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Kinematics and statics analysis of a novel 4-dof 2SPS+2SPR parallel manipulator and solving its workspace

  • Yi Lu (a1), Ming Zhang (a1), Yan Shi (a1) and JianPing Yu (a1)

Summary

A novel 4-dof 2SPS+SPR parallel kinematic machine is proposed, and its kinematics, statics, and workspace are studied systematically. First, the geometric constrained equations are established, and the inverse displacement kinematics is analyzed. Second, the poses of active/constrained forces are determined, and the formulae for solving inverse/forward velocities are derived. Third, the formulae for solving inverse/forward accelerations are derived. Finally, a workspace is constructed and its active/constrained forces are solved. The analytic results are verified by its simulation mechanism to be consistent with the calculated ones.

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Corresponding author

*Corresponding author. E-mail: luyi@ysu.edu.cn

References

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1. Niku, S. B., Introduction to Robotics Analysis, Systems, Applications (Pearson Education, Publishing as Prentice Hall, and Publishing House of Electronics Industry, Beijing, 2004).
2. Huang, Z., Kong, L.-F. and Fang, Y.-F., Theory on Parallel Robotics and Control (Machinery Industry Press, Beijing, 1997).
3. Carricato, M., “Fully isotropic four-degrees-of-freedom parallel mechanisms for Schoenflies motion,” Int. J. Rob. Res. 24 (5), 397414 (2005).
4. 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. Rob. Res. 21 (9), 799810 (2002).
5. Li, Q. and Huang, Z., “Type Synthesis of 4-dof Parallel Manipulators,” In IEEE International Conference on Robotics and Automation, Taipei (Sep. 14–19, 2003) pp. 755760.
6. Kong, X. and Gosselin, C. M., “Type synthesis of 3T1R 4-dof parallel manipulators based on screw theory,” IEEE Trans. Rob. Automat. 20 (2), 181190 (2004).
7. Company, O., Marquet, F. and Pierrot, F., “A new high speed 4-dof parallel robot. synthesis and modeling issues,” IEEE Trans. Rob. Automat. 19 (3), 411420 (2003).
8. Choi, H.-B., Company, O., Pierrot, F., Konno, A., Shibukawa, T., and Uchiyama, M., “Design and control of a novel 4-dofs parallel robot H4,” In IEEE International Conference on Robotics and Automation, Taipei, (Sep. 14–19, 2003) pp. 11851190.
9. Alizade, R. I. and Bayram, C., “Structural synthesis of parallel manipulators,” Mech. Mach. Theory 39 (8), 857870 (2004).
10. Gao, F., Li, W.-M., Zhao, X.-C., Jin, Z.-L. and Zhao, H., “New kinematic structures for 2-, 3-, 4-, and 5-DOF parallel manipulator designs,” Mech. Mach. Theory 37 (11), 13951411 (2002).
11. Chen, W.-J., “A novel 4-dof parallel manipulator and its kinematic modeling,” In IEEE International Conference on Robotics and Automation, Seoul (May 23–25, 2001) pp. 33503355.
12. Gallardo-Alvarado, J., Rico-Martinez, J. M. and Alici, G., “Kinematics and singularity analysis of a 4-dof parallel manipulator using screw theory,” Mech. Mach. Theory 41, 10481061 (2006).
13. 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).
14. Lu, Y. and Hu, B., “Analyzing kinematics and solving active/constrained forces of a 3SPU+UPR parallel manipulator,” Mach. Mech. Theory 42 (10), 12981313 (2007).
15. Joshi, S. A., and Tsai, L. W., “Jacobian analysis of limited-DOF parallel manipulators,” J. Mech. Des., Trans. ASME 124 (2), 254258 (2002).
16. Kim, S.-G. and Ryu, J., “New dimensionally homogeneous Jacobian matrix formulation by three end-effector points for optimal design of parallel manipulators,” IEEE Trans. Rob. Automat. 19 (4), 731737 (2003).
17. Merlet, J. P., “Jacobian, manipulability, condition number, and accuracy of parallel robots,” ASME J. Mech. Des. 128 (1), 199206 (2006).
18. Zhou, K., Zhao, J.-S., Tan, Z.-Y. and Mao, D.-Z., “The kinematics study of a class of spatial parallel mechanism with fewer degrees of freedom,” Int. J. Adv. Manuf. Tech. 25 (9–10), 972978 (2005).
19. Lu, Y., “Using CAD variation geometry for solving velocity and acceleration of parallel manipulators with 3–5 linear driving limbs,” ASME J. Mech. Des. 128 (4), 738746 (2006).
20. Lu, Y., “Using virtual work theory and CAD functionalities for solving driving force and driven force of spatial parallel manipulators,” Mach. Mech. Theory 42 (10), 839858 (2007).
21. Dasgupta, B. and Mruthyunjaya, T. S., “A Newton-Euler formulation for the inverse dynamics of the Stewart platform manipulator,” Mech. Mach. Theory 33 (8), 11351152 (1998).
22. Tsai, L. W., “Solving the inverse dynamics of a Stewart-Gough manipulator by the principle of virtual work,” ASME J. Mech. Des. 122 (1), 39 (2000).
23. 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).
24. Andrea, R., Rosario, S. and Fengfeng, X., “Static balancing of parallel robots Mechanism and Machine Theory,” Mech. Mach. Theory 40 (2), 191202 (2005).

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