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Automatic Determination of Transmission Powerflow Mechanizability Using Graph Theory

[+] Author Affiliations
Norman K. Bucknor

General Motors Research & Development, Warren, MI

Paper No. DETC2007-34018, pp. 1033-1042; 10 pages
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 7: 10th International Power Transmission and Gearing Conference
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4808-6 | eISBN: 0-7918-3806-4
  • Copyright © 2007 by GMGTO, Inc.


A methodology has been developed to automatically generate planetary geartrain topologies based on criteria such as the number of desired speed ratios and the number of torque transmitting mechanisms [1]. This paper describes an algorithm and computer code for automatically determining the mechanizability of the candidate geartrains. The mathematical description of each topology is interpreted as a graph, a collection of vertices and connecting edges, which can then be tested for planarity using graph-processing algorithms. A planar graph implies mechanizability. Using another algorithm based on graph theory, the computer code also detects and eliminates duplicate designs that may be hard to detect via visual inspection. The computer program significantly reduces the time needed to manually process design data sets by eliminating those design candidates that are infeasible.

Copyright © 2007 by GMGTO, Inc.



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