Symmetric Prismatic Tensegrity Structures

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Symmetric Prismatic Tensegrity Structures
Jingyao Zhang Simon D. Guest Makoto Ohsaki
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Objective
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Prismatic Tensegrity Structure
Dihedral Symmetry
Self-equilibrated Configuration
Stability Properties
Connectivity
Configuration
Connectivity
3
Configuration
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6 Nodes
3 Struts
6 Horizontal
3 Vertical
The simplest prismatic tensegrity structure
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Dihedral Symmetry
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n3
three-fold rotation
3 two-fold rotations
D3 Symmetry
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Connectivity Horizontal Cables
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3
4
2
0
1
h1
5
6
9
7
8
3
4
2
0
1
h2
5
6
9
7
8
6
Connectivity Vertical Cables
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3
4
2
0
1
v1
5
6
9
7
8
3
4
2
1
0
v2
6
5
9
7
8
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Self-equilibrium
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A singular
symmetry
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Stability Criterion
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infinite stiffness
Block Diagonalisation
M mechanism
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Stability
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Stable
Stable
Stable
Stable
?
Unstable
Divisible
Conditionally Stable
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Divisible Structures
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Numerical Investigation
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r
H
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Catalogue
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Please note in the paper that there are some
mistakes on n, h and v.
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Summary
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Prismatic Tensegrity Structure
Self-equilibrated Configuration
Symmetry
Stability
Divisibility
Connectivity
Horizontal Cable
Vertical Cable
Configuration
Height / Radius
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