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在前人磨削理论基础上对砂轮结构做了更接近实际的随机性假设，应用计算机数字模拟技术对磨削全过程进行了模拟，获得了磨削过程和磨削表面的许多重要数据和结果。给出了砂轮表层的磨粒中参加切削的磨粒数目和切屑的长度、厚度和体积。在研究砂轮结构的基础上得出砂轮磨粒分布的随机性是磨削加工能产生表面低粗糙度值的重要因素。对砂轮磨料粒度及砂轮修整的定量研究表面，要获得超低粗糙度值磨削表面不仅需要选择较细磨粒，而且需要对砂轮进行精细修整。
Based on the previous grinding theory, the structure of grinding wheel is made closer to the actual randomness assumption. The whole process of grinding is simulated by computer numerical simulation technology, and many important data and results of grinding process and grinding surface are obtained . The number of abrasive particles participating in cutting and the length, thickness and volume of the chip in the abrasive grains of the grinding wheel surface are given. Based on the study of the wheel structure, it is concluded that the randomness of the distribution of the abrasive grains of the grinding wheel is an important factor for the low surface roughness value of the grinding process. On the quantitative analysis of the abrasive particle size of the grinding wheel and grinding wheel surface, to obtain ultra-low roughness grinding surface not only need to select the finer particles, and the need for fine grinding wheel dressing.