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. 2019 Apr 28;10(5):288. doi: 10.3390/mi10050288
A Amplitude of the mono-frequency vibration
E Yong’s modulus of the work material
F(x) Surface profile in one feed rate
H Hardness of the work material
Rtew(x) Surface profile in one feed rate with consideration of tool edge waviness
Rtew-wi(x) Active tool edge profile in one feed rate (without consideration of the tool edge waviness)
SP Average swelling ratio in the radial direction
SRi Local swelling ratio SPi at the ith radial section
e Correct coefficient considering the influence of strain gradient strengthening effect of work material
f Feed rate per revolution
f n Spindle rotation frequency in diamond turning
fz Vibration frequency in diamond turning
h Contact depth in the scratch test
h a Height component induced by the material side flow
h Dmin Minimum undeformed chip thickness
k Corresponding linear coefficient in relation to the contact behavior
p e Elastic recovery rate when ploughing/rubbing occurs.
r n Cutting edge radius of diamond tool
r z-n Ratio of the vibration frequency to the spindle rotation frequency
r ε Corner nose radius of diamond tool
s r Value of material spring back in the margin position (xf/2) in one feed rate
t Bm Time points when the diamond tool locates at the point Bm
t BM Time points when the diamond tool locates at the point BM
t c Chip thickness in diamond turning
t cmax Maximum undeformed chip thickness
t cmin Minimum undeformed chip thickness
t e Elastic deformation limit of the work material
w Roughness component in relation to the material plastic side flow
w r Value of material plastic side flow in the center (x = 0) in one feed rate
zv(t) Vibration function at the cutting time t
Δ Integer part of the frequency ratio
δtc Distribution model of material spring back
ε Decimal fraction part of the frequency ratio and in the range of -0.5 to 0.5
η Coefficient in relation to the material spring back
θ Angular coordinate for the point on the workpiece surface