Abstract

This paper presents a two-stage procedure for density-based optimization towards a fail-safe design. Existing approaches either are computationally extremely expensive or do not explicitly consider fail-safe requirements in the optimization. The current approach trades off both aspects by employing two sequential optimizations to deliver redundant designs that offer robustness to partial failure. In the first stage, a common topology optimization or a topology optimization with local volume constraints is performed. The second stage is referred to as “density-based shape optimization” since it only alters the outline of the structure while still acting on a fixed voxel-type finite element mesh with pseudo-densities assigned to each element. The performance gain and computational efficiency of the current approach are demonstrated by application to various 2D and 3D examples. The results show that, in contrast to explicitly enforcing fail-safety in topology optimization, the current approach can be carried out with reasonable computational cost. Compared to the local volume constraint approach, the suggested procedure further increases the fail-safe performance by 47% for the example considered.

中文翻译：

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基于密度的形状优化用于故障安全设计

摘要

本文介绍了针对故障安全设计的基于密度的优化的两步过程。现有方法要么在计算上非常昂贵，要么在优化中没有明确考虑故障安全要求。当前的方法通过采用两个顺序优化来提供冗余设计以提供对部分故障的鲁棒性，在这两个方面之间进行权衡。在第一阶段，执行常见的拓扑优化或具有局部体积约束的拓扑优化。第二阶段称为“基于密度的形状优化”，因为它仅更改结构的轮廓，同时仍作用于固定的体素型有限元网格，并为每个元素分配了伪密度。通过将其应用于各种2D和3D实例，演示了当前方法的性能增益和计算效率。结果表明，与在拓扑优化中显式强制执行故障安全相反，当前方法可以以合理的计算成本执行。与本地卷约束方法相比，对于所考虑的示例，建议的过程将故障安全性能进一步提高了47％。