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This paper presents a new approach to the velocity and acceleration analyses 3DOF parallel manipulators. Building on the definition of the ‘acceleration motor’, the forward and inverse velocity and acceleration equations are formulated such that the relevant analysis 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-PRS parallel manipulator with coupled translational and rotational motion capabilities is analyzed to illustrate the generality and effectiveness of this approach.
Ajit Pal Singh. 2013. \u201cAcceleration Analysis of 3DOF Parallel Manipulators\u201d. Global Journal of Research in Engineering - A : Mechanical & Mechanics GJRE-A Volume 12 (GJRE Volume 12 Issue A7): .
Crossref Journal DOI 10.17406/gjre
Print ISSN 0975-5861
e-ISSN 2249-4596
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Total Score: 103
Country: India
Subject: Global Journal of Research in Engineering - A : Mechanical & Mechanics
Authors: Mr. Hassen Nigatu, Ajit Pal Singh, Solomon Seid (PhD/Dr. count: 0)
View Count (all-time): 199
Total Views (Real + Logic): 5161
Total Downloads (simulated): 2662
Publish Date: 2013 01, Tue
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This paper presents a new approach to the velocity and acceleration analyses 3DOF parallel manipulators. Building on the definition of the ‘acceleration motor’, the forward and inverse velocity and acceleration equations are formulated such that the relevant analysis 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-PRS parallel manipulator with coupled translational and rotational motion capabilities is analyzed to illustrate the generality and effectiveness of this approach.
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