Papers by Keyword: Fractal Box Dimension

Abstract: Combining the filtering performance of cascaded bistable stochastic resonance with measurement capability of fractal box dimension for non-linear characteristics of signals, a method of mechanical fault diagnosis based on cascaded bistable stochastic resonance and fractal box dimension was presented. The experiment results showed that this method removed high frequency noise efficiently and obtained precise fractal dimension. In order to implement mechanical fault diagnosis, the non-linear characteristics of mechanical vibration signals were measured by fractal dimension accurately.

Abstract: The surface morphology of film material directly affects its physical performance. It is of great significance for finding out its prospective physical performance to characterize the surface morphology of film material. It is hard to characterize them with some conventional methods. The surface morphology of film material was described from the fractal point of view, and the dimension was correlated with the resistivity of material. The [100]-orientated diamond film was primarily investigated. The results show that the greater the crystal grain is, the more uniform and regular the orientation is; and the more compact the arrangement is, the greater the fractal box dimension is. Moreover, when fractal box dimensions were within a certain range approximately from 2.92 to 2.97, it presents positively correlative relation with the logarithm of resistivity, Log(ρ), which resembles the Logistic curve. However, when the other dimensions are beyond the range mentioned above, resistivity doesn’t change with the increase in dimensions of fractal. This study will conduce to illustrating the relationship between the structure of crystal exemplified by arrangement and physical performance as well as material preparation.