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A modified differential evolution algorithm for tensegrity structures

机译：张力结构的改进差分进化算法

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In this paper, a novel modified differential evolution (mDE) algorithm for advanced form-finding of tensegrity structures is proposed to define an appropriate candidate for strut members. The form-finding process only requires topology and member type of a tensegrity based on the force density method. The proposed algorithm improved from original differential evolution (DE) is performed to reduce significant computational cost. In the mDE, scale factor F and crossover rate c are adjusted as well as the mutation and selection phases of the original DE are also replaced by the best individual-based mutation and elitist selection techniques. The objective function of the product of alpha and beta related to eigenvalues and force densities is minimized. Since force density values are considered as continuous design variables, optimal solutions obtained by mDE are more accurate than those solved from discrete design variables of GA. Several benchmark numerical examples of two- and three-dimensional tensegrity structures are investigated to verify the effectiveness and robustness of the proposed algorithm by comparing obtained results with those of other methods in the literature. (C) 2016 Elsevier Ltd. All rights reserved.
机译：在本文中，提出了一种新颖的改进的微分进化算法（mDE），用于对张紧结构进行高级找形，以为支杆成员定义合适的候选者。找形过程仅需要基于力密度方法的拓扑结构和张力类型。所提出的算法是从原始差分进化（DE）改进而来的，以减少大量的计算成本。在mDE中，调整了比例因子F和交叉速率c，并且原始DE的突变和选择阶段也被最佳的基于个体的突变和精英选择技术所取代。与特征值和力密度有关的α和β乘积的目标函数被最小化。由于将力密度值视为连续的设计变量，因此mDE获得的最优解比从GA的离散设计变量解出的最优解更准确。通过将获得的结果与文献中的其他方法进行比较，研究了二维和三维张力结构的几个基准数值示例，以验证所提出算法的有效性和鲁棒性。 （C）2016 Elsevier Ltd.保留所有权利。

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