Optimization of power transmission systems using a multi-level decomposition approach
RAIRO - Operations Research - Recherche Opérationnelle, Volume 41 (2007) no. 2, pp. 213-229.

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.

DOI: 10.1051/ro:2007017
Classification: 90B10, 90C35, 90C90
Keywords: power transmission design, optimization, multi-level decomposition, graph approach, quadratic programming, dynamic programming
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Dolgui, Alexandre; Guschinsky, Nikolai; Levin, Genrikh. Optimization of power transmission systems using a multi-level decomposition approach. RAIRO - Operations Research - Recherche Opérationnelle, Volume 41 (2007) no. 2, pp. 213-229. doi : 10.1051/ro:2007017. http://archive.numdam.org/articles/10.1051/ro:2007017/

[1] A. Dadié, Réalisation d'un logiciel de conception automatique appliquée à la détermination des engrenages cylindriques : interfaçage avec un logiciel industriel de C.A.O., Ph.D. thesis, No. 366, INSA, Toulouse (1996).

[2] J.R. Dixon, Knowledge-Based Systems for Design. ASME J. Mech. Design 117 (1995) 11-16.

[3] A. Dolgui, N. Guschinsky and G. Levin, Models and Methods of Multicriteria Optimization for Computer Aided Design of Multi-Unit Mechanical Transmission Systems, in Proc. of the European Control Conference (ECC'99), Karlsruhe, Germany, CD-ROM (1999) 6 p. (and in Summaries Volume, p. 763).

[4] J.S. Freeman and S.A. Velinsky, Design of Vehicle Power Transmission Systems. ASME J. Mech. Design 117 (1995) 113-120.

[5] J. Guillot, Méthodologie de définition des ensembles mécaniques en conception assistée par ordinateur, recherche des solutions optimales, Ph.D. thesis, No. 1343, Université Paul Sabatier, Toulouse (1987).

[6] N. Guschinsky and G. Levin, Optimizing Tree Like Structure Transmission Parameters at Initial Stage of Designing, in Models and Algorithms for CAD/CAM, Minsk, Institute of Engineering Cybernetics (1994) 4-21 (in Russian).

[7] N. Guschinsky and G. Levin, Decision Support System for CAD of Transmissions, in Modeling and Information Technologies in Design. Minsk, Institute of Engineering Cybernetics (1997) 50-57 (in Russian).

[8] N. Guschinsky and G. Levin, Optimization of Quasi-additive Function over Set of Network Arc Parameters. Vesti Academii nauk Belarusi: Physical and Mathematical Science No. 1 (1999) 56-60 (in Russian).

[9] H.I. Hsieh and L.W. Tsai, Kinematic Analysis of Epicyclic-Type Transmission Mechanisms Using the Concept of Fundamental Geared Entities. ASME J. Mech. Design 118 (1996) 295-299.

[10] K. Hurst, Select and Design Optimal Rotary Power Transmission Systems. McGraw-Hill, (1998).

[11] R.S. Krishnamachari and P.Y. Papalambros, Hierarchical Decomposition Synthesis in Optimal Systems Design. ASME J. Mech. Design 119 (1997) 448-457.

[12] V.N. Kudrjavtsev, Machine Elements. Moscow, Mashgis (1980) (in Russian).

[13] V.N. Kudrjavtsev, Y.A. Derjavets and E.G.Glucharev, Design and Calculation of Gear Reducers. Moscow, Machinostroenie (1971) (in Russian).

[14] G.M. Levin and V.S. Tanaev, Decomposition Methods for Optimization of Design Decisions. Minsk, Nauka i technika (1978). | MR

[15] L. Lasdon, Optimization Theory for Large Systems. New York, Macmillan (1970). | MR | Zbl

[16] G.M. Levin and V.S. Tanaev, Parametric Decomposition of Optimization Problem. Vesti Academii nauk Belarusi: Physical and Mathematical Science No. 4 (1998) 121-131 (in Russian).

[17] F.L. Litvin, Gear Geometry and Applied Theory. Englewood Cliffs, N.J., Prentice Hall, (1994).

[18] N.F. Michelena and P.Y. Papalambros, Optimal Model-Based Decomposition of Powertrain System Design. ASME J. Mech. Design 117 (1995) 499-505.

[19] J.E. Shigley, C.R. Mischke, R.G. Budynas, Mechanical Engineering Design. 7th Ed., McGraw Hill, New York (2003).

[20] D. Su, Development of Artificial Neural Networks for Conceptual Design of a Power Transmission System, in Proc. 2nd International Conference on Adaptive Computing in Engineering Design and Control. Plymouth, England (1996) 316-318.

[21] D. Su, Intelligent Hybrid System for Integration in Design and Manufacture. J. Mater. Process. Tech. 76 (1998) 23-28.

[22] D. Su, S. Ji, N. Amin and J.B. Hull, Multi-user Internet environment for gear design optimisation. Integr. Manuf. Syst. 14 (2003) 498-507.

[23] D. Su and D. Qin, Integration of numerical analysis, virtual simulation and finite element analysis for optimum design of worm gearing. J. Process. Tech. 138 (2003) 429-435.

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