DETERMINING SINGULARITY OF PARALLEL MANIPULATORS WITH n LINEAR ACTIVE LEGS BY CAD VARIATION GEOMETRY

Y. Lu and B. Hu

References

  1. [1] Z. Huang, L.F. Kong, & Y.F. Fang, Theory of parallel robot and control (Beijing, China: Press of Machinery Industry, 1998).
  2. [2] Z. Huang, L.H. Chen, & Y.W. Li, The singularity principle and property of Stewart parallel manipulator, Journal of Robotic Systems, 20(4), 2003, 163–176.
  3. [3] Z. Huang, Y. Cao, Y.W. Li, & L.H. Chen, Structure andproperty of the singularity loci of the 3/6-Stewart-Goughplatform for general orientations, Robotica, 24, 2006, 75–84.
  4. [4] Z. Huang & Y. Cao, Property identification of the singularity loci of a class of Gough-Stewart manipulators, The International Journal of Robotics Research, 24(8), 2005, 675–685.
  5. [5] Merlet J.P., Singular configurations of parallel manipulators and Grassmann geometry, International Journal of Robotics Research, 8(5), 1989, 45–56.
  6. [6] J. Wang & C.M. Gossalin, Singularity analysis and representation of spatial five-degree-of-freedom parallel mechanisms, Journal of Robotic Systems, 14(12), 1997, 851–869.
  7. [7] J. Wang & C.M. Gossalin, Singularity loci of a special class of spherical 3-DOF parallel mechanisms with pridmatic actuators, Transaction ASME Journal of Mechanical Design, 126(2), 2004, 319–326.
  8. [8] G. Alıcı & B. Shirinzadeh, Loci of singular configurations of a 3-DOF spherical parallel manipulator, Robotics and Autonomous Systems, 48(2–3), 2004, 77–91.
  9. [9] X. Kong & C.M. Gosselin, Uncertainty singularity analysis of parallel manipulators based on the instability analysis of structures, International Journal of Robotics Research, 20(11), 2001, 847–856.
  10. [10] B. Monsarrat & C.M. Gossalin, Singularity analysis of a three-leg six-degree-of-freedom parallel platform mechanism based on Grassmann line geometry, International Journal of Robotics Research, 20(40), 2001, 312–326.
  11. [11] S. Bandyopadhyay & G. Ashitava, Geometric characterization and parametric representation of the singularity manifold of a 6–6 Stewart platform manipulator. Mechanism and Machine Theory, 41(11), 2006, 1377–1400.
  12. [12] S. Bandyopadhyay & G. Ashitava, Analysis of configuration space singularities of closed-loop mechanisms and parallel manipulators. Mechanism and Machine Theory, 39(5), 2004, 519–544.
  13. [13] G.-A. Jaime, J.M. Rico-Mart´ınez, & G. Alici, Kinematics and singularity analyses of a 4-dof parallel manipulator using screw theory. Mechanism and Machine Theory, 41(9), 2006: 1048–1061.
  14. [14] R.D. Gregorio, Forward problem singularities in parallel manipulators which generate SX–YS–ZS structures, Mechanism and Machine Theory, 40(5), 2005: 600–612.
  15. [15] J.-S. Zhao, Z.-J. Feng, K. Zhou, & J.-X. Dong, Analysis of the singularity of spatial parallel manipulator with terminal constraints, Mechanism and Machine Theory, 40(3), 2005, 275–284.
  16. [16] S.K. Ider, Inverse dynamics of parallel manipulators in the presence of drive singularities, Mechanism and Machine Theory, 40(1), 2005: 33–44.
  17. [17] A. Wolf, E. Ottaviano, M. Shoham, & M. Ceccarelli, Application of line geometry and linear complex approximation to singularity analysis of the 3-DOF CaPaMan parallel manipulator, Mechanism and Machine Theory, 39(1), 2004, 75–95.
  18. [18] A.K. Dash, I-M. Chen, S.H. Yeo, & G. Yang, Workspace generation and planning singularity-free path for parallel manipulators, Mechanism and Machine Theory, 40(7), 2005, 776–805.
  19. [19] S. Sen, B. Dasgupta, & A.K. Mallik, Variational, approach for singularity-free path-planning of parallel manipulators. Mechanism and Machine Theory, 38(11), 2003, 1165–1183.
  20. [20] H. Zhou & T. Kwun-Lon, Path generation with singularity avoidance for five-bar slider-crank parallel manipulators, Mechanism and Machine Theory, 40(3), 2005, 371–384.
  21. [21] Y. Lu, Using CAD Functionalities for the kinematics analysis of spatial parallel manipulators with 3-, 4-, 5-, 6-linearly driven limbs, Machine and Mechanism Theory, 39(1), 2004, 41–6.
  22. [22] Y. Lu, Using CAD variation geometry for solving velocity and acceleration of parallel manipulators with 3-5 linear driving limbs, Transaction ASME Journal of Mechanical Design, 128, July(4), 2006, 738–746.
  23. [23] Y. Lu, Position and workspace analyses of 3-SPR and 3-RPS parallel manipulators DETC2005-84117, Proceedings ofIDETC/CIE 2005: ASME 2005 International Design Engineering Technical Conference and Computers and Information in Engineering Conference, September 24–28, 2005, pp. 957–962, Long Beach, California, USA.
  24. [24] Y. Lu & B. Hu, Unification and simplification of velocity/acceleration of limited-dof parallel manipulators with linear active legs, Mechanism and Machine Theory, 2007. doi:10.1016/j.mechmachtheory.2007.08.002

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