Dr Bernardino D'Amico B.D'Amico@napier.ac.uk
Associate Professor
This thesis aims to provide a set of tools for analysis and design of free-form timber grid-shells. It provides a brief introduction on the relationship between shape and structural behaviour of grid-shells, followed by an introduction to actively-bent structural systems. The design issues are then individuated and three main themes are defined, namely: Form-finding, Structural Analysis and Optimisation. The development and use of a numerical framework, based on a six Degree-of-Freedom (DoF) co-rotational beam-element in conjunction with the Dynamic Relaxation method, has formed the basis, on which a unified procedure for the Form-finding and Structural Analysis tasks are denied.
A two-step analysis procedure allows seeing a target shape for the grid-shell with the aid of a reference surface, whilst taking into account the effect of internal (bending) reactions on the final geometry. Coupling constraints are numerically simulated by development of a single-node cylindrical joint. An algorithm for grid cutting (mesh manipulation) is described, as well as a modified co-rotational beam-element, based on assumption of ‘equivalent’ bending stiffness. The modified formulation allows taking into account the change in stiffness of the double-layer members, when passing from the Form-finding to the analysis of the structure under working loads, by simply seeing a dimensionless parameter. A numerical framework for optimisation of the members’ cross-section is then introduced.
The optimisation problem is decomposed in two main sub-problems, to be separately solved by iterative techniques: the seeking of an ‘allowable’ thickness, for the laths under bending action, is pursued with a procedure based on Newton-Raphson method, whilst: a local-search approach is used to find (for a given load configuration) the optimal variation in thickness of the composite cross-section.
The proposed methods are validated by several numerical and full-size experimental test, as well as comparison with the corresponding analytical solution, where available.
D'Amico, B. Timber Grid-shell Structures: form-finding, analysis and optimisation. (Thesis). Edinburgh Napier University. http://researchrepository.napier.ac.uk/id/eprint/9833
Thesis Type | Thesis |
---|---|
Deposit Date | Apr 12, 2016 |
Peer Reviewed | Not Peer Reviewed |
Keywords | Timber grid shells; free-form; structural behaviour; structural analysis; form-finding; optimisation; |
Public URL | http://researchrepository.napier.ac.uk/id/eprint/9833 |
Contract Date | Apr 12, 2016 |
Award Date | 2015-10 |
D'Amico_40096810_PhD_Thesis.pdf
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A finite-difference formulation of elastic rod for the design of actively bent structures
(2016)
Journal Article
Timber gridshells: Numerical simulation, design and construction of a full scale structure
(2015)
Journal Article
Form finding and structural analysis of actively bent timber grid shells
(2014)
Journal Article
A form finding method for post formed timber grid shell structures.
(2014)
Presentation / Conference Contribution
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