Independent component analysis based on machining error separation

For the unsuccessful separation of the multiple systematic errors with similar scales by current machining error separation method, a new method to separate the machining errors is proposed based on independent component analysis. An error transfer model is built to describe the relationship between the systematic error caused by individual error source and the final systematic error measured from the machining surface. Then according to the theory of blind signal separation, an optimization model is used for the machining error separation where the negative entropy of the estimated error is used as the optimization objective function, and the fixed point algorithm is used as the optimization method. A method to determine the number of machining error sources is also given by means of the principal component analysis. A study case of a certain gyroscope surface is tested to verify the efficiency of the error separation method. The proposed method provides a new way for separation of machining errors and tracing of error sources.