Konvergenz zu Frequenz, Tabelle zu den ersten 20 Eigenfrequenzen und zu der Abweichung der Frequenzen ein Balkendiagramm hinzugefügt

This commit is contained in:
2015-06-08 02:07:47 +02:00
parent 9997c2d4b9
commit 45d1ad03c6
4 changed files with 217 additions and 3 deletions

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@@ -24,6 +24,14 @@
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%\everymath{\color{blue}}
%\everydisplay{\color{darkblue}}

11
datas/Frequenzen.dat Normal file
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@@ -0,0 +1,11 @@
46068 0.30733 0.3175 0.5776 0.7176 0.76171 0.8668 1.0764 1.1467 1.1774 1.6941 2.4639 2.5383 2.6972 2.8374 3.0329 3.3267 3.7732 4.1709 4.1714 4.2145
51222 0.32413 0.33697 0.60226 0.76984 0.78424 0.86591 1.0849 1.1519 1.1831 1.7972 2.5021 2.5751 2.6956 2.8557 3.0508 3.3817 3.7536 4.1378 4.1394 4.2416
60708 0.30752 0.31925 0.56549 0.72026 0.76245 0.86565 1.073 1.1497 1.1752 1.7012 2.4664 2.5399 2.6952 2.836 3.042 3.3394 3.7241 4.0681 4.0694 4.2479
70230 0.30791 0.31929 0.56506 0.70673 0.76246 0.86525 1.07 1.1453 1.1726 1.7034 2.4576 2.5341 2.6886 2.8341 3.0476 3.3255 3.716 4.0374 4.0379 4.2273
95286 0.31058 0.31936 0.57807 0.68948 0.7682 0.86876 1.0788 1.1513 1.1807 1.7157 2.4585 2.541 2.6954 2.8358 3.0481 3.3148 3.703 3.9966 3.9966 4.247
1.275e+05 0.31128 0.32009 0.57855 0.69275 0.76606 0.86549 1.0767 1.1475 1.1767 1.7179 2.4488 2.5402 2.6968 2.8373 3.054 3.3128 3.6949 3.9657 3.9665 4.2437
1.8857e+05 0.31137 0.31954 0.57623 0.67513 0.77209 0.87339 1.0755 1.1363 1.1698 1.7247 2.4223 2.5447 2.7063 2.8482 3.0551 3.2875 3.6835 3.9389 3.9402 4.1398
3.0508e+05 0.31039 0.31954 0.56643 0.66774 0.76984 0.87117 1.0723 1.1392 1.1684 1.7231 2.4188 2.5372 2.6974 2.8411 3.0528 3.2815 3.6746 3.9205 3.921 4.0976
6.5206e+05 0.30873 0.31883 0.55243 0.65053 0.76845 0.87062 1.0671 1.1311 1.165 1.7211 2.4013 2.5261 2.6874 2.8331 3.0444 3.2661 3.6651 3.9054 3.9056 4.0464
2.4303e+06 0.30439 0.31488 0.52052 0.59589 0.77637 0.87926 1.0541 1.1229 1.1522 1.7222 2.3513 2.5132 2.6714 2.8319 2.9965 3.2217 3.6159 3.7518 3.8969 3.8972
2.7113e+06 0.30475 0.31505 0.52218 0.59827 0.78136 0.88509 1.061 1.127 1.1612 1.7263 2.3633 2.5191 2.6834 2.8389 2.9971 3.2276 3.6176 3.7598 3.8969 3.8972

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@@ -243,6 +243,124 @@ Mit den abschließenden Zeilen werden die Ebenen mit dem Modell verknüpft. Zuvo
\subsubsection{Netz}
%\begin{figure}[H]\centering
%\begin{tikzpicture}[]
%\begin{axis}[
% width=11.0cm, height=5cm,
% title={},
% enlarge x limits=false,
% enlarge y limits=false,
% scale only axis,
% grid=major,
% tick align = outside,
% axis lines=left,
% xmode=log,log basis x=10,
% xmin=80000,
% xmax=370000,
% ymin=0,
% ymax=1100,
% xlabel={Knotenanzahl},
% ylabel={\ref{pgfplots:konvergenz:wiege:sigma} Max.\,Spannung $\sigma\ti{Mises}$ in MPa},
% yticklabel style={ /pgf/number format/.cd,fixed,fixed zerofill,precision=0},
% ytick={0,200,...,1400},
% legend style={
% nodes=right,
% font=\small,
% },
% legend pos=south west,
%]
% \pgfplotstableread[col sep=semicolon]{data/Konvergenz.csv}\datatable
% \addplot[draw1, mark=x] table[skip first n=1, x index=0,x expr=\thisrowno{0}*1, y index=2] from \datatable;
% \label{pgfplots:konvergenz:wiege:sigma}
%\end{axis}
%\begin{axis}[
% width=11.0cm, height=5cm,
% enlarge x limits=false,
% enlarge y limits=false,
% scale only axis,
% tick align = outside,
% axis y line*=right,
% xmode=log,log basis x=10,
% xmin=80000,
% xmax=370000,
% ymin=0,
% ymax=22,
% ytick={4,8,...,25},
% ylabel={\ref{pgfplots:konvergenz:wiege:U} Max.\,Verformung $U$ in mm},
% axis x line=none,
% legend style={
% nodes=right,
% font=\small,
% },
% legend pos=south east,
%]
% \pgfplotstableread[col sep=semicolon]{data/Konvergenz.csv}\datatable
%\addplot[draw2, mark=*,mark size=1] table[skip first n=1, x index=0,x expr=\thisrowno{0}*1, y index=3] from \datatable;
% \label{pgfplots:konvergenz:wiege:U}
%\end{axis}
%\end{tikzpicture}%
%\caption[
%Konvergenzstudie zur maximalen Vergleichsspannung und der maximalen Verformung
%]{
%Konvergenzstudie zur maximalen Vergleichsspannung $\sigma\ti{Mises}$~\ref{pgfplots:konvergenz:wiege:sigma} und der maximalen Verformung $U$~\ref{pgfplots:konvergenz:wiege:U}
%}\label{fig:konvergenz:wiege}
%\end{figure} \vspace{-.5em}
%\begin{figure}[H]
\begin{figure}[H]\centering %!htb
\begin{tikzpicture}[]
\begin{axis}[
width=12cm, height=5cm,
title={},
enlarge x limits=false,
enlarge y limits=false,
scale only axis,
grid=major, %grid style={dashed, gray!30},
tick align = outside,
axis lines=left, % middle
xmode=log,log basis x=10,
xmin=40000,
xmax=3100000,
ymin=0,
ymax=3.6,
xlabel={Freiheitsgrade},
ylabel={Eigenfrequenzen $f_i$ in Hz},
yticklabel style={ /pgf/number format/.cd,fixed,fixed zerofill,precision=1},
ytick={0,.5,...,3.5},
legend style={
nodes=right,
font=\small,
},
legend pos=south west,
]
\pgfplotstableread{datas/Frequenzen.dat}\datatable
\addplot[matlab1, thick, mark=x] table[x index=0, y index=1] from \datatable;
\addplot[matlab2, thick, mark=x] table[x index=0, y index=2] from \datatable;
\addplot[matlab3, thick, mark=x] table[x index=0, y index=3] from \datatable;
\addplot[matlab4, thick, mark=x] table[x index=0, y index=4] from \datatable;
\addplot[matlab5, thick, mark=x] table[x index=0, y index=5] from \datatable;
\addplot[matlab6, thick, mark=x] table[x index=0, y index=6] from \datatable;
\addplot[matlab7, thick, mark=x] table[x index=0, y index=7] from \datatable;
\addplot[matlab1, thick, mark=x] table[x index=0, y index=8] from \datatable;
\addplot[matlab2, thick, mark=x] table[x index=0, y index=9] from \datatable;
\addplot[matlab3, thick, mark=x] table[x index=0, y index=10] from \datatable;
\addplot[matlab4, thick, mark=x] table[x index=0, y index=11] from \datatable;
\addplot[matlab5, thick, mark=x] table[x index=0, y index=12] from \datatable;
\addplot[matlab6, thick, mark=x] table[x index=0, y index=13] from \datatable;
\addplot[matlab7, thick, mark=x] table[x index=0, y index=14] from \datatable;
\addplot[matlab1, thick, mark=x] table[x index=0, y index=15] from \datatable;
\addplot[matlab2, thick, mark=x] table[x index=0, y index=16] from \datatable;
\end{axis}
\end{tikzpicture}%
\caption[
Konvergenzstudie zur Eigenfrequenz der Windenergieanlage
]{
Konvergenzstudie zur Eigenfrequenz der Windenergieanlage
}\label{fig:konvergenz:wiege}
\end{figure} \vspace{-.5em} %\vspace{-1.5em}
\subsubsection{Randbedingungen}
\subsubsection{Analyseparameter}

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@@ -26,17 +26,40 @@
\end{figure} \vspace{-1.5em}
% SOURCE: 506418 200_350.txt
\begin{table}[H]
\caption[Frequenzen]{Frequenzen}\label{tab:U:Modal}\centering
\caption[Eigenfrequenzen der Windenergieanlage]{Eigenfrequenzen der Windenergieanlage}\label{tab:U:Modal}\centering
\STsetdecimalsep{{,}}
\STautoround{4}
\nprounddigits2
\npthousandsep{}
\begin{spreadtab}{{tabular}{rlrlrlrl}}
\toprule
@\multicolumn{8}{l}{Eigenfrequenz in Hz} \\
\midrule
1 & 0.30571 & 6 & 0.79566 & 11 & 2.2585 & 16 & 3.2099 \\
2 & 0.3114 & 7 & 0.97752 & 12 & 2.3304 & 17 & 3.6662 \\
3 & 0.53168 & 8 & 1.0102 & 13 & 2.4541 & 18 & 3.8148 \\
4 & 0.59009 & 9 & 1.0756 & 14 & 2.6294 & 19 & 3.9288 \\
5 & 0.70143 & 10 & 1.639 & 15 & 3.02 & 20 & 3.9289 \\
\bottomrule
\end{spreadtab}
\end{table}\vspace{-1em}
\begin{table}[H]
\caption[Vergleich der Eigenfrequenzen mit der NREL-Ausgangs-WEA]{Vergleich der Eigenfrequenzen mit der NREL-Ausgangs-WEA}\label{tab:U:Modalvergleich}\centering
\STsetdecimalsep{{,}}
\STautoround{4}
\nprounddigits2
\npthousandsep{}
%\begin{spreadtab}{{tabular}{rn{1}{4}n{1}{4}|cln{1}{4}n{1}{4}}}
\begin{spreadtab}{{tabular}{rll|cln{2}{1}n{2}{1}}}
\begin{spreadtab}{{tabular}{rll|cln{3}{2}n{3}{2}}}
%\begin{tabular}{rcc|rllll}
\toprule
& @ \multicolumn{2}{l|}{Frequenz in Hz} & & @{Frequenz aus} & @\multicolumn{2}{l}{Verhältnis in \% zu} \\
& @ \multicolumn{2}{l|}{Frequenz in Hz} & & @{Frequenz aus} & @\multicolumn{2}{l}{Abweichung in \% zu} \\
@ \# & @{FAST} & @{ADAMS} & @ \# & @{Simulation in Hz} & @{FAST} & @{ADAMS} \\ \midrule
1 & 0.3240 & 0.3195 & 1 & 0.30571 & \STcopy{v}{(1-e3/b3)*100} & \STcopy{v}{(1-e3/c3)*100} \\
2 & 0.3120 & 0.3164 & 2 & 0.3114 & & \\
@@ -58,6 +81,60 @@
\end{spreadtab}
\end{table}\vspace{-1em}
\begin{figure}[H]\vspace{-0.5em}\centering
\begin{tikzpicture}[scale=0.85]
\begin{axis}[
ybar=0pt,
tick align=outside,
width=16.25cm,
height=6.5cm,
bar width={11pt}, % 8, 10pt
enlargelimits=0.13,
enlarge x limits=0.05,
enlarge y limits=0.04,
%nodes near coords,
nodes near coords=\rotatebox{90}{\scriptsize\pgfmathprintnumber[/pgf/number format/.cd,fixed,fixed zerofill,precision=1]\pgfplotspointmeta},
%nodes near coords align=horizontal,
point meta=y * 1, % The displayed number.
xlabel={Eigenfrequenz},
ylabel={Abweichung in \%},
ytick={-20,-10,...,20},
xtick={1,...,13},
%y dir=reverse,
ymin=-25,
ymax=28,
%xticklabels={{OK,OR},{OK,S,L},{OK,S,R},{OK,SR,V},{OK,SR,HL},{OK,SR,HR},{VK,OR},{VK,UR},{VK,SKR,O},{VK,SKR,U},{UK,UR},{UK,SR},{UK,S,L},{UK,S,R},{UK,TL}},
%x tick label style={rotate=45, anchor=north east, inner sep=0mm},
ymajorgrids,
axis x line*=left,
axis y line*=left,
legend columns=1,
legend style={
ultra thin,
append after command={
\pgfextra{
\draw[draw=none,
drop shadow={fill=black, opacity=0.25, shadow xshift=1pt, shadow yshift=1pt}]
(\tikzlastnode.south west)rectangle(\tikzlastnode.north east);
}
},
/tikz/every even column/.append style={column sep=0.5em},
at={(axis cs:0.5,250)},anchor=south west
},
%legend pos=north west,
]
\addplot[draw=navyblue,fill=navyblue!50,drop shadow={shadow yshift=1pt, shadow xshift=1pt}]
coordinates
{(1,5.65) (2,0.19) (3,4.90) (4,20.21) (5,-5.08) (6,-13.79) (7,6.40) (8,1.30) (9,14.46) (10,14.74) (11,-11.78) (12,-4.13) (13,-9.33) };\label{pgfplots:U:Abweichung:FAST}
\addplot[draw=dkgreen,fill=dkgreen!50,drop shadow={shadow yshift=1pt, shadow xshift=1pt}]
coordinates
{(1,4.32) (2,1.58) (3,3.17) (4,15.55) (5,-4.91) (6,-13.36) (7,5.94) (8,1.11) (9,-0.20) (10,11.68) (11,-15.22) (12,-5.63) (13,-9.15) };\label{pgfplots:U:Abweichung:ADAMS}
\end{axis}
\end{tikzpicture}
\caption[Abweichung der Eigenfrequenzen bezüglich der NREL-Ergebnissen]{Abweichung der Eigenfrequenzen bezüglich der NREL-Ergebnissen zu FAST~\ref{pgfplots:U:Abweichung:FAST} und ADAMS~\ref{pgfplots:U:Abweichung:ADAMS}}
\label{fig:U:Abweichung}
\end{figure} \vspace{-0.5em}
\subsection{Transiente Analyse}