A direct approach to design of geometry and forces of tensegrity systems

By Jingyao Zhang, Makoto Ohsaki, Yoshihiro Kanno. 2006

74 citations recorded by the source corpus.

In the process of designing a tensegrity system, some constraints are usually introduced for geometry and/or forces to ensure uniqueness of the solution, because the tensegrity systems are underdetermined in most cases. In this paper, a new approach is presented to enable designers to specify independent sets of axial forces and nodal coordinates consecutively, under the equilibrium conditions and the given constraints, to satisfy the distinctly different requirements of architects and structural engineers. The proposed method can be used very efficiently for practical applications because only linear algebraic equations are to be solved, and no equation of kinematics or material property is needed. Some numerical examples are given to show not only efficiency of the proposed method but also its ability of searching new configurations.

Subfields: Architecture, Civil and Structural Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/518098106b10e2ae6d376d053b9e92c7251b278c

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Citations in the corpus

Tensegrity frameworks: Static analysis review. (2008, methodology): “[84] developed a method to first find a set of axial forces compatible with a given structure and then find the corresponding nodal coordinates under equilibrium conditions and structure constraints.”
Advanced form-finding for cable-strut structures (2010, methodology): “…problem as presented in Masic et al. (2005); symmetric properties, member directions together with some initial axial forces and nodal coordinates (Zhang et al. (2006b)) must be specified in advance; (ii) a number of member lengths are specified at the start in a dynamic relaxation procedure and…”
Topology optimization of tensegrity structures under compliance constraint: a mixed integer linear programming approach (2013, background): “…including (Gomez Estrada et al. 2006; Li et al. 2010; Masic et al. 2005; Micheletti and Williams 2007; Murakami and Nishimura 2001; Pagitz and Mirats Tur 2009; Tran and Lee 2010; Zhang and Ohsaki 2006; Zhang et al. 2006); for surveys, see Juan and Mirats Tur (2008) and Tibert and Pellegrino (2003).”
A new approach to the analytical and numerical form-finding of tensegrity structures (2013, methodology): “We confirm all our results with the analytical self-stress conditions recently derived by Zhang et al. (2012) for truncated icosahedral tensegrities, as follows:”