Fillet shape optimization for gear teeth

Hansong Xiao, Wieslaw Zaton, Jean W. Zu

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

9 Scopus citations

Abstract

In this paper, the fillet shape optimization problem is studied using a new shape optimization approach. In order to achieve the optimal performance of gear mechanism, the maximum bending stress is minimized in the fillet region. In the proposed shape optimization approach, there are two new contributions: the application of Boundary Element method (BEM) and B-spline representation of the fillet shape. A Boundary Element model is established for the gear tooth and the bending stress in the fillet region is evaluated by a Boundary Element solver. The use of BEM in the approach instead of the commonly used Finite Element Method (FEM) has significant importance for shape optimization since BEM usually provides more accurate structural responses on the boundary and the remeshing procedure is much easier. For the curve representation of the fillet profile, the uniform cubic B-splines are employed in fillet profile synthesis. The fact that B-spline curves are used to construct the design boundary overcomes limitations resulted from the discrete nodes representation. Therefore, this new approach combines both the BEM solver and the B-spline technique in the shape optimization process. In an example for numerical simulation, a non-involute gear tooth profile is used and the results show that the new shape optimization technique is efficient for optimizing the performance of the gear mechanism. Moreover, the proposed shape optimization approach is able to provide reliable solutions for optimizing a large variety of the non-standard gear tooth profiles.

Original languageEnglish
Title of host publicationProc. of the ASME Int. Des. Eng. Techn. Conf. and Comput. and Inf. in Eng. Conf. - DETC2005
Subtitle of host publication17th International Conference on Design Theory and Methodology. Power Transmission and Gearing Conference.
Pages815-820
Number of pages6
DOIs
StatePublished - 2005
EventDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Long Beahc, CA, United States
Duration: 24 Sep 200528 Sep 2005

Publication series

NameProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
Volume5

Conference

ConferenceDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Country/TerritoryUnited States
CityLong Beahc, CA
Period24/09/0528/09/05

Keywords

  • Bending Stress Minimization
  • Boundary
  • Cubic B-spline
  • Element
  • Fillet Shape Optimization
  • Method

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