Chapter 5 now has an introduction describing

the reason for each of the examples.
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Robin Clark 2012-06-09 17:29:31 +01:00
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This chapter demonstrates FMMD applied to This chapter demonstrates FMMD applied to
a variety of common electronic circuits including analogue/digital and electronics/software hybrids. a variety of common electronic circuits including analogue/digital and electronics/software hybrids.
In order to implement FMMD in practise, we review the basic concepts and processes of the methodology. %In order to implement FMMD in practise, we review the basic concepts and processes of the methodology.%
%Each example has been chosen to demonstrate
%FMMD applied to
The first section~\ref{sec:determine_fms} looks at how we determine failure mode sets for {\bcs} in the context of the standards %
The first section~\ref{sec:determine_fms} looks at how we determine failure mode sets for {\bcs} in the context of the safety standards
we are conforming to for our particular project. we are conforming to for our particular project.
%
We then have example FMMD analyses, the first looks at the inverting amplifier (see section~\ref{sec:invamp} using This is followed by several example FMMD analyses, the first analysing a common configuration of
an op-amp and two resistors, which demonstrates how the potential divider from the inverting amplifier (see section~\ref{sec:invamp}) using
~\ref{sec:chap4} can be re-used, but with provisos. an op-amp and two resistors, which demonstrates how the potential divider from section~\ref{subsec:potdiv}
%~\ref{sec:chap4}
Section~\ref{sec:twoopdiff} shows FMMD tackling a circuit where two op-amps are used can be re-used, but with provisos.
to create a differencing amplifier. Re-use of the potential divider model is discussed in the context of this circuit. %
Section~\ref{sec:diffamp} analyses a circuit where two op-amps are used
Section~\ref{sec:sallenkey} analyese a sallen-key low pass filter. to create a differencing amplifier.
This demonstrates FMMD being able to re-use the second order low pass structures Re-use of the potential divider model is discussed in the context of this circuit, where its re-use is appropriate in the first stage and
saving time for the analyst. not in the second.
%
Section~\ref{sec:bubba} shows FMMD tackling a circuit with a circular signal path. Section~\ref{sec:fivepolelp} analyes a sallen-key based five pole low pass filter.
This demonstrates FMMD being able to re-use the first Salen-Key {\dc}, thus
Section~\ref{sec:sigmadelta} shows FMMD tackling a circuit with mixed analogue and digital electronics. saving time and effort for the analyst.
%
Finally section~\ref{sec:pt100} demonstrates both statistical analysis for top level events Section~\ref{sec:bubba} shows FMMD tackling a circuit with a circular signal path---the `Bubba' oscillator---which uses
four op-amp stages with supporting components.
%
Section~\ref{sec:sigmadelta} shows FMMD analysing the sigma delta analogue to digital converter---which operates on mixed
analogue and digital signals.
%
Finally section~\ref{sec:Pt100} demonstrates both statistical analysis for top level events traced back to {\bc} failure modes
and the analysis of double simultaneous failure modes. and the analysis of double simultaneous failure modes.
% \section{Basic Concepts Of FMMD} % \section{Basic Concepts Of FMMD}
@ -800,7 +807,7 @@ and for the second analysis a CC of $8.(3-2)=16$.
\clearpage \clearpage
\section{Differencing Amplifier using two op-amps} \section{Differencing Amplifier using two op-amps}
\label{sec:diffamp}
\begin{figure}[h] \begin{figure}[h]
\centering \centering
\includegraphics[width=200pt]{CH5_Examples/circuit1001.png} \includegraphics[width=200pt]{CH5_Examples/circuit1001.png}
@ -1036,7 +1043,7 @@ to periodically switch in test signals in place of the input signal.}
\clearpage \clearpage
\section{Five Pole Low Pass Filer, using two Sallen~Key stages.} \section{Five Pole Low Pass Filer, using two Sallen~Key stages.}
\label{sec:fivepolelp}
\begin{figure}[h] \begin{figure}[h]
\centering \centering
@ -1303,7 +1310,8 @@ could be easily detected; the failure symptom $FilterIncorrect$ may be less obs
\clearpage \clearpage
\section{Op-Amp circuit 3} \section{Quad Op-Amp Oscillator}
\label{sec:bubba}
\begin{figure}[h] \begin{figure}[h]
\centering \centering
@ -1716,7 +1724,7 @@ of complexity comparison.
\section{Sigma Delta Analogue to Digital Converter.} %($\Sigma \Delta ADC$)} \section{Sigma Delta Analogue to Digital Converter.} %($\Sigma \Delta ADC$)}
\label{sec:sigmadelta}
The following example is used to demonstrate FMMD analysis of a mixed analogue and digital circuit (see figure~\ref{fig:sigmadelta}). The following example is used to demonstrate FMMD analysis of a mixed analogue and digital circuit (see figure~\ref{fig:sigmadelta}).
\begin{figure}[h] \begin{figure}[h]
\centering \centering