Constraint-Based Limb Synthesis and Mobility-Change-Aimed Mechanism Construction

This paper proposes a new synthesis approach by using constraints for limb synthesis to target mobility-change in the mechanism construction. The limbs therefore produced have the facility to reconfigure the limb twist-system to change the screw system order for reconfigurability. This presents various reconfigurable limbs with geometric constraints of their joints based on the newly invented reconfigurable Hook (rT) joints. The procedure of the limb synthesis is put forward to fully utilize the property of the new joint for generating the reconfigurable limbs. The paper further presents a mobility-change condition to construct a metamorphic mechanism with the reconfigurable limbs. This gives a family of metamorphic parallel mechanisms that have the facility to change mobility in the range of 3- 6. A further family of metamorphic parallel mechanisms is proposed with a central strut. Their topological configuration change is investigated by examining the constraint change stemming from the phase alteration of the reconfigurable Hooke rT joint.

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

[2]  Jian S. Dai,et al.  A six-component contact force measurement device based on the Stewart platform , 2000 .

[3]  C. Gosselin.  Determination of the Workspace of 6-DOF Parallel Manipulators , 1990 .

[4]  Jian S. Dai,et al.  From Origami to a New Class of Centralized 3-DOF Parallel Mechanisms , 2007 .

[5]  J. R. Jones,et al.  Matrix Representation of Topological Changes in Metamorphic Mechanisms , 2005 .

[6]  K. H. Hunt,et al.  Structural Kinematics of In-Parallel-Actuated Robot-Arms , 1983 .

[7]  Qinchuan Li,et al.  Parallel Mechanisms With Bifurcation of Schoenflies Motion , 2009, IEEE Transactions on Robotics.

[8]  Qiong Jin,et al.  Position and Orientation Characteristic Equation for Topological Design of Robot Mechanisms , 2009 .

[9]  W. Chung,et al.  Kinematic condition analysis of three-DOF pure translational parallel manipulators , 2003 .

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

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

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

[13]  Yuefa Fang,et al.  Structure synthesis of a class of 3-DOF rotational parallel manipulators , 2004, IEEE Transactions on Robotics and Automation.

[14]  Pietro Fanghella,et al.  Parallel robots that change their group of motion , 2006, ARK.

[15]  Antonio Frisoli,et al.  SYNTHESIS BY SCREW ALGEBRA OF TRANSLATING IN-PARALLEL ACTUATED MECHANISMS , 2000 .

[16]  Q. C. Li,et al.  General Methodology for Type Synthesis of Symmetrical Lower-Mobility Parallel Manipulators and Several Novel Manipulators , 2002, Int. J. Robotics Res..

[17]  Zhen Huang,et al.  Study on the kinematic characteristics of 3 DOF in-parallel actuated platform mechanisms , 1996 .

[18]  Qiong Jin,et al.  Theory for Topology Synthesis of Parallel Manipulators and Its Application to Three-Dimension-Translation Parallel Manipulators , 2004 .

[19]  Hong-Sen Yan,et al.  Topological Representations and Characteristics of Variable Kinematic Joints , 2006 .

[20]  J. Dai,et al.  Mobility in Metamorphic Mechanisms of Foldable/Erectable Kinds , 1998 .

[21]  Jian S. Dai,et al.  Mobility Change in Two Types of Metamorphic Parallel Mechanisms , 2009 .

[22]  J. M. Hervé,et al.  Structural synthesis of 'parallel' robots generating spatial translation , 1991, Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments.

[23]  Jian S. Dai,et al.  Biological Modeling and Evolution Based Synthesis of Metamorphic Mechanisms , 2008 .

[24]  Marco Carricato,et al.  A Family of 3-DOF Translational Parallel Manipulators , 2003 .

[25]  C. Gosselin,et al.  Type Synthesis of 3-DOF Spherical Parallel Manipulators Based on Screw Theory , 2004 .

[26]  S W E Earles,et al.  Forward Positional Analysis for the General 4–6 In-Parallel Platform , 1995 .

[27]  Giacomo Bianchi,et al.  A general approach for Self-locking Analysis in Closed Kinematic Chains , 2007 .

[28]  Zhen Huang,et al.  Kinematic characteristics analysis of 3 DOF in-parallel actuated pyramid mechanism☆ , 1996 .

[29]  C. Gosselin,et al.  Type Synthesis of Parallel Mechanisms With Multiple Operation Modes , 2007 .

[30]  Xin-Jun Liu,et al.  A new family of spatial 3-DoF fully-parallel manipulators with high rotational capability , 2005 .

[31]  Lung-Wen Tsai,et al.  Kinematic Analysis of 3-DOF Position Mechanisms for Use in Hybrid Kinematic Machines , 2002 .

[32]  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.

[33]  Hong-Sen Yan,et al.  On the Mobility and Configuration Singularity of Mechanisms With Variable Topologies , 2007 .

[34]  J. Merlet.  Jacobian, Manipulability, Condition Number, and Accuracy of Parallel Robots , 2006 .

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

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

[37]  Jorge Angeles,et al.  Singularity analysis of three-legged, six-DOF platform manipulators with URS legs , 2003 .

[38]  J. Dai,et al.  Geometric synthesis of spatial parallel manipulators with fewer than six degrees of freedom , 2002 .

[39]  Jian S. Dai,et al.  Geometric analysis and synthesis of the metamorphic robotic hand , 2007 .

[40]  Hai-Jun Su,et al.  Trajectory Planning for Constrained Parallel Manipulators , 2003 .

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