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Analyzing kinematics and solving active/constrained forces of a 4-dof 3SPS+SP parallel manipulator

Published online by Cambridge University Press:  01 January 2009

Yi Lu*
Affiliation:
Robotics Research Center, College of Mechanical Engineering, Yanshan University Qinhuangdao, Hebei, 066004, P. R. CHINA
Bo Hu
Affiliation:
Robotics Research Center, College of Mechanical Engineering, Yanshan University Qinhuangdao, Hebei, 066004, P. R. CHINA
*
*Corresponding author. E-mail: luyi@ysu.edu.cn

Summary

A novel 3SPS+SP parallel manipulator (PM) with 4-dof is proposed. Its kinematics and statics are analyzed systematically. The analytic formulae for solving the displacement, velocity, acceleration, workspace, active forces and constrained force are derived. The analytic results are verified by using a simulation mechanism of the 3SPS+SP PM.

Type
Article
Copyright
Copyright © Cambridge University Press 2008

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References

1.Saeed, B. Niku, 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.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).CrossRefGoogle Scholar
4.Dai, J. S.; Huang, Z., and Lipkin, H., “Mobility of over-constrained parallel mechanisms,” ASME Trans. J. Mech. Des. 128 (1), 220229 (2006).CrossRefGoogle Scholar
5.Huang, Z. and Qinchuan, Li, “Type synthesis principle of minor-mobility parallel manipulators,” Sci. China (Series E), 45 (3), 241248 (2002).CrossRefGoogle Scholar
6.Kong, X. W. and Gosselin, C. M., “Type synthesis of 4-DOF SP-equivalent parallel manipulators: A virtual chain approach,” Mech. Mach. Theory 41 (11), 13061319 (2006).CrossRefGoogle Scholar
7.Carricato, M., “Fully isotropic four-degrees-of-freedom parallel mechanisms for Schoenflies motion,” Int. J. Robot. Res. 24 (5), 397414 (2005).CrossRefGoogle Scholar
8.Kong, X. W. and Gosselin, C. M., “Type synthesis of 3T1R 4-dof parallel manipulators based on screw theory,” IEEE Trans. Robot. Autom. 20 (2), 181190 (2004).CrossRefGoogle Scholar
9.Company, O., Marquet, F. and Pierrot, F., “A new high speed 4-dof parallel robot. Synthesis and modeling issues,” IEEE Trans. Robot. Autom. 19 (3), 411420 (2003).CrossRefGoogle Scholar
10.Alizade, R. I. and Bayram, C., “Structural synthesis of parallel manipulators,” Mech. Mach. Theory 39 (8), 857870 (2004).CrossRefGoogle Scholar
11.Chen, W.-J., “A Novel 4-DOF Parallel Manipulator and its Kinematic Modeling,” IEEE International Conference. on Robotics and Automation, Seoul (May 23–25, 2001) pp. 3350–3355.Google Scholar
12.Lu, Yi and Hu, Bo, “Analyzing kinematics and solving active/constrained forces of a 3SPU + UPR parallel manipulator,” Mech. Mach. Theory 42 (10), 12981313 (Oct. 2007).CrossRefGoogle Scholar
13.Joshi, S. A. and Tsai, L. W., “Jacobian analysis of limited-dof parallel manipulators,” J. Mech. Des.– Trans. ASME, 124 (2), 254258 (2002).CrossRefGoogle Scholar
14.Zhang, D. and Gosselin, C. M., “Kinetostatic modeling of N-DOF parallel mechanisms with a passive constraining leg and prismatic actuators,” ASME J. Mech. Des. 123 (3), 375384 (2001).CrossRefGoogle Scholar
15.Merlet, J. P., “Jacobian, manipulability, condition number, and accuracy of parallel robots,” J. Mech. Des. – Trans. ASME 128 (1), 199206 (2006).CrossRefGoogle Scholar
16.Lu, Yi, “Using CAD functionalities for the kinematics analysis of spatial parallel manipulators with 3-, 4-, 5-, 6-linearly driven limbs,” Mech. Mach. Theory 39 (1), 4160 (2004).CrossRefGoogle Scholar
17.Lu, Yi, “Using CAD variation geometry for solving velocity and acceleration of parallel manipulators with 3–5 linear driving limbs,” Trans. ASME J. Mech. Des. 128 (4), 738746 (Jul. 2006).CrossRefGoogle Scholar
18.Dasgupta, Bh and Mruthyunjaya, T. S., “A Newton–Euler formulation for the inverse dynamics of the Stewart platform manipulator,” Mech. Mach. Theory 33 (8), 11351152 (1998).CrossRefGoogle Scholar
19.Tsai, L. W., “Solving the inverse dynamics of a Stewart–Gough manipulator by the principle of virtual work,” Trans. ASME J. Mech. Des. 122 (1), 39 (2000).CrossRefGoogle Scholar
20.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), 11131131 (2003).CrossRefGoogle Scholar
21.Dai, J. S. and Kerr, D. R., “Six-component contact force measurement device based on the Stewart platform,” J. Mech. Eng. Sci. (Proc. of ImechE) 214 (5), 687697 (2000).CrossRefGoogle Scholar
22.Lu, Yi, “Using virtual work theory and CAD functionalities for solving active force and passive force of spatial parallel manipulators,” Mech. Mach. Theory 42, 839858 (2007).CrossRefGoogle Scholar
23.Russo, Andrea, Sinatra, Rosario and Fengfeng, Xi, “Static balancing of parallel robots,” Mech. Mach. Theory 40 (2), 191202 (2005).CrossRefGoogle Scholar
24.Ider, S. Kemal, “Inverse dynamics of parallel manipulators in the presence of drive singularities,” Mech. Mach. Theory 40 (5), 578599 (2005).CrossRefGoogle Scholar
25.Li, Meng, Tian, Huang, Jiangping, Mei, Xueman, Zhao, Derek, G. Chetwynd and Hu, S. Jack, “Dynamic formulation and performance comparison of the 3-DOF modules of two reconfigurable PKM—the tricept and the trivariant,” Trans. ASME J. Mech. Des. 127 (5), 11291136 (2005).CrossRefGoogle Scholar
26.Nokleby, S. B., Fisher, R., Podhorodeski, R. P. and Firmani, F., “Force capabilities of redundantly-actuated parallel manipulators,” Mech. Mach. Theory 40 (5), 578599 (2005).CrossRefGoogle Scholar
27.Yi, Lu and Hu, Bo, “Unification and simplification of velocity/acceleration of limited-dof parallel manipulators with linear active legs,” Mech. Mach. Theory (2007).Google Scholar