“…The dynamic cutting forces between the cutting tool and workpiece induce their dynamic displacements. According to the mass, damping, and stiffness of the cutting tool and workpiece system, the whole machining system can be described as the functions of the dynamic cutting forces in the X, Y, and Z directions, and shown as (1) where mat and maw (a = x,y,z) are the equivalent mass of the cutting tool and workpiece in the X, Y, and Z directions; cat and caw (a = x,y,z) are the equivalent damping of the cutting tool and workpiece in the X, Y, and Z directions; kat and kaw (a = x,y,z) are the equivalent stiffness of the cutting tool and workpiece in the X, Y, and Z directions; xt, yt, and zt are the dynamic displacements of the cutting tool in the X, Y, and Z directions, respectively; xw, yw, and zw are the dynamic displacements of the workpiece in the X, Y, and Z directions, respectively; and Fx, Fy, and Fz are the dynamic cutting forces in the X, Y, and Z directions. The Simulink (version 2012a) model of the dynamic cutting forces is shown in Figure 4.…”