Edit for CH4 and CH5 mainly
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@ -514,7 +514,7 @@ We now apply FMMD starting with the hardware.
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\section{Failure Mode effects Analysis}
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Four emerging and current techniques are now used to
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alpply FMEA to the hardware, the software, the software medium and the software hardware insterface.
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apply FMEA to the hardware, the software, the software medium and the software hardware insterface.
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\subsection{Hardware FMEA}
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@ -550,6 +550,9 @@ This would mean the symptom of the failed potential divider would be voltage hig
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\vbox{
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From table \ref{tbl:pdfmea} we can see that the resistor
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failures modes lead to some common symptoms.
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These common symptoms are an important concept for FMMD.
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It means that we can take multiple failure modes from a {\fg} and resolve them
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to a a common symptom. This means that we simplify the FMEA analysis task for further stages.
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By drawing directed edges from the failure modes to the symptoms,
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we can show the relationships between the component failure modes and resultant symptoms.
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%The {\fg} can now be considered a derived component.
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@ -605,7 +608,7 @@ This {\dc} will have two failure modes.
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We use the symbol $\derivec$ to represent the process of taking the analysed
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{\fg} and creating from it a {\dc}. The creation of the {\dc} \textbf{PD} is
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represented in figure~\ref{fig:dc1}.
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We then represent the {\dc} as a DAG in figure \ref{fig:dc1dag}.
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We represent the {\dc} \textbf{PD}, as a DAG in figure \ref{fig:dc1dag}.
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%We could represent it algebraically thus: $ \derivec(PotDiv) =
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@ -853,7 +856,7 @@ and this is represented in table \ref{tbl:ampfmea1}.
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% %\path (s2) edge (DC);
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%
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%
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%
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% `
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% % Connect every node in the hidden layer with the output layer
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% %\foreach \source in {1,...,5}
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% % \path (H-\source) edge (O);
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@ -1001,11 +1004,12 @@ Failure Scenario & A single failure mode (or a combination), used to
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\subsection{Parts, Components and Base Components.}
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A component is anything we use to build a %a product or
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system.
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It could be something %quite complicated
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It could be something quite complicated
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like an %integrated
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micro-controller, or quite simple like the resistor.
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micro-controller/servo motor, or quite simple like the resistor.
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%
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We can identify a
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We %can
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identify a
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component by its name, a manufacturer's part number and perhaps
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a vendor's reference number.
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@ -1023,7 +1027,7 @@ We, in fact, need to go a little further than the above definition of a part,
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and say that we want to define an atomic entity. % used as a building block.
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%The term component, in American English, can mean a building block or a part.
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%In British-English a component generally is given to mean the definition for part above.
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We define {\bc} to be the lowest level---or entities we begin with in our analysis---of component that we use as a building block.
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We define {\bc} to be the lowest level---an entity with which we begin our analysis---of component that we use as a building block.
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This is a choice made by the analyst, often guided by the standards to which the analysis is being performed. % to.
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%
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Both op-amps and transistors have published statistical failure rates and yet an op-amp is constructed from transistors.
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@ -1181,7 +1185,7 @@ structure with its associated failure modes.
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%
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From this diagram we see that each component must have at least one failure mode.
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To clearly show that the failure modes are mutually exclusive states, or unitary states associated with one component,
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each failure mode is referenced back to only one component. This constraint is discussed in section~\ref{sec:unitarystate}.
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each failure mode is referenced back to only one component. This constraint is discussed in detail in section~\ref{sec:unitarystate}.
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%%-%% MTTF STATS CHAPTER MAYBE ??
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%%-%%
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@ -1313,13 +1317,15 @@ Initial {\fgs} will consist of {\bcs}.
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%
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All the failure modes of all the components within a {\fg} are collected.
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%
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As each component mode holds a set of failure modes, the {\fg} represents a set of sets of failure modes.
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As each component %mode holds
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has a set of failure modes associated with it,
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the {\fg} represents a set of sets of failure modes.
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%
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We convert this
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into a flat set
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of failure modes for use in analysis.
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%
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A flat set is a set containing just failure modes and not sets of failure modes~\cite{joyofsets}[p.8].
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A flat set is a set containing just the failure modes and not sets of failure modes~\cite{joyofsets}[p.8].
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%
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%In practical term each component failure mode is considered as a `failure~scenario' or 'test~case'
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%for the {\fg}.
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@ -1414,7 +1420,8 @@ with the op-amp.
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This {\fg} is now analysed and a {\dc} created to
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represent the failure mode behaviour of the {\em INVAMP}.
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An analysis report is generated for each {\fg} to {\dc}
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process.
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process\footnote{By having an analysis report report for each analysis stage, i.e. {fg} to {\dc},
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we increase the tracability in the reasoning applied to to the FMEA process.}.
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%
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We may now use the {\em INVAMP} {\dc} in even higher level {\fgs}.
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@ -1454,7 +1461,7 @@ Because {\fgs} may include components at varying levels
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of $\abslev$, having it quickly available as an attribute
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will be required in practical implementations
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to order the tree, and prevent recursion in the hierarchy.
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The abstraction level concept is formally defined in section~\ref{sec:abstractionlevel}.
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% \section{Set Theory Description}
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%
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@ -1522,7 +1529,7 @@ make up and thus define the {\fg}) associated with the {\dc}.
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\begin{figure}[h]
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\centering
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\includegraphics[width=400pt,keepaspectratio=true]{./CH4_FMMD/master_uml.png}
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\includegraphics[width=300pt,keepaspectratio=true]{./CH4_FMMD/master_uml.png}
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% cfg2.png: 702x464 pixel, 72dpi, 24.76x16.37 cm, bb=0 0 702 464
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\caption{Complete UML diagram}
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\label{fig:cfg2}
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@ -42,9 +42,11 @@ four op-amp stages with supporting components.
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Section~\ref{sec:sigmadelta} shows FMMD analysing the sigma delta analogue to digital converter---which operates on both
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analogue and digital signals.
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%
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Finally section~\ref{sec:Pt100} demonstrates both statistical
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Sections~\ref{sec:Pt100}~and~\ref{sec:Pt100d} demonstrate both statistical
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failure mode classification % analysis for top level events traced back to {\bc} failure modes
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and the analysis of double simultaneous failure modes.
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%
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Finally section~\ref{sec:elecsw} demonstrates FMMD analysis of a combined electronic and software system.
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% \section{Basic Concepts Of FMMD}
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%
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@ -3014,7 +3016,7 @@ conditions.
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%\clearpage
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\section{ Pt100 Double Simultaneous Fault Analysis}
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\label{sec:Pt100d}
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In this section we examine the failure mode behaviour for all single
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faults and double simultaneous faults.
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This corresponds to the cardinality constrained powerset of one (see section~\ref{ccp}), of
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@ -3375,7 +3377,7 @@ from the top down and eventually call the lowest level library or IO
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functions that interact with hardware/electronics.
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What is potentially difficult with a software function, is deciding what
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are failure modes, and later what a failure symptoms.
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its failure modes and symptoms are.
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With electronic components, we can use literature to point us to suitable sets of
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{\fms}~\cite{fmd91}~\cite{mil1991}~\cite{en298}.%~\cite{en61508}~\cite{en298}.
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With software, only some library functions are well known and rigorously documented
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@ -3396,7 +3398,7 @@ post-conditions (constraints on its outputs) and function wide invariants (rules
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A precondition, or requirement for a contract software function
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defines the correct ranges of input conditions for the function
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to operate successfully.
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%
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For a software function, a violation of a pre-condition is
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in effect a failure mode of `one of its components'.
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@ -3409,8 +3411,8 @@ Post conditions could be either actions performed (i.e. the state of hardware
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\paragraph{Mapping contract `invariant' violations to symptoms and failure modes.}
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Invariants in contract programming may apply to inputs to the function (where they can be considered {\fms} in FMMD terminology),
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and to outputs (where they can be considered {failure symptoms} in FMMD terminology).
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Invariants in contract programming may apply to inputs to the function (where violations can be considered {\fms} in FMMD terminology),
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and to outputs (where violations can be considered {failure symptoms} in FMMD terminology).
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\subsection{Combined Hardware/Software FMMD}
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@ -3422,11 +3424,14 @@ to supply a current signal to represent the value to be sent~\cite{aoe}[p.934].
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Usually, $4mA$ represents a zero or starting value and $20mA$ represents the full scale,
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and this is referred to as {\ft} signalling.
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%
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{\ft} has a an electrical advantage as well, because the current in a loop is constant~\cite{aoe}[p.20]
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{\ft} signalling has intrinsic electrical safety advantages.
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%
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Because the current in a loop is constant~\cite{aoe}[p.20]
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resistance in the wires between the source and receiving end is not an issue
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that can alter the accuracy of the signal.
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%
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This circuit has many advantages for safety. If the signal becomes disconnected
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%This circuit has many advantages for safety.
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If the signal becomes disconnected
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it reads $0mA$ at the receiving end: as this is outside the {\ft} range
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it is easy to detect as an error condition rather than an incorrect value.
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%
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@ -3906,15 +3911,16 @@ With this analysis
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we have a complete `reasoning~path' linking the failures modes from the
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electronics to those in the software.
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Each functional group to {\dc} transition represents a
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reasoning stage.
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reasoning stage. AEach reasoning stage will have an associated analysis report.
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%
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With traditional FMEA methods the reasoning~distance is large, because
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it stretches from the component failure mode to the top---or---system level failure.
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For this reason applying traditional FMEA to software stretches
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the reasoning distance even further.
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the reasoning distance even further. This is exacerbated by the fact that traditional SFMEA is
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performed separately from HFMEA~\cite{sfmea,sfmeaa}, additionally even the software/hardware
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interfacing is treated as a seperate FMEA task~\cite{sfmeainterface,embedsfmea,procsfmea}
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We now have a {\dc} for a {\ft} input in software.
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@ -3929,7 +3935,7 @@ detect ADC\_STUCK\_AT and MUX\_FAIL failure modes.
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A software specification for a hardware interface will concentrate on
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how to interpret raw readings, or what signals to apply for actuators.
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Using FMMD we can determine an accurate failure model for the interface as well.
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Using FMMD we can determine an accurate failure model for the interface as well~\cite{sfmeainterface}.
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%
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%Detailing this however, is beyond the scope %and page-count
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%of this paper.
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operational states.% with.
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\paragraph{Inhibit Conditions.}
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A third data class may be required if modelling of inhibit conditions~\cite{nasatfa}[p.40] is desired.
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A third data class may be required if modelling of inhibit conditions~\cite{nasafta}[p.40] is desired.
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Some failure modes may only be active given specific environmental conditions
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or when other failures are already active.
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To model this, an `inhibit' class has been added.
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@ -645,6 +645,7 @@ as a component with a known set of failure modes.
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\paragraph{Enumerating abstraction levels}
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\ref{sec:abstractionlevel}
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We can assign an attribute of abstraction level $\abslev$ to
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components, where $\abslev$ is a natural number, ($\abslev \in \mathbb{N}_0$).
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For a base component, let the abstraction level be zero.
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