The gear-teeth number synthesis of an automatic planetary transmission used in automobiles is formulated as a constrained optimization problem that is solved with the aid of an Estimation of Distribution Algorithm. The design parameters are the teeth number of each gear, the number of multiple planets and gear module, while the objective function is defined as the departure between the imposed and the actual transmission ratios, constrained by teeth-undercut avoidance, limiting the maximum overall diameter of the transmission and ensuring proper spacing of multiple planets. For the actual case of a speed Ravigneaux planetary transmission, the design space of the problem is explored using a newly introduced hyperfunction visualization technique, and the effect of various constraints highlighted. Global optimum results are also presented.
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January 2006
Research Papers
Teeth-Number Synthesis of a Multispeed Planetary Transmission Using an Estimation of Distribution Algorithm
P. A. Simionescu,
P. A. Simionescu
Department of Mechanical Engineering,
The University of Tulsa
, 600 S. College, Tulsa, OK 74104
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D. Beale,
D. Beale
Department of Mechanical Engineering,
Auburn University
, 202 Ross Hall, Auburn, AL 36849
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G. V. Dozier
G. V. Dozier
Department of Computer Science,
Auburn University
, 109 Dunstan Hall, Auburn, AL 36849
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P. A. Simionescu
Department of Mechanical Engineering,
The University of Tulsa
, 600 S. College, Tulsa, OK 74104
D. Beale
Department of Mechanical Engineering,
Auburn University
, 202 Ross Hall, Auburn, AL 36849
G. V. Dozier
Department of Computer Science,
Auburn University
, 109 Dunstan Hall, Auburn, AL 36849J. Mech. Des. Jan 2006, 128(1): 108-115 (8 pages)
Published Online: April 1, 2005
Article history
Received:
August 24, 2004
Revised:
April 1, 2005
Citation
Simionescu, P. A., Beale, D., and Dozier, G. V. (April 1, 2005). "Teeth-Number Synthesis of a Multispeed Planetary Transmission Using an Estimation of Distribution Algorithm." ASME. J. Mech. Des. January 2006; 128(1): 108–115. https://doi.org/10.1115/1.2114867
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