Redesign of a spatial gear pair using configuration spaces

Elisha Sacks*, Leo Joskowicz, Ralf Schultheiss, Uwe Hinze

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents an industrial case study in which a spatial higher pair is redesigned using our configuration space method of kinematic analysis. The task is to remove occasional blocking in an asynchronous reverse gear pair from a car transmission. A systematic kinematic analysis is required because the blocking configurations are unknown and because very few initial configurations cause blocking. We use our configuration space method of kinematic analysis to solve the problem. We determine why the gears block by constructing a series of two-dimensional configuration spaces that model the engagement kinematics. Blocking occurs when two consecutive pairs of teeth make contact during engagement. The gear angles at the contact determine whether or not the gears will block. Our analysis determines that blocking occurs in 4% of the angle space. Fine tuning the gear parameters reduces the range to 0.5%, but cannot eliminate the blocking. Removing every second gear tooth eliminates the blocking. The analysis results are consistent with the experimental data. The case study demonstrates that the configuration space method helps solve industrial problems that are outside the scope of prior work.

Original languageAmerican English
Title of host publicationASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Pages737-743
Number of pages7
StatePublished - 2002
EventASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002 - Montreal, QC, Canada
Duration: 29 Sep 20022 Oct 2002

Publication series

NameASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Volume2

Conference

ConferenceASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Country/TerritoryCanada
CityMontreal, QC
Period29/09/022/10/02

Bibliographical note

Funding Information:
Sacks was supported by NSF grants IIS-0082339 and CCR-9617600 and by the Purdue Center for Computational Image Analysis and Scientific Visualization. Sacks and Joskowicz were supported by a Ford University Research Grant, the Ford ADAPT 2000 project, and by grant 98/536 from the Israeli Academy of Science.

Keywords

  • Configuration space
  • Gear design
  • Parametric design
  • Spatial kinematic analysis

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