Computational Modeling and Constructal Design Method Applied to the Geometric Evaluation of Stiffened Thin Steel Plates Considering Symmetry Boundary Condition

Reliability‐based design optimization of a car body using dimension‐ reduced Chebyshev polynomial

“…Step 5: Iteration converge If the error of best fitness is less than 0.01 for five generations (|𝐹𝑖𝑡 𝑎 − 𝐹𝑖𝑡 𝑎−1 | < 0.01), skip to step (10).…”

“…Cho, Koo, and Jung 8 put forward a car body lightweight design method based on material selection and size optimization. Amaral et al 9,10 proposed a new design method for plates optimization considering symmetry boundary conditions. Gomes 11 investigated the optimum design of a quarter car passive suspension system using a particle swarm optimization algorithm to minimize the applied loads and vibrations.…”

Computational Modeling and Constructal Design Theory Applied to the Geometric Optimization of Thin Steel Plates with Stiffeners Subjected to Uniform Transverse Load

“…Nowadays, there are few publications on this topic, but it is possible to cite Bejan and Lorente [33], Bejan et al [54], Lorente et al [55], and Isoldi et al [56] where, by means of analogies among heat transfer, fluid mechanics, and mechanics of materials, it was conceptually proven that the CDM is also applicable in structural engineering problems. There are also works dedicated to investigating the influence of geometric configurations of plates submitted to elastic or elasto-plastic buckling: Isoldi et al [57], Rocha et al [58], Helbig et al [59], Lorenzini et al [60], Helbig et al [61], Helbig et al [62], Da Silva et al [63], and Lima et al [64,65]; while in Cunha et al [66], De Queiroz et al [13], Amaral et al [67], and Pinto et al [68] the influence of geometry of stiffened plates was analyzed when submitted to bending. Finally, Mardanpour et al [69] and Izadpanahi et al [70] applied the CDM in a study about aircraft structures.…”

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

“…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 …”