BULETINUL INSTITUTULUI POLITEHNIC DIN IAŞI - Universitatea ...

80 Ana-Maria Matei and Marius-Nicolae Milea
Fig. 3 – Forces model in unsymmetrical cut-down face milling.
For all variants of unsymmetrical cut-down face milling, the cutting force
components FZ, FX, FY are given by the Eqs.(7) – (8).
a) zs = z / 4
1
z / 4
z / 4 2π
2π
FZ
= ∑ Fz
cos( zi
) + ∑ Fx
sin( zi)
,
z
z
(7)
F
X
=
1
z / 4
∑
z 2t
b) zs = arccos( 1−
)
2 2π
D
F
Z
=
z
1
s2
∑
0
2π
Fx
cos( zi)
−
z
Y
y
1
z / 4
∑
s
1
F = F ⋅ z .
2π
Fz
cos( zi
) +
z
z
1
s2
∑
0
2π
Fz
sin( zi)
,
z
2π
Fx
sin( zi
) ,
z
z
(8)
s
z
2
s2
2π
2π
FX
= ∑ Fx
cos( zi)
− ∑ Fz
sin( zi)
,
0 z
0 z
FY = Fy
⋅ zs
.
2
c) Similarly to cut-up milling, for the unsymmetrical cut-down milling
with t > D/2, we use the same method for determining the values of components
FZ , FX , FY . First, will be determined the values of cutting force components
corresponding to a number of teeth that simultaneously cut z , Eqs. (9).
s4