Minimum weight design of sinusoidal corrugated web beam using differential evolution algorithm

Shon, Sudeok; Yoo, Mina; Kang, Jian; Lee, Seungjae

doi:10.1007/s13296-015-3016-2

Cited by 7 publications

(6 citation statements)

References 22 publications

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“…However, corrugation webs have to secure stability against local buckling occurring in one corrugation, global buckling occurring in several corrugations, or interactive buckling, and EN 1993-1-5 Annex D specifies the idealized critical shear stress as shown in (4a) and (4b). Pasternak and Hannebauer [1] claimed that sinusoidal corrugation resulted in better than trapezoidal corrugation owing to its smoother shape and introduced theoretical equations based on global buckling experiments as shown in (5) [21]. [2] or DASt-R015 [4].…”

Section: Shape and Shearmentioning

confidence: 99%

“…However, the depth of corrugation wave was restricted to between 2 and 4.6 times the thickness of corrugation web as a boundary condition, and this restriction considered general conditions for the production of hot-rolled WCW H-shaped web. When corrugation web strip is fabricated by welding onto flange, the range of the restriction on the cross section is different in reality [21]. Additionally, the resistance capacity of thin corrugated web against shear buckling becomes the design main factor, and the research on the optimum structural design in consideration of this factor and the search techniques is still insufficient.…”

Section: Introductionmentioning

confidence: 99%

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Minimum Weight Design of Sinusoidal Corrugated Web Beam Using Real‐Coded Genetic Algorithms

Shon

Jin

Lee

2017

Mathematical Problems in Engineering

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Fundamental advantage of using corrugated web girder rather than plate girder reinforced with stiffeners is securing stability against shear buckling of web and unnecessary stiffeners despite the thinner web. Nonetheless, because shear buckling behavior of corrugated web is very complex, the design mechanism for beams and local, global, and interactive buckling problems should be considered in designing of its structural optimization for better economics and reasonableness. Therefore, this paper proposes a mathematical model for minimum weight design of sinusoidal web girder for securing better stability with smooth corrugation and aims at developing its optimum design program. The constraints for the optimum design were composed on the basis of the standards of EN 1993-1-5, DASt-R015, and DIN 18800, and the optimum program was coded in accordance with the standards based on Real-Coded Genetic Algorithms. The genetic operators for the developed program resulted in a stable solution with crossover probability between 12.5 and 50%, and the perturbation vector for outbreeding could obtain the best result with the model being applied of feasible design variable space of 20–30%. Additionally, the increase of yield strength resulted in decreased value of the objective function, and it was found through the change of the value of the constraint function that the thickness of web was an important factor in the optimum structural design.

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Section: Shape and Shearmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Minimum Weight Design of Sinusoidal Corrugated Web Beam Using Real‐Coded Genetic Algorithms

Shon

Jin

Lee

2017

Mathematical Problems in Engineering

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“…With an emphasis on the corrugated web I-girder, Sokołowski and Kami ński [34] introduced a framework for the topological optimization of corroding structures, based on a reliability-based design. By concentrating on the optimal weight design and parameter effects, Shon et al [35] developed an optimization algorithm for sinusoidal-web steel beams. Shon et al [36] investigated the optimal design of corrugated web steel beams, aiming to increase their strength and adaptability to a variety of structures.…”

Section: Introductionmentioning

confidence: 99%

Innovative Design Techniques for Sinusoidal-Web Beams: A Reliability-Based Optimization Approach

Cserpes,

Habashneh,

Szép

et al. 2024

Buildings

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Existing studies often rely on deterministic numerical analyses for structural models. However, test results consistently highlight uncertainties, particularly in variables such as magnitude of the applied load, geometrical dimensions, material randomness, and limited experiential data. As a response, researchers have increasingly turned their attention to probabilistic design models, recognizing their crucial role in accurately predicting structural performance. This study aims to integrate reliability-based analysis into the numerical modeling of sinusoidal-web steel beams. Two sinusoidal-web beams are considered. The web and the flange thicknesses, in addition to the magnitude of the applied load, are treated as random variables with mean values and standard deviations. Notably, the study demonstrates the efficiency of the reliability index as a governing limit in the analysis process. A detailed comparison between deterministic and probabilistic designs of sinusoidal-web beams is conducted, focusing on the impact of introducing the nature of randomness. Therefore, this study’s results deepen our understanding of how uncertainties significantly influence deformations and stresses.

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“…Reliability-based computations of structural elements with a corrugated web are also available [ 36 , 37 ] and even a weight optimization could be found [ 38 ], but RBDO has not yet been proposed for such structures; this is especially true when corrosion is the leading random effect. Consequently, there is a need to develop recommendations that properly address the reliability issues of such girders, which is also the reason for their choice as an example for the proposed framework.…”

Section: Introductionmentioning

confidence: 99%

Stochastic Reliability-Based Design Optimization Framework for the Steel Plate Girder with Corrugated Web Subjected to Corrosion

Sokołowski

Kamiński

2022

Materials

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This paper proposes the framework for reliability-based design optimization (RBDO) of structural elements with an example based on the corrugated web I-girder. It tackles the problem of topological optimization of corroding structures with uncertainties. Engineering restrictions follow a concept of the limit states (LS) and extend it for stability and eigenfrequency assessment. The reliability constraints include all the LS; they are computed according to first- and second-order reliability methods. The RBDO example minimizes the bridge girder cross-section while satisfying the structural reliability level for the ultimate and the serviceability limit states, stability, and eigenfrequency. It takes into consideration two uncorrelated random effects, i.e., manufacturing imperfection and corrosion. They are both Gaussian; the first of them is applied at assembly time, while the second is applied according to the time series. The example confronts three independent FEM models with an increasing level of detailing, and compares RBDO results for three concurrent probabilistic methods, i.e., the iterative stochastic perturbation technique (ISPT), the semi-analytical method, and the Monte Carlo simulation. This study proves that the RBDO analysis is feasible even for computationally demanding structures, can support automation of structural design, and that the level of detailing in the FEM models influences its results. Finally, it exemplifies that reliability restrictions for LS are much more rigorous than for their deterministic counterparts, and that the fastest ISPT method is sufficiently accurate for probabilistic calculations in this RBDO.

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Minimum weight design of sinusoidal corrugated web beam using differential evolution algorithm

Cited by 7 publications

References 22 publications

Minimum Weight Design of Sinusoidal Corrugated Web Beam Using Real‐Coded Genetic Algorithms

Minimum Weight Design of Sinusoidal Corrugated Web Beam Using Real‐Coded Genetic Algorithms

Innovative Design Techniques for Sinusoidal-Web Beams: A Reliability-Based Optimization Approach

Stochastic Reliability-Based Design Optimization Framework for the Steel Plate Girder with Corrugated Web Subjected to Corrosion

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