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Precision comparison of two 3-DoF translational parallel manipulators based on the orientation errors due to joint clearances

Published online by Cambridge University Press:  06 May 2022

Y. Chouaibi Open the ORCID record for Y. Chouaibi [Opens in a new window] ,
A.H. Chebbi ,
Z. Affi  and
L. Romdhane Open the ORCID record for L. Romdhane [Opens in a new window]
Y. Chouaibi*
Affiliation:
Higher Institute for Technological Studies of Sidi Bouzid, Tunisia LGM, National Engineering School of Monastir, Tunisia
A.H. Chebbi
Affiliation:
LGM, National Engineering School of Monastir, Tunisia
Z. Affi
Affiliation:
LGM, National Engineering School of Monastir, Tunisia
L. Romdhane
Affiliation:
College of Engineering, American University of Sharjah, UAE
*
*Corresponding author E-mail: [email protected]
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Abstract

This paper presents a comparative study of two translational parallel manipulators (TPMs) with three Degrees of Freedom (3-DOF) based on the orientation errors due to joint clearances. In fact, the kinematic and static models of the manipulators have been used to determine the analytical model of the orientation errors. Then, the maximum and the sensitivity of the orientation errors have been considered as criteria to compare the precision of the DELTA and the RAF manipulators. The maximum orientation error is determined by solving an optimization problem of the previous analytical model. The sensitivity of the orientation errors is divided into two types: one related to the sensitivity of the orientation errors to the geometric parameters and another one related to the sensitivity of the orientation error to the joint clearances. The results show that the RAF robot precision is more sensitive to the joint clearances than the DELTA one. However, this advantage of the DELTA is limited to a portion of the workspace, which is free from singular configurations.

Keywords

parallel manipulatororientation errorsensitivityjoint clearancegeometric parameters
Type
Research Article
Information
Robotica , Volume 40 , Issue 10 , October 2022 , pp. 3751 - 3767
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

Romdhane, L., Affi, Z. and Fayet, M., “Design and singularity analysis of a 3 translational-DOF in-parallel manipulator,” J. Mech. Design 124(3), 419–426 (2002).10.1115/1.1480815CrossRefGoogle Scholar
Chebbi, A.-H., Affi, Z. and Romdhane, L., “Prediction of the pose errors produced by joints clearance for a 3-UPU parallel robot,” Mech. Mach. Theory 44(9), 1768–1783 (2009).CrossRefGoogle Scholar
Clavel, R., “Delta, A Fast Robot with Parallel Geometry,” In: Proceedings of the 18th international symposium on industrial robots (ISIR) (1988), Sydney (Australia), pp. 91–100.Google Scholar
Kh. Al-Widyan, X. Q. M. and Angeles, J., “The robust design of parallel spherical robots,” Mech Mach. Theory 46(3), 335–343 (2011).Google Scholar
Chaker, A., Mlika, A., Laribib, M.-A., Romdhane, L. and Zeghloul, S., “Clearance and manufacturing errors’ effects on the accuracy of the 3-RCC spherical parallel manipulator,” Eur. J. Mech. A-Solids 37(3), 86–95 (2013).Google Scholar
ArunSrivatsan, R. and Bandyopadhyay, S., “On the position kinematic analysis of MaPaMan: A reconfigurable three-degrees-of-freedom spatial parallel manipulator,” Mech Mach. Theory 62(8), 150–165 (2013).10.1016/j.mechmachtheory.2012.11.008CrossRefGoogle Scholar
Wang, L., Xu, H., Guan, L. and Zhi, Y., “A novel 3-PUU parallel mechanism and its kinematic issues,” Rob. Comput. Integr. Manufacturing 42(1), 86–102 (2016).Google Scholar
Ding, J., Lyu, S., Da, T., Wang, C. and Chirikjian, G. S., “Error space estimation of three degrees of freedom planar parallel mechanisms,” J. Mech. Robot. 11(3), 565 (2019).CrossRefGoogle Scholar
Chebbi, A. H., Chouaibi, Y., Affi, Z. and , L Romdhane, ., “Sensitivity analysis and prediction of the orientation error of a three translational parallel manipulator,” Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 232(1), 140–161 (2018)CrossRefGoogle Scholar
Parenti-Castelli, V. and Venanzi, S., “Clearance influence analysis on mechanisms,” Mech Mach. Theory 40(12), 1316–1329 (2005).CrossRefGoogle Scholar
Chouaibi, Y., Chebbi, A.-H., Affi, Z. and Romdhane, L., “Analytical modeling and analysis of the clearance induced orientation error of the RAF translational parallel manipulator,” Robotica 34(8), 1898–1921 (2016).10.1017/S0263574714002653CrossRefGoogle Scholar
Sun, D. and Chen, G., “Kinematic accuracy analysis of planar mechanisms with clearance involving random and epistemic uncertainty,” Eur. J. Mech. A-Solids 58(1), 256–261 (2016).10.1016/j.euromechsol.2016.02.007CrossRefGoogle Scholar
Zhan, Z., Zhang, X., Jian, Z. and Zhang, H., “Error modelling and motion reliability analysis of a planar parallel manipulator with multiple uncertainties,” Mech. Mach. Theory 124(3), 55–72 (2018).Google Scholar
Liu, Q., Lu, S. N. and Ding, X. L., “An error equivalent model of revolute joints with clearances for antenna pointing mechanisms,” Chin. J. Mech. Eng 31(1), 127 (2018). doi: 10.1186/s10033-018-0233-6.CrossRefGoogle Scholar
Binaud, N., Caro, S. and Wenger, P., “Sensitivity comparison of planar parallel manipulators,” Mech. Mach. Theory 45(11), 1477–1490 (2010).CrossRefGoogle Scholar
Binaud, N., Caro, S. and Wenger, P., “Comparison of 3-RPR planar parallel manipulators with regard to their kinetostatic performance and sensitivity to geometric uncertainties,” Meccanica 46(1), 75–88 (2011).CrossRefGoogle Scholar
Wu, J., Li, T., Wang, J. and Wang, L., “Performance analysis and comparison of planar 3-DOF parallel manipulators with one and two additional branches,” J. Intell. Robot. Systems 72(1), 73–82 (2013).CrossRefGoogle Scholar
Zhan, Z., Zhang, X., Zhang, H. and Chen, G., “Unified motion reliability analysis and comparison study of planar parallel manipulators with interval joint clearance variables,” Mech Mach Theory 138, 58–75 (2019).10.1016/j.mechmachtheory.2019.03.041CrossRefGoogle Scholar
Quintero, H. F., Mejia, L. A. and Diaz-Rodriguez, M., “End-effector positioning due to joint clearances: a comparison among three planar 2-DOF parallel manipulators,” J. Mech. Sci. Technol. 33(7), 3497–3507 (2019).CrossRefGoogle Scholar
Tsai, L.-W. and Joshi, S., “Comparison Study of Architectures of Four 3 Degree-of-Freedom Translational Parallel Manipulators,” In: Proceedings of the IEEE International Conference on Robotics and Automation (ICRA 2001) (Cat. No. 01CH37164) (vol. 2, 2001) pp. 1283–1288.Google Scholar
Joshi, S. and Tsai, L.-W., “A compa rison study of two 3-DOF parallel manipulators: one with three and the other with four supporting legs,” IEEE Trans. Robot. Autom. 19(2), 200–209 (2003).CrossRefGoogle Scholar
Hu, B., Yao, Y., Wu, P. and Y.Lu, A., “Comparison study of two 3-UPU translational parallel manipulators,” Int. J. Adv. Robot. Syst. 10(4), 190 (2013).CrossRefGoogle Scholar
Prause, I., Eddine, S. C. and Corves, B., “Comparison of parallel kinematic machines with three translational degrees of freedom and linear actuation,” Chin. J. Mech. Eng 28(4), 841–850 (2015).CrossRefGoogle Scholar
Nayak, B., Caro, S. and Wenger, P., “Comparison of 3-[PP]S parallel manipulators based on their singularity free orientation workspace, parasitic motions and complexity,” Mech. Mach. Theory 129(4), 293–315 (2018).CrossRefGoogle Scholar
Hamida, I. B., Laribi, M., Mlika, A., Romdhane, L. and Zeghloul, S., “Dimensional synthesis and performance evaluation of four translational parallel manipulators,” Robotica 39(2), 233–249 (2021).CrossRefGoogle Scholar
Laribi, M. A., Romdhane, L. and Zeghloul, S., “Analysis and dimensional synthesis of the DELTA robot for a prescribed workspace,” Mech. Mach. Theory 42(7), 859–870 (2007).10.1016/j.mechmachtheory.2006.06.012CrossRefGoogle Scholar
Zhao, Y., “Dynamic optimum design of a three translational degrees of freedom parallel robot while considering anisotropic property,” Rob. Comput. Integr. Manufact. 29(4), 100–112 (2013).CrossRefGoogle Scholar
R. Kelaiaia, O. Company and A. Zaatri, “Multiobjective optimization of a linear delta parallel robot,” Mech. Mach. Theory 50(1), 159–178 (2012).10.1016/j.mechmachtheory.2011.11.004CrossRefGoogle Scholar
Affi, Z. and Romdhane, L., “Analysis and mapping of the orientation error of a 3-DOF translational parallel manipulator,” Robotica 27(3), 367–377 (2009).CrossRefGoogle Scholar
Laribi et al., M. A., “Multi Criteria Optimum Design of 3 DoF Translational in Parallel Manipulators,” In: 13th World Congress in Mechanism and Machine Science, Guanajuato, Mexico 19-25 June (2011).Google Scholar
Merlet, J. P., “Jacobian, manipulability, condition number, and accuracy of parallel robots,” J. Mech. Des 128(1), 199–206 (2006).10.1115/1.2121740CrossRefGoogle Scholar
Gosselin, C. and Angeles, J., “A global performance index for the kinematic optimization of robotic manipulators,” J. Mech. Des. 113(3), 220–226 (1991).CrossRefGoogle Scholar