Optimum design of a spur gear using a two level optimization approach

  • Brahim MAHIDDINI Laboratoire de Techniques Avancées de Fabrication et Contrôle, Ecole Militaire Polytechnique
  • Taha CHETTIBI Laboratoire de Mécanique des Structures, Ecole Militaire Polytechnique
  • Khaled BENFRIHA Laboratoire Conception des Produits et Innovation, Ecole Nationale Supérieure des Arts et Métiers
  • Améziane AOUSSAT Laboratoire Conception des Produits et Innovation, Ecole Nationale Supérieure des Arts et Métiers
Keywords: Spur gear, genetic algorithm, metamodel, optimum design

Abstract

In this paper, we present a two level optimization approach in order to enhance the design process of a one-stage speed reducer. The proposed design methodology is performed using genetic algorithms which are judiciously combined with the use of :i) analytical models (1stlevel) and ii) Finite Element Method (FEM)based models ( 2nd level), to evaluate design candidates. Indeed, the use of CAD-CAE tools to develop higher fidelity FEM models allows to re-evaluate the attained first level designs, while accounting for new design parameters and advanced aspects which have been ignored in the first level. In order to minimize the computational burden, a metamodel based optimization technique is adopted at this second level. To illustrate the efficiency of the proposed approach, a case study of a spur gear based reducer is presented where the design of experiments is built using Hypercube Latin Sampling and surrogate models are constructed using Radial Basic Functions.

Published
2019-08-28
Section
DESIGN AND OPTIMIZATION OF MECHANICAL SYSTEMS