Configuration Bifurcations Analysis of Six Degree-of-Freedom Symmetrical Stewart Parallel Mechanisms

[+] Author and Article Information
Yu-Xin Wang

College of Mechanical Engineering, Tongji University, Siping Road 1239, Shanghai 200092, P.R. China

Yi-Ming Wang

Beijing Graphics and Communication Institute, Beijing 100037, P.R. China

J. Mech. Des 127(1), 70-77 (Mar 02, 2005) (8 pages) doi:10.1115/1.1814651 History: Received March 26, 2003; Revised April 20, 2004; Online March 02, 2005
Copyright © 2005 by ASME
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Hunt,  K. J., 1983, “Structural Kinematics of in-Parallel-Actuated Robot-Arms,” ASME J. Mech., Transm., Autom. Des., 105, pp. 705–712.
Gosselin,  C., and Angeles,  J., 1990, “Singularity Analysis of Closed-Loop Kinematic Chains,” IEEE Trans. Rob. Autom., 6(3), pp. 281–290.
Fichter,  E. F., 1986, “A Stewart Platform-Based Manipulator: General Theory and Practical Construction,” Int. J. Robot. Res., 5(2), pp. 157–182.
Merlet,  J. P., 1989, “Singular Configurations of Parallel Manipulators and Grassmann Geometry,” Int. J. Robot. Res., 8(5), pp. 45–56.
Ma,  O., and Angeles,  J., 1992, “Architecture Singularities of Platform Manipulators,” Int. J. Robot. Res., 7(1), pp. 23–29.
Takeda,  Y., and Funabashi,  H., 1996, “Kinematics and Static Characteristics of in-Parallel Actuated Manipulators at Singular Points and in Their Neighborhood,” JSME Int. J., Ser. C, 39(1), pp. 85–93.
Sefrioui,  J., and Gosselin,  C., 1995, “On the Quadratic Nature of the Singularity Curves of Planar Three-Degree-of-Freedom Parallel Manipulators,” Mech. Mach. Theory, 30(4), pp. 533–551.
Wang,  J., and Gosselin,  C., 1997, “Kinematic Analysis and Singularity Representation of Spatial Five-Degree-of-Freedom Parallel Mechanisms,” J. Rob. Syst., 14(12), pp. 851–869.
Huang,  Z., Zhao,  Y., Wang,  J., and Yu,  J., 1999, “Kinematic Principle and Geometrical Condition of General-Linear-Complex Special Configuration of Parallel Manipulators,” Mech. Mach. Theory, 34(8), pp. 1171–1186.
Huang,  Z., and Du,  X., 1999, “Singularity Analysis of General-Linear-Complex for 3/6-SPS Stewart Robot,” Chin. J. Mech. Eng.,10(9), pp. 997–1000.
Muller,  A., 2003, “Manipulability and Static Stability of Parallel Manipulators,” Multibody Syst. Dyn., 9(1), pp. 1–23.
Kieffer,  J., 1994, “Differential Analysis of Bifurcations and Isolated Singularities for Robots and Mechanisms,” IEEE J. Rob. Autom., 10(1), pp. 1–10.
Zoppi,  M., Bruzzone,  E. L., Molfino,  M. R., and Michelini,  C. R., 2003, “Constraint Singularities of Force Transmission in Nonredundant Parallel Robots With Less Than Six Degrees of Freedom,” J. Mech. Des., 125, pp. 557–563.
Choudhury,  P., and Ghosal,  A., 2000, “Singularity and Controllability Analysis of Parallel Manipulators and Closed-Loop Mechanisms,” Mech. Mach. Theory, 35(10), pp. 1455–1479.
Bhattacharya,  S., Hatwal,  H., and Ghosh,  A., 1998, “A Recursive Formula for the Inverse of the Inertia Matrix of a Parallel Manipulator,” Mech. Mach. Theory, 33(7), pp. 957–964.
Dasgupta,  B., and Mruthyunjaya,  T. S., 1998, “Singularity Free Path Planning for the Stewart Platform Manipulator,” Mech. Mach. Theory, 33(6), pp. 711–725.
Wang,  J., and Gosselin,  M. C., 2003, “Kinematic Analysis and Design of Kinematically Redundant Parallel Mechanisms,” J. Mech. Des., 126, pp. 109–126.
Wang,  Y. X., Wang,  Y. M., and Liu,  X. S., 2003, “Bifurcation Property and Persistence of Configurations for Parallel Mechanisms,” Chin. Sci. (Series E),46(1), pp. 1–9.
Yang, T. L., 1986, Mechanical System Basic Theory—Structure, Kinematics, and Dynamics, Machine Industry Press, Beijing.
Seydel, R., 1994, Practical Bifurcation and Stability Analysis: from Equilibrium to Chaos, Springer-Verlag, New York.


Grahic Jump Location
A symmetrical Stewart parallel manipulator
Grahic Jump Location
Configuration bifurcation graph of symmetrical Stewart parallel manipulators (li=1.5,l=2,3,[[ellipsis]]6)
Grahic Jump Location
Configuration bifurcation characteristic of a symmetrical Stewart parallel manipulator
Grahic Jump Location
Bifurcation curves expressed by components of the position and orientation




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