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Radial Stiffness Vs. Air Pressure
P
s
[b
ar
]
S
r
[N/
m
]
2
1
.
5
2
.
5
4
.
544
3
7
.
031
3
.
5
9
.
134
4
10
.
956
P
s
[b
ar
]
-
S
p
i
n
dl
e a
i
r pressure.
4
.
5
12
.
563
S
r
[N/
µ
]
-
R
a
di
a
l
Stiff
ness.
5
14
CONDITIO
N
5
.
5
15
.
3
1. No Rotation.
6
16
.
487
6.5 17.579
Axial Stiffness Vs. Air Pressure
7
18
.
59
P
s
[b
ar
]
S
a
[N/
m
]
2
3
2
.
5
4
.
434
3
5
.
605
3
.
5
6
.
596
P
s
[b
ar
]
-
S
p
i
n
dl
e a
i
r pressure.
4
7
.
454
S
a
[N/
µ
]
-
A
x
i
a
l
Stiff
ness.
4
.
5
8
.
211
CONDITIO
N
5
8
.
888
1. No Rotation.
5
.
5
9
.
5
6 10.059 Radial Load
C
apacity Vs. Air Pressure
6
.
5
10
.
573
7
11
.
05
P
s
[b
ar
]
L
r
[N]
2
0
.
8
2
.
5
15
.
168
P
s
[b
ar
]
-
S
p
i
n
dl
e a
i
r pressure.
3
26
.
908
L
r
[N]
-
R
a
di
a
l
l
oa
d
capac
it
y.
3
.
5
36
.
834
2. Distance Form The End of The Spindle - 18mm
4
45
.
432
CONDITIO
N
4
.
5
53
.
016
1. No Rotation.
5
59
.
8
5
.
5
65
.
937
6 71.54 Axial Load
C
apacity Vs. Air Pressure
6
.
5
76
.
694
P
s
[b
ar
]
L
a
[N]
2
17
.
5
2
.
5
32
.
599
P
s
[b
ar
]
-
S
p
i
n
dl
e a
i
r pressure.
3
44
.
935
L
a
[N]
-
A
x
i
a
l
l
oa
d
capac
it
y.
3
.
5
55
.
366
4
64
.
401
CONDITIO
N
4
.
5
72
.
371
1. No Rotation.
5.5 85.949 No Load Deceleration
6
91
.
837
6
.
5
97
.
253
t
[
sec
]
Vs
p[
Kr
p
m
]
t
[
sec
]
-
D
ece
l
era
ti
on
ti
me.
0
62
.
7
V
sp
[K
rpm
]
-
S
pee
d
i
n
"t"
ti
me
2
51
.
78
4
42
.
76
CONDITIO
N
6
35
.
31
1. Ambient temperature 22°C.
8
29
.
16
2. Water cooling.
10
24
.
08
3. No external mechanical load.
12
19
.
88
4. Air pressure at entrance - 5 bar.
14 16.42
M
echanical Friction Losses
16
13
.
56
18
11
.
2
20
9
.
25
22
7
.
64
26
5
.
21
FL
[
w
]
-
F
r
i
c
ti
on
L
oss.
28
4
.
3
V
sp
[K
rpm
]
-
S
p
i
nn
i
ng
S
pee
d
.
30
3
.
55
Vs
p[
Kr
p
m
]
Fl
[
w
]
CONDITIO
N
0
0
1. No external mechanical load.
5
0
.
161
2. Ambient temperature 22°C.
3
.
Air
pressure
-
5
bar
.
10 0.647 14
Sr=[13.642*ln(Ps)-7.956] \ 2
Th
eoret
i
ca
l
curve
s
Sa=6.425*ln(Ps)-1.454
Th
eoret
i
ca
l
curve
s
Lr=[64.39*ln(Ps)-43.832] \ 2
Th
eoret
i
ca
l
curve
s
La=67.664*ln(Ps)-29.4
Th
eoret
i
ca
l
curve
s
Vsp =62.7*e
- 0.096*t
F
L
= 6.5*10
-3
*V
SP
2
0
10
20
30
40
50
60
70
0 4 8 121620242832
t [sec]
Vsp [Krpm]
0
5
10
15
20
25
30
35
0 10203040506070
Vsp [Krpm]
Fl [w]
0
5
10
15
012345678
Ps [bar]
Sa [N/
µ
]
0
4
8
12
16
20
012345678
Ps [bar]
Sr [N/
µ
]
0
15
30
45
60
75
90
01234567
Ps [bar]
Lr [N]
0
20
40
60
80
100
120
01234567
Ps [bar]
La [N]