Kinematic analysis of bevel epicyclic gear trains using graph notation

Carl A. Nelson, Raymond J. Cipra

Research output: Contribution to conferencePaper

3 Citations (Scopus)

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)
Pages585-591
Number of pages7
StatePublished - Dec 1 2002
Event27th Biennial Mechanisms and Robotics Conference - Montreal, Que., Canada
Duration: Sep 29 2002Oct 2 2002

Conference

Conference27th Biennial Mechanisms and Robotics Conference
CountryCanada
CityMontreal, Que.
Period9/29/0210/2/02

Fingerprint

Epicyclic gears
Bevel gears
Kinematic Analysis
Notation
Kinematics
Collinear
Graph theory
Graph in graph theory
Gears
Output
Methodology
Demonstrate

Keywords

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

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Cite this

Nelson, C. A., & Cipra, R. J. (2002). Kinematic analysis of bevel epicyclic gear trains using graph notation. 585-591. Paper presented at 27th Biennial Mechanisms and Robotics Conference, Montreal, Que., Canada.

Kinematic analysis of bevel epicyclic gear trains using graph notation. / Nelson, Carl A.; Cipra, Raymond J.

2002. 585-591 Paper presented at 27th Biennial Mechanisms and Robotics Conference, Montreal, Que., Canada.

Research output: Contribution to conferencePaper

Nelson, CA & Cipra, RJ 2002, 'Kinematic analysis of bevel epicyclic gear trains using graph notation', Paper presented at 27th Biennial Mechanisms and Robotics Conference, Montreal, Que., Canada, 9/29/02 - 10/2/02 pp. 585-591.
Nelson CA, Cipra RJ. Kinematic analysis of bevel epicyclic gear trains using graph notation. 2002. Paper presented at 27th Biennial Mechanisms and Robotics Conference, Montreal, Que., Canada.
Nelson, Carl A. ; Cipra, Raymond J. / Kinematic analysis of bevel epicyclic gear trains using graph notation. Paper presented at 27th Biennial Mechanisms and Robotics Conference, Montreal, Que., Canada.7 p.
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