Abstract
The feed system of machine tool has complex nonlinear dynamic behaviors in the process of machining, which will affect the machining accuracy of parts. The two-degrees-of-freedom dynamical model of the feed system with clearance and friction is established, where the torsion and load disturbance are considered. By using the averaging method, the approximate analytical solution of the feed system of the machine tool is solved. The approximate analytical solutions are verified by the numerical solutions, when the worktable moves at a constant speed or the worktable is at the working point. And the approximate analytical solutions are in good agreement with the numerical solutions. According to the Lyapunov stability analysis, the stability of the steady-state solutions of system is judged by the maximum real part of the eigenvalues. The analysis results show that, the amplitude of the amplitude-frequency response of system decreases when the friction force increases. As the clearance increases, the resonance frequency decreases gradually. When the lead of the ball screw increases, the resonance peak and resonance frequency increase gradually. The numerical simulation analysis of the system shows that when the worktable is at the working point, the angle displacement of the lead screw chatters while it reaches the maximum or minimum value of the vibration angle displacement.
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