quality improvement of a plastic injection moldervardeman/stat531/handnotes/doddstory.pdf ·...
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Quality Improvement of aPlastic Injection Molder
Iowa State UniversityMarch 19,1999
Kevin DoddSalvador Neaves
Kendall NeyMatt Raine
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Why An Injection MoldingCorporation?
• Large industrial facility• Injection Molding demands precision• Injection molding is the wave of the
future
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Objectives• Attempt a logical statistical quality analysis in
a real world situation• Provide a useful assessment of the variability
in an injection molding process• Characterize the current process
performance• Work to improve unsatisfactory performance
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What ?•Analyze the variability of pre-form weights for a 48-cavity injection moldingmachine
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Inside an Injection Molding Plant
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Initial Analysis• We began by benchmarking the
current process to determine how themachine is currently running
• Based on these findings and pastperformance, four variables with thegreatest potential impact on pre-formweight were chosen for an experiment
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Factors Analyzed in an InjectionMolding Process Experiment
•Hold Time (2.5 - 7sec)•Hold Pressure (600 - 1400psi)•Injection Time (1.5 - 3.5sec)•Injection Pressure (60 - 100 % of 2800psi)
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Data Collection• Five cavities were selected to represent
performance throughout the mold
3 37
18
9 47
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Data Collection• Keeping these five cavities constant, the
mean and variability across cavities could beobserved
• Pre-forms were taken from these samecavities for each of 33 different set-ups andweighed on the same scale
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Data Collection
• All 16 combinations of High and Low values• 1 All-nominal run (combination of Medium
values)• 16 combinations of High-Medium-Low values
• Total number of set-ups = 33
Set-ups
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Data Collection
• 33 set-ups X 5 runs/set-up X 48 pre-forms/run= 7920 pre-forms manufactured
• 33 set-ups X 5 runs/set-up X 5 pre-forms/run= 825 pre-forms weighed
Total pre-forms analyzed
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Experimental Matrix(Partial)
Setup # Hold Pressure Hold Time Injection Time Fill Pressure Cavity 3 Cavity 9 Cavity 18 Cavity 37 Cavity 47 Y-bar Std Dev
1-1 1400 2.5 3.5 60 23.36 23.36 23.19 23.30 23.38 23.32 0.07761-2 1400 2.5 3.5 60 23.37 23.36 23.20 23.32 23.39 23.33 0.07601-3 1400 2.5 3.5 60 23.33 23.33 23.28 23.32 23.37 23.33 0.03211-4 1400 2.5 3.5 60 23.34 23.34 23.29 23.34 23.36 23.33 0.0261
1-5 1400 2.5 3.5 60 23.35 23.35 23.23 23.32 23.37 23.32 0.05552-1 600 7 3.5 60 23.56 23.56 23.57 23.55 23.59 23.57 0.01522-2 600 7 3.5 60 23.56 23.55 23.57 23.55 23.60 23.57 0.02072-3 600 7 3.5 60 23.56 23.56 23.58 23.55 23.60 23.57 0.02002-4 600 7 3.5 60 23.56 23.55 23.57 23.55 23.59 23.56 0.01672-5 600 7 3.5 60 23.55 23.55 23.58 23.54 23.59 23.56 0.0217
EXPERIMENTAL MATRIX PRE-FORM WEIGHT (grams) SUMMARIES
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Data Analysis
Tools Used in the analysis
•Minitab “DOE” quadratic regressionused to identify the most influentialvariables and model response•Minitab for contour and surface plots
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Example Regression AnalysisResponse Surface RegressionEstimated Regression Coefficients for Y-barTerm Coefficients T PConstant 22.2283 387.347 0.000Hold Pressure 0.0010 24.738 0.000Hold Time 0.2631 36.314 0.000Injection -0.1447 -3.327 0.001Fill Pre -0.0046 -3.834 0.000Hold Pre*Hold Pre -0.0000 -16.371 0.000Hold Tim*Hold Tim -0.0116 -17.368 0.000Injectio*Injectio 0.0303 3.614 0.000Fill Pre*Fill Pre 0.0000 2.263 0.025Hold Pre*Hold Tim -0.0000 -14.852 0.000
S = 0.01406 R-Sq = 99.7% R-Sq(adj) = 99.7%
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Summary of QuadraticRegression Analyses
•All 4 variables as predictors of Y-barR-Sqrd = 99.7%•Hold Time - Hold Pressure as predictors of Y-barR-Sqrd = 97.7%•All 4 variables as predictors of log(StDev)R-Sqrd = 69.3%•Hold Pressure as predictor of log(StDev)R-Sqrd = 53.5%
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Contour Plot
23.023.423.6
14001300120011001000900800700600
7
6
5
4
3
2
Hold Pressure (psi)
Hol
d T
ime
(sec
)
Contour Plot for Predicted Y-bar
23.6grams
23.4grams(Target Value)
23.0grams
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Fitted Regression Equation forLog (StDev)
14001300120011001000900800700600
-3.1
-3.2
-3.3
-3.4
-3.5
-3.6
-3.7
-3.8
-3.9
-4.0
Hold Pressure (psi)
Pre
dict
ed L
og(S
tDev
)
(measuring within-die variability)
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Results• From the contour plot for Y-bar we are able to
choose values for Hold Time and Hold Pressureto produce an ideal mean weight (23.4gr)
• From the regression analysis for Log(StDev) wefound that within die variability is minimumaround 880psi Hold Pressure
• Predicted Log(StDev) for Hold Pressure in therange 600 - 1160psi is not substantially larger theminimum possible (minimum is at 880psi)
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Results
• The company prefers a small Hold Time, sofor a target value of 23.4 grams, using thecontour plot we recommend:
Hold Pressure = 1140psi Hold Time = 3.95sec
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Initial Verification Study
•Benchmarking: Average weight = 23.280gr•Verification Run: Average weight = 23.405gr
Run # Hold Pressure Hold Time Injection Time Fill Pressure Cavity 3 Cavity 9 Cavity 18 Cavity 37 Cavity 47 Y-bar Std Dev
1 1140 3.95 1.99 66 23.40 23.39 23.39 23.39 23.44 23.40 0.02172 1140 3.95 1.99 66 23.41 23.40 23.47 23.39 23.45 23.42 0.03443 1140 3.95 1.99 66 23.40 23.38 23.41 23.39 23.44 23.40 0.02304 1140 3.95 1.99 66 23.40 23.39 23.40 23.40 23.44 23.41 0.01955 1140 3.95 1.99 66 23.41 23.40 23.41 23.39 23.44 23.41 0.01876 1140 3.95 1.99 66 23.40 23.39 23.39 23.39 23.43 23.40 0.01737 1140 3.95 1.99 66 23.40 23.38 23.40 23.40 23.43 23.40 0.01798 1140 3.95 1.99 66 23.41 23.40 23.40 23.39 23.44 23.41 0.01929 1140 3.95 1.99 66 23.41 23.39 23.39 23.39 23.43 23.40 0.0179
10 1140 3.95 1.99 66 23.40 23.39 23.39 23.39 23.43 23.40 0.0173
VERIFICATION MATRIX PRE-FORM WEIGHT (grams) SUMMARIES
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Further Verification
• Compare historical machine output againstweights produced using set-up taken from thecontour plot (all 48 cavities)
(Routine process monitoring done on the basisof 6 randomly selected pre-forms each hour)
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Histogram of Historical Data
23.523.423.323.223.1
40
30
20
10
0
Pre-Form Weight (grams)
Freq
uenc
y
Histogram of Historical Production Data
Y-bar = 23.28gr.StDev = 0.035gr.
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Histogram of Current Data
23.523.423.323.223.1
40
30
20
10
0
Pre-Form Weight (grams)
Freq
uenc
y
Histogram of Current Production Data
Y-bar = 23.38gr.StDev = 0.037gr.
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Comparison Histograms
23.523.423.323.223.1
40
30
20
10
0
Pre-Form Weight (grams)
Frequency
Histogram of Current Production Data
23.523.423.323.223.1
40
30
20
10
0
Pre-Form Weight (grams)
Frequency
Histogram of Historical Production Data
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Recommendations• We suggest the company use contour
plots as a guide to setting the values of theHold Time and Hold pressure and moveHold Pressure toward 880psi to whateverextent is possible (and is consistent withlow cycle time goals)-These values will help provide thecompany with an optimal set-up for pre-form weights near 23.4gr
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??? Questions ???