Synthesis of Deployable/Foldable Single Loop Mechanisms With Revolute Joints

This paper presents a geometric approach for design and synthesis of deployable/foldable single loop mechanisms with pure revolute joints. The basic kinematic chains with symmetric mobility are first synthesized, and an intuitive geometric method is proposed for the mobility analysis of these kinematic chains. The deployable/foldable single loop mechanisms can be regarded as a combination of the basic kinematic chains with nontrivial mobility intersection, under this approach, the 5R to 8R single loop mechanisms with symmetric mobility are synthesized systematically. The method for determining the positions of the joint axes on polyhedral links is also proposed, so that the mechanism can be fully deployed or fully folded without suffering from physical interference. Under this framework, a class of novel deployable/foldable single loop mechanisms is developed. The computer-aided design models for typical examples are built to illustrate their feasibility. [DOI: 10.1115/1.4004029].

[1]  Charis J. Gantes,et al.  Deployable Structures : Analysis and Design , 2001 .

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

[3]  A. Barton,et al.  A review on large deployable structures for astrophysics missions , 2010 .

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

[5]  Yan Chen,et al.  Design of structural mechanisms , 2003 .

[6]  Kwun-Lon Ting,et al.  Mobility Criteria of Planar Single-Loop N-Bar Chains With Prismatic Joints , 2008 .

[7]  G. Gogu.  Mobility of mechanisms: a critical review , 2005 .

[8]  Zhong You,et al.  Two-fold symmetrical 6R foldable frame and its bifurcations , 2009 .

[9]  Zhong You,et al.  Threefold-symmetric Bricard linkages for deployable structures , 2005 .

[10]  Shiyu Liu,et al.  Myard linkage and its mobile assemblies , 2009 .

[11]  Z. Huang,et al.  Type Synthesis of Symmetrical Lower-Mobility Parallel Mechanisms Using the Constraint-Synthesis Method , 2003, Int. J. Robotics Res..

[12]  F. E. Myard.  Contribution à la géométrie des systèmes articulés , 1931 .

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

[14]  Yan Chen,et al.  Square deployable frames for space applications. Part 2: Realization , 2007 .

[15]  Robert Levy,et al.  Evaluation of Deployable Structures for Space Enclosures , 2001 .

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

[17]  J. M. McCarthy,et al.  Bennett's linkage and the cylindroid , 2002 .

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

[19]  Zhong You,et al.  On mobile assemblies of Bennett linkages , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.