In this paper, we set out to investigate the performances of some algorithms proposed in the gear literature for identifying the machine-tool settings required to obtain predesigned gear tooth surface topographies, or needed to compensate for flank form deviations of real teeth. For ease of comparison, the problem is formulated as a nonlinear least squares problem, and the most widely employed algorithms are derived as special cases. The algorithms included in the analysis are (i) one-step methods, (ii) iterative methods, and (iii) iterative methods with step control. The performance index is devised in their ability of returning practical solutions in the presence of (i) strong model nonlinearities, (ii) ill-conditioning of the sensitivity matrix, and (iii) demanding topographic shapes. Instrumental here is an original classification of topographic modifications as either “simple” or “complex,” based on the singular value decomposition (SVD) analysis of the sensitivity matrix. Some selected numerical examples demonstrate that iterative techniques with step control are the most convenient in terms of reliability and robustness of the obtained solutions. The generation process considered here is face-milling of hypoid gears, although the methodology is general enough to cope with any gear cutting/grinding method.
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April 2012
Research Papers
On the Identification of Machine Settings for Gear Surface Topography Corrections (DETC2011-47727)
Marco Gabiccini,
Marco Gabiccini
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
e-mail: m.gabiccini@ing.unipi.it
University of Pisa
, Largo Lucio Lazzarino 2, 56122 Pisa, Italy
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Alessio Artoni,
Alessio Artoni
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
e-mail: a.artoni@ing.unipi.it
University of Pisa
, Largo Lucio Lazzarino 2, 56122 Pisa, Italy
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Massimo Guiggiani
Massimo Guiggiani
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
e-mail: guiggiani@ing.unipi.it
University of Pisa
, Largo Lucio Lazzarino 2, 56122 Pisa, Italy
Search for other works by this author on:
Marco Gabiccini
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
University of Pisa
, Largo Lucio Lazzarino 2, 56122 Pisa, Italy
e-mail: m.gabiccini@ing.unipi.it
Alessio Artoni
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
University of Pisa
, Largo Lucio Lazzarino 2, 56122 Pisa, Italy
e-mail: a.artoni@ing.unipi.it
Massimo Guiggiani
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
University of Pisa
, Largo Lucio Lazzarino 2, 56122 Pisa, Italy
e-mail: guiggiani@ing.unipi.it
J. Mech. Des. Apr 2012, 134(4): 041004 (8 pages)
Published Online: March 19, 2012
Article history
Received:
June 16, 2011
Revised:
September 15, 2011
Published:
March 7, 2012
Online:
March 19, 2012
Citation
Gabiccini, M., Artoni, A., and Guiggiani, M. (March 19, 2012). "On the Identification of Machine Settings for Gear Surface Topography Corrections (DETC2011-47727)." ASME. J. Mech. Des. April 2012; 134(4): 041004. https://doi.org/10.1115/1.4006002
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