| 成形板料表面的接触分形几何模型研究 |
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| 引用本文： | 张铁山,张友良,阎辉.成形板料表面的接触分形几何模型研究[J].中国机械工程,2004,15(11):965-967,972. |
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| 作者姓名： | 张铁山 张友良 阎辉 |
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| 作者单位： | 南京理工大学机械工程学院,南京市,210094 |
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| 摘 要： | 提出一种新的方法用以描述板料与模具的接触问题。利用接触式轮廓仪对板料粗糙表面进行测量和分析，论证了成形板料表面的微观形貌可以用weierstrass—Mandelbrot分形函数来表征，所得到的参数是不依赖于测量尺度而变的“固有”参数。根据分形几何理论和接触力学理论，建立了板料与模具接触的接触面积与变形关系模型。
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| 关 键 词： | 板料 表面 接触 分形几何 |
| 文章编号： | 1004-132X(2004)11-0965-04 |
Fractal Model for Contact of Sheet Metal Surfaces |
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| Zhang Tieshan Zhang Youliang Yan huiNanjing University of Science and Technology,Nanjing.Fractal Model for Contact of Sheet Metal Surfaces[J].China Mechanical Engineering,2004,15(11):965-967,972. |
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| Authors: | Zhang Tieshan Zhang Youliang Yan huiNanjing University of Science and Technology Nanjing |
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| Affiliation: | Zhang Tieshan Zhang Youliang Yan huiNanjing University of Science and Technology,Nanjing,210094 |
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| Abstract: | This paper present a new solution to describe contacts between sheet matals and dies. First, the profiles of sheet metal surfaces were obtained by contact profiler, and the datum were studied. The results show the micro profile of sheet metal surfaces could be described by Weierstrass-Mandelbrot fractal function. The obtained parameters would not change with the resolution of roughness-measuring instrument and the lengths of samples. Second, according to the theory of fractal geometry and contact mechanics, the fractal models for the contact area and contact deformation when sheet metal contact with die were given. |
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| Keywords: | sheet metal surface contact fractal geometry |
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