{ "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 (2024/1): time and frequency domain analysis of sdof systems\n", "\n", "---\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", "\n", "from MRPy import *\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Questão 1\n", "\n", "Uma torre esbelta tem massa equivalente $m = 1.0$ton, rigidez $k = 3EI/L^3$, e amortecimento $\\zeta = 1$% (razão do crítico). A altura da massa (e do topo) é $L = 10$m, enquanto a rigidez à flexão, $EI$, é tal que a frequência natural de vibração livre resulta ser $f_{\\rm n} = 0.5$Hz. Sobre a massa atua uma força impulsiva devida ao impacto (perfeitamente elástico) de um projétil de massa $m_{\\rm p} = 50$kg que se desloca a uma velocidade $v_{\\rm p} = 100$km/h. Pergunta-se:\n", "\n", "1. Qual o máximo deslocamento do topo da torre após o impacto?\n", "2. Qual a máxima aceleração do topo da torre após o impacto?\n", "3. Qual a amplitude do deslocamento após transcorrerem 5 segundos?\n", "4. Quais as máximas reações de apoio $M_{\\rm A}$ (momento) e $H_{\\rm A}$ (força horizontal)? \n", "\n", "<img src=\"resources/tests/PEC00025A_241_P1_Q1.jpg\" alt=\"Question 1\" width=\"320px\"/>\n", "\n", "\n", "### Cálculo das propriedades do sistema\n", "\n", "Nos cálculos abaixo se considera que o projétil rebota após o impacto, sem perdas e,\n", "portanto, terá velocidade $v_{\\rm p}$ com o sentido contrário. Isso faz com que a \n", "quantidade de movimento antes do impacto seja:\n", "\n", "$$ Q_0 = m_{\\rm p} v_{\\rm p} $$\n", "\n", "e após o impacto seja:\n", "\n", "$$ Q = M V_0 - m_{\\rm p} v_{\\rm p} $$\n", "\n", "Considerando a conservação da quantidade de movimento $Q = Q_0$ têm-se:\n", "\n", "$$ V_0 = 2 m_{\\rm p} v_{\\rm p} / M $$\n", "\n", "onde $V_0$ é a velocidade inicial (pós impacto) da massa no topo da torre.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Rigidez da torre ................... k = 9.87 kN/m\n", "Rigidez à flexão da torre .......... EI = 3289.9 kNm2\n", "Velocidade inicial do projétil ..... vp = 27.8 m/s\n", "\n", "Máxima duração para ser Dirac ...... Td = 0.50 s\n", "Mínimo comprimento do projétil ..... Lp = 6.94 m\n", "\n", "Velocidade da torre após impacto ... V0 = 2.78 m/s\n" ] } ], "source": [ "L = 10. # altura da torre (m)\n", "M = 1000. # massa no topo da torre (kg)\n", "zt = 0.01 # amortecimento razão do crítico\n", "fn = 0.5 # frequência fundamental da torre (Hz)\n", "wn = 2*fn*np.pi # frequência fundamental em rad/s\n", "Tn = 1/fn # período de vibração (s)\n", "\n", "mp = 50. # massa do projétil\n", "vp = 100/3.6 # velocidade do projétil (m/s)\n", "Qp = mp*vp # quantidade de movimento inicial\n", "\n", "g = 9.81 # gravidade (m/s2)\n", "\n", "k = M*wn*wn # coeficiente de rigidez\n", "EI = k*(L**3)/3 # rigidez à flexão da torre\n", "\n", "V0 = 2*Qp/M # o projétil REBOTA com a mesma velocidade vp!!!\n", "Td = Tn/4. # máxima duração do contato para ser Dirac\n", "Lp = vp*Td/2 # mínimo comprimento do projétil (onda vai e volta)\n", "\n", "print('Rigidez da torre ................... k = {0:7.2f} kN/m'.format(k/1000))\n", "print('Rigidez à flexão da torre .......... EI = {0:7.1f} kNm2'.format(EI/1000))\n", "print('Velocidade inicial do projétil ..... vp = {0:7.1f} m/s\\n'.format(vp))\n", "print('Máxima duração para ser Dirac ...... Td = {0:7.2f} s'.format(Td))\n", "print('Mínimo comprimento do projétil ..... Lp = {0:7.2f} m\\n'.format(Lp))\n", "\n", "print('Velocidade da torre após impacto ... V0 = {0:7.2f} m/s'.format(V0))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1) Deslocamento máximo\n", "\n", "Considerando portanto que o projétil tenha comprimento menor que 6.94m, o que garante\n", "um tempo de contato inferior a 0.50s (1/4 do período de vibração da torre), podemos\n", "considerar que o impulso é de curtíssima duração. Consequentemente, a resposta\n", "dinâmica será a resposta à velocidade inicial $V_0 = 2.78$m/s calculada.\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Deslocamento após 1/4 do período .......... u_max = 0.87 m\n", "Sem considerar amortecimento .............. u_max = 0.88 m\n" ] } ], "source": [ "wD = wn*np.sqrt(1 - zt*zt)\n", "umax = (V0/wD)*np.exp(-zt*wn*Tn/4) # o pico ocorre após 1/4 do período\n", "\n", "print('Deslocamento após 1/4 do período .......... u_max = {0:5.2f} m'.format(umax))\n", "print('Sem considerar amortecimento .............. u_max = {0:5.2f} m'.format(V0/wD))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "O cálculo abaixo apresenta o resultado correto para essa questão utilizado\n", "uma integração por Duhamel.\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Deslocamento máximo por simulação ......... u_pk = 0.86 m\n" ] }, { "data": { "image/png": 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", "text/plain": [ "<Figure size 800x400 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = MRPy.zeros(NX=1, N=4096, fs=1024.)\n", "u1 = F.sdof_Duhamel(fn, zt, U0=0., V0=V0).zero_mean()\n", "upk = np.max(u1[0])\n", "\n", "print('Deslocamento máximo por simulação ......... u_pk = {0:5.2f} m'.format(upk))\n", "\n", "u1.plot_time(fig=1, figsize=[8,4], axis_t=[0, u1.Td, -1, 1]);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2) Máxima aceleração da torre após impacto\n", "\n", "Estritamente falando a aceleração da torre é infinita, pois ela passa de\n", "velocidade zero a uma velocidade imposta $V_0$. Por outro lado, vamos também\n", "calcular a aceleração após o início da vibração livre, ou seja, decorrido\n", "um tempo igual a 1/8 do período de modo a se observar o primeiro pico.\n", "\n", "Podemos considerar que a resposta é não-amortecida nos primeiros ciclos. Assim\n", "a aceleração, sendo a segunda derivada do deslocamento, pode ser aproximada\n", "(desconsiderando-se o amortecimento) como:\n", "\n", "$$ a_{\\rm max} = w_{\\rm n}^2 \\; u_{\\rm max} $$\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aceleração máxima por derivação ........... a_max = 8.59 m/s2\n" ] } ], "source": [ "amax = wn*wn*umax\n", "\n", "print('Aceleração máxima por derivação ........... a_max = {0:5.2f} m/s2'.format(amax))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Isso também pode ser calculado derivando-se duas vezes a resposta simulada:\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aceleração máxima por simulação ............ a_pk = 8.67 m/s2\n" ] }, { "data": { "image/png": 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", "text/plain": [ "<Figure size 800x400 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "band = [0, 2*fn]\n", "a1 = u1.differentiate(band=band).differentiate(band=band)\n", "apk = -np.min(a1[0][a1.t_axis() > 0.2])\n", "\n", "print('Aceleração máxima por simulação ............ a_pk = {0:5.2f} m/s2'.format(apk))\n", "\n", "a1.plot_time(fig=2, figsize=[8,4], axis_t=[0, a1.Td, -15, 15]);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Percebe-se, portanto, um erro associado à integração numérica logo no início da série temporal.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3) Amplitude do deslocamento após 5s\n", "\n", "Como o período é de 2s, após 5s terão transcorridos 2 períodos e meio. Neste exato instante \n", "a amplitude do deslocamento é zero. \n", "\n", "Por outro lado, também podemos entender essa amplitude como o multiplicador (envelope exponencial)\n", "da solução teórica para a vibração livre, que decai exponencialmente conforme a razão de\n", "amortecimento.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Deslocamento após 1/4 do período ........... u_max = 0.87 m\n", "Amplitude do envelope após 5s ............. u_damp = 0.74 m\n" ] } ], "source": [ "udamp = umax*np.exp(-zt*wn*5.0) # decaimento do envelope após 5s.\n", "\n", "print('Deslocamento após 1/4 do período ........... u_max = {0:5.2f} m'.format(umax))\n", "print('Amplitude do envelope após 5s ............. u_damp = {0:5.2f} m'.format(udamp))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Portanto, em 5s a amplitude do deslocamento decresceu $\\approx 13$cm.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4) Máximas reações de apoio $M_{\\rm A}$ e $H_{\\rm A}$\n", "\n", "As máximas reações podem ser estimadas a partir da força estática equivalente. \n", "Para isso, vamos usar o deslocamento máximo da questão (1).\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Máximo momento reativo no engaste ........... M_A = 85.9 kNm\n", "Máxima reação horizontal no engaste ......... H_A = 8.6 kN\n" ] } ], "source": [ "Feq = umax*k # força estática equivalente\n", "\n", "MA = L*Feq # momento reativo\n", "HA = Feq # reação vertical\n", "\n", "print('Máximo momento reativo no engaste ........... M_A = {0:5.1f} kNm'.format(MA/1000))\n", "print('Máxima reação horizontal no engaste ......... H_A = {0:5.1f} kN'.format(HA/1000))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observa-se que a força estática equivalente (igual à reação horizontal na fundação) \n", "atinge quase o valor correspondente ao peso próprio da torre.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Questão 2\n", "\n", "A mesma torre da questão anterior é submetida à força do vento atuando sobre a massa, descrita na forma de uma densidade espectral dada abaixo. \n", "\n", "5. Qual o valor r.m.s. do deslocamento do topo da torre? \n", "6. Qual o valor de pico da aceleração no topo da torre?\n", "7. Quais as máximas reações de apoio MA (momento) e HA (força horizontal)?\n", "8. Após 64 segundos, por quanto tempo o momento MA superou metade do valor máximo?\n", "\n", "<img src=\"resources/tests/PEC00025A_241_P1_Q2.jpg\" alt=\"Question 2\" width=\"640px\"/> \n", "\n", "\n", "### Cálculo do espectro do deslocamento\n", "\n", "Lembrando que na análise no domínio da frequência o espectro do deslocamento\n", "é calculado com a função de admitância mecânica:\n", "\n", "$$ S_U(f) = \\lvert H(f) \\rvert^2 \\; S_F(f) $$\n", "\n", "onde:\n", "\n", "$$ \\lvert H(f) \\rvert^2 = \\frac{1}{k^2} \\; \\left[ \\frac{1}{(1 - \\beta^2)^2 + (2\\zeta\\beta)^2} \\right]$$\n", "\n", "com $\\beta = f \\, / \\, f_{\\rm n}$.\n", "\n", "Como o espectro da força é do tipo banda limitada em 1Hz, o espectro do deslocamento não terá\n", "energia a partir deste limite. \n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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jOnLkCPr164fu3bsDACZMmIDdu3fjqaeeMnJk1NE1TNVwuWvEuau1OUwkQJ1KQFFFDZxsLJr6OBEREbUw0SPOCxYsQFJSEnr37g0HBwfY2tpqvPQtJSUFkyZNgqurKyQSCXbs2NGoz9q1a+Hl5QULCwvI5XLs27dP/d7169fVRTMAuLm54dq1a3qPk0ishqkYd66oAQCmUhP1knTXuSQdERFRqyF6xPmbb77B9u3bMXHiREPE00hlZSUCAgIwZ84cTJs2rdH78fHxiImJwdq1axEaGooNGzYgIiICGRkZ8PDwgCA0/qfue63+UVNTg5qa/z2xraysDACgUCigUCj08I3av4Y8MV/3du1WFQCgq7WZxvmlUCjQzUaGvNJq5BRVoF83K2OG2arxXNMN8yYec6Yb5k085kw3LZUvidBUZXkPnp6e2L17N3x9fQ0VU7MkEgkSEhIwdepUddvQoUMxePBgrFu3Tt3Wt29fTJ06FStXrsSBAwfwwQcfICEhAQDw8ssvY+jQoZg5c2aTx1i6dCmWLVvWqH3Lli2wtLTU7xeiDkslAK8flkIhSPDWwDp01Rx0xlcXTJBeZIKpnkqEu3KeMxER0b1UVVVh5syZKC0thY2NjcGOI3rEeenSpXjnnXfw1VdfGb2QrK2tRWpqKhYvXqzRPnbsWBw4cAAAMGTIEJw+fRrXrl2DjY0Ndu7cibfffrvZfS5ZsgSxsbHq7bKyMri7uyM8PBwODg6G+SLtjEKhQGJiIsaMGdNoDjzVyyuthuJQCkxNJHh66niYSk008nZamoX0P6+gs4sXJkxo+V9S2wqea7ph3sRjznTDvInHnOmmqKioRY4junBes2YNLl26BGdnZ/To0aPRf9Tjx4/rLbj7KSwshFKphLOzs0a7s7Mz8vPzAQCmpqb46KOPEB4eDpVKhddff/2eBbBMJoNMJkNcXBzi4uKgVCoB1D9mnCewOMxZ83JLSgEA7vaW6GQh03jPzMwM3k6dAQA5t24zh1rguaYb5k085kw3zJt4zJk4LZUr0YXzndMkWou75ywLgqDRNnnyZEyePFnUPqOjoxEdHY2ysjKD3PRIHVtWUSUAoIdD0/9q4+lQP6/5alFVi8VERERE9ya6cH7nnXcMEYdOHB0dIZVK1aPLDQoKChqNQot194gzkT5l3awvnL0crZt8v4djfUGdU1yFOqUKplLRC+AQERGRnrXp/xubm5tDLpcjMTFRoz0xMREhISEPtO/o6GhkZGTg6NGjD7QfoqZcKWoonJsecXbubAGZqQnqVAKulfDR20RERK2BVoWzvb09CgsLtd6ph4cHrl69qnNQd6qoqEB6ejrS09MBAFlZWUhPT0d2djYAIDY2Fp9//jm+/PJLnD17Fq+88gqys7MRFRX1QMeNi4uDn58fgoKCHvQrEDWSVfjXVA3HppeaMzGRwPOvaRxXOF2DiIioVdBqqkZJSQl27dql9VzfoqIivU1xOHbsGMLDw9XbDSteREZGYvPmzZgxYwaKioqwfPly5OXlwd/fHzt37oSnp+cDHZdznMlQlCoB2cX1xXAPh+bXaPZ0sMKFGxW4WlQJoGsLRUdERETN0XqOc2RkpCHjaFZYWFiTDzG50/z58zF//vwWiojowWQXV0GhFCAzNYHrXU8NvJPXX6PRVwo54kxERNQaaFU4q1QqQ8fR6vDmQDKU8/n1T6Ps7dwZUpPmn2LZMFXjcmFFi8RFRERE99ambw40JN4cSIZyNq8cAODbrfM9+/V2rn//Qn65wWMiIiKi+2PhTNTCzv014uzrcu9Hgvb+6yEo10urUVatMHhcREREdG8snJvBVTXIUM7nazfibGtpBhdbCwDAxRscdSYiIjI2Fs7N4FQNMoTKmjpc/WtFjfsVzsD/pmucz+c8ZyIiImNj4UzUgi7cKIcgAF07y+BgLbtv/z7dGgrnMkOHRkRERPch+pHbAKBUKrFjxw6cPXsWEokEffv2xZQpUyCVSvUdH1G7cupaKQDA7z7zmxv0aRhx5lQNIiIioxNdOGdmZmLixInIzc1Fnz59IAgCLly4AHd3d/z666/w9vY2RJwtjsvRkSGk55QAAAa622nVv2HE+Vx+OQRBgETS/PJ1REREZFiip2osXLgQPXv2RE5ODo4fP460tDRkZ2fDy8sLCxcuNESMRsE5zmQIYgvnXs7WMJeaoKRKgZzi24YLjIiIiO5L9IhzcnIyDh06BHt7e3Wbg4MD3n33XYSGhuo1OKL2pLRKgcs3KwEAAVoWzjJTKXxdOuNkbilOXiuBx18PRSEiIqKWJ3rEWSaToby88XzLiooKmJub6yUoovboRG4JgPonAtpbaf93ZYCbLQDgZG6pIcIiIiIiLYkunB955BHMmzcPhw8fhiAIEAQBhw4dQlRUFCZPnmyIGI2C6ziTvqVllwDQfppGgwHd6/uf/KvwJiIiIuMQXTivWbMG3t7eCA4OhoWFBSwsLBAaGgofHx+sXr3aACEaB+c4k74dzioCAAT2sL9PT00D3OtHnE9fK4NKJeg9LiIiItKO6DnOdnZ2+Omnn5CZmYmzZ89CEAT4+fnBx8fHEPERtQs1dUqkXr0FAAjuKa5w9ulqjU5mUlTU1OFiQYV6pQ0iIiJqWaJHnJcvX46qqir4+Phg0qRJmDx5Mnx8fHD79m0sX77cEDEStXknckpRU6eCo7UM3l2tRX3WVGqCQR52AICjV4oNEB0RERFpQ3ThvGzZMlRUNH78b1VVFZYtW6aXoIjam0OX66dpDOtpr9NazEF/Te9g4UxERGQ8ogvn5h7CcOLECY0l6ojof/ZnFgIAhvZ00OnzQ7z+KpyzWDgTEREZi9ZznLt06QKJRAKJRILevXtrFM9KpRIVFRWIiooySJBEbVlZtUI9v3lUr6467WOQhx1MTSS4XlqN3FtVcOvC9ZyJiIhamtaF8+rVqyEIAp577jksW7YMtra26vfMzc3Ro0cPBAcHGyRIY+Ajt0lf9l8sRJ1KQM+uVjo/wMTS3BT9utviRE4JDl0uxnQ5C2ciIqKWpnXhHBkZCQDw8vJCSEgIzMzMDBZUaxAdHY3o6GiUlZVp/JJAJFbS+QIAQFhvpwfaz3AfB5zIKcGfF29iutxNH6ERERGRCKKXoxs1ahRUKhUuXLiAgoICqFQqjfdHjhypt+CI2jqVSsDe8zcBAOG+uk3TaDDcpyviki7hz8xCqFQCTEzE32RIREREuhNdOB86dAgzZ87E1atXIQiaD2OQSCSc2kB0h7ScWygor0Fnman6Bj9dDfa0g6W5FIUVtTiXXw4/Vxs9RUlERETaEL2qRlRUFAIDA3H69GkUFxfj1q1b6ldxMe/4J7rTzlP5AICH+zpBZip9oH3JTKUY+lfxnXLx5gPHRkREROKIHnG+ePEifvjhBz4pkOg+BEHAb6frC+fx/i562WdYHycknb+JP84WIGqUt172SURERNoRPeI8dOhQZGZmGiIWg3n00UfRpUsXTJ8+3dihUAdyPLsE10puw9JcilG9H2x+c4OH+9bfYHjsajGKK2v1sk8iIiLSjugR5wULFmDRokXIz89H//79G62uMWDAAL0Fpy8LFy7Ec889h6+//trYoVAHkpCWCwAY168bOpk/2DSNBm5dLNHXxQZn88qQdK4A07i6BhERUYsRXThPmzYNAPDcc8+p2yQSifqJgq3x5sDw8HDs3bvX2GFQB1Jbp8J/TuYBAB4d1F2v+x7T1wln88qwJyOfhTMREVELEj1VIysrq9Hr8uXL6j/FSklJwaRJk+Dq6gqJRIIdO3Y06rN27Vp4eXnBwsICcrkc+/btE30copb0x7kbKKlSwKmzDKE+jnrd9zj/bgCApPM3UVat0Ou+iYiIqHmiR5w9PT31GkBlZSUCAgIwZ84c9Wj2neLj4xETE4O1a9ciNDQUGzZsQEREBDIyMuDh4QEAkMvlqKmpafTZPXv2wNXVVa/xEmnjm4NXAQDT5G6Q6nm9ZT8XG/g4WSOzoAK7T+fj8UB3ve6fiIiImia6cAaAf/3rX1i/fj2ysrJw8OBBeHp6YvXq1fDy8sKUKVNE7SsiIgIRERHNvr9q1SrMnTsXzz//PID6R3/v3r0b69atw8qVKwEAqampunyNJtXU1GgU4WVlZQAAhUIBhYKje9poyFNHzdfFggocuFQEEwnwpNxV6zyIydsj/bth9e+ZSEjLxdSAbg8Ub1vW0c81XTFv4jFnumHexGPOdNNS+RJdOK9btw5vv/02YmJisGLFCvWcZjs7O6xevVp04XwvtbW1SE1NxeLFizXax44diwMHDujtOHdauXIlli1b1qg9KSkJlpaWBjlme5WYmGjsEIxi22UTACboZ6dC+oEkpIv8vDZ561wNAKY4eKkIW3fshK25+Djbk456rj0o5k085kw3zJt4zJk4VVVVLXIc0YXzp59+ik2bNmHq1Kl499131e2BgYF49dVX9RpcYWEhlEolnJ2dNdqdnZ2Rn5+v9X7GjRuH48ePo7KyEm5ubkhISEBQUFCTfZcsWYLY2Fhs2rQJmzZtglKpRGZmJsLDw+Hg4PBA36ejUCgUSExMxJgxYxqtutLelVfX4Y3UZABKvDolCCHe2p8zYvP2S+FhpOeUotqpH54K0e8UqraiI59rD4J5E4850w3zJh5zppuioqIWOY7owjkrKwuDBg1q1C6TyVBZWamXoO4mkWjOEW1YwUNbu3fv1rqvTCaDTCbDokWLsGjRIpSVlcHW1hZmZmY8gUXqiDn75eg1VNYq4d3VCiP7OIs6Txtom7dHB7khPacUv57Kx7xRHfuBRB3xXNMH5k085kw3zJt4zJk4LZUr0atqeHl5IT09vVH7rl274Ofnp4+Y1BwdHSGVShuNLhcUFDQahda3uLg4+Pn5NTsyTXS3OqUKX+7PAgA8G9xDp6JZjIkDXCA1keBEbikyC8oNeiwiIiLSoXB+7bXXEB0djfj4eAiCgCNHjmDFihV444038Nprr+k1OHNzc8jl8kbzfBITExESEqLXY90tOjoaGRkZOHr0qEGPQ+1HQto1XC2qgoOVOR4PNPz6yo7WMjzkW/8kwX/9tYoHERERGY7oqRpz5sxBXV0dXn/9dVRVVWHmzJno3r07PvnkEzz55JOiA6ioqNB4hHdWVhbS09Nhb28PDw8PxMbGYtasWQgMDERwcDA2btyI7OxsREVFiT4WkaEolCp8+kf9efziqJ6wNNdpwRrRng32RGLGDWw/fg2vjfeFtaxljktERNQR6fR/2RdeeAEvvPACCgsLoVKp4OTkpHMAx44dQ3h4uHo7NjYWABAZGYnNmzdjxowZKCoqwvLly5GXlwd/f3/s3LlT7+tJ3y0uLg5xcXGt8kmI1PokpF1DdnH9aPMzw1ruRr1Qb0f07GqFyzcrkXA8F7OCe7TYsYmIiDoa0VM17uTo6PhARTMAhIWFQRCERq/Nmzer+8yfPx9XrlxBTU0NUlNTMXLkyAc6pjY4VYO0pVCq8JkRRpsBwMREgll/FerfHLwKQRBa7NhEREQdjejCuaioCNHR0fDz84OjoyPs7e01Xu0Fbw4kbf370FVkF1fB0bplR5sbTJO7wdJciosFFTh4uWWW4yEiIuqIRA+NPfPMM7h06RLmzp0LZ2fdlttqC6KjoxEdHa1ejo6oKUUVNViVeAEAEDumT4uONjewsTDDo4O649vD2fh8XxZCvB1bPAYiIqKOQPT/5f/880/8+eefCAgIMEQ8RG3Kh3suoLy6Dv1cbTAjyN1ocTw/oie2HsnGH+cKcPpaKfy785c9IiIifRM9VcPX1xe3b982RCytCqdq0P2cvlaK745mAwDemdQPUhPj/euLl6MVJgW4AgDikjLv05uIiIh0IbpwXrt2Ld58800kJyejqKgIZWVlGq/2gjcH0r3UKVV4I+EUBAGYFOCKIV7Gn98fHV7/9MBdp/Nx4QYfiEJERKRvogtnOzs7lJaW4qGHHoKTkxO6dOmCLl26wM7ODl26dDFEjEStzsZ9l3EytxQ2FqZ4a2JfY4cDAOjt3Bnj+3UDwFFnIiIiQxA9x/npp5+Gubk5tmzZ0q5vDiRqzoUb5VideBFA/RQNZxsLI0f0Py895IPfzuTjlxPX8bcwb/h2szF2SERERO2G6ML59OnTSEtLQ58+fQwRT6vBB6BQUxRKFV7bdgK1ShUe8nXCY4O7GzskDf7dbRHh3w27Tufj3V3nsHnOEGOHRERE1G6InqoRGBiInJwcQ8TSqnCOMzXlg93nceKvKRorH+vfKv/F5fXxvjA1kWDv+ZvYn1lo7HCIiIjaDdGF84IFC/Dyyy9j8+bNSE1NxcmTJzVeRO3VfzNuYGPKZQDAB48HtKopGnfycrRSP4jlnzvPQqXi0wSJiIj0QfRUjRkzZgAAnnvuOXWbRCKBIAiQSCSc2kDtUu6tKizadgIA8FyoF8b9dRNea7Xw4V7YnpqLM9fLsP14Lh4PNN4a00RERO2F6MI5KyvLEHEQtVoVNXV4/utjKL2tQICbLRZH+Bo7pPuytzLHSw/5YOWuc1i56xzG+DnDztLc2GERERG1aaILZ09PT0PE0erw5kACAKVKQMx3aTiXXw5HaxnWPiOHuanoGU5GMSfUCz+k5uJiQQXe++08Vj7W39ghERERtWmiC+cGGRkZyM7ORm1trUb75MmTHzio1iA6OhrR0dEoKyuDrS0fX9xRvbvrLP57tgDmpibY+Kwc3e06GTskrZmbmuAfU/0xY+MhbD2SjelyN8g9udY6ERGRrkQXzpcvX8ajjz6KU6dOqec2A1CvLsARWmovNiRfwqZ99VOTPpg+AIM92l7RObSnA6bL3fBDai7e+PEUfl4QCpmp1NhhERERtUmi/8355ZdfhpeXF27cuAFLS0ucOXMGKSkpCAwMxN69ew0QIlHLiz+ajZW7zgEA/t94X0wZ2LrWaxZjSYQv7K3Mcf5GOdb8ftHY4RAREbVZogvngwcPYvny5ejatStMTExgYmKC4cOHY+XKlVi4cKEhYiRqUT+lX8OSH08BAF4c1RN/C/M2ckQPxsFahhVT/QEA6/ZeQnpOiXEDIiIiaqNEF85KpRLW1tYAAEdHR1y/fh1A/U2D58+f1290RC1se2ouXolPh0oAnhrijsXjW/8KGtqI6O+CKQNdoRKARd+no1rBKVVERERiiS6c/f391Q86GTp0KN5//33s378fy5cvR8+ePfUeIFFL2XokG6/+cOKvotkDK6a2zicD6mrZ5H5w6izDpZuVWP6fDGOHQ0RE1OaILpzfeustqFQqAMA//vEPXL16FSNGjMDOnTuxZs0avQdoLHFxcfDz80NQUJCxQyEDEwQBqxIvYMmPpyAIwKxhnlgx1R8mJu2naAYAO0tzrHpiICQSYMvhbPzn5HVjh0RERNSmiF5VY9y4ceqfe/bsiYyMDBQXF6NLly7tanSOy9F1DAqlCm/8eArbUnMBAAse8kHsmN7t6ly+0/Bejpgf5o24pEtYsv0UBnS3g4eDpbHDIiIiahNEjziXlpaiuLhYo83e3h63bt1CWVmZ3gIjMrSyagXmfn0M21JzITWRYOVj/bFobJ92WzQ3eGV0bwR6dkF5TR1e/HcqqmrrjB0SERFRmyC6cH7yySfx3XffNWr//vvv8eSTT+olKCJDO59fjimf7UfKhZvoZCbFpmfleGqIh7HDahGmUhN8OnMQHK3NcTavDK9tO6lej52IiIiaJ7pwPnz4MMLDwxu1h4WF4fDhw3oJisiQfj5xHVPj9iOrsBKuthaIf3EYHvJ1NnZYLcrFthPWPyOHmVSCX0/l4bM/Mo0dEhERUasnunCuqalBXV3jf9pVKBS4ffu2XoIiMoRqhRJLfz6DhVvTcFuhxHAfR/xn4QgMcLMzdmhGEdjDHv83pX59548SL2D3mXwjR0RERNS6iS6cg4KCsHHjxkbt69evh1wu10tQ+pSTk4OwsDD4+flhwIAB2LZtm7FDIiM4m1eGKZ/tx+YDVwAA88O88fVzQ2BvZW7cwIzsySEeiAz2BAC8Ep+OM9dLjRwRERFR6yV6VY0VK1Zg9OjROHHiBB5++GEAwO+//46jR49iz549eg/wQZmammL16tUYOHAgCgoKMHjwYEyYMAFWVlbGDo1agEol4PM/L+PD3RdQq1TB0doc708f0OGmZtzLW4/44WJBBQ5cKkLkl0fx499CuNIGERFRE0SPOIeGhuLgwYNwc3PD999/j19++QU+Pj44efIkRowYYYgYH4iLiwsGDhwIAHBycoK9vX2jVUGofTqfX47HNxzEP3eeQ61ShdF9nfFbzEgWzXcxk5pg3TNy+HbrjMKKGsz68jBultcYOywiIqJWR3ThDAADBw7Eli1bcObMGRw7dgxffvklevXqpVMAKSkpmDRpElxdXSGRSLBjx45GfdauXQsvLy9YWFhALpdj3759Oh3r2LFjUKlUcHd31+nz1DZUK5T4YPc5TFyzD6lXb8HKXIp3H+uPTc/K4WgtM3Z4rZJtJzN889wQuHXphKtFVZiz+QjKqxXGDouIiKhVET1VAwCUSiV27NiBs2fPQiKRwM/PD5MnT4ZUKhW9r8rKSgQEBGDOnDmYNm1ao/fj4+MRExODtWvXIjQ0FBs2bEBERAQyMjLg4VG/fJhcLkdNTeMRsj179sDV1RUAUFRUhGeffRaff/75PeOpqanR2FfD2tQKhQIKBQsJbTTkqaXzJQgC/jh/Eyt3XcDV4ioAwGjfrnj7kb5wsbVo8qbW1sRYeWvQpZMUX0UOxoxNR3D6Whle+PooNj4zGJ3Mxf+9binGzllbxbyJx5zphnkTjznTTUvlSyKIXMA1MzMTEydORG5uLvr06QNBEHDhwgW4u7vj119/hbe3t+7BSCRISEjA1KlT1W1Dhw7F4MGDsW7dOnVb3759MXXqVKxcuVKr/dbU1GDMmDF44YUXMGvWrHv2Xbp0KZYtW9aofcuWLbC05LzP1up6FbDjignOl9b/I4qtmYBpXioEOHB9YrGyK4DPzkhRo5Kgt60KL/RRoRXXzkRERKiqqsLMmTNRWloKGxsbgx1HdOE8YcIECIKAb7/9Fvb29gDqR3OfeeYZmJiY4Ndff9U9mLsK59raWlhaWmLbtm149NFH1f1efvllpKenIzk5+b77FAQBM2fORJ8+fbB06dL79m9qxNnd3R15eXlwcHAQ/Z06IoVCgcTERIwZMwZmZmYGPVZeaTXi9l7GttRcqATATCrBcyE98OJIL3S20OkfVIymJfN2P8eu3sLz3xxHZa0SId72WD9zUKsceW5NOWtLmDfxmDPdMG/iMWe6KSoqgouLi8ELZ9GVRXJyMg4dOqQumgHAwcEB7777LkJDQ/UaXGFhIZRKJZydNW/mcnZ2Rn6+dmvO7t+/H/Hx8RgwYIB6/vS//vUv9O/fv8n+MpkMMpkMcXFxiIuLg1KpBACYmZnxBBbJkDkrKKvG2r2XsOVwNmqVKgBAhH83LIno2+ZXhGgN51qwjxM2PzcEs788ggOXijF/6wlsejawVRbPQOvIWVvEvInHnOmGeROPOROnpXIlunCWyWQoLy9v1F5RUQFzc8OsiSuRSDS2BUFo1Nac4cOHQ6VSiT5mdHQ0oqOjUVZWBltbW9GfJ8O4WV6DjSmX8M3Bq6ipq//vOtTLHq+O64OgHvb3+TSJEdTDXl08/5lZiMivjuDzyEDYWPBCTkREHZPoVTUeeeQRzJs3D4cPH4YgCBAEAYcOHUJUVBQmT56s1+AcHR0hlUobjS4XFBQ0GoXWt7i4OPj5+SEoKMigxyHtXLpZgSU/nkLoe39g074s1NSpMNjDDt8+PxTfzRvGotlAgnrY4+vnhqCzzBRHsorx5IZDXKqOiIg6LNGF85o1a+Dt7Y3g4GBYWFjAwsICoaGh8PHxwSeffKLX4MzNzSGXy5GYmKjRnpiYiJCQEL0e627R0dHIyMjA0aNHDXocap4gCDh2pRgvfHMMo1clY+uRbNTWqTDQ3Q5fzQnC9r+FINTHUet/fSDdBPawx3cvDoOjtTky8sowff0B5Py1agkREVFHInqqhp2dHX766SdcvHgR586dgyAI8PPzg4+Pj04BVFRUIDMzU72dlZWF9PR02Nvbw8PDA7GxsZg1axYCAwMRHByMjRs3Ijs7G1FRUTodT1t3z3GmllNZU4efT1zHt4ev4vS1MnX76L7OmDeyJ4J6dGGx3ML6udrih6gQzPryMK4WVeGxdQfwZWQQ+rtxGhMREXUcOi870KtXL50fenKnY8eOITw8XL0dGxsLAIiMjMTmzZsxY8YMFBUVYfny5cjLy4O/vz927twJT0/PBz72vXCOc8s7m1eGLYezkZB2DRU19Wsum5ua4LFB3fH8iJ7wcbI2coQdWw9HK2yPCsGzXx7BufxyPLHhIFY/ORDj+nUzdmhEREQtQqvCuaGY1caqVatEBRAWFob7rYg3f/58zJ8/X9R+qW0oKKvGzyeuIyHtGs5c/9/ospejFWYO8cB0uRu6WBnmplMSz8nGAt9HBSP62+PYd7EQUf9OxZIIX7wwoif/FYCIiNo9rQrntLQ0rXbWnv7HyakahlNZU4fdZ/KRkHYN+zMLofrr9yZTEwnG9nPG00M9EdzTASYm7ed8ak9sLMzw1ewgLPslA/86dBX/3HkOmQUVWD7FHxZmrXO5OiIiIn3QqnBOSkoydBytDqdq6FdplQJ/nL+B3advIPnCTdxW/O8XErlnF0wd1B0T+7vAnqPLbYKp1ATLp/RDz65W+L//ZOD7Y7k4l1+OtU8PhluXtr2ONhERUXMe+NFqZWVl+OOPP+Dr6wtfX199xETtRH5ZNZIuXMOeMzdw6HIR6lT/m5Lj5WiFqQO7Y+ogV3g6WBkxStKVRCLBnFAveHe1xsvfpeFkbikmffonPn1qMIb3cjR2eERERHonunB+4oknMHLkSLz00ku4ffs2AgMDceXKFQiCgO+++w7Tpk0zRJwtjlM1xKupU+LYlVtIOncDu05Ice1gisb7fZw7Y2w/Z4zr1w39XG3a1dSejmxk7674ZcFw/O3fx3HqWime/fIwXh3XB38b5c3/xkRE1K6ILpxTUlLw5ptvAgASEhIgCAJKSkrw9ddf4x//+Ee7KZw5VeP+VCoBFwrKcfBSEVIu3MShy8V3TMGoL5gGe9hhXL9uGNuvG7wcObLcXrl1scS2qGC889MZxB/Lwfu/ncexK7fwwfQBcLCWGTs8IiIivRBdOJeWlsLevv4pbb/99humTZsGS0tLTJw4Ea+99preA6TWQ6FU4fS1UhzJKsbRK8U4euUWSm8rNPp07SzDcG97WFfkInr6w+hmx2K5o7Awk+K96QMwyMMOb/98Bn+cK8D4T/Zh1RMBGNGrq7HDIyIiemCiC2d3d3ccPHgQ9vb2+O233/Ddd98BAG7dugULCwu9B0jGIQgCbpTV4GRuCU5dK0Xq1VtIyy7RuKkPACzNpZB7dsFwH0eM7N0Vvt06o66uDjt35sCBN/p1SE8O8UCAux0Wbk3DxYIKzPriCOaN7IlXx/aBuanoh5USERG1GqIL55iYGDz99NOwtraGh4cHwsLCANRP4ejfv7++4zOajjTHWRAE3KyowZlrZTiZW4pT10pwIrcUN8trGvXtYmmGoB72GOJlj6Ae9ujnagNTKYsh0tTXxQY/vzQcK3Zm4N+HsrEx5TIOXCrE6hkD4ePU2djhERER6UR04Tx//nwMGTIEOTk5GDNmDExM6oumnj174h//+IfeAzSW9jrHubxagQs3ynE+vwIXbpTjXH4ZLtyoQHFlbaO+UhMJejlZY4CbLQLc7TCkhz28u1pzfWXSSidzKf4xtT9G9uqK17efxOlrZZiw5k8sGtMbz4/oCSnPIyIiamN0Wo4uMDAQAwYMQFZWFry9vWFqaoqJEyfqOzbSUbVCiZziKmQVVuJqURWyiipxtagSWTcrcb20usnPSCRAT0crBLjZob+bLQa42cLPxRadzPlAC3owY/t1wwA3O/y/7SeRfOEmVu46h12n8/Hh4wF8jDoREbUpogvnqqoqLFiwAF9//TUA4MKFC+jZsycWLlwIV1dXLF68WO9BkqbKmjrkld5GXmk18kqqcb30NvJKqpFbUoUrhVW4Xnob93qKeTcbC/Tu1hm+3Tqjt3P9nz5O1nzqGxlMN1sLbJ4ThG2pufi/XzKQnlOCCWv2IXZMbzw/3IvTfYiIqE0QXTgvWbIEJ06cwN69ezF+/Hh1++jRo/HOO++0m8K5pec419apUFxZi8KKGhRV1qKoogZFFbUorPzrz4oa5JdW43rJbZRV1913f9YyU/RwtEQPB6v6l6MVejhYopdTZ9hamrXANyLSJJFI8ESgO0b0csSSH09h7/mbeHfXOfycfh0rHvXHII8uxg6RiIjonkQXzjt27EB8fDyGDRum8XADPz8/XLp0Sa/BGdPdc5xvlFejWnobKpUApUqAUhDqfxYE1CkF1NQpUa1Q4XatEtV//VytUKJaoURNnQrl1XUor1agrOHP24q/2upQVq1AVa24Ar2zzBQudhZwse0EV/WfneDlaAlPBys4WJnz4RPUKrnYdsJXs4PwQ2ouVuw8i4y8Mjy27gBmDvHA6+N8+YsdERG1WqIL55s3b8LJyalRe2VlZbsu1MZ/cgAmMkuDHkNqIoGDlTkcrGVwtDZX/+zw18/ONhZwtesEF1sLdLZgcUFtl0QiweOB7njI1wkrd53DD6m5+PZwNnafycebE/ti6sDu7fp6QkREbZPowjkoKAi//vorFixYAADq/7lt2rQJwcHB+o2uFZGaSGAmNYGJCSCVSGBiIoHURALTv/60MJPCwlQKCzMTyMykf22b1P9pZgJrmRk6W5jCptNff1qYwcbCFJ0tzGDTqX7btpMZV6ygDsXBWoYPHw/A43I3vLXjNC4WVOCV+BP4/mgulk7uhz7duHQdERG1HqIL55UrV2L8+PHIyMhAXV0dPvnkE5w5cwYHDx5EcnKyIWJsFY69EQ4HBwdjh0HULg3t6YBfF47A539exprfL+Lg5SJEfJKCp4Z4IHZMbz62m4iIWgXRt7KHhIRg//79qKqqgre3N/bs2QNnZ2ccPHgQcrncEDESUQdgbmqC+WE+SHxlFCb07waVAHx7OBthH+zFhuRLqKlr/w8jIiKi1k2ndZz79++vXo6OiEif3O0tsfZpOQ5fLsL//ZqB09fKsHLXOXx7OBtvTPDFuH7dOP+ZiIiMQqvCuaysTOsd2tjY6BxMa9KRHrlN1BoN7emAn6OHY/vxXHyw+zyyi6sQ9e/jGOxhh9fH+2JYT06dIiKilqVV4WxnZ6f1CE97KTTb6yO3idoSE5P61Tcm9HfB+uRL2LTvMo5nl+DJjYcwqndXvPKwt7FDJCKiDkSrwjkpKUn985UrV7B48WLMnj1bvYrGwYMH8fXXX2PlypWGiZKIOjQrmSkWje2DZ4Z5Ys3vFxF/NAfJF24i+cJNDHIwgd/QSvTqZmfsMImIqJ3TqnAeNWqU+ufly5dj1apVeOqpp9RtkydPRv/+/bFx40ZERkbqP0oiIgDONhZY8Wh/vDCiJz7+7wX8fOI60opMMH7NATw6qDuiw33g5Whl7DCJiKidEr2qxsGDBxEYGNioPTAwEEeOHNFLUERE99LD0QqfPDkIP/0tGH52KihVAn5IzcXDH+3FK/HpyCyoMHaIRETUDokunN3d3bF+/fpG7Rs2bIC7u7tegiIi0kZfl854sa8K2+YNwUO+TlAJQELaNYz5OBkLtqbhwo1yY4dIRETtiOjl6D7++GNMmzYNu3fvxrBhwwAAhw4dwqVLl7B9+3a9B/igysvL8dBDD0GhUECpVGLhwoV44YUXjB0WEenRQHc7fDk7CKdyS7Hmj4tIzLiBX05cxy8nriPCvxuiw33g3503+RIR0YMRXThPmDABFy9exLp163D27FkIgoApU6YgKiqqVY44W1paIjk5GZaWlqiqqoK/vz8ee+wxPgWQqB3q72aLTc8G4sz1Unz2RyZ2nc5Xv4b7OGLeyJ4Y0cuR60ATEZFOdHoAipubG1asWKHvWAxCKpXC0tISAFBdXQ2lUglBEIwcFREZUj9XW6x7Ro7z+eWIS8rEr6fy8GdmIf7MLIRvt86YN7InJgW4wkwqerYaERF1YEb/v0ZKSgomTZoEV1dXSCQS7Nixo1GftWvXwsvLCxYWFpDL5di3b5+oY5SUlCAgIABubm54/fXX4ejoqKfoiag169OtM9Y8NQh7Xw3DnNAesDSX4lx+OWK/P4GR7ydhU8pllFcrjB0mERG1EUYvnCsrKxEQEIDPPvusyffj4+MRExODN998E2lpaRgxYgQiIiKQnZ2t7iOXy+Hv79/odf36dQD1D3A5ceIEsrKysGXLFty4caNFvhsRtQ7u9pZ4Z1I/HFj8EF4b1weO1jLklVZjxc6zCF75B5b+fAaXb3IlDiIiujedpmroU0REBCIiIpp9f9WqVZg7dy6ef/55AMDq1auxe/durFu3Tv3AldTUVK2O5ezsjAEDBiAlJQWPP/54k31qampQU1Oj3m543LhCoYBCwZEpbTTkifkSh3kTT2zOrMwkmDfcE5FD3fDTiTx8sf8qLhdWYvOBK9h84ApG+Dhg1jAPjOrlCBOT9jsPmueaeMyZbpg38Zgz3bRUviRCK5rwK5FIkJCQgKlTpwIAamtrYWlpiW3btuHRRx9V93v55ZeRnp6O5OTk++7zxo0b6NSpE2xsbFBWVobg4GBs3boVAwYMaLL/0qVLsWzZskbtW7ZsUc+VJqL2QSUA50sl2JcvQcYtCQTUF8uOMgHDu6kw1EmApdGHF4iI6H6qqqowc+ZMlJaWwsbGxmDH0fl/CTdv3sT58+chkUjQu3dvdO3aVZ9xAQAKCwuhVCrh7Oys0e7s7Iz8/Hyt9pGbm4u5c+dCEAQIgoCXXnqp2aIZAJYsWYLY2Fhs2rQJmzZtglKpRGZmJsLDw7kSh5YUCgUSExMxZswYmJmZGTucNoN5E08fOXsEwCIAV4ursOVwDrYdv4bC6jrsuCrFnjwppgS44Kkgd/R16azX2I2J55p4zJlumDfxmDPdFBUVtchxRBfOlZWVWLBgAf71r39BqVQCqF+54tlnn8Wnn35qkFHZu5eOEgRB6+Wk5HI50tPTtT6WTCaDTCbDokWLsGjRIpSVlcHW1hZmZmY8gUViznTDvImnj5z5ONvi7cm2eHW8LxLSruHrA1dw4UYFth7NxdajuQhwt8PMIe54ZIArrGTtYxia55p4zJlumDfxmDNxWipXom8OjI2NRXJyMn7++WeUlJSgpKQEP/30E5KTk7Fo0SK9Bufo6AipVNpodLmgoKDRKLS+xcXFwc/PD0FBQQY9DhG1Lpbmpnh6qCd2x4zE1heGYUL/bjCTSnAipwT/b/spDFnxXyz58RRO5ZYaO1QiImphoodNtm/fjh9++AFhYWHqtgkTJqBTp0544oknsG7dOr0FZ25uDrlcjsTERI05zomJiZgyZYrejtOU6OhoREdHq0eciahjkUgkCPZ2QLC3AworarA9NRffHc1BVmElth7JxtYj2ejnaoMnh3hgykBX2FhwZIiIqL0TXThXVVU1Odrr5OSEqqoq0QFUVFQgMzNTvZ2VlYX09HTY29vDw8MDsbGxmDVrFgIDAxEcHIyNGzciOzsbUVFRoo9FRKQLR2sZXhzljXkje+LQ5WJ8dzQbu07l48z1Mvx9x2n84z8ZGNevG6bJ3TDcxxHSdrwiBxFRRya6cA4ODsY777yDb775BhYWFgCA27dvY9myZQgODhYdwLFjxxAeHq7ejo2NBQBERkZi8+bNmDFjBoqKirB8+XLk5eXB398fO3fuhKenp+hjiREXF4e4uDj1PG4iojtHoZdOqsWPadew9Ug2Mgsq8POJ6/j5xHU4dZbh0UHdMU3uht7O7eeGQiIi0qFw/uSTTzB+/Hi4ubkhICAAEokE6enpsLCwwO7du0UHEBYWdt9HYM+fPx/z588Xve8HwakaRHQvXazMMXe4F54L7YGTuaXYfjwXP5+4joLyGmxIuYwNKZfh390G0wa7YXKAKxysZcYOmYiIHpDowtnf3x8XL17Ev//9b5w7dw6CIODJJ5/E008/jU6dOhkiRqPgiDMRaUMikSDA3Q4B7nZ4a6If/jhXgB+P5+KPcwU4fa0Mp69lYMWvZxHWxwmPDuqOh3yd0MlcauywiYhIBzqtqdSpUye88MIL+o6lVeGIMxGJZW5qgvH+3TDevxuKK2vxy4nr2H48FydzS/Hfszfw37M3YGkuxRg/Z0wOcMWIXl1hbip6cSMiIjISrQrnn3/+WesdTp48WedgiIjaC3src0SG9EBkSA9cvFGOH9Ou4ZcT15F76zZ+Sr+On9Kvw7aTGcb364bJA10xrKcDbyokImrltCqcGx6B3UAikTSal9zwQJL2MrWBUzWISF96OXfG/xvvi9fH9UFaTgl+OXEdv57MQ0F5DeKP5SD+WA4crWWY2L++iB7k3gUmLKKJiFodrf6NUKVSqV979uzBwIEDsWvXLpSUlKC0tBS7du3C4MGD8dtvvxk63hYTHR2NjIwMHD161NihEFE7IZFIMNijC96Z1A8HlzyMLS8MxVNDPGBnaYbCihp8ffAqpq07iOB3f8fbP53GgUuFqFOqjB02ERH9RfQc55iYGKxfvx7Dhw9Xt40bNw6WlpaYN28ezp49q9cAiYjaI6mJBCHejgjxdsSyyf2wP7MQv5y4jj0ZN3CjrAbfHLyKbw5ehb2VOcb0dcb4/t0Q4u0AmSlvLCQiMhbRhfOlS5eavFnO1tYWV65c0UdMREQdirmpCcJ9nRDu64SaOiX2Zxbit9P5SMy4geLKWvV0js4yUzzc1wnj/bthVG+uzkFE1NJEF85BQUGIiYnBv//9b7i4uAAA8vPzsWjRIgwZMkTvARoL5zgTkTHITKV4yNcZD/k6o06pwuGsYvx2Oh+7z+SjoLwGO9KvY0f6dXQyk2JU764Y4+eMcF8n2FuZGzt0IqJ2T3Th/OWXX+LRRx+Fp6cnPDw8AADZ2dno3bs3duzYoe/4jIbL0RGRsZlKTRDq44hQn/rpHGk5t7DrVD52nc7HtZLb+O1MPn47kw8TCTDYowse7uuM0X2d4ONkrb5hm4iI9Ed04ezj44OTJ08iMTFR/QAUPz8/jB49mhdqIiIDMTGRQO5pD7mnPd6c2Benr5UhMSMf/z1bgIy8Mhy7egvHrt7Ce7+dg6eDJR72rS+ig7zsYSblWtFERPqg0wNQJBIJxo4di7Fjx+o7HiIiug+JRIL+brbo72aL2LF9cL3kNn4/V4D/ZtzAwUtFuFpUhS/3Z+HL/VnobGGKsD5OGN3XCWG9nWBraWbs8ImI2iydCmciImo9XO06YdYwT8wa5onKmjrsu1iI38/ewB/nClD01xMMfzlxHVITCeQeXTCylwNsa40dNRFR28PCuRm8OZCI2iIrman6sd9KlYD0nBL8fvYGfj9bgPM3ynHkSjGOXCmGd2cpnjR2sEREbQwL52bw5kAiauukJhLIPbtA7tkFr4/3RU5xFb49nI31yZdQUWfs6IiI2h7eMUJE1EG421sivE9XY4dBRNRm6TTirFQqsWPHDpw9exYSiQR9+/bFlClTIJVyMX4iIiIiap9EF86ZmZmYOHEicnNz0adPHwiCgAsXLsDd3R2//vorvL29DREnEREREZFRiZ6qsXDhQvTs2RM5OTk4fvw40tLSkJ2dDS8vLyxcuNAQMRIRERERGZ3oEefk5GQcOnQI9vb26jYHBwe8++67CA0N1WtwRERERESthegRZ5lMhvLy8kbtFRUVMDc310tQrUFcXBz8/PwQFBRk7FCIiIiIqBUQXTg/8sgjmDdvHg4fPgxBECAIAg4dOoSoqChMnjzZEDEaRXR0NDIyMnD06FFjh0JERERErYDownnNmjXw9vZGcHAwLCwsYGFhgdDQUPj4+OCTTz4xRIxEREREREYnao6zIAgoLS3F1q1bcf36dZw9exaCIMDPzw8+Pj6GipGIiIiIyOhEF869evXCmTNn0KtXLxbLRERERNRhiJqqYWJigl69eqGoqMhQ8RARERERtUqi5zi///77eO2113D69GlDxGMwVVVV8PT0xKuvvmrsUIiIiIioDRK9jvMzzzyDqqoqBAQEwNzcHJ06ddJ4v7i4WG/B6dOKFSswdOhQY4dBRERERG2U6ML5448/hkQiMUQsBnPx4kWcO3cOkyZNanMj5URERETUOogunGfPnq3XAFJSUvDBBx8gNTUVeXl5SEhIwNSpUzX6rF27Fh988AHy8vLQr18/rF69GiNGjND6GK+++io++OADHDhwQK+xExEREVHHIbpwlkqlyMvLg5OTk0Z7UVERnJycoFQqRe2vsrISAQEBmDNnDqZNm9bo/fj4eMTExGDt2rUIDQ3Fhg0bEBERgYyMDHh4eAAA5HI5ampqGn12z549OHr0KHr37o3evXtrVTjX1NRo7KusrAwAoFAooFAoRH23jqohT8yXOMybeMyZeHXKOvXPzJv2eK7phnkTjznTTUvlSyIIgiDmAyYmJsjPz29UOF+/fh3e3t64ffu27sFIJI1GnIcOHYrBgwdj3bp16ra+ffti6tSpWLly5X33uWTJEvz73/+GVCpFRUUFFAoFFi1ahLfffrvJ/kuXLsWyZcsatW/ZsgWWlpbivxQRUSuSWQZ8esYUzp0EvDFQ3EAHEVFrVVVVhZkzZ6K0tBQ2NjYGO47WI85r1qwBUF/cfv7557C2tla/p1QqkZKSAl9fX70GV1tbi9TUVCxevFijfezYsVpPu1i5cqW6wN68eTNOnz7dbNEM1BfasbGx6u2ysjK4u7sjPDwcDg4OOnyLjkehUCAxMRFjxoyBmZmZscNpM5g38Zgz8Y5cKcanZ44BAPMmAs813TBv4jFnummppZK1Lpw//vhjAPUPQVm/fj2kUqn6PXNzc/To0QPr16/Xa3CFhYVQKpVwdnbWaHd2dkZ+fr5ej9VAJpNBJpMhLi4OcXFx6qknZmZmPIFFYs50w7yJx5xpz1T6v8s+8yYec6Yb5k085kyclsqV1oVzVlYWACA8PBw//vgjunTpYrCg7nb3Kh6CIOi0soeYGxujo6MRHR2NsrIy2Nraij4WEREREbUvom8OTEpKMkQcTXJ0dIRUKm00ulxQUNBoFFrf7h5xJiIiIqKOTfSTA6dPn4533323UfsHH3yAxx9/XC9BNTA3N4dcLkdiYqJGe2JiIkJCQvR6rLtFR0cjIyMDR48eNehxiIiIiKhtEF04JycnY+LEiY3ax48fj5SUFNEBVFRUID09Henp6QDqp4Skp6cjOzsbABAbG4vPP/8cX375Jc6ePYtXXnkF2dnZiIqKEn0sMeLi4uDn54egoCCDHoeIiIiI2gbRUzUqKipgbm7eqN3MzEy95rEYx44dQ3h4uHq7YUWLyMhIbN68GTNmzEBRURGWL1+OvLw8+Pv7Y+fOnfD09BR9LDE4x5mIiIiI7iS6cPb390d8fHyjJd2+++47+Pn5iQ4gLCwM91tKev78+Zg/f77ofRMRERER6Yvowvnvf/87pk2bhkuXLuGhhx4CAPz+++/YunUrtm3bpvcAjYU3BxIRERHRnUTPcZ48eTJ27NiBzMxMzJ8/H4sWLUJubi7++9//ajzxr63jzYFEREREdCfRI84AMHHixCZvECQiIiIiaq9EjzgDQElJCT7//HO88cYbKC4uBgAcP34c165d02twxsRVNYiIiIjoTqJHnE+ePInRo0fD1tYWV65cwfPPPw97e3skJCTg6tWr+OabbwwRZ4vjqhpEREREdCfRI86xsbGYPXs2Ll68CAsLC3V7RESETus4ExERERG1BaIL56NHj+LFF19s1N69e/dGj8YmIiIiImovRBfOFhYWTT7o5Pz58+jatategmoNOMeZiIiIiO4kunCeMmUKli9fDoVCAQCQSCTIzs7G4sWLMW3aNL0HaCxcjo6IiIiI7iS6cP7www9x8+ZNODk54fbt2xg1ahR8fHzQuXNnrFixwhAxEhEREREZnehVNWxsbPDnn3/ijz/+wPHjx6FSqTB48GCMHj3aEPEREREREbUKOj0ABQAeeugh9SO32yM+cpuIiIiI7qTTA1B+//13PPLII/D29oaPjw8eeeQR/Pe//9V3bEbFOc5EREREdCfRhfNnn32G8ePHo3Pnznj55ZexcOFC2NjYYMKECfjss88MESMRERERkdGJnqqxcuVKfPzxx3jppZfUbQsXLkRoaChWrFih0U5ERERE1F6IHnEuKyvD+PHjG7WPHTu2yfWdiYiIiIjaA9GF8+TJk5GQkNCo/aeffsKkSZP0EhQRERERUWsjeqpG3759sWLFCuzduxfBwcEAgEOHDmH//v1YtGgR1qxZo+67cOFC/UVKRERERGREogvnL774Al26dEFGRgYyMjLU7XZ2dvjiiy/U2xKJpE0XzlyOjoiIiIjuJLpwzsrKMkQcrU50dDSio6NRVlYGW1tbY4dDREREREam0zrOd1IqlUhPT8etW7f0EQ8RERERUaskunCOiYlRT8lQKpUYOXIkBg8eDHd3d+zdu1ff8RERERERtQqiC+cffvgBAQEBAIBffvkFV65cwblz5xATE4M333xT7wESEREREbUGogvnwsJCdOvWDQCwc+dOPP744+jduzfmzp2LU6dO6T1AIiIiIqLWQHTh7OzsjIyMDCiVSvz2228YPXo0AKCqqgpSqVTvAeqDqakpBg4ciIEDB+L55583djhERERE1AaJXlVjzpw5eOKJJ+Di4gKJRIIxY8YAAA4fPgxfX1+9B6gPdnZ2SE9PN3YYRERERNSGiS6cly5dCn9/f+Tk5ODxxx+HTCYDAEilUixevFjvARIRERERtQY6LUc3ffp0vPLKK3Bzc1O3RUZGYsqUKaL3lZKSgkmTJsHV1RUSiQQ7duxo1Gft2rXw8vKChYUF5HI59u3bJ+oYZWVlkMvlGD58OJKTk0XHSERERESkdeE8YcIElJaWqrdXrFiBkpIS9XZRURH8/PxEB1BZWYmAgAB89tlnTb4fHx+vXrEjLS0NI0aMQEREBLKzs9V95HI5/P39G72uX78OALhy5QpSU1Oxfv16PPvssygrKxMdJxERERF1bFpP1di9ezdqamrU2++99x6eeuop2NnZAQDq6upw/vx50QFEREQgIiKi2fdXrVqFuXPnqm/qW716NXbv3o1169Zh5cqVAIDU1NR7HsPV1RUA4O/vDz8/P1y4cAGBgYFN9q2pqdH4ng1FtkKhgEKh0P6LdWANeWK+xGHexGPOxKtT1ql/Zt60x3NNN8ybeMyZbloqX1oXzoIg3HPbEGpra5Gamtpo7vTYsWNx4MABrfZx69YtWFpaQiaTITc3FxkZGejZs2ez/VeuXIlly5Y1ak9KSoKlpaW4L9DBJSYmGjuENol5E485015mGdBw6WfexGPOdMO8iceciVNVVdUixxF9c2BLKiwshFKphLOzs0a7s7Mz8vPztdrH2bNn8eKLL8LExAQSiQSffPIJ7O3tm+2/ZMkSxMbGYtOmTdi0aROUSiUyMzMRHh4OBweHB/o+HYVCoUBiYiLGjBkDMzMzY4fTZjBv4jFn4h25UoxPzxwDAOZNBJ5rumHexGPOdFNUVNQix9G6cJZIJJBIJI3aWsLdxxEEQetjh4SEiHowi0wmg0wmw6JFi7Bo0SKUlZXB1tYWZmZmPIFFYs50w7yJx5xpz1T6v8s+8yYec6Yb5k085kyclsqVqKkas2fPVi8/V11djaioKFhZWQGAxrxgfXF0dIRUKm00ulxQUNBoFFrf4uLiEBcXB6VSadDjEBEREVHboPWqGpGRkXBycoKtrS1sbW3xzDPPwNXVVb3t5OSEZ599Vq/BmZubQy6XN5rnk5iYiJCQEL0e627R0dHIyMjA0aNHDXocIiIiImobtB5x/uqrrwwSQEVFBTIzM9XbWVlZSE9Ph729PTw8PBAbG4tZs2YhMDAQwcHB2LhxI7KzsxEVFWWQeIiIiIiImmL0mwOPHTuG8PBw9XZsbCyA+hHuzZs3Y8aMGSgqKsLy5cuRl5cHf39/7Ny5E56engaNi1M1iIiIiOhORi+cw8LC7ru03fz58zF//vwWiqhedHQ0oqOj1TcHEhEREVHHptMjtzuCuLg4+Pn5ISgoyNihEBEREVErwMK5Gbw5kIiIiIjuxMKZiIiIiEgLLJybwakaRERERHQnFs7N4FQNIiIiIroTC2ciIiIiIi2wcCYiIiIi0gIL52ZwjjMRERER3YmFczM4x5mIiIiI7sTCmYiIiIhICyyciYiIiIi0wMKZiIiIiEgLLJybwZsDiYiIiOhOLJybwZsDiYiIiOhOLJyJiIiIiLTAwpmIiIiISAssnImIiIiItMDCmYiIiIhICyyciYiIiIi0wMK5GVyOjoiIiIjuxMK5GVyOjoiIiIjuxMKZiIiIiEgLLJyJiIiIiLTAwpmIiIiISAssnImIiIiItNAhCuesrCyEh4fDz88P/fv3R2VlpbFDIiIiIqI2xtTYAbSE2bNn4x//+AdGjBiB4uJiyGQyY4dERERERG1Muy+cz5w5AzMzM4wYMQIAYG9vb+SIiIiIiKgtMvpUjZSUFEyaNAmurq6QSCTYsWNHoz5r166Fl5cXLCwsIJfLsW/fPq33f/HiRVhbW2Py5MkYPHgw/vnPf+oxeiIiIiLqKIw+4lxZWYmAgADMmTMH06ZNa/R+fHw8YmJisHbtWoSGhmLDhg2IiIhARkYGPDw8AAByuRw1NTWNPrtnzx4oFArs27cP6enpcHJywvjx4xEUFIQxY8Y0GU9NTY3GvkpLSwEAxcXF+vi6HYJCoUBVVRWKiopgZmZm7HDaDOZNPOZMvNLSW1DVVKFOIjBvIvBc0w3zJh5zppuGOk0QBMMeSGhFAAgJCQkabUOGDBGioqI02nx9fYXFixdrtc8DBw4I48aNU2+///77wvvvv99s/3feeUcAwBdffPHFF1988cVXG3tdunRJ+8JTB0Yfcb6X2tpapKamYvHixRrtY8eOxYEDB7TaR1BQEG7cuIFbt27B1tYWKSkpePHFF5vtv2TJEsTGxqq3S0pK4OnpiezsbNja2ur2RTqYsrIyuLu7IycnBzY2NsYOp81g3sRjznTDvInHnOmGeROPOdNNaWkpPDw8DH4vW6sunAsLC6FUKuHs7KzR7uzsjPz8fK32YWpqin/+858YOXIkBEHA2LFj8cgjjzTbXyaTNbnqhq2tLU9gkWxsbJgzHTBv4jFnumHexGPOdMO8icec6cbExLC377XqwrmBRCLR2BYEoVHbvURERCAiIkLfYRERERFRB2L0VTXuxdHREVKptNHockFBQaNRaCIiIiIiQ2rVhbO5uTnkcjkSExM12hMTExESEtIiMchkMrzzzjt8aIoIzJlumDfxmDPdMG/iMWe6Yd7EY85001J5kwiCodftuLeKigpkZmYCAAYNGoRVq1YhPDwc9vb28PDwQHx8PGbNmoX169cjODgYGzduxKZNm3DmzBl4enoaM3QiIiIi6kCMXjjv3bsX4eHhjdojIyOxefNmAPUPQHn//feRl5cHf39/fPzxxxg5cmQLR0pEREREHZnRC2ciIiIioragVc9xJiIiIiJqLVg4ExERERFpgYUzEREREZEWOlzhvHbtWnh5ecHCwgJyuRz79u27Z//k5GTI5XJYWFigZ8+eWL9+faM+27dvh5+fH2QyGfz8/JCQkGCo8I1GTN5+/PFHjBkzBl27doWNjQ2Cg4Oxe/dujT6bN2+GRCJp9Kqurjb0V2kxYnK2d+/eJvNx7tw5jX481zTNnj27ybz169dP3ae9n2spKSmYNGkSXF1dIZFIsGPHjvt+pqNf18TmjNe0emLzxuua+JzxmgasXLkSQUFB6Ny5M5ycnDB16lScP3/+vp9rqetahyqc4+PjERMTgzfffBNpaWkYMWIEIiIikJ2d3WT/rKwsTJgwASNGjEBaWhreeOMNLFy4ENu3b1f3OXjwIGbMmIFZs2bhxIkTmDVrFp544gkcPny4pb6WwYnNW0pKCsaMGYOdO3ciNTUV4eHhmDRpEtLS0jT62djYIC8vT+NlYWHREl/J4MTmrMH58+c18tGrVy/1ezzXGvvkk0808pWTkwN7e3s8/vjjGv3a87lWWVmJgIAAfPbZZ1r153VNfM54TasnNm8NOvJ1TWzOeE2rL4Cjo6Nx6NAhJCYmoq6uDmPHjkVlZWWzn2nR65rQgQwZMkSIiorSaPP19RUWL17cZP/XX39d8PX11Wh78cUXhWHDhqm3n3jiCWH8+PEafcaNGyc8+eSTeora+MTmrSl+fn7CsmXL1NtfffWVYGtrq68QWx2xOUtKShIACLdu3Wp2nzzX7i8hIUGQSCTClStX1G3t/Vy7EwAhISHhnn14XdOkTc6a0tGuaXfTJm+8rmnS5Vzr6Nc0QRCEgoICAYCQnJzcbJ+WvK51mBHn2tpapKamYuzYsRrtY8eOxYEDB5r8zMGDBxv1HzduHI4dOwaFQnHPPs3ts63RJW93U6lUKC8vh729vUZ7RUUFPD094ebmhkceeaTR6E1b9SA5GzRoEFxcXPDwww8jKSlJ4z2ea/f3xRdfYPTo0Y0ejtRezzVd8Lr24DraNe1BdeTr2oPiNQ0oLS0FgEZ/3+7Ukte1DlM4FxYWQqlUwtnZWaPd2dkZ+fn5TX4mPz+/yf51dXUoLCy8Z5/m9tnW6JK3u3300UeorKzEE088oW7z9fXF5s2b8fPPP2Pr1q2wsLBAaGgoLl68qNf4jUGXnLm4uGDjxo3Yvn07fvzxR/Tp0wcPP/wwUlJS1H14rt1bXl4edu3aheeff16jvT2fa7rgde3BdbRrmq54XXswvKYBgiAgNjYWw4cPh7+/f7P9WvK6ZiqqdzsgkUg0tgVBaNR2v/53t4vdZ1uk63fcunUrli5dip9++glOTk7q9mHDhmHYsGHq7dDQUAwePBiffvop1qxZo7/AjUhMzvr06YM+ffqot4ODg5GTk4MPP/xQ4ymZPNeat3nzZtjZ2WHq1Kka7R3hXBOL1zXddeRrmli8rj0YXtOAl156CSdPnsSff/55374tdV3rMCPOjo6OkEqljX6zKCgoaPQbSINu3bo12d/U1BQODg737NPcPtsaXfLWID4+HnPnzsX333+P0aNH37OviYkJgoKC2sVvzA+SszsNGzZMIx8815onCAK+/PJLzJo1C+bm5vfs257ONV3wuqa7jnpN06eOdl3TFa9pwIIFC/Dzzz8jKSkJbm5u9+zbkte1DlM4m5ubQy6XIzExUaM9MTERISEhTX4mODi4Uf89e/YgMDAQZmZm9+zT3D7bGl3yBtSPysyePRtbtmzBxIkT73scQRCQnp4OFxeXB47Z2HTN2d3S0tI08sFzrXnJycnIzMzE3Llz73uc9nSu6YLXNd105GuaPnW065quOvI1TRAEvPTSS/jxxx/xxx9/wMvL676fadHrmqhbCdu47777TjAzMxO++OILISMjQ4iJiRGsrKzUd6suXrxYmDVrlrr/5cuXBUtLS+GVV14RMjIyhC+++EIwMzMTfvjhB3Wf/fv3C1KpVHj33XeFs2fPCu+++65gamoqHDp0qMW/n6GIzduWLVsEU1NTIS4uTsjLy1O/SkpK1H2WLl0q/Pbbb8KlS5eEtLQ0Yc6cOYKpqalw+PDhFv9+hiA2Zx9//LGQkJAgXLhwQTh9+rSwePFiAYCwfft2dR+ea43z1uCZZ54Rhg4d2uQ+2/u5Vl5eLqSlpQlpaWkCAGHVqlVCWlqacPXqVUEQeF1ritic8ZpWT2zeeF0Tn7MGHfma9re//U2wtbUV9u7dq/H3raqqSt3HmNe1DlU4C4IgxMXFCZ6enoK5ubkwePBgjeVNIiMjhVGjRmn037t3rzBo0CDB3Nxc6NGjh7Bu3bpG+9y2bZvQp08fwczMTPD19dW4KLQXYvI2atQoAUCjV2RkpLpPTEyM4OHhIZibmwtdu3YVxo4dKxw4cKAFv5HhicnZe++9J3h7ewsWFhZCly5dhOHDhwu//vpro33yXGv8d7SkpETo1KmTsHHjxib3197PtYYlv5r7+8brWmNic8ZrWj2xeeN1Tbe/nx39mtZUvgAIX331lbqPMa9rkr+CJCIiIiKie+gwc5yJiIiIiB4EC2ciIiIiIi2wcCYiIiIi0gILZyIiIiIiLbBwJiIiIiLSAgtnIiIiIiItsHAmIiIiItICC2ciojZu27Zt2LZtm7HDICJq91g4ExG1Yenp6Vi6dCmWLl2KkydP6nXfe/fuhUQiQUlJyQPva9asWfjnP//54EHdoaCgAF27dsW1a9f0ul8iouawcCYiuofZs2dDIpE0emVmZho7NCgUCkRFRWHLli349ttvERUVhbq6Or3tPyQkBHl5ebC1tX2g/Zw8eRK//vorFixYoG4LCwtDTExMo76bN2+GnZ2dVvt1cnLCrFmz8M477zxQfERE2jI1dgBERK3d+PHj8dVXX2m0de3atVG/2tpamJubt1RYMDMzw6FDh9TbBw4c0Ov+zc3N0a1btwfez2effYbHH38cnTt31kNUmubMmYMhQ4bggw8+QJcuXfS+fyKiO3HEmYjoPmQyGbp166bxkkqlCAsLw0svvYTY2Fg4OjpizJgxAICMjAxMmDAB1tbWcHZ2xqxZs1BYWKjeX2VlJZ599llYW1vDxcUFH330UaMRWIlEgh07dmjEYWdnh82bN6u3r127hhkzZqBLly5wcHDAlClTcOXKFfX7s2fPxtSpU/Hhhx/CxcUFDg4OiI6OhkKhUPepqanB66+/Dnd3d8hkMvTq1QtffPEFgMZTNYqKivDUU0/Bzc0NlpaW6N+/P7Zu3XrP3KlUKmzbtg2TJ08WkfH/6dGjR5Mj/g369++Pbt26ISEhQaf9ExGJwcKZiOgBfP311zA1NcX+/fuxYcMG5OXlYdSoURg4cCCOHTuG3377DTdu3MATTzyh/sxrr72GpKQkJCQkYM+ePdi7dy9SU1NFHbeqqgrh4eGwtrZGSkoK/vzzT1hbW2P8+PGora1V90tKSsKlS5eQlJSEr7/+Gps3b9Yovp999ll89913WLNmDc6ePYv169fD2tq6yWNWV1dDLpfjP//5D06fPo158+Zh1qxZOHz4cLNxnjx5EiUlJQgMDBT1/RocPXoUeXl5yMvLQ25uLoYNG4YRI0Zo9BkyZAj27dun0/6JiEQRiIioWZGRkYJUKhWsrKzUr+nTpwuCIAijRo0SBg4cqNH/73//uzB27FiNtpycHAGAcP78eaG8vFwwNzcXvvvuO/X7RUVFQqdOnYSXX35Z3QZASEhI0NiPra2t8NVXXwmCIAhffPGF0KdPH0GlUqnfr6mpETp16iTs3r1bHbunp6dQV1en7vP4448LM2bMEARBEM6fPy8AEBITE5v87klJSQIA4datW83mZ8KECcKiRYuafT8hIUGQSqUacQpCfe7MzMw08mplZSXIZDLB1ta2yX0tXLhQ8PT0FAoKCjTaX3nlFSEsLKzZGIiI9IVznImI7iM8PBzr1q1Tb1tZWal/vnskNTU1FUlJSU2O2l66dAm3b99GbW0tgoOD1e329vbo06ePqJhSU1ORmZnZaN5wdXU1Ll26pN7u168fpFKpetvFxQWnTp0CUL8ih1QqxahRo7Q6plKpxLvvvov4+Hhcu3YNNTU1qKmp0cjH3W7fvg2ZTKYxvaLB008/jTfffFOj7ccff2xy9Y2NGzfiiy++wP79+xvNL+/UqROqqqq0+g5ERA+ChTMR0X1YWVnBx8en2ffupFKpMGnSJLz33nuN+rq4uODixYtaHVMikUAQBI22O+cmq1QqyOVyfPvtt40+e2dhaWZm1mi/KpUKQH3BKcZHH32Ejz/+GKtXr0b//v1hZWWFmJgYjakhd3N0dERVVVWTN07a2to2yquTk1OjfezduxcLFizA1q1bERAQ0Oj94uLiJm/WJCLSNxbORER6NHjwYGzfvh09evSAqWnjS6yPj496NQwPDw8AwK1bt3DhwgWNkd+uXbsiLy9PvX3x4kWNUdXBgwcjPj4eTk5OsLGx0SnW/v37Q6VSITk5GaNHj75v/3379mHKlCl45plnANQX7xcvXkTfvn2b/czAgQMB1N8w2fCzGJmZmZg2bRreeOMNPPbYY032OX36NMLCwkTvm4hILN4cSESkR9HR0SguLsZTTz2FI0eO4PLly9izZw+ee+45KJVKWFtbY+7cuXjttdfw+++/4/Tp05g9ezZMTDQvxw899BA+++wzHD9+HMeOHUNUVJTG6PHTTz8NR0dHTJkyBfv27UNWVhaSk5Px8ssvIzc3V6tYe/TogcjISDz33HPYsWMHsrKysHfvXnz//fdN9vfx8UFiYiIOHDiAs2fP4sUXX0R+fv49j9G1a1cMHjwYf/75p1Yx3en27duYNGkSBg4ciHnz5iE/P1/9alBVVYXU1FSMHTtW9P6JiMRi4UxEpEeurq7Yv38/lEolxo0bB39/f7z88suwtbVVF8cffPABRo4cicmTJ2P06NEYPnw45HK5xn4++ugjuLu7Y+TIkZg5cyZeffVVWFpaqt+3tLRESkoKPDw88Nhjj6Fv37547rnncPv2bVEj0OvWrcP06dMxf/58+Pr64oUXXkBlZWWTff/+979j8ODBGDduHMLCwtCtWzdMnTr1vseYN29ek1NK7ufGjRs4d+4c/vjjD7i6usLFxUX9avDTTz/Bw8Oj0UobRESGIBHunkRHREQtLiwsDAMHDsTq1auNHYreVVdXo0+fPvjuu+80borUhyFDhiAmJgYzZ87U636JiJrCEWciIjIoCwsLfPPNNxoPgdGHgoICTJ8+HU899ZRe90tE1BzeHEhERAan7ZJ3Yjg5OeH111/X+36JiJrDqRpERERERFrgVA0iIiIiIi2wcCYiIiIi0gILZyIiIiIiLbBwJiIiIiLSAgtnIiIiIiItsHAmIiIiItICC2ciIiIiIi2wcCYiIiIi0sL/B9vxUm1VhOFQAAAAAElFTkSuQmCC", "text/plain": [ "<Figure size 800x400 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fs = 4. # taxa de amostragem (Nyquist é fs/2)\n", "f = np.linspace(0, fs/2, 513) # discretização do domínio da frequência\n", "SF = np.zeros_like(f) # o espectro da força ...\n", "SF[f <= 1.] = 250000. # ... tem valor constante até f = 1Hz\n", "\n", "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(3, figsize=(8,4), clear=True)\n", "plt.semilogy(f, SU);\n", "plt.grid(True)\n", "plt.axis([0, 2, 1e-6, 1e+2])\n", "plt.xlabel('Frequência (Hz)')\n", "plt.ylabel('Espectro do deslocamento [m²/Hz]');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5) Valor r.m.s. do deslocamento no topo\n", "\n", "O variância do deslocamento é a integral da respectiva densidade espectral.\n", "O valor r.m.s. (no caso é o mesmo que o desvio padrão, já que a média é zero) é\n", "a raiz quadrada da variância.\n", "\n", "$$ u_{\\rm rms}^2 = \\frac{f_{\\rm n} S_F}{k^2} \\int_0^{f_{\\rm max}}{\\left[ \\frac{1}{(1 - \\beta^2)^2 + (2\\zeta\\beta)^2} \\right] \\; d\\beta} $$\n", "\n", "onde \n", "\n", "$$d\\!f = f_{\\rm n} \\, d\\beta $$\n", "\n", "e $S_F$ é constante de $0$ a $f_{\\rm max}$.\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Valor r.m.s. do deslocamento no topo ...... u_rms = 0.317 m\n" ] } ], "source": [ "urms = np.sqrt(np.trapz(SU, f))\n", "\n", "print('Valor r.m.s. do deslocamento no topo ...... u_rms = {0:5.3f} m'.format(urms))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "O módulo ``MRPy`` permite simular a resposta a partir de um dado espectro.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 800x400 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "u2 = MRPy.from_periodogram(SU, fs)\n", "\n", "u2.plot_time(fig=4, figsize=[8,4], axis_t=[0, u2.Td, -1.5, 1.5]);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6) Valor de pico da aceleração no topo\n", "\n", "Pode-se usar a transformada de Fourier para calcular a aceleração como sendo a\n", "dupla derivada do deslocamento no domínio da frequência. O espectro da aceleração é \n", "então calculado com a relação:\n", "\n", "$$ S_A(f) = \\omega^4 S_U(f) $$ \n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Valor r.m.s. da aceleração no topo ........ a_rms = 3.151 m/s2\n" ] } ], "source": [ "SA = SU * (2*np.pi*f)**4\n", "\n", "arms = np.sqrt(np.trapz(SA, f))\n", "\n", "print('Valor r.m.s. da aceleração no topo ........ a_rms = {0:5.3f} m/s2'.format(arms))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "O fator de pico pode ser calculado utilizando-se a fórmula de Davenport \n", "com a simplificação de que a taxa de _upcrossing_ de zero é aproximadamente igual à \n", "frequência fundamental (processo banda estreita), $\\nu_0^{+} \\approx f_{\\rm n}$. \n", "\n", "$$g = \\sqrt{2 \\ln (\\nu_0^{+} T)} + \\frac{0.5772}{\\sqrt{2 \\ln (\\nu_0^{+} T)}}$$\n", "\n", "onde T é o tempo de observação, que será tomado como 64s. \n", "\n", "O valor de pico da aceleração é dado por:\n", "\n", "$$ a_{\\rm peak} = g \\; a_{\\rm rms}$$\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fator de pico para 64s ........................ g = 2.85\n", "Valor de pico em 64s da aceleração ......... a_pk = 8.99 m/s2\n" ] } ], "source": [ "T = 64. # tempo de observação\n", "nu0 = fn # aproximação, mas geralmente nu0 é menor que fn\n", "\n", "lnu = np.sqrt(2*np.log(T*nu0))\n", "gp = lnu + 0.5772/lnu\n", "\n", "apk = gp*arms\n", "\n", "print('Fator de pico para 64s ........................ g = {0:4.2f}'.format(gp))\n", "print('Valor de pico em 64s da aceleração ......... a_pk = {0:4.2f} m/s2'.format(apk))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Já que o espectro da aceleração está disponível, também é possível simulá-lo\n", "utilizando-se o módulo ``MRPy``.\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 800x400 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a2 = MRPy.from_periodogram(SA, fs)\n", "\n", "a2.plot_time(fig=5, figsize=[8,4], axis_t=[0, a2.Td, -15, 15]);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pode-se verificar pela simulação acima que o pico da aceleração corresponde \n", "aproximadamente ao valor teórico anteriormente calculado.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7) Máximas reações de apoio $M_{\\rm A}$ e $H_{\\rm A}$\n", "\n", "Para calcular estas reações é necessário primeiro calcular o deslocamento de pico.\n", "Para isso, podemos usar o mesmo fator de pico da questão anterior, multiplicando\n", "o valor r.m.s. do deslocamento no topo.\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Valor de pico do deslocamento no topo ...... u_pk = 0.91 m\n", "Máximo momento reativo no engaste ........... M_A = 89.4 kNm\n", "Máxima reação horizontal no engaste ......... H_A = 8.9 kN\n" ] } ], "source": [ "upk = gp*urms # deslocamento de pico\n", "Feq = upk*k # força estática equivalente\n", "\n", "MA = L*Feq # momento reativo\n", "HA = Feq # reação vertical\n", "\n", "print('Valor de pico do deslocamento no topo ...... u_pk = {0:4.2f} m'.format(upk))\n", "print('Máximo momento reativo no engaste ........... M_A = {0:4.1f} kNm'.format(MA/1000))\n", "print('Máxima reação horizontal no engaste ......... H_A = {0:4.1f} kN'.format(HA/1000))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "O valor de pico do deslocamento apresentado acima corresponde aproximadamente ao \n", "valor observado na simulação apresentada na questão (5).\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8) Número de upcrossings em 64s\n", "\n", "Como referência para qualquer resultado teórico aproximado, vamos obter esse\n", "número a partir da simulação feita na questão (5). Vamos considerar que o momento\n", "na base (estático equivalente) é proporcional ao deslocamento no topo e que,\n", "portanto, a contagem pode ser igualmente feita pela observação de $u(t)$.\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Metade do deslocamento de pico ..................... u_thr = 0.45 m\n", "Número de upcrossings em 64 segundos ................... N = 12.8\n", "Número aproximado de zero crossings ................... N0 = 32.0\n" ] }, { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x400 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = u2.t_axis() # eixo do tempo\n", "uthr = upk/2 # valor threshold para contagem (metade do pico)\n", "\n", "u = np.append(u2[0], 0) # anexa mais um ponto ...\n", "kthr = (u[:-1] > uthr) & (u[1:] <= uthr) # ... busca pontos de upcrossing ...\n", "u = u[:-1] # ... e remove ponto inserido\n", "\n", "tcross = t[kthr] # seleciona só os pontos de cruzamento\n", "ucross = u[kthr]\n", "\n", "plt.figure(6, figsize=[10,4], clear=True)\n", "plt.plot(t, u, 'b', lw=0.2)\n", "plt.plot(tcross, ucross, 'ro', markersize=2)\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Displacement (m)')\n", "plt.grid(True)\n", "\n", "Ncross = np.sum(kthr)*(64./u2.Td) # faz a média para 64s\n", "\n", "print('Metade do deslocamento de pico ..................... u_thr = {0:4.2f} m'.format(uthr))\n", "print('Número de upcrossings em 64 segundos ................... N = {0:4.1f}'.format(Ncross))\n", "print('Número aproximado de zero crossings ................... N0 = {0:4.1f}'.format(64./Tn))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A estimativa mais simples para esse cálculo é considerar que ocorre um _upcrossing_ de zero\n", "a cada período de vibração, o que daria 32 _upcrossings_ em 64s. Contudo, o cruzamento\n", "de níveis mais altos acontece com uma taxa menor.\n", "\n", "Como não foi dada em aula a teoria para que se fizesse esse cálculo com mais precisão,\n", "a questão está anulada e os alunos recebem 1.25 pontos (10 pontos / 8 questões) para \n", "compensar o erro do Professor ;-) .\n", "\n", "Contudo, vamos deixar aqui a expressão tirada do livro do Newland (_An Introduction\n", "to Random Vibrations and Spectral Analysis_), capítulo 8.\n", "\n", "A taxa de ultrapassagem de um nível arbitrário, $a$, para um processo banda estreita \n", "(a resposta de um sistema com 1 g.d.l pouco amortecido a uma excitação banda larga \n", "resulta em um processo banda estreita porque ocorre predominantemente na frequência \n", "natural o sistema) é dada por:\n", "\n", "$$ \\nu_a^{+} = \\nu_0^{+} \\exp \\left( -a^2 / 2 \\sigma^2 \\right) $$\n", "\n", "onde $\\sigma$ é o desvio padrão (raiz da variância) do processo e a taxa de \n", "ultrapassagem do zero é aproximadamente $\\nu_0^{+} \\approx f_{\\rm n}.$\n", "O número de upcrossings é simplesmente o produto da taxa de ultrapassagem pelo\n", "tempo de observação:\n", "\n", "$$ N_a^{+} = \\nu_a^{+} T$$\n", "\n", "Portanto:\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Número de upcrossings em 64 segundos ................... N = 11.6\n" ] } ], "source": [ "a = upk/2\n", "nu0 = fn\n", "sig = urms\n", "\n", "nu2 = nu0*np.exp(-(1/2)*((a/sig)**2))\n", "\n", "print('Número de upcrossings em 64 segundos ................... N = {0:4.1f}'.format(nu2*64.))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Este valor confere com boa precisão a estimativa feita por simulação.\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": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 2 }