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Unified analysis of statics of some limited-DOF parallel manipulators

Published online by Cambridge University Press:  01 July 2011

Bo Hu ,
Yi Lu ,
Xiuli Zhang  and
Jianping Yu
Bo Hu
Affiliation:
College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, P. R. China
Yi Lu*
Affiliation:
College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, P. R. China
Xiuli Zhang
Affiliation:
College of Qinhuangdao Building Material, Qinhuangdao, Hebei, 066004P. R. China
Jianping Yu
Affiliation:
College of Foreign Studies, Yanshan University, Qinhuangdao, Hebei, 066004, P. R. China
*
*Corresponding author. E-mail: luyi@ysu.edu.cn
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Summary

An observation approach is proposed for determining the poses of the active/constrained wrench and the unified statics of some limited-DOF parallel manipulators (PMs) are studied systematically. First, a general PM model is constructed, and the unified inverse displacement is analyzed. Second, various types of acceptable legs are synthesized; the poses of the active/constrained wrench exerted on the various acceptable legs are determined by the observation approach. Third, a unified 6 × 6 Jacobina matrix and a unified statics equation are derived for solving active/constrained wrench of many limited-DOF PMs. Finally, two PMs are presented to illustrate this approach.

Keywords

Parallel manipulatorsRobot dynamicsKinematicsStaticsConstraint wrench
Type
Articles
Information
Robotica , Volume 30 , Issue 3 , May 2012 , pp. 333 - 342
Copyright
Copyright © Cambridge University Press 2011

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References

1.Niku, S. B., Introduction to Robotics Analysis, Systems, Applications (Pearson Education, Inc., Publishing as Prentice Hall, and Publishing House of Electronics Industry, Beijing, China, 2004).Google Scholar
2.Huang, Z., Kong, L. F. and Fang, Y. F., Theory on Parallel Robotics and Control (Machinery Industry Press, Beijing, China, 1997).Google Scholar
3.Lu, Y., Hu, B. and Liu, P. L., “Kinematics and dynamics analyses of a parallel manipulator with three active legs and one passive leg by a virtual serial mechanism,” Multibody Syst. Dyn. 17 (4), 229–241(2007).CrossRefGoogle Scholar
4.Dasgupta, Bh. and Mruthyunjaya, T. S., “A Newton-Euler formulation for the inverse dynamics of the Stewart platform manipulator,” Mech. Mach. Theory 33 (8), 1135–1152 (1998).CrossRefGoogle Scholar
5.Tsai, L. W., “Solving the inverse dynamics of a Stewart-Gough manipulator by the principle of virtual work,” ASME, J. Mech. Des. 122 (1), 3–9 (2000).CrossRefGoogle Scholar
6.Gallardo, J., Rico, J. M., Frisoli, A., Checcacci, D. and Bergamasco, M. “Dynamics of parallel manipulators by means of screw theory,” Mech. Mach. Theory 38 (11), 1113–1131 (2003).Google Scholar
7.Dai, J. S. and Huang, Z., “Harvey Lipkin. Mobility of over constrained Parallel Mechanisms,” ASME J. Mech. Des. 128 (1), 220–229 (2006).CrossRefGoogle Scholar
8.Zhao, J. S., Lu, W., Chu, F. and Feng, Z. J., “The kinematics and statics of manipulators,” J. Mech. Eng. Sci. Proc. IMechE Part C 223 (9), 2155–2166 (2009).Google Scholar
9.Di Gregorio, R., “Statics and singularity loci of the 3-UPU wrist,” IEEE Trans. Robot. 20 (4), 630–635 (2004).Google Scholar
10.Kong, X. W. and Gosselin, C. M., Type Synthesis of Parallel Mechanisms (Springer Tracts in Advanced Robotics, Heidelberg, 2007).Google Scholar
11.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), 1112–1128 (2008).Google Scholar
12.Lu, Y., “Using virtual work theory and CAD functionalities for solving driving force and driven force of spatial parallel manipulators,” Mech. Mach. Theory 42, 839–858 (2007).Google Scholar
13.Lu, Y. and Hu, B., “Solving driving forces of 2(3-SPR) serial-parallel manipulator by CAD variation geometry approach,” ASME J. Mech. Des. 128 (6), 1349–1351 (2006).Google Scholar
14.Zhao, T. S., Dai, J. S. and Huang, Z., “Geometric analysis of overconstrained parallel manipulators with three and four degrees of freedom,” JSME Int. J. Ser. C, Mech. Syst. Mach. Elem. Manuf. 45 (3), 730–740 (2002).Google Scholar
15.Zhao, T. S., Dai, J. S. and Huang, Z., “Geometric synthesis of spatial parallel manipulators with fewer than six degrees of freedom,” Proc. Inst. Mech. Eng. J. Mech. Eng. Sci.C 216 (12), 1175–1185 (2002).Google Scholar
16.Zhang, K., Fang, Y., Dai, J. S. and Fang, H., “Geometry and constraint analysis of the 3-spherical kinematic chain based parallel mechanism,” ASME J. Mech. Robot. 3 (2), 031014 (2010).Google Scholar
17.Gan, D. M., Dai, J. S. and Liao, Q. Z., “Constraint analysis on mobility change in the metamorphic parallel mechanism,” Mech. Mach. Theory 45 (12), 1864–1876 (2010).Google Scholar
18.Khalil, W. and Guegan, S., “Inverse and direct dynamic modeling of Gough-Stewart robots,” IEEE Trans. Robot. Autom. 20 (4), 754–762 (2004).Google Scholar
19.Ider, S., “Kemal Inverse dynamics of parallel manipulators in the presence of drive singularities,” Mech. Mach. Theory 40 (5), 578–599 (2005).CrossRefGoogle Scholar
20.Li, M., Huang, T., Mei, J. P., Zhao, X. M., Chetwynd, D. G. and Hu, S. Jack, “Dynamic Formulation and performance comparison of the 3-DOF modules of two Reconfigurable PM—The Tricept and the TriVariant,” ASME J. Mech. Des. 127 (5), 1129–1136 (2005).Google Scholar
21.Andrea, R., Rosario, S. and Xi, F. F., “Static balancing of parallel robots,” Mech. Mach. Theory 40 (2), 191–202 (2005).Google Scholar
22.Bhaskar, D. and Mruthyunjaya, T. S., “Force redundancy in parallel manipulators: theoretical and practical issues,” Mech. Mach. Theory 33 (6), 727–742 (1998).Google Scholar
23.Nokleby, S. B., Fisher, R., Podhorodeski, R. P. and Firmani, F., “Force capabilities of redundantly-actuated parallel manipulators,” Mech. Mach. Theory 40 (5), 578–599 (2005).Google Scholar
24.Chakarov, D. “Study of the passive compliance of parallel manipulators,” Mech. Mach. Theory 34 (3), 373–389 (1999).Google Scholar
25.Wang, S. C., Hikita, H. and Kubo, H., “Kinematics and dynamics of 6 degree-of-freedom fully parallel manipulator with elastic joints,” Mech. Mach. Theory 38, 439–461 (2003).Google Scholar