Abstract
Ball screw is a kind of precise transmission element in drive system of machine tool. In this paper, the degradation model of ball screw is proposed based on wear calculation-based degradation analysis and experimental data-based validation. At first, fatigue wear is analyzed to be the predominant degradation mode of ball screw. The wear volume formula of ball screw is derived as the function of working load and stroke number. Secondly, the degradation rate of ball screw is analyzed to be affected by the total degradation and wear rate. Based on this finding, the degradation model of ball screw is theoretically derived as an exponential model by inputting wear volume formula. Thirdly, experimental data-based cross-validation method is proposed to validate the exponential degradation model. Determination coefficients are calculated to evaluate the fitting degree between the degradation model and real degradation path. Next, run-to-failure test of ball screw is carried out to collect experimental data in different working conditions. The average determination coefficient of different working conditions is calculated as 0.7848, which indicates that the proposed model can well fit the actual degradation path. In addition, the proposed model is applied to predict remaining useful life (RUL) of the tested ball screw by using collected data. RUL is estimated in a high and stable accuracy after 168000 strokes. For further validation, comparison with linear model is performed. All results show that the exponential degradation model is reasonable and correct in reflecting the degradation process of ball screw.
Highlights
Ball screw is a kind of precise transmission component in drive system of machine tool to convert rotary motion to translational motion [1, 2]
The results show that the fitting between linear model and degradation path is worse than that of the proposed model, which means the proposed exponential model performs much better than the linear model in describing the real degradation process of ball screw
Determination coefficient was calculated as the index of the derived degradation model in describing the performance degradation process of ball screw
Summary
Ball screw is a kind of precise transmission component in drive system of machine tool to convert rotary motion to translational motion [1, 2]. The model-based method incorporates both expert knowledge and measured data, predicting the RUL of machinery with less data It has more advantages than the physical mechanism-based method and machine learning-based method for ball screw. It is necessary to study the degradation model and to predict the RUL of ball screw Aimed at these problems, wear calculation-based degradation analysis is combined with experimental data to study the degradation model of ball screw in this paper. Degradation analysis based on wear volume calculation is performed to derive the degradation model at first, and the derived model is further verified using degradation data collected in run-to-failure test.
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