Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki

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Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki

  1. 1. Symmetric Prismatic Tensegrity Structures Jingyao Zhang Simon D. Guest Makoto Ohsaki
  2. 2. Objective Prismatic Tensegrity Structure Dihedral Symmetry Self-equilibrated Configuration Stability Properties Connectivity Configuration Connectivity 2/13 D 3 1, 1 D 4 1, 1 D 5 1, 1 D 9 1, 1
  3. 3. Configuration The simplest prismatic tensegrity structure 6 Nodes 3 Struts 6 Horizontal 3 Vertical 3/13 D n h,v
  4. 4. Dihedral Symmetry D 3 Symmetry three-fold rotation 3 two-fold rotations n =3 4/13 D n h,v C 21 , C 22 , C 23 C , C 1 2 3 3 E (C ) 3 0
  5. 5. Connectivity – Horizontal Cables h =1 h =2 1 2 3 4 0 6 7 8 9 5 1 3 4 0 6 7 8 9 5 2 5/13 D n h ,v
  6. 6. Connectivity – Vertical Cables v =1 v =2 1 3 4 0 6 7 8 9 5 2 1 3 4 0 6 7 8 9 5 2 6/13 D n h, v
  7. 7. Self-equilibrium A singular symmetry 7/13
  8. 8. Stability Criterion infinite stiffness Block Diagonalisation M – mechanism 8/13
  9. 9. Stability Stable ? Stable Stable Stable Unstable Divisible Conditionally Stable 9/13
  10. 10. Divisible Structures = + = + 10/13 D 6 2,2
  11. 11. Numerical Investigation r H 11/13
  12. 12. Catalogue 9 Please note in the paper that there are some mistakes on n , h and v . 12/13
  13. 13. Summary Self-equilibrated Configuration Stability Connectivity Horizontal Cable Vertical Cable Configuration Height / Radius Prismatic Tensegrity Structure Symmetry http:// tensegrity.AIStructure.com/prismatic Divisibility 13/13 D 7 3,2

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