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Robin Clark 2011-01-10 16:46:14 +00:00
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9
component_failure_modes_definition/component_failure_modes_definition.tex
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@ -761,7 +761,7 @@ We can model this using an Euler diagram representation of
an example component with three failure modes $\{ B_1, B_2, B_3, OK \}$ see figure \ref{fig:combco}.
For the purpose of example let us consider $\{ B_2, B_3 \}$
to be intrinsically mutually exclusive, by $B_1$ to be independent.
to be intrinsically mutually exclusive, but $B_1$ to be independent.
This means the we have the possibility of two new combinations
$ B_1 \cap B_2$ and $ B_1 \cap B_3$.
We can represent these
@ -794,17 +794,18 @@ Thus for $P(B_1 \cap B_2) = P(B_1)P(B_2)$ and $P(B_1 \cap B_3) = P(B_1)P(B_3)$.
\end{figure}
We can now consider the shaded areas as new failure modes of the component.
We can now consider the shaded areas as new failure modes of the component (see figure \ref{fig:combco3}).
Because of the combinations, the probabilities for the failure modes
$B_1, B_2$ and $B_3$ will now reduce.
We can use the prime character ($/prime$), to represent the altered value for a failure mode, i.e.
We can use the prime character ($\; \prime \;$), to represent the altered value for a failure mode, i.e.
$B_1^\prime$ represents the altered value for $B_1$.
Thus
$$ P(B_1^\prime) = B_1 - P(B_1 \cap B_2) - P(B_1 \cap B_3)\; , $$
$$ P(B_2^\prime) = B_2 - P(B_1 \cap B_2) \; and $$
$$ P(B_3^\prime) = B_3 - P(B_1 \cap B_3) \; . $$
We now have two new component failure mode $B_4$ and $B_5$, shown in figure \ref{fig:combco3}.
We can express their probabilities as $P(B_4) = P(B_1 \cap B_3)$ and $P(B_5) = P(B_1 \cap B_2)$.
%%-

4
survey/survey.tex
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@ -4,12 +4,12 @@
\ifthenelse {\boolean{paper}}
{
\begin{abstract}
A survey of Static Failure Mode analysis Methodologies applicable to saefty critical systems.
A survey of Static Failure Mode analysis Methodologies applicable to safety critical systems.
\end{abstract}
}
{
\section{Overvew}
A survey of Static Failure Mode analysis Methodologies applicable to saefty critical systems.
A survey of Static Failure Mode analysis Methodologies applicable to safety critical systems.
}
There are four methodologies in common use for failure mode modelling.