Truss lattices are common in a wide variety of engineering applications, due to their high ratio of strength versus relative density. They are used both as the interior support for other structures, and as structures on their own. Using 3D sphere packing, we propose a set of methods for generating truss lattices that fill the interior of B-rep models, polygonal or (trimmed) NURBS based, of arbitrary shape. Once the packing of the spheres has been established, beams between the centers of adjacent spheres are constructed, as spline based B-rep geometry. We also demonstrate additional capabilities of our methods, including connecting the truss lattice to (a shell of) the B-rep model, as well as constructing a tensor-product trivariate volumetric representation of the truss lattice — an important step towards direct compatibility for analysis.

由于桁架格的强度与相对密度之比很高，因此在多种工程应用中都很常见。它们既可以用作其他结构的内部支撑，又可以单独用作结构。使用3D球面填充，我们提出了一组生成用于填充B-rep模型内部（基于多边形或（修剪）NURBS）任意形状的桁架网格的方法。一旦确定了球的堆积，就将基于相邻样条的B-rep几何构造相邻球中心之间的光束。我们还演示了我们方法的其他功能，包括将桁架晶格连接到B-rep模型（的外壳），以及构造桁架晶格的张量积三变量体积表示形式–迈向直接兼容分析的重要一步。