From a7984624986368d924003a944d0aabf0677106d9 Mon Sep 17 00:00:00 2001 From: Robin Clark Date: Fri, 11 Nov 2011 19:02:18 +0000 Subject: [PATCH 1/3] Had to get these files back using checkout and the sha1 codes of previous commits --- presentations/fmea/SIL.png | Bin 0 -> 5874 bytes presentations/fmea/burntoutpinto.png | Bin 0 -> 157350 bytes presentations/fmea/non_inv_amp_fmea.png | Bin 0 -> 62930 bytes presentations/fmea/tech_meeting.png | Bin 0 -> 70951 bytes 4 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 presentations/fmea/SIL.png create mode 100644 presentations/fmea/burntoutpinto.png create mode 100644 presentations/fmea/non_inv_amp_fmea.png create mode 100644 presentations/fmea/tech_meeting.png diff --git a/presentations/fmea/SIL.png b/presentations/fmea/SIL.png new file mode 100644 index 0000000000000000000000000000000000000000..e40cb2d716c2b34b6f065d71805b7639e2a91d0f GIT binary patch literal 5874 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z(|TYkL{9-t*LyEb>v^i0hNfvdpO33`x?S!*e0XAdLN`4oFMV&%zr}IP!-w||EWdry zi`9h0)N&j>9-9_CxzY%8hd8rHPQVFQDih4lFYd`&5CX1Uo8roqNiUos+5M!Eg>m>9W|$dZ_>ch<1zC%=&2F0ZqVcv#|Lop0X?oYRP2Jksis-JZt1TY` z0uJ*5djYbgA8XgDRX9&_0vvA0nc>IFdw%bGnr-h?3w$sbq)=EQ93HpDg##_(vNciH zbhBLM_>4JMBeg;(QTXJ3a445I$I81;(ny-@qRB2w;NnYg&+mQ;VEZbzui^N?@BY+* zfXwXdET)+r`{C7fg}Zm>NhI{C(+(lLXU&N@K93)7jYT%)@+R)kGaL*m6pLAMxeT{% zK37R4x|8`PKUkS5a8kPG^vREtTG3+ct@W z!M%IS+_|%auAiUx@I;_p+r}M=^w{%m_guQV)s9^Dt2S2KrEQOUijzr`TyAkQv~55Z)ievTU9{{hemB$%6-XSy=dajhlVf#d92-VFc|u z&M2C8Pon7mATNdyuQ~}cwNuqW3@`nvVN-F>^h)o8u=SH zSSS?8=JNzkDP-{d9$Q=ctgV&V**W-TURzNVZr}cGEcLLwY*H+mLU;w=N4sqkiCmvN zmFKzxF&+-z^XU2h*zkRy-e|r@wQ#4QmKC( zATu)|R#)>vcm;wlqD9xIQaK`>GN9k1*Xz;m^#(%L?++r#exLry7`}Hh_{y9#bVNu) z=Yu3k@RhmI{AY6`kv*CJB#N@CRVs&vl-|Cja&RCn;OCKNFo>DSke-_(nNDNQ&JsE2 zUbvp;v$J!^*47?dTl=)z_9s#AucMMN+F@UgPkj>}GFD;SH=g*urxCjB>->HXR}1l>*NN3h@C4Sjf$f<7FYt`jy4 zBGD+3Xq0dya%xe6KnSluaQy|@aj>dYn)N!ZW|OXMV-I^Qe@?&G!x>io`My6mo<`G9 zRTV{52d`BXJrp8r7=#UjP$WVq6uL4e+6t~7{{VK00o~pEqPqY9002ovPDHLkV1kz^ BS-SuL literal 0 HcmV?d00001 From 3e59ead414f6ba1e2bc6ef5e879f39779aab74f2 Mon Sep 17 00:00:00 2001 From: Robin Clark Date: Fri, 11 Nov 2011 19:21:28 +0000 Subject: [PATCH 2/3] OK off the leash for Friday --- opamp_circuits_C_GARRETT/opamps.tex | 22 +++++++++++++++++++++- 1 file changed, 21 insertions(+), 1 deletion(-) diff --git a/opamp_circuits_C_GARRETT/opamps.tex b/opamp_circuits_C_GARRETT/opamps.tex index 13ece3e..2369af3 100644 --- a/opamp_circuits_C_GARRETT/opamps.tex +++ b/opamp_circuits_C_GARRETT/opamps.tex @@ -813,7 +813,7 @@ This can be simplified if we can determine the total number of failure modes in equation~\ref{eqn:rd} becomes $$ RD(fg) = fT.(|fg|-1).$$ \pagebreak[4] -\subsection{Reasoning Distance Examples}(c-1) +\subsection{Reasoning Distance Examples} The potential divider discussed in section~\ref{potdivfmmd} has a four failure modes and two components and therefore has an $RD$ of 4. $$RD(potdiv) = \sum_{n=1}^{2} |2|.(|1|) = 4 $$ @@ -910,6 +910,26 @@ We can now use equation~\ref{eqn:anscen} and \ref{eqn:fmea_state_exp22} to comp the two approaches, for the work required to perform rigorous checking. +For instance, having four levels +of FMMD analysis, with these fixed numbers, +%(in addition to the top zeroth level) +will require 81 base level components. + +$$ +%\begin{equation} + \label{eqn:fmea_state_exp22} + 3^4.(3^4-1).3 = 81.(81-1).3 = 19440 % \\ + %(N^2 - N).f +%\end{equation} +$$ + +$$ +%\begin{equation} + % \label{eqn:anscen} + \sum_{n=0}^{3} {3}^{n}.3.3.(2) = 720 +%\end{equation} +$$ + \subsection{Exponential squared to Exponential} can I say that ? From bc2e34b955a51467e4b17a91f21375e37a9b9da8 Mon Sep 17 00:00:00 2001 From: Robin Clark Date: Sat, 12 Nov 2011 15:39:55 +0000 Subject: [PATCH 3/3] gave it a look over again --- opamp_circuits_C_GARRETT/opamps.tex | 19 ++++++++++++++----- 1 file changed, 14 insertions(+), 5 deletions(-) diff --git a/opamp_circuits_C_GARRETT/opamps.tex b/opamp_circuits_C_GARRETT/opamps.tex index 2369af3..ce47961 100644 --- a/opamp_circuits_C_GARRETT/opamps.tex +++ b/opamp_circuits_C_GARRETT/opamps.tex @@ -666,7 +666,7 @@ mode (i.e. one or more failure modes that caused it). % \subsection{FMMD Hierarchy} - +\; By applying stages of analysis to higher and higher abstraction levels, we can converge to a complete failure mode model of the system under analysis. Because the symptom abstraction process is defined as surjective (from component failure modes to symptoms) @@ -811,6 +811,15 @@ its range as the number of checks to perform to satisfy a rigorous FMEA inspecti This can be simplified if we can determine the total number of failure modes in the system $fT$, (i.e. $ fT = \sum_{n=1}^{|fg|} {|fm(c_n)|}$); equation~\ref{eqn:rd} becomes $$ RD(fg) = fT.(|fg|-1).$$ +Equation~\ref{eqn:rd} can also be expressed as + +\begin{equation} +\label{eqn:rd2} +%$$ + RD(fg) = {|fg|}.{|fm(c_n)|}.{(|fg|-1)} . +%$$ +\end{equation} + \pagebreak[4] \subsection{Reasoning Distance Examples} @@ -873,17 +882,17 @@ Starting at the top, we have a {\fg} with three derived components, each of whic three failure modes. Thus the number of checks to make in the top level is $3^0.3.2.3=18$. On the level below that, we have three {\fgs} each with a -an identical number of checks, $3^1.3.2.3=56$.{\fg} +an identical number of checks, $3^1.3.2.3=56$.%{\fg} On the level below that we have nine {\fgs}, $3^2.3.2.3=168$. -Adding these together gives $242$ checks to make to perform RFMEA \textbf{within} -{\fgs}. +Adding these together gives $242$ checks to make to perform FMMD (i.e. RFMEA \textbf{within the} +{\fgs}). If we were to take the system represented in figure~\ref{fig:three_tree}, and apply RFMEA on it as a whole system, we can use equation~\ref{eqn:rd}, $ RD(fg) = \sum_{n=1}^{|fg|} |fm(c_n)|.(|fg|-1)$, where $|fg|$ is 27, $fm(c_n)$ is 3 and $(|fg|-1)$ is 26. This gives: -$ RD(fg) = \sum_{n=1}^{27} |3|.(|27|-1) = 2106$ +$RD(fg) = \sum_{n=1}^{27} |3|.(|27|-1) = 2106$. In order to get general equations with which to compare RFMEA with FMMD we can re-write equation~\ref{eqn:rd} in terms of the number of levels