Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
of 12
-
Upload
r1c4rd0f3r -
Category
Documents
-
view
216 -
download
0
Transcript of Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
1/12
x x
x x
x x
x
170
175
180
185
190
195
200
Ordered Data Plot
Settings
ResponseY(FirstResonanceFreq)
+ + + + - - -X1: - - + + - - +X2:- + - + - + -X3:
Free Vibration of an Isotropic Cantilever Beam using FEM Abaqu
k = 3n = 8
Step 1
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
2/12
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
3/12
170
175
180
185
190
Main Effects Plot
Factors
MeanResponseY
(FirstResonanceFreq)
X1
L
X2
t
X3
E
- + - + - +
-11.6148
-6.%
9.28075
5%
0.18075
0%
Free Vibration of an Isotropic Cantilever Beam using FEM Abaqus
k = 3n = 8
Step 3
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
4/12
170
175
180
185
190
X1(L)
AverageY(First
ResonanceFreq) 1: -11.61 12: -0.3 13: -0.01
X2(t)
2: 9.28 23: 0
X3(E)
3: 0.18
Free Vibration of an Isotropic Cantilever Beam using FEM Abaqus
Interaction Effects Matrix
Step 4
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
5/12
- -
- -
+ +
+ +
160
170
180
190
200
Factor Combinations
AverageY(FirstReson
anceFreq) x1(L)
- -
- -
+ +
+ +
160
170
180
190
200
Factor Combinations
AverageY(FirstReson
anceFreq) x2(t)
-
-
-
-+
+
+
+
160
170
180
190
200
Factor Combinations
AverageY(FirstResonanceFreq) x3(E)
Free Vibration of an Isotropic Cantilever Beam using FEM Abaqus
Block Plots
Step 5
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
6/12
170 175 180 185
170
175
180
185
190
Youden Plot
Response Y (First Resonance Freq) for - Setting
ResponseY(FirstRes
onanceFreq)for+
Setting
1
2
1231323123
Free Vibration of an Isotropic Cantilever Beam using FEM Abaqus
k = 3n = 8
Step 6
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
7/12
0
5
10
15
20
|Effects| Plot
Factor
|E
ffects|
Free Vibration of an Isotropic Cantilever Beam using FEM Abaqus
1 2 12 3 13 23
Factor Effect
1 : -112 : 9.212 : -0.
3 : 0.113 : -0.23 : 0.0123 : 0.0
Average = 181.1914
Step 7
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
8/12
x x x x x
x
x
0 0.5 1 1.5
0
5
10
15
20
Halfnormal Probability Plot of |Effects|
Halfnormal Distribution Order Statistic Medians
Order
ed|Effects|
Free Vibration of an Isotropic Cantilever Beam using FEM Abaqus
k = 3n = 8
Step 8
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
9/12
0
1
2
3
4
5
6
7
8
Cumulative Residual SD Plot
Cumulative Model
Res
idualSD
1 2 12 3 13 23Average
Free Vibration of an Isotropic Cantilever Beam using FEM Abaqus
k = 3n = 8
Step 9
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
10/12
-2 -1 0 1
-2
-1
0
1
2
Contour Plot of the 2 Dominant Factors: X1 (L) and X2 (t)
X1(L)
X2(t)
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
-2 -1 0 1
-2
-1
0
1
2
182.21 170.892
191.7875 179.876
Free Vibration of an Isotropic Cantilever Beam using FEM AbaqusStep 10
Model Predicted Value at Center Point = 181.1914
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
11/12
146 164.25 182.5 200.75
0
0.05
0.1
0.15
0.2
Resonance Freq. Q1 ( kHz ) (n = 9, s = 3.
Prob
ability
Free Bending Vibration of an Isotropic Cantilever Beam ( FE
95% Uncertainty Bounds Plot with Dataplot (Fong-Marcal-Filli
"DEX" = Design of
Experiments, where
k = no. of factors,
n = no. of runs.
Resonance Freq.
181.1(for a 9 - run "D
n = 8 plus
95% Lower
Bound =
171.514
95%
Bo
190
L = 0.232 mm +/- 1.6 %, h = 0.007 mm +/- 2.5 %, E = 169,158 MPa +
*Timoshenko-Young, Vibration Problems in Eng., 3rd ed
Exact solution*: Qt-statistic = (181.18 - 179
= 2.154 / ( 3.72Critical t ( 0.025, 8) = 2.30
Conclusion: FEM simula
-
8/12/2019 Fong743 DEX Plots 1 to 11 Isotropic Canti Beam
12/12
