Computational modeling and Constructal Design method applied to the geometric optimization of stiffened steel plates subjected to uniform transverse load
Marcelo Langhinrichs Cunha1, Grégori da Silva Troina1, Elizaldo Domingues dos Santos1, Luiz Alberto Oliveira Rocha2, Liércio André Isoldi*,1
1 Federal University of Rio Grande - FURG, Rio Grande, RS, Brazil
2University of Vale do Rio dos Sinos - UNISINOS, São Leopoldo, RS, Brazil
Finite element method
The present paper shows a geometric evaluation of stiffened plates subjected to a uniformly distributed transverse loading. For that, it was proposed a set of different geometric configurations through the Constructal Design method, which were numerically simulated. Then, by means of the Exhaustive Search technique, a geometric optimization was performed aiming to minimize the central deflection of the plate. A non-stiffened plate measuring 2.00 m x 1.00 m x 0.02 m was used as reference, then a constant volume ratio ϕ, equals to 0.5, was taken from the reference plate and transformed into longitudinal and transverse stiffeners. The geometric parameters considered as degrees of freedom were: the number of longitudinal (Nls) and transverse (Nts) stiffeners and hs/ts, which is defined by the ratio between the stiffener’s height and thickness. In order to elaborate the computational model, it is used ANSYS Mechanical APDL®, a software based on the Finite Element Method (FEM). From the results, it was possible to determine a power function for each combination of Nls and Nts that accurately described the relation between the central deflection and hs/ts. Furthermore, it was noticed a substantial influence of the geometric parameters under analyses regarding the studied structural element’s mechanical behavior. Even though the volume was kept constant, the optimized geometry has shown a result 9110 % better compared to the one shown by the reference plate.
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