\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}