时序分析在电主轴热误差建模中的应用

发布时间：2018-03-20 20:44

本文选题：电主轴　切入点：时序分析　出处：《计算机集成制造系统》2015年05期 　论文类型：期刊论文

【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。
[Abstract]:Aiming at the problem of neglecting radial thermal inclination error in measuring and modeling the thermal error of electric spindle based on three-point method, a five-point method is used to measure the thermal error of spindle. A hybrid model of thermal error autoregressive moving average based on time series analysis (ARIMA) is established. The stability of thermal error series is judged by using the unit root test algorithm and the autocorrelation / partial autocorrelation function is used to complete the efficient identification of the model. The information criterion is used to solve the problem of determining the order of the thermal error model, and the autoregressive parameter and the moving average parameter are solved by combining the Yule-Walker equation, thus the prediction accuracy and generalization ability of the model are improved. The thermal error model of the motorized spindle contains axial elongation and radial thermal dip angle, which is more in line with the reality. The model can more accurately describe the spatial position and pose state of the spindle thermal error. The effectiveness of the proposed measurement and modeling method is verified by an application example of the thermal error modeling of the motorized spindle.
【作者单位】：西安交通大学机械制造系统工程国家重点实验室;
【基金】：国家863计划资助项目(2012AA040701)~~
【分类号】：TG659

【共引文献】