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The analytical expression of the efficiency of planetary gear trains

Authors :
Jose M. del Castillo
Source :
Mechanism and Machine Theory. 37:197-214
Publication Year :
2002
Publisher :
Elsevier BV, 2002.

Abstract

Two procedures are presented for obtaining the analytical expression for the efficiency of any planetary gear train. The first employs the speed and torque equations and the concept of virtual gear teeth ratios. The second is based on an relationship between the gearing power and the speed ratio. This relationship, which is satisfied by any spur gear train, allows one to obtain the efficiency expression in a surprisingly simple manner. Two proofs of that relationship are presented.

Subjects

Subjects :
Power transmission
Engineering
business.industry
Mechanical Engineering
Bioengineering
Differential (mechanical device)
Control engineering
Physics::Classical Physics
Expression (mathematics)
Computer Science Applications
Power (physics)
Computer Science::Robotics
Gear train
Non-circular gear
Mechanics of Materials
Control theory
Simple (abstract algebra)
Torque
business

Details

ISSN :
0094114X
Volume :
37
Database :
OpenAIRE
Journal :
Mechanism and Machine Theory
Accession number :
edsair.doi...........51d6c5ce22d1dd39f094425defd2cd74
Full Text :
https://doi.org/10.1016/s0094-114x(01)00077-5
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