Effects of the rotational speed on the dynamics of micro cutting tools

This paper investigates the rotational dynamics of the micro cutting tools using a spectral modeling approach. To accurately model the dynamics of micro cutting tools, a three-dimensional (3D) solution approach is needed since the fluted section of the cutting tool presents 3D coupled motions especially at high rotational speeds and for high aspect ratio tools. In this technique, the integral boundary value problem derived using Hamilton’s principle is solved using a spectral method where Tchebychev polynomials are used as basis functions. The calculated natural frequencies are compared to those found using a finite element solution approach.