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purezen.tex
\documentclass[a4landscape]{presentation} % dvioutはmag4
\usepackage[dvips]{graphicx,color}
\usepackage{rgb,array,fancybox,ruby,here}
\usepackage{cut,epic,eepic,eepicsup,fontsize}
\usepackage{hyperref}
\def\fat#1{\mbox{\boldmath{$#1$}}}
\begin{document}
%
%%%%%%%%%% 表紙 %%%%%%%%%%
%
\begin{figure}[H]
{\bf
%
\begin{center}
\shadowbox{
\hypertarget{p1}{熱膨張・乾燥収縮を受ける鋼板挿入集成材梁の有限要素解析}
}
%
\ \\
\vspace{3mm}
\begin{flushright}
{\scriptsize
{\tiny ○×科技大} 上■次△
}
\end{flushright}
\ \\
{\small
\fbox{集成材梁 $\longrightarrow$ ハイブリット長スパン化 }
}
\ \\
%
\begin{minipage}[h]{0.45\textwidth}
\begin{center}
\ovalbox{ \blue{鋼板} } \hspace{15mm} \ovalbox{ \brown{集成材} } \\
$\vdots$ \hspace{26mm} $\vdots$ \\
熱膨張 \hspace{15mm} 乾燥収縮 \\
$\searrow$ \hspace{17mm} $\swarrow$ \\
接着面は?
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.45\textwidth}
\begin{center}
\epsfxsize=50mm
\epsfbox{sounyuu.eps}
\end{center}
\end{minipage}
%
\end{center}
%
\begin{flushright}
{\tiny
\hyperlink{mokuzi}{目次}、
\hyperlink{p2}{次}
}
\end{flushright}
%
}
\end{figure}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{figure}[H]
{\bf
%
\begin{center}
\hypertarget{p2}{解析方法は} $\cdots \longrightarrow$ 直方体要素FEM
\\
\vspace{3mm}
\begin{minipage}[h]{0.47\textwidth}
\begin{center}
\input{syogen2}
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.47\textwidth}
\begin{center}
\input{moderu2}
\end{center}
\end{minipage}
%
\ \\
\vspace{-5mm}
材料モデルは?\\
\vspace{-1mm}
$\vdots$\\
\blue{
鋼:等方性材料($E$, $G$)}\\
\vspace{1mm}
\brown{集成材:直交異方性
{\footnotesize
$
\left(
\begin{array}{ccc}
E{_x},E{_y},E{_z}\\
\nu_{xy},\nu_{xz},\nu_{yz}\\
G_{xy},G_{xz},G_{yz}
\end{array}
\right)
$
}
}
%
\end{center}
%
\begin{flushright}
{\tiny
\hyperlink{mokuzi}{目次}、
\hyperlink{p6}{収束性} 、
\hyperlink{p7}{変位} 、
\hyperlink{p8}{垂直} 、
\hyperlink{p9}{せん断} 、
\hyperlink{p1}{前} 、
\hyperlink{p3}{次}
}
\end{flushright}
%
}
\end{figure}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{figure}
{\bf
\begin{center}
%
\shadowbox{
\hypertarget{p3}{木材の材料定数}
}
\ \\
%
{\scriptsize
\vspace{1mm}
\begin{table}[H]
\begin{tabular}{|c| c|c|c |c|c|c |c|c|c |} \hline
&
\multicolumn{3}{|c|}{ヤング率} &
\multicolumn{6}{|c|}{} \\
樹種 &
\multicolumn{3}{|c|}{$\! (10^{3}$ kgf/cm$^{2})\!$ } &
\multicolumn{6}{|c|}{ポアソン比} \\
& $E_L$ & $E_R$ & $E_T$ & $\nu_{LT}$ & $\nu_{TL}$ & $\nu_{LR}$
& $\nu_{RL}$ & $\nu_{RT}$ & $\nu_{TR}$ \\
\hline
シトカスプルース & 119 & 9.2 & 5.1 & 0.47 & 0.025 & 0.37
& 0.040 & 0.44 & 0.25 \\
オウシュウアカマツ & 166 & 11.2 & 5.8 & 0.51 & 0.015 & 0.42
& 0.038 & 0.68 & 0.31 \\
スギ & 75 & 6.0 & 3.0 & 0.60 & - & 0.40 & - & 0.90 & -
\\
アカマツ & 120 & 12.5 & 6.5 & 0.60 & - & 0.40 & - & 0.65 & -
\\
\hline
\end{tabular}
%
\end{table}
%
} %scriptsize
\ \\
%
$
\left[\!\!
\begin{array}{ccc}
\!\frac{1}{E_{x}} \!&\! \red{-\frac{\nu_{xy}}{E_{x}}} \!&\! \green{-\frac{\nu_{xz}}{E_{x}}} \!\\
& & \\
\!\red{-\frac{\nu_{yx}}{E_{y}}} \!&\! \frac{1}{E_{y}} \!&\! \blue{-\frac{\nu_{yz}}{E_{y}}}
\!\\
& & \\
\!\green{-\frac{\nu_{zx}}{E_{z}}} \!&\! \blue{-\frac{\nu_{zy}}{E_{z}}} \!&\! \frac{1}{E_{z}}
\end{array}
\!\!\right]
%
=
%
\left[\!\!
\begin{array}{cccccc}
\frac{1}{0.5} & \red{-\frac{0.2}{0.5}} & \green{-\frac{0.025}{0.5}}
\!\\
& & \\
\red{-\frac{0.4}{1.0}} & \frac{1}{1.0} & \blue{-\frac{0.03}{1.0}}
\!\\
& & \\
\green{-\frac{0.5}{10.0}} & \blue{-\frac{0.3}{10.0}} & \frac{1}{10.0}
\end{array}
\!\!\right]
\hspace{5mm}( \frac{1}{\mbox{GPa}} )
$
%
%
%
\end{center}
%
\begin{flushright}
{\tiny
\hyperlink{mokuzi}{目次}、
\hyperlink{p2}{前} 、
\hyperlink{p4}{次}
}
\end{flushright}
}
\end{figure}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{figure}
{\bf
%
\hypertarget{p4}{熱膨張} $\cdots$ 熱歪($\varepsilon_{T}=\alpha_{i} \Delta T$)
\ \\
\vspace{1mm}
乾燥収縮は?
\begin{center}
%
\begin{minipage}{.47\textwidth}
\begin{center}
\input{gansui} % -30%
\ \\
{\footnotesize 木材の含水率と収縮率}
\end{center}
\end{minipage}
\quad
\begin{minipage}{.47\textwidth}
\begin{center}
\vspace{-3mm}
\input{okugai2} % -30%
\ \\
{\footnotesize 気候地平衡含水率(屋外)}
\end{center}
\end{minipage}
%
\end{center}
%
\begin{flushright}
{\tiny
\hyperlink{mokuzi}{目次}、
\hyperlink{p6}{収束性} 、
\hyperlink{p3}{前} 、
\hyperlink{p5}{次}
}
\end{flushright}
}
\end{figure}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{figure}
{\bf
%
\hypertarget{p5}{ \shadowbox{与える歪} }
%
\begin{center}
%
\red{熱ひずみ}
\hspace{4mm}
\blue{含水ひずみ} \\
\vspace{-2mm}
\hspace{-5mm} $\vdots$ \hspace{16mm} $\vdots$ \\
\hspace{10mm}
$\varepsilon_{i}=\red{\alpha_{i}\Delta{T}}$
\hspace{2mm}
+
\hspace{2mm}
$\blue{\beta_{i}\Delta{H}}$
\hspace{5mm}
$(i=x,y,z)$ \\
\hspace{-9mm}
$\nearrow \hspace{4mm} \uparrow \hspace{15mm}
\uparrow \hspace{4mm} \nwarrow$ \\
{\scriptsize
\hspace{-8mm} 熱膨張係数 \hspace{1mm} 温度変化
\hspace{1mm} 含水膨張係数 \hspace{1mm} 含水率変化
}
\\
\vspace{3mm}
\DarkGreen{\ovalbox{$FEM$(荷重制御) \hspace{5mm} $(f)$ = $[K]$$(u)$}} \\
\hspace{-1mm}
\vdots \\
節点荷重を与えたい\\
$\Downarrow$ \\
$
{\displaystyle
\fat{f}=\int \fat{B}^{T}\fat{D} \; \fat{\varepsilon}dV
}
$ \\
\vspace{-2mm}
\hspace{2mm}
$\nearrow$
\hspace{2mm}
$\nwarrow$ \\
\hspace{1mm}
ひずみ--変位行列
\hspace{2mm}
応力--ひずみ行列
\end{center}
%
\begin{flushright}
{\tiny
\hyperlink{mokuzi}{目次}、
\hyperlink{p4}{前} 、
\hyperlink{p6}{次}
}
\end{flushright}
}
\end{figure}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{figure}
{\bf
\begin{minipage}[h]{0.4\textwidth}
\shadowbox{ \hypertarget{p6}{要素分割と収束性} }\\
{\footnotesize
温度変化:全要素に $+30^{\circ}$C \\
含水率変化:集成材要素に $-5\%$
}
\end{minipage}
%
\begin{minipage}[h]{0.55\textwidth}
\begin{center}
\input{moderu3}\\
{\scriptsize 1/4解析}
\end{center}
\end{minipage}
%
\begin{center}
%
% -60%
%
{\footnotesize
\red{$p$}点での収束性
}\\
{\small
\begin{tabular}{|c|c|c|c|}
\hline
分割数 $x$,$y$,$z$ & $u$ (mm) & $v$ (mm) & $w$ (mm) \\
\hline
7,10,10 (1,5) & 4.057 $\times 10^{-3}$ & -3.803 & 2.445 \\
\hline
8,10,10 (1,5) & 3.994 $\times 10^{-3}$ & -3.804 & 2.499 \\
\hline
9,10,10 (1,5) & 3.947 $\times 10^{-3}$ & -3.805 & 2.541 \\
\hline
10,10,10 (1,5) & 3.910 $\times 10^{-3}$ & -3.805 & 2.573 \\
\hline
\hline
7,10,10 (2,5) & 4.156 $\times 10^{-3}$ & -3.802 & 2.369 \\
\hline
8,10,10 (2,5) & 4.067 $\times 10^{-3}$ & -3.803 & 2.445 \\
\hline
9,10,10 (2,5) & 4.002 $\times 10^{-3}$ & -3.804 & 2.499 \\
\hline
10,10,10 (2,5) & 3.954 $\times 10^{-3}$ & -3.805 & 2.541 \\
\hline
\end{tabular}
}
\end{center}
%
\begin{flushright}
{\tiny
\hyperlink{mokuzi}{目次}、
\hyperlink{p2}{モデル}、
\hyperlink{p4}{含水率}、
\hyperlink{p5}{前} 、
\hyperlink{p7}{次}
}
\end{flushright}
}
\end{figure}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{figure}
{\bf
{\footnotesize
\shadowbox{ \hypertarget{p7}{端部変位} }
(温度変化: $+30^{\circ}$C, 含水率変化:$-5\%$)
}
\\
%
%
%
\begin{center}
\vspace{-5mm}
\input{moderu2}
\\
%
\vspace{-40mm}
%
\begin{minipage}[h]{0.35\textwidth}
\begin{center}
\input{d102.tex} % 0.5,0.5
\\
\vspace{-5mm}
{\scriptsize
端部変位(mm)\\
(要素分割:$10\times 10\times 10$)
}
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.1\textwidth}
\begin{center}
\hspace{15mm}
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.35\textwidth}
\begin{center}
\input{d172.tex}
\\
\vspace{-5mm}
{\scriptsize
端部変位(mm)\\
(要素分割:$17\times 10\times 10$)
}
\end{center}
\end{minipage}
%
\end{center}
%
\begin{flushright}
{\tiny
\hyperlink{mokuzi}{目次}、
\hyperlink{p2}{モデル}、
\hyperlink{p6}{前} 、
\hyperlink{p8}{次}
}
\end{flushright}
}
\end{figure}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{figure}
{\bf
{\footnotesize
\shadowbox{ \hypertarget{p8}{端部垂直応力} }
(温度変化: $+30^{\circ}$C, 含水率変化:$-5\%$)
}
\begin{center}
%
%\vspace{-10mm}
\begin{minipage}[h]{0.45\textwidth}
\begin{center}
\vspace{-7mm}
\input{
moderu2}
\end{center}
\end{minipage}
%
%
\begin{minipage}[h]{0.35\textwidth}
\begin{center}
\vspace{-40mm}
\input{xx2} % 0.5,0.5
\\
\vspace{-10mm}
$\sigma_{x}$ {\scriptsize (MPa)}
\end{center}
\end{minipage}
%
\ \\
\vspace{-43mm}
%
%
\begin{minipage}[h]{0.35\textwidth}
\begin{center}
\input{yy2} % 0.5,0.5
\\
\vspace{-10mm}
$\sigma_{y}$ {\scriptsize (MPa)}
\end{center}
\end{minipage}
%
%
\begin{minipage}[h]{0.1\textwidth}
\begin{center}
\hspace{15mm}
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.35\textwidth}
\begin{center}
\input{zz2} % 0.5,0.5
\\
\vspace{-10mm}
$\sigma_{z}$ {\scriptsize (MPa)}
\end{center}
\end{minipage}
%
%
\end{center}
%
\begin{flushright}
{\tiny
\hyperlink{mokuzi}{目次}、
\hyperlink{p2}{モデル}、
\hyperlink{p7}{前} 、
\hyperlink{p9}{次}
}
\end{flushright}
}
\end{figure}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{figure}
{\bf
{\footnotesize
\shadowbox{ \hypertarget{p9}{端部せん断応力} }
(温度変化: $+30^{\circ}$C, 含水率変化:$-5\%$)
}
\begin{center}
\vspace{-45mm}
%
\begin{minipage}[h]{0.35\textwidth}
\begin{center}
\input{xy2} % 0.5,0.5
\\
\vspace{-10mm}
$\tau_{xy}$ {\scriptsize (kPa)}
\end{center}
\end{minipage}
%
%
\begin{minipage}[h]{0.1\textwidth}
\begin{center}
\hspace{15mm}
\end{center}
\end{minipage}
%
%
\begin{minipage}[h]{0.35\textwidth}
\begin{center}
\input{xz2} % 0.5,0.5
\\
\vspace{-10mm}
$\tau_{xz}$ {\scriptsize (kPa)}
\end{center}
\end{minipage}
\ \\
\vspace{-40mm}
%
%
\begin{minipage}[h]{0.35\textwidth}
\begin{center}
\input{yz2} % 0.5,0.5
\\
\vspace{-10mm}
$\tau_{yz}$ {\scriptsize (kPa)}
\end{center}
\end{minipage}
%
%
\begin{minipage}[h]{0.1\textwidth}
\begin{center}
\hspace{15mm}
\end{center}
\end{minipage}
%
%
\begin{minipage}[h]{0.35\textwidth}
\begin{center}
\vspace{45mm}
{\footnotesize
\ovalbox{ 鋼板と集成材の剥離 }
\\
\vspace{3mm}
\input{zunoe}
\\
{\scriptsize (集成材の破壊で剥離)}
\\
\vspace{3mm}
集成材のせん断強度:\\
2400 $\sim$ 3600 kPa
}
\end{center}
\end{minipage}
%
%
\end{center}
%
\begin{flushright}
{\tiny
\hyperlink{mokuzi}{目次}、
\hyperlink{p2}{モデル}、
\hyperlink{p8}{前} 、
\hyperlink{p10}{次}
}
\end{flushright}
}
\end{figure}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{figure}
{\bf
\begin{center}
\shadowbox{ \hypertarget{p10}{まとめ} } \\
\vspace{1mm}
%
\ovalbox{ \blue{鋼板} } \hspace{15mm} \ovalbox{ \brown{集成材} } \\
$\vdots$ \hspace{26mm} $\vdots$ \\
熱膨張 \hspace{15mm} 乾燥収縮 \\
$\vdots$ \hspace{26mm} $\vdots$ \\
$\alpha_{i} \Delta T$ \hspace{20mm} $\beta_{i}\Delta{H}$ \\
$\searrow$ \hspace{17mm} $\swarrow$ \\
\doublebox{ 直方体要素FEM } \\
$\vdots$\\
接着面せん断応力 $\ll$ せん断強度
\end{center}
%
\vspace{-2mm}
\begin{flushleft}
{\footnotesize
\ovalbox{ 今後の課題 }\\
\begin{itemize}
\item 接着層も要素化
\item 他要素(アイソパラメトリック等)と比較
\item 実験による検証
\end{itemize}
}
\end{flushleft}
%
\begin{flushright}
{\tiny
\hyperlink{mokuzi}{目次}、
\hyperlink{p2}{モデル}、
\hyperlink{p9}{前}
}
\end{flushright}
}
\end{figure}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%% 目次 %%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\clearpage
\begin{figure}[H]
{\bf
%
\begin{center}
{\scriptsize
\shadowbox{ \hypertarget{mokuzi}{目次} }
}
\ \\
%
%
\begin{minipage}[h]{0.3\textwidth}
\begin{center}
\epsfxsize=0.7\textwidth %
\epsfbox{p1.eps}
\ \\
\vspace{-2mm}
{\tiny
\hyperlink{p1}{表紙}
}
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.3\textwidth}
\begin{center}
\epsfxsize=0.7\textwidth %
\epsfbox{p2.eps}
\ \\
\vspace{-2mm}
{\tiny
\hyperlink{p2}{モデル}
}
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.3\textwidth}
\begin{center}
\epsfxsize=0.7\textwidth %
\epsfbox{p3.eps}
\ \\
\vspace{-2mm}
{\tiny
\hyperlink{p3}{材料定数}
}
\end{center}
\end{minipage}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ \\
\vspace{1mm}
%
\begin{minipage}[h]{0.3\textwidth}
\begin{center}
\epsfxsize=0.7\textwidth %
\epsfbox{p4.eps}
\ \\
\vspace{-2mm}
{\tiny
\hyperlink{p4}{含水率}
}
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.3\textwidth}
\begin{center}
\epsfxsize=0.7\textwidth %
\epsfbox{p5.eps}
\ \\
\vspace{-2mm}
{\tiny
\hyperlink{p5}{荷重}
}
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.3\textwidth}
\begin{center}
\epsfxsize=0.7\textwidth %
\epsfbox{p6.eps}
\ \\
\vspace{-2mm}
{\tiny
\hyperlink{p6}{収束性}
}
\end{center}
\end{minipage}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ \\
\vspace{1mm}
%
\begin{minipage}[h]{0.23\textwidth}
\begin{center}
\epsfxsize=0.7\textwidth %
\epsfbox{p7.eps}
\ \\
\vspace{-2mm}
{\tiny
\hyperlink{p7}{端部変位}
}
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.23\textwidth}
\begin{center}
\epsfxsize=0.7\textwidth %
\epsfbox{p8.eps}
\ \\
\vspace{-2mm}
{\tiny
\hyperlink{p8}{端部垂直}
}
\end{center}
\end{minipage}
%
\begin{minipage}[h]{0.23\textwidth}
\begin{center}
\epsfxsize=0.7\textwidth %
\epsfbox{p9.eps}
\ \\
\vspace{-2mm}
{\tiny
\hyperlink{p9}{端部せん断}
}
\end{center}
\end{minipage}
%
%
\begin{minipage}[h]{0.23\textwidth}
\begin{center}
\epsfxsize=0.7\textwidth %
\epsfbox{p10.eps}
\ \\
\vspace{-2mm}
{\tiny
\hyperlink{p10}{まとめ}
}
\end{center}
\end{minipage}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\end{center}
}
\end{figure}
\end{document}