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Research Papers

A Parametric Analysis of the Gear Surface Roughness After Hobbing

[+] Author and Article Information
Lars Vedmar

Division of Machine Elements, Lund University, P.O. Box 118, SE-22100 Lund, Swedenlars.vedmar@mel.lth.se

J. Mech. Des 132(11), 111004 (Oct 22, 2010) (8 pages) doi:10.1115/1.4002655 History: Received April 30, 2009; Revised September 21, 2010; Published October 22, 2010; Online October 22, 2010

Hobbing is a common manufacturing method when producing helical, involute gears. In order to give the manufactured gear a controlled surface smoothness, a method to, very accurately, determine the achieved surface geometry is needed. In this report, the cutting surfaces of the tool, of which the cutting edges are the boundaries, are assumed to be plane in arbitrary directions. They are mathematically described using parametric and analytically differentiable functions. These functions give the possibility to determine the geometry of the three-dimensional surface of the manufactured gear, without any additional numeric approximations. By comparing this surface with the smooth surface of an ideal gear, the roughness of the surface can be determined. An example is given in which the surface topology and the characteristic surface roughness parameters are determined.

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Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 1

Basic rack and rack cutter

Grahic Jump Location
Figure 2

Gear and rack cutter

Grahic Jump Location
Figure 3

Hob in cooperation with rack

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Figure 4

Hob gear in cooperation with rack

Grahic Jump Location
Figure 5

Hob cutting the gear blank

Grahic Jump Location
Figure 6

Gear tooth surface topology

Grahic Jump Location
Figure 7

Gear surface roughness

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