Verification of a genetic algorithm for the optimization of stiffened plates through the constructal design method

Constructal design associated with genetic algorithm to minimize the maximum deflection of thin stiffened steel plates

“…More details about the verification of the GA implementation adopted in the present work can be found in the study of Cunha et al 54 …”

“…To theoretically prove the CD applicability for structural engineering problems, analogies among heat transfer, fluid mechanics, and mechanics of materials were presented in the studies of Bejan and Lorente, 24 Bejan et al, 25 Lorente et al, 26 and Isoldi et al 27 Other approaches that can be considered as related with problems concerned with mechanics of materials are the ones dedicated to the application of CD for optimization of iron and steel manufacturing process. [28][29][30][31] In addition, one can find studies employing CD exclusively to structural engineering problems for the geometric evaluation of perforated steel plates subjected to buckling [32][33][34][35][36][37][38] ; stiffened steel plates subjected to buckling 14,39 ; stiffened steel plates subjected to bending [40][41][42][43]54 ; and aircraft structures. 44,45 Therefore, the present study, by employing an approach that associates the CD method and GA, with the aid of FEM, seeks to find the optimized geometrical configuration that conducts the superior mechanical behavior of simply supported stiffened plates under transverse distributed loading, having the minimization of its maximum out-of-plane displacement as objective function.…”

“…To theoretically prove the CD applicability for structural engineering problems, analogies among heat transfer, fluid mechanics, and mechanics of materials were presented in the studies of Bejan and Lorente, 24 Bejan et al, 25 Lorente et al, 26 and Isoldi et al 27 Other approaches that can be considered as related with problems concerned with mechanics of materials are the ones dedicated to the application of CD for optimization of iron and steel manufacturing process 28‐31 . In addition, one can find studies employing CD exclusively to structural engineering problems for the geometric evaluation of perforated steel plates subjected to buckling 32‐38 ; stiffened steel plates subjected to buckling 14 39 ; stiffened steel plates subjected to bending 40‐43 54 ; and aircraft structures 44,45 …”

Parametric investigation of vibration of stiffened structural steel plates using finite element analysis and grey relational analysis

“…Through the application of computational modelling along with constructal design it is possible to make recommendations about the suitable geometry to be used for plates (2018). Different techniques have been employed to optimise the plate stiffener assembly (Cunha et al, 2019;Kalassy & Marcelin, 1997;Putra et al, 2019;Mizusawa et al, 1979;Li et al, 2013). Cunha et al (2019) performed an investigation of a Genetic Algorithm (GA) based mathematical optimization of stiffener-plates assembly exposed to transverse loads.…”

“…Different techniques have been employed to optimise the plate stiffener assembly (Cunha et al, 2019;Kalassy & Marcelin, 1997;Putra et al, 2019;Mizusawa et al, 1979;Li et al, 2013). Cunha et al (2019) performed an investigation of a Genetic Algorithm (GA) based mathematical optimization of stiffener-plates assembly exposed to transverse loads. The constructal design technique was utilized to characterize the search space, pointing to limit the deflection of the assembly, while keeping the aggregate material volume steady.…”