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Inverse Kinematics and Velocity Analysis of a 6-DOF Hexapod-Type Manipulator with a Circular Guide

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Mechanism Design for Robotics (MEDER 2021)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 103))

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Abstract

The study considers inverse kinematics (position problem) and velocity analysis of a six-degree-of-freedom hexapod-type manipulator with a circular guide. The structure of the proposed manipulator provides location of all drives fixed on the base and excludes the collision of the adjacent carriages when they move along the circular guide. The inverse kinematics provides the explicit relations between the platform coordinates and the driven (controlled) ones. The velocity analysis follows next and presents a procedure to find the driven velocities based on the platform ones. Example implemented in MATLAB demonstrates the performance of the proposed algorithms. As a case study, the platform motion along a screw trajectory is considered.

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References

  1. Dasgupta, B., Mruthyunjaya, T.S.: The Stewart platform manipulator: a review. Mech. Mach. Theory 35, 15–40 (2000)

    Article  MathSciNet  Google Scholar 

  2. Stewart, D.: A platform with six degrees of freedom. Proc. Inst. Mech. Eng. 180(1), 371–386 (1965)

    Article  Google Scholar 

  3. Deng, H., Xin, G., Zhong, G., Mistry, M.: Object carrying of hexapod robots with integrated mechanism of leg and arm. Robot. Comput. Integr. Manufact. 54, 145–155 (2018)

    Article  Google Scholar 

  4. Merlet, J.-P.: Parallel Robots, 2nd edn. Springer, Dordrecht (2006)

    MATH  Google Scholar 

  5. Carbone, G., Shrot, A., Ceccarelli, M.: Operation strategy for a low-cost easy-operation Cassino Hexapod. Appl. Bionics Biomech. 4(4), 149–156 (2008)

    Article  Google Scholar 

  6. Glazunov, V.A., Briot, S., Arakelyan, V., Gruntovich, M.M., Ngyuen, M.T.: Development of manipulators with a parallel-cross structure. J. Mach. Manufact. Reliab. 37, 176–185 (2008)

    Article  Google Scholar 

  7. Chiu, Y.-J., Perng, M.-H.: Self-calibration of a general hexapod manipulator with enhanced precision in 5-DOF motions. Mech. Mach. Theor. 39(1), 1–23 (2004)

    Article  Google Scholar 

  8. Fomin, A., Antonov, A., Glazunov, V.: Forward kinematic analysis of a rotary hexapod. In: Venture, G., Solis, J., Takeda, Y., Konno, A. (eds.) ROMANSY 23 - Robot Design, Dynamics and Control. ROMANSY 2020. CISM International Centre for Mechanical Sciences (Courses and Lectures), vol. 601, pp. 486–494 (2021)

    Google Scholar 

  9. Aleshin, A.K., Glazunov, V.A., Shai, O., Rashoyan, G.V., Skvortsov, S.A., Lastochkin, A.B.: Infinitesimal displacement analysis of a parallel manipulator with circular guide via the differentiation of constraint equations. J. Mach. Manufact. Reliab. 45, 398–402 (2016)

    Article  Google Scholar 

  10. Coulombe, J., Bonev, I.A.: A new rotary hexapod for micropositioning. In: Proceedings of the IEEE International Conference on Robotics and Automation, Karlsruhe, pp. 877–880 (2013)

    Google Scholar 

  11. Fomin, A., Antonov, A., Glazunov, V., Rodionov, Y.: Inverse and forward kinematic analysis of a 6-DOF parallel manipulator utilizing a circular guide. Robotics 10(31), 1–13 (2021)

    Google Scholar 

  12. Bohigas, O., Manubens, M., Ros, L.: Singularities of Robot Mechanisms. Springer, Cham (2017)

    Book  Google Scholar 

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Acknowledgements

The reported study was carried out with the support of the Russian President Grant according to the research project MK-2781.2019.8.

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Correspondence to Alexey Fomin .

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Fomin, A., Antonov, A., Petelin, D., Glazunov, V., Ceccarelli, M. (2021). Inverse Kinematics and Velocity Analysis of a 6-DOF Hexapod-Type Manipulator with a Circular Guide. In: Zeghloul, S., Laribi, M.A., Arsicault, M. (eds) Mechanism Design for Robotics. MEDER 2021. Mechanisms and Machine Science, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-030-75271-2_2

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