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2016 | OriginalPaper | Buchkapitel

Position Kinematics of a 3-RRS Parallel Manipulator

verfasst von : Halil Tetik, Rohit Kalla, Gokhan Kiper, Sandipan Bandyopadhyay

Erschienen in: ROMANSY 21 - Robot Design, Dynamics and Control

Verlag: Springer International Publishing

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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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Literatur
Zurück zum Zitat 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.CrossRef 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.CrossRef
Zurück zum Zitat Arun Srivatsan, R., & Bandyopadhyay, S. (2014). Determination of the safe working zone of a parallel manipulator. In Computational Kinematics (pp. 201–208). Netherlands: Springer. Arun Srivatsan, R., & Bandyopadhyay, S. (2014). Determination of the safe working zone of a parallel manipulator. In Computational Kinematics (pp. 201–208). Netherlands: Springer.
Zurück zum Zitat 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. 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.
Zurück zum Zitat 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. 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.
Zurück zum Zitat Itul, T., & Pisla, D. (2009). Kinematics and dynamics of 3-DoF parallel robots with triangle platform. Journal of Vibroengineering, 11(1), Itul, T., & Pisla, D. (2009). Kinematics and dynamics of 3-DoF parallel robots with triangle platform. Journal of Vibroengineering, 11(1),
Zurück zum Zitat 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. 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.
Zurück zum Zitat 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. 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.
Zurück zum Zitat Tsai, L. -W. (1999). Robot Analysis: The Mechanics of Serial and Parallel Manipulators. Wiley. Tsai, L. -W. (1999). Robot Analysis: The Mechanics of Serial and Parallel Manipulators. Wiley.
Metadaten
Titel
Position Kinematics of a 3-RRS Parallel Manipulator
verfasst von
Halil Tetik
Rohit Kalla
Gokhan Kiper
Sandipan Bandyopadhyay
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-33714-2_8

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