A preliminary study of self-interrupted regenerative turning is performed in this paper. To facilitate the analysis, a new approach is proposed to model the regenerative effect in metal cutting. This model automatically incorporates the multiple-regenerative effects accompanying self-interrupted cutting. Some lower dimensional ODE approximations are obtained for this model using Galerkin projections. Using these ODE approximations, a bifurcation diagram of the regenerative turning process is obtained. It is found that the unstable branch resulting from the subcritical Hopf bifurcation meets the stable branch resulting from the self-interrupted dynamics in a turning point bifurcation. Using a rough analytical estimate of the turning point tool displacement, we can identify regions in the cutting parameter space where loss of stability leads to much greater amplitude self-interrupted motions than in some other regions. © 2007 Springer.
CITATION STYLE
Wahi, P., Stépán, G., & Chatterjee, A. (2007). Self-interrupted regenerative turning. In Solid Mechanics and its Applications (Vol. 2, pp. 353–362). Springer Verlag. https://doi.org/10.1007/978-1-4020-6332-9_36
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