In the previous studies about grinding simulation, most of the abrasive grain models are simple geometries. The shape and size of the abrasive grain are varied, which will lead to the difference between the simulation and the reality. To make the virtual abrasive grains closer to reality, a stochastic polyhedral abrasive particle modeling method based on the ellipsoid tangent plane is proposed. Based on the ellipsoid model, the vertex coordinate equations of abrasive grain are derived. The 3D normal distribution is used to generate uniform random tangent points on the ellipsoid. The shape characteristics of normal virtual abrasive grains were analyzed, and the abnormal abrasive grains were corrected. The diameter of the minimum enclosed ball is used to calculate the equivalent diameter of the abrasive grain. According to the normal distribution, the abrasive grain sizes are scaled to the actual sizes. The coordinate transformation makes the abrasive grains more diverse. Finally, the influence of each input parameter on the virtual abrasive grain shapes is analyzed. And the shape distribution of actual and virtual abrasive grains is compared. The results show that the abrasive grain shape distribution can be effectively controlled through different generation strategies, and the model can simulate the actual abrasive grains effectively through the specific input strategy.

在先前有关磨削模拟的研究中，大多数磨粒模型都是简单的几何形状。磨粒的形状和大小各不相同，这将导致模拟与实际之间的差异。为了使虚拟磨粒更接近实际，提出了一种基于椭球切平面的随机多面体磨粒建模方法。基于椭球模型，推导了磨粒的顶点坐标方程。3D正态分布用于在椭球上生成均匀的随机切点。分析了正常的虚拟磨粒的形状特征，并对异常的磨粒进行了校正。最小封闭球的直径用于计算磨粒的等效直径。根据正态分布，磨料颗粒尺寸按实际尺寸缩放。坐标变换使磨料颗粒更加多样化。最后，分析了每个输入参数对虚拟磨粒形状的影响。并比较了实际和虚拟磨粒的形状分布。结果表明，通过不同的生成策略可以有效地控制磨粒的形状分布，并且该模型可以通过特定的输入策略有效地模拟实际的磨粒。