Vol. 9, Issue 7 (2020)

Author(s):
Savale Amit Siddhappa, Savale Bhushan Gajanan, PR Kolhe, Bhange HN and MH Tharkar

Abstract:
Chatter produced during machining process is a constraint to productivity and quality of the machining process and product. Stability lobe diagram is the common tools used to select the optimum combination of speed and depth of cut. Though the boundary between stable and unstable region can be predicted using stability diagram, the stable and unstable behavior cannot be explored with lobe diagrams. In this article milling process is studied for stability using bifurcation theory. This theory refers to the change in behaviour of the cutting tool system with respect to change in control parameter – axial depth of cut. Bifurcation diagram for milling process is constructed from the displacements obtained by numerical integration of force equations using time domain solutions. Stability is predicted based on the presence of diverging profiles of displacements. In addition Poincare maps are constructed through which phase space trajectory can be observed. These maps are subsequently used to study stability behavior including period n Bifurcations. Bifurcation diagram and their results are presented for various stable and unstable conditions of cut and compared with stability lobe diagrams.