TENSEGRITY STRUCTURES: WHY ARE THEY STABLE?

By R. Connelly. 2002

145 citations recorded by the source corpus.

Subfields: Architecture, Civil and Structural Engineering

View Paper: https://www.semanticscholar.org/paper/e2657bff129156db2d9afbc87b53c01cacb627f1

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. Jaehong Lee
2. Hoang Chi Tran
3. Josep Maria Mirats i Tur
4. Sergi Hernandez Juan
5. G. Tibert
6. Sérgio Roberto Matiello Pellegrino
7. Matthew P. Bell
8. A. Tibert

In Civil and Structural Engineering

1. Jaehong Lee
2. Hoang Chi Tran
3. Josep Maria Mirats i Tur
4. Sergi Hernandez Juan
5. G. Tibert
6. Sérgio Roberto Matiello Pellegrino
7. Matthew P. Bell
8. A. Tibert

Citations in the corpus

• Tensegrity frameworks: Static analysis review. (2008, background): “Connelly [16] showed that a super stable tensegrity framework is also globally rigid and pre-stress stable.”
• Deployable Tensegrity Structures for Space Applications (2002, background): “The force density in the strut is chosen such that the structure is super stable [23,24].”
• Advanced form-finding for cable-strut structures (2010, background): “(6) becomes Dx ¼ 0 ð9aÞ Dy ¼ 0 ð9bÞ Dz ¼ 0 ð9cÞ where D known as force density matrix (Estrada et al., 2006; Tibert and Pellegrino, 2003) or stress matrix (Connelly, 1982, 1995, 1999) can be written directly by Connelly and Terrell (1995, 1999) and Vassart and Motro (1999) without using Eq.”
• Advanced form-finding of tensegrity structures (2010, unknown): “(6) becomes: Dx 1⁄4 0; ð9aÞ Dy 1⁄4 0; ð9bÞ Dz 1⁄4 0; ð9cÞ where D known as force density matrix [14,10] or stress matrix [17–19] can be written directly by [7,18,19] without using Eq.”
• Form-finding of tensegrity structures with multiple states of self-stress (2011, background): “It implies D is positive semi-definite and there is no nontrivial affine motion in the null space of the geometrical stiffness matrix KG. Any tensegrity structure falling into this case is super stable regardless of material properties and level of self-stress coefficients [27, 36 ,38].”
• Flexible Object Manipulation (2010, background): “This type of problem is briefly mentioned in Connelly’s work on tensegrities and rigidity theory [20].”
• Initial self-stress design of tensegrity grid structures (2010, background): “D is positive semi-definite, the structure is super stable regardless of material properties and level of force density coefficients [22].”
• Review of Form-Finding Methods for Tensegrity Structures (2003, background): “The force density in the strut is chosen such that the structure is super stable [32,33].”