Modeling, Simulation, and Analysis of Regenerative Chatter in Turning Using the β Domain Formulation

Abstract Turning is an important machining process where material is removed by rotating a workpiece against a moving cutting tool. Regenerative chatter is one of the major constraints that limits productivity of the turning process. It iS a self-excited vibration which is mainly caused by the coupling between the machine-tool/workpiece structure and the cutting process dynamics. The purpose of this paper is to present a systematic methodology to analyze interactions among the machining components and their effects on dynamic stability with improved efficiency and generality. The unique feature of this approach is its capability to simulate and analyze varying-time-delay problems efficiently.