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

11 Citations (Scopus)

Abstract

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.
LanguageEnglish
Pages163-176
Number of pages14
JournalComputers and Structures
Volume154
Early online date21 Apr 2015
DOIs
StatusPublished - Jun 2015

Fingerprint

Compatibility
Shell
Cross section
Grid
Optimization
Relaxation Scheme
Numerical methods
Preliminary Test
Large Displacements
Shell Structure
Load Distribution
Formulation
Stiffness
Analytical Solution
Numerical Methods
Entire
Finite Element
Numerical Examples
Experimental Results

Keywords

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

Cite this

Optimisation of cross-section of actively bent grid shells with strength and geometric compatibility constraints. / D'Amico, B.; Kermani, A.; Zhang, H.; Shepherd, P.; Williams, C. J. K.

In: Computers and Structures, Vol. 154, 06.2015, p. 163-176.

Research output: Contribution to journalArticle

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