Stabilization in a State-Dependent Model of Turning Processes

  title={Stabilization in a State-Dependent Model of Turning Processes},
  author={Qingwen Hu and Wieslaw Krawcewicz and Janos Turi},
  journal={SIAM J. Appl. Math.},
We consider a two-degree-of-freedom model for turning processes which involves a system of differential equations with state-dependent delay. Depending on process parameters (e.g., spindle speed, depth of cut) the cutting tool can exhibit unwanted vibrations, resulting in a nonsmooth surface of the workpiece. In this paper we propose a feedback law to stabilize the turning process for a large range of system parameters. The feedback law introduces a generic nonhyperbolic stationary point into… 

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