From d2ac2d2b20f66f6b734da3570b26101506b35dcf Mon Sep 17 00:00:00 2001 From: Leahy Date: Thu, 14 Dec 2017 18:56:31 -0500 Subject: [PATCH] 1 --- README.md | 29 +++++++++++++++++++++++++++++ figures/figure3.png | Bin 0 -> 17349 bytes 2 files changed, 29 insertions(+) create mode 100644 figures/figure3.png diff --git a/README.md b/README.md index 7363dee..87f3abc 100644 --- a/README.md +++ b/README.md @@ -186,6 +186,35 @@ For a given pressure range of 0.001 to 0.01 MPa with 10 steps, determine the mem ### Approach Using the given pressure range, the tension was found at each different pressure value using the bisect method. The best fit line was found +```matlab +clear +P = linspace(0.001,0.01,10); + +for i = 1:length(P) + func = @(T) SE_diff(T,P(i),10); + [root(i),fx,ea,iter] = bisect_final_project(func,0.001,1,.1); +end + +for i = 1:length(root) + w = membrane_solution(root(i),P(i),10); + w1(:,i) = w; +end + +w_max = max(w1); +coefficients = polyfit(w_max,P,3); +Y = polyval(coefficients,w_max); + +plot(w_max,P,w_max,Y,'or') +xlabel('Max Deflection (micron)') +ylabel('Pressure (MPa)') +title('Pressure vs. Maximum Deflection') +``` + +Output - Based on 10 interior nodes: +- A = 0.4443 + +![Pressure vs. Max Deflection](./figures/figure3.png) + ## Part H ### Problem Statement diff --git a/figures/figure3.png b/figures/figure3.png new file mode 100644 index 0000000000000000000000000000000000000000..4b8b2df92ba0f2ac25fa7e2f9df46f54bda0055a GIT binary patch literal 17349 zcmbXK1yogS*fxqz8U#^7y1S&2kY-6qgOs#{Akr-*h=72Uq;!|0C@3We3KAk9ASxgw zDJc#6UcTS|@4f$X#yDe~HOA`;Yt1$1GoN|qbzL{nI$A0hFVI{-5agnoDoPJQFa;3= zqX-`p-pPxN+JyfRxT%_WA_(z&^nVyByu`HdCZ3m?<_)}AB4SE$p*8(=EqIH~>xQwH zzN@{LueFCAqN!k@p`ggeWN_DxNz>Zvu92(9Jx@L+HJ3a5(#Aii;CL4F@k$7o8PTR|#(1PQ&z zQjG;`y`0a4fgsv>=zj(N|NB>TMhbCrUhL0cXJ_xZK}ngW5RQA*^rb4B$8R~qSjJDZ zt}U~F{tQ)RiQO}_wzf`5Np0P!Hh*hoZvG3tG05OV+Z-l5H{ zH;ElJ3M(nsFU^tkEXk4k^y>bUnVA_eqpWl0lPPW7riITTIJehM4tL)A{?SrZJy@x% z`C4U?{QUVR?}DRmuU#!oOeVweE*ZWsy@8qz+BXjfkQ&c#8ZXl=WL0@87=MXg3Weh5 z=idt)djI}?p-TMrEL+FH&G@*u``=zVDk^qYUVZu}2k@n5ow<^lYZq zc-y~X1WJmEsHR&=N;x#rFO!oSn3y=eF*Y?dEj^{Vp{$IHgTv0rDH7xF@2{YsK*pir zXWwEPOD8GJ$+@(>@M+gbpDq|XbiE2!OG&Rjw5TgQ&)@MYP6T`rRQ6SdZG*SCJYD6!PB zvn$ps-`(5u_Vo?fXkLmf_|32_MDV=H`gVNLr%Dp`i#1jfC6Gd~b4e*{w>${f!@Q1NJH! 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