The purpose of this paper is to describe a novel design method to construct lattice structure computational models composed of a set of unit cells including simple cubic, body-centered cubic, face-centered cubic, diamond cubic and octet cubic unit cell.,In this paper, the authors introduce a new implicit design algorithm based on the computation of volumetric distance field (VDF). All the geometric components including lattice core structure and outer skin are represented with VDFs in a given design domain. This enables computationally efficient design of a computational model for an arbitrarily complex lattice structure. In addition, the authors propose a hybrid method based on the VDF and parametric solid models to construct a conformal lattice structure, which is oriented in accordance with the geometric form of the exterior surface. This method enables the authors to design highly complex lattice structure, computational models, in a consistent design framework irrespective of the complexity in geometric representations without sacrificing accuracy and efficiency.,Experimental results are shown for a variety of geometries to validate the proposed design method along with illustrative several lattice structure prototypes built by additive manufacturing techniques.,This method enables the authors to design highly complex lattice structure, computational models, in a consistent design framework irrespective of the complexity in geometric representations without sacrificing accuracy and efficiency.

中文翻译：

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基于参数实体模型的体积距离场共形晶格结构设计

本文的目的是描述一种新的设计方法来构建由一组晶胞组成的晶格结构计算模型，包括简单立方、体心立方、面心立方、金刚石立方和八位立方晶胞。在论文中，作者介绍了一种基于体积距离场 (VDF) 计算的新隐式设计算法。在给定的设计域中，包括晶格核心结构和外壳在内的所有几何组件都用 VDF 表示。这使得能够对任意复杂的晶格结构的计算模型进行高效的计算设计。此外，作者提出了一种基于 VDF 和参数实体模型的混合方法来构建共形晶格结构，该结构根据外表面的几何形状进行定向。