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Technical Briefs

Power Flow Analysis of Compound Epicyclic Gear Transmission: Simpson Gear Train

[+] Author and Article Information
Chao Chen

Mem. ASME Department of Mechanical and Aerospace Engineering,  Monash University, Clayton, Victoria 3802, Australia e-mail: chao.chen@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 surfaceroughness. Here, we simply assume that the loss factors at hand are perfectly known.

J. Mech. Des 133(9), 094502 (Sep 07, 2011) (5 pages) doi:10.1115/1.4004609 History: Received February 19, 2011; Revised July 11, 2011; Published September 07, 2011; Online September 07, 2011

An analytical expression for the total efficiency of the Simpson gear train is derived using virtual power analysis. This expression is consistent with intuition when the total efficiency is 100%. Power flow analysis shows that there are no internal power circulation and amplification in the Simpson gear train. Analysis based on the derived efficiency formula shows that the total efficiency of the Simpson gear transmission is more sensitive to the individual gear efficiencies when the speed reduction is higher.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

A schematic drawing of the Simpson gear train

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Figure 2

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

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Figure 3

(a) Power flow and (b) virtual power flow of the Simpson epicyclic train with power losses

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Figure 4

Static force analysis of the Simpson gear train

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Figure 5

The total efficiency versus (a) k1 when k2  = −0.6, and (b) k2 when k1  = 0.6

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Figure 6

The total efficiency versus the individual gear efficiency when (a) k2  = −0.6, and (b) k1  = 0.6

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Figure 7

The total efficiency versus N53 when k1  = 0.2

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