File:Onde stationnaire tuyau ferme quatre diagrammes.gif

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Onde_stationnaire_tuyau_ferme_quatre_diagrammes.gif(610 × 461 pixels, file size: 565 KB, MIME type: image/gif, looped, 100 frames, 10 s)

Captions

Captions

Add a one-line explanation of what this file represents

Summary[edit]

Description
English: Standing wave in a closed pipe, e.g. pan flute and gedackt organ pipes; pressure (top) and relative speed (bottom) of the air, with figurative (left) and quantitative (right, arbitrary scales) representation (made with Scilab and Jasc Animation Shop 2.02)
Français : Onde stationnaire dans un tuyau fermé, p. ex. flûte de pan et tuyau d'orgue à résonateur ouvert ; pression (haut) et vitesse relative (bas) de l'air, en représentation figurative (gauche) et quantitative (droite, échelles arbitraires) (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 without quantitative diagrams: Image:Onde stationnaire tuyau ferme.gif, smaller size: Image:Onde stationnaire tuyau ferme quatre diagrammes petit.gif

Source code (Scilab)[edit]

 clear;
 clf;
 
 deff('[y] = pression(x,t)', 'y = sin(t)*sin(x)')
 deff('[y] = vitesse(x,t)', 'y = -sin(t+%pi/2)*cos(x)')
 
 x=0:0.025:%pi/2; // tuyau quart d'onde
 y=[-1,-0.9,0.9,1]; // hauteur du tuyau
 nx=max(size(x));
 p=2*ones(nx,4); // pour fixer les extremes de l'echelle des couleurs
 p(:,4)=zeros(nx,1); // les niveaux 0 et 2 sont toujours affiches
 vx(:,1) = 0:%pi/18:%pi/2; // 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;
       clf;
       p1=-feval(x,t,pression);
       p(:,2)=1 - p1;
       // l'inversion du signe permet d'avoir les
       // hautes pression en sombre
       // sans torturer la carte des gris
       p(:,3)=p(:,2);
       vx(:,2)=vx(:,1)+0.2*feval(vx(:,1),t,vitesse);
       v=feval(x,t,vitesse);
       scf(0);
       subplot(2,2,1)
          grayplot(x,y,p,rect=[0,-1,%pi/2,1],axesflag=0);
          xpoly([1.56,1.56],[-0.95,0.95]);
       subplot(2,2,3)
          plot2d(vx(:,1),vy1(1,:),...
             rect=[0,-1,%pi/2,1],style=0,axesflag=0)
             // pour l'echelle
          xpoly([0,1.57],[0.95,0.95]);
          xpoly([0,1.57],[-0.95,-0.95]);
          xpoly([1.56,1.56],[-0.95,0.95]);
          xarrows(vx',vy1,arsize=0.7);
          xarrows(vx',vy2,arsize=0.7);
          xarrows(vx',vy3,arsize=0.7);
          xarrows(vx',vy4,arsize=0.7);
       subplot(2,2,2)
          plot2d(x,p1,rect=[0,-1,%pi/2,1],axesflag=5);
          xtitle('P-P0','x', ' ')
       subplot(2,2,4)
          plot2d(x,v,rect=[0,-1,%pi/2,1],axesflag=5);
          xtitle('V-V0','x', ' ')
       nom='test\test'+code2str(i)+code2str(j)+'.gif';
       xs2gif(0,nom,1)
    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).

Licensing[edit]

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

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current08:45, 17 November 2006Thumbnail for version as of 08:45, 17 November 2006610 × 461 (565 KB)Cdang (talk | contribs)== Summary == {{Information |Description={{en|Standing wave in a closed pipe, e.g. pan flute and gedackt organ pipes; pressure (top) and relative speed (bottom) of the air, with figurative (left) and quantitative (right, arbitrary scales) representation

There are no pages that use this file.