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Optimization of power transmission systems using a multi-level decomposition approach

Published online by Cambridge University Press:  15 June 2007

Alexandre Dolgui ,
Nikolai Guschinsky  and
Genrikh Levin
Alexandre Dolgui
Affiliation:
Division for Industrial Engineering and Computer Sciences, École Nationale Supérieure des Mines de Saint Etienne, 158, cours Fauriel, 42023 Saint Etienne Cedex, France; [email protected]
Nikolai Guschinsky
Affiliation:
United Institute of Informatics Problems, National Academy of Sciences of Belarus, Surganov Str. 6, 220012 Minsk, Belarus
Genrikh Levin
Affiliation:
United Institute of Informatics Problems, National Academy of Sciences of Belarus, Surganov Str. 6, 220012 Minsk, Belarus
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Abstract

We discuss the use of operations research methods for computer-aided design of mechanical transmission systems. We consider how to choose simultaneously transmission ratios and basic design parameters of transmission elements (diameters, widths, modules and tooth number for gears, diameters of shafts). The objectives, by the order of importance, are: to minimize the deviation of the obtained speeds from desired; to maximize the transmission life; to minimize the total mass. To solve this problem, we propose a multi-level decomposition scheme in combination with methods of quadratic and dynamic programming. Some industrial cases are solved. For these cases, the developed software tool improves the design decisions by decreasing total metal consumption of the transmission as much as 7–10% and considerable simplifies the work of the designer.

Keywords

Power transmission designoptimizationmulti-level decompositiongraph approachquadratic programmingdynamicprogramming
Type
Research Article
Information
RAIRO - Operations Research , Volume 41 , Issue 2: ROADEF 05 , April 2007 , pp. 213 - 229
Copyright
© EDP Sciences, ROADEF, SMAI, 2007

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