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state exposion estimation

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Robin Clark 2011-09-18 11:16:14 +01:00
parent 768d2f3ef0
commit c91f974d89
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fmmd_concept/System_safety_2011/state_exp.tex
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@ -112,7 +112,7 @@ $$
%\end{equation} %\end{equation}
$$ $$
Thud for FMMD we needed to examine 720 failure mode scenarios, and for traditional FMEA Thus for FMMD we needed to examine 720 failure mode scenarios, and for traditional FMEA
type analysis methods 19440. type analysis methods 19440.
% In practical example followed through, no more than 9 components have ever been required for a functional % In practical example followed through, no more than 9 components have ever been required for a functional
% group and the largest known number of failure modes has been 6. % group and the largest known number of failure modes has been 6.
@ -123,7 +123,7 @@ type analysis methods 19440.
\clearpage \clearpage
Note that for double simultaneous failures the equation~\ref{eqn:fmea_state_exp} becomes Note that for double simultaneous failures the equation~\ref{eqn:fmea_state_exp} becomes
equation~\ref{eqn:fmea_state_exp2} essentially making the order $N^3$. equation~\ref{eqn:fmea_state_exp2} essentially making the order $N^3$.
The FMMD case is cubic within the functional groups only, not all the components in the system. The FMMD case (equation~\ref{eqn:anscen2}), is cubic within the functional groups only, not all the components in the system.
\begin{equation} \begin{equation}
@ -132,6 +132,10 @@ The FMMD case is cubic within the functional groups only, not all the components
%(N^2 - N).cfm %(N^2 - N).cfm
\end{equation} \end{equation}
\begin{equation}
\label{eqn:anscen2}
\sum_{n=0}^{L} {fgn}^{n}.fgn.cfm.(fgn-1).(fgn-2)
\end{equation}
\end{document} \end{document}