diff --git a/pt100/pt100.tex b/pt100/pt100.tex index 0a020a6..e7c6812 100644 --- a/pt100/pt100.tex +++ b/pt100/pt100.tex @@ -468,7 +468,9 @@ give the following failures in ${10}^6$ hours: While MIL-HDBK-217F gives MTTF for a wide range of common components, it does not specify how the components will fail (in this case OPEN or SHORT). {Some standards, notably EN298 only consider resistors failing in OPEN mode}. -FMD-97 gives 27\% OPEN and 3\% SHORTED, for resistors under certain electrical and environmental stresses. This example +%FMD-97 gives 27\% OPEN and 3\% SHORTED, for resistors under certain electrical and environmental stresses. +% FMD-91 gives parameter change as a third failure mode, luvvverly 08FEB2011 +This example compromises and uses a 90:10 ratio, for resistor failure. Thus for this example resistors are expected to fail OPEN in 90\% of cases and SHORTED in the other 10\%. diff --git a/survey/survey.tex b/survey/survey.tex index 3355bdb..22ff302 100644 --- a/survey/survey.tex +++ b/survey/survey.tex @@ -292,18 +292,41 @@ assigned a probability $\beta$ factor by the design engineer. The use of a $\be is often justified using Bayes theorem \cite{probstat}. %Also, it can miss combinations of failure modes that will cause SYSTEM level errors. % +\paragraph{FMECA `t' Value} +The time that a system will be operating for, or the working life time of the product is +represented by the variable $t$. for probability of failure on demand studies, +this can be the number of operating cycles or demands expected. + +\paragraph{Severity `s' value} +Component failure modes can cause failures that have levels of severity or seriousness. +Typical classifications are as follows:~\cite{FMD-91} +\begin{itemize} + \item Category I - Catastrophic +\item Category II - Critical +\item Category III - Marginal +\item Category IV - Minor. +\end{itemize} +Thus a component, because it may fail in different ways, may cause +different severity SYSTEM level errors on failing. + +%I AM TOO TIRED +%this is fucking torture + \paragraph{Results of FMECA} The results of FMECA are similar to FMEA, in that component errors are listed according to importance, based on probability of occurrence and criticallity. % to prevent the SYSTEM fault of given criticallity. Again this essentially produces a prioritised `to~do~list' -sorted by severity and liklihood. -Each component failure mode has a criticallity number $C_m$, (where t is the operating time or product life time in hours), which can be calculated thus: +sorted by severity and likelihood. +A criticality number $C_m$, +%(where t is the operating time or product life time in hours), +which can be calculated for a given component failure mode $cfm$ for a given severity +$s$ thus: \begin{equation} - C_m = \beta \alpha {\lambda}_p t + C_m(s) = cfm_{\beta} cfm_{\alpha} cfm_{{\lambda}_p} cfm_t \; where \; cfm\rightarrow severity = s \;. \end{equation} %%-WIKI- Failure mode, effects, and criticality analysis (FMECA) is an extension of failure mode and effects analysis (FMEA). @@ -314,20 +337,22 @@ Each component failure mode has a criticallity number $C_m$, (where t is the ope %%-WIKI- FMECA tends to be preferred over FMEA in space and North Atlantic Treaty Organization (NATO) military applications, %%-WIKI- while various forms of FMEA predominate in other industries. -A second result, representing the overall reliability and safety of the product $P$, -, termed a criticallity number $C_r$ -(where we can consider $P$ to be a flat set of component failure modes -which we can use the variable $c_f$ to represent +A second result, representing the overall reliability and safety of a component or item\cite{FMD-91}[2-17] $C$, +termed a criticallity number $C_r$ for the component. +We can consider $C$ to be a flat set of component failure modes, using $cfm$ as a variable to represent them. % where $f \in F$) -can calculated thus +The $C_r$ value, for a given serverity $s$ is calculated thus \begin{equation} - C_r = \sum_{c_f \in P} {\beta \alpha {\lambda}_p t} c_f + C_r(s) = \sum_{cfm \in C} cfm_{\beta} cfm_{\alpha} cfm_{{\lambda}_p} cfm_t \; where \; cfm\rightarrow severity = s \;. \end{equation} + + \subsubsection{ FMECA weaknesses } \begin{itemize} \item Possibility to miss the effects of failure modes at SYSTEM level. +\item Component failure modes are tied to one SYSTEM level error. \item The $\beta$ factor is based on heuristics and does not reflect any rigourous calculations. \item The $\alpha$ factor is based on heuristics or general data, and may not to specific to the environmental or operational conditions under which the equipment is operating.