关键词: 圆锥曲线, 极坐标, 数控车床, 统一方程, 宏程序

Abstract: When machining conic sections such as ellipses,hyperbolas,and parabolas on a CNC lathe,manual programming using basic instructions is not feasible,and macro programming is generally required. Currently,the development of macro programs for conic sections is mostly focused on analyzing a specific type of conic section,lacking a universal programming model for all three types. When the type of curve changes,it is necessary to re-model and re-program. Therefore,taking the HNC-21T CNC system as an example,a unified polar equation of conic sections is utilized to construct a general macro program template for the three types of conic sections. This template features a simple program structure,allowing for easy conversion among the three types of conic sections,thereby reducing the difficulty of macro program development for conic sections and improving programming efficiency.

Key words: conic sections, polar coordinates, NC lathe, unified equation, macro program