Structural Engineering and Mechanics

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Mesh topological form design and geometrical configuration generation for cable-network antenna reflector structures

  • Liu, Wang (College of Aerospace Science and Engineering, National University of Defense Technology) ;
  • Li, Dong-Xu (College of Aerospace Science and Engineering, National University of Defense Technology) ;
  • Jiang, Jian-Ping (College of Aerospace Science and Engineering, National University of Defense Technology)
  • Received : 2012.07.03
  • Accepted : 2013.01.11
  • Published : 2013.02.10
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Abstract

A well-designed mesh shape of the cable net is of essential significance to achieve high performance of cable-network antenna reflectors. This paper is concerned with the mesh design problem for such antenna reflector structure. Two new methods for creating the topological forms of the cable net are first presented. Among those, the cyclosymmetry method is useful to generate different polygon-faceted meshes, while the topological mapping method is suitable for acquiring triangle-faceted meshes with different mesh grid densities. Then, the desired spatial paraboloidal mesh geometrical configuration in the state of static equilibrium is formed by applying a simple mesh generation approach based on the force density method. The main contribution of this study is that a general technical guide for how to create the connectivities between the nodes and members in the cable net is provided from the topological point of view. With the new idea presented in this paper, multitudes of mesh configurations with different net patterns can be sought by a certain rule rather than by empiricism, which consequently gives a valuable technical reference for the mesh design of this type of cable-network structures in the engineering.

Keywords

References

  1. Agrawal, P.K., Anderson, M.S., and Card, M.F. (1981), "Preliminary design of large reflectors with flat facets", IEEE Trans. Antenn. Propagat., AP-29(4), 688-694.
  2. Hernández-Montes, E., Jurado-Pina R. and Bayo E. (2006), "Topological mapping for tension structures", J. Struct. Eng.-ASCE, 132(6), 970-977. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:6(970)
  3. Malerba, P.G., Patelli, M. and Quagliaroli, M. (2012), "An extended force density method for the form finding of cable systems with new forms", Struct. Eng. Mech., 42(2), 191-210. https://doi.org/10.12989/sem.2012.42.2.191
  4. Morterolle, S., Maurin, B., Quirant, J. and Dupuy, C. (2012), "Numerical form-finding of geotensoid tension truss for mesh reflector", Acta Astronaut., 76, 154-163. https://doi.org/10.1016/j.actaastro.2012.02.025
  5. Schek, H.J. (1974), "The force density method for form finding and computation of general networks", Comput. Methods Appl. Mech. Eng., 3(1), 115-134. https://doi.org/10.1016/0045-7825(74)90045-0
  6. Shi, H., Yang, B., Thomson, M. and Fang, H. (2012), "Automatic surface mesh generation for design of space deployable mesh reflectors", Proceedings of the 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA Paper 2012-1840, Honolulu, Hawaii, April.
  7. Sophianopoulos, D.S. and Asteris, P.G. (2006), "Numerical method for the undamped forced dynamics of steel cable network structures", Struct. Eng. Mech., 23(4), 449-454. https://doi.org/10.12989/sem.2006.23.4.449
  8. Thomson, M. (2002), "$Astromesh^{TM}$ deployable reflectors for Ku- and Ka- band commercial satellites", Proceedings of the 20th AIAA International Communication Satellite Systems Conference and Exhibit, AIAA Paper 2002-2032, Quebec, Canada, May.
  9. Tibert, A.G. (2003), "Optimal design of tension truss antennas", Proceedings of the 44th AIAA/ASME/ASCE/AH S Structures, Structural Dynamics, and Materials Conference, AIAA 2003-1629, Norfolk, Virginia, April.
  10. Tibert, A.G. and Pellegrino, S. (2002), "Deployable tensegrity reflectors for small satellites", J. Spacecraft Rockets, 39(5), 701-709. https://doi.org/10.2514/2.3867
  11. Zhang, J.Y. and Ohsaki, M. (2006), "Adaptive force density method for form-finding problem of tensegrity structures", Int. J. Solids Struct., 43(18-19), 5658-5673. https://doi.org/10.1016/j.ijsolstr.2005.10.011
  12. Zhang, Q.L., Chen, L.X., Luo, X.Q. and Yang, Z.L. (2006), "Equivalent transform from the force-densities of cable nets to the stresses of membrane elements", Struct. Eng. Mech., 26(4), 479-482.

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