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Dynamics analysis of a novel 5-DoF parallel manipulator with couple-constrained wrench

Published online by Cambridge University Press:  22 June 2018

Yi Lu*
Affiliation:
College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, P.R. of China Parallel Robot and Mechatronic System Laboratory of Hebei Province, Key Laboratory of Advanced Forging & Stamping Technology and Science of Ministry of National Education, Qinhuangdao, Hebei 066004, P.R. of China
Yang Liu
Affiliation:
College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, P.R. of China
Lijie Zhang
Affiliation:
College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, P.R. of China
Nijia Ye
Affiliation:
College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, P.R. of China
Yongli Wang
Affiliation:
College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, P.R. of China
*
*Corresponding author. E-mail: [email protected]

Summary

A three-dimensional (3D) model of a novel 5-DoF type parallel manipulator with a couple-constrained wrench is constructed and its couple-constrained wrench is analyzed. First, the formulas are derived for solving the displacement, velocity, acceleration of the moving platform and moving links, and a workspace is constructed. Second, the formulas are derived for solving the inertial wrenches of the moving links. Third, a dynamics equation is established by considering the inertial wrenches and friction, and the formulas are derived for solving the dynamically active forces and the dynamically couple-constrained wrench. Finally, a numerical example is given to demonstrate the analytic solution of the kinematics and the dynamics, and the analytical solutions are verified by utilizing a simulation mechanism.

Type
Articles
Copyright
Copyright © Cambridge University Press 2018 

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References

1. Shu, Z. and Heisel, U., Parallel Machine Tool (Mechanical Industry Press, Bejing, China, 2003).Google Scholar
2. Huang, Z., Theory of Parallel Mechanisms (Springer, New York, 2013).Google Scholar
3. Zhang, D., Parallel Robotic Machine Tools (Springer, New York Dordrecht Heidelberg London, 2010) p. 37.Google Scholar
4. Gao, F., Li, W., Zhao, X., Jin, Z. and Zhao, H., “New kinematic structures for 2-, 3-, 4-, and 5-DOF parallel manipulator designs,” Mech. Mach. Theory 37 (11), 13951411 (2002).Google Scholar
5. Gao, F., Peng, B., Li, W. and Zhao, H., “Design of a novel 5-DOF parallel kinematic machine tool based on workspace,” Robotica 23 (1), 3543 (2005).Google Scholar
6. Liu, X., Zhao, T., Luo, E., Chen, W. and Pan, Q., “Coupling 3-PSR/PSU 5-axis compensation mechanism for stabilized platform and its analysis,” Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci. 227 (7), 16191629 (2013).Google Scholar
7. Wang, L. P., Xie, F. G., Liu, X. J. and Wang, J., “Kinematic calibration of the 3-DOF parallel module of a 5-axis hybrid milling machine,” Robotica 29 (4), 535546 (2011).Google Scholar
8. Wu, J., Wang, J. S., Wang, L. P. and Li, T. M., “Dynamic model and force control of the redundantly actuated parallel manipulator of a 5-DOF hybrid machine tool,” Robotica 27 (1), 5965 (2009).Google Scholar
9. Zhu, S. J., Huang, Z. and Zhao, M. Y., “Singularity analysis for six practicable 5-DoF fully-symmetrical parallel manipulators,” Mech. Mach. Theory 44 (4), 710725 (2009).Google Scholar
10. Li, Y., Tan, D., Wen, D., Ji, S. and Cai, D., “Parameters optimization of a novel 5-DOF gasbag polishing machine tool,” Chin. J. Mech. Eng. 26 (4), 680688 (2013).Google Scholar
11. Qi, M. and Qie, Y. H., “Forward kinematics analysis for a novel 5-DOF parallel mechanism using tetrahedron configurations,” Chin. J. Mech. Eng. 20 (6), 14 (2007).Google Scholar
12. Kong, X. and Gosselin, C. M., “Type synthesis of 5-DOF parallel manipulators based on screw theory,” J. Robot. Syst. 22 (10), 535547 (2005).Google Scholar
13. Ramezan, A. Shirazi, M. Fakhrabadi, Seyyed and Ghanbari, A., “Analysis and optimization of the 5-RPUR parallel manipulator,” Adv. Robot. 28 (15), 10211031 (2014).Google Scholar
14. Borràs, J., Thomas, F. and Torras, C., “Singularity-invariant families of line-plane 5-SPU platforms,” IEEE Trans. Robot. 27 (5), 837848 (2011).Google Scholar
15. Fang, Y. F. and Tsai, L. W., “Structure synthesis of a class of 4-DoF and 5-DoF parallel manipulators with identical limb structures,” Int. J. Robot. Res. 21 (9), 799810 (2002).Google Scholar
16. Motevalli, B., Zohoor, H. and Sohrabpour, S., “Structural synthesis of 5 DoFs 3T2R parallel manipulators with prismatic actuators on the base,” Robot. Auton. Syst. 58 (3), 307321 (2010).Google Scholar
17. Piccin, O., Bayle, B., Maurin, B. and De Mathelin, M., “Kinematic modeling of a 5-DOF parallel mechanism for semi-spherical workspace,” Mech. Mach. Theory 44 (8), 14851496 (2009).Google Scholar
18. Li, Q., Huang, Z. and Hervé, J. M., “Type synthesis of 3R2T 5-DOF parallel mechanisms using the lie group of displacements,” IEEE Trans. Robot. Autom. 20 (2), 3180 (2004).Google Scholar
19. Sangveraphunsiri, V. and Chooprasird, K., “Dynamics and control of a 5-DOF manipulator based on an H-4 parallel mechanism,” Int. J. Adv. Manuf. Technol. 52 (1-4), 343364 (2011).Google Scholar
20. You, W., Kong, M. X., Du, Z. J. and Sun, L. N., “High efficient inverse dynamic calculation approach for a haptic device with pantograph parallel platform,” Multibody Syst. Dyn. 21 (3), 233247 (2009).Google Scholar
21. Lu, Y. and Hu, B., “Unification and simplification of velocity/acceleration of limited-dof parallel manipulators with linear active legs,” Mech. Mach. Theory 43 (9), 11121128 (2008).Google Scholar
22. Wu, J., Wang, J., Wang, L. and Li, T., “Dynamics and control of a planar 3-DOF parallel manipulator with actuation redundancy,” Mech. Mach. Theory 44 (4), 835849 (2009).Google Scholar
23. Wu, J., Gao, Y., Zhang, B. and Wang, L., “Workspace and dynamic performance evaluation of the parallel manipulators in a spray-painting equipment,” Robot. Comput. Integr. Manuf. 44, 199207 (2017).Google Scholar
24. Wu, J., Chen, X. and Wang, L., “Design and dynamics of a novel solar tracker with parallel mechanism,” IEEE-ASME Trans. Mechatronics 21 (1), 8897 (2016).Google Scholar
25. Bonev, I. A. and Gosselin, C. M., “Analytical determination of the workspace of symmetrical spherical parallel mechanisms,” IEEE Trans. Robot. 22 (5), 10111017 (2006).Google Scholar
26. Liu, X. J. and Bonev, I. A., “Orientation capability, error analysis, and dimensional optimization of two articulated tool heads with parallel kinematics,” J. Manuf. Sci. Eng.-Trans. ASME 130 (1), 011015 (2008).Google Scholar
27. Lu, Y. and Ye, N., “Type synthesis of parallel mechanisms by utilizing sub-mechanisms and digital topological graphs,” Mech Mach Theory 109 (3), 3950 (2017).Google Scholar
28. Lu, Y., Ye, N., Lu, Y. and Mao, B. Y., “Analysis and determination of associated linkage, redundant constraint, and degree of freedom of closed mechanisms with redundant constraints and/or passive degree of freedom,” Trans. ASME J. Mech. Des. 134 (5), 061002-1-9 (2012).Google Scholar
29. Lu, Y., Shi, Y. and Hu, B., “Solving reachable workspace of some parallel manipulators by CAD variation geometry,” Proc. Inst. Mech. Eng. Part C, J. Mech. Eng. Sci. 222 (9), 17731781 (2008).Google Scholar