6. +
t L K
m c a
=
+
=
L K
c a
V f
t V f a
k
V f
t
T
t
Q
c
ct
x
p
n y
ad c
c
ad
m
T T T
.
.
.
. . .
.
.
1
.
1
(8)
Based on the results - Table 1 are constructed graph – Fig.1,a,b,c, interpreting models of
production rate in a coordinate system lgQ-lgVc-lgf in different types of workpieces.
5. TECHNICAL REQUIREMENTS
The design of the formed surfaces on the plane lgVc-lgf presents family izolines expressing
the production cost and production rate. The decision of the optimization problem is reduced to
finding the intersections of the area bounded by the input technical requirements and contours of cost
and rate - Figure 2,a,b,c. Conduct adequate optimization requires introduction of four technological
constraints that in high-speed milling are expressed in [1,3]:
5.1 Lower bounds of feed
1 min max( min , min ) 1 min 30 f ³ f = f f
f ³ f = m M T m mm/min (9)
where:
- fM min = 0 – lowers kinematic bounds of feed for machining centers,
- f min = 30mm/min – lowers technological bounds of minute feed for high-speed milling
with single flute mill cutters.
5.2 Min permissible economical cutting speed [1, 3, 12, 17]
T
T
n
y
C
T m
cQ
C n f
V
1/
2
1
( 1).
−
5.3 Upper bounds of feed [1, 3, 12, 17], the maximum values of the main cutting force Fc[N]:
F
. .
F V D
F F
F F y
T Fc
x u
p
n z
c c
m
a B z n K
f
1
max
2
. . . .
where:
- Fcmax = c1.hmax [N] – maximum values of the main cutting force Fc[N],
- c1 [N/mm2]– specific cutting force [7,8,9,13],
- hmax [mm] – maximum thickness of cut [13],
- = 1 – correction factor, wherein the influence of cutting depth, at ap = const, is assumed
to be one,
- D = 8 mm – tool diameter,
- zF=xF=uF = nF =1 – exponents,
13. - $,
„
”,
, 2003,
[14] Tejinder P.S., Jagtar S., Jatinder M., Gurmeet K., Effects ot cutting tool parameters on
surface roughiness, International Journal of Mechanical Engineering and Technology
(IJMET), IS SN 0973 - 6340(Print), ISSN 0976 - 6359(Online) Volume 1, Number 1,
July - Aug (2010), pp. 182-189.
[15] Prabhat K.S., R. Pandey, V. Kumar, Analysis and modeling of single point cutting
(HSS material) tool with help of ansys for optimization of (transient) vibration
parameters, International Journal of Mechanical Engineering and Technology (IJMET),
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pp. 14-27.
[16] Ganesan.H and Mohankumar.G, Study on Optimization of Machining Parameters in Turning
Process using Evolutionary Algorithm with Experimental Verification, International Journal
of Mechanical Engineering Technology (IJMET), Volume 2, Issue 1, 2011, pp. 10 - 21,
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15. .,,.2.C.,
(, 1989.
[18] S. S. Acharya, R. L. Karwande, Investigation and optimization of turning process parameter
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