Topology optimization of double- and triple-layer grids using a hybrid methodology

Dehghani, Milad; Mashayekhi, Mostafa; Salajegheh, E.

doi:10.1080/0305215x.2015.1105968

Cited by 10 publications

(4 citation statements)

References 31 publications

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“…For example, an equality constraint ℎ 0 can be replaced by two inequality constraints ℎ 0 and ℎ 0 [22]. In addition, constraints could be combined into the objective function as penalty functions to convert the constrained objective function to an unconstrained one [59]. The range of design variables is called search space or design space, which could be further divided into feasible domain and infeasible domain.…”

Section: Formulation Of Optimization Problemsmentioning

confidence: 99%

Structural Optimization in Civil Engineering: A Literature Review

Mei

Wang

2021

Buildings

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Since tremendous resources are consumed in the architecture, engineering, and construction (AEC) industry, the sustainability and efficiency in this field have received increasing concern in the past few decades. With the advent and development of computational tools and information technologies, structural optimization based on mathematical computation has become one of the most commonly used methods for the sustainable and efficient design in the field of civil engineering. However, despite the wide attention of researchers, there has not been a critical review of the recent research progresses on structural optimization yet. Therefore, the main objective of this paper is to comprehensively review the previous research on structural optimization, provide a thorough analysis on the optimization objectives and their temporal and spatial trends, optimization process, and summarize the current research limitations and recommendations of future work. The paper first introduces the significance of sustainability and efficiency in the AEC industry as well as the background of this review work. Then, relevant articles are retrieved and selected, followed by a statistical analysis of the selected articles. Thereafter, the selected articles are analyzed regarding the optimization objectives and their temporal and spatial trends. The four major steps in the structural optimization process, including structural analysis and modelling, formulation of optimization problems, optimization techniques, and computational tools and design platforms, are also reviewed and discussed in detail based on the collected articles. Finally, research gaps of the current works and potential directions of future works are proposed. This paper critically reviews the achievements and limitations of the current research on structural optimization, which provide guidelines for future research on structural optimization in the field of civil engineering.

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Section: Formulation Of Optimization Problemsmentioning

confidence: 99%

Structural Optimization in Civil Engineering: A Literature Review

Mei

Wang

2021

Buildings

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“…Based on the consideration of the "optimal form" [11,12] of the cable-membrane structure and the finite element analysis of the cable-membrane structure, a model for the cablemembrane structure shape optimization is established. In the optimization model, there is a need to establish the objective function according to the optimization objective, to analyze the characteristics of the structure and to…”

Section: Optimization Model Of Cable-membrane Structurementioning

confidence: 99%

Study on Form-Finding of Cable-Membrane Structures Based on Particle Swarm Optimization Algorithm

Sun

Zhu

Liang

et al. 2020

Mathematical Problems in Engineering

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Form-finding is one of the key steps in the whole design process of cable-membrane structures. Traditional form-finding methods are usually complicated and have poor accuracy or stability. Thus, form-finding of cable-membrane structures based on particle swarm optimization (PSO) algorithm is proposed. The shape and loading characteristics of cable-membrane structures are optimized. The optimization objective is to minimize the maximum support reaction, and the initial prestress on the membrane surface is taken as the optimization variable. The main constraints are material strength limitation, structural stress, and displacement of the cable and membrane. A program is given based on the proposed PSO, and the optimization model and calculation process are implemented based on MATLAB and ANSYS platforms. Form-finding of three typical cable-membrane structures including rotating catenary surface, saddle surface, and rhombic hyperboloid is carried out. The results compare well with those from the force density method. The initial prestresses of the three membrane structures are obtained while the form-finding result is optimal, respectively. The proposed PSO shows a more accurate method in form-finding of cable-membrane structures in a simpler way.

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“…Compared to sizing and shape optimizations, topology optimization offers greater flexibility and empowers the designer to create innovative and highly efficient conceptual designs for structures [10]. Nowadays, numerous hybridized meta-heuristic topology optimization techniques have been developed in recent years, particularly for optimizing the topology of large-scale skeletal structures with discrete cross-sectional areas [11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

An Enhanced Simulated Annealing Algorithm for Topology Optimization of Double-Layer Grid Structures

Mashayekhi,

Ghasemi

2023

Preprint

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Stochastic optimization methods have been extensively studied for structural optimization in recent decades. In this study, a novel algorithm named the CA-SA method, is proposed for topology optimization of double-layer grid structures. The CA-SA method is a hybridized algorithm combining the Simulated Annealing (SA) algorithm and the Cellular Automata (CA) method. In the CA-SA method, during the initial iterations of the SA algorithm, some of the preliminary designs obtained by SA are placed in the cells of the CA. In each successive iteration, a cell is randomly chosen from the CA. then, the "local leader" (LL) is determined by selecting the best design from the chosen cell and its neighboring ones. This LL then serves as the leader for modifying the SA algorithm. To evaluate the performance of the proposed CA-SA algorithm, two square-on-square double-layer grid structures are considered, with discrete cross-sectional areas. These numerical examples demonstrate the superiority of the CA-SA method over SA, and other meta-heuristic algorithms reported in the literature in the topology optimization of large-scale skeletal structures.

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Topology optimization of double- and triple-layer grids using a hybrid methodology

Cited by 10 publications

References 31 publications

Structural Optimization in Civil Engineering: A Literature Review

Structural Optimization in Civil Engineering: A Literature Review

Study on Form-Finding of Cable-Membrane Structures Based on Particle Swarm Optimization Algorithm

An Enhanced Simulated Annealing Algorithm for Topology Optimization of Double-Layer Grid Structures

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