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Robin Clark 2013-04-16 14:15:41 +01:00
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15
mybib.bib
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@ -271,10 +271,12 @@ ISSN={Doi:10.1145/2330667.2330683},}
@ARTICLE{fftoriginal, @ARTICLE{fftoriginal,
title={An Algorithm for the Mechine Calculation of Complex Fourier Series}, title={An Algorithm for the Machine Calculation of Complex Fourier Series},
author={James W. Cooley and John W. Tukey}, author={James W. Cooley and John W. Tukey},
journal={Mathematics of Computation}, journal={Mathematics of Computation},
year={1965}, year={1965},
volume={19}, volume={19},
pages={297-301}, pages={297-301},
publisher={American Mathematical Society} publisher={American Mathematical Society}
@ -483,6 +485,13 @@ Database
YEAR = "1991" YEAR = "1991"
} }
@ARTICLE{fmeca,
AUTHOR = "United States DOD",
TITLE = "MIL-STD-1629A: Procedure for performing a failure mode, effects and criticality analysis",
JOURNAL = "United States Department of Defence",
YEAR = "1980"
}
% $Id: mybib.bib,v 1.3 2009/11/28 20:05:52 robin Exp $ % $Id: mybib.bib,v 1.3 2009/11/28 20:05:52 robin Exp $
@article{Clark200519, @article{Clark200519,
title = "Failure Mode Modular De-Composition Using Spider Diagrams", title = "Failure Mode Modular De-Composition Using Spider Diagrams",
@ -790,8 +799,8 @@ strength of materials, the causes of boiler explosions",
@BOOK{mil1991, @BOOK{mil1991,
AUTHOR = "United~States~DOD", AUTHOR = "United~States~DOD",
TITLE = "Reliability Prediction of Electronic Equipment", TITLE = "MIL-1991: Reliability Prediction of Electronic Equipment",
PUBLISHER = "DOD", PUBLISHER = "United States Department of Defence",
YEAR = "1991" YEAR = "1991"
} }

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related_papers_books/FMECA_Mil-Std-1629A.pdf Normal file
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17
submission_thesis/CH7_Evaluation/copy.tex
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@ -1154,20 +1154,26 @@ $ \Omega(C) = fm(C) \cup \{OK\} $).
The $OK$ statistical case is the (usually) largest in probability, and is therefore The $OK$ statistical case is the (usually) largest in probability, and is therefore
of interest when analysing systems from a statistical perspective. of interest when analysing systems from a statistical perspective.
%
For these examples, the OK state is not represented area proportionately, but is included For these examples, the OK state is not represented area proportionately, but is included
in the diagrams. in the diagrams.
%
This type of diagram is germane to the application of conditional probability calculations This type of diagram is germane to the application of conditional probability calculations
such as Bayes theorem~\cite{probstat}. such as Bayes theorem~\cite{probstat}.
%
The current failure modelling methodologies (FMEA, FMECA, FTA, FMEDA) all use Bayesian The current failure modelling methodologies
statistics to justify their methodologies~\cite{nucfta}\cite{nasafta}. (FMECA~\cite{fmeca}, FTA~\cite{nucfta}\cite{nasafta}, FMEDA~\cite{en61508})
use Bayesian
statistics to justify their methodologies.
%
That is to say, a base component or a sub-system failure That is to say, a base component or a sub-system failure
has a probability of causing given system level failures\footnote{FMECA has a $\beta$ value that directly corresponds has a probability of causing given system level failures\footnote{FMECA has a $\beta$ value that directly corresponds
to the probability that a given part failure mode will cause a given system level failure/event.}. to the probability that a given part failure mode will cause a given system level failure/event.}.
%
Another way to view this is to consider the failure modes of a Another way to view this is to consider the failure modes of a
component, with the $OK$ state, as a universal set $\Omega$, where component, with the $OK$ state, as a universal set $\Omega$, where
all sets within $\Omega$ are partitioned. all sets within $\Omega$ are partitioned.
%
Figure \ref{fig:combco} shows a partitioned set representing Figure \ref{fig:combco} shows a partitioned set representing
component failure modes $\{ B_1 ... B_3, OK \}$: partitioned sets component failure modes $\{ B_1 ... B_3, OK \}$: partitioned sets
where the OK or empty set condition is included, obey unitary state conditions. where the OK or empty set condition is included, obey unitary state conditions.
@ -1193,7 +1199,8 @@ This would make it seemingly impossible to model as `unitary state'.
There are two ways in which we can deal with this. There are two ways in which we can deal with this.
We could consider the component a composite We could consider the component a composite
of two simpler components, and model their interaction to of two simpler components, and model their interaction to
create a derived component (i.e. use FMMD on the simpler components). create a derived component (i.e. use FMMD).
%
The second way to do this would be to consider the combnations of non-mutually The second way to do this would be to consider the combnations of non-mutually
exclusive {\fms} as new {\fms}: this approach is discussed below. exclusive {\fms} as new {\fms}: this approach is discussed below.