Heaviside-Based Morphological Filters for Topology Optimization

6th Annual International Conference on Material Science and Environmental Engineering

材料科学;生态环境科学

Qie, Longfei^1 ; Jing, Shikai^1 ; Lian, Ruichao^1

School of Mechanical Engineering, Beijing Institute of Technology, 5 South Zhongguancun Street, Haidian District, Beijing, China^1

关键词: Compliance minimization;    Density-based;    Erosion filters;    Manufacturability;    Mesh independence;    Morphological filters;    Restriction methods;    Volume-preserving;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/472/1/012034/pdf
DOI  :  10.1088/1757-899X/472/1/012034

来源: IOP

【 摘 要 】

To ensure manufacturability and mesh independence in density-based topology optimization schemes, it is imperative to use restriction methods. This paper proposes a family of Heaviside-based morphological filters based on the morphology-based restriction schemes, namely open, close, open-close and close-open filters. In the proposed morphological filters, Heaviside projection filter plays the role of dilation filter and modified Heaviside projection filter acts as the erosion filter. They work as principle operators and then applied sequentially to form the close, open, close-open, and open-close filters. The proposed morphological filters are tested by the compliance minimization problem. Test results show that the proposed four filters are volume preserving, and the characteristics of each filter are discussed.