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A classification of a family of 3-revolute (3R) positioning manipulators is established. This classification is based on the topology of their workspace. The workspace is characterized in a half-cross section by the singular curves of the…

Robotics · Computer Science 2007-05-23 Philippe Wenger , Maher Baili , Damien Chablat

The workspace topologies of a family of 3-revolute (3R) positioning manipulators are enumerated. The workspace is characterized in a half-cross section by the singular curves. The workspace topology is defined by the number of cusps that…

Robotics · Computer Science 2007-07-17 Maher Baili , Philippe Wenger , Damien Chablat

This paper investigates the cuspidal configurations of 3-RPR parallel manipulators that may appear on their singular surfaces in the joint space. Cusp points play an important role in the kinematic behavior of parallel manipulators since…

Robotics · Computer Science 2010-12-14 Guillaume Inria Moroz , Fabrice Rouiller , Damien Chablat , Philippe Wenger

A classification of a family of 3-revolute (3R) positining manipulators is established. This classification is based on the topology of their workspace. The workspace is characterized in a half-cross section by the singular curves. The…

Robotics · Computer Science 2007-07-20 Maher Baili , Philippe Wenger , Damien Chablat

This paper investigates the conditions in the design parameter space for the existence and distribution of the cusp locus for planar parallel manipulators. Cusp points make possible non-singular assembly-mode changing motion, which…

Robotics · Computer Science 2012-04-26 Montserrat Manubens , Guillaume Moroz , Damien Chablat , Philippe Wenger , Fabrice Rouillier

This article synthezises the most important results on the kinematics of cuspidal manipulators i.e. nonredundant manipulators that can change posture without meeting a singularity. The characteristic surfaces, the uniqueness domains and the…

Robotics · Computer Science 2010-02-10 Philippe Wenger

A family of 3R orthogonal manipulators without offset on the third body can be divided into exactly nine workspace topologies. The workspace is characterized in a half-cross section by the singular curves. The workspace topology is defined…

Robotics · Computer Science 2007-07-25 Maher Baili , Damien Chablat , Philippe Wenger

This paper presents a classification of generic 6-revolute jointed (6R) manipulators using homotopy class of their critical point manifold. A part of classification is listed in this paper because of the complexity of homotopy class of…

Robotics · Computer Science 2007-05-23 Ming-Zhe Chen

Cuspidal robots can travel from one inverse kinematic solution to another without meeting a singularity. The name cuspidal was coined based on the existence of a cusp point in the workspace of 3R serial robots. The existence of a cusp point…

This paper proposes a classification of three-revolute orthogonal manipulators that have at least one of their DH parameters equal to zero. This classification is based on the topology of their workspace. The workspace is characterized in a…

Robotics · Computer Science 2007-08-29 Mazen Zein , Philippe Wenger , Damien Chablat

This paper investigates the singular curves in two-dimensional slices of the joint space of a family of planar parallel manipulators. It focuses on special points, referred to as cusp points, which may appear on these curves. Cusp points…

Robotics · Computer Science 2007-07-10 Mazen Zein , Philippe Wenger , Damien Chablat

This paper investigates the singular curves in the joint space of a family of planar parallel manipulators. It focuses on special points, referred to as cusp points, which may appear on these curves. Cusp points play an important role in…

Robotics · Computer Science 2007-11-06 Mazen Zein , Philippe Wenger , Damien Chablat

This paper presents an algorithm for detecting and computing the cusp points in the joint space of 3-RPR planar parallel manipulators. In manipulator kinematics, cusp points are special points, which appear on the singular curves of the…

Robotics · Computer Science 2007-05-23 Mazen Zein , Philippe Wenger , Damien Chablat

This paper investigates the existence conditions of cusp points in the design parameter space of the R\underline{P}R-2P\underline{R}R parallel manipulators. Cusp points make possible non-singular assembly-mode changing motion, which can…

Robotics · Computer Science 2010-12-14 Guillaume Inria Moroz , Damien Chablat , Philippe Wenger , Fabrice Rouiller

This paper analyses the workspace of the three-revolute orthogonal manipulators that have at least one of their DH parameters equal to zero. These manipulators are classified into different groups with similar kinematic properties. The…

Robotics · Computer Science 2007-07-25 Mazen Zein , Philippe Wenger , Damien Chablat

Cuspidal robots are robots with at least two inverse kinematic solutions that can be connected by a singularity-free path. Deciding the cuspidality of generic 3R robots has been studied in the past, but extending the study to…

Symbolic Computation · Computer Science 2022-09-20 Damien Chablat , Rémi Prébet , Mohab Safey El Din , Durgesh Salunkhe , Philippe Wenger

Cusps and nodes on plane sections of the singularity locus in the joint space of parallel manipulators play an important role in nonsingular assembly-mode changing motions. This paper analyses in detail such points, both in the joint space…

Robotics · Computer Science 2011-06-07 Abdel Kader Zaiter , Philippe Wenger , Damien Chablat

A class of analytic planar 3-RPR manipulators is analyzed in this paper. These manipulators have congruent base and moving platforms and the moving platform is rotated of 180 deg about an axis in the plane. The forward kinematics is reduced…

Robotics · Computer Science 2009-09-03 Philippe Wenger , Damien Chablat

When moving from one arbitrary location at another, a parallel manipulator may change its assembly-mode without crossing a singularity. Because the non-singular change of assembly-mode cannot be simply detected, the actual assembly-mode…

Robotics · Computer Science 2008-12-18 Mazen Zein , Philippe Wenger , Damien Chablat

Cuspidal robots can move from one inverse or direct kinematic solution to another without ever passing through a singularity. These robots have remained unknown because almost all industrial robots do not have this feature. However, in…

Robotics · Computer Science 2022-10-12 Philippe Wenger , Damien Chablat
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