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The subject of this paper is a special class of parallel manipulators. First, we analyze a family of three-degree-of-freedom manipulators. Two Jacobian matrices appear in the kinematic relations between the joint-rate and the…

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

The subject of this paper is a special class of three-degree-of-freedom parallel manipulators. The singular configurations of the two Jacobian matrices are first studied. The isotropic configurations are then found based on the…

Robotics · Computer Science 2007-08-30 Damien Chablat , Philippe Wenger , Stéphane Caro , Jorge Angeles

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

Various 6-degree-of-freedom (DOF) and 7-DOF manipulators have been developed to date. Over a long history, their joint configurations and link length ratios have been determined empirically. In recent years, the development of robotic…

Robotics · Computer Science 2026-01-07 Kento Kawaharazuka , Keita Yoneda , Takahiro Hattori , Shintaro Inoue , Kei Okada

Various performance indices are used for the design of serial manipulators. One method of optimization relies on the condition number of the Jacobian matrix. The minimization of the condition number leads, under certain conditions, to…

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

This paper characterizes geometrically the singularities of limited DOF parallel manipulators. The geometric conditions associated with the dependency of six Pl\"ucker vector of lines (finite and infinite) constituting the rows of the…

Robotics · Computer Science 2008-09-19 Daniel Kanaan , Philippe Wenger , Damien Chablat

A force balanced manipulator design based on the closed chain planar five bar linkage is developed and experimentally validated. We present 2 variants as a modular design: Forbal-2, a planar 2-DOF manipulator, and its extension to 5-DOF…

Robotics · Computer Science 2025-09-09 Yash Vyas , Matteo Bottin

This study is on the enumeration of spatial robotic manipulators, which is an essential basis for a companion study on dimensional synthesis, both of which together present a wider utility in manipulator synthesis. The enumeration of…

Robotics · Computer Science 2024-05-07 Akkarapakam Suneesh Jacob , Bhaskar Dasgupta , Rituparna Datta

A linkage mechanism consists of rigid bodies assembled by joints which can be used to translate and transfer motion from one form in one place to another. In this paper, we are particularly interested in a family of spacial linkage…

Exactly Solvable and Integrable Systems · Physics 2019-09-30 Shizuo Kaji , Kenji Kajiwara , Hyeongki Park

An asymmetric two-link robot supported atop a flat platform by wheels that roll and pivot freely, but do not slip laterally, will develop forward momentum if the joint between the links is actuated internally. In particular, oscillations in…

Robotics · Computer Science 2026-04-27 Hamidreza Moradi , Scott David Kelly

A closed linkage mechanism in three-dimensional space is an object comprising rigid bodies connected with hinges in a circular form like a rosary. Such linkages include Bricard6R and Bennett4R. To design such a closed linkage, it is…

History and Overview · Mathematics 2019-10-01 Shizuo Kaji

Networks of rigid bars connected by joints, termed linkages, provide a minimal framework to design robotic arms and mechanical metamaterials built out of folding components. Here, we investigate a chain-like linkage that, according to…

Soft Condensed Matter · Physics 2015-02-05 Bryan Gin-ge Chen , Nitin Upadhyaya , Vincenzo Vitelli

The paper discusses the kinematics of manipulators builts of planar closed kinematic chains. A special kinematic scheme is extracted from the array of these mechanisms that looks the most promising for the creation of different types of…

Robotics · Computer Science 2007-07-13 Leonid Slutski , Damien Chablat , Jorge Angeles

We consider complex-balanced mass-action systems, or toric dynamical systems. They are remarkably stable polynomial dynamical systems arising from reaction networks seen as Euclidean embedded graphs. We study the moduli spaces of toric…

Dynamical Systems · Mathematics 2023-05-03 Gheorghe Craciun , Jiaxin Jin , Miruna-Stefana Sorea

The present paper is an extension of 'cond-mat/0312673'. The construction of a hybrid discrete-continuous model of layered superconductors is presented. The model bases on the classic Lawrence-Doniach scenario with admitting, however,…

Superconductivity · Physics 2007-05-23 M. Sztyren

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

This thesis introduces a novel quadrotor manipulation system that consists of 2-link manipulator attached to the bottom of a quadrotor. This new system presents a solution for the drawbacks found in the current quadrotor manipulation system…

Robotics · Computer Science 2019-04-11 Ahmed Khalifa

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

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

Exploration of various applications is the frontier of research on inflatable robots. We proposed an articulated robots consisting of multiple pneumatic bladder links connected by rolling contact joints called Hillberry joints. The bladder…

Robotics · Computer Science 2025-12-24 Katsu Uchiyama , Ryuma Niiyama
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