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

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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.