An analytical model of dynamic cutting forces in chatter vibration

A semi-analytical model of non-linear vibrations in orthogonal cutting and experimental validation

“…This is due to the fact that m is a decreasing function of V via the friction law mZ m 0 ðV c Þ q . This tendency is qualitatively in agreement with the experimental results of Wu and Liu [24] and Kim and Lee [21].…”

“…Firstly, the stability results given by the model in terms of the cutting speed V and of the width of cut w, are discussed and compared qualitatively with the experimental trends available in the literature. Secondly, the chatter stability model is compared to the experimental results obtained by Kim and Lee [21]. The aim of this comparison is to show a case where the effect of the process damping, due to the ploughing mechanism, is not significant in comparison to the tool system damping.…”

“…To describe these effects, the dynamic process is considered as a series of steady-states processes. The same method was used by several authors, as Wu and Liu [8], Tarng et al [10] and Kim and Lee [21].…”

“…The phase angle depends on the tool-work system frequency and on spindle speed. For a given spindle speed, the excitation caused by the chip load variation brings energy to the tool-work system or extracts energy from the tool-work system, it depends on the phase angle value (for example, if the phase angle is equal to zero then the thrust force remain constant), see Kim and Lee [21], Liao and Young [30] and Altintas [31]. This leads to the classical stability diagram as reported in Fig.…”

“…The chatter stability model is now compared to the experimental results obtained by Kim and Lee [21]. The aim of this comparison is to show that, in some cases, the effect of the process damping, due to the ploughing mechanism, can be neglected with respect to the tool system damping.…”