seminar on statistical process control on cylinder liners

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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

    05/28/09 16:02

    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

    05/28/09 15:37

    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

    05/28/09 16:40

    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

    05/28/09 17:28

    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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