Algebraic tensegrity form-finding

By Milenko Masic, Robert E. Skelton, Philip E. Gill. 2005

168 citations recorded by the source corpus.

Subfields: Architecture, Civil and Structural Engineering, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/73bcc81caae9362654c910a4bdbbad2fd62947df

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Citations in the corpus

Zero stiffness tensegrity structures (2007, background): “Under an affine transformation of the nodal coordinates p this condition still holds (Connelly and Whiteley, 1996; Masic et al., 2005), and hence the new geometry is also in equilibrium for the same set of tension coefficients.”
Advanced form-finding for cable-strut structures (2010, methodology): “…is a free body in the space, the force density vector q does not change under affine transformation (Tarnai, 1989; Connelly and Whiteley, 1996; Masic et al., 2005) which transforms pi to pi as follows: pi ¼ piTþ t ð38Þ where T ð2 R3 3Þ and t ð2 R3Þ represent affine transformation which is a…”
A new approach to the analytical and numerical form-finding of tensegrity structures (2013, methodology): “Masic et al. (2005) proposed an algebraic method, based on invariant tensegrity transformations, to solve the form-finding problem.”
Optimization of tensegrity structures (2006, methodology): “By inspecting the stiffness matrix of prestressed structures given by Masic et al. (2005) and Masic and Skelton (in press), it can be shown that increasing prestress in a structure affects its stiffness.”
Effective insights into the geometric stability of symmetric skeletal structures under symmetric variations (2015, background): “Masic et al. (2005) studied the geometric stability of symmetric tensegrity structures with shape constraints.”
Tensegrity frameworks: Static analysis review. (2008, methodology): “[45]) Static Must be given No No Yes Yes Genetic algorithm (Paul et al.”
Topology design of tensegrity structures via mixed integer programming (2010, methodology): “Particularly, for tensegrity structures with a rotational symmetry property, form-finding methods utilizing such a symmetry property have been proposed [14, 17], and the stability conditions of such tensegrities were also investigated by using the group representation theory [22].”
Form-finding of tensegrity structures with multiple states of self-stress (2011, background): “[18], Zhang and Ohsaki [19] and Estrada et al.”
Topology optimization of tensegrity structures under compliance constraint: a mixed integer linear programming approach (2013, methodology): “Masic et al. (2005) and Sultan et al. (2002) proposed form-finding methods for tensegrity structures with a rotational symmetry property.”
Initial self-stress design of tensegrity grid structures (2010, background): “[7], Zhang and Ohsaki [8] and Estrada et al.”
Advanced form-finding of tensegrity structures (2010, methodology): “It should be noted that since the tensegrity structure without fixed nodes is a free body in the space, the force density vector q does not change under affine transformation [28,29,8] which transforms pi to pi as follows: pi 1⁄4 piTþ t; ð40Þ where Tð2 R(3) (3)Þ and t ð2 R(3)Þ represent affine trans”