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In this talk, I will focus on some simple models for regenerative chatter.
In this talk, I will focus on some simple models for regenerative chatter. The governing mathematical equations are nonlinear delay differential equations. These dynamic models require a relationship between the cutting force and the operating parameters especially the chip thickness. An empirical power law model has been used for the purpose. Hopf bifurcation associated with the simplest single degree of freedom model are subcritical in nature and there are no bounded solutions past the instability. Bounded solutions are obtained by incorporating the loss-of-contact nonlinearity wherein the tool looses contact with the workpiece. Finally, a two degree of freedom model is considered giving rise to a state-dependent delay model. The bifurcation in this model could be super- or sub-critical depending on the choice of operating parameters. Hence, there is a possibility of obtaining bounded solutions without incorporating loss-of-contact. Some numerical and analytical results would be presented for the same towards the end of the talk.
- Speaker
- Dr Pankaj Wahi (Indian Institute of Technology - Kanpur, India)
- Venue
- G011