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International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014)
504
Design of an Accuracy Control System in Ship Building
Industry
Eldho Paul1
, Deepak Eldho Babu2
, and Brijesh Paul3
1
PG Scholar, Department of Mechanical Engineering, Mar Athanasius College of Engineering, Kothamangalam, Kerala, India
2
Assistant Professor, 3
Associate Professor, Department of Mechanical Engineering, Mar Athanasius College of Engineering,
Kothamangalam.
Abstract— Accuracy Control System (ACS) in shipbuilding
industries is proven to improve quality of product along with
reduction in rework, production time and performance of
finished product. This concept had been implemented in many
shipyards worldwide especially in USA, Japan, and Europe.
The present study deals with one of the leading shipyards in
India. A Pilot study on the initial implementation of accuracy
Control System was carried out in this shipyard. To achieve
this high degree of unit accuracy, a pilot dimensional control
program was carried out in the plasma cutting machine used
in the preparation stage of production process. Through the
collection and analysis of data, we can identify the necessary
steps to control the quality of process. Based on these
findings, a detailed proposal was submitted on how ACS can
be initiated. It is inferred that with this recommendation, the
quality of products can be improved, thereby reducing
production cost and increasing competitiveness.
Keywords—Accuracy Control, Control chart. Cause and
Effect Diagram, Statistical process control, 5-why analysis.
I. INTRODUCTION
Ship production involves many stages of fabrication
process namely preparation, subassembly, assembly, grant
assembly, and erection. Throughout these processes it is
expected that dimension variance could occur and if not
managed properly it could cause dimensional problems
which will lead to rework and delay. This problem can be
controlled and minimized through good dimensional
management practices like Accuracy Control. Accuracy
control, which is based on statistical quality control, is
defined as the reduction of variability in processes and
products. In the shipbuilding industry, accuracy control
means the use of statistical techniques to monitor, control
and continuously improve shipbuilding design details and
work methods so as to reduce variation and maximize
productivity. [3]
For successful implementation of an
accuracy control program, it is necessary to verify that
processes are under control or not. If processes are not
under control, steps must be taken to eliminate identifiable
influences. The steps include preparation of sampling plan,
data collection and analysis of the data.
Once this data is collected and analyzed, shipyards can
assess their own quality levels and initiate improvement
actions where necessary. If industry averages for equivalent
processes are known, shipyards can compare their process
variations with these average or normal process variation
levels to help judge the success of their accuracy control
programs. [6]
II. PROBLEM DEFINITION
Ship building involves different stages. Interim products
at each stage of construction are used for further work in
the next stage. [2]
During our preliminary study it was
identified that in sub assembly stage most of the time is
spent for non-productive adjustment and reworks. The
main reason for this is the variation in accuracy of previous
plasma cutting stage. This study aims to improve the
accuracy of plasma cutting machine, thereby eliminating
the non-productive works in the sub assembly stage of ship
building.
III. LITERATURE REVIEW
In accuracy control theory, one of the most important
technical tools is statistical process control (SPC). Instead
of inspecting for quality after production, SPC focuses on
online statistical quality control. In fact, SPC not only
controls the process, but also has the capability to improve
the process as well. Through analysing data from the
process itself, SPC can be used as a powerful tool for
reducing process variability and achieving process stability.
Among all seven SPC tools, including Flowchart, Check
Sheet, Pareto Diagram, Cause-and–Effect Diagram, Scatter
Plot, Histogram and Control Chart, the Control Chart is
considered as the most powerful one. Before exploring the
different Control Chart’s it is necessary to review two basic
types of factors that may affect the production process. [7]
Shewhart control charts are thought of as the most
popular tool used in statistical quality control. Control
charts are used to distinguish between common causes and
special causes.
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014)
505
When the process is not running consistently, the
existence of special causes of variation can be detected.
Control charts have had a long history of use in industry.
A. Control Charts for Individuals
There are many situations in which the sample size used
in monitoring the process has just one unit, n=1. Plate
cutting in plasma machine is an example of this type of
process. In these types of situations, the control chart for
individual units is often extremely useful. In many
instances when using this type of control chart, the moving
range of two successive observations as the basis for
estimating the process variability is used. The moving
range is defined as,
= | xi – xi-1|
After developing the moving range, a control chart can
then be built from this. [7]
B. Short-Run Control Chart
Standard control charts can be easily applied in
manufacturing processes where a large number of identical
parts are being produced. However, shipbuilding is often a
one of a kind production industry, which means that batch
sizes are very small, sometimes only one. For this situation,
short run control charts were developed and are in common
use today.
The difference between short run control charts and the
standard control chart is, in the short run control chart, the
measured quality characteristics values are replaced by
deviation from nominal or target value. This can be
expressed in the form of the following equation. [2]
Where,
= i th
actual sample measurement of the quality
characteristic of w,
= Nominal value of the quality characteristic of w,
= Deviation of the actual measurement from nominal
of the i th
sample of quality characteristic w.
Control charts are used to plot the values obtained by
process sampling. Here X-bar – Moving Range (MR)
charts are used because it involves plates with different
dimensions and measurements are carried out at different
time.
Historically control charts are applied in manufacturing
where a large number of identical parts are being produced.
With the general trend toward product customization, batch
sizes are significantly reduced, sometimes even to one.
Consequently, the short run control chart was developed
and is in common use for these situations [2].
Applying the principal of X-bar and R control charts to
short run production, the measured quality characteristic is
replaced by deviation from nominal. Variation between
required and actual dimensions of the plate after cutting
was collected and tabulated in the table 1.
The purpose of the control chart is to act as a visual aid
whether the process is in control or out of control. If values
fall outside the control limits, the cause must be determined,
a decision on rework must be taken, and a correction
should be made to eliminate the problem causing the
variation.
So here two Control charts for variables are used;
• Individual short run control chart
• Moving average range chart
IV. METHODOLOGY
In order to find the out major factors in plasma cutting
which results in rework in subassembly stage, a sample of
cut plate is taken and the main parameters which affect the
quality of cut plate are listed. These are,
• Cutting accuracy
• Cut edge roughness
• Cut edge squareness
• Dross
The data with regard to number of times these factors
cause rework is plotted in the form of a Pareto chart, so as
to identify the main causes of rework. It is found out that
the variation in cutting accuracy of cut plate is the main
reason for rework in subassembly stage.
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014)
506
Table I
Tabulated Sample Of Plate Dimensions
A. Analysis of Cutting Accuracy
Steel plates required for ship building are mainly cut in
CNC plasma cutting machine. Dimensions of plates cut by
the machine using the process of plasma cutting is taken to
analyze the cutting accuracy. Measurements were taken
manually using a steel tape (837). The design and the
measured dimensions were noted for the plasma cut
components. The accuracy control check sheets are the
medium on which all data are recorded. In this check sheet
the different dimensions of the plate after cutting were
noted, and it is compared with the required dimensions of
the plate from design nesting diagram. The variation from
the required dimension is also noted in the check sheet and
tabulated (sample check sheet shown in Table 1). From the
random sample of plate dimensions, control charts are
prepared.
B. Calculation of Individuals Control Limits and Moving
Range
The average of the individual values (variations) is
calculated using this equation.
̅
∑
The difference between variation data points in table xi
and its predecessor xi-1, is calculated as,
= | |
For m individual values, there are m-1 ranges.
Next, the arithmetic mean of these values is calculated as
̅̅̅̅̅
∑
On a graph, the calculated moving ranges ( ) are
plotted. A line is added for the average value ̅̅̅̅̅ and
second line is plotted for the range upper control limit
(UCLr) and lower control limit (LCLr). The plotted moving
range and Individual Control chart shown in figure 1 and 2.
Figure 1
Individual Control Chart
Process : Plasma cutting Instrument used : Steel Tape (837) Dimensions Variation
Sl.no Nesting No Part No. Measurement Required,
R(mm)
Actual, A
(mm)
X =A-R
1 5N8
11
05-TT1-W5-S Length 7780 7780 0
2 5N8
11
05-TT1-W5-S Width 2460 2453 -7
3 5N2 (N)
8
05-BS-W5-P Length 3590 3588 -2
4 5N2 (N)
8
05-BS-W5-P Width 1395 1395 0
5 5N18(M)
15
05-KNY1730-W1-S Width 1040 1044 4
6 5N18(M)
15
05-KNY3082-W1-S Length
Width
1040 1043 3
7 5N04
10.5
05-991-W2-P Width 873 868 -5
131118105927966534027141
5.0
2.5
0.0
-2.5
-5.0
-7.5
Observation
DimensionalVariation
_
X=0.38
UCL=4.23
LCL=-3.46
11
1
1
1
I CHART OF PLASMA CUTTING MACHINE
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014)
507
Figure 2
Moving Ranges Chart
The control rules are violated and show assignable
causes of variations at various regions of production
process.
The conclusions from the SPC study are;
• Process in plasma cutting machine are out of
control because five sample points of individual
X-bar chart of Plasma cutting process is outside
the control limit.
• Six points of MR chart of Plasma cutting are out
of control.
The above two conclusions from SPC study shows
assignable causes of variations. These assignable causes are
of larger in magnitude and are controllable in the cutting
process of the plates. The assignable causes are to be
eliminated from the production process to make the process
efficient. For that collected the different causes which have
the possibility on the effect of variation in accuracy of
plasma cutting process using brainstorming session. The
major causes are collected by detailed survey from
operators, supervisors and managers those are directly
involved in this process. Based on that cause and effect
diagram is constructed with possible causes which affect
the cutting accuracy and is shown in figure 3.
Figure 3 Cause And Effect Diagram
V. ANALYSIS OF ROOT CAUSES
Out of these possible causes the root cause which affects
the cutting accuracy is found out by testing the significance
of each cause on cutting dimensional variation. Table 2.
Shows the tabulated results of each possible cause and
there influence on cutting dimensional variations. From the
results, it can be concluded that load variation of input
power and variation in input design data are the two
significant factors affecting the cutting accuracy of plasma
cutting machine.
Exact root cause analysis is done using 5-why analysis.
Processes like plasma cutting voltage regulation, supply
frequency are important factors. In the shipyard 415 V, 50
Hz power supply is used as standard. Supply voltage
fluctuated depending on the load as well as the nature of
load. During peak working time it reduced to 370 V and at
light load it was in the range of 440 V. There is sudden dip
in voltage due to inductive loads like welding sets, coil
heaters, hoisting applications of crane etc.
131118105927966534027141
9
8
7
6
5
4
3
2
1
0
Observation
MovingRange
__
MR=1.415
UCL=4.624
LCL=0
111
1
1
1
MOVING RANGE CHART OF PLASMA CUTTING MACHINE
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014)
508
In shipyard rheostat type conventional Automatic
voltage Regulators (AVR) are used with the machine and
this device is not instantaneous type. Frequent variation in
supply voltage also changes in the control voltage there by
affecting the performance of the equipments and the cutting
accuracy. So by using 5-why analysis, one root cause was
identified as the use of conventional rheostat type AVR is
not capable to normalize the load output. Suggestion to
rectify this problem is a recently developed equipment in
power electronics with certain high efficient voltage
regulators using IGBT (insulated gate bipolar transistor),
SCR (Silicon controlled rectifier) etc. These devices are
static as well as instantaneous type. This devices offers 0.5
per cent voltage regulation. These regulators also known as
active regulators. Active regulators employ at least one
active (amplifying) component such as a transistor or
operational amplifier. Shunt regulators are often (but not
always) passive and simple, but always inefficient because
they (essentially) dump the excess current not needed by
the load. When more power must be supplied, more
sophisticated circuits are used. From the test results, the
second influencing cause which affects the cutting accuracy
of plasma machine is Variation in input design data.
In shipyard a software is used to design the ship
structure. Using conversion software the hull structure
design data is converted to G-code data which is plasma
machine programming language.
The conversion of design drawing of a plate to G-code is
done without considering the capability of the machine. In
shipyard, for cutting of plates of different thickness, same
80 ampere nozzle is used. The speed of cutting of the plate
in programme text file sometimes exceeds the maximum
speed that can be cut with 80 ampere nozzle. So Proper
calibration of design data, and good fit of these with
machine operating parameters, is required to minimize the
variation related to input design data.
Table II
Test Results Of Possible Causes
Possible
Causes
Test Conducted Test result Conclusion
Plate
parallarity
to cutting
table
Test 1: Trial taken 30
sample plate of 5 mm
thick
Dimensional
variation in 18
out of 30
Not
Influencing
Test 2: Trial taken 30
sample plate of 25
mm thick
Dimensional
variation in 20
out of 30
Slip of
drive belts
Test 1: Trial taken 30
sample plate before
maintenance
Dimensional
variation in 17
out of 30
Not
Influencing
Test 2: Trial taken 30
sample plate after
maintenance
Dimensional
variation in 18
out of 30
Current
load
variation
Test 1: Trial taken 30
sample plate during
working time
Dimensional
variation in 19
plates out of 30
Influencing
Test 2: Trial taken 30
sample plate during
lunch time
Dimensional
variation in 4
plates out of 30
plates
Use of
damaged
oval shape
nozzle
Test 1: Trial taken 30
sample plate with
damaged nozzle
Dimensional
variation in 16
plates out of 30
Not
Influencing
Test 2: Trial taken 30
sample plate with
new nozzle
Dimensional
variation in 18
plates out of 30
Variation in
input design
data
Test 1: Trial taken 30
sample plate with
design data doesn’t
match with machine
operating condition
Dimensional
variation in 10
plates out of 30
Influencing
Test 2: Trial taken 30
sample plate with
design data match
with machine
operating condition
Dimensional
variation in 2
plates out of 30
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014)
509
VI. CONCLUSIONS
For the implementation of accuracy control system in
shipbuilding a pilot study of dimensional control program
in plasma cutting machine was carried out. In order to
analyse the cutting accuracy of the machine, statistical
process control technique was used. Statistical process
control study using control charts are done to check
whether the process is controllable or not. Since the plate
cutting is not batch production, short run control charts
including individual control chart and moving range chart
were used instead of standard R chart and X bar chart.
Different samples went outside the control limit of both
charts and therefore, it can be concluded that the process is
out of control. It can be seen that assignable causes of
variations occur in production which makes the process out
of control.
Possible causes affecting the cutting accuracy are
collected using brainstorming technique and cause and
effect diagrams are drawn with these possible causes. The
major causes are identified from these possible causes by
testing each cause. From the test results it was concluded
that, there are two major causes which affect the cutting
accuracy. Load variation of input power and variation in
input design data are the two significant factors affecting
the cutting accuracy of plasma cutting machine.
Root cause for these major causes is found out using the
5-Why analysis. From the 5-Why analysis of input load
variation, the major factor which affects the cutting
accuracy is the inability of Automatic voltage Regulators to
normalize the power load. The main reason for this is the
AVR used in shipyard, which incidentally being an electro
mechanical AVR.
Since the rheostat used does not respond instantaneously
to fluctuation of loads, it is suggested to use recently
developed high efficient voltage regulators using IGBT
(insulated gate bipolar transistor) or SCR (Silicon
controlled rectifier). These devices are static as well as
instantaneous.
Second root cause was also found out using the 5-Why
analysis. The conversion of design drawing of a plate to G-
code is done without considering the capability of the
machine. In shipyard, for cutting plates of different
thickness, same 80 ampere nozzle is used. The speed of
cutting the plate in programme text file sometimes exceeds
the maximum speed that can be cut using 80 ampere nozzle.
So it is recommended that a proper calibration of design
data and good fit of these with machine operating
parameters are to be carried out for minimizing the
variation related to input design data.
REFERENCES
[1] Stephen Krajcsik. 1985.The Use of Statistical Methods in
Dimensional Process Control.
[2] Richard Lee Storch, Sethipong Anutarasoti. 1997. Use of Variation
Merging Equations to Aid Implementation of Accuracy Control,
NSRP 0532, 27-47.
[3] R.L. Storch, Jon R. Gribskov. 1985. Accuracy Control for U.S.
Shipyards, Journal of Ship Production. Vol. 1, No. 1.64-67.
[4] S.Anutarasoti. 1996. Short Run Statistical Process Control System
Development and Implementation in Shipbuilding. UW Master’s
Thesis.
[5] Howard M. Bunch. July 1993. North American Shipbuilding
Accuracy Phase II. NSRP 0371.
[6] L.D. Chirillo. February 1982. Process Analysis via Accuracy Control.
U.S. Department of Transportation, Maritime Administration.
[7] Richard Lee Storch. 2002. Accuracy control implementation manual.
NSRP.

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Design of an accuracy control system in ship building industry

  • 1. International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014) 504 Design of an Accuracy Control System in Ship Building Industry Eldho Paul1 , Deepak Eldho Babu2 , and Brijesh Paul3 1 PG Scholar, Department of Mechanical Engineering, Mar Athanasius College of Engineering, Kothamangalam, Kerala, India 2 Assistant Professor, 3 Associate Professor, Department of Mechanical Engineering, Mar Athanasius College of Engineering, Kothamangalam. Abstract— Accuracy Control System (ACS) in shipbuilding industries is proven to improve quality of product along with reduction in rework, production time and performance of finished product. This concept had been implemented in many shipyards worldwide especially in USA, Japan, and Europe. The present study deals with one of the leading shipyards in India. A Pilot study on the initial implementation of accuracy Control System was carried out in this shipyard. To achieve this high degree of unit accuracy, a pilot dimensional control program was carried out in the plasma cutting machine used in the preparation stage of production process. Through the collection and analysis of data, we can identify the necessary steps to control the quality of process. Based on these findings, a detailed proposal was submitted on how ACS can be initiated. It is inferred that with this recommendation, the quality of products can be improved, thereby reducing production cost and increasing competitiveness. Keywords—Accuracy Control, Control chart. Cause and Effect Diagram, Statistical process control, 5-why analysis. I. INTRODUCTION Ship production involves many stages of fabrication process namely preparation, subassembly, assembly, grant assembly, and erection. Throughout these processes it is expected that dimension variance could occur and if not managed properly it could cause dimensional problems which will lead to rework and delay. This problem can be controlled and minimized through good dimensional management practices like Accuracy Control. Accuracy control, which is based on statistical quality control, is defined as the reduction of variability in processes and products. In the shipbuilding industry, accuracy control means the use of statistical techniques to monitor, control and continuously improve shipbuilding design details and work methods so as to reduce variation and maximize productivity. [3] For successful implementation of an accuracy control program, it is necessary to verify that processes are under control or not. If processes are not under control, steps must be taken to eliminate identifiable influences. The steps include preparation of sampling plan, data collection and analysis of the data. Once this data is collected and analyzed, shipyards can assess their own quality levels and initiate improvement actions where necessary. If industry averages for equivalent processes are known, shipyards can compare their process variations with these average or normal process variation levels to help judge the success of their accuracy control programs. [6] II. PROBLEM DEFINITION Ship building involves different stages. Interim products at each stage of construction are used for further work in the next stage. [2] During our preliminary study it was identified that in sub assembly stage most of the time is spent for non-productive adjustment and reworks. The main reason for this is the variation in accuracy of previous plasma cutting stage. This study aims to improve the accuracy of plasma cutting machine, thereby eliminating the non-productive works in the sub assembly stage of ship building. III. LITERATURE REVIEW In accuracy control theory, one of the most important technical tools is statistical process control (SPC). Instead of inspecting for quality after production, SPC focuses on online statistical quality control. In fact, SPC not only controls the process, but also has the capability to improve the process as well. Through analysing data from the process itself, SPC can be used as a powerful tool for reducing process variability and achieving process stability. Among all seven SPC tools, including Flowchart, Check Sheet, Pareto Diagram, Cause-and–Effect Diagram, Scatter Plot, Histogram and Control Chart, the Control Chart is considered as the most powerful one. Before exploring the different Control Chart’s it is necessary to review two basic types of factors that may affect the production process. [7] Shewhart control charts are thought of as the most popular tool used in statistical quality control. Control charts are used to distinguish between common causes and special causes.
  • 2. International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014) 505 When the process is not running consistently, the existence of special causes of variation can be detected. Control charts have had a long history of use in industry. A. Control Charts for Individuals There are many situations in which the sample size used in monitoring the process has just one unit, n=1. Plate cutting in plasma machine is an example of this type of process. In these types of situations, the control chart for individual units is often extremely useful. In many instances when using this type of control chart, the moving range of two successive observations as the basis for estimating the process variability is used. The moving range is defined as, = | xi – xi-1| After developing the moving range, a control chart can then be built from this. [7] B. Short-Run Control Chart Standard control charts can be easily applied in manufacturing processes where a large number of identical parts are being produced. However, shipbuilding is often a one of a kind production industry, which means that batch sizes are very small, sometimes only one. For this situation, short run control charts were developed and are in common use today. The difference between short run control charts and the standard control chart is, in the short run control chart, the measured quality characteristics values are replaced by deviation from nominal or target value. This can be expressed in the form of the following equation. [2] Where, = i th actual sample measurement of the quality characteristic of w, = Nominal value of the quality characteristic of w, = Deviation of the actual measurement from nominal of the i th sample of quality characteristic w. Control charts are used to plot the values obtained by process sampling. Here X-bar – Moving Range (MR) charts are used because it involves plates with different dimensions and measurements are carried out at different time. Historically control charts are applied in manufacturing where a large number of identical parts are being produced. With the general trend toward product customization, batch sizes are significantly reduced, sometimes even to one. Consequently, the short run control chart was developed and is in common use for these situations [2]. Applying the principal of X-bar and R control charts to short run production, the measured quality characteristic is replaced by deviation from nominal. Variation between required and actual dimensions of the plate after cutting was collected and tabulated in the table 1. The purpose of the control chart is to act as a visual aid whether the process is in control or out of control. If values fall outside the control limits, the cause must be determined, a decision on rework must be taken, and a correction should be made to eliminate the problem causing the variation. So here two Control charts for variables are used; • Individual short run control chart • Moving average range chart IV. METHODOLOGY In order to find the out major factors in plasma cutting which results in rework in subassembly stage, a sample of cut plate is taken and the main parameters which affect the quality of cut plate are listed. These are, • Cutting accuracy • Cut edge roughness • Cut edge squareness • Dross The data with regard to number of times these factors cause rework is plotted in the form of a Pareto chart, so as to identify the main causes of rework. It is found out that the variation in cutting accuracy of cut plate is the main reason for rework in subassembly stage.
  • 3. International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014) 506 Table I Tabulated Sample Of Plate Dimensions A. Analysis of Cutting Accuracy Steel plates required for ship building are mainly cut in CNC plasma cutting machine. Dimensions of plates cut by the machine using the process of plasma cutting is taken to analyze the cutting accuracy. Measurements were taken manually using a steel tape (837). The design and the measured dimensions were noted for the plasma cut components. The accuracy control check sheets are the medium on which all data are recorded. In this check sheet the different dimensions of the plate after cutting were noted, and it is compared with the required dimensions of the plate from design nesting diagram. The variation from the required dimension is also noted in the check sheet and tabulated (sample check sheet shown in Table 1). From the random sample of plate dimensions, control charts are prepared. B. Calculation of Individuals Control Limits and Moving Range The average of the individual values (variations) is calculated using this equation. ̅ ∑ The difference between variation data points in table xi and its predecessor xi-1, is calculated as, = | | For m individual values, there are m-1 ranges. Next, the arithmetic mean of these values is calculated as ̅̅̅̅̅ ∑ On a graph, the calculated moving ranges ( ) are plotted. A line is added for the average value ̅̅̅̅̅ and second line is plotted for the range upper control limit (UCLr) and lower control limit (LCLr). The plotted moving range and Individual Control chart shown in figure 1 and 2. Figure 1 Individual Control Chart Process : Plasma cutting Instrument used : Steel Tape (837) Dimensions Variation Sl.no Nesting No Part No. Measurement Required, R(mm) Actual, A (mm) X =A-R 1 5N8 11 05-TT1-W5-S Length 7780 7780 0 2 5N8 11 05-TT1-W5-S Width 2460 2453 -7 3 5N2 (N) 8 05-BS-W5-P Length 3590 3588 -2 4 5N2 (N) 8 05-BS-W5-P Width 1395 1395 0 5 5N18(M) 15 05-KNY1730-W1-S Width 1040 1044 4 6 5N18(M) 15 05-KNY3082-W1-S Length Width 1040 1043 3 7 5N04 10.5 05-991-W2-P Width 873 868 -5 131118105927966534027141 5.0 2.5 0.0 -2.5 -5.0 -7.5 Observation DimensionalVariation _ X=0.38 UCL=4.23 LCL=-3.46 11 1 1 1 I CHART OF PLASMA CUTTING MACHINE
  • 4. International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014) 507 Figure 2 Moving Ranges Chart The control rules are violated and show assignable causes of variations at various regions of production process. The conclusions from the SPC study are; • Process in plasma cutting machine are out of control because five sample points of individual X-bar chart of Plasma cutting process is outside the control limit. • Six points of MR chart of Plasma cutting are out of control. The above two conclusions from SPC study shows assignable causes of variations. These assignable causes are of larger in magnitude and are controllable in the cutting process of the plates. The assignable causes are to be eliminated from the production process to make the process efficient. For that collected the different causes which have the possibility on the effect of variation in accuracy of plasma cutting process using brainstorming session. The major causes are collected by detailed survey from operators, supervisors and managers those are directly involved in this process. Based on that cause and effect diagram is constructed with possible causes which affect the cutting accuracy and is shown in figure 3. Figure 3 Cause And Effect Diagram V. ANALYSIS OF ROOT CAUSES Out of these possible causes the root cause which affects the cutting accuracy is found out by testing the significance of each cause on cutting dimensional variation. Table 2. Shows the tabulated results of each possible cause and there influence on cutting dimensional variations. From the results, it can be concluded that load variation of input power and variation in input design data are the two significant factors affecting the cutting accuracy of plasma cutting machine. Exact root cause analysis is done using 5-why analysis. Processes like plasma cutting voltage regulation, supply frequency are important factors. In the shipyard 415 V, 50 Hz power supply is used as standard. Supply voltage fluctuated depending on the load as well as the nature of load. During peak working time it reduced to 370 V and at light load it was in the range of 440 V. There is sudden dip in voltage due to inductive loads like welding sets, coil heaters, hoisting applications of crane etc. 131118105927966534027141 9 8 7 6 5 4 3 2 1 0 Observation MovingRange __ MR=1.415 UCL=4.624 LCL=0 111 1 1 1 MOVING RANGE CHART OF PLASMA CUTTING MACHINE
  • 5. International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014) 508 In shipyard rheostat type conventional Automatic voltage Regulators (AVR) are used with the machine and this device is not instantaneous type. Frequent variation in supply voltage also changes in the control voltage there by affecting the performance of the equipments and the cutting accuracy. So by using 5-why analysis, one root cause was identified as the use of conventional rheostat type AVR is not capable to normalize the load output. Suggestion to rectify this problem is a recently developed equipment in power electronics with certain high efficient voltage regulators using IGBT (insulated gate bipolar transistor), SCR (Silicon controlled rectifier) etc. These devices are static as well as instantaneous type. This devices offers 0.5 per cent voltage regulation. These regulators also known as active regulators. Active regulators employ at least one active (amplifying) component such as a transistor or operational amplifier. Shunt regulators are often (but not always) passive and simple, but always inefficient because they (essentially) dump the excess current not needed by the load. When more power must be supplied, more sophisticated circuits are used. From the test results, the second influencing cause which affects the cutting accuracy of plasma machine is Variation in input design data. In shipyard a software is used to design the ship structure. Using conversion software the hull structure design data is converted to G-code data which is plasma machine programming language. The conversion of design drawing of a plate to G-code is done without considering the capability of the machine. In shipyard, for cutting of plates of different thickness, same 80 ampere nozzle is used. The speed of cutting of the plate in programme text file sometimes exceeds the maximum speed that can be cut with 80 ampere nozzle. So Proper calibration of design data, and good fit of these with machine operating parameters, is required to minimize the variation related to input design data. Table II Test Results Of Possible Causes Possible Causes Test Conducted Test result Conclusion Plate parallarity to cutting table Test 1: Trial taken 30 sample plate of 5 mm thick Dimensional variation in 18 out of 30 Not Influencing Test 2: Trial taken 30 sample plate of 25 mm thick Dimensional variation in 20 out of 30 Slip of drive belts Test 1: Trial taken 30 sample plate before maintenance Dimensional variation in 17 out of 30 Not Influencing Test 2: Trial taken 30 sample plate after maintenance Dimensional variation in 18 out of 30 Current load variation Test 1: Trial taken 30 sample plate during working time Dimensional variation in 19 plates out of 30 Influencing Test 2: Trial taken 30 sample plate during lunch time Dimensional variation in 4 plates out of 30 plates Use of damaged oval shape nozzle Test 1: Trial taken 30 sample plate with damaged nozzle Dimensional variation in 16 plates out of 30 Not Influencing Test 2: Trial taken 30 sample plate with new nozzle Dimensional variation in 18 plates out of 30 Variation in input design data Test 1: Trial taken 30 sample plate with design data doesn’t match with machine operating condition Dimensional variation in 10 plates out of 30 Influencing Test 2: Trial taken 30 sample plate with design data match with machine operating condition Dimensional variation in 2 plates out of 30
  • 6. International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 4, Issue 6, June 2014) 509 VI. CONCLUSIONS For the implementation of accuracy control system in shipbuilding a pilot study of dimensional control program in plasma cutting machine was carried out. In order to analyse the cutting accuracy of the machine, statistical process control technique was used. Statistical process control study using control charts are done to check whether the process is controllable or not. Since the plate cutting is not batch production, short run control charts including individual control chart and moving range chart were used instead of standard R chart and X bar chart. Different samples went outside the control limit of both charts and therefore, it can be concluded that the process is out of control. It can be seen that assignable causes of variations occur in production which makes the process out of control. Possible causes affecting the cutting accuracy are collected using brainstorming technique and cause and effect diagrams are drawn with these possible causes. The major causes are identified from these possible causes by testing each cause. From the test results it was concluded that, there are two major causes which affect the cutting accuracy. Load variation of input power and variation in input design data are the two significant factors affecting the cutting accuracy of plasma cutting machine. Root cause for these major causes is found out using the 5-Why analysis. From the 5-Why analysis of input load variation, the major factor which affects the cutting accuracy is the inability of Automatic voltage Regulators to normalize the power load. The main reason for this is the AVR used in shipyard, which incidentally being an electro mechanical AVR. Since the rheostat used does not respond instantaneously to fluctuation of loads, it is suggested to use recently developed high efficient voltage regulators using IGBT (insulated gate bipolar transistor) or SCR (Silicon controlled rectifier). These devices are static as well as instantaneous. Second root cause was also found out using the 5-Why analysis. The conversion of design drawing of a plate to G- code is done without considering the capability of the machine. In shipyard, for cutting plates of different thickness, same 80 ampere nozzle is used. The speed of cutting the plate in programme text file sometimes exceeds the maximum speed that can be cut using 80 ampere nozzle. So it is recommended that a proper calibration of design data and good fit of these with machine operating parameters are to be carried out for minimizing the variation related to input design data. REFERENCES [1] Stephen Krajcsik. 1985.The Use of Statistical Methods in Dimensional Process Control. [2] Richard Lee Storch, Sethipong Anutarasoti. 1997. Use of Variation Merging Equations to Aid Implementation of Accuracy Control, NSRP 0532, 27-47. [3] R.L. Storch, Jon R. Gribskov. 1985. Accuracy Control for U.S. Shipyards, Journal of Ship Production. Vol. 1, No. 1.64-67. [4] S.Anutarasoti. 1996. Short Run Statistical Process Control System Development and Implementation in Shipbuilding. UW Master’s Thesis. [5] Howard M. Bunch. July 1993. North American Shipbuilding Accuracy Phase II. NSRP 0371. [6] L.D. Chirillo. February 1982. Process Analysis via Accuracy Control. U.S. Department of Transportation, Maritime Administration. [7] Richard Lee Storch. 2002. Accuracy control implementation manual. NSRP.