When machining high-precision mechanical parts, dimensional accuracy and surface
quality are significantly affected by the relative dynamic vibrations between the tool tip and the
workpiece. This problem is of particular relevance in internal turning, since the final part of the tooling
system is a slender cantilever beam which strongly reduces machining system stiffness. Prediction of the
modal parameters characterizing machining system dynamics is a key issue for a proper selection of
tooling system configuration and cutting parameters. In this paper, Empirical Transfer Function Estimates
of tool tip dynamic compliance with different tooling system configurations are presented. An analytical
model describing the behavior of tool tip static compliance, natural frequency and damping coefficient of
the dominant mode of vibration is finally proposed and calibrated from experimental data.
