DDA法抛物线插补运算研究

Research on Parabolic Interpolation Operation of DDA Method

数控机床中刀具对工件轮廓的插补运算是数控机床的核心内容,插补运算方法的优劣直接影响机床的加工精度。就目前数控机床的发展情况来看,插补运算的种类繁多,且具有不同的优缺点。对于高精度的数控机床,选取好的插补运算方法是实现多坐标轴联动对复杂曲线(如抛物线)快速插补、提高生产效率的关键。针对以上问题,提出了一种插补运算方法——DDA法。利用该法对复杂曲线即抛物线加工的函数进行运算分析及插补结构框图的构建,推出抛物线不同开口方向、不同插补路线的坐标修正方案,给出各坐标轴插补进给方向,并通过实例分析验证该方法的可行性,为抛物线加工的进一步研究及应用提供理论依据。

The interpolation operation of cutter for workpiece contour is the core content of CNC machine tools. The quality of interpolation operation directly affects the machining accuracy of machine tools. As far as the current development of CNC machine tools is concerned, there are many kinds of interpolation operations and the advantages and disadvantages of various algorithms are also uneven. For high precision CNC machine tools, selecting a good interpolation operation method is the key to achieve multi axis linkage, fast interpolation of complex curves, such as parabolas, and improve production ef ficiency. In this paper, an interpolation operation method of DDA is proposed for the above problems. The construction of complex curve is parabola function processing operation analysis and interpolation structure diagram by using this method. The coordinate correction scheme introduces different direction and different opening parabola interpolation line, the axis in terpolation feed direction. Through the example analysis, the feasibility of the method is verified, providing a theoretical ba sis for further research and application of parabolic machining.