基于差分插补原理的圆柱插补模式研究

Research on Cylindrical Interpolation Model Based on Differential Interpolation

为了实现圆柱表面二次曲线的直接插补,通过对车铣复合加工中心的圆柱插补模式进行分析,提出将差分插补原理应用到圆柱插补模式中。为了得到圆柱表面插补与平面插补之间的关系,实现圆柱面二次曲线的差分插补,对圆柱面的展开进行了数学分析。通过引进圆柱插补模式缩放比例因子,实现了圆柱插补与平面插补的统一,提高了数控程序的编制与加工效率。经过分析二次曲线差分插补代码,定义了圆柱插补模式的命令格式,并进行了相关的实验验证。实验结果表明,基于差分插补原理的圆柱插补模式实现了圆柱表面二次曲线的直接插补,并且易于理解与编程。

In order to realize the direct interpolation of the conic of the cylindrical surface, the difference in-terpolation principle is applied to the cylindrical interpolation mode by analysing the cylindrical interpolation mode of turning-milling machines. The mathematical analysis of the cylindrical surface is carried out for ob-taining the relationship between the cylindrical surface interpolation and the plane interpolation in order to re-alize the interpolation of conic on the cylinder surface. By introducing the cylindrical interpolation mode scal-ing factor, the unification of cylindrical interpolation and plane interpolation is realized, and the efficiency of NC programming and machining is improved. After the analysis of the conic difference interpolation code, the command format about cylindrical interpolation modes are defined. At the same time, the relevant verifi-cation experiments are taken. The experimental results show that the cylindrical interpolation mode based on the differential interpolation principle can achieve the direct interpolation of the conic of the cylindrical sur-face, and it is easy to understand and program.