Abstract

A nonlinear model of wave cutting is presented. Orthogonal cutting conditions are assumed. Effects of the cutting velocity on the mean friction coefficient are accounted for. An approximate analytical solution of the nonlinear problem is obtained. It is shown that for some supercritical conditions, corresponding to linear instability, the amplitude of vibrations saturates and decreases in the nonlinear analysis. A study of the influence of different parameters (friction, ploughing force, cutting velocity, etc.) on the linear and nonlinear stability results is developed.

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