Study of the Relationship Between Fractal Model Parameters and Roughness Parameter R<sub>a</sub>

2004, Volume 6, Issue 5

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Strategic Study of CAE >> 2004, Volume 6, Issue 5

Study of the Relationship Between Fractal Model Parameters and Roughness Parameter R_a

Hangzhou Institute of Electronic Engineering, Hangzhou 310037, China

Funding project：国家自然科学基金资助项目（50275043），浙江省教育厅资助项目（20020206） Received: 2003-07-08 Revised: 2003-09-13 Available online: 2004-05-20

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Abstract

The W-M fractal model and the physical meaning of fractal parameters (D, G，y) are briefly introduced in this paper. The relationships between model parameters and roughness parameter R_a are studied theoretically. The simulation shows that their relationships are correct.

Keywords

W-M fractal model ; fractal parameters ; roughness R_a

Figures

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References

[ 1 ] MandelbrotBB .Fractalcharacteroffracturesurfaces　　　　ofmetals[J]Nature, 1984, 308:1571～1572

[ 2 ] MajumdarA .Afractalcharacterizationandsimulationofroughsurfaces[J].Wear, 1990, 136:313～327

[ 3 ] ThomasTR .Roughsurface[M ].NewYork:LongmanGroupLtd, 1982

[ 4 ] 吴立群.分形、小波理论在粗糙轮廓建模与设计中的应用研究[D].杭州:浙江大学, 2001

[ 5 ] 潘玉良, 吴立群, 陈国金, 等.轴类零件粗糙度参数模糊设计系统研究[J].组合机床与自动化加工技术, 2001, (6) :13～16 link1

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