摘要
针对直线轴热定位误差同时与位置、温度相关,传统建模方法工作量大、效率低且变工况下预测精度较差等问题,本文提出一种直线轴热定位误差解耦与分步建模方法。首先,基于最小二乘线性拟合对多工况下测量的热定位误差解耦,获得仅与温度相关的斜率参数与截距参数;其次,分别使用绝对温度和相对温度作为输入变量对斜率参数和截距参数回归建模,得到二者与温度的映射关系,结合斜率与截距,建立热定位误差模型;最后,基于建立的模型对全新工况下的热定位误差进行了预测,可实现最大残差1.6μm,相比直接建模方法预测精度显著提升,表明了模型的有效性。
The thermal positioning error of linear axis is related to position and temperature at the same time, and the traditional modelling method has a heavy workload, low efficiency and poor prediction accuracy under variable condition. To address this issue, a decoupling and step-by-step modelling method for thermal positioning error of linear axis is proposed in this article. Firstly, the thermal positioning error measured is decoupled, and the slope parameters and intercept parameters only related to the temperature are obtained based on least square linear fitting. Secondly, the absolute temperature and relative temperature are used to build the slope parameter model and intercept parameter model step by step, and the mapping relationship is obtained. Combined with the slope and intercept, the thermal positioning error model is formulated. Finally, based on the established model, the thermal positioning error in a new working condition is predicted, and the maximum residual error can be realized as 1.6 μm. Compared with the direct modelling method, the prediction accuracy of the proposed method is improved greatly, which shows its effectiveness.
作者
徐凯
李国龙
李喆裕
王志远
苗恩铭
Xu Kai;Li Guolong;Li Zheyu;Wang Zhiyuan;Miao Enming(School of Mechanical Engineering,Chongqing University of Technology,Chongqing 400054,China;Stale Key Laboralory of Mechanical Transmision,Chongging University,Chongqing 400044,China)
出处
《仪器仪表学报》
EI
CAS
CSCD
北大核心
2022年第7期72-81,共10页
Chinese Journal of Scientific Instrument
基金
国家重点研发计划(2019YFB1703700)项目资助。
关键词
直线轴
热定位误差
斜率
截距
linear axis
thermal positioning error
slope
intercept
