Research on the Validity of using Nayak's Theory for Summit Parameters of Discrete Isotropic Gaussian Surfaces
Research on the Validity of using Nayak's Theory for Summit Parameters of Discrete Isotropic Gaussian Surfaces
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DOI：
10.1299/jamdsm.3.125
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发表时间：
2009
影响因子：
0.9
通讯作者：
M. Uchidate;A. Iwabuchi;K. Kikuchi;Tomoharu Shimizu
中科院分区：
文献类型：
--
作者：
M. Uchidate;A. Iwabuchi;K. Kikuchi;Tomoharu Shimizu
在本文中，更适当地表征表面形貌的摩擦学的目的，Nayak的理论的有效性进行评估，通过与直接计算的比较。在这项研究中检查的顶点参数是面密度，平均曲率半径和高度的标准差。文中还讨论了峰高的概率密度和峰高与平均曲率半径的关系。使用随机模型生成的均匀、各向同性和高斯分布的表面，以避免不可预测的成分，如噪声和局部不规则性。总体而言，估计显示出良好的定性协议与直接计算。密度的相对差异范围为-10至20%，曲率的相对差异范围为-20至8%，高度的相对差异范围为-2至10%。
In this paper, with the aim of more appropriately characterizing surface topography for tribology, the validity of Nayak's theory is assessed through a comparison with direct calculations. The summit parameters examined in this study are the areal density, mean radius of curvature, and standard deviation of height. Functions such as the probability density of summit height and summit height vs. mean radius of curvature are also discussed. Purely homogeneous, isotropic and Gaussian distributed surfaces generated with a stochastic model are used to avoid unpredictable components such as noise and local irregularities. Overall, the estimation showed good qualitative agreement with the direct calculation. The relative discrepancies range from -10 to 20% for density, -20 to -8% for curvature, and -2 to 10% for height.