A review on feature-mapping methods for structural optimization
A review on feature-mapping methods for structural optimization
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DOI：
10.1007/s00158-020-02649-6
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发表时间：
2019-10
影响因子：
3.9
通讯作者：
F. Wein;Peter D. Dunning;Julián A. Norato
中科院分区：
文献类型：
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作者：
F. Wein;Peter D. Dunning;Julián A. Norato
在这篇评论中，我们确定了一个新的类别的方法，实现和解决结构优化问题，已经出现在过去的20年，我们建议调用特征映射方法。这些方法的两个定义方面是，通过高级几何描述来参数化设计，并且将特征映射到非贴体网格上进行分析。使用这些方法的一个动机是获得对几何形状的更好控制，例如，便于对几何特征施加直接约束，同时避免重新网格化的问题。本文首先提供了一些关键的定义，然后研究了这些方法用于将几何特征映射到固定网格上的成分。这些成分之一对应于用于将单个特征的几何形状映射到固定的分析网格上的机制，从该分析网格中，使用Erdom材料或浸没边界方法进行分析。对于前一种情况，我们称之为伪密度的方法，测试问题制定调查方面的材料插值，边界平滑，和数值积分。我们还审查了其他成分的功能映射技术，包括方法相结合的功能（这是需要进行拓扑优化）和方法之间施加一个最小的分离距离的功能。特征映射方法的文献综述提供了形状优化，组合特征/自由形式优化，拓扑优化。最后，我们讨论了未来潜在的研究方向的特征映射方法。
In this review we identify a new category of methods for implementing and solving structural optimization problems that has emerged over the last 20 years, which we propose to callfeature-mapping methods. The two defining aspects of these methods are that the design is parameterized by a high-level geometric description and that features are mapped onto a non-body-fitted mesh for analysis. One motivation for using these methods is to gain better control over the geometry to, for example, facilitate imposing direct constraints on geometric features, while avoiding issues with re-meshing. The review starts by providing some key definitions and then examines the ingredients that these methods use to map geometric features onto a fixed mesh. One of these ingredients corresponds to the mechanism for mapping the geometry of a single feature onto a fixed analysis grid, from which an ersatz material or an immersed-boundary approach is used for the analysis. For the former case, which we refer to as the pseudo-density approach, a test problem is formulated to investigate aspects of the material interpolation, boundary smoothing, and numerical integration. We also review other ingredients of feature-mapping techniques, including approaches for combining features (which are required to perform topology optimization) and methods for imposing a minimum separation distance among features. A literature review of feature-mapping methods is provided for shape optimization, combined feature/free-form optimization, and topology optimization. Finally, we discuss potential future research directions for feature-mapping methods.