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Analytical modeling and analysis of the clearance induced orientation error of the RAF translational parallel manipulator

Published online by Cambridge University Press:  08 December 2014

Y. Chouaibi
Affiliation:
LGM, National Engineering School of Monastir, University of Monastir, Tunisia
A. H. Chebbi
Affiliation:
LGM, National Engineering School of Monastir, University of Monastir, Tunisia
Z. Affi*
Affiliation:
LGM, National Engineering School of Monastir, University of Monastir, Tunisia
L. Romdhane
Affiliation:
Department of Mechanical Engineering, American University of Sharjah, UAE
*
*Corresponding author. E-mail: zouhaier.affi@enim.rnu.tn

Summary

This paper deals with the analytical modeling and the analysis of the orientation error of the RAF translator due to the clearances in the joints. This model presents the orientation error as a function of the nominal pose, the external load applied to the platform, the manipulator structural parameters, and the joints clearances. Based on this model, an algorithm is developed in order to map the pose error within a desired workspace of the manipulator. It is shown that the orientation error variation depends essentially on the parallelogram configuration of the passive legs out of its plane. The orientation error magnitude is mainly caused by the parallelogram revolute joints radial clearances. Moreover, the orientation error around the z-axis presents some discontinuities due to the contact mode change of the parallelogram revolute joints.

Type
Articles
Copyright
Copyright © Cambridge University Press 2014 

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References

1. Affi, Z. and Romdhane, L., “Analysis and mapping of the orientation error of a 3-DOF translational parallel manipulator,” Robotica 27, 367377 (2009).CrossRefGoogle Scholar
2. Al-Widyan, K., Ma, X. Q. and Angeles, J., “The robust design of parallel spherical robots,” Mech. Mach. Theory 46, 335343 (2011).Google Scholar
3. 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, 150165 (2013).Google Scholar
4. Binaud, N., Caro, S. and Wenger, P., “Sensitivity comparison of planar parallel manipulators,” Mech. Mach. Theory 45, 14771490 (2010).Google Scholar
5. 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, 7588 (2011).Google Scholar
6. Carricato, M. and Parenti-Castelli, V., “Position analysis of a new family of 3-DOF translational parallel manipulators,” ASME J. Mech. Des. 125, 316322 (2003).Google Scholar
7. Ceccarelli, M. and Carbone, G., “A stiffness analysis for CaPaMan (cassino parallel manipulator),” Mech. Mach. Theory 37, 427439 (2002).CrossRefGoogle Scholar
8. Chaker, A., Mlika, A., Laribi, 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 37, 8695 (2013).Google Scholar
9. 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, 17681783 (2009).Google Scholar
10. Di Gregorio, R., “Kinematics of the 3-UPU wrist,” Mech. Mach. Theory 253263 (2003).Google Scholar
11. Di Gregorio, R., “Statics and singularity loci of the 3-UPU wrist,” IEEE Trans. Robot. 20, 630635 (2004)CrossRefGoogle Scholar
12. Di Gregorio, R. and Parenti-Castelli, V., “A Translational 3-Dof Parallel Manipulator,” Advances in Robot Kinematics: Analysis and Control (Kluwer Academic, Netherlands, 1998) pp. 4958.CrossRefGoogle Scholar
13. Flores, P. and Ambrsio, J., “Revolute joints with clearance in multibodysystems,” Comput. Struct. 82, 13591369 (2004).CrossRefGoogle Scholar
14. Frisoli, A., Solazzi, M., Pellegrinetti, D. and Bergamasco, M., “A new screw theory method for the estimation of position accuracy in spatial parallel manipulators with revolute joint clearances,” Mech. Mach. Theory 46, 19291949 (2011).Google Scholar
15. Genliang, C., Hao, W. and Zhongqin, L., “A unified approach to the accuracy analysis of planar parallel manipulators both with input uncertainties and joint clearance,” Mech. Mach. Theory 64, 117 (2013).Google Scholar
16. Gosselin, C. and Angeles, J., “The optimum kinematic design of a spherical three-degree-of-freedom parallel manipulator,” ASME J. Mech., Transm. Autom. Des. 111, 202207 (1989).Google Scholar
17. Hervè, J. M. and Sparacino, F., (1991). Structural Synthesis of Parallel Robots Generating Spatial Translation. Proceedings of the 5 th ICAR International Conference on Advanced Robotics, pp. 808–813.Google Scholar
18. Innocenti, C., “Kinematic clearance sensitivity analysis of spatial structures with revolute joints,” ASME J. Mech. Des. 124, 5257 (2002).CrossRefGoogle Scholar
19. Innocenti, C. and Parenti-Castelli, V., “Echelon form solution of direct kinematics for the general fully-parallel spherical wrist,” Mech. Mach. Theory 28, 553561 (1993).CrossRefGoogle Scholar
20. Ji, P. and Wu, H.Algebraic solution to forward kinematics of a 3-DOF spherical parallel manipulator,” J. Robot. Syst. 18 (5), 251257 (2001).Google Scholar
21. Khemili, I. and Romdhane, L., “Dynamic analysis of a flexible slider-crank mechanism with clearance,” Eur. J. Mech.-A/Solids 27, 882898 (2008).Google Scholar
22. Oscar, A., Jokin, A., Alfonso, H. and Isidro, Z., “Workspace analysis of positioning discontinuities due to clearances in parallel manipulators,” Mech. Mach. Theory 46, 577592 (2011).Google Scholar
23. Parenti-Castelli, V. and Venanzi, S., “Clearance influence analysis on mechanisms,” Mech. Mach. Theory 40, 13161329 (2005).Google Scholar
24. Romdhane, L., Affi, Z. and Fayet, M., “Design and singularity analysis of a 3-translational-DOF in-parallel manipulator,” J. Mech. Des. 124, 419426 (2002).Google Scholar
25. Tsai, L. W., “Kinematics of Three-Degrees of Freedom Platform with Three Extensible Limbs,” Recent Advances in Robot Kinematics (Kluwer, Dordrecht, 1996) pp. 401410.Google Scholar
26. Tsai, M. J. and Lai, T. H., “Kinematic sensitivity analysis of linkage with joint clearance based on transmission quality,” Mech. Mach. Theory 39, 11891206 (2004).Google Scholar
27. Tsai, M. J. and Lai, T. H., “Accuracy analysis of a multi-loop linkage with joint clearances,” Mech. Mach. Theory 43, 11411157 (2008).Google Scholar
28. Wu, W. and Rao, S. S., “Interval approach for the modeling of tolerances and clearances in mechanism analysis,” J. Mech. Des. 126, 581592 (2004).Google Scholar