Biomedical Engineering Reference
In-Depth Information
life when mean rank is 0.63 is the mean life (but only for the straight-line ideal); if you had to
straighten your line the actual mean life is given by Equation (12.3).
(12.3)
Actual mean eanlife(measured
t
@0
63)
o
Clearly this is invaluable information to the designer. If you have designed your device to
last for 100 uses then t o had better be >100! Let us reexamine the data in Table 12.1 and plot
these on the Weibull plot ( Figure 12.6 ).
Using Equation (12.2) we obtain t o :
(
180
− −
−−−
100 100
)(
80
)
t 0
100
(
180
100
)
(
100
80
)
73
uses
We now replot the data using the modified life values ( t - t o ) ( Figure 12.7 ).
If we now use the 0.63 mean rank and take the corresponding life value this gives us the
estimate of average life. In this case it corresponds to about 72 uses. To obtain the estimate of
actual average life we use Equation (12.3):
Actual average life
73
72
145
uses
The beauty of this type of analysis is that you can use your service data to constantly update
these three values. Clearly, while all is steady one is happy. If the values start to drop then
it must indicate something has changed and this could be your device, or the way it is being
Life
1 10
100
1000
180
=
Mean rank
100
=
80
0.1
Figure 12.6
Weibull plot for data in Table 12.1(b) .
 
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