Classification of screw systems composed of three planar pencils of lines for singularity analysis of parallel mechanisms

Xianwen Kong, Andrew Johnson

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Screw systems composed of (the sum of) three planar pencils of lines are closely related to the singularity analysis of a number of three-legged parallel manipulators (PMs) in which the passive joints in each leg are a spherical joint and a single-DOF (degree of freedom) kinematic joint or generalized kinematic joint. This paper systematically classifies the screw systems composed of three planar pencils of lines based on the intersection of two planar pencils of lines, the classification of screw systems of order 2, and the reciprocal screw system of the three planar pencils of lines. The classification in this paper is more comprehensive than those in the literature. The above results are illustrated using CAD figures. This work may help readers better understand the geometric characteristics of singular configurations of a number of three-legged parallel manipulators.
Original languageEnglish
Article number021008
Number of pages10
JournalJournal of Mechanisms and Robotics
Volume6
Issue number2
DOIs
Publication statusPublished - 6 Mar 2014

Keywords

  • Parallel mechanism
  • Screw theory
  • Singularity analysis
  • Reciprocal screws

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