Geometric Design and Kinematics of Curvilinear Deployable Structures

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During its early development, deployable structures were made using linear and polar scissor units. The discovery of angulated units, due to their unique properties, revolutionized the field and popularized radially deployable geometries. This paper examines deployable curvilinear geometries made of polar scissor and angulated scissor units. A comparative parametric study based on geometric and kinematic analyses is presented for two-dimensional rings and hemispherical grids. Position analysis provided insights into the influence of the geometric parameters on the deployment and folding of these structures. Deployable hemispherical grid structures made of meridians and parallels were examined and compared for their geometric design and kinematic characteristics. The merits and demerits of polar and angulated scissor units to form curvilinear geometries are discussed.
Original languageEnglish (US)
JournalProceedings of IASS Annual Symposia
Issue number13
StatePublished - 2017
EventThe International Association for Shell and Spatial Structures IASS2017 Symposium - Hamburg, Germany
Duration: Sep 25 2017Sep 29 2017


  • Deployable structure
  • scissor unit
  • polar unit
  • mobility
  • kinematics
  • hemispherical grid
  • angulated unit


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