球形磨粒和切削磨粒轮廓分形维数研究

The Fractal Dimension of Profile of Spherical and Cutting Wear Debris

选取 FAENA法作为计算磨粒分形维数方法 ,用试验法、现场收集和磨粒相片 3种方法收集了球形磨粒和切削磨粒各 5 0 0个样本 ,并进行了轮廓分形维数计算 .结果表明 ,这 2种磨粒在 80 0倍放大倍数时具有最好的统计分形 ,轮廓分形维数分布为正态分布 ,球形磨粒分形维数为 D(μD,σ2 )～ D(1.0 2 5 ,0 .36 89× 10 - 4) ,切削磨粒分形维数为 D(μD,σ2 )～ D(1.10 2 ,3.5 79× 10 - 4) ,这

The FAENA method is applied to compute the fractal dimension of profile of the spherical and cutting wear debris. The 500 samples of the spherical and cutting wear particles were collected by each of the following three ways: the test, the field collection, and the photo of wear particles. They were used to compute the fractal dimension of the profile. By analysis of the data, it is showed that the two kinds of wear particles are statistically fractal under 500 and 800 enlargement factor. The fractal dimension of the profile has a normal distribution. In other words, the fractal dimension of the spherical wear particles is D(μ D,σ 2)～D(1.025,0.3689× -4 ), that of the cutting wear particles is D( μ D,σ 2)～D(1.102,3.579× -4 ). The result of the distribution of the fractal dimension of the profile about the two kinds of typical wear particles is important to the automatic recognition of the wear particles in theory and practical fields.