Author(s): Shaik H. S.^*

Affiliation(s): Vignan’s Foundation for Science, Technology and Research, Vadlamudi, Guntur-522213, Hyderabad, India

^*Corresponding Author’s Address: [email protected]

Issue: Volume 11, Issue 2 (2024)

Dates:
Submitted: July 25, 2024
Received in revised form: September 4, 2024
Accepted for publication: September 18, 2024
Available online: September 25, 2024

Citation: Shaik H. S. (2024). Kinematic analysis of 3-PRPPS spatial parallel manipulator with circularly guided base for singularity-free robotic motions. Journal of Engineering Sciences (Ukraine), Vol. 11(2), pp. A30–A39. https://doi.org/10.21272/jes.2024.11(2).a4

DOI: 10.21272/jes.2024.11(2).a4

Research Area: Machines and Tools

Abstract. Robot manipulators are classified as serial manipulators and parallel manipulators. Parallel manipulators are classified into planar and spatial parallel manipulators (SPMs). The parallel manipulators have moved and fixed platforms connected with serial chains. The parallel manipulators have many linkages, which create a singularity problem. The singular positions of SPMs have also gained substantial attention in various industrial applications due to their intrinsic advantages in precision, flexibility, and load-bearing capabilities. The 3-PRPPS SPM has three prismatic joints, one spherical joint, and one revolute joint. This work changed the fixed base with a circular guided base to avoid singularity issues. The manipulator was modeled with direct kinematic relations. The Jacobian matrix for position and orientation was derived. The workspace was taken as the common area of the three circles, whose radius was the maximum arm length. The position and orientation of the end effector were traced. In the form of the end effector traces, no singularities in the mechanism were observed. The path of the robot manipulator was observed in all the possible positions and orientations. The multi-body simulation was also conducted on the 3-PRPPS manipulator, the main findings of which are presented in this article.

Keywords: process innovation, automation, workspace, kinematic analysis, multi-body simulation, Jacobian matrix, production quality.

References:

1. Pfeiffer, K. (2019). Efficient Kinematic and Algorithmic Singularity Resolution for Multi-Contact and Multi-Level Constrained Dynamic Robot Control. DSc. thesis, Université Montpellier, Montpellier, France.
2. Visinsky, M.L., Cavallaro, J.R., Walker, I.D. (1994). Robotic fault detection and fault tolerance: A survey. Reliability Engineering & System Safety, Vol. 46(2), pp. 139–158, https://doi.org/10.1016/0951-8320(94)90132-5
3. Titus, N.A. (1998). Singularity avoidance strategies for satellite mounted manipulators using attitude control. Ph.D. thesis. Air Force Institute of Technology, Wright-Patterson, OH, USA.
4. Bohigas, O., Manubens, M., Ros, L. (2016). Singularities of Robot Mechanisms: Numerical Computation and Avoidance Path Planning. Springer, Cham, Switzerland. https://doi.org/10.1007/978-3-319-32922-2
5. Pistone, A., Ludovico, D., Dal Verme, L.D.M.C., Leggieri, S., Canali, C., Caldwell, D.G. (2024). Modelling and control of manipulators for inspection and maintenance in challenging environments: A literature review. Annual Reviews in Control, Vol. 57, 100949. https://doi.org/10.1016/j.arcontrol.2024.100949
6. Yu, Q., Gravish, N. (2024). Multimodal locomotion in a soft robot through hierarchical actuation. Soft Robotics, Vol. 11(1), pp. 21–31. https://doi.org/10.1089/soro.2022.0198
7. Rodriguez-Guerra, D., Sorrosal, G., Cabanes, I., Mancisidor, A., Calleja, C. (2024). Singularity parametrization with a novel kinematic decoupled model for non-spherical wrist robots. Journal of Mechanisms and Robotics, Vol. 16(5), 051003. https://doi.org/10.1115/1.4062586
8. Li, W., Angeles, J. (2017). A novel three-loop parallel robot with full mobility: kinematics, singularity, workspace, and dexterity analysis. Journal of Mechanisms and Robotics, Vol. 9(5), 051003. https://doi.org/10.1115/1.4037112
9. Kaloorazi, M.H.F., Masouleh, M.T., Caro, S. (2016). Determining the maximal singularity-free circle or sphere of parallel mechanisms using interval analysis. Robotica, Vol. 34(1), pp. 135–149. https://doi.org/10.1017/S0263574714001271
10. Ryu, W., Kim, J., Kim, S., Choi, Y.J., Lee, S. (2021). Development of a parallel robotic positioning system with specific workspace for noninvasive brain stimulation. IEEE/ASME Transactions on Mechatronics, Vol. 27(5), pp. 2450–2461. https://doi.org/10.1109/TMECH.2021.3114852
11. Merlet, J.P. (2017). Simulation of discrete-time controlled cable-driven parallel robots on a trajectory. IEEE Transactions on Robotics, Vol. 33(3), pp. 675–688. https://doi.org/10.1109/TRO.2017.2664888
12. Merlet, J.P. (2016). A generic numerical continuation scheme for solving the direct kinematics of cable-driven parallel robot with deformable cables. In: 2016 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 4337–4343. http://doi.org/10.1109/IROS.2016.7759638
13. Öltjen, J., Kotlarski, J., Ortmaier, T. (2016). On the reduction of vibration of parallel robots using flatness-based control and adaptive inputshaping. In: 2016 IEEE International Conference on Advanced Intelligent Mechatronics, pp. 695–702. https://doi.org/10.1109/AIM.2016.7576849
14. Fontes, J.V., da Silva, M.M. (2016). On the dynamic performance of parallel kinematic manipulators with actuation and kinematic redundancies. Mechanism and Machine Theory, Vol. 103, pp. 148–166. https://doi.org/10.1016/j.mechmachtheory.2016.05.004
15. Fontes, J.V.C., Vieira, H.L., da Silva, M.M. (2018). The impact of kinematic redundancies on the conditioning of a planar parallel manipulator. In: Computational Kinematics: Proceedings of the 7th International Workshop on Computational Kinematics, pp. 449–456. https://doi.org/10.1007/978-3-319-60867-9_51
16. Mostashiri, N., Dhupia, J.S., Verl, A.W., Xu, W. (2018). A review of research aspects of redundantly actuated parallel robotsw for enabling further applications. IEEE/ASME Transactions on Mechatronics, Vol. 23(3), pp. 1259–1269. https://doi.org/10.1109/TMECH.2018.2792450
17. Liang, D., Mao, Y., Song, Y., Sun, T. (2024). Kinematics, dynamics and multi-objective optimization based on singularity-free task workspace for a novel SCARA parallel manipulator. Journal of Mechanical Science and Technology, Vol. 38(1), pp. 423–438. https://doi.org/10.1007/s12206-023-1235-6
18. Marić, F., Petrović, L., Guberina, M., Kelly, J., Petrović, I. (2021). A Riemannian metric for geometry-aware singularity avoidance by articulated robots. Robotics and Autonomous Systems, Vol. 145, 103865. https://doi.org/10.1016/j.robot.2021.103865
19. Wang, H., Zhou, Z., Zhong, X., Chen, Q. (2022). Singular configuration analysis and singularity avoidance with application in an intelligent robotic manipulator. Sensors, Vol. 22(3), 1239. https://doi.org/10.3390/s22031239
20. Zhang, X., Fan, B., Wang, C., Cheng, X. (2021). Analysis of singular configuration of robotic manipulators. Electronics, Vol. 10(18), 2189. https://doi.org/10.3390/electronics10182189
21. Briot, S., Goldsztejn, A. (2021). Singularity conditions for continuum parallel robots. IEEE Transactions on Robotics, Vol. 38(1), pp. 507–525. https://doi.org/10.1109/TRO.2021.3076830
22. Villalobos, J., Sanchez, I.Y., Martell, F. (2022). Singularity analysis and complete methods to compute the inverse kinematics for a 6-DOF UR/TM-type robot. Robotics, Vol. 11(6), 137. https://doi.org/10.3390/robotics11060137
23. Stejskal, T., Svetlík, J., Ondočko, Š. (2022). Mapping robot singularities through the Monte Carlo method. Applied Sciences, Vol. 12(16), 8330. https://doi.org/10.3390/app12168330
24. Kieffer, J. (1994). Differential analysis of bifurcations and isolated singularities for robots and mechanisms. IEEE Transactions on Robotics and Automation, Vol. 10(1), pp. 1–10. https://doi.org/10.1109/70.285580
25. Sakurai, S., Katsura, S. (2024). Singularity-free 3-leg 6-DOF spatial parallel robot with actuation redundancy. IEEJ Journal of Industry Applications, Vol. 13(2), pp. 127–134. https://doi.org/10.1541/ieejjia.23003740
26. Morecki, A., Knapczyk, J. (2014). Basics of Robotics: Theory and Components of Manipulators and Robots. Springer, Cham, Switzerland. https://doi.org/10.1007/978-3-7091-2532-8

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