The instability caused by vibration during high-speed cutting has seriously affected the quality of workpieces.Therefore,cutting vibration has become an important subject in metal cutting.According to the vibration displacement problem in plunge milling titanium alloy,based on the theory of damping system,we adopt the fourth-order Runge-Kutta method to study the time domain model of elastic damping system with three dimension of freedom,and using Matlab numerical simulation to obtain the curve of displaceme...