Application of the ELECTRE method to planetary gear train optimization

Abstract

This study applies multi-criteria optimization to a planetary gear train model. A planetary gear multi-criteria optimization model based on an original algorithm is presented. The experimentally determined approximations of analytical expressions for volume, mass, efficiency, and production costs serve as the basis of the algorithm. The following factors are adopted as optimization variables: numbers of teeth, number of planets, module, and face width. Functional constraints are expressed by conditions required for the proper functioning of the system in terms of geometry and strength. Apart fromthe set of Pareto optimal solutions and methods for choosing the optimal solution from this set, the ELECTRE method is included in the mathematical model. The program result analysis and comparison of all optimization methods are presented on the basis of the numerical examples obtained by applying developed software.