Study About Buckling Phenomenon in Perforated Thin Steel Plates Employing Computational Modeling and Constructal Design Method

Abstract

Perforated steel thin plates are commonly used in structural engineering. Due to their geometric characteristics, these panels can suffer the undesired buckling phenomenon. In this context, the present work associates the computational modeling and the constructal design method to evaluate the influence of the geometric configuration in the plate buckling behavior, using the exhaustive search method to determine which geometries conduct to superior mechanical behavior. To do so, numerical models are employed to solve elastic and elasto-plastic buckling of plates having a centered perforation. Different hole types (longitudinal oblong, transversal oblong, elliptical, rectangular, diamond, longitudinal hexagonal, or transversal hexagonal) with different shapes (variation of characteristics dimensions of each hole type) are analyzed. Limit curves to avoid buckling were obtained, as well as the definition of the geometries that can improve up to 107% the plate performance.

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.…”

Geometric Evaluation of Stiffened Steel Plates Subjected to Transverse Loading for Naval and Offshore Applications

“…To ensure that the computational model is according to the reality that it is meant to simulate, it is possible to validate or verify it. The validation procedure was based on a comparison between the results obtained by the numerical model and laboratory experiments [7,10]. The verification procedure consisted of confronting the generated numerical results with the numerical results obtained by other authors and/or with values of analytical resolutions [11].…”

“…In the geometrical evaluation of a given physical system, it is necessary and sufficient to define at least one objective (a performance parameter to be improved), the degrees of freedom (variables), and the geometrical restrictions (fixed parameters). The degrees of freedom are free to vary, but it should respect the imposed constraints [10].…”

Survey on Experimental and Numerical Approaches to Model Underwater Explosions

“…In addition, the diverse existent hull architecture requires the designer not only to master different materials, but also to understand the response of the vessel itself as a composition of the several interlinked structural elements built with those materials, such as panels, stiffeners, and girders. The way in which these structures are realized and arranged ultimately determines the resistance of the ship and define if reinforcements like stiffeners and girders apply, and what is the optimal geometry for plate cutouts (e.g., for hatches) to avoid undesired elastoplastic deformations to buckling [7][8][9].…”