Generalized Multiple Equilibrium Paths for a Truncated Polyhedral Tensegrity

Abstract

Abstract-Generalized form-finding procedure for a truncated polyhedral tensegrity is presented by using force density method combined with a genetic algorithm. A constrained minimization problem consisting of eigenvalues of the force density matrix and the standard deviation of the force densities of the cables is performed. Multiple force density curves are obtained and compared with those of previous investigations for a truncated icosahedral tensegrity in terms geometry, energy and total length ratio of cableto-strut. Various new shapes of tensegrity are obtained from present analysis by searching feasible self-equilibrium stable configuration of the structure.