使用 BEM 对弹性力学问题进行基于水平集的拓扑优化

IF 1.9 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Frontiers in Physics Pub Date : 2024-07-16 DOI:10.3389/fphy.2024.1426846

Huiwen Li, Haifeng Gao, Jianguo Liang, Zhiqiang Li, Huidong Xu, Changjun Zheng

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引用次数: 0

摘要

本文介绍了使用边界元法（BEM）对二维弹性动力学问题进行拓扑优化的方法。拓扑导数是基于变异法和邻接变量法得出的。在指定的设计域内，采用水平集方法表示材料域和空隙。因此，可以根据水平集函数的零等值线轻松生成边界。通过数值实施，证明了所提出的拓扑优化方法在隔波和波导问题中的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A level set based topology optimization for elastodynamic problems using BEM

The paper presents a topology optimization methodology for 2D elastodynamic problems using the boundary element method (BEM). The topological derivative is derived based on the variation method and the adjoint variable method. The level set method is employed for the representation of the material domain and voids within a specified design domain. Thus, the boundaries can easily be generated, following the zero isocontour of the level set function. Numerical implementation is carried out to demonstrate the effectiveness of the proposed topology optimization methodology in wave isolation and waveguide problems.

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来源期刊

Frontiers in Physics Mathematics-Mathematical Physics

CiteScore

4.50

自引率

6.50%

发文量

1215

审稿时长

12 weeks

期刊介绍： Frontiers in Physics publishes rigorously peer-reviewed research across the entire field, from experimental, to computational and theoretical physics. This multidisciplinary open-access journal is at the forefront of disseminating and communicating scientific knowledge and impactful discoveries to researchers, academics, engineers and the public worldwide.