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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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|
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