Self-interrupted regenerative turning

Wahi, P and Stepan, G and Chatterjee, Anindya (2007) Self-interrupted regenerative turning. In: IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty, SEP 18-22, 2006, NETHERLANDS.

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Abstract

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.

Item Type:	Conference Paper
Additional Information:	Copyright of this article belongs to Springer Netherlands.
Keywords:	Regenerative turning, multiple regenerative effect, global bifurcation.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	07 Jun 2010 11:18
Last Modified:	19 Sep 2010 05:59
URI:	http://eprints.iisc.ernet.in/id/eprint/27070

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