Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-23T08:28:53.077Z Has data issue: false hasContentIssue false

Rigid–flexible coupling dynamics analysis with joint clearance for a 5-DOF hybrid polishing robot

Published online by Cambridge University Press:  02 December 2021

Feng Guo
Affiliation:
School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, China
Gang Cheng*
Affiliation:
School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, China
Shilin Wang
Affiliation:
School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, China
Jun Li
Affiliation:
School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, China
*
*Corresponding author. E-mail: chg@cumt.edu.cn

Summary

Considering the polishing requirements for high-precision aspherical optical mirrors, a hybrid polishing robot composed of a serial–parallel manipulator and a dual rotor grinding system is proposed. Firstly, based on the kinematics of serial components, the equivalent load model for the parallel manipulator is established. Then, the elastodynamic model of kinematic branched-chains of the parallel manipulator is established by using the spatial beam element, and the rigid–flexible coupling dynamic model of the polishing robot is obtained with Kineto-elasto dynamics theory. Further, considering the dynamic properties of the joint clearance, the rigid–flexible coupling dynamic model with the joint clearance for the polishing robot is established. Finally, the equivalent load distribution of the parallel manipulator is analyzed, and the effect of the branched-chain elasticity and joint clearance on the motion error of the polishing robot is studied. This article provides a theoretical basis for improving the motion accuracy and dynamic performance of the hybrid polishing robot.

Type
Research Article
Copyright
© The Author(s), 2021. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Canfield, S., Owens, J. and Zuccaro, S., “Zero moment control for lead-through teach programming and process monitoring of a collaborative welding robot,” J. Mech. Robot. 13(3), 031114 (2021).CrossRefGoogle Scholar
Zhou, M., Yu, Q., Huang, K., Mahov, S., Eslami, A., Maier, M., Lohmann, C., Navab, N., Zapp, D., Knoll, A. and Nasseri, M., “Towards robotic-assisted subretinal injection: A hybrid parallel-serial robot system design and preliminary evaluation,” IEEE T. Ind. Electron. 67(8), 66176628 (2020).CrossRefGoogle Scholar
Pellegrinelli, S., Pedrocchi, N., Tosatti, L., Fischer, A. and Tolio, T., “Multi-robot spot-welding cells for car-body assembly: Design and motion planning,” Robot. Cim. -Int. Manuf. 44, 97116 (2017).CrossRefGoogle Scholar
Li, B., Li, Y. and Zhao, X., “Kinematics analysis of a novel over-constrained three degree-of-freedom spatial parallel manipulator. Mech. Mach. Theory 104, 222233 (2016).CrossRefGoogle Scholar
Plitea, N., Szilaghyi, A. and Pisla, D., “Kinematic analysis of a new 5-DOF modular parallel robot for brachytherapy,” Robot. Cim.-Int. Manuf. 31, 7080 (2015).CrossRefGoogle Scholar
Lin, W., Li, B., Yang, X. and Zhang, D., “Modelling and control of inverse dynamics for a 5-DOF parallel kinematic polishing machine,” Int. J. Adv. Robot. Syst. 10(13), 121 (2013).CrossRefGoogle Scholar
Xu, P., Cheung, C., Li, B., Ho, L. and Zhang, J., “Kinematics analysis of a hybrid manipulator for computer controlled ultra-precision freeform polishing,” Robot. Cim. -Int. Manuf. 44, 4456 (2017).CrossRefGoogle Scholar
Yang, X., Liu, H., Xiao, J., Zhu, W., Liu, Q., Gong, G. and Huang, T., “Continuous friction feedforward sliding mode controller for a TriMule hybrid robot,” IEEE-ASME Trans. Mechatron. 23(4), 16731683 (2018).CrossRefGoogle Scholar
Dong, C., Liu, H., Yue, W. and Huang, T., “Stiffness modeling and analysis of a novel 5-DOF hybrid robot,” Mech. Mach. Theory. 125, 8093 (2018).CrossRefGoogle Scholar
Xu, Y., Teng, Z., Yao, J., Zhou, Y. and Zhao, Y., “Elastodynamic analysis of a novel motion-decoupling forging manipulator,” Mech. Mach. Theory 147, 103771 (2020).CrossRefGoogle Scholar
Chebbi, A., 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), 17681783 (2009).CrossRefGoogle Scholar
Jiang, Y., Li, T. and Wang, L., “Dynamic modeling and redundant force optimization of a 2-DOF parallel kinematic machine with kinematic redundancy,” Robot. Cim. -Int. Manuf. 32, 110 (2015).CrossRefGoogle Scholar
Mousavi, S., Gagnol, V., Bouzgarrou, B. and Ray, P., “Stability optimization in robotic milling through the control of functional redundancies,” Robot. Cim. -Int. Manuf. 50, 181192 (2018).CrossRefGoogle Scholar
Xie, Z., Xie, F., Liu, X., Wang, J. and Shen, X., “Parameter optimization for the driving system of a 5-DOF parallel machining robot with planar kinematic chains,” J. Mech. Robot. 11(4), 117 (2019).CrossRefGoogle Scholar
Liu, Z., Tang, X., Shao, Z. and Wang, L., “Dimensional optimization of the Stewart platform based on inertia decoupling characteristic,” Robotica 34(5), 11511167 (2016).CrossRefGoogle Scholar
Shan, X. and Cheng, G., “Structural error and friction compensation control of a 2(3PUS+S) parallel manipulator,” Mech. Mach. Theory 124, 92103 (2018).CrossRefGoogle Scholar
Guo, F., Cheng, G. and Pang, Y., “Explicit dynamic modeling with joint friction and coupling analysis of a 5-DOF hybrid polishing robot,” Mech. Mach. Theory 167, 104509 (2022).CrossRefGoogle Scholar
Wu, G., Caro, S., Bai, S. and Kepler, J., “Dynamic modeling and design optimization of a 3-DOF spherical parallel manipulator,” Robot. Auton. Syst. 62(10), 13771386 (2014).CrossRefGoogle Scholar
Hu, B. and Yu, J., “Unified solving inverse dynamics of 6-DOF serial-parallel manipulators,” Appl. Math. Model. 39(16), 47154732 (2015).CrossRefGoogle Scholar
Liu, J., Li, Y., Zhang, Y., Gao, Q. and Zuo, B., “Dynamics and control of a parallel manipulator for active vibration isolation in space station,” Nonlinear Dyn. 76(3), 17371751 (2014).CrossRefGoogle Scholar
Dong, C., Liu, H., Huang, T. and Chetwynd, D., “A screw theory based semi-analytical approach for elastodynamics of the Tricept robot,” J. Mech. Robot. 11(3), 031005 (2019)CrossRefGoogle Scholar
Cammarata, A., “Full and reduced models for the elastodynamics of fully flexible parallel robots,” Mech. Mach. Theory 151, 103895 (2020).CrossRefGoogle Scholar
Alessandro, C. and Rosario, S., “Elastodynamic optimization of a 3T1R parallel manipulator,” Mech. Mach. Theory 73(73), 184196 (2014).CrossRefGoogle Scholar
Flores, P., Machado, M., Silva, M. and Martins, J., “On the continuous contact force models for soft materials in multi-body dynamics,” Multibody Syst. Dyn. 25(3), 357375 (2011).CrossRefGoogle Scholar
Mukras, S., Kim, N. and Mauntler, N., “Analysis of planar multibody systems with revolute joint wear,” Wear 268(5), 643652 (2010).CrossRefGoogle Scholar
Wang, Z., Tian, Q., Hu, H. and Flores, P., “Nonlinear dynamics and chaotic control of a flexible multibody system with uncertain joint clearance,” Nonlinear Dynam. 86(3), 15711597 (2016).CrossRefGoogle Scholar
Chen, X., Gao, W., Deng, Y. and Wang, Q., “Chaotic characteristic analysis of spatial parallel manipulator with clearance in spherical joint,” Nonlinear Dynam. 94(4), 26252642 (2018).CrossRefGoogle Scholar
Varedi-Koulaei, S., Daniali, H. and Farajtabar, M., “The effects of joint clearance on the dynamics of the 3RRR planar parallel manipulator,” Robotica 35(6), 12231242 (2016).CrossRefGoogle Scholar
Xu, B., Wang, X., Ji, X., Tong, R. and Xue, Y., “Dynamic and motion consistency analysis for a planar parallel manipulator with revolute dry clearance joints,” J. Mech. Sci. Technol. 31(7), 31993209 (2017).CrossRefGoogle Scholar