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.
Mots-clés : power transmission design, optimization, multi-level decomposition, graph approach, quadratic programming, dynamic programming
@article{RO_2007__41_2_213_0,
author = {Dolgui, Alexandre and Guschinsky, Nikolai and Levin, Genrikh},
title = {Optimization of power transmission systems using a multi-level decomposition approach},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {213--229},
publisher = {EDP-Sciences},
volume = {41},
number = {2},
year = {2007},
doi = {10.1051/ro:2007017},
mrnumber = {2341441},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro:2007017/}
}
TY - JOUR AU - Dolgui, Alexandre AU - Guschinsky, Nikolai AU - Levin, Genrikh TI - Optimization of power transmission systems using a multi-level decomposition approach JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2007 SP - 213 EP - 229 VL - 41 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro:2007017/ DO - 10.1051/ro:2007017 LA - en ID - RO_2007__41_2_213_0 ER -
%0 Journal Article %A Dolgui, Alexandre %A Guschinsky, Nikolai %A Levin, Genrikh %T Optimization of power transmission systems using a multi-level decomposition approach %J RAIRO - Operations Research - Recherche Opérationnelle %D 2007 %P 213-229 %V 41 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro:2007017/ %R 10.1051/ro:2007017 %G en %F RO_2007__41_2_213_0
Dolgui, Alexandre; Guschinsky, Nikolai; Levin, Genrikh. Optimization of power transmission systems using a multi-level decomposition approach. RAIRO - Operations Research - Recherche Opérationnelle, Tome 41 (2007) no. 2, pp. 213-229. doi : 10.1051/ro:2007017. http://archive.numdam.org/articles/10.1051/ro:2007017/
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