基于隐马尔科夫模型的非球面磨床误差建模与补偿分析  

Error Modeling and Compensation Analysis of Aspheric GrinderBased on Hidden Markov Model

作　　者：刘殊男 杨柳 LIU Shunan;YANG Liu(College of Intelligent Manufacturing,Changchun Sci-Tech University,Changchun Jilin 130600,China;College of Automotive Engineering,College of Humanities&InformationChangchun University of Technology,Changchun Jilin 130122,China)

机构地区：[1]长春科技学院智能制造学院,吉林长春130600 [2]长春工业大学人文信息学院汽车工程学院,吉林长春130122

出　　处：《机床与液压》2023年第18期74-77,共4页Machine Tool & Hydraulics

摘　　要：为解决非球面光学元件加工存在的环带波纹误差问题,阐释数控切线回转成形非球面加工的基本原理,解析速度插补原理的数学建模过程,针对速度插补中速度进给的时基性,提出基于隐马尔科夫模型构建速度前瞻预测模型的方案。以实际非球面加工样件建立隐马尔科夫补偿模型,实验结果表明:基于隐马尔科夫模型的速度前瞻补偿技术可以有效实现速度插补中速度补偿,补偿后速度误差残差降至0.9498,满足非球面数控磨床的加工精度需求。To solve the ring-shaped corrugation error problem existing in the machining of aspherical optical components,the basic principle of CNC tangential rotary forming aspherical machining was explained,the mathematical modeling process of the application of the velocity interpolation principle was analyzed.Due to the time-based nature of the feed,a scheme of constructing a for ward-looking prediction model for speed was proposed combining the hidden Markov model,and a hidden Markov compensation model was constructed based on the actual aspherical processing samples.The experimental results show that the speed forward-looking compensation technique based on hidden Markov model can effectively realize the speed compensation in the speed interpolation,the speed error residual can be reduced to 0.9498 after compensation,which meets the machining accuracy requirements of the aspheric CNC grinding machine.

关 键 词：非球面元件 环带波纹误差 切线回转 速度前瞻误差补偿技术 隐马尔科夫模型 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]