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7/23/2019 Torsional Oscillation
http://slidepdf.com/reader/full/torsional-oscillation 1/4
Diameter Height/ thickness
chuck 57.3 74.5 0.0001921124 1.4984767218 0.0006149917
White Disc 160.3 30.3 0.0006115044 4.7697339717 0.0153204392
Red Ring
Outer 160.3 30.5 0.0006155407 4.8012173642 0.0154215642
nner 99.32 30.5 0.0002362997 1.8431375421 0.0022726951
t!ta" 0.0290#4
d1 d2 d3 $%erage
d stee" 4.9 4.9 4.9 4.9
& '1 '2 'a%e ' (tee"
60 7.2# 7.21 7.245 0.36225 0.1312250625
65 7.6# 7.61 7.645 0.3#225 0.1461150625
70 #.01 7.9# 7.995 0.39975 0.159#000625
75 #.33 #.2# #.305 0.41525 0.1724325625
#0 #.71 #.6 #.655 0.43275 0.1#72725625
) stee" 5.66*+011
("!,e 0.002#
- (tee" 7.2*010
d1 d2 d3 $%erage
d a"uminium 4.96 5 5 4.9#66666667
& '1 '2 'a%e ' $"uminuim
40 10.13 10.06 10.095 0.50475 0.2547725625
45 10.93 10.75 10.#4 0.542 0.293764
50 11.26 11.43 11.345 0.56725 0.3217725625
55 11.6# 11.75 11.715 0.5#575 0.3431030625
60 12.21 12.36 12.2#5 0.61425 0.3773030625
) stee" 6.07*+011
("!,e 0.0059
- $"uminium 3.2*010
M = ρVV =π
4 D
2t I =
1
2 MR
2
7/23/2019 Torsional Oscillation
http://slidepdf.com/reader/full/torsional-oscillation 2/4
55 60 65 70 75 80 85
0
.02
.04
.06
.08
0.1
.12
.14
.16
.18
0.2
f(x) = 0.00276825x - 0.0344084375
Chart Title
Steel
35 40 45 50 55 60 65
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
f(x) = 0.0058880013x + 0.0237429875
Chart Title
Aluminuim
7/23/2019 Torsional Oscillation
http://slidepdf.com/reader/full/torsional-oscillation 3/4
Diameter Height/ thickness
chuck 57.3 73.1 0.0001##5022 1.4703174277 0.000603434#
White Disc 160.2 30.45 0.0006137651 4.7873679117 0.0153579002
Red Ring
Outer 162.26 30.1 0.000622414 4.8548288371 0.01597742#4
nner 99.42 30.1 0.0002336705 1.8226299282 0.0022519359
t!ta" 0.0296#7
d1 d2 d3 $%erage
d stee" 5 4.9 4.94 4.9466666667
& '1 '2 'a%e ' (tee"
60 7.61 7.7 7.655 0.3#275 0.1464975625
65 7.79 7.#6 7.#25 0.39125 0.1530765625
70 #.13 #.0# #.105 0.40525 0.1642275625
75 #.27 #.27 #.27 0.4135 0.1709#225
#0 #.42 #.4# #.45 0.4225 0.17#50625
) stee" 5.##*+011
("!,e 0.0016
- (tee" 1.2*011
d1 d2 d3 $%erage
d a"uminium 5.01 5.02 5 5.01
& '1 '2 'a%e ' $"uminuim
40 10.14 10.26 10.2 0.51 0.2601
45 10.54 10.59 10.565 0.52#25 0.27904#0625
50 11.25 11.16 11.205 0.56025 0.313##00625
55 11.97 11.74 11.#55 0.59275 0.3513525625
60 12.35 12.26 12.305 0.61525 0.37#5325625
) stee" 6.19*+011
("!,e 0.0062
- $"uminium 3.1*010
M = ρVV =π
4 D
2t I =
1
2 MR
2
7/23/2019 Torsional Oscillation
http://slidepdf.com/reader/full/torsional-oscillation 4/4
55 60 65 70 75 80 85
0
.02
.04
.06
.08
0.1
.12
.14
.16
.18
0.2
f(x) = 0.0016384613x + 0.04796575
Chart Title
Steel
35 40 45 50 55 60 65
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
f(x) = 0.0061833925x + 0.007413025
Chart Title
Aluminuim
