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Engineering with Computers

, Volume 16, Issue 2, pp 117–130 | Cite as

Using the Skeleton Method to Define a Preliminary Geometrical Model for Three-Dimensional Speed Reducers

  • J.C. Fauroux
  • M. Sartor
  • M. Paredes

Abstract.

This paper deals with the first design phase of three-dimensional speed reducers. Concepts to help designers during the entry-level model definition are presented and, more particularly, those related to the task of geometrical synthesis. From these principles, a specific CAD tool has been built and is also described. A rough model, called a skeleton, is introduced to represent each conventional reducing stage category, thus enabling the automatic formation of entire geometrical models of speed reducers. Shaft orientations and positions are calculated from products of transformation matrices, in the same way as for spatial kinematic chain closure conventional problems. Optimisation techniques are used to obtain a preliminary dimensioning of the structure. The numerical processing is achieved progressively in three steps in order to improve the final convergence and, if necessary, to enlighten further the designer on failure origins within specification data. Three examples are given to illustrate both the creation of the geometrical model and the way results are obtained.

Keywords. 3D speed reducer design; Closed-loop chain; Geometrical model optimisation; Mechanism synthesis; Skeleton 

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Copyright information

© Springer-Verlag London Limited 2000

Authors and Affiliations

  • J.C. Fauroux
    • 1
  • M. Sartor
    • 2
  • M. Paredes
    • 2
  1. 1.Laboratoire de Recherche et Applications en Mécanique Avancée (LaRAMA), Institut Francais de Mécanique Avancée (IFMA), Aubière, FranceFR
  2. 2.Laboratoire de Génie Mécanique de Toulouse (LGMT), Institut National des Sciences Appliquées (INSA),Toulouse, FranceFR

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