seminar on statistical process control on cylinder liners
TRANSCRIPT
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ABSTRACTProcess Capability
Two concepts need to be considered:
Process capability is determined by the variations that
comes from common cause.
Customers, internal or external, are more typically
concerned with the overall output of the process.
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Statistical Quality Control Software
The software stores information in a databaseand develops the control chart for the data.
The data may be retrieved any time on userrequest.
The multiple document interface help in theview ability and accessibility of the data.
It works on set guidelines, the specificationcan be user defined.
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INTRODUCTIONMachining ProcessProcess control plan are made mainly on the following processsuch as,
Outer diameter turning (Rough) Inner diameter turning (Rough)Outer diameter turning (Finish)Finish bore turning
Rough honingCNC turningFinish honingPlato honing.
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OVERVIEW OF SQCStatistics :
Collection, tabulation, analysis and interpretation of the data.
Quality :Fitness for Use.
Control :
Directing and maintaining the quality of the thing.
SQC :A tool of scientific management where the control of the
quality of characteristics of a product is possible with the help
of systematic measurement in terms of numbers.
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STATISTICAL PROCESS CONTROLDefinition : Application of statistical methods at the process
control stage is known as statistical process control.
SPC is powerful collection of problem solving tools useful in
achieving process stability and improving capability.The seven major SPC problem solving tools are
1. Histogram2. Check sheet
3. Pareto Charts4. Cause and effect diagram
5. Defect concentration diagram
6. Scatter diagram
7. Control Charts
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OBJECTIVES OF QUALITY CONTROL:
To reduce company cost through reduction of the
losses due to defects.
To produce the optimum quality at minimum price.
To make inspection prompt to ensure quality control.
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BENEFITS OF SQCReduction of scraps.
Increases output.
Efficient utilization of man, machines,material & money.
Reduce wasted machine and man hour.
Ensures rapid and efficient inspection at a
minimum cost.Easy detection of faults.
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PROCESS CAPABILITYDefinition :
Minimum spread of specific measurement variation,
which will improve 99.7% of the measurement from thegiven process.
Process capability is the measured inherent variation of
the product turned out by a process.
Process capability study is carried out to measure theability of the process to meet the specified tolerances.
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FACTOR INFLUENCING PROCESS CAPABILITY
Condition of machines/equipment.
Type of operation and operational conditions.
Raw materials.
Operators skill.
Measurement instruments.
Inspectors skill.
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PROCESS CAPABILITY RATIO (Cp)
The ability of the process to meet the tolerances if at allstrength of the output that process will produce if (6 sigma >(USL-LSL)).
Cp = (USL - LSL)/6 * sigma
whereSigma = standard deviation
When Cp = 1.00: then the process is just about to meet desired
specification.When Cp< 1.00: then the process will not meet the desired
specification and is out of control.
When Cp>=1.33: then the process is under statistical controland meets desired specification.
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3
minZ
Cpk =
( )
=
XUSLZupper
=
)( LSLXZlower
PROCESS CAPABILITY INDEX(Cpk
)
Process capability indexes that measures potential for the process to generate the
output relative upper or lower specification.
WhereZmin = the smaller of the Z
upper, Z
lower
When Cpk> 1.33: the process is capable
When Cpk< 1.00: process is not capable
When Cpk=Cp: the process is centered between the upper & lower specification.
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R*DUCL 4R = R*DLCL 3R =
R*AXUCL 2x += R*A-XLCL 2x =
2d
R=
STEPS INVOLED IN THE ESTIMATION OF PROCESS CAPABILITY:
Using X (bar) and R chart information we determine the value of Cp
& Cpk
the formula for chart control limits
STEP 1:
The methods of computing control limits for a range chart based on 3 standard deviations are:
D4 and D3 are from a table of multipliers.
STEP 2:
The methods of computing control limits for an x-bar range chart based on 3 deviations is:
Upper control limits Lower control limits
Where:
A2
is from a table of factors of control limits.
STEP 3:
Standard Deviation is calculated by
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CAPABILITY ANALYSISProcess capability is analyzed with a set of statistics that
have been calculated from a set of process data and
specifications.
Capability analysis compares how a process is actually
running to its specifications.
A system is said to be capable if it is producing
approximately 100% of its output within specifications.
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Cpk
Capability Index tells how well as system can meet specification limits.
If Cpk is 1.0
The system is producing 99.73% of its output within specifications.
If Cpk is between 0 and 1.0Not all process output meets specifications.
If Cpk is less than 1.33
If Cp is less than 1.33: Variations in the process should be reduced.
If Cp is greater than 1.33: The process should be centered within itsspecifications.
If Cpk is greater than 1.33
If Cp is less than 1.33: Not mathematically possible.
If Cp is greater than 1.33: Fine tune and improve the process continuously.
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CONTROL CHARTS
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CONTROL CHART
A control chart is the graphical representation of the collected information.
THE CONCEPT OF VARIATIONS
No two items will be perfectly identical even if extreme care is taken.
Variation is a fact of nature.
The variation may are expressed in microns.
REASONS FOR VARIATION
Tools wear, Machine vibration, Loose bearings, Poor quality of raw
materials, Operators Carelessness, Untrained operator, Fatigue caused tooperator, Change in working condition/weather, Poor maintenance,
Measuring errors, etc.
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KINDS OF VARIATIONS
1. Variation Due To Assignable Causes
These can be easily traces are detected.
The variations due to assignable causes:
Difference among machines, workers, materials.
2. Chance Variation They are difficult to trace and difficult to control.
Fig: Control Chart Patterns of Chance Variation
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Assignable cause pattern of variation
Extreme variation
Extreme variation is recognized by the points fallingoutside the upper and lower control limits.
Causes: Errors in measurements and calculations Wrong setting of machine, tools
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Indication of Trend:The points on X or R chart tend to move steadily
either towards LCL or UCL, it can be assumed thatprocess is indicating a trend.
Causes: Tool wear Wear of threads on clamping devices Effects of temperature and humidity.
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ShiftWhen a series of consecutive points fall above or below the centralline, control chart is can be assumed that shift in the process hastaken place.
Causes: Change in materials Change in operator, inspector, inspection equipment Change in machine setting New operator, carelessness of the operator, etc.
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Erratic Fluctuations
Causes:
Frequent adjustment of machineDifferent types of material being processed.
Change in operator machine etc.
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NAME OF THE LINER: MWMHONING
X-bar & R chart
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AVERAGES RANGE
---------------- ------------------Upper Control Limit : 128.01042684 0.00994974
Lower Control Limit : 128.00407316 0.00000000
Average : 128.00725000 0.00436000
Sigma : 0.00211790
Center : 128.00725000
Control Limits based on all plotted groups
Control Limits shown for complete groups of size 4.
There were no observations out of control.
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Process Capability chart
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CHART1: Process CapabilityC hart: mwm 234honning - DATA1
0.0
4.8
9.6
14.4
19.2
24.0
0.00
4.60
9.20
13.80
18.40
23.00
CELLFREQUENCY
PERCENT
CELL BOUNDARY
128.002
128.003
128.004
128.005
128.006
128.007
128.008
128.009
128.010
128.011
128.012
128.013
128.014
Fitted curve is a Normal. K-S test: 0.035. Lack of fit is si gnificant.
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Calculation of Cp & Cpk
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NAME OF THE LINER: MWMCOLLAR WIDTH
X& R chart-bar
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AVERAGES RANGE
---------------- ----------------
Upper Control Limit : 7.98774933 0.01716102
Lower Control Limit : 7.97679067 0.00000000
Average : 7.98227000 0.00752000
Sigma : 0.00365289
Center : 7.98227000
Control Limits based on all plotted groupsControl Limits shown for complete groups of size 4.
There was 1 observation out of control.
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Process Capability chart
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CHART1: Process CapabilityChart: MWM234CW - DATA1
0.0
10.0
20.0
30.0
40.0
50.0
0.00
9.20
18.40
27.60
36.80
46.00
CELLFREQUENCY
PERCENT
CELL BOUNDARY
7.970
7.972
7.974
7.976
7.978
7.980
7.982
7.984
7.986
7.988
7.990
7.992
7.994
Fitted curve is a Normal. K-S test: 0.000. Lack of fit is significant.
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Calculation of Cp & Cpk
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NAME OF THE LINER: MWMSTEP OUTER DIAMETERX& R chart-bar
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AVERAGES RANGE
---------------- ------------------Upper Control Limit: 147.90180694 0.02382460
Lower Control Limit: 147.88659306 0.00000000
Average : 147.89420000 0.01044000
Sigma : 0.00507129Center : 147.89420000
Control Limits based on all plotted groups
Control Limits shown for complete groups of size 4.
There were 4 observations out of control.
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Process Capability chart
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CHART1: Process Capabil ityC hart: MWM234SOD - DATA1
0.0
7.0
14.0
21.0
28.0
35.0
0.00
6.80
13.60
20.40
27.20
34.00
CELLFREQUENCY
PERCENT
CELL BOUNDARY
147.880
147.884
147.888
147.892
147.896
147.900
147.904
147.908
147.912
147.916
147.920
147.924
147.928
Fitted curve is a Normal. K-S test: 0.008. Lack of fit is significant.
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Calculation of Cp & Cpk
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NAME OF THE LINER: MWMLAND OUTER DIAMETER
X-bar & R chart
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AVERAGES RANGE
---------------- ------------------
Upper Control Limit: 143.95145634 0.02282050
Lower Control Limit: 143.93688366 0.00000000
Average : 143.94417000 0.01000000
Sigma : 0.00485756
Center : 143.94417000
Control Limits based on all plotted groups
Control Limits shown for complete groups of size 4.
There was 1 observation out of control.
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Process Capability chart
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CHART1: Process CapabilityChart: MWM234LOD - D ATA1
0.0
6.0
12.0
18.0
24.0
30.0
0.00
5.60
11.20
16.80
22.40
28.00
CELLFREQUENCY
PERCENT
CELL BOUNDARY
143.928
143.931
143.934
143.937
143.940
143.943
143.946
143.949
143.952
143.955
143.958
143.961
143.964
Fitted curve is a Normal. K-S test: 0.004. Lack of fit is s ignificant.
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Calculation of Cp & Cpk
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NAME OF THE LINER: MWMBODY OUTER DIAMETER
X-bar & R chart
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AVERAGES RANGE
---------------- ----------------
Upper Control Limit: 147.00000000 0.31319563
Lower Control Limit: 146.80000000 0.00000000
Center : 146.90000000 0.13724311Sigma : 0.06666667
Average : 146.90660000
Control Limits shown for complete groups of size 4.
There were no observations out of control
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Process Capability chart
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CHART1: Process Capabil ityCha rt: MWM234PRE FINISHBOD - DATA1
0.0
10.0
20.0
30.0
40.0
50.0
0.00
6.40
12.80
19.20
25.60
32.00
CELLFREQUENCY
PERCENT
CELL BOUNDARY
146.800
146.815
146.830
146.845
146.860
146.875
146.890
146.905
146.920
146.935
146.950
146.965
146.980
Fitted curve is a Normal. K-S test: 0.000. Lack of fit is significant.
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Calculation of Cp & Cpk
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NAME OF THE LINER: MWMTAILEND OUTER DIAMETER
X-bar & R chart
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AVERAGES RANGE
---------------- ------------------Upper Control Limit: 133.92175391 0.09036918
Lower Control Limit: 133.86404609 0.00000000
Average : 133.89290000 0.03960000
Sigma : 0.01923594Center : 133.89290000
Control Limits based on all plotted groups
Control Limits shown for complete groups of size 4.
There were 3 observations out of control
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Process Capability chart
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CHART1: Process Capability Chart: MWM234PREFIN ISHTOD - DATA1
0.0
8.0
16.0
24.0
32.0
40.0
0.00
7.80
15.60
23.40
31.20
39.00
CELLFREQUENCY
PERCENT
CELL BOUNDARY
133.790
133.805
133.820
133.835
133.850
133.865
133.880
133.895
133.910
133.925
133.940
133.955
133.970
Fitted curve is a Normal. K-S test: 0.009. Lack of fit is significant.
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Calculation of Cp & Cpk
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NAME OF THE LINER: HAFL
LAND OUTER DIAMETER
X-bar & R chart
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AVERAGES RANGE
---------------- ----------------Upper Control Limit: 110.44215559 0.04746664
Lower Control Limit: 110.41184441 0.00000000
Average : 110.42700000
0.02080000
Sigma : 0.01010373
Center : 110.42700000
Control Limits based on all plotted groups
Control Limits shown for complete groups of size 4.
There were no observations out of control.
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Process Capability chart
05/28/09 14:55
CHART1: Process CapabilityChart: HAFL912LOD - DATA1
0.0
7.0
14.0
21.0
28.0
35.0
0.00
6.80
13.60
20.40
27.20
34.00
CELLFREQUENCY
PERCENT
CELL BOUNDARY
110.400
110.405
110.410
110.415
110.420
110.425
110.430
110.435
110.440
110.445
110.450
110.455
110.460
Fitted curve is a Normal. K-S test: 0.000. Lack of fit is significant.
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Calculation of Cp & Cpk
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Lack of control is indicated by points falling
outside the control limit either on X-baror Rchart. It means that some assignable causesof variations are present; it not constantcause system.
After analyzing the collected data from CNCand conventional machine we found that inmany cases the value of Cpk was less thanthe minimum value. The various reasons for
this may beInput of materials
Machine maintenance
Tool wear
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Remedies
Implementation of first piece approach that is Doing it
right the first time. For every material change, tool
change and shift change online inspection is to be done by
skill supervisors.
Implementation of preventive maintenance and predictive
maintenance. For preventive maintenance check list is
done in every shift.
Training is provided to all workers regarding feeding oinput materials, online inspection etc.
Strict inspection is done for checking the hardness,
chemical composition etc.
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