A Complete Geometric Singular Characterization of the 6/6 Stewart Platform

[1]  Offer Shai,et al.  Geometric properties of Assur graphs , 2008, Eur. J. Comb..

[2]  Moshe Shoham,et al.  Singularity condition of six-degree-of-freedom three-legged parallel robots based on grassmann-cayley algebra , 2006, IEEE Transactions on Robotics.

[3]  J. Michael McCarthy,et al.  Conditions for line‐based singularities in spatial platform manipulators , 1998 .

[4]  Jorge Angeles,et al.  Spatial kinematic chains , 1982 .

[5]  M. Shoham,et al.  Singularity analysis of a class of parallel robots based on Grassmann–Cayley algebra , 2006 .

[6]  Offer Shai,et al.  Adjustable Tensegrity Robot Based on Assur Graph Principle , 2009 .

[7]  Offer Shai,et al.  A MODEL OF CATERPILLAR LOCOMOTION BASED ON ASSUR TENSEGRITY STRUCTURES , 2011 .

[8]  Y. Tokad,et al.  On the Kinematics of Three-Link Spatial Cam Mechanisms , 1998 .

[9]  Boris Mayer St-Onge,et al.  Singularity Analysis and Representation of the General Gough-Stewart Platform , 2000, Int. J. Robotics Res..

[10]  Jean-Pierre Merlet.  Singular Configurations of Parallel Manipulators and Grassmann Geometry , 1989, Int. J. Robotics Res..

[11]  Zhen Huang,et al.  Position-singularity analysis of a special class of the Stewart parallel mechanisms with two dissimilar semi-symmetrical hexagons , 2012, Robotica.

[12]  A. Ghosal,et al.  Geometric characterization and parametric representation of the singularity manifold of a 6–6 Stewart platform manipulator , 2006 .

[13]  Kenneth H. Hunt,et al.  Identification of the Special Configurations of the Octahedral Manipulator using the Pure Condition , 2002, Int. J. Robotics Res..

[14]  K. H. Hunt,et al.  Kinematic geometry of mechanisms , 1978 .

[15]  David Antin,et al.  100 great problems of elementary mathematics : their history and solution , 1966 .

[16]  Offer Shai,et al.  The Unique Engineering Properties of Assur Groups/Graphs, Assur Kinematic Chains, Baranov Trusses and Parallel Robots , 2016 .

[17]  Moshe Shoham,et al.  Application of Grassmann—Cayley Algebra to Geometrical Interpretation of Parallel Robot Singularities , 2009, Int. J. Robotics Res..

[18]  E F Fichter,et al.  A Stewart Platform- Based Manipulator: General Theory and Practical Construction , 1986 .

[19]  Offer Shai,et al.  Analysis of kinematic screws that determine the topology of singular zones of parallel-structure robots , 2016 .

[20]  D. Hilbert,et al.  Geometry and the Imagination , 1953 .

[21]  Alon Wolf,et al.  Investigation of Parallel Manipulators Using Linear Complex Approximation , 2003 .

[22]  Jian S. Dai,et al.  Variable motion/force transmissibility of a metamorphic parallel mechanism with reconfigurable 3T and 3R motion , 2015 .

[23]  Jinsong Wang,et al.  A New Approach for Singularity Analysis and Closeness Measurement to Singularities of Parallel Manipulators , 2012 .

[24]  D. Stewart.  A Platform with Six Degrees of Freedom , 1965 .

[25]  Clément Gosselin,et al.  Singularity analysis of closed-loop kinematic chains , 1990, IEEE Trans. Robotics Autom..