时序分析在电主轴热误差建模中的应用

被引:8
作者
杨军
梅雪松
冯斌
马驰
赵亮
机构
[1] 西安交通大学机械制造系统工程国家重点实验室
关键词
电主轴; 时序分析; 五点法测量; 热误差建模;
D O I
10.13196/j.cims.2015.05.025
中图分类号
TG659 [程序控制机床、数控机床及其加工];
学科分类号
080202 ;
摘要
针对电主轴热误差基于三点法测量和建模中忽略径向热倾角误差的问题,采用五点法对主轴热误差进行测量,建立基于时序分析的热误差自回归滑动平均混合模型ARIMA。通过引用单位根检验算法实现对热误差序列的平稳性判定,运用自相关/偏自相关函数完成模型的高效识别;利用信息准则解决热误差模型的定阶问题,结合Yule-Walker方程实现自回归参数以及滑动平均参数的求解,从而提高了模型的预测精度及泛化能力,设定了模型的预测优度评价标准。电主轴热误差模型蕴含轴向伸长及径向热倾角,更符合实际,模型可更准确地描述主轴热误差空间位姿状态。通过电主轴热误差建模的应用实例,验证了所提测量及建模方法的有效性。
引用
收藏
页码:1359 / 1367
页数:9
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