Application of an Optimized Grey System Model on 5-Axis CNC Machine Tool Thermal Error Modeling

A new optimized grey system model is presented to solve the modeling problems of 5-Axis CNC machine tool thermal error such as how to cope with the multiple influence factors, complicated develop trend. This model uses the Genetic Algorithm to optimized the new grey system model´s dimensions of modeling message and the added coefficient of model´s background value generating, and this method can improve the predict precision, and make the prediction of 5-Axis CNC machine tool´s thermal error fit to the real conditions much more closer. Apply this model on a 5-Axies CNC machine tool made by SMTCL to predict its thermal error, the result shows that the effect of this new model is much better than other modeling methods.