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.
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Wahi, P., Stépán, G., Chatterjee, A. (2007). Self-Interrupted Regenerative Turning. In: Hu, H.Y., Kreuzer, E. (eds) Iutam Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty. IUTAM Book Series, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6332-9_36
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DOI: https://doi.org/10.1007/978-1-4020-6332-9_36
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6331-2
Online ISBN: 978-1-4020-6332-9
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