Periodic cutting motions in a vibration-assisted, regenerative, nonlinear Orthogonal turning system
Tóm tắt
In this paper, a mathematical model of 2-degrees-of-freedom (2-DOF), vibration-assisted, regenerative, nonlinear orthogonal turning system is developed. The period-1 motions of such a system are predicted through the discrete mapping method. The discrete mapping is constructed by discretization of equations of motion of the machine-tool system. The periodic motions of such a machine tool system are determined through the mapping structures, and the stability and bifurcation conditions of the period-1 motions are determined by eigenvalue analysis. The variation of period-1 motions with respect to active excitation from a servo unit is presented from the bifurcation diagram of periodic nodes. Numerical simulations are carried out for small-amplitude and large-amplitude machine-tool vibration. The machine tool chatter occurs once the horizontal and vertical displacement of the machine-tool are out-of-phase. Such a relation could be used for the chatter detection of vibration-assisted machining.
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