Dynamic analysis of a cutting mechanism

In this paper, the dynamics of a cutting mechanism, which is a special type of the crank-shaper mechanism, is analyzed. The influence of the cutting force on the motion of the mechanism is considered. The critical value of the cutting force for which the regular rotating motion of the leading element is disturbed, is denoted. This force corresponds to the buckling force. The buckling force is the limit value for the full continuous rotation of the leading element of the cutting mechanism with the constant moment. The cutting mechanism with special values of parameters is also considered. For such a mechanism the stability conditions and the boundedness in the sense of Lagrange are determined. As a result, the limit value of the cutting force for which the motion is stable is obtained. This value is compared with the value of the dynamic buckling force. In this paper, we have determined the boundary values of the cutting force for which the cutting process is correct. These values are obtained analytically and numerically. Finally, the results are compared.