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Fractal analysis of acceleration signal considering damping  

Yoon, Moon-Chul (Dept. of mechanical and automotive eng. Pukyong national university)
Publication Information
Journal of the Korean Society of Manufacturing Process Engineers / v.12, no.5, 2013 , pp. 157-162 More about this Journal
Abstract
To analyze the dynamic acceleration characteristics, it is necessary to identify the acceleration model using some methods that can represent the dynamic properties well. In this sense, fractal methods were used for the verification of characteristics of an acceleration signal. To estimate and analyze the geometry of acceleration signal, a fractal interpolation and its analysis was introduced in this paper. The chaotic nature of acceleration signal was considered in fractal modeling. In this study the fractal signal modeling has brought a focus within the scope of the fractal interpolation and fractal dimension. And a new idea of fractal dimension has been introduced and discussed considering the damping ratio and amplitude for its dynamic properties of the signal. The fractal dimension of acceleration with respect to the scaling factor using fixed data points of 1000 points was calculated and discussed. The acceleration behaviors of this results show some different characteristics. And this fractal analysis can be applied to other signal analysis of several machining such as pendulum type grinding and milling which has many dynamic properties in the signal.
Keywords
Acceleration signal; Fractal dimension; Fractal interpolation; Scaling factor;
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