Finite Displacement Screw Operators With Embedded Chasles' Motion

[1]  Jian S. Dai,et al.  Topology and Constraint Analysis of Phase Change in the Metamorphic Chain and Its Evolved Mechanism , 2010 .

[2]  I. A. Parkin,et al.  A third conformation with the screw systems: Finite twist displacements of a directed line and point☆ , 1992 .

[3]  Andreas Müller,et al.  Lie Group Modeling and Forward Dynamics Simulation of Multibody Systems. Part 1 : Topology and Kinematics , 2009 .

[4]  Jian S. Dai,et al.  Constraint-Based Limb Synthesis and Mobility-Change-Aimed Mechanism Construction , 2011 .

[5]  S. Demir Matrix realization of dual quaternionic electromagnetism , 2007 .

[6]  David Zarrouk,et al.  A Note on the Screw Triangle , 2011 .

[7]  Hai-Jun Su,et al.  Screw Theory Based Methodology for the Deterministic Type Synthesis of Flexure Mechanisms , 2011 .

[8]  I. A. Parkin,et al.  Finite displacements of points, planes, and lines via screw theory , 1995 .

[9]  Hai-Jun Su Mobility Analysis of Flexure Mechanisms via Screw Algebra , 2011 .

[10]  J. R. Jones,et al.  Null–space construction using cofactors from a screw–algebra context , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[11]  J. Denavit,et al.  A kinematic notation for lower pair mechanisms based on matrices , 1955 .

[12]  J. Dai An historical review of the theoretical development of rigid body displacements from Rodrigues parameters to the finite twist , 2006 .

[13]  A. T. Yang,et al.  Application of Dual-Number Quaternion Algebra to the Analysis of Spatial Mechanisms , 1964 .

[14]  Clifford,et al.  Preliminary Sketch of Biquaternions , 1871 .

[15]  Gregory S. Chirikjian,et al.  O(n) mass matrix inversion for serial manipulators and polypeptide chains using Lie derivatives , 2007, Robotica.

[16]  Jian S. Dai,et al.  A Linear Algebraic Procedure in Obtaining Reciprocal Screw Systems , 2003, J. Field Robotics.

[17]  A. T. Yang,et al.  Application of Dual-Number Matrices to the Inverse Kinematics Problem of Robot Manipulators , 1985 .

[18]  C. A. McMahon,et al.  CADCAM: Principles, Practice and Manufacturing Management , 1999 .

[19]  Alba Perez-Gracia,et al.  Synthesis of Spatial RPRP Closed Linkages for a Given Screw System , 2011 .

[20]  Chung-Ching Lee,et al.  Isoconstrained Parallel Generators of Schoenflies Motion , 2011 .

[21]  Chintien Huang,et al.  Analytic expressions for the finite screw systems , 1994 .

[22]  Bahram Ravani,et al.  Mappings of Spatial Kinematics , 1984 .

[23]  S. Altmann Rotations, Quaternions, and Double Groups , 1986 .

[24]  J. M. McCarthy,et al.  Dual Orthogonal Matrices in Manipulator Kinematics , 1986 .

[25]  Chao Chen,et al.  Mobility Analysis of Parallel Manipulators and Pattern of Transform Matrix , 2010 .

[26]  J. Michael McCarthy,et al.  Introduction to theoretical kinematics , 1990 .

[27]  J. Hervé Analyse structurelle des mcanismes par groupe des dplacements , 1978 .

[29]  Kenneth H. Hunt,et al.  Unifying Screw Geometry and Matrix Transformations , 1991, Int. J. Robotics Res..

[30]  Chintien Huang,et al.  On the Regulus Associated With the General Displacement of a Line and Its Application in Determining Displacement Screws , 2010 .

[31]  Cayley On Three‐Bar Motion , 1875 .

[32]  L. Woo,et al.  Application of Line geometry to theoretical kinematics and the kinematic analysis of mechanical systems , 1970 .

[33]  Haitao Liu,et al.  A General Approach for Geometric Error Modeling of Lower Mobility Parallel Manipulators , 2011 .

[34]  D. R. Kerr,et al.  Finite Twist Mapping and its Application to Planar Serial Manipulators with Revolute Joints , 1995 .

[35]  H. Lipkin,et al.  Mobility of Overconstrained Parallel Mechanisms , 2006 .

[36]  Andreas Müller,et al.  On the Manifold Property of the Set of Singularities of Kinematic Mappings: Genericity Conditions , 2012 .

[37]  Nikos A. Aspragathos,et al.  A comparative study of three methods for robot kinematics , 1998, IEEE Trans. Syst. Man Cybern. Part B.

[38]  J. Rooney A Survey of Representations of Spatial Rotation about a Fixed Point , 1977 .

[39]  K. E. Bisshopp Rodrigues’ Formula and the Screw Matrix , 1969 .

[40]  J Rooney A Comparison of Representations of General Spatial Screw Displacement , 1978 .

[41]  Ferdinand Freudenstein,et al.  Kinematic Analysis of Spatial Mechanisms by Means of Screw Coordinates. Part 1—Screw Coordinates , 1971 .

[43]  Q. Liao,et al.  Constraint analysis on mobility change of a novel metamorphic parallel mechanism , 2010 .