A rolling bearing friction torque dynamic analysis

A rolling bearing friction torque dynamic analysis, dynamic analysis of rolling bearing friction torque is A, B two bearing as the research object, the data is based on the steady rolling bearing friction torque in chapter 4 of the data. 1. A rolling bearing friction torque time delay using mutual information method to calculate A time delay of rolling bearing friction torque, the results are shown in figure 6 - Eight diagrams curves tend to be stable when the abscissa corresponding numerical is the best time delay. According to A rolling bearing friction torque figure 6 - time delay 8, it can be seen rolling bearing friction torque curve of time delay are similar in shape, into a smooth when time delay is less than 10, for different bearings have a certain distinction, time delay of rolling bearing friction torque are shown in table 6 - 3. 2. A rolling bearing embedding dimension meter with Cao method of rolling bearing friction torque to one dimension, the result is shown in figure 6 - 9. Graph, the curve of E and B, each other close to the point of abscissa for embedded dimension. From figure 6 - Rolling bearing friction torque of nine to one dimension, you can see that the rolling bearing friction torque similar to one dimension curve, with the increase of one dimension, E and E2 curve approaching, different bearing friction torque of one dimension, specific see table 6 - 4. 3. A rolling bearing maximum Lyapunov index food according to rolling bearing friction torque, time delay and embedded dimension Iypmo index was calculated by the LagsL method. The results are shown in figure 6 - 10. From table 6 - 5 bearing friction torque Lyapunov index can be seen, Lyapunov index is a very positive number is close to zero. 4. Of the rolling bearing friction torque of A rolling bearing is attractor is rolling bearing friction torque characteristics of physical space, its attractor is shown in figure 6 - 11. From figure 6 - 11 you can see, the general characteristics of rolling bearing friction torque attractor is monotone increasing, there exist certain differences between individuals. Robust to illustrate the data processing results, the rolling bearing friction torque figure 6 - the original data of the attractor 12 were compared and found that the shape which is similar, but the original data of rolling bearing friction torque attractor figure regularity is clearly made steady attractor processed data, robust description data processing preserves the data characteristics, reduce the influence of the discrete data. 5. A correlative dimension of rolling bearing friction torque of rolling bearing friction torque LNR - time sequence lnC( r、m) Curve reflects the friction torque of space dimension, spatial correlation dimension of the similar judgment method are two m line, the two m line part of the slope is correlation dimension D2, LNR - lnC( r、m) Curve as shown in figure 6 - 13. LNR - bearing friction torque time sequence lnC( 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 curve on the linear part of the slope when m = mo is to estimate the correlation dimension D2, the calculation results are shown in table 6 - 6. According to the 1 ~ 10 sets of bearing friction torque in a table 4 - 6-14 and estimate the correlation log tables 6, can be concluded that the relationship between them, as shown in figure 6 - 14. 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.