Analysis of the delta robot dynamic errors caused by the components elastic strain
Authors: Liangliang Zhu, Gavryushin S.S. | Published: 13.06.2024 |
Published in issue: #6(771)/2024 | |
Category: Mechanical Engineering and Machine Science | Chapter: Robots, Mechatronics and Robotic Systems | |
Keywords: delta robot, dynamics simulation, rigid elastic coupling, positioning error, trajectory planning |
Delta robot is one of the most successful and commercialized types of the parallel robots, they are widely used in manufacture and other various areas of the human activity. Their advantages over the other types of robots include design simplicity, high operation speed and strength reliability. At the same time, there appears a trend to lighten the design to increase the operation speed. However, this leads to an increase in structure deformability and undesirable oscillations, which affects the delta robot positioning accuracy and significantly limits its use in high-speed and high-precision operations. The paper considers positioning errors in the delta robot executive tools caused by the elastic strain of its components during the high-speed operations of the object capture, placement and displacement. Based on a dynamic model of the parallel robot with rigid-elastic connections, it proposes a computation method making it possible to optimize the design and significantly reduce the undesirable effects. The proposed computation method is based on the consistent introduction of the commercial (Hypermesh, Adams) and proprietary software programs created in the MATLAB environment. The delta robot trajectory is planned using the modified curved trapezoidal acceleration, which makes it possible to obtain rational laws for changing the control parameters of the three drive levers during its motion. The found solutions to the inverse kinematics problem were used to simulate the robot dynamics and calculate the dynamic errors caused by elastic strain of its components. Computation results are presented making it possible to minimize the influence of the delta robot elastic deformation on its positioning accuracy and increase its productivity in the technological operations.
EDN: UNXJRI, https://elibrary/unxjri
References
[1] Huang Z., Kong L.F., Fang Y.F. Mechanism theory and control of parallel robots. Peking, China Machine Press, 1996. 410 p.
[2] Gabutdinov N.R., Glazunov V.A., Dukhov A.V. et al. Surgical robots, possibilities of using manipulators serial and parallel structure. Meditsina i vysokie tekhnologii [Medicine and High Technology], 2015, no. 1, pp. 45–50. (In Russ.).
[3] Glazunov V.A., Gavrilina L.V., Dukhov A.V. et al. Development of spherical robots of parallel structure for cavitary operations. Meditsina i vysokie tekhnologii [Medicine and High Technology], 2017, no. 3, pp. 62–66. (In Russ.).
[4] Gavryushin S.S. Analysis and synthesis of robotic devices thin-walled structures with the prescribed Law of deformation. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [BMSTU Journal of Mechanical Engineering], 2011, no. 12, pp. 12–19, doi: http://dx.doi.org/10.18698/0536-1044-2011-12-12-19 (in Russ.).
[5] Gavryushin S.S., Baryshnikova O.O., Boriskin O.F. Chislennyy analiz elementov konstruktsiy mashin i priborov [Numerical analysis of structural elements of machines and devices]. Moscow, Bauman MSTU Publ., 2014. 479 p. (In Russ.).
[6] Liang X., Su T.T., Jia Z.Q. et al. Review of delta parallel robot and its trajectory planning method. Science Technology and Engineering, 2022, vol. 22, no. 11, pp. 4271–4279.
[7] Wang Y.N., Xu Y.W., Liu W.X. et al. Simulation analysis and verification of elastic position error of delta robot. Manufacturing Automation, 2020, vol. 42, no. 10, pp. 41–45.
[8] Mei J.P., Zang J.W., Qiao Z.Y. et al. Trajectory planning of 3-DOF delta parallel manipulator. J. Mech. Eng., 2016, vol. 52, no. 19, pp. 9–17, doi: https://doi.org/10.3901/JME.2016.19.009
[9] Wang L.J., Chen Y.J., Zhang D. et al. Kinematics and dynamics simulation analysis of Delta robot based on MATLAB and ADAMS. Journal of Chinese Agricultural Mechanization, 2016, vol. 37, no. 11, pp. 102–122.
[10] Hu S.J., Wang Y., Yang Z.Y. Static and modal analysis for master arm of delta parallel robot based on ANSYS software. Machinery Manufacturing and Automation, 2018, vol. 47, no. 5, pp. 181–183+201.
[11] Yang Q.Z., Sun M.T., Cai J. et al. Kinematic error analysis and test of high-speed plug seeding transplanting machine for greenhouse based on parallel mechanism. Transactions of the Chinese Society for Agricultural Machinery, 2018, vol. 49, no. 3, pp. 18–27.
[12] Jokin A., Isidro Z., Oscar A. et al. Improving static stiffness of the 6-RUS parallel manipulator using inverse singularities. Robot. Comput. Integr. Manuf., 2012, vol. 28, no. 4, pp. 458–471, doi: https://doi.org/10.1016/j.rcim.2012.02.003
[13] Amir R., Alireza A., Mohammad R. et al. An investigation on stiffness of a 3-PSP spatial parallel mechanism with flexible moving platform using invariant form. Mech. Mach. Theory, 2012, vol. 51, pp. 195–216, doi: https://doi.org/10.1016/j.mechmachtheory.2011.11.011
[14] Bolzon V.R., Lara-Molina F.A. Optimal kinematic and elastodynamic design of planar parallel robot with flexible joints. IEEE Lat. Am. Trans., 2018, vol. 16, no. 5, pp. 1343–1352, doi: https://doi.org/10.1109/TLA.2018.8408426
[15] Guo C., Xin S.J., Li Y.S. Simulation of delta robot trajectory planning in two kinds of coordinate space. Manufacturing Automation, 2014, vol. 36, no. 2, pp. 49–51+93.