复杂平面多孔模型的等几何分析

doi:10.16180/j.cnki.issn1007-7820.2020.05.007

摘要/Abstract

摘要：

基于NURBS的等几何分析法在模型设计和分析阶段使用相同的几何描述,具有诸多优点。但由于NURBS曲面的局限性,使得其无法有效对多孔模型进行建模和分析。为解决上述问题,文中采用一种模型分片-拼接的方法,在对多孔模型建模过程中采用手工划分和自动划分两种方式把模型分割成若干个容易用NURBS表达的曲面片;然后在分析过程中将上述曲面片进行拼接和控制点自动编号,在保证整体C₀连续的情况下,实现了多孔模型的建模和等几何分析。将分析结果与ANSYS所得结果对比可知两种方法的结果相近,证明了新方法的有效性。

关键词: 有限元法, 等几何分析, 等参单元, 多孔模型, 曲面拼接, NURBS建模

Abstract:

The NURBS-based geometric analysis method commonly use the same geometric description in the model design and analysis stage, which has many advantages. However, due to the limitations of the NURBS surface, it is difficult to effectively model and analyze the porous model. In order to solve the above problems, a segmentation-splicing method was adopted in this paper. In the modeling process of the porous model, the model was divided into several surface patches which were easy to be built by NURBS by using manual division and automatic division. In the analysis process, the surface patches were spliced and the control points were automatically numbered. Modeling and isogeometric analysis of the porous model was achieved in the case of C₀ continuous. Comparing the analysis results with the results obtained by ANSYS, the results of the two methods were similar, which proved the effectiveness of the new method.

Key words: finite element method, isogeometric analysis, isoparametric element, holed structures, surface blending, NURBS modeling

中图分类号:

TP391.9

陈宇,陈龙. 复杂平面多孔模型的等几何分析[J]. 电子科技, 2020, 33(5): 38-44.

CHEN Yu,CHEN Long. Isogeometric Analysis of Complex Planar Porous Model[J]. Electronic Science and Technology, 2020, 33(5): 38-44.

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分片方式	片数	理论控制点数	拼接控制点数
手工	18	162	99
自动	26	416	305