Direct-current electric invisibility through topology optimization
Direct-current electric invisibility through topology optimization
复制标题
DOI：
10.1063/1.5022881
复制
发表时间：
2018-06
影响因子：
3.2
通讯作者：
G. Fujii;Youhei Akimoto;Masayuki Takahashi
中科院分区：
文献类型：
--
作者：
G. Fujii;Youhei Akimoto;Masayuki Takahashi
基于协方差矩阵自适应进化策略（CMA-ES），采用水平集拓扑优化方法，提出了块体各向同性材料直流电斗篷的优化设计方法。所设计的直流电斗篷成功地提供了电绝缘体在直流流中的直流电隐身性；具体地说，发现电位分布与无绝缘体时的分布非常接近。为了产生这种不可见性，我们将直流电斗篷的分布与无绝缘障碍物的分布之间的差异最小化作为目标函数。CMA-ES探索水平集函数的最优集作为设计变量，使目标函数与周长约束最小化。在我们模拟的最佳情况下，隐身条件下的最小目标函数达到无隐身条件下的0.00194%。针对多向直流电斗篷，提出了一种符合四轴结构对称的拓扑优化方法。基于协方差矩阵自适应进化策略（CMA-ES），采用水平集拓扑优化方法，提出了块体各向同性材料直流电斗篷的优化设计方法。所设计的直流电斗篷成功地提供了电绝缘体在直流流中的直流电隐身性；具体地说，发现电位分布与无绝缘体时的分布非常接近。为了产生这种不可见性，我们将直流电斗篷的分布与无绝缘障碍物的分布之间的差异最小化作为目标函数。CMA-ES探索水平集函数的最优集作为设计变量，使目标函数与周长约束最小化。在我们模拟的最佳情况下，隐身条件下的最小目标函数达到无隐身条件下的0.00194%。面向多向直流电斗篷，一种服从四轴结构的拓扑优化…
Based on the covariance matrix adaptation evolution strategy (CMA-ES), advanced designs of direct-current (DC) electric cloaks composed of bulk isotropic materials are presented through a topology optimization using a level set method. The designed DC electric cloaks succeed in providing DC electric invisibility of an electrical insulator in DC flow; specifically, an electric potential distribution is found that closely reproduces a distribution when no insulator is present. To produce this invisibility, we minimized the difference between distributions for the DC electric cloak and one without insulating obstacles as the objective function. CMA-ES explores optimal sets of level set functions as design variables that minimize the objective function with a perimeter constraint. In the best case in our simulation, the minimized objective function under cloaking reaches 0.00194% of that in the absence of cloaking. Toward multidirectional DC electric cloaks, a topology optimization subject to four-axial structural symmetries is demonstrated.Based on the covariance matrix adaptation evolution strategy (CMA-ES), advanced designs of direct-current (DC) electric cloaks composed of bulk isotropic materials are presented through a topology optimization using a level set method. The designed DC electric cloaks succeed in providing DC electric invisibility of an electrical insulator in DC flow; specifically, an electric potential distribution is found that closely reproduces a distribution when no insulator is present. To produce this invisibility, we minimized the difference between distributions for the DC electric cloak and one without insulating obstacles as the objective function. CMA-ES explores optimal sets of level set functions as design variables that minimize the objective function with a perimeter constraint. In the best case in our simulation, the minimized objective function under cloaking reaches 0.00194% of that in the absence of cloaking. Toward multidirectional DC electric cloaks, a topology optimization subject to four-axial struc...