Abstract:Aimed at the problem of chatter prediction modeling of variable helix cutters，a new stability analysis method of variable helix cutters is proposed.The dynamic cutting force model of variable helix cutters is established，and the periodic differential equation of the milling system with distributed regeneration delay is constructed.The system equation is transformed into multidelay differential equation by time delay approximation in cutting depth direction.Based on the fulldiscretization method，the discrete mapping form of the equation is obtained，and the stability region of the system is determined.An algorithm for solving the prediction model is proposed.Compared with the previous methods，the correctness of the proposed method is verified.The method analysis shows that this method has certain advantages in application scope and calculation efficiency.