doi:

DOI: 10.3724/SP.J.1249.2012.03211

Journal of Shenzhen University Science and Engineering (深圳大学学报理工版) 2012/29:3 PP.211-216

Geometry-oriented form-finding method for tensegrity


Abstract:
A new form-finding method for computing the given nodal coordinates tensegrity was proposed. The equilibrium equation was formulated in two different ways. Based on the orthogonal vectors that were generated by the singular value decomposition of equilibrium matrix and eigenvalue decomposition of force density matrix, the self stress modes and nodal coordinates were obtained, respectively. The given nodal coordinates were introduced as constraint conditions. Self stress modes and nodal coordinates were calculated iteratively until the results converge, and the corresponding procedure was established. The topology and a set of nodal coordinates were specified in this method. The proposed approach can be applied to the form-finding of tensegrity with required shape, and the form-finding of novel nonregular tensegrity system.

Key words:structural engineering,tensegrity,form-finding method,nodal coordinates,equilibrium matrix,force density matrix

ReleaseDate:2014-07-21 16:18:06

Funds:National Natural Science Foundation of China(51008065); Natural Science Foundation of Jiangsu Province(BK2010428)



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