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Research Papers: Power Transmissions and Gearing

Nonlinear Identification of Machine Settings for Flank Form Modifications in Hypoid Gears

[+] Author and Article Information
Alessio Artoni1

Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione, University of Pisa, Via Diotisalvi 2, 56122 Pisa, Italyalessio.artoni@ing.unipi.it

Marco Gabiccini

Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione, University of Pisa, Via Diotisalvi 2, 56122 Pisa, Italym.gabiccini@ing.unipi.it

Massimo Guiggiani

Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione, University of Pisa, Via Diotisalvi 2, 56122 Pisa, Italym.guiggiani@ing.unipi.it

1

Corresponding author.

J. Mech. Des 130(11), 112602 (Sep 25, 2008) (8 pages) doi:10.1115/1.2976454 History: Received September 25, 2007; Revised May 26, 2008; Published September 25, 2008

This paper presents a new systematic method for identifying the values of the machine-tool settings required to obtain flank form modifications in hypoid gears. The problem is given a nonlinear least-squares formulation, and it is solved by the Levenberg–Marquardt method with a trust-region strategy. To test the method, the same ease-off topography was obtained by means of very different sets of machine-tool settings, including a set of only kinematic parameters and a highly redundant set of 17 parameters. In all cases, the goal was achieved in a few iterations, with residual errors well below machining tolerances and, even more importantly, with realistic values of all parameters. Therefore, significant improvements in practical gear design can be achieved by employing the overall proposed procedure.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Outside blade of the grinding wheel (conjugate to the tooth concave side)

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Figure 2

Geometric arrangement of the cradle-style machine

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Figure 3

A typically prescribed ease-off correction (lengthwise crowning)

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Figure 4

Definition of residual ease-off

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Figure 5

The dogleg step (two-dimensional case)

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Figure 6

Target ease-off topography on a 7×11 grid (pinion concave side)

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Figure 7

Improvement in the pinion contact pattern after application of the target ease-off topography

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Figure 8

Kinematic set test: residual ease-off values

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