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首页> 外文期刊>Composite Structures >Optimizing cellular structures through the M-VCUT level set method with microstructure mapping and high order cutting
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Optimizing cellular structures through the M-VCUT level set method with microstructure mapping and high order cutting

机译：通过M-VCUT级别设置方法优化蜂窝结构，具有微结构映射和高阶切割

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摘要

This paper presents two important extensions of the multiple variable cutting (M-VCUT) level set method for the topology optimization of cellular structures. First, because the macroscale shape of a cellular structure can be highly irregular and the microstructures need to be optimized in an unstructured cell mesh, a mapping technique is developed to map microstructure prototypes from a reference square cell to quadrilateral cells. Second, in order to make the geometric representation model more flexible so that complex structures can be properly described, high order cutting functions, for instance biquadratic and bicubic cutting functions, are employed to cut the basic level set functions. While the merits of VCUT and M-VCUT level set methods are inherited (i.e., naturally connected microstructure and enlarged design freedom), the proposed two extensions enable the optimization to be more flexible to deal with cellular structure with more complex geometry.
机译：本文介绍了多变量切割（M-VCUT）水平集方法的两个重要扩展，用于蜂窝结构的拓扑优化。首先，因为蜂窝结构的宏观形状可以是高度不规则的，并且需要在非结构化的单元网中优化微结构，所以开发了一种映射技术，以将来自参考方细胞的微结构原型映射到四边形细胞。其次，为了使几何表示模型更加灵活，使得可以适当地描述复杂结构，采用高阶切割功能，例如双层切割功能，用于切割基本电平集功能。虽然VCUT和M-VCUT级别设定方法的优点是继承（即，自然连接的微观结构和放大的设计自由），但是所提出的两个延伸使得优化能够更加灵活地处理具有更复杂几何形状的蜂窝结构。

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