R1 and R2 were the wrong way round in the diagrams.

Now they are the same way around as the paper.
This commit is contained in:
Robin Clark 2011-10-04 18:11:51 +01:00
parent a1e8a1ef63
commit ab6db72de9
4 changed files with 31 additions and 24 deletions

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@ -88,9 +88,9 @@ For the sake of example let us choose resistor R1 in the OP-AMP gain circuitry.
\begin{frame}
\frametitle{FMEA Example: Milli-volt reader}
\begin{itemize}
\pause \item \textbf{F - Failures of given component} The resistor could fail by going OPEN or SHORT (EN298 definition).
\pause \item \textbf{F - Failures of given component} The resistor (R1) could fail by going OPEN or SHORT (EN298 definition).
\pause \item \textbf{M - Failure Mode} Consider the component failure mode SHORT
\pause \item \textbf{E - Effects} This will drive the minus input HIGH causing a LOW OUTPUT/READING
\pause \item \textbf{E - Effects} This will drive the minus input LOW causing a HIGH OUTPUT/READING
\pause \item \textbf{A - Analysis} The reading will be out of normal range, and we will have an erroneous milli-volt reading
\end{itemize}
\end{frame}
@ -287,7 +287,7 @@ will return most cost benefit.
\label{fig:f16missile}
\end{figure}
Emphasis on determining criticallity of failure.
Applies some baysian statistics (probabilities of component failues and those causing given system level failures).
Applies some Bayesian statistics (probabilities of component failures and those causing given system level failures).
\end{frame}
@ -304,9 +304,9 @@ This will typically be the failure rate per million ($10^6$) or
billion ($10^9$) hours of operation.
\textbf{FMECA $\alpha$ value.}
The failure mode probability, usually dentoted by $\alpha$ is the probability of
The failure mode probability, usually denoted by $\alpha$ is the probability of
is the probability of a particular failure
mode occuring within a component.
mode occurring within a component.
%, should it fail.
%A component with N failure modes will thus have
%have an $\alpha$ value associated with each of those modes.
@ -318,7 +318,7 @@ mode occuring within a component.
\textbf{FMECA $\beta$ value.}
The second probability factor $\beta$, is the probability that the failure mode
will cause a given system failure.
This corresponds to `Baysian' probability, given a particular
This corresponds to `Bayesian' probability, given a particular
component failure mode, the probability of a given system level failure.
\textbf{FMECA `t' Value}
@ -367,7 +367,7 @@ safety Integrity.
FMEDA does force the user to consider all components in a system
by requiring that a MTTF value is assigned for each failure~mode.
This MTTF may be statistically mitigated (improved)
if it can be shown that selfchecking will detect failure modes.
if it can be shown that self-checking will detect failure modes.
\end{frame}
\begin{frame}
@ -378,7 +378,7 @@ The Failure modes are also classified as Detected or
Undetected.
This gives us four level failure mode classifications:
Safe-Detected (SD), Safe-Undetected (SU), Dangerous-Detected (DD) or Dangerous-Undetected (DU),
and the probablistic failure rate of each classification
and the probabilistic failure rate of each classification
is represented by lambda variables
(i.e. $\lambda_{SD}$, $\lambda_{SU}$, $\lambda_{DD}$, $\lambda_{DU}$).
\end{frame}
@ -516,6 +516,9 @@ judged to be in critical sections of the product.
\end{frame}
\subsection{FMEA - Better Metodology - Wish List}
\begin{frame}
\frametitle{FMEA - Better Metodology - Wish List}
@ -525,7 +528,7 @@ judged to be in critical sections of the product.
\pause \item Rigorous
\pause \item Reasoning Traceable
\pause \item re-useable
\pause \item
%\pause \item
\end{itemize}
%FMEDA is a modern extension of FMEA, in that it will allow for
@ -568,21 +571,25 @@ This creates an analysis hierarchy.
\frametitle{FMMD - Outline of Methodology}
\begin{itemize}
\pause \item Select `{\fgs}' of components ( groups that perform a well defined function).
\pause \item Analyse the failure mode behaviour of a {\fg}.
\pause \item Collect the failures into Symptoms.
\pause \item Create a '{\dc}', where its failure modes are the symptoms of the {\fg} it was derived from.
\pause \item The {\dc} is now available to be used in higher level {\fgs}.
\pause \item Using the failure modes of the components create failure scenarios.
\pause \item Analyse each failure scenario of the {\fg}.
\pause \item Collect Symptoms.
\pause \item Create a '{\dc}', where its failure modes are the symptoms of the {\fg} it was derived from.
\pause \item The {\dc} is now available to be used in higher level {\fgs}.
\end{itemize}
\end{frame}
\subsection{example}
\subsection{FMMD - Example - Milli Volt Amplifier}
\begin{frame}
\frametitle{FMMD - Example - Milli Volt Amplifier}
We can begin to analyse this by looking for functional groups.
We can return to the milli-volt amplifier as an example to analyse.
We can begin by looking for functional groups.
The resistors would together to perform a fairly common function in electronics, that of the potential divider.
We can now take the failure modes for the resistors (OPEN and SHORT EN298) and see what effect each of these failures will have on the {\fg}.
So our first functional group is $\{ R1, R2 \}$.
We can now take the failure modes for the resistors (OPEN and SHORT EN298) and see what effect each of these failures will have on the {\fg} (the potential divider).
\begin{figure}
\centering
\includegraphics[width=100pt]{./mvampcircuit.png}
@ -854,7 +861,7 @@ type analysis methods 19440.
\begin{frame}
\frametitle{FMMD - Failure Mode Modular De-Composition}
Note that for all possible double simultaneous failures the equation~\ref{eqn:fmea_state_exp} becomes
Note that for all possible double simultaneous failures the equation~\ref{eqn:fmea_state_exp2} becomes
equation~\ref{eqn:fmea_state_exp2} essentially making the order $N^3$.
The FMMD case (equation~\ref{eqn:anscen2}), is cubic within the functional groups only,
not all the components in the system.
@ -873,17 +880,17 @@ not all the components in the system.
\begin{frame}
\frametitle{FMMD - Failure Mode Modular De-Composition}
\textbf{traceability}
\textbf{Traceability}
Because each reasoning stage contains associations ($FailureMode \mapsto Sypmtom$)
we can trace the `reasoning' from base level component failure mode to top level/system
failure, by traversing the tree/hierarchy. This is in effect documenting the framework of the reasoning.
failure, by traversing the tree/hierarchy. This is in effect providing a `framework' of the reasoning.
\end{frame}
\begin{frame}
\frametitle{FMMD - Failure Mode Modular De-Composition}
\textbf{re-usability}
\textbf{Re-usability}
Electronic Systems use commonly re-used functional groups (such as potential~dividers, amplifier configurations etc)
Once a derived component is determined, it can generally be used in other projects.
@ -892,7 +899,7 @@ Once a derived component is determined, it can generally be used in other projec
\begin{frame}
\frametitle{FMMD - Failure Mode Modular De-Composition}
\textbf{total coverage}
\textbf{Total coverage}
With FMMD we can ensure that all component failure modes
have been represented as a symptom in the derived components created from them.
We can thus apply automated checking to ensure that no
@ -909,9 +916,9 @@ missed in an analysis.
\begin{itemize}
\pause \item Addresses State Explosion
\pause \item Addresses total coverage of all cooomponents and their failure modes
\pause \item Provides tracable reasoning
\pause \item derived components are re-useable
\pause \item Addresses total coverage of all components and their failure modes
\pause \item Provides traceable reasoning
\pause \item derived components are re-use-able
\end{itemize}
\end{frame}

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