灰色系统模型在机床热误差建模中的应用

Application of Grey System Model to Thermal Error Modeling on Machine Tools

提出了采用灰色系统模型进行机床热误差建模的基本原理及方法,以及其在机床热误差补偿建模中的应用。论述了如何利用实测的热误差序列,通过对全数据GM(1,1)模型、新信息GM(1,1)模型和新陈代谢GM(1,1)模型进行机床热误差建模和预报,得出了新陈代谢GM(1,1)模型是机床热误差补偿建模最理想模型的结论。

The basic principle and method of grey system model and its application in thermal error modeling on machine tools had been presented briefly. How to utilize the thermal error series surveyed for modeling and prediction was discussed in detail through all data GM（1,1）model, new information GM（1,1）model and metabolic GM（1,1）model. Finally, metabolic GM（1,1）model is proved most optimal model in thermal error modeling on machine tools among three GM（1,1）models.