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VCUT level set method for topology optimization of functionally graded cellular structures

机译:VCUT级别设置功能分级蜂窝结构的拓扑优化方法

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This paper presents a variable cutting (VCUT) level set based topology optimization method to design functionally graded cellular structures (FGCS). A variable and continuous cutting function by interpolating with a set of height variables is proposed to generate functionally graded cellular structures, which offers a novel tool to optimize the macroscopic graded pattern. Due to the continuity of the cutting function, perfect geometric connections between adjacent cells are guaranteed without imposing extra constraints in the optimization. In addition, a solid covering skin can be easily attached to the FGCS by means of the variable cutting function. Three FGCS design problems, including graded density control, compliance minimization and layered cellular structure design, are presented to demonstrate the effectiveness and applicability of the proposed method. The optimized 2D and 3D macroscopic FGCS designs exhibit well-performing structural layout with fully connected micro-scale geometries. (C) 2019 Elsevier B.V. All rights reserved.
机译:本文介绍了一种基于拓扑优化方法的可变切割(VCUT)级别集,用于设计功能分级蜂窝结构(FGC)。提出通过与一组高度变量进行插值来产生可变和连续切割功能,以产生功能渐变的蜂窝结构,该结构提供了一种优化宏观分级图案的新型工具。由于切割功能的连续性,保证了相邻小区之间的完美几何连接,而不会在优化中施加额外的约束。另外,通过可变切割功能可以容易地将固体覆盖皮肤容易地连接到FGC。提出了三种FGCS设计问题,包括分级密度控制,符合性最小化和层状蜂窝结构设计,以证明所提出的方法的有效性和适用性。优化的2D和3D宏观FGCS设计表现出具有完全连接的微尺度几何形状的性能良好的结构布局。 (c)2019 Elsevier B.v.保留所有权利。

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