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EXPERIMENTAL DETERMINATION OF THE AESTHETIC, DIMENSIONAL AND
CONTROL PROCESS WINDOWS USING THE TECHNIQUE OF
DESIGN OF EXPERIMENTS IN INJECTION MOLDING.
Suhas Kulkarni, FIMMTECH Inc., Vista, CA
Abstract
Traditionally, the mold qualification procedure involves
sampling the mold and establishing a process to make
acceptable parts. Process engineering studies such as in-
mold rheology, gate seal tests and generating process
windows are most commonly performed. Design of
Experiments (DOE) are conducted to study the effect of
the molding factors on the quality of the part and sometimes to find the process to mold a part within the
quality specifications. The process engineering studies
and the DOEs are conducted independent of each other.
This paper combines these techniques and introduces the
concepts of the Aesthetic Process Window, the
Dimensional Process Window and the Control Process
Window.
Introduction
The quality of the molded part is dependent on a
number of processing variables. Each part has a specified
quality requirement such as dimensions or the aesthetics
of the part. These are mentioned on the part drawing
together with upper and lower tolerance limits. The part
quality must be maintained within these limits for it to be
acceptable.
Process Engineering Studies are often performed to
optimize the process. In-mold rheology studies1 help
optimize the injection speeds. A gate seal test will
determine the optimum holding time. Process window
studies, also known as molding area diagram2 are used to
determine the extent of the molding areas. Wider the area,
more robust is the mold.
Design of Experiments are techniques where one can
study the effect of multiple variables on the quality of the
part. The analysis will provide the most significant factor
or factors that affect the part quality. The production team receives the information about the parameters that need to
be changed in case there is an issue with part quality.
DOE results will also give information about the factors
that have no effect on part quality and should therefore be
left unchanged. They also provide information about the
optimum combinations of the parameter values to produce
a part with certain dimensions or quality requirement.
This is done through the generation of prediction
equations.
Although the two procedures are widely used and generate useful results, the correlation between the two is
very important. In this paper we will study the
combination of these two techniques. Three terms are
introduced. They are the Aesthetic Process Window
(APW), the Dimensional Process Window (DPW) and the
Control Process Window (CPW). The concept will
demonstrate the acceptable area where one can mold
acceptable parts.
Experimental
Materials: High Density Polyethylene (HDPE)
Equipment: Arburg Molding Machine, 77 Ton, 75 gm shot size,
30 mm screw dia.
Injection Mold
NAUTILUS Process Engineering Software3
WISDOM DOE Software4
Procedures
The mold was mounted on the molding machine and
the melt and the mold temperatures were set within the
manufacturer’s recommended parameters. The injection
speed was optimized using the in-mold rheology
technique and was set to 101.6 mm/sec (4 in/sec). The
holding time was optimized via the gate seal test and was
set to 4 seconds. It was determines that the part had sink
below 2757 kPa (400 psi) and had flash above 5515 kPa
(800 psi). Therefore these were considered as the low and
the high limits of the holding pressure. Based on this information and the manufacturer’s recommendations, a
three factor DOE was designed using the WISDOM
software. The experimental matrix is shown in Table 1.
Table 1: DOE Matrix (Units: deg C, sec, kPa)
The experiments were run and the data was collected. A
length and diameter specified on the part print were
measured. Table 2 shows the quality specifications for the
part.
Length (mm) Diameter (mm)
Nominal 144.65 (5.695 in) 40.08 (1.578 in)
+ Tol 0.13 (0.005 in) 0.08 (0.003 in) - Tol 0.13 (0.005 in) 0.08 (0.003 in)
USL 144.78 (5.700 in) 40.16 (0.003 in)
LSL 144.52 (5.690 in) 40.00 (1.575 in) Table 2: Quality specifications for the part.
The data was analyzed using the DOE software and it was
found that the holding pressure was the most significant
factor that affected both the length and diameter of the
part. The second most significant factor that affected the
length and diameter of the part was the cooling time. This
is shown in the Pareto Chart in Figure 1 for the length of
the part. A contour plot for the both these responses were
generated with the Y-axis being the holding pressure and the X-axis being the cooling time. These are shown in the
subsequent figures and are used for the rest of the
discussions below.
Results and Discussions
The following terms will first be discussed with respect to one dimension only, the length of the part. The concept
will then be extended to multiple dimensions.
The Aesthetic Process Window (APW): The process
window that was generated during the process engineering
studies only looked for the aesthetics of the part; parts that
were free from defects such as shorts, sinks or flash.
Dimensions were not considered. This window where
only part aesthetics are observed is called as the Aesthetic
Process Window or the APW. The window determines the
processing limits that cannot be crossed to avoid molding an aesthetically defective product and/or molding below
or above a recommended process parameter value. Figure
2 shows the APW.
To mold parts that are dimensionally acceptable, one
must now look inside the cosmetic window. A DOE with
these two parameters as the main factors must be
performed and then the data must be analyzed. The part
we will be discussing is a part that had a length and a
diameter as critical dimensions shown in Table 2 above.
The Dimensional Process Window (DPW): Refer to
Figure 3. This is a contour plot that was generated for the
length of the part using the same limits for the DOE. The
data has been extrapolated to show the window and avoid
any overlap. On this contour plot, the LSL, the NOM and
the USL are also marked. The green shaded area is the
area where the parts that are molded are dimensionally
acceptable. Outside this area there are reasons that the
parts will be defective. Above 5515 kPa the parts will
flash and below the red LSL line, the parts will be out of
spec, This window that is now a subset of the aesthetic
process window is called the Dimensional Process Window or the DPW. In this case, the window is not a
uniform quadrilateral and the molding parameters must be
selected inside this area.
The Control Process Window (CPW): We shall now take
this concept further. If the dimension under consideration
is a dimension that needs to be statistically capable, then a
Control Process Window can be defined. Once the
molding process is started, the process capability can be
calculated and the control limits can be established. We
can now apply this to the DPW. Refer to Fig 4. Based on
the statistical process capability, the Lower Control Limit (LCL) and the Upper Control Limit (UCL) were
calculated and are shown in the figure. These contours can
now be plotted on the contour plot and the CPW can be
determined. This new window where the parts are now
not only acceptable but also under statistical quality
control is called the Control Process Window (CPW).
The internal blue shaded area is the CPW.
Multiple Dimensions: We shall now extend the above
concepts to incorporate the second dimension, the
diameter of the part. When there are multiple dimensions involved, the contour plots get complex. The contours of
the nominals and the specification limits of each
dimension will rarely overlap and even rarer would be the
slopes of the contours of the same value. The effective
process window will therefore be the intersection of the
two individual process windows. Refer to the Figures 5
below which shows the overlap of the two windows, one
for the length and the other for the diameter. It also shows
the control process window. Naturally, the overlap is
smaller than the individual process windows. This is the
Composite Dimensional Process Window.
Multiple Cavities: The concept can again be extended to
multiple cavities. As one can imagine, the above concepts
can get very confusing when applied to multiple cavities.
In theory, all the cavities should be producing parts with
the same quality and it is a matter of applying the results
of one cavity to the rest of the cavities. For parts to be
identical in all the cavities, geometric and rheological
flow balance is required in the mold.
The following terms can now be defined:
Aesthetic Process Window (APW): The limits between which an aesthetically or cosmetically acceptable part can
be molded. Dimensions are of no concern.
Dimensional Process Window (DPW): The limits between
which a dimensionally acceptable part can be molded.
Control Process Window (CPW): When the statistical
control limits are applied to the dimensions on the
Dimensional Process Window, the window of operation is
called the Control Process Window.
Composite Process Window: (CoPW): When multiple
dimensions and multiple cavities are analyzed, the results are displayed in a Composite Process Window.
Conclusions and Remarks
Although mold qualifications using process
engineering studies and DOEs are routine, there is an
absence of a method of correlating the data from the two techniques. The two techniques provide important data
but the combining the two provides a very clear
understanding of the capabilities of the mold and the
molding process. Wide process windows provide an
opportunity to run successful molding operations. Some
would argue that the window gets smaller and smaller as
the number of dimensions and cavities increase.
Unfortunately that is the reality, and the fact of the matter
is that this has been a hidden truth. This is the primary
reason why most companies have ‘one’ approved process
sheet with some acceptable tolerances. The tolerances are usually placed based on past experiences in molding. The
tolerances must be set based on the type of analysis
performed above and the results obtained from them.
Understanding the sensitivity of the part quality to these
factors gives an insight to setting the process parameter
tolerances during molding.
Having multiple dimensions and multiple cavities
makes the windows smaller and smaller. This further
pleads the case for a well built mold and parts with
practically defined tolerances. Concurrent engineering principles and practices become important. A robust
process requires less human intervention. The frequency
of inspection can also be reduced. Upfront planning and a
disciplined approach to process development are therefore
imperative to the efficiency of the production run and the
profitability of the operation.
References
1. John Bozzelli, Injection Molding Solutions, Midland,
Michigan.
2. Injection Molding Handbook, 2nd Edition, Dominic
Rosato.
3. FIMMTECH, www.fimmtech.com, Vista, CA
4. Launsby Consulting, www.launsby.com, Colorado
Springs, CO.
Acknowledgements
The author thanks Distinctive Plastics, Vista, CA and its management for the help with this study.
Figures
Figure 1: Pareto Chart obtained from the DOE analysis for the length of the part.
Figure 2: The Aesthetic Process Window
Figure 3: The Dimensional Process Window for the Length of the part.
Figure 4: The Control Process Window for the Length of the part.
Figure 5: The Composite Control Process Window for the Length and the Diameter of the part.