Similarity and equivalence of nutating mechanisms to bevel epicyclic gear trains

Carl A. Nelson, Raymond J. Cipra

Research output: Contribution to conferencePaper

Abstract

This paper addresses similarities between various nutating or wobbling mechanisms, especially kinematic similarities. A case is made for the generalization of several mechanisms into a mechanism "class" having common kinematic characteristics. This mechanism class is shown to be typified by bevel epicyclic gear trains. It is proposed that not only kinematic analysis, but static-force, power-flow, and efficiency analyses of mechanisms belonging to this "class" can be simplified by modeling them as bevel-gear trains. Simplified kinematic, force, and efficiency analyses are demonstrated for a novel wobbling speed reducer using this concept of "equivalent" geared mechanisms. The reduction in complexity of these analyses is the main motivation for this work.

Original languageEnglish (US)
Pages1305-1313
Number of pages9
StatePublished - Dec 1 2003
Event2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Chicago, IL, United States
Duration: Sep 2 2003Sep 6 2003

Conference

Conference2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference
CountryUnited States
CityChicago, IL
Period9/2/039/6/03

Fingerprint

Epicyclic gears
Bevel gears
Kinematics
Equivalence
Speed reducers
Static analysis
Kinematic Analysis
Power Flow
Similarity
Modeling

Keywords

  • Bevel gear trains
  • Efficiency analysis
  • Epicyclic gear trains
  • Equivalent mechanisms
  • Kinematic analysis
  • Nutating mechanisms
  • Power-flow analysis
  • Static-force analysis
  • Wobbling mechanisms

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. (2003). Similarity and equivalence of nutating mechanisms to bevel epicyclic gear trains. 1305-1313. Paper presented at 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, IL, United States.

Similarity and equivalence of nutating mechanisms to bevel epicyclic gear trains. / Nelson, Carl A.; Cipra, Raymond J.

2003. 1305-1313 Paper presented at 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, IL, United States.

Research output: Contribution to conferencePaper

Nelson, CA & Cipra, RJ 2003, 'Similarity and equivalence of nutating mechanisms to bevel epicyclic gear trains', Paper presented at 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, IL, United States, 9/2/03 - 9/6/03 pp. 1305-1313.
Nelson CA, Cipra RJ. Similarity and equivalence of nutating mechanisms to bevel epicyclic gear trains. 2003. Paper presented at 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, IL, United States.
Nelson, Carl A. ; Cipra, Raymond J. / Similarity and equivalence of nutating mechanisms to bevel epicyclic gear trains. Paper presented at 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, IL, United States.9 p.
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