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Konvergenzstudie mit neuen Rechnungen ersetzt und Materialzusammensetzung und Dickenverlauf mit zwei weiteren Abbildungen dargestellt

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Daniel Weschke
2015-08-03 15:40:14 +02:00
parent 80f8e7ebe6
commit 1e2cc5a661
12 changed files with 2727 additions and 33 deletions
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28
Preamble/Main.tex
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@@ -479,6 +479,7 @@
\usepackage{tikz} \usepackage{tikz}
\usepackage{pgfplots} % ,pgfmath \usepackage{pgfplots} % ,pgfmath
\usepgflibrary{shapes.geometric} \usepgflibrary{shapes.geometric}
\usepgfplotslibrary{patchplots}
\usepackage{tabularx} \usepackage{tabularx}
\usetikzlibrary{ \usetikzlibrary{
arrows, % for arrow heads arrows, % for arrow heads
@@ -576,6 +577,33 @@
} }
\makeatother \makeatother
\pgfplotsset{%
,compat=1.11
,colormap={parula}{%
rgb=(0.2081,0.1663,0.5292)rgb=(0.2116,0.1898,0.5777)rgb=(0.2123,0.2138,0.627)
rgb=(0.2081,0.2386,0.6771)rgb=(0.1959,0.2645,0.7279)rgb=(0.1707,0.2919,0.7792)
rgb=(0.1253,0.3242,0.8303)rgb=(0.0591,0.3598,0.8683)rgb=(0.0117,0.3875,0.882)
rgb=(0.006,0.4086,0.8828) rgb=(0.0165,0.4266,0.8786)rgb=(0.0329,0.443,0.872)
rgb=(0.0498,0.4586,0.8641)rgb=(0.0629,0.4737,0.8554)rgb=(0.0723,0.4887,0.8467)
rgb=(0.0779,0.504,0.8384) rgb=(0.0793,0.52,0.8312) rgb=(0.0749,0.5375,0.8263)
rgb=(0.0641,0.557,0.824) rgb=(0.0488,0.5772,0.8228)rgb=(0.0343,0.5966,0.8199)
rgb=(0.0265,0.6137,0.8135)rgb=(0.0239,0.6287,0.8038)rgb=(0.0231,0.6418,0.7913)
rgb=(0.0228,0.6535,0.7768)rgb=(0.0267,0.6642,0.7607)rgb=(0.0384,0.6743,0.7436)
rgb=(0.059,0.6838,0.7254) rgb=(0.0843,0.6928,0.7062)rgb=(0.1133,0.7015,0.6859)
rgb=(0.1453,0.7098,0.6646)rgb=(0.1801,0.7177,0.6424)rgb=(0.2178,0.725,0.6193)
rgb=(0.2586,0.7317,0.5954)rgb=(0.3022,0.7376,0.5712)rgb=(0.3482,0.7424,0.5473)
rgb=(0.3953,0.7459,0.5244)rgb=(0.442,0.7481,0.5033) rgb=(0.4871,0.7491,0.484)
rgb=(0.53,0.7491,0.4661) rgb=(0.5709,0.7485,0.4494)rgb=(0.6099,0.7473,0.4337)
rgb=(0.6473,0.7456,0.4188)rgb=(0.6834,0.7435,0.4044)rgb=(0.7184,0.7411,0.3905)
rgb=(0.7525,0.7384,0.3768)rgb=(0.7858,0.7356,0.3633)rgb=(0.8185,0.7327,0.3498)
rgb=(0.8507,0.7299,0.336) rgb=(0.8824,0.7274,0.3217)rgb=(0.9139,0.7258,0.3063)
rgb=(0.945,0.7261,0.2886) rgb=(0.9739,0.7314,0.2666)rgb=(0.9938,0.7455,0.2403)
rgb=(0.999,0.7653,0.2164) rgb=(0.9955,0.7861,0.1967)rgb=(0.988,0.8066,0.1794)
rgb=(0.9789,0.8271,0.1633)rgb=(0.9697,0.8481,0.1475)rgb=(0.9626,0.8705,0.1309)
rgb=(0.9589,0.8949,0.1132)rgb=(0.9598,0.9218,0.0948)rgb=(0.9661,0.9514,0.0755)
rgb=(0.9763,0.9831,0.0538)
}
}
\pgfplotsset{ \pgfplotsset{
compat=1.7, % or newest, compat=1.7, % or newest,

15
datas/Statische_Ergebnisse_Eigengewicht.dat Normal file
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@@ -0,0 +1,15 @@
h p DOFs umax smax
1000 1 42931 433.96 88.829
900 1 46207 436.65 90.122
800 1 50305 434.68 94.243
700 1 55405 436.01 90.938
650 1 63265 437.19 61.016
600 1 70771 433.51 61.11
500 1 88747 445.16 57.126
400 1 121975 450.36 56.516
300 1 184651 451.29 58.804
250 1 252139 452.27 57.192
230 1 283135 452.5 56.287
175 1 462799 451.95 57.375
140 1 684931 452.66 57.249

30
datas/Statische_Ergebnisse_Eigengewicht_Einzellast_Beides.dat Normal file
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@@ -0,0 +1,30 @@
h p DOFs umax smax umax smax umax smax
1000 1 42931 433.96 88.829 3781.6 58.441 3951.8 106.73
950 1 44533 435.66 88.593 3781.3 63.233
900 1 46207 436.65 90.122 3785.5 64.284 3955.1 108.29
850 1 48601 436.93 95.198 3783.1 62.565
800 1 50305 434.68 94.243 3776.1 62.388
700 1 55405 436.01 90.938 3775.9 60.743
650 1 63265 437.19 61.016 3776 61.003
600 1 70771 433.51 61.11 3739.5 85.682 64.981 85.682
500 1 88747 445.16 57.126 3709.1 86.503 64.246 86.503
400 1 121975 450.36 53.516 3630.4 79.242 64.147 79.242
350 1 143743 451.59 62.144 3630.3 79.284 79.284
300 1 184651 451.29 58.804 3627.6 90.256 65.731 90.256
250 1 252139 452.27 57.192
240 1 268225 452.3 56.395 3611.6 92.602
235 1 275527 452.53 56.392 3612.1 92.568
230 1 283135 452.5 56.287 3612.1 92.558
225 1 296557 452.52 58.667 3612 92.551
200 1 367747 452.42 64.907 3611.5 3855.8 93.635 93.635 112.51
175 1 462799 451.95 57.375 3873.2 115.48
160 1 533029 452.65 65.338 3606.4 93.366
150 1 604939 452.6 67.175 3606.1 93.77 65.565 93.77
140 1 684931 452.66 57.249 3604.6 92.248
125 1 840745 448.08 58.121 3603.8 91.683
100 1 1287781 440.71 62.361 3604.3 92.819 65.232 92.819
90 1 1558099 433.96 47.913 3603.4 123.89
80 1 1962955 433.8 60.867 3603.9 123.72
70 1 2526169 425.44 48.812 3604.1 200.74
60 1 3391465 425.33 52.3731
50 1 4869493 425.22 54.156

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datas/Statische_Ergebnisse_Einzellast.dat Normal file
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@@ -0,0 +1,23 @@
h p DOFs umax smax
1000 1 42931 3781.6 58.441
950 1 44533 3781.3 63.233
900 1 46207 3785.5 64.284
850 1 48601 3783.1 62.565
800 1 50305 3776.1 62.38
700 1 55405 3775.9 60.743
650 1 63265 3776 61.003
600 1 70771 3739.5 85.682
500 1 88747 3709.1 86.503
400 1 121975 3630.4 79.242
350 1 143743 3630.3 79.284
300 1 184651 3627.6 90.256
240 1 268225 3611.6 92.602
235 1 275527 3612.1 92.568
230 1 283135 3612.1 92.558
225 1 296557 3612 92.551
200 1 367747 3611.5 93.635
160 1 533029 3606.4 93.366
150 1 604939 3606.1 93.77
140 1 684931 3604.6 92.248
125 1 840745 3603.8 91.683
100 1 1287781 3604.3 92.819

14
datas/Statische_Ergebnisse_Einzellast2.dat Normal file
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@@ -0,0 +1,14 @@
h p DOFs umax smax
1000 1 42931 3781.6 58.441
950 1 44533 3781.3 63.233
900 1 46207 3785.5 64.284
850 1 48601 3783.1 62.565
800 1 50305 3776.1 62.388
700 1 55405 3775.9 60.743
650 1 63265 3776 61.003
600 1 70771 3739.5 64.981
500 1 88747 3709.1 64.246
400 1 121975 3630.4 64.147
300 1 184651 3627.6 65.731
150 1 604939 3606.1 65.565
100 1 1287781 3604.3 65.232

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datas/thickness.dat Normal file
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@@ -0,0 +1,392 @@
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1.0000000e+00 4.1000000e+00 2.7310000e+01
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1.0000000e+00 6.8333000e+00 1.6030000e+01
1.0000000e+00 9.0000000e+00 5.6900000e+00
1.0000000e+00 1.0250000e+01 5.6900000e+00
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1.0000000e+00 2.0500000e+01 5.6900000e+00
1.0000000e+00 2.2550000e+01 5.6900000e+00
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1.0000000e+00 2.6650000e+01 5.6900000e+00
1.0000000e+00 3.0750000e+01 5.6900000e+00
1.0000000e+00 3.2000000e+01 5.6900000e+00
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392
datas/thicknessCarbon.dat Normal file
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392
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392
datas/thicknessGelcoat.dat Normal file
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1.4000000e+01 6.0133300e+01 0.0000000e+00

298
sections/Modellentwicklung.tex
View File

@@ -574,8 +574,236 @@ Schicht & 8, 13, 14 & 12 & 9, 11 & 10 & \leftarrow Unterseite\\
\bottomrule \bottomrule
\end{tabular} \end{tabular}
\end{table}\vspace{-1em} \end{table}\vspace{-1em}
[[~Durchschnittliche Dicke der Lagenaufbauten oder Lagenverlauf in eine Abbildung~]] %
Die Längsversteifungen haben stets den gleichen Lagenaufbau, mit den Dicken 2/50/2 in mm und den Materialen Saertex/Foam/Saertex. Die Materialzusammensetzung der fünf zur Verwendung kommenden Arten von Lagenaufbauten ist ist in der Tabelle~\ref{tab:Lagenaufbauten} aufgelistet.
Alle Lagenaufbauten der Außenhaut besitzen anteilig gleiche Materialzusammensetzungen, in der Weise, dass die ersten drei Schichten aus Gelcoat und SNL(Triax) sowie die jeweils letzte Schicht, ebenfalls aus SNL(Triax), zueinander identisch sind.
Das unterschiedliche Verhalten zueinander wird infolge der zusätzlichen Schichten aus E-LT-5500(UD), FOAM und Carbon(UD) mit unterschiedlichen Dicken bestimmt.
Die Längsversteifungen hingegen besitzen stets den gleichen Lagenaufbau, mit den Dicken 2/50/2 in mm und der Materialzusammensetzung Saertex(DB)/Foam/Saertex(DB).
Der Dickenverlauf zu den Lagenaufbauten ist in der Abbildung~\ref{fig:Dicke} dargestellt.
%
%\begin{figure}[H]\centering
%\includegraphics[width=0.95\textwidth]{thickness.png}
%\caption{Dickenverlauf zu den Lagenaufbauten im Rotorblatt}
%\label{fig:Dicke}
%\end{figure} \vspace{-1.5em}
%
\begin{figure}[H]\centering
\begin{tikzpicture}
\begin{axis}[
width=12.0cm, height=5.5cm,
colorbar,
% colormap/jet,
colorbar style={
ytick={0,20,...,100},
ylabel={Gesamtdicke in mm},
% yticklabels={$\le -3$, $-2$,$-1$, $0$},
},
xlabel = {Radius in m}, ylabel = Lagenaufbaunummer,
domain = 1:65, y domain = 1:14,
ytick={0,2,...,14},
view = {0}{90},
point meta min=0, point meta max=113,
ymax=14,
]
\pgfplotstableread{datas/thickness.dat}\datatable
\addplot3[
surf,
%patch,patch refines=1,
patch type=bilinear, % default rectangle; bilinear, biquadratic
shader=faceted interp,
mesh/rows=14,mesh/cols=28,
] table[skip first n=1,x index=1,y index=0,z index=2] from \datatable;
\node[fill=white, fill opacity=0.25, text opacity=1,rounded corners=2pt] at (axis cs:45,13.5,5.69) {\small $6$};
\node[fill=white, fill opacity=0.25, text opacity=1,rounded corners=2pt] at (axis cs:49,12.5,0) {\small $0$};
\node at (axis cs:6.8333,12,113.08) {\small $113$};
\node at (axis cs:28,12,70.39) {\small $70$};
\node at (axis cs:12,12,102.74) {\small $103$};
\node at (axis cs:17,11,95.69) {\small $96$};
\node at (axis cs:34.85,11,65.69) {\small $66$};
\node at (axis cs:20.5,10,47.99) {\small $48$};
\node at (axis cs:42,10,34.83) {\small $35$};
\node at (axis cs:26.65,9,25.69) {\small $26$};
\node at (axis cs:54.6667,9,25.69) {\small $26$};
\node[fill=white, fill opacity=0.25, text opacity=1,rounded corners=2pt] at (axis cs:32,7.5,5.69) {\small $6$};
\end{axis}
\end{tikzpicture}%
\caption{Dickenverlauf zu den Lagenaufbauten im Rotorblatt}\label{fig:Dicke}
\end{figure} \vspace{-.5em}
%
%
\begin{figure}[H]\centering
\begin{subfigure}[b]{0.49\textwidth}\centering
\begin{tikzpicture}
\begin{axis}[
width=6cm, height=3.5cm,
colorbar,
colorbar style={
%ytick={0,40,...,100},
%ylabel={Gesamtdicke in mm},
},
%xlabel = {Radius in m}, ylabel = Lagenaufbaunummer,
domain = 1:65, y domain = 1:14,
ytick={0,4,...,14},
view = {0}{90},
ymax=14,
]
\pgfplotstableread{datas/thickness.dat}\datatable
\addplot3[
surf,
patch type=bilinear,
shader=faceted interp,
mesh/rows=14,mesh/cols=28,
] table[skip first n=1,x index=1,y index=0,z index=2] from \datatable;
\end{axis}
\end{tikzpicture}%
\caption{Zusammengesetzt}
\label{fig:Dicke:Material:Gesamt}
\end{subfigure}
\hfill
\begin{subfigure}[b]{0.49\textwidth}\centering
\begin{tikzpicture}
\begin{axis}[
width=6cm, height=3.5cm,
colorbar,
colorbar style={
%ytick={0,40,...,100},
%ylabel={Gesamtdicke in mm},
},
%xlabel = {Radius in m}, ylabel = Lagenaufbaunummer,
domain = 1:65, y domain = 1:14,
ytick={0,4,...,14},
view = {0}{90},
ymax=14,
]
\pgfplotstableread{datas/thicknessGelcoat.dat}\datatable
\addplot3[
surf,
patch type=bilinear,
shader=faceted interp,
mesh/rows=14,mesh/cols=28,
] table[skip first n=1,x index=1,y index=0,z index=2] from \datatable;
\end{axis}
\end{tikzpicture}%
\caption{Gelcoat}
\label{fig:Dicke:Material:Gelcoat}
\end{subfigure}
\\[1em]
\begin{subfigure}[b]{0.49\textwidth}\centering
\begin{tikzpicture}
\begin{axis}[
width=6cm, height=3.5cm,
colorbar,
colorbar style={
%ytick={0,40,...,100},
%ylabel={Gesamtdicke in mm},
},
%xlabel = {Radius in m}, ylabel = Lagenaufbaunummer,
domain = 1:65, y domain = 1:14,
ytick={0,4,...,14},
view = {0}{90},
ymax=14,
]
\pgfplotstableread{datas/thicknessSNL.dat}\datatable
\addplot3[
surf,
patch type=bilinear,
shader=faceted interp,
mesh/rows=14,mesh/cols=28,
] table[skip first n=1,x index=1,y index=0,z index=2] from \datatable;
\end{axis}
\end{tikzpicture}%
\caption{SNL}
\label{fig:Dicke:Material:SNL(Triax)}
\end{subfigure}
\hfill
\begin{subfigure}[b]{0.49\textwidth}\centering
\begin{tikzpicture}
\begin{axis}[
width=6cm, height=3.5cm,
colorbar,
colorbar style={
%ytick={0,40,...,100},
%ylabel={Gesamtdicke in mm},
},
%xlabel = {Radius in m}, ylabel = Lagenaufbaunummer,
domain = 1:65, y domain = 1:14,
ytick={0,4,...,14},
view = {0}{90},
ymax=14,
]
\pgfplotstableread{datas/thicknessELT.dat}\datatable
\addplot3[
surf,
patch type=bilinear,
shader=faceted interp,
mesh/rows=14,mesh/cols=28,
] table[skip first n=1,x index=1,y index=0,z index=2] from \datatable;
\end{axis}
\end{tikzpicture}%
\caption{E-LT-5500(UD)}
\label{fig:Dicke:Material:ELT}
\end{subfigure}
\\[1em]
\begin{subfigure}[b]{0.49\textwidth}\centering
\begin{tikzpicture}
\begin{axis}[
width=6cm, height=3.5cm,
colorbar,
colorbar style={
%ytick={0,40,...,100},
%ylabel={Gesamtdicke in mm},
},
%xlabel = {Radius in m}, ylabel = Lagenaufbaunummer,
domain = 1:65, y domain = 1:14,
ytick={0,4,...,14},
view = {0}{90},
ymax=14,
]
\pgfplotstableread{datas/thicknessFOAM.dat}\datatable
\addplot3[
surf,
patch type=bilinear,
shader=faceted interp,
mesh/rows=14,mesh/cols=28,
] table[skip first n=1,x index=1,y index=0,z index=2] from \datatable;
\end{axis}
\end{tikzpicture}%
\caption{FOAM}
\label{fig:Dicke:Material:FOAM}
\end{subfigure}
\hfill
\begin{subfigure}[b]{0.49\textwidth}\centering
\begin{tikzpicture}
\begin{axis}[
width=6cm, height=3.5cm,
colorbar,
colorbar style={
%ytick={0,40,...,100},
%ylabel={Gesamtdicke in mm},
},
%xlabel = {Radius in m}, ylabel = Lagenaufbaunummer,
domain = 1:65, y domain = 1:14,
ytick={0,4,...,14},
view = {0}{90},
ymax=14,
]
\pgfplotstableread{datas/thicknessCarbon.dat}\datatable
\addplot3[
surf,
patch type=bilinear,
shader=faceted interp,
mesh/rows=14,mesh/cols=28,
] table[skip first n=1,x index=1,y index=0,z index=2] from \datatable;
\end{axis}
\end{tikzpicture}%
\caption{Carbon(UD)}
\label{fig:Dicke:Material:Carbon}
\end{subfigure}
\caption{Dickenverlauf einelner Materialien zu den Lagenaufbauten im Rotorblatt}\label{fig:Dicke:Material}
\end{figure} \vspace{-.5em}
%
\subsubsection{Elemente} \subsubsection{Elemente}
Infolge der Flächenmodellierung der \ac{WEA} ist das Simulationsmodell mit Schalenelemente modelliert. Infolge der Flächenmodellierung der \ac{WEA} ist das Simulationsmodell mit Schalenelemente modelliert.
@@ -612,13 +840,13 @@ Eingebaute Kontaktpartner sind in Abbildung \ref{fig:Kontakte} dargestellt.
\includegraphics[width=1.4cm]{ANSYS_WB_Strukturbaum_Netz.png} \includegraphics[width=1.4cm]{ANSYS_WB_Strukturbaum_Netz.png}
}\\\nopagebreak }\\\nopagebreak
% %
In der Abbildung~\ref{fig:konvergenz:statik} ist die Konvergenzanalyse zur maximalen Vergleichspannung~\(\sigma\ti{Mises}\) und der maximalen Verformung~\(U\) zu einer statischen Analyse dargestellt, worin die Anlage dem Eigengewicht ausgesetzt ist. In der Abbildung~\ref{fig:konvergenz:statik:Eigengewicht} ist die Konvergenzanalyse zur maximalen Vergleichspannung~\(\sigma\ti{Mises}\) und der maximalen Verformung~\(U\) zu einer statischen Analyse dargestellt, worin die Anlage dem Eigengewicht ausgesetzt ist.
Die Abbildung~\ref{fig:konvergenz:modal} zeigt hingegen die Konvergenzanalyse zu den Eigenfrequenzen der Anlage. Die Abbildung~\ref{fig:konvergenz:modal} zeigt hingegen die Konvergenzanalyse zu den Eigenfrequenzen der Anlage.
Bei der Netzwahl wurde die globale Elementkantengröße zuerst von \unit{1000}{mm} bis auf \unit{100}{mm} herabgesetzt. Bei der Netzwahl wurde die globale Elementkantengröße zuerst von \unit{1000}{mm} bis auf \unit{100}{mm} herabgesetzt.
Anschließend wurde die in ANSYS verfügbare Einstellung \emph{Relevanz} immer weiter hoch gesetzt. Anschließend wurde die in ANSYS verfügbare Einstellung \emph{Relevanz} immer weiter hoch gesetzt.
Diese Funktion verfeinert das Netz mit internen ANSYS-Regeln. Diese Funktion verfeinert das Netz mit internen ANSYS-Regeln.
Einzelne Elemente erreichten dabei Elementkantengrößen im Bereich von \unit{70}{mm}. Einzelne Elemente erreichten dabei Elementkantengrößen im Bereich von \unit{70}{mm}.
Den Spannungs- und Verformungswerten beziehungsweise den Eigenfrequenzwerten werden die Anzahl von Freiheitsgrade gegenübergestellt, dessen Intervall von etwa 40.000 bis 3.000.000 läuft. Den Spannungs- und Verformungswerten beziehungsweise den Eigenfrequenzwerten werden die Anzahl von Freiheitsgrade gegenübergestellt, dessen Intervall von etwa 40.000 bis 1.000.000 läuft.
% %
\begin{figure}[H]\centering \begin{figure}[H]\centering
\begin{tikzpicture}[] \begin{tikzpicture}[]
@@ -633,21 +861,22 @@ Den Spannungs- und Verformungswerten beziehungsweise den Eigenfrequenzwerten wer
axis lines=left, axis lines=left,
xmode=log,log basis x=10, xmode=log,log basis x=10,
xmin=40000, xmin=40000,
xmax=2600000, xmax=700000,
ymin=0, ymin=0,
ymax=1100, ymax=110,
xlabel={Anzahl der Freiheitsgrade}, xlabel={Anzahl der Freiheitsgrade},
ylabel={\ref{pgfplots:konvergenz:sigma} Max.\,Spannung $\sigma\ti{Mises}$ in MPa}, ylabel={\ref{pgfplots:konvergenz:sigma} Max.\,Spannung $\sigma\ti{Mises}$ in MPa},
yticklabel style={ /pgf/number format/.cd,fixed,fixed zerofill,precision=0}, yticklabel style={ /pgf/number format/.cd,fixed,fixed zerofill,precision=0},
ytick={0,200,...,1400}, ytick={0,20,...,100},
legend style={ legend style={
nodes=right, nodes=right,
font=\small, font=\small,
}, },
legend pos=south west, legend pos=south west,
] ]
\pgfplotstableread{datas/Statische_Ergebnisse.dat}\datatable %\pgfplotstableread{datas/Statische_Ergebnisse.dat}\datatable
\addplot[draw1, mark=x] table[skip first n=1, x index=1,x expr=\thisrowno{1}*1, y index=3] from \datatable; \pgfplotstableread{datas/Statische_Ergebnisse_Eigengewicht.dat}\datatable
\addplot[draw1, mark=x] table[skip first n=1, x index=2,x expr=\thisrowno{2}*1, y index=4] from \datatable;
\label{pgfplots:konvergenz:sigma} \label{pgfplots:konvergenz:sigma}
\end{axis} \end{axis}
\begin{axis}[ \begin{axis}[
@@ -659,7 +888,7 @@ Den Spannungs- und Verformungswerten beziehungsweise den Eigenfrequenzwerten wer
axis y line*=right, axis y line*=right,
xmode=log,log basis x=10, xmode=log,log basis x=10,
xmin=40000, xmin=40000,
xmax=2600000, xmax=700000,
ymin=0, ymin=0,
ymax=550, ymax=550,
ytick={100,200,...,500}, ytick={100,200,...,500},
@@ -671,16 +900,17 @@ Den Spannungs- und Verformungswerten beziehungsweise den Eigenfrequenzwerten wer
}, },
legend pos=south east, legend pos=south east,
] ]
\pgfplotstableread{datas/Statische_Ergebnisse.dat}\datatable %\pgfplotstableread{datas/Statische_Ergebnisse.dat}\datatable
\addplot[draw2, mark=*,mark size=1] table[skip first n=1, x index=1,x expr=\thisrowno{1}*1, y index=2] from \datatable; \pgfplotstableread{datas/Statische_Ergebnisse_Eigengewicht.dat}\datatable
\addplot[draw2, mark=*,mark size=1] table[skip first n=1, x index=2,x expr=\thisrowno{2}*1, y index=3] from \datatable;
\label{pgfplots:konvergenz:u} \label{pgfplots:konvergenz:u}
\end{axis} \end{axis}
\end{tikzpicture}% \end{tikzpicture}%
\caption[ \caption[
Konvergenzstudie zur maximalen Vergleichsspannung und der maximalen Verformung Konvergenzstudie zur maximalen Vergleichsspannung und der maximalen Verformung infolge des Eigengewichts
]{ ]{
Konvergenzstudie zur maximalen Vergleichsspannung $\sigma\ti{Mises}$~\ref{pgfplots:konvergenz:sigma} und der maximalen Verformung $U$~\ref{pgfplots:konvergenz:u} Konvergenzstudie zur maximalen Vergleichsspannung $\sigma\ti{Mises}$~\ref{pgfplots:konvergenz:sigma} und der maximalen Verformung $U$~\ref{pgfplots:konvergenz:u} infolge des Eigengewichts
}\label{fig:konvergenz:statik} }\label{fig:konvergenz:statik:Eigengewicht}
\end{figure} \vspace{-.5em} \end{figure} \vspace{-.5em}
% %
% %
@@ -697,23 +927,24 @@ Konvergenzstudie zur maximalen Vergleichsspannung $\sigma\ti{Mises}$~\ref{pgfplo
axis lines=left, axis lines=left,
xmode=log,log basis x=10, xmode=log,log basis x=10,
xmin=40000, xmin=40000,
xmax=5000000, xmax=1300000,
ymin=0, ymin=0,
ymax=1100, ymax=110,
xlabel={Anzahl der Freiheitsgrade}, xlabel={Anzahl der Freiheitsgrade},
ylabel={\ref{pgfplots:konvergenz:sigma} Max.\,Spannung $\sigma\ti{Mises}$ in MPa}, ylabel={\ref{pgfplots:konvergenz:sigma} Max.\,Spannung $\sigma\ti{Mises}$ in MPa},
yticklabel style={ /pgf/number format/.cd,fixed,fixed zerofill,precision=0}, yticklabel style={ /pgf/number format/.cd,fixed,fixed zerofill,precision=0},
ytick={0,200,...,1400}, ytick={0,20,...,100},
legend style={ legend style={
nodes=right, nodes=right,
font=\small, font=\small,
}, },
legend pos=south west, legend pos=south west,
] ]
\pgfplotstableread{datas/Statische_Ergebnisse.dat}\datatable %\pgfplotstableread{datas/Statische_Ergebnisse.dat}\datatable
\addplot[draw1, opacity=0.15] table[skip first n=1, x index=1,x expr=\thisrowno{1}*1, y index=3] from \datatable; %\addplot[draw1, opacity=0.15] table[skip first n=1, x index=1,x expr=\thisrowno{1}*1, y index=3] from \datatable;
\pgfplotstableread{datas/Statische_Ergebnisse_Federn.dat}\datatable %\pgfplotstableread{datas/Statische_Ergebnisse_Federn.dat}\datatable
\addplot[draw1, mark=x] table[skip first n=1, x index=1,x expr=\thisrowno{1}*1, y index=3] from \datatable; \pgfplotstableread{datas/Statische_Ergebnisse_Einzellast2.dat}\datatable
\addplot[draw1, mark=x] table[skip first n=1, x index=2,x expr=\thisrowno{2}*1, y index=4] from \datatable;
\label{pgfplots:konvergenz:sigma} \label{pgfplots:konvergenz:sigma}
\end{axis} \end{axis}
\begin{axis}[ \begin{axis}[
@@ -725,10 +956,10 @@ Konvergenzstudie zur maximalen Vergleichsspannung $\sigma\ti{Mises}$~\ref{pgfplo
axis y line*=right, axis y line*=right,
xmode=log,log basis x=10, xmode=log,log basis x=10,
xmin=40000, xmin=40000,
xmax=5000000, xmax=1300000,
ymin=0, ymin=0,
ymax=550, ymax=4100,
ytick={100,200,...,500}, ytick={100,800,...,4000},
ylabel={\ref{pgfplots:konvergenz:u} Max.\,Verformung $U$ in mm}, ylabel={\ref{pgfplots:konvergenz:u} Max.\,Verformung $U$ in mm},
axis x line=none, axis x line=none,
legend style={ legend style={
@@ -737,21 +968,22 @@ Konvergenzstudie zur maximalen Vergleichsspannung $\sigma\ti{Mises}$~\ref{pgfplo
}, },
legend pos=south east, legend pos=south east,
] ]
\pgfplotstableread{datas/Statische_Ergebnisse.dat}\datatable %\pgfplotstableread{datas/Statische_Ergebnisse.dat}\datatable
\addplot[draw2, opacity=0.15] table[skip first n=1, x index=1,x expr=\thisrowno{1}*1, y index=2] from \datatable; %\addplot[draw2, opacity=0.15] table[skip first n=1, x index=1,x expr=\thisrowno{1}*1, y index=2] from \datatable;
\pgfplotstableread{datas/Statische_Ergebnisse_Federn.dat}\datatable %\pgfplotstableread{datas/Statische_Ergebnisse_Federn.dat}\datatable
\addplot[draw2, mark=*,mark size=1] table[skip first n=1, x index=1,x expr=\thisrowno{1}*1, y index=2] from \datatable; \pgfplotstableread{datas/Statische_Ergebnisse_Einzellast2.dat}\datatable
\addplot[draw2, mark=*,mark size=1] table[skip first n=1, x index=2,x expr=\thisrowno{2}*1, y index=3] from \datatable;
\label{pgfplots:konvergenz:u} \label{pgfplots:konvergenz:u}
\end{axis} \end{axis}
\end{tikzpicture}% \end{tikzpicture}%
\caption[ \caption[
Konvergenzstudie zur maximalen Vergleichsspannung und der maximalen Verformung mit versteiften Rotorblattspitzen Konvergenzstudie zur maximalen Vergleichsspannung und der maximalen Verformung infolge einer Einzellast von 80\,kN an der Blattspitze
]{ ]{
Konvergenzstudie zur maximalen Vergleichsspannung $\sigma\ti{Mises}$~\ref{pgfplots:konvergenz:sigma} und der maximalen Verformung $U$~\ref{pgfplots:konvergenz:u} mit versteiften Rotorblattspitzen Konvergenzstudie zur maximalen Vergleichsspannung $\sigma\ti{Mises}$~\ref{pgfplots:konvergenz:sigma} und der maximalen Verformung $U$~\ref{pgfplots:konvergenz:u} infolge einer Einzellast von 80\,kN an der Blattspitze
}\label{fig:konvergenz:statik-federn} }\label{fig:konvergenz:statik:Einzellast}
\end{figure} \vspace{-.5em} \end{figure} \vspace{-.5em}
% %
Wie sich in Abbildung~\ref{fig:konvergenz:statik} zeigt, ist sowohl für die Verformung als auch für die Spannung Wie sich in Abbildung~\ref{fig:konvergenz:statik:Eigengewicht} zeigt, ist sowohl für die Verformung als auch für die Spannung
die Konvergenz erreicht. die Konvergenz erreicht.
% %
\begin{figure}[H]\centering %!htb \begin{figure}[H]\centering %!htb