DDA圆弧插补算法改进研究  

Research on improvement of DDA circular interpolation algorithm

作　　者：游达章 谈太振 张业鹏 刘攀 YOU Dazhang;TAN Taizhen;ZHANG Yepeng;LIU Pan(Key Laboratory of Modern Manufacture Quality Engineering of Hubei Province,School of Mechanical Engineering,Hubei University of Technology,Wuhan 430068,China)

机构地区：[1]湖北工业大学机械工程学院湖北省现代制造质量工程重点实验室,湖北武汉430068

出　　处：《现代电子技术》2021年第3期87-90,共4页Modern Electronics Technique

基　　金：国家自然科学基金:基于时序溯源的嵌入式数控系统软件可靠性评估方法研究(51875180)。

摘　　要：插补计算是数控系统中最重要的计算工作之一,而数字积分法(DDA)是目前数控系统中最常用的插补算法。基于时间分割法的DDA圆弧插补在计算三角函数时采用近似计算,产生了径向误差积累。通过对误差产生原因的分析,提出了利用控制弓高误差,采用迭代矩阵计算,使用弦线拟合圆弧的方式改进圆弧插补算法。最后,基于最小二乘圆近似算法,设计一种精度快速评价插补算法的方法,利用该方法对传统DDA和改进DDA进行拟合效果评价,证明了改进DDA的有效性。Interpolation calculation is one of the most important calculations in numerical control system,and digital differential analyzer(DDA)is the most commonly used interpolation algorithm in numerical control system.In the DDA circular interpolation based on time division method,approximate calculation is adopted when calculating trigonometric functions,which results in radial error accumulation.On the basis of analyzing the causes of the errors,a mode that utilizes bow height error control,iterative matrix calculation and chord line fitting circular arc to improve the circular arc interpolation algorithm is proposed.Finally,on the basis of the least square circle approximation algorithm,a method of interpolation algorithm for precision rapid evaluation is designed.The effectiveness of the improved DDA has been verified by using the method to evaluate the fitting effect of the traditional DDA and the improved DDA.

关 键 词：算法改进 数控系统 插补计算 圆弧插补 离散点拟合 最小二乘圆 快速评价 

分 类 号：TN911.1-34[电子电信—通信与信息系统] TG659[电子电信—信息与通信工程]