Pythagorean-Hodograph曲线插补及其G代码编程的实现

Pythagorean-hodograph Curves Interpolation and Associated G Codes Programming Implementation

对Pythagorean-Hodograph(PH)曲线与数控加工相关的优点进行了研究,给出了PH曲线的构造方法,分析了PH曲线插补技术和其G代码编程的必要性和可行性,在传统G代码编程的基础上,介绍了一种PH曲线插补G代码编程实现的方法,编写了两个PH曲线插补G代码程序,可以看出该G代码编程可以和直线或圆弧插补G代码混合使用,扩充了传统G代码的使用范围,和通常的直线或圆弧分段逼近插补相比,其在精确性、高效性、传输数据量、灵活性方面具有明显的优势,为开发具有PH样条插补功能的数控系统提供了参考。

The advantages of the Pythagorean-Hodograph（ PH） curve associated with CNC machining is dis-cussed, the construction method of PH curve is given. We analyze the PH curve interpolation technology and the necessity and fesibility of its G code programming. Based on the traditional G code programming, we introduce a method of PH curve interpolation G code programming, then write two PH curve interpolation G code programs for example, It can be seen that the proposed codes are compatible with＆#39;＆#39;ordinary＆#39;＆#39; G codes, and can be regarded as its extension. Compared to the customary approach of using piecewise-linear/circular approximations, The above technologies and methods offer significant improvement in the accuracy, efficiency, data volume, and flexibility of the part programming and machining for free-form shapes, and may provide a reference for the development of the CNC system with the function of PH curve interpolation.