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Journal of Central South University

, Volume 18, Issue 3, pp 593–599 | Cite as

Kineto-static analysis of a novel high-speed parallel manipulator with rigid-flexible coupled links

  • Tao Sun (孙涛)
  • Yi-min Song (宋轶民)Email author
  • Kai Yan (阎凯)
Article
First Online:

Abstract

A novel high-speed parallel kinematic machine (PKM) named Delta-S parallel manipulator is proposed, which consists of a fixed base connected to a moving platform through three limbs with identical topology. Each limb is composed of one driving arm and one follower arm, herein, the latter includes two strings and one middle rod, all located in a same plane. Compared with similar manipulators with uniform parameters, the novel and unique topology as well as the addition of two strings of Delta-S manipulator can remove the clearance of the spherical joints, reduce the inertial load of components further, improve the positioning accuracy and dynamic performance, and so on. In order to formulate the kineto-static model of Delta-S manipulator, the kineto-static analyses and models of the driving arm, the generalized follower and the moving platform can be carried out by the D’ALEMBERT principle. For the sake of obtaining the force analytic results of strings, the deformation compatibility condition of strings and the middle rod are determined. Furthermore, in virtue of the assumption of small deformation and the linear superposition principle, the minimal pre-tightening force of the strings is calculated. The main results include that the loads of the strings and the middle rod must be larger than “zero” and the pre-tightening force over the workspace must be larger than the minimal pre-tightening force at any time within the workspace, which lay the foundation for the dynamic analysis and the prototype manufacture of the Delta-S manipulator.

Key words

parallel kinematic machines (PKMs) Delta-S manipulator kineto-static analysis deformation compatibility condition pre-tightening force 
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References

  1. [1]
    TLUSTY J, ZIEGERT J, RIDGEWAY S. Fundamental comparison of the use of serial and parallel kinematics for machine tools [J]. CIRP Annals-Manufacturing Technology, 2002, 48(1): 351–356.CrossRefGoogle Scholar
  2. [2]
    WECK M, STAIMER D. Parallel kinematic machine tools-current state and future potentials [J]. CIRP Annals-Manufacturing Technology, 2002, 51(2): 671–683.CrossRefGoogle Scholar
  3. [3]
    CORBEL D, COMPANY O, PIERROT F. Optimal design of a 6-dof parallel measurement mechanism integrated in a 3-dof parallel machine-tool [C]// Proceedings of 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems. Nice, France: IEEE Press, 2008: 1970–1976.CrossRefGoogle Scholar
  4. [4]
    ZHU S J, HUANG Z, ZHAO M Y. Singularity analysis for six practicable 5-DoF fully-symmetrical parallel manipulators [J]. Mechanism and Machine Theory, 2009, 44: 710–725.CrossRefGoogle Scholar
  5. [5]
    LU Yi, SHI Yan, HUANG Zhen, YU Jian-ping, LI Shi-hua, TIAN Xing-bin. Kinematics/statics of a 4-DOF over-constrained parallel manipulator with 3 legs [J]. Mechanism and Machine Theory, 2009, 44: 1497–4506.CrossRefGoogle Scholar
  6. [6]
    SUN Tao, SONG Yi-min, LI Yong-gang, ZHANG Jun. Stiffness estimation for the 4-DOF hybrid module of a novel reconfigurable robot [C]// Proceedings of 2009 ASME/IFToMM International Conference on Reconfigurable Mechanisms and Robots. London, UK: IEEE Press, 2009: 565–571.Google Scholar
  7. [7]
    TSAI LW, JOSHI S A. Kinematics and optimization of a spatial 3-UPU parallel manipulator [J]. Journal of Mechanical Design ASME, 2000, 122: 439–446.CrossRefGoogle Scholar
  8. [8]
    HUANG Tian, LI Meng, LI Zhan-xian, CHETWYND D G, WHITEHOUSE D J. Optimal kinematic design of 2-DOF parallel manipulators with well-shaped workspace bounded by a specified conditioning index [J]. IEEE Transactions on Robotics and Automation, 2004, 20(3): 538–542.CrossRefGoogle Scholar
  9. [9]
    CLAVEL R. Device for the movement and positioning of an element in space: US 4976582 [P]. 1990-12-11.Google Scholar
  10. [10]
    PIERROT F, DAUCHEZ P, FOURNIER A. HEXA: A fast six-DoF fully-parallel robot [C]// Proceedings of 5th International Conference on Advanced Robotics (ICAR). Pisa, Italy: IEEE Press, 1991: 1158–1163.Google Scholar
  11. [11]
    MILLER K. Synthesis of a manipulator of the new UWA robot [C]// Proceedings of Australian Conference on Robotics and Automation. Brisbane, Australia: QLD Press, 1999: 228–233.Google Scholar
  12. [12]
    BEHZADIPOUR S, KHAJEPOUR A, DEKKER R, CHAN E. DeltaBot: A new cable-based Ultra high speed robot [J]. ASME Dynamics Systems and Control Division (Publication) DSC, 2003, 72(1): 533–537.Google Scholar
  13. [13]
    BEHZADIPOUR S, KHAJEPOUR A. Stiffness of cable-based parallel manipulators with application to stability analysis [J]. ASME Journal of Mechanical Design, 2006, 128(1): 303–310.CrossRefGoogle Scholar
  14. [14]
    HUANG Tian, LI Zhan-xian, LI Meng. 2-DOF translational parallel robot with rotational joints: CHN, CN1355087A [P]. 2002-06-26. (in Chinese)Google Scholar
  15. [15]
    HUANG Tian, LI Zhan-xian, LI Meng. Conceptual design and dimensional synthesis of a novel 2-DOF translational parallel robot for pick-and-place operations [J]. ASME Journal of Mechanical Design, 2004, 126(3): 449–455.CrossRefGoogle Scholar
  16. [16]
    HUANG Tian, LIU Hai-tao, Zhao Xue-man. Spatial three translational parallel mechanism with parallelogram link: CHN, CN1785607 [P]. 2006-06-14. (in Chinese)Google Scholar
  17. [17]
    O’BRIEN T W. General soultion of suspended cable problem [J]. ASCE Journal of Structural Division, 1967, 93(1): 1–26.Google Scholar
  18. [18]
    IRVINE H M. Static of suspended cable [J]. ASCE Journal of Structural Division, 1975, 90(3): 89–123.Google Scholar
  19. [19]
    RAID K. Some modeling aspects in the nonlinear finite element analysis of cable supported bridges [J]. Computers and Structures, 1999, 71(4): 397–412.CrossRefGoogle Scholar
  20. [20]
    RUSSELL J C, LARDNER T J. Statics experiments on an elastic catenary [J]. ASCE Journal of Structural Division, 1997, 123(12): 1322–1324.CrossRefGoogle Scholar

Copyright information

© Central South University Press and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Tao Sun (孙涛)
    • 1
  • Yi-min Song (宋轶民)
    • 1
    Email author
  • Kai Yan (阎凯)
    • 1
  1. 1.School of Mechanical EngineeringTianjin UniversityTianjinChina

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