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Recursive modelling for the kinematics of a 3-PRP planar parallel robot is presented in this paper. Three planar chains connecting to the moving platform of the manipulator are located in a vertical plane. Knowing the motion of the…

Robotics · Computer Science 2009-04-02 Damien Chablat , Stefan Staicu

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

A family of reconfigurable parallel robots can change motion modes by passing through constraint singularities by locking and releasing some passive joints of the robot. This paper is about the kinematics, the workspace and singularity…

Robotics · Computer Science 2017-08-08 Damien Chablat , Xianwen Kong , Chengwei Zhang

Recursive matrix relations for the complete dynamics of a 3-PRP planar parallel robot are established in this paper. Three identical planar legs connecting to the moving platform are located in the same vertical plane. Knowing the motion of…

Robotics · Computer Science 2012-09-13 Stefan Staicu , Damien Chablat

The paper addresses kinematic and geometrical aspects of the Orthoglide, a three-DOF parallel mechanism. This machine consists of three fixed linear joints, which are mounted orthogonally, three identical legs and a mobile platform, which…

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

The aim of this paper is the kinematic study of a 3-RPR planar parallel manipulator where the three fixed revolute joints are actuated. The direct and inverse kinematic problem as well as the singular configuration is characterized. On…

Robotics · Computer Science 2007-08-30 Damien Chablat , Philippe Wenger , Ilian Bonev

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

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

This paper presents the kinematic analysis of the 3-PPPS parallel robot with an equilateral mobile platform and a U-shape base. The proposed design and appropriate selection of parameters allow to formulate simpler direct and inverse…

Robotics · Computer Science 2017-06-30 Damien Chablat , Luc Baron , Ranjan Jha

We present a Sequential Mobile Manipulation Planning (SMMP) framework that can solve long-horizon multi-step mobile manipulation tasks with coordinated whole-body motion, even when interacting with articulated objects. By abstracting…

Robotics · Computer Science 2025-08-27 Ziyuan Jiao , Yida Niu , Zeyu Zhang , Yangyang Wu , Yao Su , Yixin Zhu , Hangxin Liu , Song-Chun Zhu

The paper addresses kinematic and geometrical aspects of the Orthoglide, a three-DOF parallel mechanism. This machine consists of three fixed linear joints, which are mounted orthogonally, three identical legs and a mobile platform, which…

Robotics · Computer Science 2007-08-28 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

The circular restricted three-body problem (CR3BP) with solar radiation pressure (SRP) has often been analyzed with assumptions made on a spacecraft's attitude, such that the problem remains Hamiltonian. These assumptions are…

Dynamical Systems · Mathematics 2024-02-13 Hailee Hettrick , David W. Miller , Begum Cannataro

The paper derives the inverse and forward kinematic equations of a spatial three-degree-of-freedom parallel mechanism, which is the parallel module of a hybrid serial-parallel 5-axis machine tool. This parallel mechanism consists of a…

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

Robots exhibit a rich variety of symmetries arising from their mechanical structure and the properties of their tasks. Although many robotics problems exhibit several symmetries simultaneously, existing approaches typically treat them in…

Robotics · Computer Science 2026-05-22 Loizos Hadjiloizou , Rodrigo Pérez-Dattari , Noémie Jaquier

This study presents a systematic enumeration of spherical ($SO(3)$) type parallel robots' variants using an analytical velocity-level approach. These robots are known for their ability to perform arbitrary rotations around a fixed point,…

Robotics · Computer Science 2024-03-07 Hassen Nigatu , Li Jihao , Gaokun Shi , Guodong Lu , Huixu Dong

This article presents a new variable actuation mechanism based on the 3-RPR parallel robot. This mechanismis an evolution of the NaVARo robot, a 3-RRR parallel robot, for which the second revolute joint of the threelegs is replaced by a…

Robotics · Computer Science 2019-08-07 Damien Chablat , Luc Rolland

The article presents an analysis of the trends in the development of kinematic structures of modern machine-building technological equipment. The prospects of using machines with parallel kinematics in processing, measuring and handling…

Robotics · Computer Science 2020-12-16 M Kubrikov , I Pikalov , M Saramud

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

This article dives into the use of a 3-RRR Spherical Parallel Manipulator (SPM) for the purpose of inertial Line Of Sight (LOS) stabilization. Such a parallel robot provides three Degrees of Freedom (DOF) in orientation and is studied from…

Robotics · Computer Science 2024-01-03 Alexandre Le , Guillaume Rance , Fabrice Rouillier , Damien Chablat

This work deals with models described by three real scalar fields in one spatial dimension. We study the case where two of the three fields engender kinematical modifications, which respond as geometrical constrictions, that can be used to…

High Energy Physics - Theory · Physics 2024-04-10 D. Bazeia , G. S. Santiago
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