| Summary: | 碩士 === 國立成功大學 === 材料科學及工程學系碩博士班 === 101 === With the development of the micro-machining process technology, manufacturing regular micro structures on surface with a high precision is feasible. While analyzing hydrodynamic lubrication effects induced by surface roughness, it requires enormous calculation time and tremendous memory space, in order to build extremely dense meshes. In some worse situations, the meshes cannot even be built. To solve the problem, averaging techniques have been developed recently.
Flow factor and homogenization are the most famous averaging techniques in Tribology. Flow factor used to be a well-known method because of its characteristic to deal with random surface that cannot be dealt by homogenization. Compared to the flow factor, homogenization is based on much rigorous theories mainly deduced from reasonable boundary setting. Thus, homogenization is much more reliable than flow factor. In order to make homogenization easier to use, this paper modified the original homogenized Reynolds Equation by using curve fitting techniques and Mohr’s circle theory, which simplifies the solution process significantly. It should be noted that this is the first time curve fitting techniques have been used in homogenization. Also, some discussions about the relationship between load and several parameters of texture such as orientation, aspect ratio and density are included in this article.
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