基于主轴转速的机床热误差状态方程模型

A State Equation Model Based on Spindle Rotation Speed for Thermal Errors of Machine Tool

本文提出了一种基于主轴转速的机床热误差状态方程模型。该模型利用机床主轴转速而不是用机床温度场预报机床的热变形，因此极大简化了其应用。采用了连续系统状态空间模型辨识方法对状态空间模型进行辨识。实验结果表明状态空间模型可以满足要求，且优于直接利用最小二乘法对线性差分方程辨识所得的结果。

This paper presents a state space model based on spindle rotation speed for thermal errors of machine tool.The model uses spindle rotation speed,not temperature field,as the only input to predict the machine tool′s thermal errors.Therefore the application of the thermal error compensation technique is greatly simplified.To enhance the modelling accuracy,the model is identified in continuous time domain.The experiment result shows that the model is suitable for the purpose,and better than the linear difference equation model obtained by least square method.