Ring frame end breakage distribution
Control of end breakage rate is the prime requirement for getting better ring frame performance and for achieving higher spindle speed, an improved method of testing significance of end breakage by any action without being influenced by day-to-day fluctuations.
Control of end breakage rate at ring
 frame is the first step for improving ring frame productivity. It not 
only leads to ends down loss but also restricts spindle speed. Ends-down
 denotes those spindles where end has broken and is waiting for piecer 
to mend it. Ends-down loss is given by:
d = e X 0.75 t
Where,
d = ends down %
e = end breakage rate (breaks/100 spdl hrs)
t = patrol time of piecer in hrs
Further patrol time of piecer also 
increases with end breakage rate. As a result ends-down loss increases 
exponentially with increase in end breakage rate as shown in Figure 1.
In addition if end breakage rate 
goes beyond manageable levels, idle spindles will increase. Tenter 
(piecer) will make those spindles, where breaks occur repeatedly, as 
idle.
Repeated occurrence of end breaks in
 a few spindles is often cited as reason for poor ring frame 
performance. Ridgy build of bobbin, as shown in Figure 2, will be found 
on spindles where repeated end breaks occur.
Roller lapping also increases with 
increase in end breakage rate. Since roller lapping involves higher time
 for mending, patrol time of the tenter increases and results in more 
ends down %. Some studies were therefore undertaken to find out the 
distribution followed by end breakages under different conditions and 
compare it with theoretical. An improved method for assessing the 
significance of improvements in end breakage rate by any action is also 
proposed.
End Breakage Distribution
End breakage occurrence being a rare
 occurrence, distribution of end breakage rate can be expected to follow
 Poisson distribution. In actual practice distribution differs from 
Poisson due to variety of reasons like 1. Variability in probability of 
breaks from spindle to spindle, 2. Disturbances and defects in spindles 
3. Day-to-day variability in mixing 4. disturbances in working of 
preparatory 5. Poor maintenance 6. Variability in R.H. temperature. A 
study of distribution of end breakage rate will provide useful clues in 
regard to the quality of maintenance and process control.
Spindle Speed
Closeness of fit of end breakage 
distribution to Poisson depends on conditions of spinning. End breakage 
distribution was determined on 80s combed yarn on a ring frame spun on 
normal and 20% higher spindle speed. Actual distribution was compared 
with Poisson in Figures 3 and 4 under these conditions. Actual 
distribution is close to Poisson at normal spindle speed (Figure 3). 
When spindle speed is increased not only end breaks increases but also 
departure from Poisson is very marked (Figure 4). 
Another study was conducted by ‘over
 spinning’ the mixing to 100s and determining end breakage distribution 
(Figure 5). End breakage distribution again deviates markedly from 
Poisson in 100s. This leads to the inference that the differences 
between spindles (in regard to probability of breaks) becomes more 
pronounced when spinning conditions become critical. This arises from 
disturbances in settings, defects in parts and back material variations.
 The yarn spun on spindles with repeated occurrence of breaks is found 
to be consistently finer in count than that on spindles without breaks. 
High occurrence
of end breaks is because of lower 
yarn strength at the front nip in these spindles because of finer count.
 So high count variation is one of the reasons for repeated end breaks.
End breakage distributions in well 
maintained and poorly maintained ring frame sections on the same count 
and spindle speed were determined and are given in Figures 6 and 7. 
Distribution as per Poisson is also plotted. End breakage distribution 
deviates markedly from Poisson in poorly maintained section (Section 1 
Figure 7). While no spindles give more than 4 breaks in section 2, as 
many as 1.85% spindles give breaks more than 4 in section 1. These 
breaks obviously come from disturbances and defects in spindles, rings 
and drafting system on these spindles. 
This shows that clues to quality of 
maintenance can be obtained by comparing actual end breakage 
distribution with ideal. Ring expert data system by Uster is a useful 
attachment to ring frames as it gives spindle wise distribution of end 
breakages. A sensor moves along the whole length of the frame close to 
the traveler and detects without contact movement of traveler. When an 
end has broken traveler will not be rotating and will be detected by 
sensor as an end break. The equipment gives end breakage rate 
distribution spindle wise and indicates the ‘rogue’ spindles, which give
 repeated end breaks. Similar online systems have been developed by 
other manufacturers like Premier.
Common causes for repeated end-breaks on a few spindles are:
1. Ring frame defects and disturbances
2. Preparatory deficiencies
Ring frame defects
1. Disturbed spindle centering is one of the major causes of repeated occurrence of end breaks. This arises because: 
1. Spindle centering schedule is not followed strictly 
2. Proper gauges and lighting is not available. Painting top of the gauge white and use of a portable
light help to improve accuracy. Electronic spindle gauge can help to reduce subjectivity but requires training.
3. Vibrating spindles and bobbins
4. Worn out rings, spindles and lappets
5. Defective cradle retention spring. Cradle stays in a lifted condition resulting in poor control over fibres.
6. Low top roller pressure, This can arise from worn out hose pipe or plunger or disturbed height setting.
7. Missing bottom apron. Sufficient 
number of spare aprons should be kept in each staff to facilitate prompt
 replacement of broken apron.
Defects and disturbances in preparatory
Long thin places in roving due to 
sliver splittiing in the creel or partial lapping on roller at speed 
frame and draw frame. Disturbed working in preparatory like roller 
lapping or frequent breaks.
Proposed method to estimate improvement
High day to day and time to time 
within a day variability in end breakages comes as a major impediment in
 drawing definite conclusions about any actions taken. Proper 
methodology to be followed in designing experiments to assess 
improvements in end breakages from any action is first discussed. An 
improved statistical test which will help to detect differences to a 
greater accuracy without being affected by day to day variations is 
proposed. Examples are given from actual studies to explain this method 
and bring home its usefulness in interpretation of results. Though the 
discussion has been restricted to ring frame end breakages, the same 
principle will hold for breakages in other processes as well.
Experimental Design
The two sources of variability in end breakages that should be taken into account while designing experiment are: 
1. Day to day and shift to shift variations
2. Machine to machine variations. 
It is therefore imperative that the 
two parameters or materials to compared are allowed to run on a pair of 
ring frames “side by side” and simultaneous study of end breakages is 
taken to cover all doff positions more than once. Machine difference can
 be taken care of by interchanging the variables between the machines. 
An even better method for overcoming the machine effect is to carry out 
the experiments on more than one pair of machines.
Analysis of results
To facilitate statistical analysis, 
the results are divided into units, each of one day or shorter duration.
 In the usual method, standard deviation and standard error are 
estimated from the unit test results, from which standard error of 
difference is calculated. This method has the drawback that this 
overestimates the variability in difference of end breakages because of 
day-to-day to variations. Day to day fluctuations not only increase 
variability of end breakages but also causes the breaks in the two 
experimental set ups (normal and modified) to move up and down in 
unison. The difference in end breakages on the other hand is not 
affected to the same extent by day-to-day variations.
A better method under such 
conditions would be to calculate the difference in end breakage rate for
 each unit test and estimate the standard deviation and standard error 
of the same and check the average difference against this to find the 
significance. Even if statistical test is not done, such a method will 
show from visual examination the likelihood of the difference being 
real. If the difference in unit tests is of the same sign in most of the
 tests, the difference is more likely to be a real one and not a 
‘chance’ one.
The following examples will help to substantiate the merit of this method:
Ring Cleaning
Ring frame performance gets affected
 by deposition of wax, fly, dirt and metallic substances over a period 
of working and ring cleaning at periodic intervals is suggested to 
overcome this. To assess the improvements from ring cleaning two ring 
frames were chosen. Rings on one side of each frame was cleaned while no
 action was taken on rings of other side. Simultaneous study of end 
breakages was done on cleaned and normal side of ring frames for a 
period of 9 days, with 3 hours study each day. The average end breakage 
rate for the two sides for the 9 days are given in Table 1 and Figure 8.
In the normal method, SD of breakage
 rate for ‘cleaned’ and ‘normal’ sides are calculated separately from 
which SE of difference was estimated. In the improved method, difference
 in breakage rate between sides for each day is computed from which SD 
and SE of difference is calculated. ‘t’ value for each method is 
calculated and is given in last row. SE of difference of a lower order 
and ‘t’ value of higher order is found with improved method compared to 
normal method. 
As a result, reduction in end 
breakages by ring cleaning comes out to be significant at a higher level
 of confidence limit with the improved method. This is because 
day-to-day variations in ring frame performance affect ‘cleaned’ and 
‘normal’ sides equally. As a result, end breakage rate on both sides 
move up and down in unison. On days when ring frame performance is poor,
 both sides tend to give a higher breakage rate. This will be amply 
clear from Figure 8.
It is well-known that
σ(y-x)2 = σx2 + σy2 - 2 σx σy r
where σy-x = Standard deviation of difference y-x
σx = Standard deviation of x
σy = Standard deviation of y
r = Correlation coefficient between x and y
Since a positive correlation exists between x and y, σ(y-x)2 is lower than (σx2 + σy2). The positive correlation is because day-to-day fluctuations in breakage have equal influence on x
and y. When values of σx, σy and r are substituted in the above equation, a value for σy-x
in agreement with that by improved method is obtained.
Better Carding
In the 2nd example, 
carding quality was improved on selected card by increasing cylinder and
 lickerin speeds. The material was channelised separately and creeled on
 one side of two ring frames with other side working with normal 
material. End breakages were compared on the two sides for 10 days with 3
 hrs study each day. The results are shown plotted in Figure 9.
Figure 9 shows that not only end breakages are reduced by higher cylinder and lickerin speed but
also that end breakages by the two set-ups go up and down in unison. 
Standard deviation (SD), Standard 
error (SE) and ‘t’ values for the end breaks with normal and improved 
carding are given in Table 3.
Standard error of difference is 
lower and ‘t’ value higher by the improved method compared to normal 
method. Once again this is because of the high positive correlation 
between end breaks for the two carding conditions.
Make of ring frame
Third example compares the end 
breakage rates in two makes of high-speed ring frames fed by the same 
back material. Comparison of breakages rates over a period of 10 days is
 shown in Figure 10.
Standard deviation (SD), Standard error (SE) and ‘t’ values are given for the end breaks between
two groups of ring frames in Table 4.
Figure 10 shows that end breakage rate is lower on ring frame make II on all but one day. Table 4
once again demonstrates the 
superiority of improved method in bringing out the significance of 
between the two makes, which is of finer order The difference between 
the two makes is statistically significant only when improved method is 
used.
Possibilities of reducing end breaks in ring spinning
To reduce end breaks, the following aspects should be taken into consideration:
I. Since end breakage in ring spinning is related to slippage of fibres at the spinning triangle as a result of peaks occurring in the spinning tension fibre, the grip at the front drafting rollers should be increased by having a higher top roller pressure. The use of softer cots also enhances the grip at the front rollers. If the total pressure on the rollers cannot be increased, the grip at the front rollersí nip can be improved by reducing the width of the cots.
II. A reduction in friction between ring and traveller could reduce the peak tension during the rotation of the traveller.
III. Measures should be taken to reduce the mass irregularity of yarn straight after carding.
IV. The width of the drafted ribbon at the front roller nip should be reduced
Conclusion
1. Control of end breakages is the 
prime requirement for keeping down efficiency losses and for achieving 
higher spindle speed. Repeated occurrence of end breaks in a few 
spindles is one of the major causes of high end breakage rate. End 
breakage distribution is a useful tool for detecting defective/disturbed
 spindles, which give high breakages. By taking corrective action on 
such spindles, overall ring frame performance can be improved. Extent of
 departure of distribution from theoretical
(Poisson) indicates the scope for 
process improvement. Online monitoring systems like Uster Ring data are 
useful in detecting spindles giving repeated end breaks.
2. Deviation of end breakage 
distribution from theoretical (Poisson) becomes more marked when 
spinning conditions are critical (high spindle speed or overspinning).
3. An improved method for checking 
significance of difference in end breakage rate brought about by any 
action is suggested. This method is less affected by day-to-day and 
shift to shift to shift fluctuations in breakages rates and brings out 
finer order of differences. Examples are given to demonstrate the 
superiority of this method.
Courtesy :   
N Balasubramanian,
Ex-Director, Bombay Textile Research Association (BTRA). 
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