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运用变分法研究了磨削表面的分形行为，认为用分形维数评价磨削表面的表面粗糙度与传统的评价参数相比，具有与采样长度和测量仪器分辨率无关的优点，可作为一个评价参数来评价磨削表面的表面粗糙度．
Using the variational method to study the fractal behavior of the grinding surface, it is considered that the evaluation of the surface roughness of the grinding surface using the fractal dimension has advantages over the sampling length and the resolution of the measuring instrument, compared with the traditional evaluation parameters, and can be used as a The parameters were evaluated to evaluate the surface roughness of the ground surface.