EXPLICIT IDENTIFICATION OF MACHINE TOOL STRUCTURE AND CUTTING PROCESS USING BIVARIATE TIME SERIES MODELS.

A bivariate time series ARMAV model is developed from the cutting torque and relative vibrations signals to represent a closed loop machining process system. Explicit expressions for the transfer functions of the machine tool structure and the cutting process are derived from the bivariate models. The time delay and feedback effects in the closed loop paths are identified as parts of the closed loop system.