Description:
AbstractHSC (High Speed Cutting) milling is one of the most common production processes in tool‐making and mold‐making industries. One aim of current investigations is a better understanding of the dynamics of a tool shank with high slenderness. Often the revolution speed is higher than the lowest eigenfrequencies of the tool shank, so that resonance can appear during run‐up or run‐out.The focus will be placed on the influence of an unbalance. Starting with the geometrical nonlinear kinematics for the strains, the Hamilton's principle is evaluated to obtain the variational formulation of the tool shank. The unbalance is implemented with a stochastic WEDIG‐DIMENTBERG model. In the following‐up RITZ approach is used for discretization and the eigenfrequencies are computed. Afterwards the results are discussed for certain examples.