From e3ad4441b098ab0403127597ec3a2e544aa0a61e Mon Sep 17 00:00:00 2001 From: Daniel Weschke Date: Wed, 26 Aug 2015 16:49:29 +0200 Subject: [PATCH] =?UTF-8?q?Modellentwicklung=20Netz=20Abbildung=20zu=20Spa?= =?UTF-8?q?nnungsspitze=20und=20Einleitung=20von=20L=C3=A4ngsfederelemente?= =?UTF-8?q?=20eingef=C3=BCgt=20sowie=20im=20Anhang=20Tabellen=20zur=20Konf?= =?UTF-8?q?ergenz.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Preamble/Page.tex | 8 +- figures/Vergleichsspannung_max.png | Bin 0 -> 309508 bytes sections/Appendix.tex | 121 ++++++++++++++++++++++++++++- sections/Modellentwicklung.tex | 15 ++++ 4 files changed, 141 insertions(+), 3 deletions(-) create mode 100644 figures/Vergleichsspannung_max.png diff --git a/Preamble/Page.tex b/Preamble/Page.tex index 48e601c..ac98ef7 100755 --- a/Preamble/Page.tex +++ b/Preamble/Page.tex @@ -608,4 +608,10 @@ % debug the box warnings \showboxdepth=\maxdimen -\showboxbreadth=\maxdimen \ No newline 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diesem Abschnitt sind Skripte dargestellt, welche Grundlage dieser Arbeit sind. \lstinputlisting[style=custom, basicstyle=\ttfamily\scriptsize, caption={MATLAB Create\_CATIA\_Makro.m},label=lst:MATLAB-CATIA-Makro]{datas/Create_CATIA_Makro.m} %,label=lst:CATIA-Makro @@ -32,6 +31,124 @@ In diesem Abschnitt werden Skripte dargestellt, welche Grundlage dieser Arbeit s +\clearpage +\subsection{Konvergenztabellen}\label{appen:konvergenz} +\markboth{Anhang}{} +In diesem Abschnitt sind zu den Konvergenzabbildungen \cref{fig:konvergenz:statik:Eigengewicht,fig:konvergenz:statik:Einzellast,fig:konvergenz:modal} die entsprechenden Wertepaare aufgelistet. + +\begin{table}[H] +\caption{Konvergenzstudie zur maximalen Vergleichsspannung \(\sigma\ti{Mises}\) und der maximalen Verformung \(U\) infolge Eigengewichts}\label{tab:appen:konvergenz:statik:Eigengewicht}\centering +\begin{tabular}{ccccc} +\toprule +Elementkantenlänge & Polynomgrad & Freiheitsgrade & Verformung & Spannungen \\ +\(h\) in mm & \(p\) & DOFs & \(U\) in mm & \(\sigma\ti{Mises}\) in MPa \\ +\midrule +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 \\ +\bottomrule +\end{tabular} +\end{table}\vspace{-1em} + +\begin{table}[H] +\caption{Konvergenzstudie zur maximalen Vergleichsspannung \(\sigma\ti{Mises}\) und der maximalen Verformung \(U\) infolge einer Einzellast von \unit{80}{kN}}\label{tab:appen:konvergenz:statik:Einzellast}\centering +\begin{tabular}{ccccc} +\toprule +Elementkantenlänge & Polynomgrad & Freiheitsgrade & Verformung & Spannungen \\ +\(h\) in mm & \(p\) & DOFs & \(U\) in mm & \(\sigma\ti{Mises}\) in MPa \\ +\midrule +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 & 3776,0 & 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 \\ +\bottomrule +\end{tabular} +\end{table}\vspace{-1em} + +\begin{table}[H] +\caption{Konvergenzstudie zur Eigenfrequenz der Windenergieanlage}\label{tab:appen:konvergenz:statik:modal}\centering +\begin{tabular}{cccccc} +\toprule +Freiheitsgrade & \multicolumn{5}{l}{Eigenfrequenz in Hz} \\ +DOFs & 1 & 2 & 3 & 4 & 5 \\ +\midrule +46068 & 0,30733 & 0,3175 & 0,5776 & 0,7176 & 0,76171 \\ +51222 & 0,32413 & 0,33697 & 0,60226 & 0,76984 & 0,78424 \\ +60708 & 0,30752 & 0,31925 & 0,56549 & 0,72026 & 0,76245 \\ +70230 & 0,30791 & 0,31929 & 0,56506 & 0,70673 & 0,76246 \\ +95286 & 0,31058 & 0,31936 & 0,57807 & 0,68948 & 0,7682 \\ +1,275e+05 & 0,31128 & 0,32009 & 0,57855 & 0,69275 & 0,76606 \\ +1,8857e+05 & 0,31137 & 0,31954 & 0,57623 & 0,67513 & 0,77209 \\ +3,0508e+05 & 0,31039 & 0,31954 & 0,56643 & 0,66774 & 0,76984 \\ +6,5206e+05 & 0,30873 & 0,31883 & 0,55243 & 0,65053 & 0,76845 \\ +2,4303e+06 & 0,30439 & 0,31488 & 0,52052 & 0,59589 & 0,77637 \\ +2,7113e+06 & 0,30475 & 0,31505 & 0,52218 & 0,59827 & 0,78136 \\ +\midrule +DOFs & 6 & 7 & 8 & 9 & 10 \\ +\midrule +46068 & 0,8668 & 1,0764 & 1,1467 & 1,1774 & 1,6941 \\ +51222 & 0,86591 & 1,0849 & 1,1519 & 1,1831 & 1,7972 \\ +60708 & 0,86565 & 1,073 & 1,1497 & 1,1752 & 1,7012 \\ +70230 & 0,86525 & 1,07 & 1,1453 & 1,1726 & 1,7034 \\ +95286 & 0,86876 & 1,0788 & 1,1513 & 1,1807 & 1,7157 \\ +1,275e+05 & 0,86549 & 1,0767 & 1,1475 & 1,1767 & 1,7179 \\ +1,8857e+05 & 0,87339 & 1,0755 & 1,1363 & 1,1698 & 1,7247 \\ +3,0508e+05 & 0,87117 & 1,0723 & 1,1392 & 1,1684 & 1,7231 \\ +6,5206e+05 & 0,87062 & 1,0671 & 1,1311 & 1,165 & 1,7211 \\ +2,4303e+06 & 0,87926 & 1,0541 & 1,1229 & 1,1522 & 1,7222 \\ +2,7113e+06 & 0,88509 & 1,061 & 1,127 & 1,1612 & 1,7263 \\ +\midrule +DOFs & 11 & 12 & 13 & 14 & 15 \\ +\midrule +46068 & 2,4639 & 2,5383 & 2,6972 & 2,8374 & 3,0329 \\ +51222 & 2,5021 & 2,5751 & 2,6956 & 2,8557 & 3,0508 \\ +60708 & 2,4664 & 2,5399 & 2,6952 & 2,836 & 3,042 \\ +70230 & 2,4576 & 2,5341 & 2,6886 & 2,8341 & 3,0476 \\ +95286 & 2,4585 & 2,541 & 2,6954 & 2,8358 & 3,0481 \\ +1,275e+05 & 2,4488 & 2,5402 & 2,6968 & 2,8373 & 3,054 \\ +1,8857e+05 & 2,4223 & 2,5447 & 2,7063 & 2,8482 & 3,0551 \\ +3,0508e+05 & 2,4188 & 2,5372 & 2,6974 & 2,8411 & 3,0528 \\ +6,5206e+05 & 2,4013 & 2,5261 & 2,6874 & 2,8331 & 3,0444 \\ +2,4303e+06 & 2,3513 & 2,5132 & 2,6714 & 2,8319 & 2,9965 \\ +2,7113e+06 & 2,3633 & 2,5191 & 2,6834 & 2,8389 & 2,9971 \\ +\midrule +DOFs & 16 & 17 & 18 & 19 & 20 \\ +\midrule +46068 & 3,3267 & 3,7732 & 4,1709 & 4,1714 & 4,2145 \\ +51222 & 3,3817 & 3,7536 & 4,1378 & 4,1394 & 4,2416 \\ +60708 & 3,3394 & 3,7241 & 4,0681 & 4,0694 & 4,2479 \\ +70230 & 3,3255 & 3,716 & 4,0374 & 4,0379 & 4,2273 \\ +95286 & 3,3148 & 3,703 & 3,9966 & 3,9966 & 4,247 \\ +1,275e+05 & 3,3128 & 3,6949 & 3,9657 & 3,9665 & 4,2437 \\ +1,8857e+05 & 3,2875 & 3,6835 & 3,9389 & 3,9402 & 4,1398 \\ +3,0508e+05 & 3,2815 & 3,6746 & 3,9205 & 3,921 & 4,0976 \\ +6,5206e+05 & 3,2661 & 3,6651 & 3,9054 & 3,9056 & 4,0464 \\ +2,4303e+06 & 3,2217 & 3,6159 & 3,7518 & 3,8969 & 3,8972 \\ +2,7113e+06 & 3,2276 & 3,6176 & 3,7598 & 3,8969 & 3,8972 \\ +\bottomrule +\end{tabular} +\end{table}\vspace{-1em} + + \clearpage \includepdfset{pagecommand={\thispagestyle{fancy}}} diff --git a/sections/Modellentwicklung.tex b/sections/Modellentwicklung.tex index 9b448ac..32861db 100755 --- a/sections/Modellentwicklung.tex +++ b/sections/Modellentwicklung.tex @@ -853,11 +853,26 @@ Dazu sind jeweils die stirnseitigen Flächen miteinander verbunden. Dies hat zur Folge, dass die Elemente an der Stelle der Kopplung einen Verbund eingehen. Dabei ist der \emph{Kontaktkörper} stets die bodenabgewandte Struktur und der \emph{Zielkörper} die bodenzugewandte Struktur. Eingebaute Kontaktpartner sind in Abbildung \ref{fig:Kontakte} dargestellt. +% \begin{figure}[H]\centering \includegraphics[width=0.85\textwidth]{Kontakt.png} \caption{Kontaktelemente} \label{fig:Kontakte} \end{figure} \vspace{-1.5em} +% +Erste statische Rechnungen zeigten, dass in den Rotorblattspitzen Spannungsüberhöhungen auftreten, siehe dazu Abbildung \ref{fig:Spannungsspitze:Rotorspitze}. +Die Geometrie der Rotorblattspitze ist relativ Komplex. +Dies hat zur Folge, dass eine befriedigende Vernetzungsqualität erschwert erreicht wird. +% +\begin{figure}[H]\centering +\includegraphics[width=0.95\textwidth]{Vergleichsspannung_max.png} +\caption{Spannungsüberhöhung an der Rotorblattspitze} +\label{fig:Spannungsspitze:Rotorspitze} +\end{figure} \vspace{-1.5em} +% +Auf der Grundlage dass zu der Rotorblattspitze wenig Informationen vorliegt und der Annahme dass die Rotorblattspitze eine erhöhte Versteifung ausweist, wurde das Simulationsmodel an der Rotorblattspitze versteift. +Hierzu wurde flächendeckend die Oberseite der Rotorblattspitze mit der Unterseite durch Längsfederelemente zusätzlich verbunden. +Die Federsteifigkeit wurde auf \unit{}{} festgelegt. \vspace{.5em} \textsf{\textbf{Netz}}