论文标题
固体NURBS符合脚手架的同几何分析
Solid NURBS Conforming Scaffolding for Isogeometric Analysis
论文作者
论文摘要
这项工作引入了一个脚手架框架，以将固体结构与符合NURBS元素进行统一的固体结构进行，以进行同几何分析。一种新颖的配方在最小的多个符合媒介元素的多数中引入了空间的拓扑，几何和参数细分。这些决定了任意分支模式的多门脚手架。设计了一个固体平滑范式，用于构象脚手架，该脚手架的成就高于位置几何和参数连续性。显示了用于变化复杂性的合成形状，对于模块化CAD几何，用于镶嵌网状网格的分支结构以及成像数据中的有机生物结构的结果。代表性模拟证明了引入的脚手架框架的有效性，具有可扩展性能和用于同几何分析的开创性应用。
This work introduces a scaffolding framework to compactly parametrise solid structures with conforming NURBS elements for isogeometric analysis. A novel formulation introduces a topological, geometrical and parametric subdivision of the space in a minimal plurality of conforming vectorial elements. These determine a multi-compartmental scaffolding for arbitrary branching patterns. A solid smoothing paradigm is devised for the conforming scaffolding achieving higher than positional geometrical and parametric continuity. Results are shown for synthetic shapes of varying complexity, for modular CAD geometries, for branching structures from tessellated meshes and for organic biological structures from imaging data. Representative simulations demonstrate the validity of the introduced scaffolding framework with scalable performance and groundbreaking applications for isogeometric analysis.
