Analysis of Plane-Stress Systems via Total Potential Optimization Method Considering Nonlinear Behavior

Toklu, Yusuf Cengiz; Kayabekir, Ayli̇n Ece; Bekdaş, Gebrai̇l; Niğdeli, Sinan Melih; Yücel, Melda

doi:10.1061/(asce)st.1943-541x.0002808

Cited by 16 publications

(8 citation statements)

References 16 publications

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“…Until now, TPO/MA was applied to truss systems [5][6][7][8], tensegrity structures [9], cable structures [10,11], and plane stress problems [12,13] for a wide range of examples. By including plane-strain problems in the application record, it is shown in this paper that the application area of this technique is not limited to previous ones.…”

Section: Discussionmentioning

confidence: 99%

“…In Equations ( 10)- (13), the constants C 1 , C 2 , C 3 , and C 4 are formulated according to matrix calculations of Equation (9).…”

Section: The Total Potential Energy Of Plane Stress Membersmentioning

confidence: 99%

“…This approach is followed by further applications, with metaheuristic algorithms and hybrid ones, on planar or space trusses [6][7][8], tensegrity structures [9], and cable systems [10,11]. Latest applications concern plane stress problems, with well-known linear constitutive equations [12], or with hypothetical linear constitutive equations [13]. TPO/MA has advantages on special and nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

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Total Potential Optimization Using Metaheuristic Algorithms for Solving Nonlinear Plane Strain Systems

et al. 2021

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Total Potential Optimization using Metaheuristic Algorithms (TPO/MA) is an alternative tool for the analysis of structures. It is shown that this emerging method is advantageous in solving nonlinear problems like trusses, tensegrity structures, cable networks, and plane stress systems. In the present study, TPO/MA, which does not need any specific implementation for nonlinearity, is demonstrated to be successfully applied to the analysis of plane strain structures. A numerical investigation is performed using nine different metaheuristic algorithms and an adaptive harmony search in linear analysis of a structural mechanics problem having 8 free nodes defined as design variables in the minimization problem of total potential energy. For nonlinear stress-strain relation cases, two structural mechanics problems, one being a thick-walled pipe and the other being a cantilever retaining wall, are analyzed by employing adaptive harmony search, which was found to be the best one in linear analyses. The nonlinear stress-strain relations considered in these analyses are hypothetical ones due to the lack of any such relationship in the literature. The results have shown that TPO/MA can solve nonlinear plane strain problems that can be encountered as engineering problems in structural mechanics.

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Section: Discussionmentioning

confidence: 99%

“…In Equations ( 10)- (13), the constants C 1 , C 2 , C 3 , and C 4 are formulated according to matrix calculations of Equation (9).…”

Section: The Total Potential Energy Of Plane Stress Membersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Total Potential Optimization Using Metaheuristic Algorithms for Solving Nonlinear Plane Strain Systems

et al. 2021

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“…Also, the use of metaheuristic algorithms for an optimum design of various structural elements made of steel and reinforced concrete is gradually gaining momentum. Examples include: optimum design of the reinforced concrete footing dimensions [20], optimum design of reinforced concrete continuous beams and reinforced concrete multi-storey multi-span frame structures [21,22], optimization of reinforced concrete biaxially loaded columns [23], optimum weight design of steel space frames with semi-rigid connections and steel frame [24][25], optimum design of steel plate girders [26], and the analysis of steel truss structures [27] and plane-stress members [28,29]. Wood is one of the oldest building materials used by humans.…”

Section: Introductionmentioning

confidence: 99%

Optimum design of timber structures under fire using metaheuristic algorithm

2022

JCE

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One of the major tasks of structural engineers is to reduce the building cost. Thus, an effective optimization of structural elements is gaining in importance every day. The teaching-learning-based optimization (TLBO), which is one of metaheuristic algorithms, for an optimum design and analysis of timber structures under fire in accordance with EN 1995 1-2 (Eurocode 5: Design of Timber structures - Part 1- 2 General structural fire design), is proposed in this study. The objective function in this algorithm is the building cost of timber structures under fire, considering premature collapse of the structure and limitation of fire spread. A structure made of wood is investigated under different times of fire exposure in order to determine the cross-section and wood type of structural elements. In conclusion, the cross section and strength of structural elements made of wood can be effectively and rapidly optimized with TLBO according to EN 1995 1-2.

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“…Ulusoy et al (2020) used the FPA to actively control multistory structures considering soil-structure interaction. Toklu et al (2020) employed FPA to the structural analysis of plates for plane-stress conditions with nonlinear stress-strain equations.…”

Section: Introductionmentioning

confidence: 99%

Optimum design of 3D reinforced concrete building frames with the flower pollination algorithm

Mergos

2021

Journal of Building Engineering

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Analysis of Plane-Stress Systems via Total Potential Optimization Method Considering Nonlinear Behavior

Cited by 16 publications

References 16 publications

Total Potential Optimization Using Metaheuristic Algorithms for Solving Nonlinear Plane Strain Systems

Total Potential Optimization Using Metaheuristic Algorithms for Solving Nonlinear Plane Strain Systems

Optimum design of timber structures under fire using metaheuristic algorithm

Optimum design of 3D reinforced concrete building frames with the flower pollination algorithm

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