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

Research Output

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 modifed 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'.

Type:

Article
Date:

21 April 2015
Publication Status:

Published
Publisher

Elsevier
DOI:

10.1016/j.compstruc.2015.04.006
Cross Ref:

S004579491500125X
ISSN:

0045-7949
Library of Congress:

TA Engineering (General). Civil engineering (General)
Dewey Decimal Classification:

690.1 Structural elements
Funders:

School of Engineering and Built Environment; Centre for Timber Engineering

http://researchrepository.napier.ac.uk/output/170886 D’Amico, B., Kermani, A., Zhang, H., Shepherd, P., & Williams, C. (2015). Optimization of cross-section of actively bent grid shells with strength and geometric compatibility constraints. Computers and Structures, 154, 163-176. https://doi.org/10.1016/j.compstruc.2015.04.006

Citation

D’Amico, B., Kermani, A., Zhang, H., Shepherd, P., & Williams, C. (2015). Optimization of cross-section of actively bent grid shells with strength and geometric compatibility constraints. Computers and Structures, 154, 163-176. https://doi.org/10.1016/j.compstruc.2015.04.006