Acceleration Analysis of 3DOF Parallel Manipulators

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Ajit Pal Singh
Ajit Pal Singh
σ
Mr. Hassen Nigatu
Mr. Hassen Nigatu
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Solomon Seid
Solomon Seid
α Adama Science and Technology University

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Acceleration Analysis of 3DOF Parallel Manipulators

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Abstract

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.

References

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

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): .

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Version of record

v1.2

Issue date

January 8, 2013

Language
en
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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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Acceleration Analysis of 3DOF Parallel Manipulators

Mr. Hassen Nigatu
Mr. Hassen Nigatu
Ajit Pal Singh
Ajit Pal Singh Adama Science and Technology University
Solomon Seid
Solomon Seid

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