A hybrid sensitivity filtering method for topology optimization
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香港中文大學研究人員

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摘要In topology optimization, filtering techniques have become quite popular in practice. In this paper, an accurate and efficient hybrid sensitivity filtering approach based on the traditional and bilateral sensitivity filtering approaches is proposed. In the present hybrid approach, the traditional sensitivity filter is applied to a subdomain where numerical instabilities are likely to occur to overcome the numerical instabilites robustly. Filtering on mesh-independent holes identified by an image-processing-based technique is prohibited to reduce the computational cost. The bilateral approach is employed for the corresponding nearest neighboring elements of the mesh-independent holes to drive the 0-1 convergence of their boundaries. As a result, the optimal designs can be checkerboard-free, mesh-independent and mostly black-and-white. The possible side effects of the traditional and bilateral sensitivity filtering approaches can be alleviated. Existence of solutions can be ensured in a more accurate manner. The high accuracy and efficiency of the present approach are illustrated with classical examples in minimum compliance design. It is suggested that the present hybrid approach for topology optimization be highly appealing.
著者Wang SY, Lim KM, Khoo BC, Wang MY
期刊名稱Computer Modeling in Engineering and Sciences
出版年份2008
月份1
日期1
卷號24
期次1
出版社Tech Science Press
頁次21 - 50
國際標準期刊號1526-1492
電子國際標準期刊號1526-1506
語言英式英語
關鍵詞bilateral filter; black-and-white designs; existence of solutions; numerical instabilities; sensitivity filter; topology optimization
Web of Science 學科類別Engineering; Engineering, Multidisciplinary; ENGINEERING, MULTIDISCIPLINARY; Mathematics; Mathematics, Interdisciplinary Applications; MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

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