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Research Papers

Theoretic Study of Efficiency of Two-DOFs of Epicyclic Gear Transmission via Virtual Power

[+] Author and Article Information
Chao Chen1

Department of Mechanical and Aerospace Engineering, Monash University, Clayton, Victoria 3802, Australiachao.chen@monash.edu

Teck Teh Liang

Department of Mechanical and Aerospace Engineering, Monash University, Clayton, Victoria 3802, Australiatlteh1@student.monash.edu

The loss factor varies at mesh frequency and is also dependent on a large number of gear design parameters, as related to lubrication, speed, load, and surface-roughness. Here, we simply assume that the loss factors at hand are perfectly known.

1

Corresponding author.

J. Mech. Des 133(3), 031007 (Mar 01, 2011) (7 pages) doi:10.1115/1.4003568 History: Received June 10, 2010; Revised February 01, 2011; Published March 01, 2011; Online March 01, 2011

Epicyclic gear train is a fundamental form of mechanical transmission with broad applications. Efficiency study of these trains is critical to design, optimization, and operation. It is known that the efficiencies of these systems are highly related to the internal power flows. We apply the concept of virtual power to find analytical expression of the efficiency of a two degrees of freedom train, with associated applicable ranges. The results are verified by an example.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

An epicyclic gear train with two-DOFs

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Figure 2

Static analysis of the system when 0<u<1 in case I

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Figure 3

(a) Power flow and (b) virtual power flow of the train

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Figure 4

(a) Power flow and (b) virtual power flow with loss in subcase IA

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Figure 5

Virtual power flow with loss in subcase IB

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Figure 6

(a) Power flow and (b) virtual power flow of the train

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Figure 7

(a) Power flow and (b) virtual power flow with loss in subcase IIA

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Figure 8

Virtual power flow with loss in subcase IIB

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Figure 9

Total efficiency of example in case I

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Figure 10

Total efficiencies of the example with different λ1 in (a) subcase IA and (b) subcase IB

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Figure 11

Efficiency proposed by Maggiore

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