中文摘要：

点磨削属于外圆磨削技术的一种,其砂轮与工件轴线之间存在变量夹角α,加工过程中磨粒的运动轨迹发生改变。为探索α对工件表面粗糙度的影响,利用砂轮与工件之间的运动关系及坐标转化,将磨粒运动函数等效为抛物线,得出点磨削的切削路径。基于砂轮表面磨粒分布状态,沿砂轮轴向扩展有效干涉痕迹,得到工件的三维几何仿真形貌。将45钢淬火后作为工件材料,选择典型磨削参数,利用试验对模型进行验证。结果表明：仿真与实际工件微观形貌呈现相似特征,两形貌表面高度概率密度分布十分吻合,在不同磨削速度下,两结果之间平均相差7.8%。当α在0°～4°变化时,Ra的浮动范围小于0.1μm,工件表面粗糙度不会发生明显改变,几何仿真模型为实际磨削工件形貌分析提供了一种辅助和验证方法。

英文摘要：

There is a swivel angle α between a grinding wheel and workpiece axes,which is named point grinding to be considered as a type of cylindrical grinding.The resulting grains path is changed because of α.To present its influence on workpiece surface roughness,the grains path is approximately described by a parabola using the kinematic relationship of the grinding wheel with the workpiece and coordinate transformation.Based on the hypothesis for the grinding wheel surface character,a geometrical workpiece micro-surface is generated through extending effective interaction trails.The workpiece of 45 harden steel is ground to test the proposed interaction model in typical grinding parameters.The simulation workpiece surface topologies display some similar features with the experimental results,and the distribution frequency of surface height is fitted with an average difference of 7.8% in cutting speeds tested.The surface roughness Ra tends to be approximately constant when the swivel angle changes from 0 to 4 degrees,and its waving range is less than 0.1 μm.This geometrical simulation method provides a supplementary and supervised method for analyzing the real topography.