Current research on spherical parallel mechanisms (SPMs) mainly focus on surgical robots, exoskeleton robots, entertainment equipment, and other fields. However, compared with the SPM, the structure types and research contents of the SPM are not abundant enough. In this paper, a novel two-degree-of-freedom (2DOF) SPM with symmetrical structure is proposed and analyzed. First, the models of forward kinematics and inverse kinematics are established based on D-H parameters, and the Jacobian matrix of the mechanism is obtained and verified. Second, the workspace of the mechanism is obtained according to inverse kinematics and link interference conditions. Next, rotational characteristics analysis shows that the end effector can achieve continuous rotation about an axis located in the mid-plane and passing through the rotation center of the mechanism. Moreover, the rotational characteristics of the mechanism are proved, and motion planning is carried out. A numerical example is given to verify the kinematics analysis and motion planning. Finally, some variant mechanisms can be synthesized. This work lays the foundation for the motion control and practical application of this 2DOF SPM.
Ziming Chen
,
Xuechan Chen
,
Min Gao
,
Chen Zhao
,
Kun Zhao
,
Yanwen Li
. Motion Characteristics Analysis of a Novel Spherical Two-degree-of-freedom Parallel Mechanism[J]. Chinese Journal of Mechanical Engineering, 2022
, 35(2)
: 29
-29
.
DOI: 10.1186/s10033-022-00702-7
[1] J Luo, H Liu, S Yu, et al. Development of an image-based visual servoing for moving target tracking based on bionic spherical parallel mechanism. Proceedings of the 2014 IEEE International Conference on Robotics and Biomimetics, Bali Indonesia: IEEE, 2014: 1633-1638.
[2] S Kumar, B Bongardt, M Simnofske, et al. Design and kinematic analysis of the novel almost spherical parallel mechanism active ankle. Journal of Intelligent & Robotic Systems, 2019, 94(2): 303-325.
[3] D Chablat, G Michel, P, Bordure, et al. Workspace analysis in the design parameter space of a 2-DOF spherical parallel mechanism for a prescribed workspace: application to the otologic surgery. Mechanism and Machine Theory, 2021: 157.
[4] H Saafi, M A Laribi, S Zeghloul. Optimal torque distribution for a redundant 3-RRR spherical parallel manipulator used as a haptic medical device. Robotics and Autonomous Systems, 2017, 89: 40-50.
[5] B Bian, L Wang. Design, analysis, and test of a novel 2-DOF spherical motion mechanism. IEEE Access, 2020, 8: 53561-53574.
[6] J A Leal Naranjo, M Wang, J C Paredes Rojas, et al. Design and kinematic analysis of a new 3-DOF spherical parallel manipulator for a prosthetic wrist. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020, 42: 63.
[7] S Bai. Optimum design of spherical parallel manipulators for a prescribed workspace. Mechanism and Machine Theory, 2010, 45(2): 200–211.
[8] I Bonev, C Gosselin. Singularity loci of spherical parallel mechanisms. IEEE International Conference on Robotics & Automation, 2005: 2957–2962.
[9] C Gosselin, J Angeles. A Global Performance index for the kinematic optimization of robotic manipulators. ASME Journal of Mechanical Design, 1991, 113: 220-226.
[10] C Gosselin. Stiffness mapping for parallel manipulators. IEEE Transactions on Robotics and Automation, 1990, 6(3): 377-382.
[11] B Danaei, A Arian, M T Masouleh, et al. Dynamic modeling and base inertial parameters determination of a 2-DOF spherical parallel mechanism. Multibody System Dynamics, 2017, 41(4): 367–390.
[12] C Gosselin, J F Hamel. The agile eye: a high-performance three-degree-of-freedom camera-orienting device. IEEE International Conference on Robotics & Automation, IEEE, 1994: 781–786.
[13] J Yu, K Wu, G Zong, et al. A comparative study on motion characteristics of three two-degree-of-freedom pointing mechanisms. Journal of Mechanisms and Robotics-Transactions of the ASME, 2016, 8(2): 021027.
[14] N M Bajaj, A J Spiers, A M Dollar. State of the art in artificial wrists: a review of prosthetic and robotic wrist design. IEEE Transactions on Robotics, 2019, 35 (1): 261-277.
[15] M Ouerfelli, V Kumar. Optimization of a spherical five-bar parallel drive linkage. Trans. of the ASME J. of Mechanical Design, 1994, 116(1): 166–173.
[16] J J Cervantes Sanchez, J C Hernandez Rodriguez, E J Gonzalez-Galvan. On the 5R spherical, symmetric manipulator: workspace and singularity characterization. Mechanism and Machine Theory, 2004, 39(4): 409-429.
[17] L J Zhang, Y W Niu, Y Q Li, et al. Analysis of the workspace of 2-DOF spherical 5R parallel manipulator. 2006 IEEE International Conference on Robotics and Automation, 2006: 1123-1128.
[18] Y Li, L Zhang, Y Niu. Dynamic analysis of spherical 2-DOF parallel manipulator with actuation redundancy. 2011 IEEE International Conference on Mechatronics and Automation, Beijing, China, IEEE, 2011.
[19] L J Zhang, Y Q Li, Y Q Guo. Dynamic analysis of spherical 5R Parallel Manipulator. International Conference on Mechatronics & Automation, 2009.
[20] Y Q Li, Y W Niu. Dynamic analysis of spherical 2-DOF parallel manipulator with actuation redundancy. 2011 IEEE Int. Conf. Mech. Autom, 2011: 1350-1355.
[21] L J Zhang, Y Q Li, W Y Shi. Parameter optimum design of spherical 2-DOF parallel manipulator with actuation redundancy. 2009 International Conference on Mechatronics and Automation. IEEE, 2009.
[22] J J Yu, X Dong, X Pei, et al. Mobility and singularity analysis of a class of 2-DOF rotational parallel mechanisms using a visual graphic approach. Asme International Design Engineering Technical Conferences & Computers & Information in Engineering Conference, 2011.
[23] X Dong, J Yu, B Chen, et al. Geometric approach for kinematic analysis of a class of 2-DOF rotational parallel manipulators. Chinese Journal of Mechanical Engineering, 2012, 25(2): 241–247.
[24] B Chen. Dynamic modeling and analysis of 2-DOF quasi-sphere parallel platform. Journal of Mechanical Engineering, 2013, 49(13): 24.
[25] Y Xu, D Zhang, M Wang, et al. Type synthesis of two-degrees-of-freedom rotational parallel mechanism with two continuous rotational axes. Chinese Journal of Mechanical Engineering, 2016, 29 (4): 694-702.
[26] K Tae Uk, O Yonghwan. IEEE: Design of spatial adaptive fingered gripper using spherical five-bar mechanism. 2014 International Conference on Advanced Mechatronic Systems, 2014: 145-150.
[27] Essomba, Terence, Linh, et al. Kinematic analysis of a new five-bar spherical decoupled mechanism with two-degrees of freedom remote center of motion. Mechanism & Machine Theory Dynamics of Machine Systems Gears & Power Trandmissions Robots & Manipulator Systems Computer Aided Design Methods, 2018.
[28] W A Cao, S J Xu, K Rao, et al. Kinematic design of a novel two degree-of-freedom parallel mechanism for minimally invasive surgery. Journal of Mechanical Design, 2019, 141(10): 104501.
[29] A Alamdar, F Farahmand, S Behzadipour, et al. A geometrical approach for configuration and singularity analysis of a new non-symmetric 2DOF 5R spherical parallel manipulator. Mechanism and Machine Theory, 2020, 147: 103747.
[30] W Ding, Y A Yao. Self-crossing motion analysis of a novel inpipe parallel robot with two foldable platforms. Transmissions and Applications, 2015: 221-229.
[31] J B Shor. Kinematics of spherical mechanisms. Cambridge University Press, 1988.
[32] J J Craig. Introduction to robotics: mechanics and control. Pearson Education, Inc, 1986.
[33] E Cuan Urquizo, E Rodriguez Leal. Kinematic analysis of the 3-CUP parallel mechanism. Robotics and Computer-Integrated Manufacturing, 2013, 29(5): 382-395.
[34] Z Chen, W A Cao, Z Huang. Type synthesis of 3-DOF rotational parallel mechanisms with no intersecting axes. ASME International Design Engineering Technical Conferences & Computers & Information in Engineering Conference, 2012.