不同形状磨粒随机分布磨料表面的三维建模仿真

3D-parametric Modeling and Programming of Abrasive Surface with Grains of Different Shape on Random Distribution

为了更准确地对不同形状磨粒的加工过程进行仿真,基于统计学的原理,利用打靶法模拟多颗不同形状(圆锥形、正四棱锥形、正三棱锥形以及半球形)的磨粒表面的随机分布,实现了通过设定不同的参数(粒度、出露高度、圆角半径、锥角),生成位置随机的三维磨料表面模型,并对结果做了相应的统计学验证,结果基本符合工程上的要求.模拟结果表明,磨粒尺寸的参数误差控制在1‰范围内,磨料地貌图中不存在磨粒重叠现象和空位现象,且磨粒分布相对较均匀.

In order to simulate the machining process of abrasives that have different shapes accurately, according to the principle of statistics, the models of the abrasive surface that have a large number of grains on different shapes （cone abrasive surface, right square pyramid abrasive surface, right triangle pyramid abrasive surface and half- spherical abrasive surface） are built, which are based on random distribution by using the shooting method. By setting different parameters （granularity, exposed height, radius and cone angle）, different abrasive surfaces are came into being. On account of that, the abrasive surfaces that have random shape and position are generated. The results show that the size parameters error of grains is controlled within 1‰, abrasive overlapping phenomenon and vacancy phenomenon do not exist in the abrasive surface, and the distribution of grains is relatively uniform.