DOF and Kinematic Analysis of a Deployable Truss Antenna Assembled by Tetrahedral Elements

Deployable structure has played a more and more important role in the large-caliber antennas. This paper deals with the degree of freedom (DOF) and kinematics of a kind of deployable truss antenna composed of tetrahedral elements. Firstly, based on the reciprocal screw theory the DOF of one tetrahedral element is analyzed. Then, the equivalent mechanism of the minimum composite unit of the deployable truss antenna is obtained according to the characteristic of the DOF of the tetrahedral element. Sequentially, the DOF of the deployable truss antenna is derived. Further, the analytical expressions of the positions and velocities of the connection nodes of the antenna during its deploying/folding process are formulated by resorting to the coordinate transformation matrices. Finally, the correctness of the kinematic analysis of the deployable truss antenna is verified by simulation based on the Adams software.

[1]  G. Kiper,et al.  A family of deployable polygons and polyhedra , 2008 .

[2]  Hiroaki Tanaka.  Design optimization studies for large-scale contoured beam deployable satellite antennas , 2006 .

[3]  A. Abedian,et al.  Design of tensegrity structures for supporting deployable mesh antennas , 2011 .

[4]  Zhong You.  Deployable Structure of Curved Profile for Space Antennas , 2000 .

[5]  Jian S. Dai,et al.  Geometric Constraint of an Evolved Deployable Ball Mechanism , 2011 .

[6]  Yan Xu,et al.  Structural design and static analysis of a double-ring deployable truss for mesh antennas , 2012 .

[7]  Clément Gosselin,et al.  Expandable Polyhedral Mechanisms Based on Polygonal One-Degree-of-Freedom Faces , 2006 .

[8]  Mei Chen,et al.  New Conceptual Structure Design for Affordable Space Large Deployable Antenna , 2015, IEEE Transactions on Antennas and Propagation.

[9]  Tuanjie Li,et al.  Deployment Analysis and Control of Deployable Space Antenna , 2012, AISM 2010.

[10]  Yan Xu,et al.  Structure–electronic synthesis design of deployable truss antenna , 2013 .

[11]  Jian S. Dai,et al.  Design and kinematic analysis of a novel prism deployable mechanism , 2013 .

[12]  Tuanjie Li,et al.  Deployment dynamic analysis of deployable antennas considering thermal effect , 2009 .

[13]  Yaozhi Luo,et al.  Motion analysis of deployable structures based on the rod hinge element by the finite particle method , 2009 .

[14]  V. I. Gulyayev,et al.  Large Deployable Space Antennas Based on Usage of Polygonal Pantograph , 2005 .

[15]  Fuling Guan,et al.  Kinematic analysis of deployable toroidal spatial truss structures for large mesh antenna , 2005 .

[16]  Zhao Meng-liang,et al.  Kinematic Analysis of the Deployable Truss Structures for Space , 2012 .

[17]  Hui Yang,et al.  Topology structure synthesis and analysis of spatial pyramid deployable truss structures for satellite SAR antenna , 2014 .

[18]  James K. Guest,et al.  Structural optimization and model fabrication of a double-ring deployable antenna truss , 2014 .