[1]张建润,孙庆鸿,许尚贤.分形在有限元网格图形细化中的应用[J].南京理工大学学报(自然科学版),1996,(04):23-26.
　Zhang JianrunSun Qinghong Xu Shangxian.The Application of Fractal Geometry in the Refinement of FEM Mesh[J].Journal of Nanjing University of Science and Technology,1996,(04):23-26.
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分形在有限元网格图形细化中的应用()
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《南京理工大学学报》（自然科学版）[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
1996年04期
页码:
23-26
栏目:
出版日期:
1996-08-30

文章信息/Info

Title:
The Application of Fractal Geometry in the Refinement of FEM Mesh
作者:
张建润; 孙庆鸿; 许尚贤
东南大学机械系, 南京210018
Author(s):
Zhang Jianrun　Sun Qinghong 　Xu Shangxian
Department of Mechanical , Southeast Univer sity, Nanjing 210018
关键词:
有限元;  几何格;  划分;  分形;  细化
Keywords:
f inite elements;  geomet ry latt ices;  divisio ns;  f ractal geomet ry ;  refinement
分类号:
TB231
摘要:
有限元网格图形的自动生成及细化是进行有限元计算的一个重要环节，它直接关系到运算的速度和准确性。该文采用“分形”理论建立了有限元网格图形自动生成中的细化递推模型，它不同于传统的网格自动生成中的“树”理论，而是采用了“分形”过程中的自相似性。它具有运算速度快，内存占用少的特点，尤其适用于有限元分析过程中的前处理。这种方法不仅适用于二维系统的有限元分析，同时也可推广到三维系统
Abstract:
T he automat ic generat ion of FEM mesh and it s refinement is the key in the FEM calculat ion. It direct ly ef fect s the calculat io n speed and accuracy . In this paper, an iterated model of r ef inement in the pro cessing of automat ic mesh generat ion of FEM is built . It is dif ferent f rom t radit ional “t ree”co ncept s in the automat ic generat ion o f meshs instead of using self-similar ity which appears in fractal processing. It is characterized by it s quick calculat io n and less memory . It is suited in part icular for the pr ocedure of pre pr ocessing in the FEM. T his appro ach not o nly f it s tw o dimensional system but thr ee dimensional sy stem as w ell. It pr ovides a new metho d for FEM sof tw ar e desig n.

参考文献/References:

1　许尚贤. 机械零部件的现代设计方法. 北京: 高等教育出版社, 1994
2　Bov a S W, Car ey G F. M esh g ener ation/ r efinement using fractal concept s and itera ted function systems. International Jour nal for Numer ical M ethods in Engineer ing , 1992, 33: 287～305
3　应道宁, 吴中奇, 王尔健. 计算机绘图. 杭州: 浙江大学出版社. 1990. 30～49

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备注/Memo

备注/Memo:
张建润　男　32岁　讲师
更新日期/Last Update: 2013-04-11