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通过修正的表面形貌高斯随机分形模型从理论上推导出支承长度率曲线与分形维数有关，而形貌系数对该曲线的影响较小，从实验上验证了这一结论。得出，分形维数提供了表面接触承载能力的单值定量尺度，是比支承长度率曲线更简洁而实用的参数。
According to the revised Gaussian random fractal model of surface topography, it is deduced theoretically that the curve of bearing length rate is related to the fractal dimension, and the effect of morphology coefficient on this curve is small. This conclusion is verified experimentally. It is concluded that the fractal dimension provides a single-value quantitative measure of the surface contact carrying capacity and is a more concise and practical parameter than the support length rate curve.