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Inverse Kinematics and Motion Simulation of a 2-DOF Parallel Manipulator with 3-PUP Legs

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Abstract

This paper presents a position analysis of a novel parallel manipulator with three \({\underline P}UP\) legs. By investigating the loop-closure equation for the manipulator, the paper presents a closed-form solution of the inverse kinematics problem. The platform of the parallel mechanism under investigation has two independent degrees of freedom, namely, a translation and a rotation about a skew axis. The paper also shows that the platform is subjected to one parasitic motion, which is an additional translation. The paper validates the obtained closed-form equations with a numerical example. Finally, the results of this example are compared with the results of a kinematics simulation using a commercially available software package.

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© 2009 Springer-Verlag Berlin Heidelberg

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Rodriguez-Leal, E., Dai, J.S., Pennock, G.R. (2009). Inverse Kinematics and Motion Simulation of a 2-DOF Parallel Manipulator with 3-PUP Legs. In: Kecskeméthy, A., Müller, A. (eds) Computational Kinematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01947-0_11

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  • DOI: https://doi.org/10.1007/978-3-642-01947-0_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01946-3

  • Online ISBN: 978-3-642-01947-0

  • eBook Packages: EngineeringEngineering (R0)

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