2012
DOI: 10.1115/1.4005336
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Singularity Conditions of 3T1R Parallel Manipulators With Identical Limb Structures

Abstract: This paper deals with the singularity analysis of parallel manipulators with identical limb structures performing Schönflies motions, namely, three independent translations and one rotation about an axis of fixed direction (3T1R

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Cited by 57 publications
(37 citation statements)
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“…First of all, the robot joints positions will be optimized to reduce the singular configurations and enlarge the Haouas 11 JMR-17-1193 robot workspace. This can be done thanks to the kinematic singularities analysis of the robot using screw theory and Grassmann-Cayley algebra (GCA) [30]. To do so, existing methods will have to be adapted to this class of robots because of the 7 DoF configurable platform (more than 6 DoF), whose motion cannot be represented by a Spatial Euclidian Group element (SE3).…”
Section: Discussionmentioning
confidence: 99%
“…First of all, the robot joints positions will be optimized to reduce the singular configurations and enlarge the Haouas 11 JMR-17-1193 robot workspace. This can be done thanks to the kinematic singularities analysis of the robot using screw theory and Grassmann-Cayley algebra (GCA) [30]. To do so, existing methods will have to be adapted to this class of robots because of the 7 DoF configurable platform (more than 6 DoF), whose motion cannot be represented by a Spatial Euclidian Group element (SE3).…”
Section: Discussionmentioning
confidence: 99%
“…(10) are without units while the third has units of length. A simple method for rendering these units homogeneous is to divide the elements of the third column by a characteristic length (Ma and Angeles, 1991a;Arsenault and Boudreau, 2004). For the considered 3-PPR PKM, side length l is chosen as the characteristic length.…”
Section: Implication Of Shape Singularitymentioning
confidence: 99%
“…Bonev et al (2003) applied screw theory in the singularity analysis of 3-DOF planar PKMs. Other researches on singularity analysis can be found in the works of Amine et al (2012); Liu et al (2012); Zarkandi (2011); Fang et al 2012; Gan et al (2013); Wolf and Glozman (2011); Alici and Shirinzadeh (2004); Wang and Gosselin (1997); Romdhane et al (2002); Bandyopadhyay and Ghosal (2004); , and Kim and Chung (1999).…”
Section: Introductionmentioning
confidence: 99%
“…In a given configuration, screw theory (Ball 1900;Hunt 1978) can be used to determine the kinetostatic behaviour of a LMPM by determining the constraint and actuation wrenches applied on the MP. The wrench graph and the twist graph are useful tools to visualize these screw systems in the projective space (Amine et al 2012). The motion of the MP is thus described locally by the twist system of the MP in the configuration at hand.…”
Section: Local Versus Global Kinematic Analysismentioning
confidence: 99%