目的 解决自由曲面磨抛面形收敛困难的问题，提高抛光小工具头的抛光效率。方法 提出一种偏置式固结磨料小工具头，基于固结磨料小工具头的结构特征参数，建立抛光小工具头的去除函数理论模型，并进行仿真分析，应用定点抛光法建立抛光小工具头去除函数实验模型，并验证抛光小工具头理论去除函数合理性，基于CCOS技术原理建立工件表面定量去除模型，通过虚拟加工实验探索偏置量对固结磨料小工具头抛光钛合金后的面形收敛效率的影响。结果 归一化理论去除函数曲线与实验曲线吻合度较高，定点抛光去除函数仿真模型能够很好地预测定点抛光斑的去除轮廓形状。抛光小工具头抛光钛合金的面形误差随偏置量增加，呈现先减小、后增大的趋势，无偏置的抛光小工具头抛光后，面形数据均方根(RMS)收敛效率为54.56%，波峰值与谷峰值之差(PV)的收敛效率为60.21%，当抛光小工具头偏置量为1.5 mm时，抛光后的RMS收敛效率达到最高，为73.83%，PV收敛效率为69.68%。结论 固结磨料小工具头去除函数理论模型可指导确定性材料去除，偏置量为1.5 mm时的抛光小工具头具有最强的修正误差能力，可以显著提高固结磨料小工具头抛光工艺的面形收敛效率。

The work aims to solve the problem of difficulty in convergence of free surface polishing and improve the polishing efficiency of the polishing tool head. An offset fixed abrasive small polishing headis proposed. The theoretical model of removal function of the polishing tool head is established and simulation analysis is completed based on the structural characteristic parameters of the polishing tool head. Removal function experimental model of the polishing tool head is established and the rationality of the theoretical removal function of the polishing tool head is verified by point polishing experiments. Deterministic material removal model of workpiece surface is established based on the CCOS principle and effect of offset on polished surface of fixed abrasive tool headsurface shape convergence efficiency is evaluated by virtual machining experiment. The results show that the normalization theory removal function curve is in good agreement with the experimental curve removal function simulation model of point polishing can predict the removal contour shape of the fixed-point polishing spot. The surface shape error of the polishing tool head first increases and then decreases with the increase of the offset. The RMS convergence efficiency after polishing with the no-offset polishing tool head is 54.56%, and the PV convergence efficiency is 60.21%. The surface shape convergence efficiency after polishing reaches the maximum value when the offset of polishing tool head equals 1.5 mm. The RMS convergence efficiency of the surface shape error is 73.83%, and the convergence efficiency is 69.68%. The theoretical model of removal function of fixed abrasive tool head can guide deterministic material removal. The offset polishing tool head with an offset of 1.5 mm has the strongest ability to correct errors and can significantly improve the surface shape convergence efficiency of the fixed abrasive polishing process.