Likewise,the proposed analytical model utilizes the same constants
of the work piece material,cutting conditions,tool geometry and
dynamic parameters of machine tool system in Table1. Fig.5 shows
the SLD established using the proposed analytical model and one using
the semi-analytical model with the cutting conditions.It can be
observed that these two models have well in agreement with each
other at higher cutting velocities whereas shows bad inconformity at
lower ones.However,the semi-analytical model,even with inclusion
of plough effect,did not match with the results of the experiment [6]
and FEM simulation [11] at lower velocities.The explanation for this
phenomenon of higher stability at lower velocities is that the dynamic
cutting forces add partly to the process damping in Eq. (39) and cause
the increase of the chatter stability.Therefore,it is obvious that our
model, which reflects the trend at lower velocities,could provide a
more realistic prediction of chatter stability.
Likewise,the proposed analytical model utilizes the same constants
of the work piece material,cutting conditions,tool geometry and
dynamic parameters of machine tool system in Table1. Fig.5 shows
the SLD established using the proposed analytical model and one using
the semi-analytical model with the cutting conditions.It can be
observed that these two models have well in agreement with each
other at higher cutting velocities whereas shows bad inconformity at
lower ones.However,the semi-analytical model,even with inclusion
of plough effect,did not match with the results of the experiment [6]
and FEM simulation [11] at lower velocities.The explanation for this
phenomenon of higher stability at lower velocities is that the dynamic
cutting forces add partly to the process damping in Eq. (39) and cause
the increase of the chatter stability.Therefore,it is obvious that our
model, which reflects the trend at lower velocities,could provide a
more realistic prediction of chatter stability.
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