Topology optimization of nonlinear single-layer domes by an improved electro-search algorithm and its performance analys
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RESEARCH PAPER
Topology optimization of nonlinear single-layer domes by an improved electro-search algorithm and its performance analysis using statistical tests Amin Bigham 1 & Saeed Gholizadeh 1 Received: 29 July 2019 / Revised: 4 March 2020 / Accepted: 12 March 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract In this paper, an improved electro-search algorithm is proposed to solve topology optimization problem of nonlinear single-layer domes. The electro-search algorithm is one of the newly developed metaheuristics inspirited by the movement of electrons around the nucleus of atoms in a molecule. This algorithm exhibits a good performance in solving optimization problems of benchmark functions. However, this algorithm cannot present appropriate performance in tackling discrete structural optimization problems. In the proposed improved algorithm, to reduce the probability of getting stuck in local minima, one electron is assigned to each nucleus and a new equation is defined to determine its orbital’s radius. Moreover, a new scheme is developed to update the position of nuclei in design space. In addition, in order to increase the convergence speed, a memory containing some historically best solutions is added to the algorithm. Parametric and nonparametric statistical tests are applied to analyze the performance of the algorithms. The numerical results are presented in two parts including size optimization of benchmark steel structures and topology optimization problems of single-layer domes. The results demonstrate that the proposed improved algorithm is superior over other well-known metaheuristic algorithms in terms of optimum solution, convergence rate, and overall performance. Keywords Topology optimization . Metaheuristic . Lattice dome . Geometrical nonlinearity . Electro-search algorithm . Statistical test
1 Introduction Latticed domes are one of the best choices to cover large spans without intermediate columns (Makowski 1984), and the most well-known forms of these structures are lamella, network, and geodesic domes (Çarbaş and Saka 2012). The optimization of these structures will provide efficient structural systems. In comparison with the pure sizing and layout optimization, the topology optimization is the most effective technique to design optimal structural systems; however, its computational effort is massive due to involving design variables with different natures (Degertekin et al. 2018; Gholizadeh and Ebadijalal 2018; Gholizadeh and Poorhoseini 2016; Kociecki and Adeli 2014; Stromberg et al. 2012). The parameters Responsible editor: Raphael Haftka * Saeed Gholizadeh [email protected] 1
Department of Civil Engineering, Urmia University, Urmia, Iran
defining the geometry of latticed domes, including height of crown and the total number of rings, in addition to the crosssectional areas of elements are taken into account as the design variables of the topology optimization process of latticed domes. The present study focuses on the single-layer lattice domes in
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