Dynamic Modeling of Machine Tool Thermal Error Based on the State-Space Model

Abstract

Abstract:

A thermal error modeling method based on the state-space model was proposed, taking the temperature changes of the key heat sources as the input. Its output—thermal error of the machine tool, was jointly determined by the input, state variables and disturbances. Besides, a subspace identification algorithm was used to obtain the parameters of the model. To investigate its accuracy and robustness, experiments were conducted on a computer numerical control (CNC) machine tool. The result shows that the statespace model can compensate 70% of the thermal error regardless of the spindle speed conditions, and demonstrates its superiority in robustness in comparison with the modeling results of an auto- regressive model.

state-space model; computer numerical control (CNC) machine tool; thermal error; robustness

Key words:

state-space model, computer numerical control (CNC) machine tool, thermal error, robustness

CLC Number:

TH 161

XIAO Huixiao,YANG Jianguo,ZHANG Yi. Dynamic Modeling of Machine Tool Thermal Error Based on the State-Space Model[J]. Journal of Shanghai Jiaotong University, 2014, 48(1): 22-26.

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