Reconfiguration of Spatial Metamorphic Mechanisms

This paper investigates reconfiguration of metamorphic mechanisms as a typical character of topological change of the mechanisms. Metamorphic mechanisms with reconfigurable topology provide changed topological states and subsequently change the mobility to give various subphase mechanisms. This paper investigates the built-in spatial modules extended with metamorphic characteristics to develop a metamorphosis operation based on building blocks in the form of spatial kinematic pairs and associated links. The composition principle of a metamorphic mechanism gives the mechanism characteristics and generates subphase working mechanisms. These working mechanisms change and develop into different forms in an evolutionary process of topological change and the proposed module composition principle in metamorphic mechanisms leads to the development of module topology variation and reconfiguration operations based on algebraic properties of Lie displacement-subgroup. The topology transformation is further used for configuration aggregation and degeneration and all the linkage operations are based on set theoretic, leading to topological reconfiguration of metamorphic mechanisms that maps a source metamorphic mechanism into various subphase configuration. This paper demonstrates the principle with case studies from a metamorphic mechanism generator to subphase mechanisms and vice versa.

[1]  Jian S. Dai,et al.  Screw System Analysis of Parallel Mechanisms and Applications to Constraint and Mobility Study , 2004 .

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

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

[4]  Hod Lipson,et al.  A Relaxation Method for Simulating the Kinematics of Compound Nonlinear , 2006 .

[5]  Xianwen Kong,et al.  Type Synthesis of 3-DOF Translational Parallel Manipulators Based on Screw Theory , 2004 .

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

[7]  Gregory S. Chirikjian,et al.  A useful metric for modular robot motion planning , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[8]  Ting-Li Yang,et al.  A General Formula of Degree of Freedom for Parallel Mechanisms , 2008 .

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

[10]  Charles W. Wampler.  Displacement Analysis of Spherical Mechanisms Having Three or Fewer Loops , 2004 .

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

[12]  Janusz,et al.  Geometrical Methods in Robotics , 1996, Monographs in Computer Science.

[13]  J. M. Hervé.  The Lie group of rigid body displacements, a fundamental tool for mechanism design , 1999 .

[14]  C. Galletti,et al.  Single-loop kinematotropic mechanisms , 2001 .

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

[16]  Jian S. Dai,et al.  THEORETICAL FOUNDATION OF METAMORPHIC MECHANISM AND ITS SYNTHESIS , 2007 .

[17]  K. H. Hunt,et al.  Geometry of screw systems—2: classification of screw systems , 1990 .

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

[19]  Larry L. Howell,et al.  Simplified Manufacturing Through a Metamorphic Process for Compliant Ortho-Planar Mechanisms , 2005 .

[20]  G. Gogu.  Structural synthesis of fully-isotropic translational parallel robots via theory of linear transformations , 2004 .

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

[22]  Rank and Mobility of Single Loop Kinematic Chains , 2008 .

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

[24]  Karel Hrbacek,et al.  Introduction to Set Theory , 1978 .

[25]  Larry L. Howell,et al.  Design Space of Single-Loop Planar Folded Micro Mechanisms With Out-of-Plane Motion , 2006 .

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

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

[28]  I-Ming Chen,et al.  Mechatronic Design and Locomotion of Amoebot - A Metamorphic Underwater Vehicle , 2003, J. Field Robotics.

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