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Optimal Selection of the Structural Scheme of Compound Two-Carrier Planetary Gear Trains and Their Parameters

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Recent Advances in Gearing

Abstract

The Torque Method is an easy way for kinematic and power analysis of planetary gear trains, both simple and compound ones. Moreover it gives possibility of optimal choice of a structural scheme (and its parameters) of compound planetary gear trains.

In this chapter most common ways of optimization of planetary gear trains are overviewed. Appropriate optimization criteria of the most common simple planetary gear train (with one external and one internal meshing) are discussed. Multi-objective choice of structural scheme and its parameters of two-carrier planetary gear trains is proposed. Two-carrier planetary gear trains with three and four external shafts are considered. The choice is made between all possible structural schemes of planetary gear trains in question through the torque method.

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Notes

  1. 1.

    At the end of the twentieth century, there was a tendency toward dismissing the optimization methods with weight coefficients as subjective. Modern computer technology with its advanced dialogue mode enables the rapid simulation of different variants (with different weight coefficients) and renders these methods more flexible and suitable for various tasks, which definitely compensates the shortcomings of subjectivism and even turns it into advantage.

  2. 2.

    Equivalent efficiency is calculated for two-speed PGTs on the base of efficiencies in work with both speeds (i1 and i2) considering relative working time of each of them.

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Author information

Authors and Affiliations

  1. University of Chemical Technology and Metallurgy, Sofia, Sofia, Bulgaria

    Dimitar P. Karaivanov

  2. Faculty of Engineering, University of Rijeka, Rijeka, Croatia

    Sanjin Troha

Authors
  1. Dimitar P. Karaivanov
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Editor information

Editors and Affiliations

  1. Mechanical Engineering, Sterling Heights, MI, USA

    Stephen P. Radzevich

Appendix 8.1

Appendix 8.1

Total speed ratio i of six working modes of compound PGTs from Table 8.1 as a function of torques ratios tI and tII of component PGTs.

Scheme

S11

S12

S13

WN(E)

NW(E)

WE(N)

EW(N)

NE(W)

EN(W)

Scheme

S14

S15

S16

WN(E)

NW(E)

WE(N)

EW(N)

NE(W)

EN(W)

Scheme

S22

S23

S24

WN(E)

NW(E)

WE(N)

EW(N)

NE(W)

EN(W)

Scheme

S25

S26

S33

WN(E)

NW(E)

WE(N)

EW(N)

NE(W)

EN(W)

Scheme

S34

S35

S36

WN(E)

NW(E)

WE(N)

EW(N)

NE(W)

EN(W)

Scheme

S44

S45

S46

WN(E)

NW(E)

WE(N)

EW(N)

NE(W)

EN(W)

Scheme

S55

S56

S66

WN(E)

NW(E)

WE(N)

EW(N)

NE(W)

EN(W)

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Karaivanov, D.P., Troha, S. (2022). Optimal Selection of the Structural Scheme of Compound Two-Carrier Planetary Gear Trains and Their Parameters. In: Radzevich, S.P. (eds) Recent Advances in Gearing. Springer, Cham. https://doi.org/10.1007/978-3-030-64638-7_8

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