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Simulation of a tool shank for HSC‐milling under the influence of an unbalance
Author(s) -
Schmidt Rico,
Ams Alfons
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000105
Subject(s) - discretization , nonlinear system , kinematics , focus (optics) , mechanical engineering , computer science , structural engineering , mathematics , engineering , mathematical analysis , physics , classical mechanics , quantum mechanics , optics
HSC (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.