From 13b262a3f4c862cb7d34fbd891242a01e0305ecc Mon Sep 17 00:00:00 2001 From: Nicolas D Mower Date: Sun, 30 Apr 2017 23:28:33 -0400 Subject: [PATCH] update --- Plot4.png | Bin 0 -> 18332 bytes defl.m | 2 +- solveODE.m | 2 +- 3 files changed, 2 insertions(+), 2 deletions(-) create mode 100644 Plot4.png diff --git a/Plot4.png b/Plot4.png new file mode 100644 index 0000000000000000000000000000000000000000..2e7d200f493a9686c889f49f2aab7927465d5d06 GIT binary patch literal 18332 zcmeIac{tVW+b+JE5fP;#!zv*|h72J?D@hrWIWlD?L&nV1qNGA)N)W$h!{>9~*L_{*d0yuwR73qV9SsW&fk2=; zqpYY&AZ!#S5H_SxZNxK4w{K42|EQgnFSrs2J3dhUw;_su2P>Z3=5|Ky)VAI&8#e9V zX#a|;2v2djozi#Hac9+eh7CM_&F;&w%bK;R^tQ9Pl2 z_0dF^*F~o9OY&3ZB*Li-UX71iUPW=5Zc#jOC4HW+r>r^eNNFdZPRcC<$%`4Sug0Q^ zO!+T$T{*$ex!b`g^HkUY&D>j0qHj^PZV4g~YbL{I#yUGMlOxWA^v|qa*E=Q^=Vdi$ z@%X}*M`HJCEH)De@7k_b?ZCALGH`Jb2t8E){M`J%|9OyKP_Wc{&d%00^UbCW1Yyzb z=G&4a&pkfA_@|mUO)w~Ml)XCDV=$(tqa$dTFL3y9=$eep zx1^TmdOzCRM~@x!4{2jVi1c}=H;e7yYqrO~BJPs}#%J?5MwF{hVhFfcIS zzBp|er|K~?SpQho=k9)~#?PNshNxLS;|q7S&X@WuJa}&VQ-RFj>ABF^d9kwk6|3%# z_-VebGQZ*tER~BhLj#6MFM7pDAw_{vdjyHZpjKLH>IMhn1ChJ}0=K^o@k<8xkTAC=f#%SmLkE>^Q_<31 zzA312G@3c9s7RWZmsdhU7nfbm&m5-r^5VYz`vs!T<~>UCUpTLs>GtbG=z&P(f#UL& z=`iELC!T4pHFt>&RCn2B&r(I6P1VuS!Rr1faO!@p_lkmUYAZS7rq_AGqdWAb_@k4l@3Q|P28EO@`>XPKYR;`9L4to87?!O$g3%Tw3WV>ntO*QF1a%XrV)EVX_J zWzzA#7*EF)sr>tAsn4HZAFIPTKEJYv`rTC=6CeLvW1_e6MtggEp1*FDi;tFZYM!xl zQ}%}Em&u}W2Gmd_EAF(Q1oNim|P$yg{$$D2#haot$1= z!RI!S*g9?xI^B`R2h!|e+WlBO`UiH+HaP=TRPaZr?8PUCd5T=gHz`pgM5y;J^<@7Z=g2%o2KO9L1QJ zJx8|(DF`EepFBB$(}y!CBU7w&hec$vF|@>QS+{aCw&Dgo#}Njq*x=Fb@^arc(KrDS zkx2jJ$B(bz`u&#YEv*{L1J?1P)}pia37@f44h{}+H4=`Uu`hX}w3=309!fZ{`0*b& zKh(zLSj;*b&YHzM> zlZ~0ae(dx`rEvDF{jWn#-9M*H&mp(}m@}uAATRImSNZj324f2guADiOlB>xVli$9L zy&%=l&``&nVISW>B;r^!bUnC#|9*Hl{pt%6Y4lt2CPB%m_b0OI4iQ(8p6fiK~{h@8jbW{BWWpugUjbdi_PEyZbX&e!sYoBj&{U zWVWTqcTtqd%)=vp#W2s2Gfq`kU;op7BRECDvhurlQtTCn zfm%6bwRFDk#cE}Du=M`@(-+nKq?j*iMqFY03ex+@=QSKj!iMej^>+?iTnoQ*M`wqA z*d!EUN_wRn%w=FGo;ucpN)A~Joq_s=Y zoPJZB97cr1;mjY?`rV@_KB-BuasavGJD&N4twq zvKtu}C*yrR?FOHj`}&p?MP;sDw2rK~+`NltXp?iZj243raH$Q~6l0M>AQl^!C@> zkF$#rGT|n>4Sx$_?|WX{@Z`8jWv)V;YSsRID>$a2h2#9?pK>PyS5%`my_{obTQHKc2JDRg`)gaK^|Tr$ zekjDQ#T;i3XVBEtycZL5S|!%dmmKl#ox;+umBpE94o_$22q7~MXD=_W@2^bGsj9lU zx;{O0gwh=rBAc_iDZOv`m<-FsA)*+FPnVnnl@4s>kbKZ z@Z4vw!h64!&c_|KrXpr$X6D|lRY@?wwZu%eROQkv+S||!OB`}Byl~;l6%ju(vt$Qr zt6+(zoQiaV)SbcG_Y4jVF_AnbI$EBb+V1Z9XMTQd^!cka)i@X6160CSCV)w)DymGP zzjH*m+a?TCM@Q}6=&PDEIYs&=Dlbm%ZsMk)q3KW8(9sdU^nogEL2xGZK!AMi-u?Sk zIaavIfB*j7ymjki8PB^O16(e}QnepH4j>!1p~hF=Wm}#b)6>^i{;VURsHCPw*HkOx zG0wXl{pyv_%o4Cebik*cUcxY%ugoUXj zNPGj}D{~$C(%)~f6x^)fuUXd-ZE~bOUO{Ef$tkbV|Jo=^a_#Smhx^jDXaZ;(7P=fF za*2!2HJy`B-DlJDF6cnyaC4^CEN!@#zk=NN)~Lk9#Fg^8_H$>>gcgM#la_9r97oAW zS5J7Byg$1dq8rmyw&d9Pnzoh)7G-#&7Zns%Vwq4TYXu<#VF-QCsIu*mJO;EOrh&}6@` zhBZQ#oNFe%ippo?(WVI?)5fNz&?WP819TLmiUeN$;Y0t>P}5J{cnOC~^P)6iuUtY$ zb8czhb8?#HyEPy7^bi|&#_Gw39j3)wC^2q)|G4X5U7r2-+RvY4A%ji;|9= zNn`ER)#(mD@}=uYLsQ=K<7Z54u2wvdFn{tOyyd*(QFoXAPdk@>y$jl;8({wB9^g07 zqK&3rD77Zg^hIr9F4r^4b?#eHM@#}%#U&)7rONtd7I*L7jmibkygVeoj!dtAf$~_K z9no4mEX*Ua%e5(rLDSgycYl9Mgvzj&nCtnsFJ7pwb&1=z;w(#uiOqs)p^P_8i?vr& zT>DvZh|K$l#=_E4ubx>cT7xs@-Du>&)2%O! z_{&FJU0jBN`I0I#bIM{*k&r1SQB{Y>aGqZp7W~GMmtUP_nmEN5seJF=Js|rSK|^K^ zj)2+W22?u7_Uu!=QbQ{%zKgw7^z6r#P29%Y&htg_T`c1aFrl~YE|Xo2DU4L60*<#Ohmxd%nv+odYdS#q+^QE()@(s`n*MK;iu*4&q8ry zyJruSY4ASiR#2@+TB~(R+D6a*Elk;0F5t@}DX~@MR86|@%pA4k(uO?-NAAw&CUPEi z$tY6NH!`ZfnEp$7drIu~E3=m?TUzqKH`v+P-QLGd9%QL+*cERbtcd1bJHMLN@tKkfNg{-^C6Q zv4b8N--Oa+XcE6#J1)%q?us8tIzxrZYRPU1zzy1&Jb>)6FgNEn-G7Ee+NhQ2VWK-c zKhfVm+k1mU>GbKN!6trlQ5w7}vrXrA7cH!;%zPy!Ypm^i`o_Ha@o_KFBS-EQrq#`Q z-z)cHVPeWbng*xO7}t+VNT_d~otXhA8Lqj{Gf*C(S}x#jep>XLmCf+4e`@Sp_Wklh ztf1}dyu3~IdffLL45`QrJUr=SGI@I1Wq@vWdO&3`CwIF)(sR?R+YF>_FD#^!$$&sj zdWE-g_va+NoKXAx@qEEq9f_@iJjzZ58kAJVoZ(Uis6uNMbCzn6a@lDLRDWh?wF`}6 z16u?QWGl7a(vSA_&D8KD`cBvIOnavM^ z;^oD{1G{Jr9y}O#qiFXr8JVMBHI=y-7nRPiMif~S1_iS3JW7Awu_O0Pl@&?zbYZD&;W0kF%-X7? z)y?(}WIn^BqD2-YZ&e}J>4i7Jpd)U>3|en}7hR%$1XJsGJ!z3I(Mnf8ta^c+jakw1 z@+fb?K8G@KMO)6TA+==i#QtTk&syv}AK$62++$1pT9B7VM@_v55bW4pmgPL;3ZSuR zE3Hje5qO%omW{oAF+O`>tfH)}3@m2aJe9JJ_*?ENIj?EOWVup;rGrE1l|H4#O`1#X zIL}rV7Q*E+6@7m$nVS!A>}+xN>dpBoSL{8<*Hj!sJqb9M=r?~s&|c9#ByKw{AUoTx z^X;4X_#Yq@kN^&?KUZ#TZN+JC!b^861)OhFfK*`Zy?X28B_E$ziq%_ z$}99qDXf1TRNa@FnkuOOTA{4{n3R-5S5Z{qWgCGz7B1o2;^UE{qxkiTii$jdpgB2{ zUcY{gZ^proE~hICSYJD=mBv6q8u9w|fm%|sKs`aa{-OBu)8XuO;Ug4+m7DvZkY70g zicD`sFu(2#(<2;R#gM z->9{#J5-EqtF;idO4;fK?68|A7+`Ta7+T35nqVAp3m#trL923P)0z3s5-(REqCbEB z^25QCI$brvd_$L~%l5NNBvOa#KWx?PO-wE1)vpWYd@u(I-B z9EiDc<;t|Ycez<*$hB)5yF%*s3Y!KdCU%E1@h}VMJ7cvzeE1M9w}cZU5?;KKppd0% zHcVN5Xg-U}GIz>@2M@3m z)m2r`Sc4!evqXn@*BlWLsO#!V==&;l=;-L!al6@cFeZG%ySgg@95;_r^xprX^lDw*5!$DBY6C%m z_1H=10YGyXKorfxaMSrghfkYL0=MGZSBv>-YYe9jhw)TVK z;^M*Zl=O7acEdtn9AaHv-ElHPKtR-=WRPuf24ZzV!2(3>$8vt&Q$6p22tW)wTUvA~ z(}77`=SFqF$Aeu$6)UV>qY=P-kS7Is4d;tp)*HG(Of)UDr^b{sAc54>)GTuP8XBf% zW|47mHGNlxpB*F+hU-50%$Qf--ASsbtc+vi;7EM;?j1e?(8uO)4^l~2XJ^D60zow- z(sOvGZ^Y2)UzjIvN@pMn)5ZgH_(hBBs1ms>+&~xfvOsYHH5( zDpof%MB1n-7Zw(hBY^jg7?->S88kLFzRz<`T}>^^{jOuck0N*b(#mawo}w(n0?}nz z^J+~Q^PeZ7qux{Ig0!#ATacTZGWl$|$Ekc(iK-n*4O~b;LBZB`1c2Qi8hK}D=a%iv zHnDvW>}Pi#BPdidu(N;ZWa{--7qudxPeNuGSXRhYJQ+|}Q9&Yo0`Rq}i#?$-Jw2VK zp1`takEH3lKoqApyG00u*Hy7G<1FHKDcO(Y*qgkyRzz?2oY}6#(ym8}3$X7mkQN_vQw(92CzY9vg=O-p7O^l4Praqnb_Le3pb`77n z^ro$;Nh>-17_lE&h#Y|uki*D}%dGoEZ9Duenar?we&m0oWeyIGwAW84k85SjRGYEX zpnQ-lRJTMb?_yQShrX~ay(%qTy}j>f z+PTD+W=hC!S9eeo>X;W6f;zZUkT1InU9G`lkvN&dK0*WeIs_~~4zw|b;s+?-z9V<- zZ8^5At#Z}RbRuT_-u?S{8ziR}E3HlG=d9}=o}#(}@vO)#bH$bpmzZF4R(a2ni#KoI z77!BRA?E^T19+o;UmZ&DwAn^!JfI-HFvuH4Yv<#~k7#57tl-q9t?ojPZB%jYkW8qe zsKQ`#>@$qSDX@N2R1wL5#=_4c}a^BVNY0ugSAA#WWwwzu& zA!6gEO^^anzkXw%(`ziP0TpBo`J&c<#l3H7IQ{3{B#o+gpexoq5fTv-^Bqv-$i=rB zQ@eF_A{Ks8PTWR-dB!+Jy1n#Ri7r2Q);IWa>tVB)6_PJnfqvW-kGtM6ztkK1F zv)M#N?BI|qK_7~4HxiJ4#RdYwHC2aXQ0gsCOo29x?^67YCncI6M^IWBT3Su0zBugr zI5`o&=kh%5lH`Mj`ujilqx))FW_L~*>7gJ$Uso!c4QZ~-re(qh5b0c^oZ6W)W-=^z zlc9mT-Cj`(WuQq5i++6ELvj16zQbuE?BP7?%UQTCcU;0*H8rC=yWPZ;w{P_a@?_jf zaZBEfd_*9(K!!%V3mcSY*K%th0yn?E1(#Rmd#2bgQ9j@&VZ#POpjV@ZfQ;MnRsuoS zwq@c+Ma9OhGCZwgkU&JklJ>vm}F0k|6yASIr6gUwG89Z5xnou!+T)}Hx2A@u&4n=>kOvDDFtns1`Ci3%JOZrnI+WtH~$->;J< z9^&F6-?+gc=lfPA<_J15^>P8%=vQAKkJ>}>j$Z_VhTa_u z(YT_8+S*#H`iD`Gktf#OotY$AS>b!uP==W8N9Eo>;sf?cXJa{ z>~S9&9Q2s{DQkXu1Hp8EXZJR{v&zkAOi4KXeDv_)Ss#D?oc#RX-Q@u&P1mn)+P-s? zZb1^ON{QSTvP6-yXV2aW3kyd}C_Y|=3JMzgQ7hFjX2D~RZ|v>tMz?&tcTG;?xnuW( zr~f?A{qbqQinTX-6 zFOQ@rHkW=LngP{#n*L8v*hWP#3mL2CL}DF~FT9R_-0oLLO9y0%h}fxVCTKPEx+lt=2}5d#=-)pw0yUm5`7?64-i^ z@>H~L!cHVb1L)}Y?p1h*;S}WOjyCu7^&K^FHm;e%-!(d&8!! zmpk7^wlHkK8A3A1&dzRyT1>T1%;sBrj&%TVy9vPiczaG|2;D*Qct_q?HAjGjq$-xn z9Z`27E6RIrbne&3Fm&FasqmLX#mCFwR*(asJ$M{wW(7+^Y2POUqefrPn%wL8qbav; z-P$8$T!LI!+kTVb*T_iw)6?O4uZ*Ljqq7;X6S3Q~7#WEvcxIGO;Nsf|22EYvv}y{J z=|mb55EP^)7C3fk>OsEn=OpVJ8bZXu1xaGN&@V(a>@M>&>vJ#sra%8{S-*e2z-E@9>c8O*dti+ar&jNbL{z}by-%|@ zp3YELj*E+nmvnM$ebEk&1r>39>3jL`g-GeGYe8lI2cW5%_rxJF#`rj&^JSHA5Ep#j zNvfU4^7B}yA~*2G`VzRy1C{9C_3!!i&%M^_nZ9H^tlhJtC4ois=uu?5542SM6BAid z#6OEGGM>L*?|#bY?d>+zb7HakV=PEwq3e)(qFmP-^V4Ws9ZelGI`R2}Ar+BX-GNr) zeg7um#Vumq|M?{vu3OXxxbjNJ5%W|;IXSsH`+6I-O1K|<*H*mL)pvw1bgS=!z2ZWd z?;@o_-QIVSs!)EgT>ci(`Lca)v(kg*?S6ts4oAp8)JS?oGkQ%jj?ng4ZlkHs5>?>D zh^ug5)ni%vTk94-8IR?!o*ox>H{1I-zpJe9BwrM`@*+BdrOv(Ad=~*Jpukq$WrJ8U zdaLvK^y$qNeZlMI*3mh` z#prFM&d&BLgXW~o( z;Oi_nnwln+mzNL5t9mP*8|fEnJ)cXy>!kQKVz|&w?N4F|H7z0OMACxLheKOV{g4+b zb#89!U5U}{D*Jc|8e?9O=Lk9kk-ukOo`0&u_j#o6jhJAA>%p@ZHK%y%5`VUDA_!Y= z;aB3{|J3!F*7Xjum~)T9AnB1Z7e%-jD9#o6aOsMrbWXl-mma>lE-?u;L0-|@-Dp@ zD&p*)H{6dm)b1WO@zcRx{!bD4@97JsapTC)2yzbXILd|dlvd!Wpb!`q_8D4r)bl@! zzTUN$l-JhQ($6LOqd(^RJ!E#)jdXKm_{1zB<&E{%^1F_VF}sfMksKBE411dr=p}a{ z`C716JZ^6E&Bh;1lK&$_|Kl8dij)6RbB|ZAXGd0%AFM4cA3q+FmM(hs?5x}>3RcmD z9IMMA=^bciS%LrAHD`eSG~NS*+_Ghhl$2D0tdDM?oS(ACx4)TsF4NlT5xNY=@^>H0 zvwZr$`aVWdmD|Kyr*%2H-M7_$3`I=O%-~)e?d{|5-6N?y2EKx=01_^8HvC+->N$1( z!j(j69b9gE-P6;97ASQ2RG18aF($shN-PR@4j6VP5aylH$kq`m28)FJ%exCEn~t_N zii>BmTV7VS3!E@`s<{KLF*i3iv^6y~8Hpd>zbA5YE1i@8Tff^hN}Fj??tkjkDc~ZV zHOsdC{(c-DG~@Yi$G2CCDPWO{pmBAxsosqW(I`~A)u?R{raC0 z6V}1RI5E%0#+LQ60@Z+;==8Is!CW67;0O$hSCS*z+VtIb`>*^tJ-smV44J$rQ%3 zT1#uQykApazYSNfQ?{Fd;kETw_EM#fG`|;wfx;-a(6Pp@dHM1QXi%;Cn1x z)|Uu8Z6m>Q{Himhcc5N;9bn_~kNi8S|Dubi2*lhOsxv@=p`lk?UCnEGRAZe%G)SLN z8}x6{qwXpKH9dI(kgx}R1-acK(BjF|Ok9j-&YYp%-V0D(_>GVFkJiwlvscn_|6;Mw zF~Bd%Mu26JBVbf;-wn;|9F=WjN+^3JV!>6*hh*20n+aqGc?4K`x)?4h5s`+D4$5)( z4_Kv67a18zjyPge1VJSxCZ>rLs_26BPESui?db_~CLzIA=I!XUE!)vu(k=^rud{*h zHk?x3PusPxNd|s*VfqDVH$Vmq5LI;SSpP$waKyK;D z=bmT78u*)cx-=2nUiIOFjr?x*@Eg73Fr~^hKPDQ1L@j4dE&BRx2DuniaUkJ*HTm-$ zH)iv%!i_1!jgp&j1furFky1S!Cxuo}RV*7ZP zK@^B<&z=}G0QMa@0wi?w+1Gzz5_AC zTskT$n(y$VN|Pcfap#^@#v8cET!#*Q{P5vzVWG$X6SrzoX{qOU+xvfCf(Qa(1J-1q z37*cp`F>~y(a9N!R@+&9DoSVu>r#g@FtW41d|83MB^B|~8~t!IN<`wUH|(4M%WBa{ z>burwZLtCShmQlwLWiWjwieV)(;r?wE^clELqke4F?b4VaM7kEGw81UceELi_oW$* z5fu+aLht`sS$Tb>s|$`?1#1I3HbtrnuT4+Dx=~xOapT7M@%E?RGxXoDnjQUDv`EUA zmo0--P9|@*wzgg*ZQFJOjR1+8mvON7r%x!;kr^P${bP@XypW=q`H$PlR8Sb3FXXPQ zOzW0`=qhcJAj$@;t)QF07)pjpV%yjc)X_3Eqf8+|Iw~YsGT=W_K6g&f|8sl0l(aO< zNk2q{vCU|+GrEN)CMMhzP}>3PUq?ry>(h#gif`Y(h0CwCF_=N%&eZY=d61A$YSVCl zbo2W4lQ7pjf6fo!G)|!e=$e2xuEQ_|RZk8!EaEj}sHW6;+QZ0$46wCM!#Y`9SXg6y zkn;9QbZCcbn&3=b>UqB@e-q`!Y0|_f==AqV<+QVyv^Bi6iqe7?pV9fBhUWpuwh%2Qvp zk&%(O?_3JSnvs!#z@p<2 z;N?YwLKfc8R3C$M{|%*YV?z4x`yaO-ox>TidwuGyv+C_FB6FUi9{M z$;q#uKH-hS9eK}v&2XZr{-I+FnGgYCk3koswGX#^QUns~*;G_(b#-+b9_iVgymZuu zB_(4R8nMwh@{mHiK7Y1{aRkPl%iCxn6^IPVraXJb7pm9@5FhLUO>F695&hcy4<~X2 zB;U7h-)`Q#8PQ;jRxGG&eSN*rYtx_*DN!Ds9P6*qlyIchhf!S_~O#^TrKYzeYz{*xAcq8iHD5`%l1J z*m_nO*b9BND4}-bb5m1JBIH&cny8PLM2H_cIt(f|59I7@fi;TssjoVGj13faZ%`29 zy&E^GK{s}tg?9#L0&?YUzL@CfMj94w-l(&?)su%4ccH4}G zAIXG|Z`eLap=V&=5M!wNd&#I_EAcEy?q;H#ZkL`(7DlgynTS4bH#<0LjW) z4DXnEH6WC?so6NeZ5K21;P2mG`dWy|ON)zWJH6S%xDdDai|NIN7aL}bHvvXh?MP;( z6DPuN+&XuV;ygGAnDQ+QJzdmnRoe8g5uiT)eN}Xej3y@CxU%p1e~{~ajwMhK^5B;Q zev@p!We>`L&HWD}Wbn#2R`o2wjOJUA3t#+lBe{5ZKpMUM<|*EFQXw7M(0^&tl9fc` z>e@u`k3Fr3hVzQ0H*9?@r0tL|QNFA_`xq)_I%{K5RHRd#YqgTtRx&CEDS z!i=rN{_fVa#0WSre1M}Mhv4X(dvxp%>Pgkzo4ch21|jUC-!=$$9Wq>RuLuewgp<9T z+R@FfC%a3$n(FH(VEZ&Zd^~?7|1T&c8&qg?B%x3%D7*urZ@YV6R{F(;Nab9!%B@aL zPD_~}{;BEdten~hX;5A1=)^sC*~MKID*n%U1+V+czxC=tjRk}#Pj`2551XZw%1cmI zT>eh=LQAELg#asntVG?rH;ocbnR1zH(F>t978)%~M&3Zmg2sC6(ubQNfA5DE39iA{ z+xp@Hr5ypE5{Tq}S#P8ir}4Ho=*vjx_b)y9!4eB2hLTc9c=*>(kq6Nl@JC||MREcb zlXrm|wuW^^z)0}lz1hwS-?XfX9DkM^-bItH8h60t*YDqQj-AI2Dy4cB2@XOC#Xq1$ z^X0*Vm>BwfqKdq`eipfheRRH{u};UfZy){@=4G(H_Rz>vxIXZx&aSR)bS$$FtPS8U z*vH5SWtl_P`-9y(@AMxmZxQ}*UG?8T7kjUyHpGRWUK>`(6Vj5EOKAHV_ zs*Cp^YE@Gav16*C;o;{@O-*%mTah1c?}>Rlk{^ps3dl4LjK$f9Vz#2lt)x#Bl1Ce} zWv=rZs%uS64Fp_s5k(2?DonJ|%3PQ)KrzexP+My^SQkgJQ-fi&-@Q=oX1ED0U2+7z zQS=as?l|Tu&YwrXT{>!fQU;PDrX^sKP`bU>Y+T>Ytd{!l!GqARp5Q=F2m39}63LxK z?w^%Uj3hdS7235t11>tevb7{QcneWcfH{Zhu;FMfO=p6ik$5Q;T>*5rE_&BjLn}6Id!h4$O+M3%2Jw7(zG3 z2P<%zid$_$(98JDUxtqMW>aRu88)g<&;LIyYLxOEu`<)FN(f+>E`7|hd(2yr0ng-pcY>&x!O=wrNkF?OYsRp$?->iy(&xK)2DsV znP7sHxZEZT;p2_I0CU*MlPBfZS6n>~N*p_P?wt9JB*FW#C;#bg2Vdt-BY&3tGp1+~ z=7qZ+_#A`rJfu^#@}1dgL*i&67C;`SX5tomvHEIb7xOwkogBe|ktn1Nm;-?ON-*04 z&pZ0Sii(P0?4Qq%-Ty+Ta3FHOv>R-MKk#X=#0|IS@DRbo2GAA1T($jS>}3*!sK{EE zrN8kmGY(0!*|9kK^xL=RU=Aoe-04StmRz4XwpT%b`Lv=UIHWhmm;|;~%XKj)euXI; z9%2{?hWh$WZU@pmZeDd8T?+uE93}yNw>6pRRkq`I-CNI1!I|YMz#UW@+8x(ABB{9ToO^_^wIo!TzgDJ4xubv{5tLnPpomlNka6 z)&bIkx9uGM#`*jAZzYu$z%=%0;aZUB=n+ji`?Nov2@Xhx?RCu+I6zO+!ju0};^ zT9*5-Vw#GMA-`<+_21*{uW;ZoH}?9qM%fCYn9KmC+Ir10c!zxwpdvW}N9yo{rVmOo zih;dxE+iIdH(sIzrVmwX0M!v)L%)7iT$GgDU~t3=9O2ZdEi+CKyub@k3OL|M5b_qg zh)M&L*}EQQTw?ble*)b)R^4jPE*65{?@{^nMS86RQD^)5`lyL?zxSE3wFdq(@dKZ0 z4bJcY&nce9q~$^}8*ZN(Xe9q9#9FmOEiw0kDqw4Q+-zhRx@t{kVvrhT&8ujGspm&q z>}ww!-g@!c5|$;Fv5T4FKR$f;Fa#`A(x*yyz;n9&7L1UT;c;i}oZHmZ`tF&|bFhXz z`}Qrug?iP;C+y>|gQxF8hgv{+>ylgar!-ZZ6q$@aKS2JLoC5S=fAi*?+70oZ(NS+y z)ZP5LnDe_I4gWZd_YOZxyh3j7)fV~FPzFAnjd{!hn}!Oor?xk*KdCZnZ8~bQsYtL) z@jwmm`Jb!EZna(eS(tGXXfvRn+63kdw0_@|NcaH&<5d%h`=VC;Edjd=jfsWa$0?ToYftNb)=kSSe{g~ zaf=S}1bMuP=@(dLU8|`ulG@HUU2f=p9^4bu~5T{XJ37P-C+5^S{*9?V{Q&@KNLZ z`QE-hb0??7$jJAN0{Y@e#z4GCOd|uDhVTKXsnx@nIMs9_$u%Q(bM1@I&U*{A-GAiUJHXD!1ChW?(X06-Gd=do6$mqv>u`;K)X__;(Ar$tB)% z&yY}nAI`sgy82=y9mW>t{!ft@A);jwvw>#?BQ9%LF%;KkK`VqPQeu(E#Ip#`q5Amm z=y*U&x7R-faKlZeWk0Sj6#_1fkvrObqFlVZ8EAe}#7)Z7OCJ7?l8ym6ux6ffkF{fg z5`>A0YaT3tWt_wlo8~d<1a~^==F_JK1s9S3O5rs@cmk6OU3@!LiJ3Rl42o452Un}l@F6XgoB8G zr2Jk0dinh@!n&|cSgXnJ=HLL2o`%AS`Dtk`E=BJ96W!$|Yus@g_4K|6td5x=+hF%C z)l2Te@rTYXM(wOIE6k#M9<>h$i%Ej1@}*I+E@s$AMx+Ux3|4rkb`$&BC0l+Wj@pnfzR8~GsOH-gzZ6CNI3 zT)YhXpO|kyDh4T;5)rkL+k-1G=#&P9vL<&5lccI<78WUZU%7v2g~c901Fl^(@S~)e zwGyP??ZX+yu=RGS?aTt`5$Bheub-1&Rip~NdpE6Rcpx()gLjY|%0LoILLYVM$Uk-? zv!$0WUs8tF3tiK{NRH+`5pyckpVyE(H7c|VTiZTEL&(KYz%{BXl{hG{6{cCq4t zJH8Ay)779hTj@ zb~WQ-QR=BTZ(IyBa8F%*kqN5Cr#&+}i~iseZbiH<6)+lxHvPBGy_ocZQZG9=P!rLiDf`ygc#q*pXWsj&st^WE1A}K?zX|TaPz(cugHNfd(#{Bl zS2IyzM-qkFP`C&wRO60bQ1*`DW5p8VRZo<@+$HMwhq5Mfiejtmx$5#1+)i2 z7e`t>FD_ruay$L%bzn!G4OS2YhBD`q_;sD~n;z^}0XrE|#ZESS;iSnuej>#_v#7`* zzLwBINj`zqeRTVeX$*ybURy9L2HfP3a^X69^r)cVL~RuR?1mq}Zs;$99gQwr(2Fxp zoWXClNHwBGzX_8^4-RYP#udA)HEq}Rd4AoiLY7N-CxmKlyO#%H=LlzL1iD|WKxz>* zDw>6)3Sd2RYd1gU8sSrPMJ#WsGq6UP2o4SgN>0wpn}cm^SnvQHUO`1HU!9LP9{dua z%%xZ_#jN1RNel{oos;A0>-qcQL)PX$Q&XJen~G1Cz8bNYem|AN7RZiY zFEJ7;X3I$I|14DgK>k9_moI7Ou0R^DCPxIU^l_lO2Y`$Ml(u5+)Kzq9t!&_F;7`$= zp^7X=G;NQLEnP(e0yjxTLOj@@>r>OZ0uxVuLe1 zwQ4miEtsxz!Z04@U4i(Jg73~>{C7Mt8uK$mbR2-}eZk^UUO;ka zfY41nej!M~)ZARl*jUc@?-Vj$ZTN^r`i1Y+;L%Wj(XCM^-o;2l!Ii|fK>r0r7KM3A zRu&Rq!1}7^8~qp6Z`N#vO0iZW_SXoz7#U-C$R(D8FH#x_=zOZaI*#6$lzfMQ=F?k-;z%vXQaG5U5O>Y0lBh{rt89_JeVM*S>n)I)c!9|Ln9W3 z4N}@`c%49l+tDz>RYI_AF;dvRV}~5ZVbS#&ZQ@rn1~7DVe3_nZjpI5edV;W3X?ZIX zChhR+3xF!SUK+_@Qo_9jtv|@;c9xa{V`Ffx*(ZRlq$+TJ^L>^)@Pcj-jV}}_JRS=D zwsk@W8FN}X=#BgNkI^f@BuHR7EyQD7=#mNwHKwA!bP3DqiPJ}M`@tI_*R&5}&z(DT{yrP^uT}0RG*Q?e z^6q3;ae*Au88tOQAt5wTo|Zk?s1f+jlmU5to2Z;-#Qs8+4hUC-GpE!QUy@9({WqyG Bxv&5L literal 0 HcmV?d00001 diff --git a/defl.m b/defl.m index a73df33..8ab8d82 100644 --- a/defl.m +++ b/defl.m @@ -11,7 +11,7 @@ h = 0.01; %m l = 1; %m %Placeholder frequency -%freq = 150; +freq = 150; %Derived variables I = (b*(h^3))/12; % m^4 diff --git a/solveODE.m b/solveODE.m index 281d617..9da05bc 100644 --- a/solveODE.m +++ b/solveODE.m @@ -9,7 +9,7 @@ l = 1; %m I = (b*(h^3))/12; % m^4 area = b*h; %m^2 -[x,w] = ode45(@defl,[0 1],[0;0.001;0;-0.1]); +[x,w] = ode45(@defl,[0 1],[0;0;0;0]); plot(x,w(:,1),'-o',x,w(:,2),'-o') title('Depiction of Beam Deflection with ODE45'); xlabel('Position x (m)');