Algebraic tensegrity form-finding Academic Article uri icon

abstract

  • This paper concerns the form-finding problem for general and symmetric tensegrity structures with shape constraints. A number of different geometries are treated and several fundamental properties of tensegrity structures are identified that simplify the form-finding problem. The concept of a tensegrity invariance (similarity) transformation is defined and it is shown that tensegrity equilibrium is preserved under affine node position transformations. This result provides the basis for a new tensegrity form-finding tool. The generality of the problem formulation makes it suitable for the automated generation of the equations and their derivatives. State-of-the-art numerical algorithms are applied to solve several example problems. Examples are given for tensegrity plates, shell-class symmetric tensegrity structures and structures generated by applying similarity transformation. 2005 Elsevier Ltd. All rights reserved.

published proceedings

  • International Journal of Solids and Structures

altmetric score

  • 3

author list (cited authors)

  • Masic, M., Skelton, R. E., & Gill, P. E.

citation count

  • 117

complete list of authors

  • Masic, Milenko||Skelton, Robert E||Gill, Philip E

publication date

  • August 2005