Кинематический анализ сферического механизма параллельной структуры с одной степенью свободы и тремя регуляторами
| Авторы: Мисюрин С.Ю., Семенов Ю.А. | Опубликовано: 01.10.2026 |
| Опубликовано в выпуске: #10(799)/2026 | |
| Раздел: Машиностроение и машиноведение | Рубрика: Роботы, мехатроника и робототехнические системы | |
| Ключевые слова: механизм параллельной структуры, сферический механизм, кинематический анализ, регулируемые кривошипы |
Создание новых классов и типов механизмов параллельной структуры представляет собой актуальную задачу для различных отраслей промышленности. Выполнен кинематический анализ сферического механизма параллельной структуры с одной степенью свободы и тремя кинематическими цепями с регулируемыми кривошипами. Использованы как аналитические методы решения, так и численные. Решены прямая и обратная задача кинематики. Получены положения выходного звена. Определены и проанализированы особые положения. Показано, что особые положения не оказывают влияния на подвижность рассмотренного механизма ввиду особенностей конструкции.
EDN: ZEXFUO, https://elibrary/zexfuo
Литература
[1] Huang T., Li Z., Li M. et al. Conceptual design and dimensional synthesis of a novel 2-DOF translational parallel robot for pick-and place operations. J. Mech. Des., 2003, vol. 126, no. 3, pp. 449–455, doi: https://doi.org/10.1115/1.1711822
[2] Wu J., Wang J., Wang L. et al. Dynamics and control of a planar 3-DOF parallel manipulator with actuation redundancy. Mech. Mach. Theory, 2009, vol. 44, no. 4, pp. 835–849, doi: https://doi.org/10.1016/j.mechmachtheory.2008.04.002
[3] Wu J., Wang J., Wang L. et al. Performance comparison of three planar 3-DOF parallel manipulators with 4-RRR, 3-RRR and 2-RRR structures. Mechatronics, 2010, vol. 20, no. 4, pp. 510–517, doi: https://doi.org/10.1016/j.mechatronics.2010.04.012
[4] Dong W., Du Z., Xiao Y. et al. Development of a parallel kinematic motion simulator platform. Mechatronics, 2013, vol. 23, no. 1, pp. 154–161, doi: https://doi.org/10.1016/j.mechatronics.2012.10.004
[5] Wu J., Gao Y., Zhang B. et al. Workspace and dynamic performance evaluation of the parallel manipulators in a spray-painting equipment. Robot. Comput.-Integr. Manuf., 2017, vol. 44, pp. 199–207, doi: https://doi.org/10.1016/j.rcim.2016.09.002
[6] Bajaj N.M., Spiers A.J., Dollar A.M. State of the art in artificial wrists: a review of prosthetic and robotic wrist design. IEEE Trans. Robot., 2019, vol. 35, no. 1, pp. 261–277, doi: https://doi.org/10.1109/TRO.2018.2865890
[7] Bai S., Li X., Angeles J. A review of spherical motion generation using either spherical parallel manipulators or spherical motors. Mech. Mach. Theory, 2019, vol. 140, pp. 377–388, doi: https://doi.org/10.1016/j.mechmachtheory.2019.06.012
[8] Wu G., Bai S. Design and kinematic analysis of a 3-RRR spherical parallel manipulator reconfigured with four–bar linkages. Robot. Comput.-Integr. Manuf., 2019, vol. 56, pp. 55–65, doi: https://doi.org/10.1016/j.rcim.2018.08.006
[9] Gosselin C.M., Hamel J.-F. The agile eye: a high-performance three-degree-of-freedom camera-orienting device. IEEE ICRA, 1994, vol. 1, pp. 781–786, doi: https://doi.org/10.1109/ROBOT.1994.351393
[10] Saa H., Laribi M.A., Zeghloul S. Optimal torque distribution for a redundant 3-RRR spherical parallel manipulator used as a haptic medical device. Robot. Auton. Syst., 2017, vol. 89, pp. 40–50, doi: https://doi.org/10.1016/j.robot.2016.12.005
[11] Chaker A., Mlika A., Laribi M.A. et al. Synthesis of spherical parallel manipulator for dexterous medical task. Front. Mech. Eng., 2012, vol. 7, no. 2, pp. 150–162, doi: https://doi.org/10.1007/s11465-012-0325-4
[12] Du Y., Li R., Li D. et al. An ankle rehabilitation robot based on 3-RRS spherical parallel mechanism. Adv. Mech. Eng., 2017, vol. 9, no. 8, doi: https://doi.org/10.1177/1687814017718112
[13] Malosio M., Negri S.P., Pedrocchi N. et al. A spherical parallel three degrees-of-freedom robot for ankle-foot neuro-rehabilitation. 2012 Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2012, pp. 3356–3359, doi: https://doi.org/10.1109/EMBC.2012.6346684
[14] Fang Y., Tsai L.-W. Structure synthesis of a class of 3-DOF rotational parallel manipulators. IEEE Trans. Robot. Autom., 2004, vol. 20, no. 1, pp. 117–121, doi: https://doi.org/10.1109/TRA.2003.819597
[15] Kong X., Gosselin C.M. Type synthesis of 3-DOF spherical parallel manipulators based on screw theory. J. Mech. Des., 2004, vol. 126, no. 1, pp. 101–108, doi: https://doi.org/10.1115/1.1637655
[16] Kong X., Gosselin C.M. Type synthesis of three-degree-of-freedom spherical parallel manipulators. Int. J. Robot. Res., 2004, vol. 23, no. 3, pp. 237–245, doi: https://doi.org/10.1177/0278364904041562
[17] Karouia M., Herve J.M. Non-overconstrained 3-DOF spherical parallel manipulators of type: 3-RCC, 3-CCR, 3-CRC. Robotica, 2006, vol. 24, no. 1, pp. 85–94, doi: https://doi.org/10.1017/S0263574705001827
[18] Qi Y., Sun T., Song Y. et al. Topology synthesis of three-legged spherical parallel manipulators employing Lie group theory. Proc. Inst. Mech. Eng. C, 2015, vol. 229, no. 10, pp. 1873–1886, doi: https://doi.org/10.1177/0954406214549787
[19] Gosselin C.M., Angeles J. The optimum kinematic design of a spherical three-degree-of-freedom parallel manipulator. J. Mech. Transm. Autom. Des., 1989, vol. 111, no. 2, pp. 202–207, doi: https://doi.org/10.1115/1.3258901
[20] Gosselin C.M., Lavoie E. On the kinematic design of spherical three-degree-of-freedom parallel manipulators. Int. J. Robot. Res., 1993, vol. 12, no. 4, pp. 394–402, doi: https://doi.org/10.1177/027836499301200406
[21] Gosselin C.M., Sefrioui J., Richard M.J. On the direct kinematics of spherical three-degree-of-freedom parallel manipulators of general architecture. J. Mech. Des., 1994, vol. 116, no. 2, pp. 594–598, doi: https://doi.org/10.1115/1.2919419
[22] Gosselin C.M., St-Pierre E., Gagne M. On the development of the Agile Eye. IEEE Robot. Autom. Mag., 1996, vol. 3, no. 4, pp. 29–37, doi: https://doi.org/10.1109/100.556480
[23] Birglen L., Gosselin C.M., Pouliot N. et al. SHaDe, a new 3-DOF haptic device. IEEE Trans. Robot. Autom., 2002, vol. 18, no. 2, pp. 166–175, doi: https://doi.org/10.1109/TRA.2002.999645
[24] Wu G., Zou P. Comparison of 3-DOF asymmetrical spherical parallel manipulators with respect to motion/force transmission and stiffness. Mech. Mach. Theory, 2016, vol. 105, pp. 369–387, doi: https://doi.org/10.1016/j.mechmachtheory.2016.07.017
[25] Asada H., Granito J. Kinematic and static characterization of wrist joints and their optimal design. IEEE ICRA, 1985, pp. 244–250, doi: https://doi.org/10.1109/ROBOT.1985.1087324
[26] Gosselin C.M., Sefrioui J., Richard M. On the direct kinematics of spherical three-degree-of-freedom parallel manipulators with a coplanar platform. J. Mech. Des., 1994, vol. 116, no. 2, pp. 587–593, doi: https://doi.org/10.1115/1.2919418
[27] Cavallo E., Michelini R.C., Filaretov V.F. Conceptual design of an AUV equipped with a three degrees of freedom vectored thruster. J. Intell. Robot. Syst., 2004, vol. 39, no. 4, pp. 365–391, doi: https://doi.org/10.1023/B:JINT.0000026081.75417.50
[28] Sudki B., Lauria M., Noca F. Robotic penguin-like propulsor with novel spherical joint. Proc. Third Int. Symposium on Marine Propulsors, 2013. URL: https://www.researchgate.net/publication/262932918_Robotic_Penguin-like_Propulsor_with_Novel_Spherical_Joint
[29] Lee J., Noh J., Lee S. et al. A novel 4-DoF robotic link mechanism with E-CoSMo: kinematics-based torque analysis. IEEE/RSJ IROS, 2019, vol. 18, pp. 3577–3582, doi: https://doi.org/10.1109/IROS40897.2019.8967851
[30] Bai S., Hansen M.R. Evaluation of workspace of a spherical robotic wrist. IEEE/ASME AIM, 2007, doi: https://doi.org/10.1109/AIM.2007.4412458
[31] Bai S. Optimum design of spherical parallel manipulators for a prescribed workspace. Mech. Mach. Theory, 2010, vol. 45, no. 2, pp. 200–211, doi: https://doi.org/10.1016/j.mechmachtheory.2009.06.007
[32] Wu G., Caro S., Bai S. et al. Dynamic modeling and design optimization of a 3-DOF spherical parallel manipulator. Robot. Auton. Syst., 2014, vol. 62, no. 10, pp. 1377–1386, doi: https://doi.org/10.1016/j.robot.2014.06.006
[33] Enferadi J., Shahi A. On the position analysis of a new spherical parallel robot with orientation applications. Robot. Comput.-Integr. Manuf., 2016, vol. 37, pp. 151–161, doi: https://doi.org/10.1016/j.rcim.2015.09.004
[34] Karouia M., Herve J.M. Asymmetrical 3-dof spherical parallel mechanisms. Eur. J. Mech. A Solids, 2005, vol. 24, no. 1, pp. 47–57, doi: https://doi.org/10.1016/j.euromechsol.2004.10.001
[35] Wu G., Caro S., Wang J. Design and transmission analysis of an asymmetrical spherical parallel manipulator. Mech. Mach. Theory, 2015, vol. 94, pp. 119–131, doi: https://doi.org/10.1016/j.mechmachtheory.2015.07.012
[36] Wu G. Parameter excited instabilities of a 2upu-RUR RPS spherical parallel manipulator with a driven universal joint. J. Mech. Des., 2018, vol. 140, no. 9, pp. 292–303, doi: https://doi.org/10.1115/1.4040351
[37] Семенов Ю.А. Структурный синтез сферического механизма с тремя регулируемыми кинематическими цепями. Машиностроение и инженерное образование, 2025, № 2-3, с. 35–43, doi: https://doi.org/10.52261/18151051_2025_2-3_35