ning wenxin , gao eryang , lin yuxin , wan mingchao, yan yan
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1
Ning Wenxin, Gao Eryang, Lin Yuxin, Wan Mingchao, Yan Yan
A Study on the Relationship between the Factors and Glue
Viscosity
Design of Experiment
2
Content
• Design Methodologies• Factor Analysis• Design Matrix
• Engineering Background & Preparation• Experiment Introduction• Literature Review
• Analytical Procedures • Conclusions
• Experiment Procedures
3
Background
Glue plays an important role in daily life.
It is not to exaggerate that without glue, one will not work efficiently.
4
Objective
The experiment aims at figuring out the impact of different factors to glue viscosity.
5
Literature Review
• Component analysis
• PVA is indispensable in viscosity.
• However, the effect of PVA is impacted by temperature, time, humidity and etc.
6
Literature Review• Standard of office glue• Temperature, humidity, contact
surface, time, concentration of glue will all affect the viscosity of glue.
《中华人民共和国轻工行业标准 .2011 》
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Factor Analysis
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Factor Analysis• Environment and people are hard to
control precisely, so blocking such factors will lead to a better result.
• As surface roughness of wall and coated plank are obviously distinct, choose them to be two conditions.
9
Factor AnalysisPreliminary experiments
• Concentration, 66.6% is the lower bound of viscosity.
• Viscous force doubles when processing time increases from 3min to 7min.
• Force doubles when surface area changes from 50% to 100%.
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Response Variable
Response variable Range Precision
Relationship of response variable to
objective
Viscous force (0, 500) g Spring
dynamometerEstimate mean effect
of each factors
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Constant Variables
Factor (units)
Desired experim
ental level
Measurement
precision How to control (in
experiment) Anticipated
effects
Temperature 25℃ Thermomet
er Same temperature.Slight effect
in the result.
Humidity 40%-60% Hygrometer Same humidity.
Slight effect in the result.
Wind power 0 Experience Indoors. No impact.Sort of glue Same Experience A same bottle of glue. No impact.
Sort of water Same Experience A same bottle of water
to dilute the glue. No impact.
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Control Variables (Full factorial design)Control variabl
e
Normal level & range
Precision & setting
error Proposed settings Predicted
effects
Time (0, 10) min
Stopwatch (0.01s)
Lower : 2 to 4 minHigher one : 6 to 8 min
The longer the time, the larger
the force.
Rough-ness
Rough and
smooth
Experience Rough : wall Smooth : coated plank
The smoother the surface, the larger the force.
Concen-tration
(66.6%,
100%)Experience Lower : 66.6%
Higher : 100%
The higher the concentration, the larger the
force.Surface
area25*34 mm2 Ruler Lower : 20*17 mm2
Higher : 25*34 mm2
The larger the area, the larger
the force.
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Nuisance Factors
Nuisance factor
Measurement
precisionStrategy Anticipated effects
Pressure Experience
A same and skilled operator.
After practice, factor is in control.
Uniformity
Experience
A same and skilled operator.
After practice, factor is in control.
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Design MatrixStandard Sequence
Actual Sequence Time Contact
Area Concentration Contact Surface
1 1 2min~4min 17mm*20mm 60% wall2 2 6min~8min 17mm*20mm 60% wall3 3 2min~4min 25mm*34mm 60% wall4 4 6min~8min 25mm*34mm 60% wall5 5 2min~4min 17mm*20mm 100% wall6 6 6min~8min 17mm*20mm 100% wall7 7 2min~4min 25mm*34mm 100% wall8 8 6min~8min 25mm*34mm 100% wall9 9 2min~4min 17mm*20mm 60% coated plank
10 10 6min~8min 17mm*20mm 60% coated plank11 11 2min~4min 25mm*34mm 60% coated plank12 12 6min~8min 25mm*34mm 60% coated plank13 13 2min~4min 17mm*20mm 100% coated plank14 14 6min~8min 17mm*20mm 100% coated plank15 15 2min~4min 25mm*34mm 100% coated plank16 16 6min~8min 25mm*34mm 100% coated plank
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Experiment Equipment
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Experiment Procedure
Clean the surface
Apply the glue evenly
Position the hook
Wait for some time
Add weight until the hook fall down
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标准序 运行序 time area concentration roughness replication
1replicatio
n21 1 -1 -1 -1 -1 160 1402 2 1 -1 -1 -1 400 3603 3 -1 1 -1 -1 410 4004 4 1 1 -1 -1 470 4805 5 -1 -1 1 -1 400 1806 6 1 -1 1 -1 240 3607 7 -1 1 1 -1 300 3408 8 1 1 1 -1 440 4809 9 -1 -1 -1 1 160 120
10 10 1 -1 -1 1 140 18011 11 -1 1 -1 1 200 22012 12 1 1 -1 1 140 28013 13 -1 -1 1 1 120 12014 14 1 -1 1 1 140 18015 15 -1 1 1 1 200 20016 16 1 1 1 1 320 300
Raw Data
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1-1
360320280240200
1-1
1-1
360320280240200
1-1
ti me
均值
area
concentrati on roughness
force 主效应图数据均值
Main Effect Plot
19
1-1 1-1 1-1
400
300
200
400
300
200
400
300
200
t i me
area
concentrat i on
roughness
-11
ti me
-11
area
-11
concentrat i on
force 交互作用图数据均值
Interactions Plot
20
area*t i me
10- 1
1. 0
0. 5
0. 0
- 0. 5
- 1. 0
concent rat i on*t i me
10- 1
1. 0
0. 5
0. 0
- 0. 5
- 1. 0
roughness*t i me
10- 1
1. 0
0. 5
0. 0
- 0. 5
- 1. 0
concent rat i on*area
10- 1
1. 0
0. 5
0. 0
- 0. 5
- 1. 0
roughness*area
10- 1
1. 0
0. 5
0. 0
- 0. 5
- 1. 0
roughness*concent rat i on
10- 1
1. 0
0. 5
0. 0
- 0. 5
- 1. 0
t i me - 1area - 1concent rat i on - 1roughness - 1
保持值
> – – – – – – < 100
100 150150 200200 250250 300300 350350 400
400
f orce
f orce 的等值线图
Contour Plot
21
5. 02. 50. 0- 2. 5- 5. 0- 7. 5- 10. 0
99
9590
80706050403020
105
1
标准化效应
百分比
A t i meB areaC concent rat i onD roughness
因子 名称
不显著显著
效应类型
ABC
D
B
A
标准化效应的正态图(响应为 f orce,Al pha = 0. 05)
Normal Plot of Effects
22
ACABC
BCABDCDBD
ABCDBCDACDAD
ABCABD
9876543210
项
标准化效应
2. 120A t i meB areaC concent rat i onD roughness
因子 名称
标准化效应的 Pareto 图(响应为 f orce,Al pha = 0. 05)
Pareto Plot
23
ANOVA
• Time• Area• Roughness• Time*Area* Concentration
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Force = 268.13 + 38.75×time + 55.62×area + 1.87×concentration - 79.37×roughness + 23.75×time×area×concentration
Regression
100500-50-100
99
90
50
10
1
残差
百分比
500400300200100
100500
-50-100
拟合值
残差
120600-60-120
10. 0
7. 5
5. 0
2. 5
0. 0
残差
频率
3230282624222018161412108642
100500
-50-100
观测值顺序
残差
正态概率图 与拟合值
直方图 与顺序
force 残差图
25
曲线高
低1. 0000D优化
d = 1. 0000
最大值f orce
y = 467. 5000
1. 0000合意性复合
- 1. 01. 0
- 1. 01. 0
- 1. 01. 0
- 1. 01. 0
area concent r roughnest i me[1. 0] [1. 0] [1. 0] [ - 1. 0]
Response Optimization
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References
[1] 中华人民共和国工业和信息化部 . 中华人民共和国轻工行业标准 [Z]. 2011.
[2] 百度百科 . 聚乙烯醇 [OL]. 2013. <http://baike.baidu.com/view/333383.htm#14_6>
[3]Wang Kaibo. Full factorial design. 2013.
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Thank youQ&A
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