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Arbitrary void feature control in level set topology optimization

机译:水平集拓扑优化中的任意空隙特征控制

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Feature-driven topology optimization has been extensively studied in the past decade, and the majority of the works have treated it as the multi-component/void layout optimization problem. A major limitation of this treatment is that the number of components/voids should be defined in advance. To overcome this limitation, this paper presents a novel void feature control method, through which the specified void feature ( in any geometric form) could be well-contained by each interior void in the finalized topology design, regardless of the quantity. Numerical stability of this method is discussed and an auxiliary algorithm has been developed to enhance it. Other than that, the proposed method also serves the purpose of void length scale control, which is also a hot issue in the topology optimization field. To be specific, by tailoring the specified void feature size, the void length scale is guaranteed to be larger than that. To the authors' knowledge, the void length scale control was rarely studied under the level set framework. Through a few numerical case studies, it is proven that the void feature control method is effective while only limited compromise of the structural performance has been observed. (C) 2017 Elsevier B.V. All rights reserved.
机译:在过去的十年中,对特征驱动的拓扑优化进行了广泛的研究,并且大多数工作将其视为多组件/空隙布局优化问题。这种处理方法的主要局限性在于应事先确定组分/空隙的数量。为了克服这一限制,本文提出了一种新颖的空隙特征控制方法,通过该方法,最终的拓扑设计中的每个内部空隙都可以很好地包含指定的空隙特征(任何几何形式),而与数量无关。讨论了该方法的数值稳定性,并开发了一种辅助算法对其进行增强。除此之外,所提出的方法还用于空隙长度尺度控制的目的,这也是拓扑优化领域中的热点问题。具体而言,通过调整指定的空隙特征尺寸,可以确保空隙长度尺度大于该尺度。据作者所知,在水平集框架下很少研究空隙长度尺度控制。通过一些数值案例研究,证明了空隙特征控制方法是有效的,而仅观察到有限的结构性能折衷。 (C)2017 Elsevier B.V.保留所有权利。

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