{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ed897cea",
   "metadata": {},
   "source": [
    "# Dilemme choc / vibration\n",
    "\n",
    "Système masse-ressort-amortisseur à 1 degré de liberté.\n",
    "Deux paramètres gouvernent le comportement de l'emballage :\n",
    "\n",
    "$$f_0 = \\frac{1}{2\\pi}\\sqrt{\\frac{k}{m}} \\qquad \\zeta = \\frac{c}{2\\sqrt{km}}$$\n",
    "\n",
    "- $f_0$ : fréquence propre — détermine la zone de résonance et l'isolation vibratoire\n",
    "- $\\zeta$ (zeta) : amortissement réduit — contrôle l'amplitude du pic et la durée des oscillations post-choc\n",
    "\n",
    "Ce notebook comprend :\n",
    "- trois graphiques séparés (Bode, déplacement, accélération) pour trois configurations types ;\n",
    "- un graphique interactif pour explorer l'effet de $f_0$ et $\\zeta$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "db4e981b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fonctions prêtes.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.integrate import solve_ivp\n",
    "\n",
    "plt.rcParams.update({\n",
    "    'font.size': 10,\n",
    "    'axes.grid': True,\n",
    "    'grid.alpha': 0.3,\n",
    "    'axes.spines.top': False,\n",
    "    'axes.spines.right': False,\n",
    "})\n",
    "\n",
    "# Paramètres communs\n",
    "m     = 1000.0   # masse (kg)\n",
    "g_std = 9.81     # m/s²\n",
    "A_choc = 10 * g_std   # amplitude choc : 10 g\n",
    "T_choc = 11e-3        # durée demi-sinusoïde : 11 ms\n",
    "t_end  = 0.6\n",
    "t_eval = np.linspace(0, t_end, 4000)\n",
    "\n",
    "configs = [\n",
    "    {'label': 'Souple  ($f_0=2$ Hz)',  'f0': 2,  'zeta': 0.10, 'color': '#E05A2B', 'ls': '-'},\n",
    "    {'label': 'Médium  ($f_0=5$ Hz)',  'f0': 5,  'zeta': 0.10, 'color': '#2B7BE0', 'ls': '--'},\n",
    "    {'label': 'Rigide  ($f_0=10$ Hz)', 'f0': 10, 'zeta': 0.10, 'color': '#2BA85A', 'ls': ':'},\n",
    "]\n",
    "\n",
    "def a_sol(t):\n",
    "    return A_choc * np.sin(np.pi * t / T_choc) if 0 <= t <= T_choc else 0.0\n",
    "\n",
    "def transmissibilite(f, f0, zeta):\n",
    "    r = f / f0\n",
    "    return np.sqrt((1 + (2*zeta*r)**2) / ((1 - r**2)**2 + (2*zeta*r)**2))\n",
    "\n",
    "def reponse_choc(f0, zeta):\n",
    "    omega0 = 2 * np.pi * f0\n",
    "    def syst(t, y):\n",
    "        x, v = y\n",
    "        return [v, -2*zeta*omega0*v - omega0**2*x + a_sol(t)]\n",
    "    sol = solve_ivp(syst, [0, t_end], [0, 0], t_eval=t_eval, rtol=1e-9)\n",
    "    v   = sol.y[1]\n",
    "    a_arr = np.array([a_sol(t) for t in sol.t])\n",
    "    a_g   = (a_arr - 2*zeta*omega0*v - omega0**2*sol.y[0]) / g_std\n",
    "    return sol.t*1000, sol.y[0]*1000, a_g\n",
    "\n",
    "f_arr = np.logspace(-0.3, np.log10(150), 2000)\n",
    "print('Fonctions prêtes.')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c16992d6",
   "metadata": {},
   "source": [
    "## 1. Diagramme de Bode — transmissibilité\n",
    "\n",
    "$T(f)$ en dB : au-dessus de 0 dB, la masse vibre plus que le sol (résonance).\n",
    "La zone grisée représente la bande de sollicitation mesurée en transport (1–120 Hz)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5ae40595",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "for cfg in configs:\n",
    "    T_dB = 20 * np.log10(transmissibilite(f_arr, cfg['f0'], cfg['zeta']))\n",
    "    ax.semilogx(f_arr, T_dB, color=cfg['color'], ls=cfg['ls'], lw=2, label=cfg['label'])\n",
    "\n",
    "ax.axvspan(1, 120, alpha=0.08, color='gray', label='Bande 1–120 Hz')\n",
    "ax.axvline(1,   color='gray', lw=0.8, ls='-.')\n",
    "ax.axvline(120, color='gray', lw=0.8, ls='-.')\n",
    "ax.axhline(0,   color='black', lw=0.7, ls='--', alpha=0.4, label='0 dB')\n",
    "ax.annotate('pic 3–4 Hz', xy=(3.5, 3), fontsize=8, color='gray', ha='center')\n",
    "ax.set_xlabel('Fréquence (Hz)')\n",
    "ax.set_ylabel('Transmissibilité (dB)')\n",
    "ax.set_title('Diagramme de Bode')\n",
    "ax.set_xlim(0.5, 150)\n",
    "ax.legend(fontsize=9)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a96b364",
   "metadata": {},
   "source": [
    "## 2. Réponse au choc — déplacement"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e7c53a8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "for cfg in configs:\n",
    "    t_ms, x_mm, _ = reponse_choc(cfg['f0'], cfg['zeta'])\n",
    "    ax.plot(t_ms, x_mm, color=cfg['color'], ls=cfg['ls'], lw=2, label=cfg['label'])\n",
    "\n",
    "ax.axhline(0, color='black', lw=0.6, alpha=0.4)\n",
    "ax.axvspan(0, T_choc*1000, alpha=0.12, color='orange')\n",
    "ax.text(T_choc*500, 0, '11 ms', ha='center', va='bottom', fontsize=8, color='#B05000')\n",
    "ax.set_xlabel('Temps (ms)')\n",
    "ax.set_ylabel('Déplacement (mm)')\n",
    "ax.set_title('Choc — déplacement de la masse')\n",
    "ax.set_xlim(0, t_end*1000)\n",
    "ax.legend(fontsize=9)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33d50413",
   "metadata": {},
   "source": [
    "## 3. Réponse au choc — accélération transmise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c134d59f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "for cfg in configs:\n",
    "    t_ms, _, a_g = reponse_choc(cfg['f0'], cfg['zeta'])\n",
    "    ax.plot(t_ms, a_g, color=cfg['color'], ls=cfg['ls'], lw=2, label=cfg['label'])\n",
    "\n",
    "ax.axhline(0,  color='black', lw=0.6, alpha=0.4)\n",
    "ax.axhline(10, color='gray',  lw=0.8, ls=':', alpha=0.5)\n",
    "ax.axhline(-10,color='gray',  lw=0.8, ls=':', alpha=0.5)\n",
    "ax.axvspan(0, T_choc*1000, alpha=0.12, color='orange')\n",
    "ax.text(T_choc*500, 0, '11 ms', ha='center', va='bottom', fontsize=8, color='#B05000')\n",
    "ax.text(t_end*990, 10.4, '10 g entrée', ha='right', fontsize=8, color='gray')\n",
    "ax.set_xlabel('Temps (ms)')\n",
    "ax.set_ylabel('Accélération (g)')\n",
    "ax.set_title('Choc — accélération transmise à la masse')\n",
    "ax.set_xlim(0, t_end*1000)\n",
    "ax.legend(fontsize=9)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "748d129e",
   "metadata": {},
   "source": [
    "## 4. Exploration interactive — effet de $f_0$ et $\\zeta$\n",
    "\n",
    "Modifiez les curseurs pour observer l'influence de la fréquence propre et de l'amortissement sur les trois critères simultanément."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b4630b28",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1e14ad952bdd4145aacc5e3cb816f56b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=5.0, description='f₀ (Hz)', max=15.0, min=0.5, step=0.5, style=SliderS…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "try:\n",
    "    import ipywidgets as widgets\n",
    "    from IPython.display import display\n",
    "\n",
    "    def tracer(f0=5.0, zeta=0.10):\n",
    "        fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n",
    "        ax1, ax2, ax3 = axes\n",
    "        fig.subplots_adjust(wspace=0.38)\n",
    "\n",
    "        # Références en gris\n",
    "        for cfg in configs:\n",
    "            T_dB = 20 * np.log10(transmissibilite(f_arr, cfg['f0'], cfg['zeta']))\n",
    "            ax1.semilogx(f_arr, T_dB, color='lightgray', ls=cfg['ls'], lw=1.5)\n",
    "            t_ms, x_mm, a_g = reponse_choc(cfg['f0'], cfg['zeta'])\n",
    "            ax2.plot(t_ms, x_mm, color='lightgray', ls=cfg['ls'], lw=1.5)\n",
    "            ax3.plot(t_ms, a_g,  color='lightgray', ls=cfg['ls'], lw=1.5)\n",
    "\n",
    "        # Courbe interactive en rouge\n",
    "        label = f'$f_0={f0}$ Hz, $\\\\zeta={zeta}$'\n",
    "        T_dB = 20 * np.log10(transmissibilite(f_arr, f0, zeta))\n",
    "        ax1.semilogx(f_arr, T_dB, 'r-', lw=2.5, label=label)\n",
    "        t_ms, x_mm, a_g = reponse_choc(f0, zeta)\n",
    "        ax2.plot(t_ms, x_mm, 'r-', lw=2.5, label=label)\n",
    "        ax3.plot(t_ms, a_g,  'r-', lw=2.5, label=label)\n",
    "\n",
    "        ax1.axvspan(1, 120, alpha=0.08, color='gray')\n",
    "        ax1.axhline(0, color='black', lw=0.7, ls='--', alpha=0.4)\n",
    "        ax1.set_xlabel('Fréquence (Hz)'); ax1.set_ylabel('Transmissibilité (dB)')\n",
    "        ax1.set_title('Bode'); ax1.set_xlim(0.5, 150); ax1.legend(fontsize=9)\n",
    "\n",
    "        for ax in (ax2, ax3):\n",
    "            ax.axhline(0, color='black', lw=0.6, alpha=0.4)\n",
    "            ax.axvspan(0, T_choc*1000, alpha=0.10, color='orange')\n",
    "            ax.set_xlabel('Temps (ms)'); ax.set_xlim(0, t_end*1000)\n",
    "            ax.legend(fontsize=9)\n",
    "        ax2.set_ylabel('Déplacement (mm)'); ax2.set_title('Choc — déplacement')\n",
    "        ax3.axhline(10, color='gray', lw=0.8, ls=':', alpha=0.5)\n",
    "        ax3.axhline(-10, color='gray', lw=0.8, ls=':', alpha=0.5)\n",
    "        ax3.set_ylabel('Accélération (g)'); ax3.set_title('Choc — accélération')\n",
    "\n",
    "        plt.suptitle(f'Exploration : $f_0 = {f0}$ Hz, $\\\\zeta = {zeta}$', y=1.02)\n",
    "        plt.show()\n",
    "\n",
    "    widgets.interact(\n",
    "        tracer,\n",
    "        f0   = widgets.FloatSlider(value=5.0, min=0.5, max=15.0, step=0.5,\n",
    "                                   description='f₀ (Hz)', style={'description_width': '80px'}),\n",
    "        zeta = widgets.FloatSlider(value=0.10, min=0.01, max=0.50, step=0.01,\n",
    "                                   description='ζ (zeta)', style={'description_width': '80px'}),\n",
    "    )\n",
    "\n",
    "except ImportError:\n",
    "    print(\"ipywidgets non disponible (environnement Basthon) — affichage statique\")\n",
    "    for f0, zeta, color in [(3.0, 0.10, 'steelblue'), (5.0, 0.10, 'red'), (8.0, 0.25, 'green')]:\n",
    "        fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n",
    "        ax1, ax2, ax3 = axes\n",
    "        fig.subplots_adjust(wspace=0.38)\n",
    "        label = f'f₀={f0} Hz, ζ={zeta}'\n",
    "        T_dB = 20 * np.log10(transmissibilite(f_arr, f0, zeta))\n",
    "        ax1.semilogx(f_arr, T_dB, color=color, lw=2.5, label=label)\n",
    "        t_ms, x_mm, a_g = reponse_choc(f0, zeta)\n",
    "        ax2.plot(t_ms, x_mm, color=color, lw=2.5, label=label)\n",
    "        ax3.plot(t_ms, a_g,  color=color, lw=2.5, label=label)\n",
    "        ax1.axvspan(1, 120, alpha=0.08, color='gray')\n",
    "        ax1.axhline(0, color='black', lw=0.7, ls='--', alpha=0.4)\n",
    "        ax1.set_xlabel('Fréquence (Hz)'); ax1.set_ylabel('Transmissibilité (dB)')\n",
    "        ax1.set_title('Bode'); ax1.set_xlim(0.5, 150); ax1.legend(fontsize=9)\n",
    "        for ax in (ax2, ax3):\n",
    "            ax.axhline(0, color='black', lw=0.6, alpha=0.4)\n",
    "            ax.axvspan(0, T_choc*1000, alpha=0.10, color='orange')\n",
    "            ax.set_xlabel('Temps (ms)'); ax.set_xlim(0, t_end*1000)\n",
    "            ax.legend(fontsize=9)\n",
    "        ax2.set_ylabel('Déplacement (mm)'); ax2.set_title('Choc — déplacement')\n",
    "        ax3.axhline(10, color='gray', lw=0.8, ls=':', alpha=0.5)\n",
    "        ax3.axhline(-10, color='gray', lw=0.8, ls=':', alpha=0.5)\n",
    "        ax3.set_ylabel('Accélération (g)'); ax3.set_title('Choc — accélération')\n",
    "        plt.suptitle(f'Exploration statique : f₀={f0} Hz, ζ={zeta}', y=1.02)\n",
    "        plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "40f44001-b06b-4ee2-9223-4730c906918b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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