Abstract
The purpose of this study is to analyze the nonlinear vibration phenomena of vibration cutting systems. Vibration cutting often suffers from problems caused by the nonlinear vibration phenomena; therefore it is necessary to analyze these phenomena by applying a nonlinear dynamic model. We propose a new vibration cutting model described by nonlinear differential equations, which is based on Grabec's cutting model. Numerical study of the model indicates that the model successfully replicates the characteristics of actual vibration cutting systems: the pulsating cutting force and the reduction of the amplitude of the vibration of work.
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