{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Animation pour une onde progressive\n", "\n", "(code sous licence creative commun CC BY-NC-SA BY Gaëlle Rebolini)\n" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ":download:`Télécharger le pdf <./exemple_3_ondes_progressives.ipynb>`\n", "\n", ":download:`Télécharger le notebook <./exemple_3_ondes_progressives.ipynb>`\n", "\n", ":download:`Lancer le notebook sur binder (lent) `" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ce programme propose l'animation d'une onde progressive à partir des valeurs:\n", "\n", "- de l'amplitude\n", "- de la période\n", "- de la longueur d'onde\n", "\n", "(Une fois lancée, patientez un peu pour voir l'animation)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "from matplotlib import animation, rc\n", "\n", "# Fonction permettant l'animation d'une onde\n", "# d'amplitude Ymax (en m), de période T (en secondes)\n", "# et de longueur d'onde lamb (en m). L'affichage sur x\n", "# se fait entre 0 et xmax (xmax = 3 longueurs d'onde\n", "# si le paramètre n'est pas fourni)\n", "def onde_progressive(Ymax, T, lamb, xmax=None):\n", " print(\"Calcul de l'animation en cours, \"\n", " \"merci de patienter...\")\n", " xmin=0\n", " if xmax is None:\n", " xmax=3*lamb\n", " nbx=100\n", "\n", " fig=plt.figure(figsize=(12,10))\n", " line = plt.plot([], [],'bo-')\n", " plt.xlim(xmin,xmax)\n", " plt.ylim(-Ymax,Ymax)\n", " plt.grid()\n", " plt.xlabel(\"x(m)\")\n", " plt.ylabel(\"y(m)\")\n", " plt.title(\"animation : propagation d'une \"\n", " \"onde le long d'une corde\")\n", "\n", " def init():\n", " line[0].set_data([], [])\n", " return (line)\n", "\n", " def animate(i):\n", " dt=0.03 \n", " t=i*dt\n", " x = np.linspace(xmin, xmax, nbx)\n", " y = Ymax*np.cos(2 * np.pi * (x/lamb - t/T))\n", " line[0].set_data(x, y)\n", " return (line)\n", "\n", " anim = animation.FuncAnimation(\n", " fig,\n", " animate,\n", " init_func=init,frames=50,\n", " interval=30,\n", " blit=True,\n", " repeat=False)\n", "\n", " plt.close()\n", "\n", " # lignes de code à remplacer par plt.show() \n", " # sur un éditeur python (spyder...)\n", " rc('animation', html='jshtml') \n", " print(\"Calcul terminé, affichage en cours de téléchargement...\")\n", " return anim\n", "\n", "# patience, c'est un peu long à s'afficher..." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Calcul de l'animation en cours, merci de patienter...\n", "Calcul terminé, affichage en cours de téléchargement...\n" ] }, { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
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