Zero stiffness tensegrity structures

By M. Schenk, Simon D. Guest, Just L. Herder. 2007

98 citations recorded by the source corpus.

Tension members with a zero rest length allow the construction of tensegrity structures that are in equilibrium along a continuous path of configurations, and thus exhibit mechanism-like properties; equivalently, they have zero stiffness. The zero-stiffness modes are not internal mechanisms, as they involve first-order changes in member length, but are a direct result of the use of the special tension members. These modes correspond to an infinitesimal affine transformation of the structure that preserves the length of conventional members, they hold over finite displacements and are present if and only if the directional vectors of those members lie on a projective conic. This geometric interpretation provides several interesting observations regarding zero stiffness tensegrity structures.

Subfields: Architecture, Civil and Structural Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/1a7ec3805915576a4c117b886943fced87680759

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Architecture

1. Simon D. Guest
2. M. Schenk

In Civil and Structural Engineering

1. M. Schenk
2. Simon D. Guest
3. Daolin Xu
4. J. Lou
5. Jiaxi Zhou
6. Yueying Zhang
7. Jaehong Lee
8. Hoang Chi Tran

In Mechanical Engineering

1. M. Schenk
2. Simon D. Guest
3. Jaehong Lee
4. Hoang Chi Tran
5. Jian Feng
6. Yao Chen
7. Pooya Sareh
8. Jingyao Zhang

Citations in the corpus

• On zero stiffness (2014, background): “While more elaborate than the previous methods in describing this example structure, the stiffness matrix approach has proven to be powerful in analysing more complex zero-stiffness structures.(60) It is interesting to consider the parallel of this example to a cable-stayed mast, where the tension i”
• The stiffness of tensegrity structures (2011, background): “It was shown in Schenk et al. (2007) that, for a self-stressed structure, the stress matrix S must have a nullity of at least 12 (and, it turns out, exactly 12 for both Tensegrity A and Tensegrity B), and can provide no stiffness to any of the 6 rigid body modes, or to any of the 6 affine…”
• On the analytical and experimental assessment of the performance of a quasi-zero-stiffness isolator (2014, background): “Schenk et al. (2007) gave a geometric interpretation for the zero stiffness tensegrity structures.”