Natural mode estimation of cutting dynamics with time series modelling

There are many algorithms of time series to get the natural mode of structural dynamics considering cutting process dynamics. In this study, several time series such as AR (burg, least square, yule walker, geometric lattice, instrument variable) algorithm, ARX (arx, iv4), ARMAX, auto regressive moving average (ARMA), Box Jenkins, output error, recursive arx and recursive armax were compared with one another. As a result, arx, armax and iv4 are proved very reliable algorithms for the calculation of the modal parameters such as natural frequency and damping ratio in endmilling operation. Also, rarx and rarmax can be used for the on-line modelling of time series.