Optimization of the workspace of a 3R planar parallel manipulator

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Abstract

This paper presents a fast and reliable method to optimize the workspace of a 3R planar parallel manipulator. The ratio between the lengths of the first two links of each limb of a 3R parallel manipulator is changed whereas the other parameters and the outer boundary of the whole manipulator are kept the same during the optimization process. In this method, first, enough number (not necessarily very large) of points is generated in the workspace and then techniques of computational geometry are applied to determine the boundary of the workspace. The modified gift wrapper algorithm is used to determine the boundary. It is shown that, for a given mechanism, increasing the ratio of the length of the second link relative to the length of the first link increases the workspace. However, at certain value, gaps start to appear within the workspace which mean discontinuity in the workspace. Increasing the ratio, the workspace becomes separated regions.

Original languageEnglish
Title of host publicationICMEE 2010 - 2010 2nd International Conference on Mechanical and Electronics Engineering, Proceedings
PagesV2429-V2433
DOIs
StatePublished - 2010
Event2010 2nd International Conference on Mechanical and Electronics Engineering, ICMEE 2010 - Kyoto, Japan
Duration: 1 Aug 20103 Aug 2010

Publication series

NameICMEE 2010 - 2010 2nd International Conference on Mechanical and Electronics Engineering, Proceedings
Volume2

Conference

Conference2010 2nd International Conference on Mechanical and Electronics Engineering, ICMEE 2010
Country/TerritoryJapan
CityKyoto
Period1/08/103/08/10

Keywords

  • Inverse kinematics
  • Optimization
  • Parallel manipulators
  • Workspace

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