基于差分插补原理的平面三次多项式曲线插补  

Research on Interpolation of Planar Cubic Polynomial Curve Based on Differential Interpolation

作　　者：乔磊[1] 王宏甲[1] 杨召彬 赵庆志[1] 张林华 

机构地区：[1]山东理工大学机械工程学院,山东淄博255000 [2]山东新华医药器械股份有限公司,山东淄博255086

出　　处：《组合机床与自动化加工技术》2017年第7期97-100,共4页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：山东省自然科学基金资助项目(ZR2016EL13)

摘　　要：针对经济型数控系统中平面三次多项式曲线的插补,提出采用差分插补原理对其进行直接插补。该方法插补精度较高,插补误差不会超过1/2个脉冲当量。通过定义三次多项式曲线的ISO代码,以及对差分插补原理中相关概念的分析,得到了三次多项式曲线的差分插补代码,简化了加工程序的编制,降低了数控系统的译码负担。针对两种类型的三次多项式差分插补代码的计算,进行了详细的译码分析。结合VC++6.0开发了数控仿真程序,并在教学用三坐标数控实验台上进行了插补测试,验证了针对差分插补代码译码方法的正确性,实现了三次多项式曲线的直接插补。The principle of difference interpolation is used to directly interpolate the cubic polynomial curve in the economic CNC system. The interpolation accuracy is high, and the interpolation error will not exceed 1/2 pulse equivalent. The difference interpolation code for the cubic polynomial curve is obtained, by defi- ning the ISO code of the cubic polynomial curve and analyzing the related concepts in the differential inter- polation principle. It is helpful to reduce the burden of NC decoding for the simplification of the program. According to the two types of the cubic polynomial curves, their interpolation codes are analyzed and calcu- lated in detail. The numerical control simulation program was developed with VC＋＋ 6.0, and the interpola- tion test was carried out on the three coordinate CNC experiment platform. The correctness of the decoding method is verified, and the direct interpolation of the cubic polynomial curves is realized.

关 键 词：数控系统 差分插补原理 三次多项式曲线 ISO代码 

分 类 号：TH165[机械工程—机械制造及自动化] TG506[金属学及工艺—金属切削加工及机床]