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A firefly algorithm based hybrid method for structural topology optimization
Advanced Modeling and Simulation in Engineering Sciences Pub Date : 2020-11-16 , DOI: 10.1186/s40323-020-00183-0
Hailu Shimels Gebremedhen , Dereje Engida Woldemichael , Fakhruldin Mohd Hashim

In this paper, a firefly algorithm based hybrid algorithm through retaining global convergence of firefly algorithm and ability to generate connected topologies of optimality criteria (OC) method is proposed as an alternative method to solve stress-based topology optimization problems. The lower and upper limit of design variables (0 and 1) were used to find initial material distribution to initialize the firefly algorithm based section of the hybrid algorithm. Input parameters, the number of fireflies, and the number of function evaluations were determined before the implementation of the firefly algorithm to solve formulated problems. Since the direct application of the firefly algorithm cannot generate connected topologies, outputs from the firefly algorithm were used as an initial input material distribution for the OC method. The proposed method was validated using two-dimensional benchmark problems and the results were compared with results using the OC method. Weight percentage reduction, maximum stress-induced, optimal material distribution, and compliance were used to compare results. Results from the proposed method showed that the proposed method can generate connected topologies which are free from the interference of end-users, and only depend on boundary conditions or design variables. From the results, the objective function (weight of the design domain) can be further reduced in the range of 5 to 15% compared to the OC method.

中文翻译:

基于萤火虫算法的混合拓扑结构优化方法

本文提出了一种基于萤火虫算法的混合算法,该算法通过保留萤火虫算法的全局收敛性和生成连通性的最优性准则(OC)方法的能力,作为解决基于应力的拓扑优化问题的替代方法。设计变量的上限和下限(0和1)用于查找初始材料分布,以初始化基于混合算法的萤火虫算法部分。在执行萤火虫算法以解决制定的问题之前,先确定输入参数,萤火虫的数量和功能评估的数量。由于萤火虫算法的直接应用无法生成连接的拓扑,因此萤火虫算法的输出被用作OC方法的初始输入材料分布。使用二维基准问题对所提出的方法进行了验证,并将结果与​​使用OC方法的结果进行了比较。重量百分比减少,最大应力诱导,最佳材料分布和顺应性用于比较结果。所提出的方法的结果表明,所提出的方法可以生成连接的拓扑,不受最终用户的干扰,并且仅取决于边界条件或设计变量。根据结果​​,与OC方法相比,目标函数(设计域的权重)可以进一步降低5%至15%。和合规性用于比较结果。所提出的方法的结果表明,所提出的方法可以生成连接的拓扑,不受最终用户的干扰,并且仅取决于边界条件或设计变量。根据结果​​,与OC方法相比,目标函数(设计域的权重)可以进一步降低5%至15%。和合规性用于比较结果。所提出的方法的结果表明,所提出的方法可以生成连接的拓扑,不受最终用户的干扰,并且仅取决于边界条件或设计变量。根据结果​​,与OC方法相比,目标函数(设计域的权重)可以进一步降低5%至15%。
更新日期:2020-11-17
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