Identification method of failure mechanism consistency by non-equidistance grey theory model

To deal with the problems of accelerated failure mechanism consistency identification in the methods based on data processing and experimental observation need the accelerated testing data and the method based on grey theory needs that the data of pre-test is equidistant as well as the prediction accuracy is not high, a new method of failure mechanism consistency identification based on non-equidistance grey theory model was proposed. The method combined the non-equidistance GM (1, 1) with equal dimension model by the non-equidistance pre-test data, got the residual, and found the change point of trend of data from pre-test. According to the contrast test, the method of fitting precision and prediction precision was higher, and the application scope of GM (1, 1) model in the failure mechanism consistency identification was enlarged. Finally, the effectiveness of the method was validated by a practical example on photoelectric encoder and accelerometer.