Kinematic analysis of bevel epicyclic gear trains using graph notation

Carl A. Nelson, Raymond J. Cipra

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

A kinematic analysis technique is introduced to find the velocities of all links in bevel epicyclic gear trains. The method relies on previous work in graph theory. It improves on existing techniques used for analysis of planar geared mechanisms in its ability to accurately solve the kinematics of spatial geared mechanisms, particularly bevel gear trains. Computer software has been developed to demonstrate its usefulness. This discussion is limited to gear trains whose input and output axes are collinear, such as automotive automatic transmissions, although the methodology presented is readily extended to other cases besides the case of collinear input and output axes.

Original languageEnglish (US)
Title of host publicationASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Pages585-591
Number of pages7
StatePublished - 2002
Externally publishedYes
EventASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002 - Montreal, QC, Canada
Duration: Sep 29 2002Oct 2 2002

Publication series

NameASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Volume5

Conference

ConferenceASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
CountryCanada
CityMontreal, QC
Period9/29/0210/2/02

Keywords

  • Bevel-gear trains
  • Epicyclic gear trains
  • Graph notation
  • Kinematic analysis
  • Planetary gear trains
  • Spatial kinematics

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Information Systems
  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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