Microgeometry optimization has become an important phase of gear design that can remarkably enhance gear performance. For spiral bevel and hypoid gears, microgeometry is typically represented by ease-off topography. The optimal ease-off shape can be defined as the outcome of a process where generally conflicting objective functions are simultaneously minimized (or maximized), in the presence of constraints. This matter naturally lends itself to be framed as a multi-objective optimization problem. This paper proposes a general algorithmic framework for ease-off multi-objective optimization, with special attention given to computational efficiency. Its implementation is fully detailed. A simulation model for loaded tooth contact analysis is assumed to be available. The proposed method is demonstrated on a face-hobbed hypoid gear set. Three objectives are defined: maximization of gear mesh mechanical efficiency, minimization of loaded transmission error, minimization of maximum contact pressure. Bound constraints on the design variables are imposed, as well as a nonlinear constraint aimed at keeping the loaded contact pattern inside a predefined allowable contact region. The results show that the proposed method can obtain optimal ease-off topographies that significantly improve the basic design performances. It is also evident that the method is general enough to handle geometry optimization of any gear type.
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e-mail: alessio.artoni@ing.unipi.it
e-mail: m.gabiccini@ing.unipi.it
e-mail: guiggiani@ing.unipi.it
e-mail: kahraman.1@osu.edu
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December 2011
Research Papers
Multi-Objective Ease-Off Optimization of Hypoid Gears for Their Efficiency, Noise, and Durability Performances
Alessio Artoni,
Alessio Artoni
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
e-mail: alessio.artoni@ing.unipi.it
University of Pisa
, Largo Lucio Lazzarino 2, 56122 Pisa, Italy
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Marco Gabiccini,
Marco Gabiccini
Gear and Power Transmission Research Laboratory,
e-mail: m.gabiccini@ing.unipi.it
The Ohio State University
, 201 West 19th Avenue, Columbus, OH 43210
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Massimo Guiggiani,
Massimo Guiggiani
Gear and Power Transmission Research Laboratory,
e-mail: guiggiani@ing.unipi.it
The Ohio State University
, 201 West 19th Avenue, Columbus, OH 43210
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Ahmet Kahraman
Ahmet Kahraman
Gear and Power Transmission Research Laboratory,
e-mail: kahraman.1@osu.edu
The Ohio State University
, 201 West 19th Avenue, Columbus, OH 43210
Search for other works by this author on:
Alessio Artoni
Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione,
University of Pisa
, Largo Lucio Lazzarino 2, 56122 Pisa, Italy
e-mail: alessio.artoni@ing.unipi.it
Marco Gabiccini
Gear and Power Transmission Research Laboratory,
The Ohio State University
, 201 West 19th Avenue, Columbus, OH 43210e-mail: m.gabiccini@ing.unipi.it
Massimo Guiggiani
Gear and Power Transmission Research Laboratory,
The Ohio State University
, 201 West 19th Avenue, Columbus, OH 43210e-mail: guiggiani@ing.unipi.it
Ahmet Kahraman
Gear and Power Transmission Research Laboratory,
The Ohio State University
, 201 West 19th Avenue, Columbus, OH 43210e-mail: kahraman.1@osu.edu
J. Mech. Des. Dec 2011, 133(12): 121007 (9 pages)
Published Online: December 9, 2011
Article history
Received:
June 4, 2011
Revised:
September 29, 2011
Online:
December 9, 2011
Published:
December 9, 2011
Citation
Artoni, A., Gabiccini, M., Guiggiani, M., and Kahraman, A. (December 9, 2011). "Multi-Objective Ease-Off Optimization of Hypoid Gears for Their Efficiency, Noise, and Durability Performances." ASME. J. Mech. Des. December 2011; 133(12): 121007. https://doi.org/10.1115/1.4005234
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