Abstract

A new three Degree Of Freedom (3-DOF) parallel manipulator has been proposed in this study. Because the parallel manipulator has three Degree Of Freedom (DOF), one translation degree of freedom and two rotational degrees of freedom, it has received considerable attention from both researchers and manufacturers over the past years. The inverse kinematic and Jacobain matrix were derived. The dexterity of the parallel manipulator is presented. The key issue of how the kinematic performance in term of dexterity varies with differences in the structural parameters of the parallel manipulator is investigated. The simulation results, using MATLAB, testify the validity of the analytic model and illustrate the structural parameters have direct effect upon dexterity characteristic of the 3-DOF parallel manipulator.

Keywords:

Dexterity analysis, jacobian matrix, kinematic analysis, parallel manipulator,

References

1. Clavel, R., 1988. Delta, a fast robot with parallel geometry. Proceeding of the 18th International Symposium on Industrial Robots, Lausanne, pp: 91-100.
   
2. Dasgupta, B. and T. Mruthyunjaya, 2000. The Stewart platform manipulator: A review. Mech. Mach. Theory, 35: 15-40.
   CrossRef    
3. Davliakos, I. and E. Papadopoulos, 2008. Model-based control of a 6-dof electrohydraulic Stewart-Gough platform. Mech. Mach. Theory, 43: 1385-1400.
   CrossRef    
4. Golub, G.H. and C.F. Van Loan, 2013. Matrix Computations. 4th Edn., The Johns Hopkins University Press, Baltimore.
   
5. Gosselin, C. and J. Angeles, 1991. A global performance index for the kinematic optimization of robotic manipulators. J. Mech. Design, 113: 220-226.
   CrossRef    
6. Guo, H., Y. Liu, G. Liu and H. Li, 2008. Cascade control of a hydraulically driven 6-DOF parallel robot manipulator based on a sliding mode. Control Eng. Pract., 16: 1055-1068.
   CrossRef    
7. Horn, R.A. and C.R. Johnson, 2012. Matrix Analysis. 2nd Edn., Cambridge University Press, Cambridge.
   CrossRef    
8. Joshi, S.A. and L.W. Tsai, 2002. Jacobian analysis of limited-DOF parallel manipulators. Proceeding of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, pp: 341-348.
   CrossRef    
9. Kucuk, S. and Z. Bingul, 2006. Comparative study of performance indices for fundamental robot manipulators. Robot. Auton. Syst., 54: 567-573.
   CrossRef    
10. Li, Y. and Q. Xu, 2006. A new approach to the architecture optimization of a general 3-PUU translational parallel manipulator. J. Intell. Robot. Syst., 46: 59-72.
    CrossRef    
11. Liu, C.H. and S. Cheng, 2004. Direct singular positions of 3RPS parallel manipulators. J. Mech. Design, 126(6): 1006-1017.
    CrossRef    
12. Liu, X.J. and J. Kim, 2003. A three translational DoFs parallel cube-manipulator. Robotica, 21: 645-653.
    CrossRef    
13. Liu, X.J., J. Wang, F. Gao and L.P. Wang, 2001. On the analysis of a new spatial three-degrees-of-freedom parallel manipulator. IEEE T. Robotic. Autom., 17: 959-968.
    CrossRef    
14. Liu, X.J., J. Wang and G. Pritschow, 2005. A new family of spatial 3-DoF fully-parallel manipulators with high rotational capability. Mech. Mach. Theory, 40: 475-494.
    CrossRef    
15. Lopes, A.M., E.S. Pires and M.R. Barbosa, 2012. Design of a parallel robotic manipulator using evolutionary computing. Int. J. Adv. Robot. Syst., 9(26).
    
16. Masory, O., J. Wang and H. Zhuang, 1993. On the accuracy of a Stewart platform. II. Kinematic calibration and compensation. Proceeding of the IEEE International Conference on Robotics and Automation, pp: 725-731.
    CrossRef    
17. Merlet, J.P., 2006a. Jacobian, manipulability, condition number and accuracy of parallel robots. J. Mech. Design, 128: 199-206.
    CrossRef    
18. Merlet, J.P., 2006b. Parallel Robots. Springer Science and Business Media, ISBN: 978-1-4020-4133-4.
    PMCid:PMC2099315    
19. Pond, G. and J.A. Carretero, 2007. Quantitative dexterous workspace comparison of parallel manipulators. Mech. Mach. Theory, 42: 1388-1400.
    CrossRef    
20. Rao, A.K., P. Rao and S. Saha, 2003. Workspace and dexterity analyses of hexaslide machine tools. Proceeding of the IEEE International Conference on Robotics and Automation (ICRA '03), pp: 4104-4109.
    CrossRef    
21. Song, J., J.I. Mou and C. King, 1999. Error Modeling and Compensation for Parallel Kinematic Machines. In: Parallel Kinematic Machines. Advanced Manufacturing Series,Springer, London, pp: 171-187.
    CrossRef    
22. Takamori, T. and K. Tsuchiya, 2012. Group Mathematics and Parallel Link Mechanisms. In: Robotics, Mechatronics and Manufacturing Systems. Springer-Verlag, London, pp: 57.
    
23. Thomas, F., E. Ottaviano, L. Ros and M. Ceccarelli, 2005. Performance analysis of a 3-2-1 pose estimation device. IEEE T. Robot., 21: 288-297.
    CrossRef    
24. Wang, J., C. Wu and X.J. Liu, 2010. Performance evaluation of parallel manipulators: Motion/force transmissibility and its index. Mech. Mach. Theory, 45: 1462-1476.
    CrossRef    
25. Wang, Y., D. Wang and T. Chai, 2009. Modeling and control compensation of nonlinear friction using adaptive fuzzy systems. Mech. Syst. Signal Pr., 23: 2445-2457.
    CrossRef    
26. Xu, Y.X., D. Kohli and T.C. Weng, 1994. Direct differential kinematics of hybrid-chain manipulators including singularity and stability analyses. J. Mech. Design, 116: 614-621.
    CrossRef    
27. Yoshikawa, T., 1985. Manipulability of robotic mechanisms. Int. J. Robot. Res., 4: 3-9.
    CrossRef    

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