A locally refinable T-spline finite element method for CAD/CAE integration
A locally refinable T-spline finite element method for CAD/CAE integration
复制标题
用于 CAD/CAE 集成的局部可细化 T 样条有限元方法
DOI：
10.12989/sem.2008.30.2.225
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发表时间：
2008
影响因子：
2.2
通讯作者：
Yu
中科院分区：
文献类型：
--
作者：
S. Youn;Tae;Ki;Yu
T 样条是最近提出的用于几何建模的数学工具，是 B 样条的推广。使用 T 样条线可以有效地执行局部细化，但使用 B 样条线或 NURBS 时则不然。使用 T 样条，可以轻松组合具有不匹配边界的面片，无需特殊技术。在本研究中，提出了使用 T 样条的分析框架。在此框架中，T 样条既用于几何描述又用于解空间的近似。该分析框架可以成为 CAD/CAE 集成方法的基础。在此方法中，直接导入 CAD 模型作为分析模型，无需额外的有限元建模。给出了一些数值例子来说明当前分析框架的有效性。
T-splines are recently proposed mathematical tools for geometric modeling, which are generalizations of B-splines. Local refinement can be performed effectively using T-splines while it is not the case when B-splines or NURBS are used. Using T-splines, patches with unmatched boundaries can be combined easily without special techniques. In the present study, an analysis framework using T-splines is proposed. In this framework, T-splines are used both for description of geometries and for approximation of solution spaces. This analysis framework can be a basis of a CAD/CAE integrated approach. In this approach, CAD models are directly imported as the analysis models without additional finite element modeling. Some numerical examples are presented to illustrate the effectiveness of the current analysis framework.