Advances in Robot Kinematics: Analysis and Control 1998
DOI: 10.1007/978-94-015-9064-8_5
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A Translational 3-dof Parallel Manipulator

Abstract: This paper presents a new architecture of a three degree-of-freedom parallel manipulator that, if properly assembled, exhibits pure translational motion of the output link (platform) with respect to the frame (base). To prove the existence of a pure translational motion a mobility analysis of the manipulator has been carried out. Moreover, a singularity analysis has also been conducted that shows the occurrence of configurations of the manipulator where the pure translational feature is no longer controllable.… Show more

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Cited by 107 publications
(36 citation statements)
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“…Gosselin and Kong [10] presented a 3-DOF translational parallel robot, with fully decoupled input-output equations, in a Canadian provisional patent application. Di Gregorio and Parenti Castelli [6] presented a 3-DOF parallel robot with three RRPRR legs. They presented the kinematic model and the singularity analysis for this robot.…”
Section: -Dof Translational Parallel Manipulatorsmentioning
confidence: 99%
“…Gosselin and Kong [10] presented a 3-DOF translational parallel robot, with fully decoupled input-output equations, in a Canadian provisional patent application. Di Gregorio and Parenti Castelli [6] presented a 3-DOF parallel robot with three RRPRR legs. They presented the kinematic model and the singularity analysis for this robot.…”
Section: -Dof Translational Parallel Manipulatorsmentioning
confidence: 99%
“…(3) 3 4 T : Rotation θ 3 of F 4 with respect to F 3 about X 3 axes (Torsional backlash error). (4) 4 5 T : Translation of F 5 with respect to F 4 along X 4 axes (Prismatic joint). (5) 5 6 T : Rotation θ 5 of F 6 with respect to F 5 about Z 5 axes (Passive rotation).…”
Section: Error Analysismentioning
confidence: 99%
“…The fully parallel mechanism exhibits high stiffness in most of the mechanism workspace. 1 There were interesting theoretical analyses, [1][2][3][4][5] which made a strong case for feasibility of simple and practical 3-DOF, fully parallel mechanisms and have come to be known as 3-UPU parallel mechanisms. The 3-UPU mechanism is the particular mechanism of the most generalized 3-RRPRR mechanism, wherein in the first and last, two individual revolute joints are replaced with universal joints, respectively.…”
Section: Introductionmentioning
confidence: 99%
“…In the literature, the analyses that bring to identify such topologies have been mainly addressed through three different approaches: (i) group theory (Hervé 1978(Hervé , 1995(Hervé , 1999(Hervé , 2004Hervé & Sparacino 1991;Karouia & Hervé 2000Huynh & Hervé 2005;Lee & Hervé 2006;Rico et al 2006), (ii) screw theory (Tsai 1999;Fang & Tsai 2002;Frisoli et al 2000;Kong & Gosselin 2002, 2005Huang & Li 2002Carricato 2005) and (iii) velocity-loop equations (Di Gregorio & Parenti-Castelli 1998;Di Gregorio 2001a, 2001bCarricato & Parenti-Castelli 2002. The first approach (group theory) determines the generic {L j } by composing the set of motions generated by each joint of the kinematic chain that is candidate to be a limb, and, then, searches for the geometric conditions the potential limb must satisfy in order to make a subset of an assigned motion subgroup of {D} be a subset of {L j }.…”
Section: Determination Of Limbs' Topologies For An Lm-pmmentioning
confidence: 99%