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  HomeContents of Chinese Journal of Mechanical Engineering (English Edition),2006 No.1PROPERTY IDENTIFICATION OF SINGULARITY LOCI OF GOUGH-STEWART MANIPULATOR

CAO Yi

School of Mechanical Engineering,

Southern Yangtze University,

Wuxi 214122, China

 

HUANG Zhen

 

DING Huafeng

Robotics Research Center,

Yanshan University,

Qinhuangdao 066004, China

 

ZHOU Hui

School of Mechanical Engineering,

Southern Yangtze University,

Wuxi 214122, China

 

 

PROPERTY IDENTIFICATION OF
SINGULARITY LOCI OF GOUGH-
STEWART MANIPULATOR*

 

Abstract: The problem of identifying the property of singularity loci of Gough-Stewart manipulators is addressed. After constructing the Jacobian matrix of the Gough-Stewart manipulator, a cubic polynomial expression in the mobile platform position parameters, which represents the constant- orientation singularity locus of the manipulator, is derived. Graphical representations of the singularity locus of the manipulator for different orientations are illustrated with examples. Further, the singularity locus of the manipulator in the principal-section, where the mobile platform lies, is analyzed. It shows that singularity loci of the manipulator in parallel principal-sections are all quadratic expressions including a parabola, four pairs of intersecting straight lines and infinite hyperbolas. Their geometric and kinematic properties are also researched as well.

Key words: Gough-Stewart manipulator  Singularity locus  Property identification

 


* This project is supported by National Natural Science Foundation of China (No.50275129). Received March 29, 2005; received in revised form November 8, 2005; accepted December 1, 2005

 

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