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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e-mail: alessio.artoni@ing.unipi.it
e-mail: m.gabiccini@ing.unipi.it
e-mail: m.guiggiani@ing.unipi.it
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November 2008
Research Papers
Nonlinear Identification of Machine Settings for Flank Form Modifications in Hypoid Gears
Alessio Artoni,
Alessio Artoni
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
e-mail: alessio.artoni@ing.unipi.it
University of Pisa
, Via Diotisalvi 2, 56122 Pisa, Italy
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Marco Gabiccini,
Marco Gabiccini
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
e-mail: m.gabiccini@ing.unipi.it
University of Pisa
, Via Diotisalvi 2, 56122 Pisa, Italy
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Massimo Guiggiani
Massimo Guiggiani
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
e-mail: m.guiggiani@ing.unipi.it
University of Pisa
, Via Diotisalvi 2, 56122 Pisa, Italy
Search for other works by this author on:
Alessio Artoni
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
University of Pisa
, Via Diotisalvi 2, 56122 Pisa, Italye-mail: alessio.artoni@ing.unipi.it
Marco Gabiccini
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
University of Pisa
, Via Diotisalvi 2, 56122 Pisa, Italye-mail: m.gabiccini@ing.unipi.it
Massimo Guiggiani
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
University of Pisa
, Via Diotisalvi 2, 56122 Pisa, Italye-mail: m.guiggiani@ing.unipi.it
J. Mech. Des. Nov 2008, 130(11): 112602 (8 pages)
Published Online: September 25, 2008
Article history
Received:
September 25, 2007
Revised:
May 26, 2008
Published:
September 25, 2008
Citation
Artoni, A., Gabiccini, M., and Guiggiani, M. (September 25, 2008). "Nonlinear Identification of Machine Settings for Flank Form Modifications in Hypoid Gears." ASME. J. Mech. Des. November 2008; 130(11): 112602. https://doi.org/10.1115/1.2976454
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