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Vol. 46 (2005) No. 3 December n. 149

Kinematic Analysis of Deployable Toroidal Spatial Truss Structures for Large Mesh Antenna

< Table of Contents for Vol. 46 (2005) No. 3 December n. 149
  • Journal Name: Journal of the International Association for Shell and Spatial Structures (J. IASS)
  • ISSN: (Electronic Version) 1996-9015
  • ISSN: (Print Version) 1028-365X
  • Issue: Vol. 46 (2005) No. 3 December n. 149
  • Pages: 195-2004
  • Title: Kinematic Analysis of Deployable Toroidal Spatial Truss Structures for Large Mesh Antenna
  • Author(s): M. Zhao and F. Guan
  • Keywords: Kinematic Analysis, Deployable Toroidal Spatial Truss Structures, Antenna
Moore-Penrose generalized inverse method is applied to kinematic analysis of a large space antenna composed of a reflective mesh, a cable network and a deployable toroidal truss that also acts as the supporting structure. Dynamic equations of deployable space truss structures are formulated using dependent Cartesian coordinates of idealized truss joints as variables. By integrating the constraint equations into the dynamic equations, a group of revised dynamic equations with no coefficients is formulated. The number of these equations is the same as the number of the structure’s unconstrained degrees of freedom. The constraint violations of numerical solution are corrected using a new active correction method. To a deployable toroidal truss structure for large mesh antenna, a new mathematic algorithm is developed to formulate the constraint equations and the relevant Jacobian matrices. A numerical example is presented to demonstrate the effectiveness of the analytical process. It is concluded that dynamics simulation can be an effective design tool to analytically verify deployment of large mesh reflectors.

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