摘要
采用高速精密数控机床定位精度实验数据建立定位误差线性模型,再根据灰色模型和柯西问题公式建立定位误差非线性数学模型,用模糊综合评判法对两种模型进行二次评判,得出最优的预测模型,并用选取的定位误差补偿模型对机床定位误差进行补偿。补偿后,定位误差的0.95的置信区间上下限小于3μm,结果满足机床的设计使用要求。
With the experimental data of positioning precision of high-speed precision CNC machine tool,a linear mathematical model of positioning error was established.Based on gray model and Cauchy problem formula,a nonlinear mathematical model was also established.The two models were evaluated by fuzzy comprehensive evaluation method to find the optimal prediction model.Compensated with a selected positioning error compensation model,the bound of the confidence interval 0.95 of positioning error is less than 3μm.The results meet the design requirements of the machine tool.
作者
程军涛
刘康华
李雪晓
聂少武
CHENG Juntao;LIU Kanghua;LI Xuexiao;NIE Shaowu(Luoyang Center for Quality Metrology and Testing,Luoyang Henan 471000,China;Cama(Luoyang)Electronics Co.,Ltd.,Luoyang Henan 471000,China;Anyang Xinsheng Machine Tool Co.,Ltd.,Anyang Henan 455000,China;School of Mechatronics Engineering,Henan University of Science and Technology,Luoyang Henan 471003,China)
出处
《机床与液压》
北大核心
2021年第13期85-88,共4页
Machine Tool & Hydraulics
关键词
非线性数学模型
模糊综合评判
柯西问题
置信区间
Nonlinear mathematical model
Fuzzy comprehensive evaluation method
Cauchy problem
Confidence interval
