Belt finishing is a superfinishing process that enables to reach fine surface roughness. This paper proposes a numerical model, predicting belt finishing roughness profiles of a 27MnCr5 carburized steel. It utilizes belt topographies that are then numerically deformed thanks to a specific morphological filter. A method for determining the morphological filter parameters is proposed and depends on the size of the grains. Then, the deformed topography of the belt virtually scratches the workpiece at a given depth of indentation (computed by a rough contact model). The model predicts surface roughness profiles in the steady state regime. The paper shows a reasonable agreement between experimental and numerical results. The model captures the main trends: the higher the grain size the higher the roughness of the workpiece. Computational time needed for this model is a few minutes, making it a useable solution for the industry.

皮带精加工是一种超精加工工艺，能够达到精细的表面粗糙度。本文提出了一个数值模型，用于预测 27MnCr5 渗碳钢的带精加工粗糙度轮廓。它利用带状地形，然后通过特定的形态过滤器对带状地形进行数值变形。提出了一种确定形态滤波器参数的方法，该方法取决于颗粒的尺寸。然后，传送带的变形形貌实际上会在给定的压痕深度（通过粗略接触模型计算）处刮擦工件。该模型预测稳态状态下的表面粗糙度轮廓。该论文显示了实验结果和数值结果之间的合理一致性。该模型捕捉了主要趋势：晶粒尺寸越大，工件的粗糙度越高。该模型所需的计算时间为几分钟，使其成为行业可用的解决方案。