Fractal Signify And Simulation Of Micro Shape Of Rigid Disk Surface

With the development at full speed of the computer technology, the requisition on extra high density, large capacity storage equipment is advanced. The higher request has been put forward for the design of the rigid disk. The flying height between the magnetic head and magnetic disk of the rigid disk is extremely small, which has been about 5~10 nm. Elastic-plastic deformation and abrasion of the magnetic disk surface appear due to accident contact during the start-run-stop period. It is the primary way of the rigid disk damaged. So in order to provide the theoretical foundation for the design of rigid disk, it is necessary to research the surface topography of rigid disk. In nano-tribology, the fractal geometry theory is widely used presently. If the contour line of surface is repeatedly magnified, more details can be observed till nanometer dimension even more little. The topography is very similar in different magnifiable multiple. This proves that the similar of roughness surface may be unique and determinate in different scale. This characteristic can be characterized by fractal geometry theory. The surface of fractal geometry has three main characteristics: Self-affinity. It is still similar to original surface when the surface is magnified and reduced many times. Although it is continual, it has no derivativeness. More and more details will appear when the curve is magnified repeatedly. So its tangent line cannot be made.The fractal parameters are independent of the resolution of the instrument used to simulate the surface.Results of study indicate that the fractal characteristic is independent of scale. Fractal parameter can offer all roughness information of the surface at all scales. So it is a reasonable way using the fractal theory to build contact mechanics model. This paper mostly discusses signifying and simulating microcosmic tribology of rigid disk surface by means of applying fractal geometry theory. So we give brief introduction of fractal geometry theory. Furthermore, we analyze and probe into the problem of how to signify tribology of fractal surface. We put forward that tribology of fractal surface is signified by function of Weierstrss-Manderbrot (for short W-M).W-M function has the characterizations of continuity, non-differentiability and self-affinity. So tribology of fractal surface can be signified by function of W-M. The function has a fractal dimension D (1express it by form of continuum. Then we protract double logarithm graph of function of power spectrum. We simulate the graph to a beeline by the method of least two multiply. And then we attain the slope and intercept of the beeline.Method of structure function: Structure function is also a function of power similar to function of power spectrum. Structure function and assume relation of beeline on the double logarithm graph. Double logarithm graph of structure function can be protracted according to the practical measured data. Subsequent step resembles to method of power spectrum. It needn't analyze spectrum that det...