To meet the requirements in research and development on the grinding machine of large spherical workpieces whose diameters are as high as 2 meters, this paper established a mathematical model based on the machining principles. In order to make sure space trajectories would not coincide in multiple machining, regularity of distribution on the beginning and end points was researched and the basic relationship of process parameters was obtained. A series of analyses of parameter selection strategies on large spherical precision grinding were done to enhance the density and uniformity of distribution of space trajectories. An experiment based on different grinding parameters demonstrates that a group of appropriate parameter values have an obvious effect on the surface roughness.

针对2m级大型球面精密磨床的研究开发需要，根据球面磨削轨迹成形原理，推导了多磨头磨削的轨迹方程。为了保证多次加工中磨削形成的空间轨迹不相叠，通过考察轨迹始末位置点的分布规律，分析得到各磨削参数之间的基本关系，提出磨削效率、阻滞轨迹封闭相位角、最小加工次数等衡量指标，逐次修正选择策略，有效提高了迹线密度和分布均匀性。通过实验验证，该方法确实达到了降低工件表面粗糙度的要求。

大型球面磨削, 磨削轨迹密度, 表面粗糙度, 参数选择