期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 112, 期 10, 页码 1402-1438出版社
WILEY
DOI: 10.1002/nme.5562
关键词
topology optimization; level-set method; grayscale element; r-refinement method; three-dimensional problem; finite element method
资金
- Toyota Physical and Chemical Research Institute Scholars
In this paper, we propose a three-dimensional (3D) grayscale-free topology optimization method using a conforming mesh to the structural boundary, which is represented by the level-set method. The conforming mesh is generated in an r-refinement manner; that is, it is generated by moving the nodes of the Eulerian mesh that maintains the level-set function. Although the r-refinement approach for the conforming mesh generation has many benefits from an implementation aspect, it has been considered as a difficult task to stably generate 3D conforming meshes in the r-refinement manner. To resolve this task, we propose a new level-set based r-refinement method. Its main novelty is a procedure for minimizing the number of the collapsed elements whose nodes are moved to the structural boundary in the conforming mesh; in addition, we propose a new procedure for improving the quality of the conforming mesh, which is inspired by Laplacian smoothing. Because of these novelties, the proposed r-refinement method can generate 3D conforming meshes at a satisfactory level, and 3D grayscale-free topology optimization is realized. The usefulness of the proposed 3D grayscale-free topology optimization method is confirmed through several numerical examples. Copyright (C) 2017 John Wiley & Sons, Ltd.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据