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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Level set-based topology optimization with overhang constraint: Towards support-free additive manufacturing
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Level set-based topology optimization with overhang constraint: Towards support-free additive manufacturing

机译：具有水平约束的基于级别集的拓扑优化：迈向无支撑的增材制造

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This paper presents a level set-based topology optimization method considering the overhang constraint in additive manufacturing (AM) processes. Though the combination of the topology optimization and AM shows a promising potential and high design flexibility, there are still certain limitations. The overhang constraint is one of the major issues that need to be considered in the design stage. It requires the inclination angles of structural downward-facing surfaces to be larger than a given lower bound, so as to prevent the structure from warping or collapsing during the AM process. We propose a new form of overhang constraint in the level set framework, which is expressed as a single domain integral instead of point-wise constraints. This domain integral form facilitates the detection of overhang constraint violation. The shape derivative of the overhang constraint is derived by using the signed distance property of the level set function. The proposed method is capable of dealing with constraints with different minimum overhang angles. Theoretically, it allows the optimization to proceed from an arbitrary structural layout, without the need to satisfy the overhang constraint in the initial design. Several numerical examples are given to show the validity and effectiveness of the proposed method. It is seen in these examples that the overhang constraint is satisfied mainly by adjusting the local shape of structural members violating the overhang constraint during the optimization process. Thus, the overhang angle constrained optimization can generate similar load paths as in conventional optimal designs in most cases, without significantly worsening the structural stiffness. (C) 2018 Elsevier B.V. All rights reserved.
机译：本文提出了一种基于水平集的拓扑优化方法，该方法考虑了增材制造（AM）过程中的突出约束。尽管拓扑优化和AM的组合显示出有希望的潜力和较高的设计灵活性，但仍然存在某些限制。悬伸约束是设计阶段需要考虑的主要问题之一。它要求结构朝下的表面的倾斜角度必须大于给定的下限，以防止在AM过程中结构发生翘曲或塌陷。我们在水平集框架中提出了一种新的悬垂约束形式，它被表示为单个域积分而不是逐点约束。该域积分形式有助于检测突出约束冲突。通过使用水平集函数的有符号距离属性，可以得出悬伸约束的形状导数。所提出的方法能够处理具有不同的最小悬垂角的约束。从理论上讲，它允许优化从任意结构布局开始，而无需在初始设计中满足悬置约束。数值例子表明了该方法的有效性。从这些示例中可以看出，悬垂约束主要通过在优化过程中违反悬垂约束的结构构件的局部形状来满足。因此，在大多数情况下，悬垂角约束的优化可以生成与常规最佳设计中相似的载荷路径，而不会显着降低结构刚度。 （C）2018 Elsevier B.V.保留所有权利。

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