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A gradient-based, parameter-free approach to shape optimization
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DOI：10.1016/j.cma.2010.10.004.png)
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In shape optimization, the independent node movement approach, wherein finite element node coordinates are used directly as design variables, allows the most freedom for shape change and avoids the time-consuming parameterization preprocess. However, this approach lacks a length scale control that is necessary to ensure a well-posed shape optimization problem and avoid numerical instability. Motivated by the success of filtering techniques that impose minimum length scales in topology optimization, we propose a scheme with consistent filtering to introduce a length scale and thereby ensure smoothness in shape optimization while preserving the advantages of the independent node movement approach. (C) 2010 Elsevier BM. All rights reserved.
Keyword:
Shape optimization
Parameter-free
Consistent filtering
Smoothing
Length scale
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7.3
论文数:
1.3W
被引数:
5.6W
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