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An approach for acceleration analysis of lower mobility parallel manipulators

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Liu, Haitao, Huang, T. (Tian) and Chetwynd, D. G. (Derek G.), 1948-. (2011) An approach for acceleration analysis of lower mobility parallel manipulators. Journal of Mechanisms and Robotics, Vol.3 (No.1). 011013. ISSN 19424302

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Official URL: http://dx.doi.org/10.1115/1.4003271

Abstract

This paper presents a new approach to the velocity and acceleration analyses of lower mobility parallel manipulators. Building on the definition of the "acceleration motor," the forward and inverse velocity and acceleration equations are formulated such that the relevant analyses can be integrated under a unified framework that is based on the generalized Jacobian. A new Hessian matrix of serial kinematic chains (or limbs) is developed in an explicit and compact form using Lie brackets. This idea is then extended to cover parallel manipulators by considering the loop closure constraints. A 3-(P) under bar RS parallel manipulator with coupled translational and rotational motion capabilities is analyzed to illustrate the generality and effectiveness of this approach. [DOI: 10.1115/1.4003271]

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
T Technology > TJ Mechanical engineering and machinery
Divisions: Faculty of Science > Engineering
Library of Congress Subject Headings (LCSH): Manipulators (Mechanism), Acceleration (Mechanics), Machinery, Kinematics of, Screws, Theory of
Journal or Publication Title: Journal of Mechanisms and Robotics
Publisher: A S M E International
ISSN: 19424302
Date: February 2011
Volume: Vol.3
Number: No.1
Page Range: 011013
Identification Number: 10.1115/1.4003271
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Guo jia zi ran ke xue ji jin wei yuan hui (China) [National Natural Science Foundation of China] (NSFC)
Grant number: 50535010 (NSFC), 50775158 (NSFC)
URI: http://wrap.warwick.ac.uk/id/eprint/39066

Data sourced from Thomson Reuters' Web of Knowledge

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