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Research Papers

Influence of Ring Gear Rim Thickness on Planetary Gear Set Behavior

[+] Author and Article Information
A. Kahraman1

 Ohio State University, Columbus, OH 43210kahraman.1@osu.edu

H. Ligata

 American Axle and Manufacturing, Inc., One Dauch Drive, Detroit, MI 48211-1198haris.ligata@aam.com

A. Singh

 General Motors Powertrain, Pontiac, MI 48340avinash.singh@gm.com

1

Corresponding author.

J. Mech. Des 132(2), 021002 (Jan 14, 2010) (8 pages) doi:10.1115/1.4000699 History: Received April 10, 2009; Revised November 16, 2009; Published January 14, 2010; Online January 14, 2010

In this study, results of an experimental and theoretical study on the influence of rim thickness of the ring gear on rim deflections and stresses and planet load sharing of a planetary gear set are presented. The experimental study consists of measurement of ring gear deflections and strains for gear sets having various numbers of planets, different ring gear rim thicknesses, as well as various carrier pinhole position errors. Root and hoop strain gauges and displacement probes are placed at various locations so that the variations due to external splines of the stationary ring gear can also be quantified. A family of quasistatic deformable-body models of the test planetary gear sets is developed to simulate the experiments. The predictions and measurements are compared with the assessment of the accuracy of the models within wide ranges of parameters. The influence of rim thickness on ring gear stresses and deflections and planet load sharing are quantified together with the interactions between the rim flexibility and the spline conditions. The results from this study confirm that the ring gear deflections and the ring gear support conditions must be included in the design process as one of the major factors.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Cross-sectional view of the test fixtures and (b) picture of the test fixtures mounted on a transmission dynamometer

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Figure 2

Solid models of the (a) thick, (b) medium, and (c) thin rim test ring gears used in this study

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Figure 3

Positions of the root and hoop strain gauges and the LVDT probes on a test ring gear

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Figure 4

Definition of the position of a hoop and root strain gauge pair between the two splines of the ring gear

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Figure 5

Examples of deformable-body models for (a) the four-planet gear set having a thick ring gear with Γ=0.112 and (b) the five-planet gear set having a thin ring gear with Γ=0.058

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Figure 6

Measured and predicted radial ring gear deflections of a four-planet gear set with ring gears having (a) Γ=0.112, (b) Γ=0.083, and (c) Γ=0.058 at Ts=1000 Nm

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Figure 7

Measured and predicted ring gear hoop strains of a four-planet gear set with ring gears having (a) Γ=0.112, (b) Γ=0.083, and (c) Γ=0.058 at Ts=1000 Nm

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Figure 8

Measured and predicted ring gear root strains of a four-planet gear set with ring gears having (a) Γ=0.112, (b) Γ=0.083, and (c) Γ=0.058 at Ts=1000 Nm

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Figure 9

Measured and predicted deflections and strains of a five-planet gear set with a ring gear having Γ=0.058 at Ts=1000 Nm: (a) radial deflections, (b) hoop strains, and (c) root strains

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Figure 10

Variation in the ΔR values measured by LVDT No. 2 with number of planets for ring gears having Γ=0.112, 0.083, and 0.058: (a) Ts=400 Nm, (b) Ts=600 Nm, (c) Ts=800 Nm, and (d) Ts=1000 Nm

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Figure 11

Comparison of measured maximum Li values of (a) four-planet, (b) five-planet, and (c) six-planet systems having Γ=0.112 and 0.058 at Ts=1000 Nm

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Figure 12

Measured and predicted ΔR values for a four-planet system with Γ=0.058 at Ts=1000 Nm: (a) β=75%, (b) β=43%, and (c) β=66%

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Figure 13

Measured and predicted hoop strain values for a four-planet system with Γ=0.058 at Ts=1000 Nm: (a) β=14.5%, (b) β=32.2%, (c) β=50%, (d) β=67.7%, and (e) β=85.4%

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