Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T11:00:13.895Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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).
Dixon, J.R., Knowledge-Based Systems for Design. ASME J. Mech. Design 117 (1995) 11–16. CrossRef
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).
J.S. Freeman and S.A. Velinsky, Design of Vehicle Power Transmission Systems. ASME J. Mech. Design 117 (1995) 113–120.
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).
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).
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).
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).
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.
K. Hurst, Select and Design Optimal Rotary Power Transmission Systems. McGraw-Hill, (1998).
Krishnamachari, R.S. and Papalambros, P.Y., Hierarchical Decomposition Synthesis in Optimal Systems Design. ASME J. Mech. Design 119 (1997) 448–457. CrossRef
V.N. Kudrjavtsev, Machine Elements. Moscow, Mashgis (1980) (in Russian).
V.N. Kudrjavtsev, Y.A. Derjavets and E.G.Glucharev, Design and Calculation of Gear Reducers. Moscow, Machinostroenie (1971) (in Russian).
G.M. Levin and V.S. Tanaev, Decomposition Methods for Optimization of Design Decisions. Minsk, Nauka i technika (1978).
L. Lasdon, Optimization Theory for Large Systems. New York, Macmillan (1970).
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).
F.L. Litvin, Gear Geometry and Applied Theory. Englewood Cliffs, N.J., Prentice Hall, (1994).
Michelena, N.F. and Papalambros, P.Y., Optimal Model-Based Decomposition of Powertrain System Design. ASME J. Mech. Design 117 (1995) 499–505. CrossRef
J.E. Shigley, C.R. Mischke, R.G. Budynas, Mechanical Engineering Design. 7th Ed., McGraw Hill, New York (2003).
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.
Intelligent Hybrid System, D. Su for Integration in Design and Manufacture. J. Mater. Process. Tech. 76 (1998) 23–28.
Su, D., Ji, S., Amin, N. and Hull, J.B., Multi-user Internet environment for gear design optimisation. Integr. Manuf. Syst. 14 (2003) 498–507. CrossRef
Su, D. and Qin, D., Integration of numerical analysis, virtual simulation and finite element analysis for optimum design of worm gearing. J. Process. Tech. 138 (2003) 429–435. CrossRef