MEASUREMENT OF FRACTAL DIMENSION FROM SURFACE ASPERITY PROFILE

被引:11
作者
SASAJIMA, K
TSUKADA, T
机构
[1] Department of Mechanical Engineering Saitama University Shimo-Ohkubo 255, Urawa City, Saitama
[2] Department of Mechanical Engineering Tokyo Institute of Technology Okayama, 152, Meguro-ku Tokyo
关键词
D O I
10.1016/0890-6955(92)90069-S
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents differences of fractal dimension between calculating methods of it. It is shown that fractal dimension changes between 1 and 2 in two-dimensional profile, the dimension changes with changing vertical/horizontal magnification ratio of profile according to the conventional dividing procedure. It is also shown that fractal dimension changes between same range with changing aspect ratio of reticular cell in calculating the dimension with reticular cell counting method. Then we propose normalized reticular cell counting method, length in the measuring direction is normalized by auto-correlation length and height by standard deviation of height in two different directions. Fractal dimension must be valued with its calculating method and conditions.
引用
收藏
页码:125 / 127
页数:3
相关论文
共 3 条
[1]  
Gagnepain, Roques-Carmes, Wear, 109, (1986)
[2]  
Mandelbrot, The Fractal Geometry of Nature, (1983)
[3]  
Sayles, Thomas, Nature, 271, 2, (1978)