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Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki
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Symmetric Prismatic Tensegrity Structures By Zhang, Guest, Ohsaki

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Transcript

  • 1. Symmetric Prismatic Tensegrity Structures Jingyao Zhang Simon D. Guest Makoto Ohsaki
  • 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. Configuration The simplest prismatic tensegrity structure 6 Nodes 3 Struts 6 Horizontal 3 Vertical 3/13 D n h,v
  • 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. 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. 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. Self-equilibrium A singular symmetry 7/13
  • 8. Stability Criterion infinite stiffness Block Diagonalisation M – mechanism 8/13
  • 9. Stability Stable ? Stable Stable Stable Unstable Divisible Conditionally Stable 9/13
  • 10. Divisible Structures = + = + 10/13 D 6 2,2
  • 11. Numerical Investigation r H 11/13
  • 12. Catalogue 9 Please note in the paper that there are some mistakes on n , h and v . 12/13
  • 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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