Topology optimization incorporating external variables with metamodeling
Topology optimization incorporating external variables with metamodeling
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DOI：
10.1007/s00158-020-02616-1
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发表时间：
2020-06
影响因子：
3.9
通讯作者：
S. Maruyama;S. Yamasaki;K. Yaji;K. Fujita
中科院分区：
文献类型：
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作者：
S. Maruyama;S. Yamasaki;K. Yaji;K. Fujita
传统的拓扑优化的目标是优化材料分布为指定的设计域。然而，解决拓扑优化问题强烈地依赖于设计者为设计域的形状或其边界条件的规范指定的设置。这种矛盾表明，结构的改进不仅要通过优化材料分布，还要通过优化指定上述设置的附加设计变量来实现。我们将附加设计变量称为外部变量。本文介绍了我们的工作有关解决的拓扑优化设计问题，包括外部变量。我们遵循的方法是制定的设计问题作为一个多层次的优化问题，专注于外部变量和材料分布之间的优势依赖关系。我们提出了一个框架来解决优化问题，利用多层次制定和元建模。元模型近似的外部变量和相应的优化材料分布的性能之间的关系。该框架的有效性证明了三个例子。
The objective of conventional topology optimization is to optimize the material distribution for a prescribed design domain. However, solving the topology optimization problem strongly depends on the settings specified by the designer for the shape of the design domain or their specification of the boundary conditions. This contradiction indicates that the improvement of structures should be achieved by optimizing not only the material distribution but also the additional design variables that specify the above settings. We refer to the additional design variables as external variables. This paper presents our work relating to solving the design problem of topology optimization incorporating external variables. The approach we follow is to formulate the design problem as a multi-level optimization problem by focusing on the dominance-dependence relationship between external variables and material distribution. We propose a framework to solve the optimization problem utilizing the multi-level formulation and metamodeling. The metamodel approximates the relationship between the external variables and the performance of the corresponding optimized material distribution. The effectiveness of the framework is demonstrated by presenting three examples.