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Optimization 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.

Authors

A. Kermani

P. Shepherd

C.J.K. Williams



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 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'.

Journal Article Type Article
Acceptance Date Apr 6, 2015
Online Publication Date Apr 21, 2015
Publication Date Jul 1, 2015
Deposit Date Mar 13, 2015
Publicly Available Date Apr 22, 2016
Journal Computers and Structures
Print ISSN 0045-7949
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 154
Pages 163-176
DOI https://doi.org/10.1016/j.compstruc.2015.04.006
Keywords Active Bending; Grid Shell; Structural Optimisation; Co-rotational Formulation; Dynamic Relaxation; Timber Structures;
Public URL http://researchrepository.napier.ac.uk/id/eprint/7674
Publisher URL http://dx.doi.org/10.1016/j.compstruc.2015.04.006
Contract Date Mar 13, 2015

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