An Analytical Model of Cutting Dynamics. Part 2: Verification

Abstract

The dynamic force model developed in the preceding paper [1] is further examined. The analysis shows a successful prediction of the forms of stability boundary over a wide range of cutting speed. It reveals that the cutting force acting on tool rake face controls the high-speed stability, while the ploughing force acting on tool nose region dominates the low-speed stability. A series of cutting tests were carried out to examine the validity of the model. The result shows a fairly good agreement between the theoretical prediction of stability limit and the experimental determination of critical width of cut when the cutting conditions are properly chosen to avoid the presence of built-up-edge on tool tip.

Prospects for chaos control of machine tool chatter

“…Early two-dimensional modeling by Tlusty and Ismail [ 191 found that the tool can lose contact with the workpiece at large chatter amplitude, thus improving chatter stability for turning and milling. The nonlinear delayed differential equation (DDE) model of Wu and Liu [25] included fluctuations in the mean friction coefficient due to chip removal, and yielded results that are consistent with experimental chatter dynamics [26]. Berger et al [2] used the model of Ref.…”

Dynamics of a stainless steel turning process by statistical and recurrence analyses

“…The subsequent studies show the importance of regenerative effects [3][4][5][6], and structural dynamics [7][8][9]. Finally, the role of the dry friction and the stick-and-slip motion [10][11][12] was indicated and studied extensively. Recently, apart from the widely studied conditions of regular chatter vibrations, noise like chaotic oscillations caused by various system nonlinearities were predicted and detected [13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Dynamics of stainless steel turning: Analysis by flicker-noise spectroscopy

“…The following studies showed the importance of time-delayed regenerative effects [8,9,10,11] and structural dynamics [12,13,14]. It was later demonstrated that dry friction and stick-and-slip motion may be essential factors leading to chatter vibrations [15,16,17]. Recently, chaotic and intermittent oscillations caused by various system nonlinearities were theoretically predicted and experimentally detected [18,19,20,21,22,23,24,25,26,27,28].…”