Compositional Submanifolds of Prismatic–Universal–Prismatic and Skewed Prismatic–Revolute– Prismatic Kinematic Chains and Their Derived Parallel Mechanisms

[1]  Jian S. Dai,et al.  Geometry constraint and branch motion evolution of 3-pup parallel mechanisms with bifurcated motion , 2013 .

[2]  Jadran Lenarčič,et al.  Advances in Robot Kinematics: Motion in Man and Machine , 2010 .

[3]  Gerardo I. Pérez-Soto,et al.  Reconfigurable Mechanisms From the Intersection of Surfaces , 2016 .

[4]  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.

[5]  J. Dai,et al.  Unified Kinematics and Singularity Analysis of a Metamorphic Parallel Mechanism With Bifurcated Motion , 2013 .

[6]  J. Jesús Cervantes-Sánchez,et al.  New Considerations on the Theory of Type Synthesis of Fully Parallel Platforms , 2008 .

[7]  Manfred Husty,et al.  Reconfiguration analysis of a 4-RUU parallel manipulator , 2016 .

[8]  J. Dai.  Euler–Rodrigues formula variations, quaternion conjugation and intrinsic connections , 2015 .

[9]  Xianwen Kong,et al.  Type Synthesis of Parallel Mechanisms , 2010, Springer Tracts in Advanced Robotics.

[10]  J. M. Hervé,et al.  Translational parallel manipulators with doubly planar limbs , 2006 .

[11]  Charles W. Wampler,et al.  Interactions of Classical and Numerical Algebraic Geometry , 2009 .

[12]  Manfred Husty,et al.  A complete kinematic analysis of the SNU 3-UPU parallel robot , 2009 .

[13]  Jian S. Dai,et al.  Synthesis, Mobility, and Multifurcation of Deployable Polyhedral Mechanisms With Radially Reciprocating Motion , 2014 .

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

[15]  Chung-Ching Lee,et al.  Generators of the product of two Schoenflies motion groups , 2010 .

[16]  Chung-Ching Lee,et al.  Type synthesis of primitive Schoenflies-motion generators , 2009 .

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

[18]  J. Dai,et al.  Constraint analysis and bifurcated motion of the 3PUP parallel mechanism , 2012 .

[19]  Zexiang Li,et al.  A Geometric Theory for Analysis and Synthesis of Sub-6 DoF Parallel Manipulators , 2007, IEEE Transactions on Robotics.

[20]  José María Rico Martínez,et al.  On Mobility Analysis of Linkages Using Group Theory , 2003 .

[21]  Jian S. Dai,et al.  Multi-furcation in a derivative queer-square mechanism , 2014 .

[22]  Jian S. Dai,et al.  Interrelationship between screw systems and corresponding reciprocal systems and applications , 2001 .

[23]  J. M. Hervé,et al.  Cartesian Parallel Manipulators With Pseudoplanar Limbs , 2007 .

[24]  J. M. Hervé,et al.  A Family of Novel Orientational 3-DOF Parallel Robots , 2002 .

[25]  Xianwen Kong,et al.  Reconfiguration analysis of a 3-DOF parallel mechanism using Euler parameter quaternions and algebraic geometry method , 2014 .

[26]  Zexiang Li,et al.  Inversion Symmetry of the Euclidean Group: Theory and Application to Robot Kinematics , 2016, IEEE Transactions on Robotics.

[27]  Loring W. Tu,et al.  An introduction to manifolds , 2007 .

[28]  Qinchuan Li,et al.  Type synthesis of 3R2T 5-DOF parallel mechanisms using the Lie group of displacements , 2004, IEEE Transactions on Robotics and Automation.

[29]  Jian S. Dai,et al.  Inverse Kinematics and Motion Simulation of a 2-DOF Parallel Manipulator with 3-PUP Legs , 2009 .

[30]  Jian S. Dai,et al.  Finite Displacement Screw Operators With Embedded Chasles' Motion , 2012 .

[31]  C. Galletti,et al.  Metric Relations and Displacement Groups in Mechanism and Robot Kinematics , 1995 .

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

[33]  M. Callegari,et al.  A new class of reconfigurable parallel kinematic machines , 2014 .