A shear zone model with parallel boundaries is used to formulate a cutting force model and analyze the dynamic behavior of the machining process in orthogonal cutting. The cutting system was modeled using a single degree-of freedom dynamic system where the variations of the cutting forces are represented by their total differentials. The model is derived based on the principles of the cutting mechanics, and takes into account the variations of the shear stress in the primary deformation zone as well as at the chip-tool interface (secondary deformation zone).

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