{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Universidade Federal do Rio Grande do Sul (UFRGS)   \n",
    "Programa de Pós-Graduação em Engenharia Civil (PPGEC)   \n",
    "\n",
    "# PEC00025: Introduction to Vibration Theory\n",
    "\n",
    "\n",
    "## Test P1 (2022/1): time and frequency domain analysis of sdof systems\n",
    "\n",
    "---\n",
    "\n",
    "**NAME:** <br/>\n",
    "**CARD:** \n",
    "\n",
    "\n",
    "#### Instruções\n",
    "\n",
    "1. Entregar a resolução da prova em arquivo único, com no máximo 10Mb, até as 18h de hoje, 25 de abril de 2022.\n",
    "2. Recomenda-se verificar atentamente se todas as folhas da resolução foram incluídas no arquivo gerado, pois não serão aceitas entregas posteriores.\n",
    "3. Na primeira folha do arquivo deve constar claramente o NOME e o cartão de MATRÍCULA.\n",
    "4. A consulta ao material de estudo e o uso do computador para cálculos são LIVRES.\n",
    "5. A prova deve ser realizada INDIVIDUALMENTE, sem recorrer ao auxílio de colegas ou outras pessoas! Caso se verifique o descumprimento desta regra, todos os envolvidos na fraude terão a nota da prova zerada.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing Python modules required for this notebook\n",
    "# (this cell must be executed with \"shift+enter\" before any other Python cell)\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from MRPy import *\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Questão 1\n",
    "\n",
    "Um cabo com comportamento elástico linear é disposto horizontalmente.\n",
    "O cabo tem comprimento total $L = 4{\\rm m}$, \n",
    "rigidez axial $EA = 4000{\\rm kN}$, e uma massa $m = 20{\\rm kg}$ \n",
    "fixada no seu centro. O cabo tem uma protensão inicial $T_0 = 20{\\rm kN}$. \n",
    "O amortecimento do sistema é $\\zeta = 0.01$ (razão do crítico).\n",
    "A rigidez à flexão bem como a massa do cabo são desprezáveis.\n",
    "A aceleração da gravidade no local é $g = 9.81{\\rm m/s^2}$.\n",
    "O _grau de liberdade_ considerado é o deslocamento vertical da massa $m$.\n",
    "\n",
    "<img src=\"resources/tests/PEC00025A_221_P1_Q1.png\" alt=\"Question 1\" width=\"680px\"/>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Admitindo-se uma condição de pequenos deslocamentos, pergunta-se:\n",
    "\n",
    "1. Qual o deslocamento $u_{\\rm est}$ devido ao peso próprio?\n",
    "2. Qual a frequência natural de vibração livre do sistema cabo-massa?\n",
    "3. Liberando-se a massa a partir da posição $u(0) = 0{\\rm m}$, sob ação da gravidade, qual a maior amplitude atingida por $u(t)$? \n",
    "4. Desconsiderando-se a parcela estática do deslocamento e dado um deslocamento inicial $u_0 = 4{\\rm cm}$, qual o tempo transcorrido até que a amplitude de vibração caia à metade deste valor? \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   A rigidez ligada à massa é 20000N/m.\n",
      "\n",
      "1) Deslocamento por peso póprio é 9.81mm.\n",
      "\n",
      "2) Frequência natural é 5.03Hz.\n",
      "\n",
      "3) Deslocamento dinâmico é 19.62mm.\n",
      "\n",
      "4) Tempo até meia amplitude é 2.19s. \n",
      "\n"
     ]
    }
   ],
   "source": [
    "L  =  4.\n",
    "m  =  20.\n",
    "zt =  0.01\n",
    "T0 =  20000. \n",
    "g  =  9.81\n",
    "\n",
    "k  =  4*T0/L\n",
    "\n",
    "ug =  m*g/k\n",
    "fn =  np.sqrt(k/m)/2/np.pi\n",
    "N  =  np.log(2)/(2*np.pi*zt)\n",
    "\n",
    "print('   A rigidez ligada à massa é {0:4.0f}N/m.\\n'.format(k))\n",
    "print('1) Deslocamento por peso póprio é {0:3.2f}mm.\\n'.format(1000*ug))\n",
    "print('2) Frequência natural é {0:3.2f}Hz.\\n'.format(fn))\n",
    "print('3) Deslocamento dinâmico é {0:5.2f}mm.\\n'.format(2000*ug))\n",
    "print('4) Tempo até meia amplitude é {0:3.2f}s. \\n'.format(N/fn))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Questão 2\n",
    "\n",
    "A massa central do problema anterior é submetida a uma carga transiente, $F(t)$, dada pela função abaixo, \n",
    "com amplitude $F_0 = 500{\\rm N}$ e duração $T_{\\rm d} = 0.5{\\rm s}$. \n",
    "A variável $\\tau$ representa o tempo adimensionalizado por $T_{\\rm d}$.\n",
    "\n",
    "<img src=\"resources/tests/PEC00025A_221_P1_Q2.png\" alt=\"Question 2\" width=\"480px\"/>  \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Desconsiderando-se a parcela estática da resposta (devida ao peso próprio), pergunta-se:\n",
    "\n",
    "1. Qual o maior amplitude de deslocamento atingida?\n",
    "2. Qual o fator de amplificação dinâmica para este carregamento?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Td = 0.05\n",
    "F0 = 500.\n",
    "t  = np.linspace(0, 2*Td, 512)\n",
    "τ  = t/Td\n",
    "fs = 512/(2*Td)\n",
    "dt = 1/fs\n",
    "\n",
    "F   = 4*F0*(τ - τ**2)\n",
    "F[t > Td] = 0.\n",
    "F   = MRPy(F, fs=fs)\n",
    "\n",
    "F.plot_time(fig=1, figsize=(10,4), axis_t=[0, 2*Td, -200, 800]);\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0) Deslocamento estático é 25.00mm.\n",
      "\n",
      "1) Deslocamento de pico é 24.31mm.\n",
      "\n",
      "2) Amplificação dinâmica é 0.97 (adim.).\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u  =  F.sdof_Duhamel(fn, zt, U0=0., V0=0.)/m\n",
    "\n",
    "u.plot_time(fig=2, figsize=(10,4), axis_t=[0, 2*Td,-0.01, 0.05]);\n",
    "\n",
    "ue  =  F0/k\n",
    "up  =  u.max()\n",
    "\n",
    "print('0) Deslocamento estático é {0:3.2f}mm.\\n'.format(1000*ue))\n",
    "print('1) Deslocamento de pico é {0:3.2f}mm.\\n'.format(1000*up))\n",
    "print('2) Amplificação dinâmica é {0:3.2f} (adim.).\\n'.format(up/ue))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0) O impulso é 16.63Ns.\n",
      "\n",
      "1) A velocidade inicial é  0.83m/s.\n",
      "\n",
      "1) Deslocamento de pico é 26.30mm.\n",
      "\n",
      "2) Amplificação dinâmica é 1.05 (adim.).\n",
      "\n"
     ]
    }
   ],
   "source": [
    "I  = np.sum(F)*dt\n",
    "v0 = I/m\n",
    "ud = v0/(2*np.pi*fn)\n",
    "\n",
    "print('0) O impulso é {0:5.2f}Ns.\\n'.format(I))\n",
    "print('1) A velocidade inicial é {0:5.2f}m/s.\\n'.format(v0))\n",
    "print('1) Deslocamento de pico é {0:3.2f}mm.\\n'.format(1000*ud))\n",
    "print('2) Amplificação dinâmica é {0:3.2f} (adim.).\\n'.format(ud/ue))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Questão 3\n",
    "\n",
    "Uma viga com comportamento elástico linear é disposta horizontalmente.\n",
    "A viga tem comprimento total $L = 4{\\rm m}$, \n",
    "rigidez à flexão $EI = 6.5{\\rm kN m^2}$, e uma massa $m = 20{\\rm kg}$ \n",
    "fixada no seu centro.\n",
    "O amortecimento do sistema é $\\zeta = 0.01$ (razão do crítico).\n",
    "A massa da viga é desprezável.\n",
    "A aceleração da gravidade no local é $g = 9.81{\\rm m/s^2}$.\n",
    "O _grau de liberdade_ considerado é o deslocamento vertical da massa $m$.\n",
    "\n",
    "<img src=\"resources/tests/PEC00025A_221_P1_Q3.png\" alt=\"Question 3\" width=\"600px\"/>  \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pergunta-se:\n",
    "\n",
    "1. Qual o deslocamento $u_{\\rm est}$ devido ao peso próprio?\n",
    "2. Qual a frequência natural de vibração livre do sistema viga-massa?\n",
    "3. Liberando-se a massa a partir da posição $u(0) = 0{\\rm m}$, qual a maior amplitude atingida por $u(t)$ devida à ação da gravidade? \n",
    "4. Desconsiderando-se a parcela estática do deslocamento e dado um deslocamento inicial $u_0 = 4{\\rm cm}$, qual o tempo transcorrido até que a amplitude de vibração caia à metade deste valor? \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1) Deslocamento estático é 40.25mm.\n",
      "\n",
      "2) Frequência natural é 2.48Hz.\n",
      "\n",
      "3) Pico do deslocamento dinâmico é 80.49mm.\n",
      "\n",
      "4) Tempo até meia amplitude é 4.44s. \n",
      "\n"
     ]
    }
   ],
   "source": [
    "L  =  4.\n",
    "m  =  20.\n",
    "EI =  6500.\n",
    "zt =  0.01\n",
    "g  =  9.81\n",
    "\n",
    "k  =  48*EI/(L**3)\n",
    "\n",
    "ug =  m*g/k\n",
    "fn =  np.sqrt(k/m)/2/np.pi\n",
    "N  =  np.log(2)/(2*np.pi*zt)\n",
    "\n",
    "print('1) Deslocamento estático é {0:3.2f}mm.\\n'.format(1000*ug))\n",
    "print('2) Frequência natural é {0:3.2f}Hz.\\n'.format(fn))\n",
    "print('3) Pico do deslocamento dinâmico é {0:3.2f}mm.\\n'.format(2000*ug))\n",
    "print('4) Tempo até meia amplitude é {0:3.2f}s. \\n'.format(N/fn))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Questão 4\n",
    "\n",
    "A extremidade esquerda da viga é submetida a uma aceleração sísmica $a(t)$ com densidade espectral $S_a(f)$,\n",
    "dada na figura abaixo, onde $\\sigma_a = 0.1g$ (10% da gravidade) e $r = 10$ (eixo das frequências em hertz). \n",
    "\n",
    "<img src=\"resources/tests/PEC00025A_221_P1_Q4.png\" alt=\"Question 4\" width=\"420px\"/>  \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Admitindo-se que a força sísmica na massa central é dada aproximadamente pelo produto da massa pela metade da \n",
    "aceleração no apoio esquerdo, conforme indicado na figura da viga, e fazendo-se a hipótese de pequenos deslocamentos, \n",
    "pergunta-se:\n",
    "\n",
    "1. Qual o valor r.m.s. da resposta em deslocamento $u(t)$?\n",
    "2. Qual o valor r.m.s. da resposta em aceleração $\\ddot{u}(t)$?\n",
    "3. Qual o valor de pico do deslocamento esperado para 1 minuto de excitação estacionária?\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 4.1 Solução no domínio da frequência\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Amplitude r.m.s. pela integral do espectro é 0.09919g.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "M  =  1025\n",
    "σa =  0.1*g\n",
    "r  =  10.\n",
    "f  =  np.linspace(0, 2*r, M)\n",
    "fs =  2*f[-1]\n",
    "\n",
    "Sa =  np.zeros_like(f)\n",
    "\n",
    "#Sa[f > 1/r] = (σa**2)/(2*np.log(r))*(1/f[f > 1/r])\n",
    "#Sa[f < 1/r] =  0.\n",
    "#Sa[f >  r ] =  0.\n",
    "\n",
    "kf = (f > 1/r) & (f < r)\n",
    "Sa[kf] = (σa**2)/(2*np.log(r))*(1/f[kf])\n",
    "\n",
    "sa2 =  np.trapz(Sa, f)\n",
    "sa  =  np.sqrt(sa2)/g\n",
    "\n",
    "print('Amplitude r.m.s. pela integral do espectro é {0:6.5f}g.\\n'.format(sa))\n",
    "\n",
    "SF  = ((m/2)**2)*Sa\n",
    "\n",
    "plt.figure(3, figsize=(10,4), clear=True)\n",
    "plt.semilogy(f, SF);\n",
    "plt.grid(True)\n",
    "plt.axis([0, 2*r, 1e-0, 1e3])\n",
    "plt.xlabel('Frequência (Hz)')\n",
    "plt.ylabel('Espectro da força [N²/Hz]');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "H2  =  lambda fi: 1/( (1 - (fi/fn)**2)**2 + (2*zt*(fi/fn))**2 )/(k**2)\n",
    "Su  =  H2(f)*SF\n",
    "\n",
    "plt.figure(4, figsize=(10,4), clear=True)\n",
    "plt.semilogy(f, Su);\n",
    "plt.grid(True)\n",
    "plt.axis([0, 2*r, 1e-10, 1e-2])\n",
    "plt.xlabel('Frequência (Hz)')\n",
    "plt.ylabel('Espectro do deslocamento [m²/Hz]');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(Fator de pico da resposta em deslocamento é 3.34)\n",
      "\n",
      "1) Amplitude r.m.s. da resposta em deslocamento é 8.45mm.\n",
      "\n",
      "2) Amplitude r.m.s. da resposta em aceleração é 2.0362m/s².\n",
      "\n",
      "3) Amplitude de pico da resposta (60s) é 28.22mm.\n",
      "\n",
      "2.43602127875121\n"
     ]
    }
   ],
   "source": [
    "su2 =  np.trapz(    Su, f)\n",
    "su4 =  np.trapz(f*f*Su, f)\n",
    "\n",
    "nu  =  np.sqrt(su4/su2)\n",
    "lnu =  np.sqrt(2*np.log(60*nu))    # Tempo de excitação é 60 segundos!\n",
    "g   =  lnu + 0.5772/lnu\n",
    "\n",
    "su  =  1000*np.sqrt(su2)\n",
    "up  =  g*su\n",
    "\n",
    "SaG = ((2*np.pi*f)**4)*Su\n",
    "sa  =  np.sqrt(np.trapz(SaG, f))\n",
    "\n",
    "print('(Fator de pico da resposta em deslocamento é {0:3.2f})\\n'.format(g))\n",
    "print('1) Amplitude r.m.s. da resposta em deslocamento é {0:3.2f}mm.\\n'.format(su))\n",
    "print('2) Amplitude r.m.s. da resposta em aceleração é {0:5.4f}m/s².\\n'.format(sa))\n",
    "print('3) Amplitude de pico da resposta (60s) é {0:3.2f}mm.\\n'.format(up))\n",
    "\n",
    "print(nu)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 4.2 Solução no domínio do tempo por simulação"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fa = MRPy.from_periodogram(SF, fs=fs)\n",
    "t  = Fa.t_axis()\n",
    "\n",
    "plt.figure(5, figsize=(10,4), clear=True)\n",
    "plt.plot(t, Fa[0], lw=0.5);\n",
    "plt.grid(True)\n",
    "plt.axis([0, Fa.Td, -40, 40])\n",
    "plt.xlabel('Frequência (Hz)')\n",
    "plt.ylabel('Força (N)');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1) Amplitude r.m.s. da resposta em deslocamento é 7.65mm.\n",
      "\n",
      "3) Amplitude de pico da resposta (60s) é 21.68mm.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ua  =  Fa.sdof_Duhamel(fn, zt)/m\n",
    "\n",
    "sua =  Ua.std()\n",
    "pua =  np.max(np.abs(Ua))\n",
    "\n",
    "print('1) Amplitude r.m.s. da resposta em deslocamento é {0:3.2f}mm.\\n'.format(1000*sua))\n",
    "print('3) Amplitude de pico da resposta (60s) é {0:3.2f}mm.\\n'.format(1000*pua))\n",
    "\n",
    "plt.figure(6, figsize=(10,4), clear=True)\n",
    "plt.plot(t, 1000*Ua[0], lw=0.5);\n",
    "plt.grid(True)\n",
    "plt.axis([0, Ua.Td, -40, 40])\n",
    "plt.xlabel('Tempo (s)')\n",
    "plt.ylabel('Deslocamento (mm)');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2) Amplitude r.m.s. da resposta em aceleração é 1.9411m/s².\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a   =  Ua.differentiate(band=[1/r, r])\n",
    "a   =   a.differentiate(band=[1/r, r])\n",
    "\n",
    "print('2) Amplitude r.m.s. da resposta em aceleração é {0:5.4f}m/s².\\n'.format(a.std()))\n",
    "\n",
    "plt.figure(7, figsize=(10,4), clear=True)\n",
    "plt.plot(t, a[0], lw=0.5);\n",
    "plt.grid(True)\n",
    "plt.axis([0, a.Td, -10, 10])\n",
    "plt.xlabel('Tempo (s)')\n",
    "plt.ylabel('Aceleração (m/s²)');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Sa, fs = a.periodogram()\n",
    "\n",
    "plt.figure(8, figsize=(10,4), clear=True)\n",
    "plt.semilogy(a.f_axis(), Sa[0], lw=0.5);\n",
    "plt.grid(True)\n",
    "plt.axis([0, 2*r, 1e-5, 1e3])\n",
    "plt.xlabel('Tempo (s)')\n",
    "plt.ylabel('Aceleração (m/s²)');\n",
    "\n",
    "plt.figure(9, figsize=(10,4), clear=True)\n",
    "plt.semilogy(f, SaG);\n",
    "plt.grid(True)\n",
    "plt.axis([0, 2*r, 1e-5, 1e3])\n",
    "plt.xlabel('Frequência (Hz)')\n",
    "plt.ylabel('Espectro do deslocamento [m²/Hz]');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}