Peripheral milling is extensively used in manufacturing industry. To achieve more material removal rate, high precision and surface quality and increase tool life, chatter vibration must be suppressed. In this paper, an extended dynamic model of the peripheral milling process including both the structural nonlinearity and nonlinear cutting forces is presented. Using the multiple-scale approach, as a perturbation technique, internal resonance of the milling process is investigated. Transfer of the energy between the coupled x-y modes is studied. According to results obtained, it is possible to adjust the rate at which the x-mode (or y-mode) decays by implementation of the internal resonance (arisen from the coupled dynamics of x-y modes with a cubic nonlinearity). Similar to the internal resonance case, it is shown that under regenerative chatter with specific machining conditions, one mode can decay. Therefore, under both internal resonance and regenerative chatter conditions, it is possible to suppress the undesirable vibration of the mode (direction) in which more accurate surface finish is required.

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