File:Onde stationnaire tuyau ouvert.gif

Onde_stationnaire_tuyau_ouvert.gif(610 × 461 pixels, file size: 928 KB, MIME type: image/gif, looped, 100 frames, 10 s)

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Summary

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Description
English: Standing wave in an open pipe, e.g. wind instrument; pressure (top) and relative speed (bottom) of the air (made with Scilab and Jasc Animation Shop 2.02)
Français : Onde stationnaire dans un tuyau ouvert, p. ex. un instrument à vent ; pression (haut) et vitesse relative (bas) de l'air (réalisé avec Scilab et Jasc Animation Shop 2.02)
Date
Source Own work
Author Christophe Dang Ngoc Chan (cdang)
Permission
(Reusing this file)
GFDL
Other versions with quantitative diagrams: Image:Onde stationnaire tuyau ouvert quatre diagrammes.gif; smaller size: Image:Onde stationnaire tuyau ouvert_petit.gif

Source code (Scilab)

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 clear;
 clf;
 
 deff('[y] = pression(x,t)', 'y = 1+sin(t)*sin(x)')
 deff('[y] = vitesse(x,t)', 'y = -sin(t+%pi/2)*cos(x)')
 
 x=0:0.05:%pi; // une demi-onde par tuyau
 y=[-1,-0.9,0.9,1]; // pour la carte de gris
 nx=max(size(x));
 p=2*ones(nx,4); // pour fixer les extremes de l'echelle de couleur,
 p(:,4)=zeros(nx,1); // les niveaux 0 et 2 sont affichés en permanence
 vx(:,1) = 0:%pi/9:%pi; // position des vecteurs vitesse
 nx=max(size(vx));
 vy1 = 0.75*ones(2,nx);
 vy2 = 0.25*ones(2,nx);
 vy3 = -vy2;
 vy4 = -vy1; // 4 lignes de flèches
 xset('colormap', graycolormap(256)); // niveaux de gris
 
 for i=0:9
    for j=0:9
       t=(i*10+j)*0.02*%pi; // temps
       clf;
       p(:,2)=feval(x,t,pression);
       p(:,3)=p(:,2);
       vx(:,2)=vx(:,1)+0.35*feval(vx(:,1),t,vitesse);
       scf(0);
       subplot(2,1,1)
       grayplot(x,y,p,rect=[0,-1,%pi,1],axesflag=0);
       subplot(2,1,2)
       plot2d(vx(:,1),vy1(1,:),...
          rect=[0,-1,%pi,1],style=0,axesflag=0) // pour l'echelle
       xpoly([0,%pi],[0.95,0.95]);
       xpoly([0,%pi],[-0.95,-0.95]);
       xarrows(vx',vy1,arstyle=1); // vecteurs vitesse
       xarrows(vx',vy2,arstyle=1);
       xarrows(vx',vy3,arstyle=1);
       xarrows(vx',vy4,arstyle=1);
       nom='test\test'+code2str(i)+code2str(j)+'.gif'; // nom du fichier
       xs2gif(0,nom,1); // sauvegarde
    end;
 end;

Note
This is not exactly the code that was used. The GIF that were generated seemed to be flawed, so the export function was nom='test\test'+code2str(i)+code2str(j)+'.bmp'; xs2bmp(0,nom), then I had to do it in several times because all the BMP files were not saved (i.e. i ranged from 0 to 3 for the first time, then 4–7 then 8–9.

Licensing

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I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.
You may select the license of your choice.

File history

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Date/TimeThumbnailDimensionsUserComment
current10:51, 16 November 2006Thumbnail for version as of 10:51, 16 November 2006610 × 461 (928 KB)Cdang (talk | contribs)bottom blank removed
10:35, 16 November 2006Thumbnail for version as of 10:35, 16 November 2006610 × 461 (785 KB)Cdang (talk | contribs){{Information |Description={{en|Standing wave in an open pipe, e.g. wind instrument (made with [http://www.scilab.org/ Scilab] and Jasc Animation Shop 2.02)}} {{fr|Onde stationnaire dans un tuyau ouvert, p. ex. un instrument à vent (réalisé avec [http:

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