Optimisation of cross-section of actively bent grid shells with strength and geometric compatibility constraints

B. D'Amico, A. Kermani, H. Zhang, P. Shepherd, C. J. K. Williams

Research output: Contribution to journalArticle

12 Citations (Scopus)


The use of bending as self-forming process allows the realization of shape-resistant systems, such as grid shell structures. Here, a numerical method for optimisation of the cross-section of actively bent structures is introduced. For a given load distribution, the optimisation objective consists of normalizing the bending stresses to a given value on the entire structure. In addition, strength and geometric compatibility constraints are taken into account. The method is demonstrated by numerical examples. Further, in order to handle the large displacements involved, a co-rotational Finite Element formulation is adopted and modified to take into account the changes in stiffness that occur in the forming process of active bending systems. The modified co-rotational formulation is solved for static equilibrium using a Dynamic Relaxation scheme, and is tested against the analytical solutions of some preliminary test cases, as well as experimental results, and shown to be accurate.
Original languageEnglish
Pages (from-to)163-176
Number of pages14
JournalComputers and Structures
Early online date21 Apr 2015
Publication statusPublished - 1 Jul 2015



  • Active Bending
  • Grid Shell
  • Structural Optimisation
  • Co-rotational Formulation
  • Dynamic Relaxation
  • Timber Structures

Cite this