Position-Singularity Analysis of a Class of the 3/6-Gough-Stewart Manipulators Based on Singularity-Equivalent-Mechanism

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Position-Singularity Analysis of a Class of the 3/6-Gough-Stewart Manipulators based on Singularity-Equivalent-Mechanism

This paper addresses the problem of identifying the property of the singularity loci of a class of 3/6‐ Gough‐Stewart manipulators for general orientations in which the moving platform is an equilateral triangle and the base is a semiregular hexagon. After constructing the Jacobian matrix of this class of 3/6‐Gough‐Stewart manipulators according to the screw theory, a...

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In this paper we address the problem of identifying the property of the singularity loci of a class of 6/6-Gough–Stewart manipulators in which the moving and base platforms are two similar semiregular hexagons. After constructing the Jacobian matrix of this class of 6/6-Gough–Stewart manipulators according to the theory of statical equilibrium, we derive a cubic polynomial expression in the mov...

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In this paper, the singularity loci of the Gough-Stewart platform are studied and a graphical representation of these loci in the manipulator’s workspace is obtained. The algorithm presented is based on analytical expressions of the determinant of the Jacobian matrix, using two different approaches, namely, linear decomposition and cofactor expansion. The first approach is used to assess the ef...

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Article history: Received 19 August 2014 Received in revised form 19 September 2014 Accepted 29 September 2014 Available online 22 October 2014

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ژورنال

عنوان ژورنال: International Journal of Advanced Robotic Systems

سال: 2012

ISSN: 1729-8814,1729-8814

DOI: 10.5772/45664