This paper presents the effects of process damping on S-domain stability analysis of a turning tool. A pair of the valid equation for stability analysis of turning with process damping was modelled using Laplace transformation method. This paper introduced non-linear feed term in the existing process damping model leading to process damping force of the form Fpd(vτ)α. It is seen that in light of experiments of the related literature, the new proposal can only be valid for low values of α in the neighbourhood of 0.01. The stabilizing effect of process damping at low speed was also observed compared with simulations results. The agreement was observed in the sense that stability was much higher at low speed of 200rpm than at a speed of 4000rpm.

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