Abstract
This paper discusses the use of optimization algorithms to solve the problem of determining the workspace for a new robot for biological material aliquoting. The proposed robot is based on a parallel Delta-like kinematic architecture. A method for approximating the set of solutions to a system of nonlinear inequalities describing constraints on the geometric parameters of the robot is considered. Algorithms for constructing the workspace are synthesized. The workspace of the robot is obtained, considering the singularity zones of the robot, using a method based on the analysis of the Jacobian matrix of the mechanism. The analysis of changes in the volume of the workspace, considering the constancy of the determinant of the Jacobian matrix, depending on the options for solving the ambiguous inverse kinematics of the robot. The simulation results are presented.
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References
https://www.pharmaceutical-networking.com/wp-content/uploads/2014/11/PIRO-the-quality-Pipetting-robot.pdf Accessed 31 Jan 2021
https://lifesciences.tecan.com/products/liquid_handling_and_automation/freedom_evo_series?p=tab–2 - Freedom EVO® series. Accessed 31 Jan 2021
https://www.hamiltoncompany.com/automated-liquid-handling/platforms/microlab-star Accessed 31 Jan 2021
Laribi, M.A., Romdhane, L., Zeghloul, S.: Advanced synthesis of the DELTA parallel robot for a specified workspace. In: Wu, H. (ed.) Towards New Applications. IntechOpen (2008)
Curcio, E.M., Carbone, G.: Design of a novel robot for upper limb rehabilitation. In: Rauter, G., Cattin, P.C., Zam, A., Riener, R., Carbone, G., Pisla, D. (eds.) New Trends in Medical and Service Robotics. Mechanisms and Machine Science, pp. 12–20. Springer, Cham (2021)
Williams II, R.L.: The delta parallel robot: kinematics solutions. Internet Publication www.ohio.edu/people/williar4/html/pdf/DeltaKin.pdf
Merlet, J.: Interval analysis and robotics. Robot. Res. 66, 147–156 (2010)
Evtushenko, Y., Posypkin, M., Rybak, L., Turkin, A.: Approximating a solution set of non-linear inequalities. J. Glob. Optim. 7, 129–145 (2018)
Malyshev, D., Posypkin, M., Rybak, L., Usov, A.: Approaches to the determination of the working area of parallel robots and the analysis of their geometric characteristics. Eng. Trans. 67(3), 333–345 (2019)
Evtushenko, Y., Posypkin, M., Turkin, A., Rybak, L.: The non-uniform covering approach to manipulator workspace assessment. In: Proceedings of the 2017 IEEE Russia Section Young Researchers in Electrical and Electronic Engineering Conference, ElConRus, IEEE, pp. 386–389 (2017)
Rybak, L., Posypkin, M., Turkin, A.: Method for approximating the workspace of the parallel robot. Int. J. Pharm. Technol. 8(4), 25045–25055 (2016)
Ceccarelli, M., Carbone, G., Ottaviano, E.: Multi criteria optimum design of manipulators. Bull. Pol. Acad. Sci. Tech. Sci. 53(1), 9–18 (2019)
Lara-Molina, F., Dumur, D.: A fuzzy approach for the kinematic reliability assessment of robotic manipulators. Robotica 1–15 (2021). https://doi.org/10.1017/s0263574721000187
Zhou, Y., Niu, J., Liu, Z., Zhang, F.: A novel numerical approach for workspace determination of parallel mechanisms. J. Mech. Sci. Technol. 31(6), 3005–3015 (2017)
Gosselin, C., Angeles, J.: Singularity analysis of closed-loop kinematic chains. IEEE Trans. Robot. Autom. 6(3), 281–290 (1990)
Gherman, B., Birlescu, I., Plitea, N., Carbone, G., Tarnita, D., Pisla, D.: On the singularity-free workspace of a parallel robot for lower-limb rehabilitation’. Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci. 20(4), 383–391 (2019)
Rybak, L., Malyshev, D., Gaponenko, E.: Optimization algorithm for approximating the solutions set of nonlinear inequalities systems in the problem of determining the robot workspace. Adv. Optim. Appl. 1340, 27–37 (2021)
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This work was supported by the state assignment of Ministry of Science and Higher Education of the Russian Federation under Grant FZWN-2020-0017.
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Malyshev, D., Rybak, L., Carbone, G., Semenenko, T., Nozdracheva, A. (2021). Workspace and Singularity Zones Analysis of a Robotic System for Biosamples Aliquoting. In: Zeghloul, S., Laribi, M.A., Sandoval, J. (eds) Advances in Service and Industrial Robotics. RAAD 2021. Mechanisms and Machine Science, vol 102. Springer, Cham. https://doi.org/10.1007/978-3-030-75259-0_4
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