Research And Application Of Fractal Theory In Tribology System

For it is difficult to solve fractal characteristic surface's hausdorff dimension, by using self affine interated function systems theory and fractal interpolation curve's dimension theory. We draw a hausdorff dimension solution of the fractal surfaces that are global and local similarity. Thus, laying foundation for fractal surface dimension study.For the phenomenon that using experimental apparatus to research static coefficient. How-ever, it can't bring light to friction system. Based on fractal theory, a handy method to compute dimension D and a function to express friction roughness parameter G are put forward. On the basis of using W-M function to express rough surface outline at present. In this paper, we make use of fractal interpolation theory proofread and correct the outline of contact rough surface. We draw the static friction coefficient influence factor ?* by analysising the contact surface force. By using numerical simulation to express its influence relation on static friction coefficient ?. Lastly, the research will lay mathematical foundation for tribology'progress.A tyre clenching dimension theory is proposed that based on fractal theory research and co-mbined road surface fractal feature with tyre viscoelasticity analysis. What's more, an improved sliding friction model is built. By comparing sliding friction with Savkoor's, the reliability of the model is tested. Using the numerical simulation to analyse the law of sliding friction under diffe-rent fractal dimension road and different feature tyre. The results show that the model can be we-ll express the law of different fractal dimension road and different feature tyre effect on sliding f-riction. Thus, it lay the theorical foundation for the complex rub system.