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Diffstat (limited to 'Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex')
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1 files changed, 156 insertions, 334 deletions
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex index d2f097f82eb..f8f44dfb3b2 100644 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex @@ -1,10 +1,8 @@ - \section {Solide anneau} Cette partie traite des anneaux cylindriques. Dans la commande \verb+\psSolid+, cet objet est tracé avec l'option : -\verb+[object=anneau]+, dont il faut fixer -3 paramètres : +\verb+[object=anneau]+, dont il faut fixer 3 paramètres : \begin{itemize} \item le rayon intérieur \verb+[r=1.5]+ (valeur par défaut) ; \item le rayon extérieur \verb+[R=4]+ (valeur par défaut) @@ -19,7 +17,7 @@ La section de l'anneau dont la forme \texttt{rectangulaire} a été choisie par défaut, peut être redessinée par l'utilisateur. Nous allons détailler différents exemples de section. -\subsection {Commande pré-définie~: l'anneau à section rectangulaire.} +\subsection{Commande pré-définie~: l'anneau à section rectangulaire.} Cette section est définie dans le plan $Oyz$, elle est paramétrée par le triplet $(r, R, h)$. Les valeurs du rayon @@ -29,34 +27,27 @@ anneau à section rectangulaire variable, et la définition se fait au moment de la transmission des valeurs pour $(r, R, h)$ dans les options de \verb+\psSolid+. -Si l'utilisateur redéfinit la macro \TeX {} \verb+\Section+ avec des +Si l'utilisateur redéfinit la macro \TeX{} \verb+\Section+ avec des valeurs numériques plutôt que les paramètres $r$, $R$ et $h$, alors l'anneau n'est plus variable et il n'est plus besoin de transmettre des valeurs pour $r$, $R$, et $h$ dans les options de \verb+\psSolid+. -\begin{minipage}{0.45\linewidth} -\begin{verbatim} -\newcommand\Section{% -% y z - R h 2 div neg % sommet 1 - % S1 (R,-h/2) - R h 2 div % sommet 2 - % S2 (r,h/2) - r h 2 div % sommet 3 - % S3 (r,h/2) - r h 2 div neg % sommet 4 - % S4 (r,-h/2) - } -\end{verbatim} -\end{minipage} -\hfill -\begin{minipage}{0.45\linewidth} -\psset{unit=0.5} -\begin{pspicture}(-5,-3)(5,3) -\pstVerb{/R 4 def /r 2 def /h 2 def}% -\newcommand\RectangularSection{% +%\begin{minipage}{0.45\linewidth} +\begin{lstlisting}[basicstyle=\footnotesize\ttfamily] +\def\Section{% y z + Rad1 height 2 div neg % S1 (R,-h/2) sommet 1 + Rad1 height 2 div % S2 (r,h/2) sommet 2 + rad2 height 2 div % S3 (r,h/2) sommet 3 + rad2 height 2 div neg }% S4 (r,-h/2) sommet 4 +\end{lstlisting} + +\begin{LTXexample}[width=5cm] +\psset{unit=0.5}\begin{pspicture}(-5,-3)(5,3) +\pstVerb{/Rad1 4 def /rad2 2 def /height 2 def}% +\def\RectangularSection{% \pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% - (!R h 2 div neg)(!R h 2 div)(!r h 2 div)(!r h 2 div neg)} + (!Rad1 height 2 div neg)(!Rad1 height 2 div)% + (!rad2 height 2 div)(!rad2 height 2 div neg)} \rput(0,0){\RectangularSection}\rput(-6,0){\RectangularSection} \psline(-2,1)(2,1)\psline(-2,-1)(2,-1) \psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) @@ -65,388 +56,219 @@ des valeurs pour $r$, $R$, et $h$ dans les options de \verb+\psSolid+. \psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} \psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} \psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} -\uput[dr](!R h 2 div neg){1} -\uput[ur](!R h 2 div ){2} -\uput[ul](!r h 2 div ){3} -\uput[dl](!r h 2 div neg){4} +\uput[dr](!Rad1 height 2 div neg){1}\uput[ur](!Rad1 height 2 div ){2} +\uput[ul](!rad2 height 2 div ){3} \uput[dl](!rad2 height 2 div neg){4} \end{pspicture} -\end{minipage} -% -\bgroup\centering -%% -\psset{unit=0.5} +\end{LTXexample} + + +\begin{center} +\begingroup +\psset{unit=0.5cm} \begin{pspicture}(-5,-4)(5,4) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psset{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} \psSolid[object=anneau,fillcolor=cyan,h=3,R=8,r=6,ngrid=4,RotX=10](0,0,0) \end{pspicture} -%% +\qquad \begin{pspicture}(-5,-4)(5,4) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psset{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} \psSolid[object=anneau,fillcolor=yellow,h=3,R=8,r=6,RotX=90,RotZ=10](0,0,0) \end{pspicture} -\par\egroup -%% \begin{verbatim} -%% \begin{pspicture}(-5,-6)(5,6) -%% \psframe(-5,-4)(5,4) -%% \psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,% -%% Decran=25,lightsrc=10 20 20} -%% \psSolid[object=anneau,fillcolor=cyan,h=3,R=8,r=6,ngrid=4,RotX=10](0,0,0) -%% \end{pspicture} -%% %% -%% \begin{pspicture}(-5,-6)(5,5) -%% \psframe(-5,-4)(5,4) -%% \psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,% -%% Decran=25,lightsrc=-10 -20 -20} -%% \psSolid[object=anneau,fillcolor=yellow,h=3,R=8,r=6,RotX=90,RotZ=10](0,0,0) -%% \end{pspicture} -%% \end{verbatim} -\begin{verbatim} +\endgroup +\end{center} + +\begin{lstlisting}[basicstyle=\footnotesize\ttfamily] \psSolid[object=anneau,fillcolor=cyan,h=3,R=8,r=6,ngrid=4,RotX=10](0,0,0) \psSolid[object=anneau,fillcolor=yellow,h=3,R=8,r=6,RotX=90,RotZ=10](0,0,0) -\end{verbatim} +\end{lstlisting} -\subsection {Un simple anneau à section triangulaire} +\subsection{Un simple anneau à section triangulaire} Ci-dessous un anneau très simple, à section triangulaire fixe. La section est définie par la donnée des $3$~points $(6, -2)$, (10, 0) et $(6, 2)$ dans l'option \texttt{section} de \verb+\psSolid+. -\begin{center} -\begin{minipage}{0.45\linewidth} -\psset{unit=0.5} -\begin{pspicture}(-5,-6)(5,6) -\psframe(-5,-4)(5,4) -\psset[pst-solides3d]{ - viewpoint=50 20 40 rtp2xyz,Decran=25, - lightsrc=10 20 20} -\psSolid[object=anneau, - section=6 -2 10 0 6 2, - fillcolor=cyan,RotX=10]% -\end{pspicture} -\end{minipage} -%% -\begin{minipage}{0.45\linewidth} -\begin{verbatim} -\psset{unit=0.5} -\begin{pspicture}(-5,-6)(5,6) +\begin{LTXexample}[width=5cm] +\psset{unit=0.5cm} +\begin{pspicture}(-5,-4)(5,4) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{ - viewpoint=50 20 40 rtp2xyz,Decran=25, +\psset{viewpoint=50 20 40 rtp2xyz,Decran=25, lightsrc=10 20 20} -\psSolid[object=anneau, - section=6 -2 10 0 6 2, - fillcolor=cyan,RotX=10]% +\psSolid[object=anneau,section=6 -2 10 0 6 2, + fillcolor=cyan,RotX=10] \end{pspicture} -\end{verbatim} -\end{minipage} -\end{center} +\end{LTXexample} -%\newpage -\subsection {Un anneau variable à section triangulaire} +\subsection{Un anneau variable à section triangulaire} -\newcommand\SectionTriangulaire{ - R h 2 div neg % sommet 1 - R r add 2 div h 2 div % sommet 2 - r h 2 div neg % sommet 3 -} +\begin{lstlisting}[basicstyle=\footnotesize\ttfamily] +\newcommand\SectionTriangulaire{% y <----z----> + Rad1 height 2 div neg % S1 (R,-h/2) + Rad1 rad2 add 2 div height 2 div % S2 ((R+r)/2,h/2) + rad2 height 2 div neg } % S3 (r,-h/2) +\end{lstlisting} -\begin{minipage}{0.45\linewidth} -\begin{verbatim} -\newcommand\SectionTriangulaire{ -% y <----z----> - R h 2 div neg - % S1 (R,-h/2) - R r add 2 div h 2 div - % S2 ((R+r)/2,h/2) - r h 2 div neg - % S3 (r,-h/2) -} -\end{verbatim} -\end{minipage} -\hfill -\begin{minipage}{0.45\linewidth} -\psset{unit=0.5} +\def\TriangularSection{% + \pspolygon[fillstyle=vlines,linewidth=1.5pt](!Rad1 height 2 div neg)% + (!Rad1 rad2 add 2 div height 2 div)(!rad2 height 2 div neg)} +\begin{LTXexample}[width=5cm] +\psset{unit=0.5cm}\pstVerb{/Rad1 4 def /rad2 2 def /height 2 def }% \begin{pspicture}(-5,-3)(5,3) -%\psgrid -\pstVerb{/R 4 def /r 2 def /h 2 def}% -\newcommand\TriangularSection{% - \pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% - (!R h 2 div neg)(!R r add 2 div h 2 div)(!r h 2 div neg)} \rput(0,0){\TriangularSection}\rput(-6,0){\TriangularSection} \psline(-3,1)(3,1)\psline(-4,-1)(4,-1) \psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) \uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} -\psline[linestyle=dashed](2,-1)(2,1.5) -\psline[linestyle=dashed](4,-1)(4,2.5) -\psline[linestyle=dashed]{->}(-4,0)(4.2,0) \psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} \psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} \psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} -\uput[dr](!R h 2 div neg){1} -\uput[u](!R r add 2 div h 2 div){2} -\uput[dl](!r h 2 div neg){3} +\uput[dr](! Rad1 height 2 div neg){1} +\uput[u](! Rad1 rad2 add 2 div height 2 div){2} +\uput[dl](! rad2 height 2 div neg){3}\psset{linestyle=dashed} +\psline(2,-1)(2,1.5)\psline(4,-1)(4,2.5)\psline{->}(-4,0)(4.2,0) \end{pspicture} -\end{minipage} +\end{LTXexample} + + \begin{center} -%% -\psset{unit=0.5} +\psset{unit=0.5cm} +\def\SectionTriangulaire{ + R h 2 div neg % sommet 1 + R r add 2 div h 2 div % sommet 2 + r h 2 div neg } % sommet 3 \begin{pspicture}(-5,-6)(5,6) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psset{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} \psSolid[object=anneau,section=\SectionTriangulaire,fillcolor=cyan,h=3,R=8,r=4,RotX=10]% \end{pspicture} -%% +\qquad \begin{pspicture}(-5,-6)(5,5) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psset{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} \psSolid[object=anneau,section=\SectionTriangulaire,fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% \end{pspicture} \end{center} -%% \begin{verbatim} -%% \begin{pspicture}(-5,-6)(5,6) -%% \psframe(-5,-4)(5,4) -%% \psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,% -%% Decran=25,lightsrc=10 20 20} -%% \psSolid[object=anneau,section=\SectionTriangulaire,% -%% fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) -%% \end{pspicture} -%% %% -%% \begin{pspicture}(-5,-6)(5,5) -%% \psframe(-5,-4)(5,4) -%% \psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,% -%% Decran=25,lightsrc=-10 -20 -20} -%% \psSolid[object=anneau,section=\SectionTriangulaire,% -%% fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10](0,0,0) -%% \end{pspicture} -%% \end{verbatim} -\begin{verbatim} -\psSolid[object=anneau,section=\SectionTriangulaire,% - fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) -%% -\psSolid[object=anneau,section=\SectionTriangulaire,% - fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10](0,0,0) -\end{verbatim} -%%\newpage - -\newcommand\SectionPneu{ - /m {90 4 div} bind def - /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def - /Z0 {h 4 div} bind def - /c {Z0 Scos div} bind def - /Z1 {Z0 c m cos mul add} bind def - /Z2 {Z1 c m 2 mul cos mul add} bind def - /R1 {R c m sin mul sub} bind def - /R2 {R1 c m 2 mul sin mul sub} bind def - /R3 {R2 c m 3 mul sin mul sub} bind def - R h 4 div neg % 1 - R h 4 div % 2 - R1 Z1 % 3 - R2 Z2 % 4 - R3 h 2 div % 5 - r h 2 div % 6 - r h 2 div neg % 7 - R3 h 2 div neg % 8 - R2 Z2 neg % 9 - R1 Z1 neg % 10 - } -\subsection {L'anneau à section ``pneu'' : anneau cylindrique à arêtes chanfreinées.} +\begin{lstlisting}[basicstyle=\footnotesize\ttfamily] +\psSolid[object=anneau,section=\SectionTriangulaire, + fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) +\psSolid[object=anneau,section=\SectionTriangulaire, + fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10](0,0,0) +\end{lstlisting} + +\clearpage +\subsection[L'anneau à section ``pneu'']% + {L'anneau à section ``pneu'' : anneau cylindrique à arêtes chanfreinées.} + \begin{minipage}{0.45\linewidth} -{\small -\begin{verbatim} -\renewcommand\SectionPneu{ - /m {90 4 div} bind def - /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def - /Z0 {h 4 div} bind def - /c {Z0 Scos div} bind def - /Z1 {Z0 c m cos mul add} bind def - /Z2 {Z1 c m 2 mul cos mul add} bind def - /R1 {R c m sin mul sub} bind def - /R2 {R1 c m 2 mul sin mul sub} bind def - /R3 {R2 c m 3 mul sin mul sub} bind def - R h 4 div neg % 1 - R h 4 div % 2 - R1 Z1 % 3 - R2 Z2 % 4 - R3 h 2 div % 5 - r h 2 div % 6 - r h 2 div neg % 7 - R3 h 2 div neg % 8 - R2 Z2 neg % 9 - R1 Z1 neg % 10 - } -\end{verbatim}} +\begin{lstlisting}[basicstyle=\footnotesize\ttfamily] +\def\SectionPneu{ + /MM { 90 4 div} bind def + /Scos {MM cos 2 MM mul cos add 3 MM mul cos add} bind def + /Z0 {h 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c MM cos mul add} bind def + /Z2 {Z1 c MM 2 mul cos mul add} bind def + /R1 {R c MM sin mul sub} bind def + /R2 {R1 c MM 2 mul sin mul sub} bind def + /R3 {R2 c MM 3 mul sin mul sub} bind def + R h 4 div neg % 1 + R h 4 div % 2 + R1 Z1 % 3 + R2 Z2 % 4 + R3 h 2 div % 5 + r h 2 div % 6 + r h 2 div neg % 7 + R3 h 2 div neg % 8 + R2 Z2 neg % 9 + R1 Z1 neg % 10 +} +\end{lstlisting} \end{minipage} \hfill \begin{minipage}{0.45\linewidth} -%\psset{unit=0.65} +\psset{unit=0.7cm} \begin{pspicture}(-2,-3)(5,6) -%\psgrid -\pstVerb{/R 4 def /r 2 def /h 2 def}% -\pstVerb{/m {90 4 div} bind def - /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def - /Z0 {h 4 div} bind def - /c {Z0 Scos div} bind def - /Z1 {Z0 c m cos mul add} bind def - /Z2 {Z1 c m 2 mul cos mul add} bind def - /R1 {R c m sin mul sub} bind def - /R2 {R1 c m 2 mul sin mul sub} bind def - /R3 {R2 c m 3 mul sin mul sub} bind def}% -\pnode(!R h 4 div neg){S1} -\pnode(!R h 4 div){S2} -\pnode(!R1 Z1){S3} -\pnode(!R2 Z2){S4} -\pnode(!R3 h 2 div){S5} -\pnode(!r h 2 div){S6} -\pnode(!r h 2 div neg){S7} -\pnode(!R3 h 2 div neg){S8} -\pnode(!R2 Z2 neg){S9} -\pnode(!R1 Z1 neg){S10} +\pstVerb{/Rad1 4 def /rad2 2 def /height 2 def + /MM {90 4 div} bind def + /Scos {MM cos 2 MM mul cos add 3 MM mul cos add} bind def + /Z0 {height 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c MM cos mul add} bind def + /Z2 {Z1 c MM 2 mul cos mul add} bind def + /R1 {Rad1 c MM sin mul sub} bind def + /R2 {R1 c MM 2 mul sin mul sub} bind def + /R3 {R2 c MM 3 mul sin mul sub} bind def}% +\pnode(!Rad1 height 4 div neg){S1}\pnode(!Rad1 height 4 div){S2} +\pnode(!R1 Z1){S3} \pnode(!R2 Z2){S4} +\pnode(!R3 height 2 div){S5} \pnode(!rad2 height 2 div){S6} +\pnode(!rad2 height 2 div neg){S7}\pnode(!R3 height 2 div neg){S8} +\pnode(!R2 Z2 neg){S9} \pnode(!R1 Z1 neg){S10} \newcommand\pneuSection{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% (S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)(S9)(S10)} \rput(0,0){\pneuSection}\rput{180}{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% - (!R h 4 div neg)(!R h 4 div)(!R1 Z1)(!R2 Z2)(!R3 h 2 div)(!r h 2 div)(!r h 2 div neg)(!R3 h 2 div neg)(!R2 Z2 neg)(!R1 Z1 neg)} + (!Rad1 height 4 div neg)(!Rad1 height 4 div)(!R1 Z1)(!R2 Z2)% + (!R3 height 2 div)(!rad2 height 2 div)(!rad2 height 2 div neg)(!R3 height 2 div neg)(!R2 Z2 neg)(!R1 Z1 neg)} \psline(-3,1)(3,1)\psline(-3,-1)(3,-1) \psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) \uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} -\psline[linestyle=dashed](2,-1)(2,1.5) -\psline[linestyle=dashed](4,-1)(4,2.5) -\psline[linestyle=dashed]{->}(-4,0)(4.2,0) -\psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} -\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} -\psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} -\uput[r](S1){1} -\uput[r](S2){2} -\uput[u](S3){3} -\uput[u](S4){4} -\uput[u](S5){5} -\uput[ul](S6){6} -\uput[dl](S7){7} -\uput[dl](S8){8} -\uput[dr](S9){9} -\uput[r](S10){10} +\psline[linestyle=dashed](2,-1)(2,1.5)\psline[linestyle=dashed](4,-1)(4,2.5) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0)\psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$}\psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} +\uput[r](S1){1}\uput[r](S2){2}\uput[u](S3){3}\uput[u](S4){4} +\uput[u](S5){5}\uput[ul](S6){6}\uput[dl](S7){7}\uput[dl](S8){8} +\uput[dr](S9){9}\uput[r](S10){10} \psdots[linecolor=red](S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)(S9)(S10) \end{pspicture} \end{minipage} -%\iffalse \begin{center} -\psset{unit=0.7} +\def\SectionPneu{ + /MM { 90 4 div } def + /Scos { MM cos 2 MM mul cos add 3 MM mul cos add } def + /Z0 { h 4 div } def + /c {Z0 Scos div} def + /Z1 { Z0 c MM cos mul add } def + /Z2 { Z1 c MM 2 mul cos mul add } def + /R1 { R c MM sin mul sub } def + /R2 { R1 c MM 2 mul sin mul sub } def + /R3 { R2 c MM 3 mul sin mul sub } def + R h 4 div neg % 1 + R h 4 div % 2 + R1 Z1 % 3 + R2 Z2 % 4 + R3 h 2 div % 5 + r h 2 div % 6 + r h 2 div neg % 7 + R3 h 2 div neg % 8 + R2 Z2 neg % 9 + R1 Z1 neg % 10 +} +\psset{unit=0.7cm} \begin{pspicture}(-5,-5)(5,4) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psset{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} \psSolid[object=anneau,section=\SectionPneu,fillcolor=cyan,h=3,R=8,r=4,RotX=10]% \end{pspicture} -%% +\qquad \begin{pspicture}(-5,-5)(5,4) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psset{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} \psSolid[object=anneau,section=\SectionPneu,fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% \end{pspicture} \end{center} -%% -\begin{gbar} -\begin{verbatim} -\psSolid[object=anneau,section=\SectionPneu,% - fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) -\psSolid[object=anneau,section=\SectionPneu,% - fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% -\end{verbatim} -\end{gbar} -%\fi -\newpage - -\subsection{Bobine vide} - -\newcommand\SectionBobine{ - r h 2 div % 1 - r h 2 div neg % 2 - R h 2 div neg % 3 - R h 3 div neg % 4 - R h 4 div sub h 3 div neg % 5 - R h 4 div sub h 3 div % 6 - R h 3 div % 7 - R h 2 div % 8 - } -\begin{minipage}{0.45\linewidth} -\begin{verbatim} -\newcommand\SectionBobine{ - r h 2 div % 1 - r h 2 div neg % 2 - R h 2 div neg % 3 - R h 3 div neg % 4 - R h 4 div sub h 3 div neg % 5 - R h 4 div sub h 3 div % 6 - R h 3 div % 7 - R h 2 div % 8 - } -\end{verbatim} -\end{minipage} -\hfill -\begin{minipage}{0.45\linewidth} -\begin{pspicture}(-2,-2)(5,2) -\pstVerb{/RB 4 def /rB 2 def /hB 3 def}% -\pnode(!rB hB 2 div){S1} -\pnode(!rB hB 2 div neg){S2} -\pnode(!RB hB 2 div neg){S3} -\pnode(!RB hB 3 div neg){S4} -\pnode(!RB hB 4 div sub hB 3 div neg){S5} -\pnode(!RB hB 4 div sub hB 3 div){S6} -\pnode(!RB hB 3 div){S7} -\pnode(!RB hB 2 div){S8} -\newcommand\pneuSection{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% - (S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)} -\rput(0,0){\pneuSection}\rput{180}{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% - (!rB hB 2 div)(!rB hB 2 div neg)(!RB hB 2 div neg)(!RB hB 3 div neg)(!RB hB 4 div sub hB 3 div neg)(!RB hB 4 div sub hB 3 div)(!RB hB 3 div)(!RB hB 2 div)} -\psline(-3,1.5)(3,1.5)\psline(-3,-1.5)(3,-1.5) -\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) -\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} -\psline[linestyle=dashed](2,-1)(2,1.5) -\psline[linestyle=dashed](4,-1)(4,2.5) -\psline[linestyle=dashed](-4,-1)(4,-1) -\psline[linestyle=dashed](-4,1)(4,1) -\psline[linestyle=dashed]{->}(-4,0)(4.2,0) -\psline{->}(0,1.8)(2,1.8)\uput[u](1,1.8){$r$} -\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} -\psline{<->}(5,-1.5)(5,1.5)\uput[r](5,0){$h$} -\uput[u](S1){1} -\uput[d](S2){2} -\uput[d](S3){3} -\uput[r](S4){4} -\uput[ur](S5){5} -\uput[dr](S6){6} -\uput[r](S7){7} -\uput[r](S8){8} -\psdots[linecolor=red](S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8) -\end{pspicture} -\end{minipage} -\begin{center} -\begin{pspicture}(-5,-6)(5,5) -\psframe*[linecolor=blue!50](-5,-5)(5,4) -\psset[pst-solides3d]{viewpoint=70 40 10 rtp2xyz,Decran=25,lightsrc=0 30 100} -\psSolid[object=grille,base=-15 15 -15 15,fillcolor=yellow!30!black!10](0,0,-8) -%\psSolid[object=prisme,h=2,base=-15 1 -15 -1 15 -1 15 1](0,0,-8) -\psSolid[object=anneau,section=\SectionBobine,fillcolor=gray!50,h=6,R=8,r=4,RotX=90,linecolor=gray]% -\end{pspicture} -\end{center} -\begin{gbar} + \begin{verbatim} -\psSolid[object=grille,base=-15 15 -15 15,fillcolor=yellow!30](0,0,-8) -\psSolid[object=anneau,section=\SectionBobine,% - fillcolor=gray!50,h=6,R=8,r=4,RotX=90,linecolor=gray]% +\psSolid[object=anneau,section=\SectionPneu,fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) +\psSolid[object=anneau,section=\SectionPneu,fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10] \end{verbatim} -\end{gbar} - -\subsection{D'autres anneaux} -Trois autres exemples sont disponibles sur la page : -\centerline{\url{http://syracuse.eu.org/lab/bpst/pst-solides3d/anneaux}} +\endinput |