Roundness Modeling Using Fractal Interpolation
There are many modelling methods using theoretical and experimental data. Recently, fractal interpolation methods have been widely used to estimate and analyse various data. Due to the chaotic nature of dynamic roundness profile data in roundness, some desirable method must be used for the analysis of data which is natural to sequential data. Fractal analysis used in this paper is within the scope of the fractal interpolation and fractal dimension. Also, two methods for computing the fractal dimension have been introduced, which can calculate the fractal dimension of typical dynamic roundness profile data according to the number of data points in which the fixed data are generally lower than 120 data points. This fractal analysis shows a possible prediction and analysis of roundness profile that has some different roundness profile in round shape operation such as cylindrical grinding, turning, drilling and boring.
Dongming Guo, Tsunemoto Kuriyagawa, Jun Wang and Jun’ichi Tamaki
M. C. Yoon and D. H. Chin, "Roundness Modeling Using Fractal Interpolation ", Key Engineering Materials, Vol. 329, pp. 521-526, 2007