5.35 Mean Time Between Failure Calculations The reliability of a piece of elec t

Question

5.35 Mean Time Between Failure Calculations The reliability of a piece of elec tronic equipment is usually measured in terms of Mean Time Between Failures (MTBF), where MTBF is the average time that the piece of equip- ment can operate before a failure occurs in it. For large systems contain- ing many pieces of electronic equipment, it is customary to determine the MTBFs of each component and to calculate the overall MTBF of the sys- tem from the failure rates of the individual components. If the system is structured like the one shown in Figure 5.12, every component must worlk

Explanation / Answer

Mean time Bpections owning events such as insetween Failure:

average time excludes the time spent waiting for repair,being repaired,being requalified,and other downing events such as inspections and preventive maintainence it is intended to measure only the time a system is available and

operating

MTBF=1/3(X0+X1+X2)

draw on the time plot for a repairable system

the points on the plot are the observed cumulative MTBF's.than values are calculated by the following equation

MTBF(t)=t/N(t)

t : t is the cumulative operating time

N(t) : N(t) is the observed number of failures by time t

Mean time between Replacements:

Tp R(Tp) + integral 0 to Tp X F(x)dx

integral 0 to Tp R(x)dx

Mean time with scheduled replacements:

integral 0 to Tp R(t)dt / 1-R(Tp).

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