efficiency Analysis of Planetary Gear Reducer

2011 ◽  
Vol 317-319 ◽  
pp. 2226-2229 ◽  
Author(s):  
Long Chang Hsieh ◽  
Tzu Hsia Chen
Keyword(s):  
Power System ◽  
Design Methodology ◽  
Planetary Gear ◽  
Mechanical Efficiency ◽  
Efficiency Analysis ◽  
Kinematic Design ◽  
Output Torque ◽  
Large Output

Recently, the power system equipped in elevator contains motor and gear reducer to get large output torque. The purpose of this paper is to propose a desgin methodology for the kinematic design and efficiency analysis of planetary gear reducer for elevator. First, according to the concept of train value equation of the train circuit, the 2 stage planetary gear reducer is synthesized. Then, according to the latent power theorem, the mechanical efficiency of 2 stage planetary gear reducer is analyzed to be 95.43%. One planetary gear reducer is designed to illustrate the design methodology. Based on the proposed methodology, all planetary gear reducers for elevator 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.

Analyzing the Efficiency of County Road Production – Evidence from Eastern German Counties

2019 ◽  
Vol 20 (4) ◽  
pp. e415-e435
Author(s):  
Carolin Fritzsche
Keyword(s):  
Public Service ◽  
Local Governments ◽  
Efficiency Analysis ◽  
Data Envelopment ◽  
Government Services ◽  
The Road ◽  
Data Limitations ◽  
Using Data ◽  
Unique Dataset

AbstractThis study analyzes the efficiency of the road production by local governments using data envelopment analysis. The production of roads is a costly public service, which makes an efficiency analysis in this field an interesting subject. I enhance the previous literature, first, by examining the differences in the efficiencies of eastern German counties while considering the deformation of the pavement and foundation of roads, which previous studies have not included due to data limitations. Second, I use a unique dataset on road quality for my efficiency analysis and show that the efficiency levels differ from those in studies that apply proxies, such as the number of accidents, to capture the quality of roads. These findings indicate that there is a great need to develop reliable variables to describe government services. Additionally, I show that the correlations between efficiency levels and county characteristics vary greatly depending on the quality indicator used.

THE INNOVATIVE DESIGN OF AUTOMATIC TRANSMISSIONS FOR ELECTRIC MOTORCYCLES

2013 ◽  
Vol 37 (3) ◽  
pp. 741-753 ◽  
Author(s):  
Long-Chang Hsieh ◽  
Hsiu-Chen Tang
Keyword(s):  
Design Methodology ◽  
Planetary Gear ◽  
Gear Train ◽  
Check List ◽  
Innovative Design ◽  
Planetary Gear Train ◽  
Kinematic Design ◽  
Design Concepts ◽  
Automatic Transmissions ◽  
List Method

Due to the reason of pollution-free, electric motorcycle become more and more popular in city traffic. The purpose of this work is to propose a design methodology for the invention of planetary gear automatic transmissions for electric motorcycles. First, applying the check list method (combining and extending methods), the design concepts are proposed. Then, based on the train value equation of planetary gear train, we derive reduction-ratio equations of these planetary gear automatic transmissions. In this paper, five new design concepts including three 3-speed and two 4-speed are synthesized. Three examples of the kinematic design of planetary gear automatic transmissions are accomplished to illustrate the design methodology.

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