Tensegrity Gallery

# cables = 16
# struts = 5
stability = prestress stable
           --> [Ref. i]

# cables = 15
# struts = 4
stability = stable
# degrees of static indeterrminacy = 1
movie
           --> [Ref. ii]

# cables = 24
# struts = 5
stability = stable
# degrees of static indeterrminacy = 5
movie
locations of nodes
           --> [Ref. ii]

# cables = 29
# struts = 7
stability = unstable
# degrees of static indeterrminacy = 1
movie
locations of nodes
           --> [Ref. ii]

# cables = 40
# struts = 9
stability = stable
# degrees of static indeterrminacy = 1
movie
locations of nodes
           --> [Ref. ii]

# cables = 30
# struts = 7
stability = stable
# degrees of static indeterrminacy = 1
movie
locations of nodes
           --> [Ref. iii]

# cables = 30
# struts = 7
stability = stable
# degrees of static indeterrminacy = 1
movie
locations of nodes
           --> [Ref. iii]

# cables = 41
# struts = 9
stability = stable
# degrees of static indeterrminacy = 2
movie
locations of nodes
           --> [Ref. iii]

# cables = 38
# struts = 9
stability = prestress stable
# degrees of static indeterrminacy = 1
# degrees of kinematic indeterrminacy = 2
movie
locations of nodes
           --> [Ref. iv]

# cables = 37
# struts = 9
stability = prestress stable
# degrees of static indeterrminacy = 1
# degrees of kinematic indeterrminacy = 3
movie
locations of nodes
           --> [Ref. iv]

# cables = 33
# struts = 8
stability = prestress stable
# degrees of static indeterrminacy = 1
# degrees of kinematic indeterrminacy = 2
movie
locations of nodes
           --> [Ref. iv]

# cables = 28
# struts = 7
stability = prestress stable
# degrees of static indeterrminacy = 1
# degrees of kinematic indeterrminacy = 2
movie
locations of nodes
           --> [Ref. iv]

# cables = 28
# struts = 7
stability = prestress stable
# degrees of static indeterrminacy = 1
# degrees of kinematic indeterrminacy = 2
movie
locations of nodes
           --> [Ref. iv]

# cables = 23
# struts = 6
stability = prestress stable
# degrees of static indeterrminacy = 1
# degrees of kinematic indeterrminacy = 2
movie
locations of nodes
           --> [Ref. iv]

# cables = 18
# struts = 5
stability = prestress stable
# degrees of static indeterrminacy = 1
# degrees of kinematic indeterrminacy = 2
movie
locations of nodes
           --> [Ref. iv]

# cables = 42
# struts = 10
stability = prestress stable
# degrees of static indeterrminacy = 1
# degrees of kinematic indeterrminacy = 3
movie
locations of nodes
           --> [Ref. iv]

# cables = 28
# struts = 7
stability = prestress stable
# degrees of static indeterrminacy = 1
# degrees of kinematic indeterrminacy = 2
movie
locations of nodes
           --> [Ref. iv]

# cables = 23
# struts = 6
stability = prestress stable
# degrees of static indeterrminacy = 1
# degrees of kinematic indeterrminacy = 2
movie
locations of nodes
           --> [Ref. iv]

# cables = 33
# struts = 8
stability = prestress stable
only 7 different member lengths
  strut lengths:
    4.85410×4
    5.26060×2
    5.34197×2
  cable lengths:
    1.52463×4
    3.00000×22
    3.54123×6
    5.40000×1
movie
           --> [Ref. v]

# cables = 33
# struts = 8
stability = prestress stable
only 9 different member lengths
  strut lengths:
    4.85410×4
    4.97832×2
    5.34197×2
  cable lengths:
    0.54496×2
    1.52463×4
    2.46526×2
    2.80424×4
    3.00000×20
    5.40000×1
movie
           --> [Ref. v]

# cables = 33
# struts = 8
stability = prestress stable
only 9 different member lengths
  strut lengths:
    3.00000×2
    4.85083×2
    4.85410×2
    5.34197×2
  cable lengths:
    1.52463×4
    1.78529×6
    2.70750×4
    3.00000×18
    5.40000×1
movie
           --> [Ref. v]

# cables = 38
# struts = 9
stability = prestress stable
only 9 different member lengths
  strut lengths:
    4.85410×4
    4.97832×2
    5.26060×2
    5.40000×1
  cable lengths:
    0.54496×2
    1.52463×4
    3.00000×22
    3.54123×4
    3.81838×6
movie
           --> [Ref. v]

# cables = 18
# struts = 5
stability = prestress stable
all struts have different lengths
movie
           --> [Ref. v]

# cables = 23
# struts = 6
stability = prestress stable
all struts have different lengths
movie
           --> [Ref. v]

# cables = 28
# struts = 7
stability = prestress stable
all struts have different lengths
movie
           --> [Ref. v]

These tensegrity structures were generated by the methods described in the following articles:
  1. S. Ehara and Y. Kanno: Topology design of tensegrity structures via mixed integer programming. International Journal of Solids and Structures, 47, pp. 571-579 (2010).
  2. Y. Kanno: Topology optimization of tensegrity structures under compliance constraint: a mixed integer linear programming approach. Optimization and Engineering, to appear.
  3. Y. Kanno: Topology optimization of tensegrity structures under self-weight loads. Journal of the Operations Research Society of Japan, 55, pp. 125-145 (2012).
  4. Y. Kanno: Exploring new tensegrity structures via mixed integer programming. Structural and Multidisciplinary Optimization, 48, pp. 95-114 (2013).
  5. Y. Kanno: Generating asymmetric tensegrity structures via truss topology optimization (article). IASS Annual Symposium—Beyond the Limits of Man, Wroclaw, Poland, September 23–27, 2013.


(c) Yoshihiro Kanno (2011, 2012, 2013)


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