高质量加工五次多项式速度规划算法研究  

Research on Speed Planning Algorithm of Fifth Degree Polynomial for High Quality Machining

作　　者：盖荣丽[1] 杜晓燕 GAI Rong-li;DU Xiao-yan(School of Information Engineering,Dalian University,Liaoning Dalian 116021,China)

机构地区：[1]大连大学信息工程学院,辽宁大连116021

出　　处：《机械设计与制造》2024年第6期58-63,共6页Machinery Design & Manufacture

基　　金：国家自然科学基金—复杂曲面高质量加工中的插补算法研究(61602074);省自然基金指导计划—复杂曲面轨迹规划算法研究(2019ZD0309)。

摘　　要：通过分析直线、指数、S曲线以及正弦函数几种常用的加减速算法,针对传统的速度规划算法存在的加工曲线不连续以及加工过程出现振荡、加工精度低等问题,提出适用于高质量加工的五次多项式速度规划算法,将整个加工过程分段,细化每一段的方程,并介绍对于待定的NURBS曲线使用五次多项式速度规划算法进行插补的过程,针对快速插补和实时插补两个阶段进行优化。结尾根据仿真加工实验图像得出结论,该算法实现了加工过程中运动曲线的连续变化、柔性变化。并将加工精度控制在理想范围之内,适应于高质量的加工。It analyzes several acceleration and deceleration algorithms commonly used in CNC machine tools.In view of the dis-continuity of the processing curve in the traditional speed planning algorithm,the oscillation in the processing process,and the low processing accuracy,etc.a fifth-order polynomial speed planning algorithm is proposed.First,it introduces the detailed deriva-tion process of the formula used in the algorithm,and then introduces the interpolation process the interpolation of the NURBS curve to be processed is divided into two stages:fast interpolation and real-time interpolation.Finally,the simulation figures shows the results and conclusions.This algorithm made the motion curve during processing are more continuous and flexible.And the processing efficiency has been significantly improved,which is suitable for high-quality processing.

关 键 词：五次多项式 插补算法 加工精度 加减速控制 连续速度 柔性加工 

分 类 号：TH16[机械工程—机械制造及自动化] TH273[自动化与计算机技术—计算机软件与理论] TP311[自动化与计算机技术—计算机科学与技术]