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Abstract
In the previous three decades, technologies involved in machine tools and machiningoperations have experienced remarkable changes. Despite these advances, unstablecutting conditions, referred to as chatter, remains an obstacle to high material removalrates.Chatter has been a limiting factor for high productivity and part quality. Thewell-known stability lobe diagram, which relates the spindle speed and axial depth ofcut to machining stability may be used to select stable operating parameters.This thesis compares two frequency-domain stability analyses, i.e., the averagetooth angle approach and the Fourier series approach, with time-domain simulationof milling. The simulations were performed for different cases of both up milling anddown milling at different radial immersions from low (5%) to slotting (100%).In order to enable a direct comparison of the time-domain simulation to the analyticalstability limits without user interpretation, a new stability metric is definedin the simulation to automatically identify the stability at a particular spindle speedand axial depth of cut.