Numerical algebraic geometry and algebraic kinematics

CW Wampler, AJ Sommese - Acta Numerica, 2011 - cambridge.org
In this article, the basic constructs of algebraic kinematics (links, joints, and mechanism
spaces) are introduced. This provides a common schema for many kinds of problems that …

Jacobian analysis of limited-DOF parallel manipulators

SA Joshi, LW Tsai - J. Mech. Des., 2002 - asmedigitalcollection.asme.org
This paper presents a methodology for the Jacobian analysis of limited degrees-of-freedom
(DOF) parallel manipulators. A limited-DOF parallel manipulator is a spatial parallel …

General methodology for type synthesis of symmetrical lower-mobility parallel manipulators and several novel manipulators

Z Huang, QC Li - The International Journal of Robotics …, 2002 - journals.sagepub.com
In the area of parallel robots, the use of lower-mobility parallel manipulators for many tasks
requiring fewer than six degrees of freedom (DoF) has drawn a lot of interest. This paper …

Constraint singularities of parallel mechanisms

D Zlatanov, IA Bonev… - Proceedings 2002 IEEE …, 2002 - ieeexplore.ieee.org
Constraint singularities of parallel mechanisms Page 1 Proceedings of the 2002 IEEE
International Conference on Robotics 8 Automation Washington, DC - May 2002 Constraint …

Architecture optimization of a 3-DOF translational parallel mechanism for machining applications, the Orthoglide

D Chablat, P Wenger - IEEE Transactions on Robotics and …, 2003 - ieeexplore.ieee.org
This paper addresses the architecture optimization of a three-degree-of-freedom
translational parallel mechanism designed for machining applications. The design …

Kinematics and Optimization of a Spatial 3-UPU Parallel Manipulator

LW Tsai, S Joshi - J. Mech. Des., 2000 - asmedigitalcollection.asme.org
The structural characteristics associated with parallel manipulators are investigated. Using
these characteristics a class of 3 degree-of-freedom parallel manipulators are enumerated …

Kinematic analysis of a 3-PRS parallel manipulator

Y Li, Q Xu - Robotics and Computer-Integrated Manufacturing, 2007 - Elsevier
Although the current 3-PRS parallel manipulators have different methods on the
arrangement of actuators, they may be considered as the same kind of mechanism since …

Design optimization of a Cartesian parallel manipulator

HS Kim, LW Tsai - J. Mech. Des., 2003 - asmedigitalcollection.asme.org
This paper introduces a 3-DOF translational parallel manipulator called Cartesian Parallel
Manipulator (CPM). The manipulator consists of a moving platform that is connected to a …

Kinematics and singularity analysis of a novel type of 3-CRR 3-DOF translational parallel manipulator

X Kong, CM Gosselin - The International Journal of Robotics …, 2002 - journals.sagepub.com
A new three-degrees-of-freedom (3-DOF) translational parallel manipulator (TPM) with
linear actuators, ie, 3-CRR TPM, is first proposed. The rotation singularity analysis, the …

Type synthesis of 3-DOF translational parallel manipulators based on screw theory

X Kong, CM Gosselin - J. Mech. Des., 2004 - asmedigitalcollection.asme.org
A method is proposed for the type synthesis of 3-DOF (degree-of-freedom) translational
parallel manipulators (TPMs) based on screw theory. The wrench systems of a translational …