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Position Kinematics of a 3-RRS Parallel Manipulator

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ROMANSY 21 - Robot Design, Dynamics and Control (ROMANSY21 2016)

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 569))

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Abstract

The 3-RRS parallel manipulator presented in this study comprises of parallel revolute joint axes in each leg. The manipulator is composed of a base and a moving platform which are in the shape of equilateral triangles. Moving platform has two rotational and one translational degrees-of-freedom. This study formulates the forward and inverse kinematics of the parallel manipulator. A 16\(^{th}\) order polynomial in terms of one of the passive joint variables is obtained for the forward kinematic analysis. Numerical results and the corresponding pose of the manipulator for inverse and forward kinematics are presented.

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References

  • Arun Srivatsan, R., & Bandyopadhyay, S. (2013). On the position kinematic analysis of MaPaMan: A reconfigurable three-degrees-of-freedom spatial parallel manipulator. Mechanism and Machine Theory, 62, 150–165.

    Article  Google Scholar 

  • Arun Srivatsan, R., & Bandyopadhyay, S. (2014). Determination of the safe working zone of a parallel manipulator. In Computational Kinematics (pp. 201–208). Netherlands: Springer.

    Google Scholar 

  • Chen, X., Xie, F. G., Liu, X. J., Xie, F., & Sun, T. (2014). A comparison study on motion/force transmissibility of two typical 3-DoF parallel manipulators: the sprint Z3 and A3 tool heads. International Journal of Advanced Robotic System, 11(5), 1–10.

    Google Scholar 

  • Fan, C., Liu, H., & Zhang, Y. (2009). Kinematics and singularity analysis of a novel 1T2R fully-decoupled parallel mechanism. In Intelligent Computing and Intelligent Systems, 2009. ICIS 2009. IEEE International Conference (Vol. 2, pp. 312–316). IEEE.

    Google Scholar 

  • Itul, T., & Pisla, D. (2009). Kinematics and dynamics of 3-DoF parallel robots with triangle platform. Journal of Vibroengineering, 11(1),

    Google Scholar 

  • Li, J., Wang, J., Chou, W., Zhang, Y., Wang, T., & Zhang, Q. (2001). Inverse kinematics and dynamics of the 3-RRS parallel platform. In Robotics and Automation, 2001. Proceedings 2001 ICRA. IEEE International Conference (Vol. 3, pp. 2506–2511). IEEE.

    Google Scholar 

  • Liu, X. -J., & Bonev, I. A. (2008). Orientation capability, error analysis, and dimensional optimization of two articulated tool heads with parallel kinematics. Journal of Manufacturing Science and Engineering, 130(1), 011015–011015–9.

    Google Scholar 

  • Tsai, L. -W. (1999). Robot Analysis: The Mechanics of Serial and Parallel Manipulators. Wiley.

    Google Scholar 

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Correspondence to Halil Tetik .

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© 2016 CISM International Centre for Mechanical Sciences

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Tetik, H., Kalla, R., Kiper, G., Bandyopadhyay, S. (2016). Position Kinematics of a 3-RRS Parallel Manipulator. In: Parenti-Castelli, V., Schiehlen, W. (eds) ROMANSY 21 - Robot Design, Dynamics and Control. ROMANSY21 2016. CISM International Centre for Mechanical Sciences, vol 569. Springer, Cham. https://doi.org/10.1007/978-3-319-33714-2_8

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  • DOI: https://doi.org/10.1007/978-3-319-33714-2_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33713-5

  • Online ISBN: 978-3-319-33714-2

  • eBook Packages: EngineeringEngineering (R0)

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