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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 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 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

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

The Inverse Kinematics (IK) problem is to nd robot control parameters to bring it into the desired position under the kinematics and collision constraints. We present a global solution to the optimal IK problem for a general serial 7DOF…

Robotics · Computer Science 2020-07-27 Pavel Trutman , Safey El Din Mohab , Didier Henrion , Tomas Pajdla

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

We propose an effective method for solving the inverse kinematic problem of a specific model of 6-degree-of-freedom (6-DOF) robot manipulator using computer algebra. It is known that when the rotation axes of three consecutive rotational…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa

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…

Continuum manipulators have gained significant attention as a promising alternative to rigid manipulators, offering notable advantages in terms of flexibility and adaptability within intricate workspace. However, the broader application of…

Robotics · Computer Science 2024-10-29 Yinan Sun , Sai Wang

The paper presents the Inverse Kinematics (IK) close form derivation steps using combination of analytical and geometric techniques for the UR robot. The innovative application of this work is used in the precise positioning of puncture…

Robotics · Computer Science 2019-03-07 Omar Abdelaziz , Minzhou Luo , Guanwu Jiang , Saixuan Chen

This paper proposes a method to calculate the largest Regular Dextrous Workspace (RDW) of some types of three-revolute orthogonal manipulators that have at least one of their DH parameters equal to zero. Then a new performance index based…

Robotics · Computer Science 2007-07-17 Mazen Zein , Philippe Wenger , Damien Chablat

Solving the analytical inverse kinematics (IK) of redundant manipulators in real time is a difficult problem in robotics since its solution for a given target pose is not unique. Moreover, choosing the optimal IK solution with respect to…

Robotics · Computer Science 2023-03-28 Minh Nhat Vu , Florian Beck , Michael Schwegel , Christian Hartl-Nesic , Anh Nguyen , Andreas Kugi

This paper presents the inverse kinematic analysis and parameters identification of a novel aerial manipulation system. This system consists of 2-link manipulator attached to the bottom of a quadrotor. This new system presents a solution…

Robotics · Computer Science 2020-04-14 Ahmed Khalifa , Mohamed Fanni

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

This paper focuses on the kinematic properties of a new three-degree-of-freedom hybrid manipulator. This manipulator is obtained by adding in series to a five-bar planar mechanism (similar to the one studied by Bajpai and Roth) a third…

Robotics · Computer Science 2007-05-23 Damien Chablat , Philippe Wenger , Jorge Angeles

Inverse kinematics (IK) is the problem of finding robot joint configurations that satisfy constraints on the position or pose of one or more end-effectors. For robots with redundant degrees of freedom, there is often an infinite, nonconvex…

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

Presented in this paper is the kinematic analysis of a symmetrical three-degree-of-freedom planar parallel manipulator. In opposite to serial manipulators, parallel manipulators can admit not only multiple inverse kinematic solutions, but…

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

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

Recursive matrix relations for kinematics and dynamics of the Orthoglide parallel robot having three concurrent prismatic actuators are established in this paper. These are arranged according to the Cartesian coordinate system with fixed…

Robotics · Computer Science 2009-10-21 Damien Chablat , Philippe Wenger , Stefan Staicu
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