期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 63, 期 13, 页码 1911-1938出版社
WILEY
DOI: 10.1002/nme.1347
关键词
topology optimization; bilateral filtering; regularization method; non-linear filters; black and white design
Filtering has been a major approach used in the homogenization-based methods for structural topology optimization to suppress the checkerboard pattern and relieve the numerical instabilities. In this paper a bilateral filtering technique originally developed in image processing is presented as an efficient approach to regularizing the topology optimization problem. A non-linear bilateral filtering process leads to a suitable problem regularization to eliminate the checkerboard instability, pronounced edge preserving smoothing characteristics to favour the 0-1 convergence of the mass distribution, and computational efficiency due to its single pass and non-iterative nature. Thus, we show that the application of the bilateral filtering brings more desirable effects of checkerboard-free, mesh independence, crisp boundary, computational efficiency and conceptual simplicity. The proposed bilateral technique has a close relationship with the conventional domain filtering and range filtering. The proposed method is implemented in the framework of a power-law approach based on the optimality criteria and illustrated with 2D examples of minimum compliance design that has been extensively studied in the recent literature of topology optimization and its efficiency and accuracy are highlighted. Copyright (c) 2005 John Wiley & Sons, Ltd.
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