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The Application of Fractal Geometry in the Refinement of FEM Mesh(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1996年04期
Page:
23-26
Research Field:
Publishing date:

Info

Title:
The Application of Fractal Geometry in the Refinement of FEM Mesh
Author(s):
Zhang Jianrun Sun Qinghong  Xu Shangxian
Department of Mechanical , Southeast Univer sity, Nanjing 210018
Keywords:
f inite elements geomet ry latt ices divisio ns f ractal geomet ry refinement
PACS:
TB231
DOI:
-
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.

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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Memo:
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Last Update: 2013-04-11