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Kinematic analysis and multi-objective optimization of a new reconfigurable parallel mechanism with high stiffness

Published online by Cambridge University Press:  30 May 2017

Guanyu Huang ,
Sheng Guo ,
Dan Zhang ,
Haibo Qu  and
Hongyan Tang
Guanyu Huang
Affiliation:
Department of Mechanical Engineering, Beijing Jiaotong University, Beijing, 100044, P.R. China E-mails: huangguanyu0@163.com, shguo@bjtu.edu.cn, hbqu@bjtu.edu.cn, 14116352@bjtu.edu.cn
Sheng Guo
Affiliation:
Department of Mechanical Engineering, Beijing Jiaotong University, Beijing, 100044, P.R. China E-mails: huangguanyu0@163.com, shguo@bjtu.edu.cn, hbqu@bjtu.edu.cn, 14116352@bjtu.edu.cn
Dan Zhang*
Affiliation:
Department of Mechanical Engineering, Beijing Jiaotong University, Beijing, 100044, P.R. China E-mails: huangguanyu0@163.com, shguo@bjtu.edu.cn, hbqu@bjtu.edu.cn, 14116352@bjtu.edu.cn
Haibo Qu
Affiliation:
Department of Mechanical Engineering, Beijing Jiaotong University, Beijing, 100044, P.R. China E-mails: huangguanyu0@163.com, shguo@bjtu.edu.cn, hbqu@bjtu.edu.cn, 14116352@bjtu.edu.cn
Hongyan Tang
Affiliation:
Department of Mechanical Engineering, Beijing Jiaotong University, Beijing, 100044, P.R. China E-mails: huangguanyu0@163.com, shguo@bjtu.edu.cn, hbqu@bjtu.edu.cn, 14116352@bjtu.edu.cn
*
*Corresponding author. E-mail: 14116353@bjtu.edu.cn
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Summary

This paper presents a novel reconfigurable parallel mechanism, which can serve as a machine tool. The proposed parallel mechanism can change its structure parameters by driving a bevel gear system fixed in the base platform. First, the forward and inverse kinematics of the proposed mechanism are investigated. Second, the reachable workspace and Jacobian matrix are conducted. Based on the Jacobian matrix, the stiffness model and dexterity of the end effector are developed in detail. Finally, a multi-objective optimization is performed by using the Genetic Algorithm, and the workspace and global performance indexes of stiffness as well as the dexterity are considered as the performance indices to improve the performance of the reconfigurable parallel mechanism. Finally, Pareto frontier figure and several tables are provided to illustrate the results of the optimization. The results showed the proposed method has improved the performance of the reconfigurable machine tool in terms of its stiffness and dexterity.

Keywords

Reconfigurable parallel mechanismKinematic analysisJacobian matrixStiffnessMulti-objective optimization
Type
Articles
Information
Robotica , Volume 36 , Issue 2 , February 2018 , pp. 187 - 203
Copyright
Copyright © Cambridge University Press 2017 

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References

1. Koren, Y., Heisel, U., Jovane, F., Moriwaki, T., Pritschow, G., Ulsoy, G. and Van Brussel, H., “Reconfigurable Manufacturing Systems,” CIRP Ann. - Manuf. Technol. 48 (2), 527–540 (1999).Google Scholar
2. Plitea, N., Lese, D., Pisla, D. and Vaida, C., “Structural design and kinematics of a new parallel reconfigurable robot,” Robot. Comput. Integr. Manuf. 29 (1), 219–235 (2013).Google Scholar
3. Moosavian, A. and Xi, F. J., “Design and analysis of reconfigurable parallel robots with enhanced stiffness,” Mech. Mach. Theory 77 (3), 92–110 (2014).Google Scholar
4. Coppola, G., Zhang, D. and Liu, K., “A 6-DOF reconfigurable hybrid parallel manipulator,” Robot. Cim-Int. Manuf. 30 (2), 99–106 (2014).Google Scholar
5. Guo, S., Ye, W., Qu, H., Zhang, D. and Fang, Y., “A serial of novel four degrees of freedom parallel mechanisms with large rotational workspace,” Robotica 34 (04), 764–776 (2016).Google Scholar
6. Kong, X. and Gosselin, C. M., “Type synthesis of 3-DOF translational parallel manipulators based on screw theory,” J. Mech. Des. 126 (1), 83–92 (2004).Google Scholar
7. Kong, X., “Reconfiguration analysis of a 3-DOF parallel mechanism using Euler parameter quaternions and algebraic geometry method,” Mech. Mach. Theory 74 (12), 188–201 (2014).Google Scholar
8. Kong, X., “Type synthesis of single-loop overconstrained 6R spatial mechanisms for circular translation,” J. Mech. Robot. 6 (4), 1–8 (2014).Google Scholar
9. Carbonari, L., Callegari, M., Palmieri, G. and Palpacelli, M. C., “A new class of reconfigurable parallel kinematic machines,” Mech. Mach. Theory 79 (0), 173–183 (2014).Google Scholar
10. Coppola, G., Zhang, D., Liu, K. and Gao, Z., “Design of parallel mechanisms for flexible manufacturing with reconfigurable dynamics,” J. Mech. Des. 135 (7), 1–10 (2013).Google Scholar
11. Ye, W., Fang, Y., Zhang, K. and Guo, S., “A new family of reconfigurable parallel mechanisms with diamond kinematotropic chain,” Mech. Mach. Theory 74 (12), 1–9 (2014).Google Scholar
12. Azulay, H., Mahmoodi, M., Zhao, R., Mills, J. K. and Benhabib, B., “Comparative analysis of a new 3×PPRS parallel kinematic mechanism,” Robot. Comput. Integr. Manuf. 4 (30), 369–378 (2013).Google Scholar
13. Zhang, X. and Zhang, X., “A comparative study of planar 3-RRR and 4-RRR mechanisms with joint clearances,” Robot. Cim-Int. Manuf. 40, 24–33 (2016).Google Scholar
14. Plitea, N., Szilaghyi, A. and Pisla, D., “Kinematic analysis of a new 5-DOF modular parallel robot for brachytherapy,” Robot. Cim-Int. Manuf. 31 (0), 70–80 (2015).Google Scholar
15. Rezaei, A. and Akbarzadeh, A., “Study on Jacobian, singularity and kinematics sensitivity of the FUM 3-PSP parallel manipulator,” Mech. Mach. Theory 86 (0), 211–234 (2015).Google Scholar
16. Carbonari, L., Callegari, M., Palmieri, G. and Palpacelli, M. C., “A new class of reconfigurable parallel kinematic machines,” Mech. Mach. Theory 79 (0), 173–183 (2014).Google Scholar
17. Srivatsan, R. A. and Bandyopadhyay, S., “On the position kinematic analysis of MaPaMan: A reconfigurable three-degrees-of-freedom spatial parallel manipulator,” Mech. Mach. Theory 62, 150–165 (2013).Google Scholar
18. Gan, D., Dai, J. S., Dias, J. and Seneviratne, L., “Reconfigurability and unified kinematics modeling of a 3rTPS metamorphic parallel mechanism with perpendicular constraint screws,” Robot. Cim-Int. Manuf. 29 (4), 121–128 (2013).Google Scholar
19. Liu, X., Li, J. and Zhou, Y., “Kinematic optimal design of a 2-degree-of-freedom 3-parallelogram planar parallel manipulator,” Mech. Mach. Theory 87 (0), 1–17 (2015).Google Scholar
20. Zhang, D., Wang, L., Gao, Z. and Su, X., “On performance enhancement of parallel kinematic machine,” J. Intell. Manuf. 24 (2), 267–276 (2013).Google Scholar
21. Xie, F. G., Liu, X. J. and Wang, J. S., “Performance evaluation of redundant parallel manipulators assimilating motion/force transmissibility,” Int. J. Adv. Robot. Syst. 8 (5), 113–124 (2011).Google Scholar
22. Li, M., Huang, T., Mei, J., Zhao, X., Chetwynd, D. G. and Hu, S. J., “Dynamic formulation and performance comparison of the 3-DOF modules of two reconfigurable PKM-the tricept and the TriVariant,” J. Mech. Des. 127 (6), 1129–1136 (2005).CrossRefGoogle Scholar
23. Fugui Xie, X. L. A. C., “Design of a novel 3-DoF parallel kinematic mechanism: Type synthesis and kinematic optimization,” Robotica 33 (3), 622–637 (2014).Google Scholar
24. Gao, Z., Zhang, D., Hu, X. and Ge, Y., “Design, analysis, and stiffness optimization of a three degree of freedom parallel manipulator,” Robotica 28 (03), 349–357 (2010).Google Scholar
25. Liu, X. and Wang, J., “A new methodology for optimal kinematic design of parallel mechanisms,” Mech. Mach. Theory 42 (9), 1210–1224 (2007).Google Scholar
26. Chi, Z. and Zhang, D., “Stiffness optimization of a novel reconfigurable parallel kinematic manipulator,” Robotica 30 (03), 433–447 (2012).Google Scholar
27. Chi, Z., Zhang, D., Xia, L. and Gao, Z., “Multi-objective optimization of stiffness and workspace for a parallel kinematic machine,” Int. J. Mech. Mater. Des. 9 (3), 281–293 (2013).Google Scholar
28. Wang, L., Xi, F., Zhang, D. and Verner, M., “Design optimization and remote manipulation of a tripod,” Int. J. Comput. Integ. M 18 (1), 85–95 (2005).Google Scholar
29. Srivatsan, R. A. and Bandyopadhyay, S., Determination of the Safe Working Zone of a Parallel Manipulator (Springer, Netherlands, 2014).Google Scholar
30. Yang, Y. and O'Brien, J. F., “A Geometric Approach for the Design of Singularity-Free Parallel Robots,” IEEE International Conference on Robotics & Automation (2009). Kobe, pp. 1801–1806.Google Scholar
31. Chablat, D., Wenger, P.. Moveability and Collision Analysis for Fully-Parallel Manipulators.RoManSy, Jul 1998, Iftomm, pp.1–8, 1998.Google Scholar
32. Gao, Z. and Zhang, D., “Design, analysis and fabrication of a multidimensional acceleration sensor based on fully decoupled compliant parallel mechanism,” Sensors Actuators A: Physical 163 (1), 418–427 (2010).Google Scholar
33. Guo, J., Zhao, L., Dong, L. and Sheng, Z., “The analysis on the processing dexterity of a 3-TPT parallel machine tool,” Procedia EngineeringCEIS 2011 15, 298–302 (2011).Google Scholar
34. Gao, Z. and Zhang, D., “Performance analysis, mapping, and multiobjective optimization of a hybrid robotic machine tool,” IEEE T. Ind. Electron. 62 (1), 423–433 (2015).Google Scholar
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