Nonlinear dynamics of a machining system with two interdependent delays. (English) Zbl 1135.74316

Summary: The dynamics of turning by a tool head with two rows, each containing several cutters, is considered. A mathematical model of a process with two interdependent delays with the possibility of cutting discontinuity is analyzed. The domains of dynamic instability are derived, and the influence of technological parameters on system response is presented. The numerical analysis shows that there exist specific conditions for given regimes in which one row of cutters produces an intermittent chip form while the other row produces continuous chips. It is demonstrated that the contribution of parametric excitation by shape roughness of an imperfect (unmachined) cylindrical workpiece surface is not substantial due to the special filtering properties of cutters that are uniformly distributed circumferentially along the tool head.


74H55 Stability of dynamical problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
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