A new hole insertion method for level set based structural topology optimization
A new hole insertion method for level set based structural topology optimization
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DOI：
10.1002/nme.4384
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发表时间：
2013-01
影响因子：
2.9
通讯作者：
Peter D. Dunning;Alicia Kim
中科院分区：
文献类型：
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作者：
Peter D. Dunning;Alicia Kim
利用水平集函数进行结构形状和拓扑优化正变得越来越普遍。然而，传统方法自然不允许创建新的孔，解决方案可能依赖于初始设计。已经提出了各种方法来实现新的孔插入；然而，孔插入和边界优化之间的联系可能不清楚。本文提出的新方法利用二次水平集函数来表示二维问题中的伪第三维，以便于插入新的孔。二次函数的更新连接到初级水平集函数，形成了边界优化和孔创建之间的有意义的联系。对该方法的性能进行了研究，以确定对一系列问题产生良好解决方案的合适参数。版权所有©2012 John Wiley&Sons，Ltd.
Structural shape and topology optimization using level set functions is becoming increasingly popular. However, traditional methods do not naturally allow for new hole creation and solutions can be dependent on the initial design. Various methods have been proposed that enable new hole insertion; however, the link between hole insertion and boundary optimization can be unclear. The new method presented in this paper utilizes a secondary level set function that represents a pseudo third dimension in two‐dimensional problems to facilitate new hole insertion. The update of the secondary function is connected to the primary level set function forming a meaningful link between boundary optimization and hole creation. The performance of the method is investigated to identify suitable parameters that produce good solutions for a range of problems. Copyright © 2012 John Wiley & Sons, Ltd.