B rolling bearing friction torque attractor and friction torque correlation dimension

B: rolling bearing friction torque attractor rolling bearing friction torque attractor of rolling bearing friction torque characteristics of physical space, as shown in figure 6 - 15. From figure 6 - Can be seen in the 15, rolling bearing friction torque of the attractor is monotone increasing trend, each set of bearing attractor trend is different, showing a diversity. With the original data of rolling bearing friction torque figure 6 - attractor 16, compared to the shape which is similar, but the scope of rolling bearing friction torque in the original data is big, obviously affected by discrete data, sound of data processing can reduce the effects of discrete data, reduce the sensitivity of the data. Compared with A rolling bearing in the attractor, the trend is the same, that the same type of bearing friction torque attractor trend, specific to each bearing is different. B rolling bearing friction torque correlation dimension: with chaos theory to calculate saturated embedded dimension and correlation dimension, and the results are shown in figure 6 - 17. Bearing friction torque time series InrInC ( r, m) Curve close to each other and with the increase of m concentrated distribution, when m> mo( Mo for saturated correlation dimension) , corresponding to the m rmo curve on the linear part of the slope is to estimate the correlation dimension D2, the calculation results such as table 6 - 9. Table 6 - 9 bearing friction torque chaotic evolution parameters in the phase space of bearing number project saturated embedding dimension m0, estimate the correlation dimension D2 1 16 1. 12 1 81464 2. 18 1 26364 3. 4 12 1 11323. 30966 5 10 to 1. 6 12 1 370481. 18 2, 27386. 8076 8 to 14. September 14 30322 1. 83327 10 18 1. According to 65927 1 ~ 10 sets of bearing friction torque in a table 4 - Correlation dimension table 6-16 and estimation 9, can be concluded that the relationship between them, as shown in figure 6 - 18. As you can see, from the physical space to phase space mapping nonlinear and non monotonicity is rolling bearing friction torque the inner running mechanism of time series.