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首页> 外文会议>Leeds-Lyon Symposium on Tribology; 19990914-17; Leeds(GB) >Scale-invariant analysis of tribological surfaces
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Scale-invariant analysis of tribological surfaces

机译：摩擦表面的尺度不变分析

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摘要

Surface topography affects wear and lubrication mechanisms occurring between two interacting surfaces. Despite its importance, there is no reliable method fully describing 3-D surface topography features and the results provided by currently used methods are not satisfactory. This is because traditional methods, used to characterize surfaces, such as Fourier transforms, statistical functions and parameters are not able to fully describe intrinsic properties of surfaces, especially those that exist over many different scales. Fractal methods have, therefore, been adapted and applied to overcome these difficulties. In this paper, a partition iterated function system (PIFS) method, recently developed by the authors, is briefly described and applied to 3-D surface topography images of artificial orthopaedic implant surfaces and surfaces of wear particles. This method utilises the ability of fractal geometry to describe complex objects such as clouds, trees and mountains by a few mathematical equations. The complex objects can then be reconstructed back from these equations. When the PIFS method is applied to surface information on 3-D surface topography, it is encoded into a set of affine contractive transformations which fully describe details of the surface topography over different scales. The PIFS method developed appears to be superior to other fractal methods used so far to characterize surface topography. It works well with a wide range of fractal surfaces and it can simultaneously be used to mathematically model the surface topography, calculate the fractal dimension and recognise patterns.
机译：表面形貌影响两个相互作用表面之间发生的磨损和润滑机制。尽管它很重要，但没有可靠的方法可以完全描述3-D表面形貌特征，并且当前使用的方法提供的结果并不令人满意。这是因为用于表征表面的传统方法（例如傅立叶变换，统计函数和参数）无法完全描述表面的固有属性，尤其是那些存在于许多不同尺度上的表面。因此，已经采用分形方法来克服这些困难。在本文中，简要介绍了作者最近开发的分区迭代功能系统（PIFS）方法，并将其应用于人工骨科植入物表面和磨损颗粒表面的3-D表面形貌图像。这种方法利用分形几何的能力通过一些数学方程式来描述复杂的物体，例如云，树和山。然后可以根据这些方程重新构造复杂对象。当将PIFS方法应用于3-D表面形貌的表面信息时，会将其编码为一组仿射压缩变换，这些变换可以完全描述不同尺度上的表面形貌细节。开发的PIFS方法似乎优于迄今为止用于表征表面形貌的其他分形方法。它适用于广泛的分形表面，并且可以同时用于数学建模表面形貌，计算分形维数和识别图案。

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