计算机辅助设计与图形学学报
計算機輔助設計與圖形學學報
계산궤보조설계여도형학학보
JOURNAL OF COMPUTER-AIDED DESIGN & COMPUTER GRAPHICS
2009年
12期
1715-1721
,共7页
沈建国%陈志杨%张引%张三元%叶修梓
瀋建國%陳誌楊%張引%張三元%葉脩梓
침건국%진지양%장인%장삼원%협수재
有限元%网格优化%网格细分%网格简化%网格规则化
有限元%網格優化%網格細分%網格簡化%網格規則化
유한원%망격우화%망격세분%망격간화%망격규칙화
finite element%mesh optimization%mesh subdivision%mesh simplification%mesh regularization
从逆向工程或者简单离散实体模型得到的网格质量较差,通常不能直接用于有限元分析,为此提出一种迭代优化算法.首先对给定网格进行细分得到足够的自由度,以改变网格的几何和拓扑;然后在误差允许的范围内,通过简化和规则化来提高网格质量.该过程不断迭代,直到网格质量满足分析要求或者达到迭代上限.实验结果表明,该算法既能灵活地控制网格属性,又能有效地提高网格质量.
從逆嚮工程或者簡單離散實體模型得到的網格質量較差,通常不能直接用于有限元分析,為此提齣一種迭代優化算法.首先對給定網格進行細分得到足夠的自由度,以改變網格的幾何和拓撲;然後在誤差允許的範圍內,通過簡化和規則化來提高網格質量.該過程不斷迭代,直到網格質量滿足分析要求或者達到迭代上限.實驗結果錶明,該算法既能靈活地控製網格屬性,又能有效地提高網格質量.
종역향공정혹자간단리산실체모형득도적망격질량교차,통상불능직접용우유한원분석,위차제출일충질대우화산법.수선대급정망격진행세분득도족구적자유도,이개변망격적궤하화탁복;연후재오차윤허적범위내,통과간화화규칙화래제고망격질량.해과정불단질대,직도망격질량만족분석요구혹자체도질대상한.실험결과표명,해산법기능령활지공제망격속성,우능유효지제고망격질량.
The mesh generated by reverse engineering or simple tessellations of solid models usually cannot be directly applied to analysis due to bad quality. An iterative optimization algorithm is proposed. Mesh is first refined to get enough degree of freedom for changing topology and geometry. Then within a given tolerance the mesh quality is improved by simplification and regularization. This progress is iterated until the mesh quality meets the requirement or a given maximum number of iterations are reached. The experimental results are given to demonstrate the flexibility and effectiveness of the proposed algorithm.