Hostname: page-component-5cf477f64f-tx7qf Total loading time: 0 Render date: 2025-04-08T00:00:24.508Z Has data issue: false hasContentIssue false
  • English
  • Français

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
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

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.

Type
Articles
Copyright
Copyright © Cambridge University Press 2017 

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

1.Koren,Y.,Heisel,U.,Jovane,F.,Moriwaki,T.,Pritschow,G.,Ulsoy,G. andVan Brussel,H., “Reconfigurable Manufacturing Systems,”CIRP Ann. - Manuf. Technol.48(2),527540 (1999).Google Scholar
2.Plitea,N.,Lese,D.,Pisla,D. andVaida,C., “Structural design and kinematics of a new parallel reconfigurable robot,”Robot. Comput. Integr. Manuf.29(1),219235 (2013).Google Scholar
3.Moosavian,A. andXi,F. J., “Design and analysis of reconfigurable parallel robots with enhanced stiffness,”Mech. Mach. Theory77(3),92110 (2014).Google Scholar
4.Coppola,G.,Zhang,D. andLiu,K., “A 6-DOF reconfigurable hybrid parallel manipulator,”Robot. Cim-Int. Manuf.30(2),99106 (2014).Google Scholar
5.Guo,S.,Ye,W.,Qu,H.,Zhang,D. andFang,Y., “A serial of novel four degrees of freedom parallel mechanisms with large rotational workspace,”Robotica34(04),764776 (2016).Google Scholar
6.Kong,X. andGosselin,C. M., “Type synthesis of 3-DOF translational parallel manipulators based on screw theory,”J. Mech. Des.126(1),8392 (2004).Google Scholar
7.Kong,X., “Reconfiguration analysis of a 3-DOF parallel mechanism using Euler parameter quaternions and algebraic geometry method,”Mech. Mach. Theory74(12),188201 (2014).Google Scholar
8.Kong,X., “Type synthesis of single-loop overconstrained 6R spatial mechanisms for circular translation,”J. Mech. Robot.6(4),18 (2014).Google Scholar
9.Carbonari,L.,Callegari,M.,Palmieri,G. andPalpacelli,M. C., “A new class of reconfigurable parallel kinematic machines,”Mech. Mach. Theory79(0),173183 (2014).Google Scholar
10.Coppola,G.,Zhang,D.,Liu,K. andGao,Z., “Design of parallel mechanisms for flexible manufacturing with reconfigurable dynamics,”J. Mech. Des.135(7),110 (2013).Google Scholar
11.Ye,W.,Fang,Y.,Zhang,K. andGuo,S., “A new family of reconfigurable parallel mechanisms with diamond kinematotropic chain,”Mech. Mach. Theory74(12),19 (2014).Google Scholar
12.Azulay,H.,Mahmoodi,M.,Zhao,R.,Mills,J. K. andBenhabib,B., “Comparative analysis of a new 3×PPRS parallel kinematic mechanism,”Robot. Comput. Integr. Manuf.4(30),369378 (2013).Google Scholar
13.Zhang,X. andZhang,X., “A comparative study of planar 3-RRR and 4-RRR mechanisms with joint clearances,”Robot. Cim-Int. Manuf.40,2433 (2016).Google Scholar
14.Plitea,N.,Szilaghyi,A. andPisla,D., “Kinematic analysis of a new 5-DOF modular parallel robot for brachytherapy,”Robot. Cim-Int. Manuf.31(0),7080 (2015).Google Scholar
15.Rezaei,A. andAkbarzadeh,A., “Study on Jacobian, singularity and kinematics sensitivity of the FUM 3-PSP parallel manipulator,”Mech. Mach. Theory86(0),211234 (2015).Google Scholar
16.Carbonari,L.,Callegari,M.,Palmieri,G. andPalpacelli,M. C., “A new class of reconfigurable parallel kinematic machines,”Mech. Mach. Theory79(0),173183 (2014).Google Scholar
17.Srivatsan,R. A. andBandyopadhyay,S., “On the position kinematic analysis of MaPaMan: A reconfigurable three-degrees-of-freedom spatial parallel manipulator,”Mech. Mach. Theory62,150165 (2013).Google Scholar
18.Gan,D.,Dai,J. S.,Dias,J. andSeneviratne,L., “Reconfigurability and unified kinematics modeling of a 3rTPS metamorphic parallel mechanism with perpendicular constraint screws,”Robot. Cim-Int. Manuf.29(4),121128 (2013).Google Scholar
19.Liu,X.,Li,J. andZhou,Y., “Kinematic optimal design of a 2-degree-of-freedom 3-parallelogram planar parallel manipulator,”Mech. Mach. Theory87(0),117 (2015).Google Scholar
20.Zhang,D.,Wang,L.,Gao,Z. andSu,X., “On performance enhancement of parallel kinematic machine,”J. Intell. Manuf.24(2),267276 (2013).Google Scholar
21.Xie,F. G.,Liu,X. J. andWang,J. S., “Performance evaluation of redundant parallel manipulators assimilating motion/force transmissibility,”Int. J. Adv. Robot. Syst.8(5),113124 (2011).Google Scholar
22.Li,M.,Huang,T.,Mei,J.,Zhao,X.,Chetwynd,D. G. andHu,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),11291136 (2005).CrossRefGoogle Scholar
23.Fugui Xie,X. L. A. C., “Design of a novel 3-DoF parallel kinematic mechanism: Type synthesis and kinematic optimization,”Robotica33(3),622637 (2014).Google Scholar
24.Gao,Z.,Zhang,D.,Hu,X. andGe,Y., “Design, analysis, and stiffness optimization of a three degree of freedom parallel manipulator,”Robotica28(03),349357 (2010).Google Scholar
25.Liu,X. andWang,J., “A new methodology for optimal kinematic design of parallel mechanisms,”Mech. Mach. Theory42(9),12101224 (2007).Google Scholar
26.Chi,Z. andZhang,D., “Stiffness optimization of a novel reconfigurable parallel kinematic manipulator,”Robotica30(03),433447 (2012).Google Scholar
27.Chi,Z.,Zhang,D.,Xia,L. andGao,Z., “Multi-objective optimization of stiffness and workspace for a parallel kinematic machine,”Int. J. Mech. Mater. Des.9(3),281293 (2013).Google Scholar
28.Wang,L.,Xi,F.,Zhang,D. andVerner,M., “Design optimization and remote manipulation of a tripod,”Int. J. Comput. Integ. M18(1),8595 (2005).Google Scholar
29.Srivatsan,R. A. andBandyopadhyay,S.,Determination of the Safe Working Zone of a Parallel Manipulator (Springer,Netherlands,2014).Google Scholar
30.Yang,Y. andO'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, Jul1998, Iftomm, pp.1–8, 1998.Google Scholar
32.Gao,Z. andZhang,D., “Design, analysis and fabrication of a multidimensional acceleration sensor based on fully decoupled compliant parallel mechanism,”Sensors Actuators A: Physical163(1),418427 (2010).Google Scholar
33.Guo,J.,Zhao,L.,Dong,L. andSheng,Z., “The analysis on the processing dexterity of a 3-TPT parallel machine tool,”Procedia EngineeringCEIS201115,298302 (2011).Google Scholar
34.Gao,Z. andZhang,D., “Performance analysis, mapping, and multiobjective optimization of a hybrid robotic machine tool,”IEEE T. Ind. Electron.62(1),423433 (2015).Google Scholar
Supplementary material: PDF

Huang supplementary material

Appendix

Download Huang supplementary material(PDF)
PDF 1.1 MB