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Analysis and multi-objective optimal design of a planar differentially driven cable parallel robot

Published online by Cambridge University Press:  04 May 2021

Ruobing Wang  and
Yangmin Li Open the ORCID record for Yangmin Li [Opens in a new window]
Ruobing Wang
Affiliation:
Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong SAR, China E-mail: ruobing.wang@connect.polyu.hk
Yangmin Li*
Affiliation:
Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong SAR, China E-mail: ruobing.wang@connect.polyu.hk
*
*Corresponding author. Email: yangmin.li@polyu.edu.hk
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Abstract

In this work, a planar cable parallel robot (CPR) driven by four cable-and-pulley differentials is proposed and analyzed. A new cable-and-pulley differential is designed by adding an extra pulley to eliminate the modeling inaccuracies due to the pulley radius and obviate the need of solving the complex model which considers the pulley kinematics. The design parameters of the proposed CPR are determined through multi-objective optimal design for the largest total orientation wrench closure workspace (TOWCW) and the highest global stiffness magnitude index. The proposed differentially driven CPR is evaluated by comparing various performance indices with a fully actuated CPR.

Keywords

Cable parallel robotCable-and-pulley differentialKinematicsStaticsMulti-objective optimal design

Information

Type
Article
Information
Robotica , Volume 39 , Issue 12 , December 2021 , pp. 2193 - 2209
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

Begey, J., Cuvillon, L., Lesellier, M., Gouttefarde, M. and Gangloff, J., “Dynamic control of parallel robots driven by flexible cables and actuated by position-controlled winches,” IEEE Trans. Rob. 35(1), 286–293 (2018).10.1109/TRO.2018.2875415CrossRefGoogle Scholar
Gosselin, C., “Cable-driven parallel mechanisms: State of the art and perspectives,” Mech. Eng. Rev. 1(1), DSM0004–DSM0004 (2014).10.1299/mer.2014dsm0004CrossRefGoogle Scholar
Zanotto, D., Rosati, G., Minto, S. and Rossi, A., “Sophia-3: A semiadaptive cable-driven rehabilitation device with a tilting working plane,” IEEE Trans. Rob. 30(4), 974–979 (2014).10.1109/TRO.2014.2301532CrossRefGoogle Scholar
Mottola, G., Gosselin, C. and Carricato, M., “Dynamically feasible motions of a class of purely-translational cable-suspended parallel robots,” Mech. Mach. Theory 132, 193–206 (2019).10.1016/j.mechmachtheory.2018.10.017CrossRefGoogle Scholar
Abbasnejad, G., Eden, J. and Lau, D., “Generalized ray-based lattice generation and graph representation of wrench-closure workspace for arbitrary cable-driven robots,” IEEE Trans. Rob. 35(1), 147–161 (2018).10.1109/TRO.2018.2871395CrossRefGoogle Scholar
Khakpour, H., Birglen, L. and Tahan, S. A., “Synthesis of differentially driven planar cable parallel manipulators,” IEEE Trans. Rob. 30(3), 619–630 (2014).10.1109/TRO.2013.2295891CrossRefGoogle Scholar
Khakpour, H. and Birglen, L., “Workspace Augmentation of Spatial 3-DOF Cable Parallel Robots Using Differential Actuation,” Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Chicago (2014) pp. 3880–3885.Google Scholar
Khakpour, H., Birglen, L. and Tahan, S. A., “Analysis and optimization of a new differentially driven cable parallel robot,” ASME J. Mech. Rob. 7(3), 034503–034503 (2015).10.1115/1.4028931CrossRefGoogle Scholar
Birglen, L. and Gouttefarde, M., “Stiffness of Planar 2-DOF 3-Differential Cable-Driven Parallel Robots,” Proceedings of the International Conference on Cable-Driven Parallel Robots (2019) pp. 61–71.Google Scholar
Liu, H., Gosselin, C. and Laliberte, T., “Conceptual design and static analysis of novel planar spring-loaded cable-loop-driven parallel mechanisms,” ASME J. Mech. Rob. 4(2), 021001–021001 (2012).10.1115/1.4005568CrossRefGoogle Scholar
Filipovic, M., Djuric, A. and Kevac, L., “The rigid s-type cable-suspended parallel robot design, modelling and analysis,” Robotica 34(9), 1948–1960 (2016).10.1017/S0263574714002677CrossRefGoogle Scholar
Gouttefarde, M., Collard, J. F., Riehl, N. and Baradat, C., “Geometry selection of a redundantly actuated cable-suspended parallel robot,” IEEE Trans. Rob. 31(2), 501–510 (2015).10.1109/TRO.2015.2400253CrossRefGoogle Scholar
Boschetti, G. and Trevisani, A., “Cable robot performance evaluation by wrench exertion capability,” Robotics 7(2), 15–15 (2018).10.3390/robotics7020015CrossRefGoogle Scholar
Zhang, Z., Shao, Z., Peng, F., Li, H. and Wang, L., “Workspace analysis and optimal design of a translational cable-driven parallel robot with passive springs,” ASME J. Mech. Rob. 12(5), 051005–051005 (2020).10.1115/1.4046030CrossRefGoogle Scholar
Hamida, I. B., Laribi, M. A., Mlika, A., Romdhane, L., Zeghloul, S. and Carbone, G., “Multi-objective optimal design of a cable driven parallel robot for rehabilitation tasks,” Mech. Mach. Theory 156, 104141–104141 (2021).10.1016/j.mechmachtheory.2020.104141CrossRefGoogle Scholar
Gonzalez-Rodriguez, A., Castillo-Garcia, F. J., Ottaviano, E., Rea, P. and Gonzalez-Rodriguez, A. G., “On the effects of the design of cable-driven robots on kinematics and dynamics models accuracy,” Mechatronics 43, 18–27 (2017).10.1016/j.mechatronics.2017.02.002CrossRefGoogle Scholar
Jin, X., Jung, J., Piao, J., Choi, E., Park, J. O. and Kim, C. S., “Solving the pulley inclusion problem for a cable-driven parallel robotic system: Extended kinematics and twin-pulley mechanism,” J. Mech. Sci. Technol. 32(6), 2829–2838 (2018).10.1007/s12206-018-0539-4CrossRefGoogle Scholar
Lamine, H., Romdhane, L., Saafi, H. and Bennour, S., “Design-to-workspace synthesis of a cable robot used in legs training machine,” Robotica 38(9), 1703–1714 (2020).10.1017/S026357471900170XCrossRefGoogle Scholar
Gouttefarde, M. and Gosselin, C., “Analysis of the wrench-closure workspace of planar parallel cable-driven mechanisms,” IEEE Trans. Rob. 22(3), 434–445 (2006).10.1109/TRO.2006.870638CrossRefGoogle Scholar
A. Pott, “Efficient Computation of the Workspace Boundary, its Properties and Derivatives for Cable-Driven Parallel Robots,” Proceedings of the International Workshop on Computational Kinematics, Futuroscope-Poitiers (2017) pp. 190–197.Google Scholar
Pham, C. B., Yeo, S. H., Yang, G. and Chen, I. M., “Workspace analysis of fully restrained cable-driven manipulators,” Rob. Auton. Syst. 57(9), 901–912 (2009).10.1016/j.robot.2009.06.004CrossRefGoogle Scholar
Deb, K., Pratap, A., Agarwal, S. and Meyarivan, T., “A fast and elitist multiobjective genetic algorithm: Nsga-ii,” IEEE Trans. Evol. Comput. 6(2), 182–197 (2002).10.1109/4235.996017CrossRefGoogle Scholar