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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Computational Mechanics Boundary Values - Project 05\n",
"\n",
"![6-string guitar diagram](../images/guitar.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this final project, we will consider all six strings of a guitar and the deflection of the neck of the guitar. Here are the inputs for each of the strings, all L=0.64 m:\n",
"\n",
"|string|density (g/m)|tension (kg)|\n",
"|---|---|---|\n",
"|E|0.401|7.28|\n",
"|B|0.708|7.22|\n",
"|G|1.140|7.32|\n",
"|D|2.333|8.41|\n",
"|A|4.466|9.03|\n",
"|E|6.790|7.71|"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. The neck of the guitar can be considered a cantilever beam with an applied moment, shown above. At the tip we have a moment equal to the sum of the (tensions in the strings) $\\times$ (bridge height). Here we will consider it as $h=4~mm$. \n",
"\n",
"a. Use a finite difference approximation to determine the deflection of the guitar's bridge if the Young's modulus is E=10 GPa and it is a rectangular cross-section $2\\times4~cm^2$ and $I=\\frac{4\\cdot2^3}{12}~cm^4.$\n",
"\n",
"b. Demonstrate that your finite difference solution has converged. _e.g. decrease the step size $h$ and show the solution converges to a final value._"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import animation\n",
"from IPython.display import HTML\n",
"from IPython.display import Audio\n",
"from scipy import linalg\n",
"plt.rcParams.update({'font.size': 22})\n",
"plt.rcParams['lines.linewidth'] = 3"
]
},
{
"cell_type": "code",
"execution_count": 265,
"metadata": {},
"outputs": [],
"source": [
"L = 0.64 # m\n",
"E = 10e9 # Pa\n",
"N = 71\n",
"h=L/(N-1)\n",
"I = (32e-8/12) # m^4\n",
"M = (7.28+7.22+7.32+8.41+9.03+7.71)*9.81*4e-3\n",
"\n",
"A=np.diag(np.ones(N-1)*6)\\\n",
"+np.diag(np.ones(N-2)*-4,-1)\\\n",
"+np.diag(np.ones(N-2)*-4,1)\\\n",
"+np.diag(np.ones(N-3),-2)\\\n",
"+np.diag(np.ones(N-3),2)\n",
"A[0,0]+=1\n",
"A[-1,-1]+=-4\n",
"A[-1,-3]+= 1\n",
"A[-2,-2]+= -1\n",
"A[-2,-1]+= 2\n",
"\n",
"b=np.zeros(N-1)\n",
"b[-2]+= (-M*h**2)/(E*I)\n",
"b[-1]+= (2*M*h**2)/(E*I)\n",
"x=np.linspace(0,L)\n",
"w_an= (M/(2*E*I))*x**2\n",
"w=np.linalg.solve(A,b)\n",
"xnum=np.arange(0,L+h/2,h)"
]
},
{
"cell_type": "code",
"execution_count": 269,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Finite Difference Approximation for Guitar Bridge Deflection\\n')"
]
},
"execution_count": 269,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x=np.linspace(0,L)\n",
"plt.plot(x,w_an*1000, label = 'Analytical Solution')\n",
"plt.plot(xnum,np.block([0,w*1000]),'-', label = 'Finite Difference with h = 0.009 step size')\n",
"plt.legend(bbox_to_anchor=(1,0.5),loc='center left')\n",
"plt.title('Finite Difference Approximation for Guitar Bridge Deflection\\n')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1b. The plot above depicts the finite difference converging to the analytical solution."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2. Here we will record the first three frequencies of the 6-string guitar. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"a. Consider the G-string on the guitar, L=0.64 m, $\\mu=1.14~g/m,$ and T=71.81 N [1]. \n",
"\n",
"__Guitar string equation:__ $\\mu\\frac{\\partial^2 y}{\\partial t^2}=T\\frac{\\partial ^2 y}{\\partial x^2}$\n",
"\n",
"a. Calculate the first, second, and third natural frequencies using 6, 30, 45, and 60 nodes. Plot the mode shapes and determine the number of nodes needed to converge for the first three modes. "
]
},
{
"cell_type": "code",
"execution_count": 240,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First, Second, and Third Natural frequencies of 6-element G string (Hz)\n",
"1st natural frequency = 194.43708661091495 \n",
"2nd natural frequency = 379.1242858005909 \n",
"3nd natural frequency = 544.8006102150756 \n",
"\n",
"First, Second, and Third Natural frequencies of 30-element G string (Hz)\n",
"1st natural frequency = 195.994645953565 \n",
"2nd natural frequency = 391.48617646194407 \n",
"3nd natural frequency = 585.9727675700807 \n",
"\n",
"First, Second, and Third Natural frequencies of 45-element G string (Hz)\n",
"1st natural frequency = 196.04043698528574 \n",
"2nd natural frequency = 391.8522995904132 \n",
"3nd natural frequency = 587.2072799426845 \n",
"\n",
"First, Second, and Third Natural frequencies of 60-element G string (Hz)\n",
"1st natural frequency = 196.0568723200582 \n",
"2nd natural frequency = 391.9837461956978 \n",
"3nd natural frequency = 587.6507093798888 \n",
"\n"
]
}
],
"source": [
"L=0.64 # 64-cm guitar string\n",
"T=71.81 # 9kg*9.81 m/s/s # N\n",
"mu=1.14e-3# kg/m\n",
"N=np.array([6,30,45,60]) # 6-60 node guitar string\n",
"for i in range(0,len(N)):\n",
" dx=L/(N[i]+1)\n",
"\n",
" k = T/dx**2/mu\n",
"\n",
" A = k*(np.diag(np.ones(N[i])*2)\\\n",
" -np.diag(np.ones(N[i]-1),-1)\\\n",
" -np.diag(np.ones(N[i]-1),1))\n",
" e,v=linalg.eig(A)\n",
" isort = np.argsort(e.real)\n",
" e=e[isort]\n",
" v=v[:,isort]\n",
" nat_freq = e.real**0.5/2/np.pi\n",
" x = np.linspace(0,L,N[i]+2) \n",
" print('First, Second, and Third Natural frequencies of {}-element G string (Hz)'.format(N[i]))\n",
" print('1st natural frequency =',nat_freq[0],'\\n2nd natural frequency =',nat_freq[1],'\\n3nd natural frequency =',nat_freq[2],'\\n')\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 241,
"metadata": {},
"outputs": [],
"source": [
"dx=L/(6+1)\n",
"dx2=L/(30+1)\n",
"dx3=L/(45+1)\n",
"dx4=L/(60+1)\n",
"\n",
"k = T/dx**2/mu\n",
"k2 = T/dx2**2/mu\n",
"k3 = T/dx3**2/mu\n",
"k4 = T/dx4**2/mu\n",
"\n",
"A = k*(np.diag(np.ones(6)*2)\\\n",
" -np.diag(np.ones(6-1),-1)\\\n",
" -np.diag(np.ones(6-1),1))\n",
"A2 = k2*(np.diag(np.ones(30)*2)\\\n",
" -np.diag(np.ones(30-1),-1)\\\n",
" -np.diag(np.ones(30-1),1))\n",
"A3 = k3*(np.diag(np.ones(45)*2)\\\n",
" -np.diag(np.ones(45-1),-1)\\\n",
" -np.diag(np.ones(45-1),1))\n",
"A4 = k4*(np.diag(np.ones(60)*2)\\\n",
" -np.diag(np.ones(60-1),-1)\\\n",
" -np.diag(np.ones(60-1),1))\n",
"e,v=linalg.eig(A)\n",
"e2,v2=linalg.eig(A2)\n",
"e3,v3=linalg.eig(A3)\n",
"e4,v4=linalg.eig(A4)\n",
"isort = np.argsort(e.real)\n",
"isort_2 = np.argsort(e2.real)\n",
"isort_3 = np.argsort(e3.real)\n",
"isort_4 = np.argsort(e4.real)\n",
"e=e[isort]\n",
"e2=e2[isort_2]\n",
"e3=e3[isort_3]\n",
"e4=e4[isort_4]\n",
"v=v[:,isort]\n",
"v2=v2[:,isort_2]\n",
"v3=v3[:,isort_3]\n",
"v4=v4[:,isort_4]"
]
},
{
"cell_type": "code",
"execution_count": 242,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0,L,8) \n",
"plt.plot(x[1:-1],-1*v[:,0]/np.max(-v[:,0]),'o',label = '6 nodes') \n",
"x = np.linspace(0,L,32) \n",
"plt.plot(x[1:-1],-1*v2[:,0]/np.max(-v2[:,0]),'o', label = '30 nodes') \n",
"x = np.linspace(0,L,47) \n",
"plt.plot(x[1:-1],-1*v3[:,0]/-np.max(v3[:,0]),'o', label = '45 nodes') \n",
"x = np.linspace(0,L,62) \n",
"plt.plot(x[1:-1],-1*v4[:,0]/np.max(-v4[:,0]),'o', label = '60 nodes') \n",
"plt.title('Covergence of First Mode Shape\\n')\n",
"plt.legend(bbox_to_anchor=(1,0.5),loc='center left');"
]
},
{
"cell_type": "code",
"execution_count": 243,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f4cd1b93f60>"
]
},
"execution_count": 243,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0,L,8) \n",
"plt.plot(x[1:-1],-1*v[:,1]/np.max(-v[:,1]),'o',label = '6 nodes') \n",
"x = np.linspace(0,L,32) \n",
"plt.plot(x[1:-1],1*v2[:,1]/np.max(v2[:,1]),'o', label = '30 nodes') \n",
"x = np.linspace(0,L,47) \n",
"plt.plot(x[1:-1],1*v3[:,1]/-np.max(v3[:,1]),'o', label = '45 nodes') \n",
"x = np.linspace(0,L,62) \n",
"plt.plot(x[1:-1],1*v4[:,1]/np.max(v4[:,1]),'o', label = '60 nodes') \n",
"plt.title('Covergence of Second Mode Shape\\n')\n",
"plt.legend(bbox_to_anchor=(1,0.5),loc='center left')"
]
},
{
"cell_type": "code",
"execution_count": 244,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f4cd1b09630>"
]
},
"execution_count": 244,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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zOeclnPNKMaCrhnWP6Gnv8drZhn2dZu0HJMQSi0GUeBLo+wZMYIz1M5fejEoI16UBwNLAZ0PE93ITl170laoPhP4AADADwudRo7m/g6ECNPcX6OjKxFgFAJX490ALaU31EzC87NLZ+TXlV4O/b23jsvr8D9IHuh2sI8sTaVYgvltqdR7UGRvnnB+D0Fm6F4QWjUoId5xZq0B8t7ZMcAjjTxkvP4AxZuq5iID5z68v+/Y6bw2dNvi7PZeBpejrhCzO+TWpBGLrlzVBlLXl7Xejc9iR9jXpgaztWP6G+M4AvGNuBFpDhqPEii1IR8V/k0yNGCx25NY/efyoVBqxA+IJ8d+ZRu9fcs5VEsuoIIz5AgAPW6gg20X8rN+J/yYyxiT3s9h53FRl/BOEu84A4Q6ULseFEef1/SX+Yi6thEzx3QPA9A7LlKgjyxNp4Yj4Pp4x5ieVgDHmj+ZW385g2PL0OTfzjEIJ+vzfxRgLMJNOPwL6T0adqvXLe0AYz8mUZDPz9GX/LsZYtJl0XSHC4G9z/e1sof9xZK4uNfcoH0O3MMYkAynx3NafwzlGs/X7uh9jjB60TLqcVUEU5/wAmh8MOhnAP821LjDBwxAuBRraKr6HQhj7Q8o/IAxKBwDvmcmWvqK9Tzx5YoymS3lTfB8IYI2FxxHI2tHqZpiPKAh9BYzX7wIzndvFIGGt+G88Y2yBuY0xxpSMsUhzaWy0QXwfzxj7m5ntuxjtz0wIgSAg7GuzLXJMeCxNW1usOrI8EcE28d0NwCoTaVbDfP+79noTwo+LQQD+3sZl9WVCiebzvQXG2BNobkUxLhNfQujcDgArpR43whj7C8zf4fUOhL5IcgAfiZ29TWKMmbtrTSq9O2PsbcZYhIV0N0EY5w8QLoH9ry3bsYK+FWgcY6y3xPaHQrg70FprTfzgfAHNdwl/YDRvO4QhFADgfQt3IbZ5XxNikbVjIUBoCv4WBoPsQajghkO4myZI/Hshmsdg4UbrYBBGpNWvYzOEyswfQCyECk0/L8NCfoLRPPLwJTSPy6KwsNy/DbZxAMLjGyIgXBrsA+GOoxXi53vbaNkog2XHW9iOC4SWL/0YJq9DaLL2hzACdbo4z9yI5Qq0HKl6F4B7IFQovhBGFZ4CYfyga2g9OOh4g2WjzOQ1TX9MJeYZj1j+EYRWiEAIoy+PhPBsxbNoPWL5cDQP5KmCMNqzfkTxQAiB72MQLtdoAQRYWx47qjyZ++ztecH2caJMlisAj0LivLLmWBvMe9SK/BiOWP4vg2MWh04asbyNy24zt220HLH8Cwjnmz+E828l2jZi+f8g3EbfG8LdqqmwbsTyJw3m/wrhcTsDIZy3oRDuoHtWXH+bBoCE0D+IQxhsM13Mb4x4TvmLfy9C8/hoHEZ1g9Ex2GZhe5Jlx6jM5UFouQuCUC+lQLizuxjNT1VIM5MHfR3+lbhv/CFckl0HyyOW34fmR9YUQ/gOGgJhANdgCHXUUxAe/1TZkec5vejVtsTCl/obaB5oz9yr2sRJY82zzrJgxei4aB7QUv/aaMUyrgA2WZF/DqPHxqANQZSY/iYIj/Ewtf5lEMZf4gC+NbEObzQ/tsDS629GyxpWclFm8pkG819KvdFyUDxTL6ln590O4e4cS8tqYWJwRwv7uF3lydJnt/nEcu4gytKz87a3d7+hc4Moa5+dJ/k8OHEd5p6d9yOse3beHFhXV+a38fMbDlBrzXm13MIx2GZheybLDoRWN1PbLodwh6D+XEgzlwcIP15NrcvSs/P+CKGPpKX9caMjz3N60atNg21yzjWc80UABkB4Zlw2gEKxoqiD0EHzvxCeG3UTl7gLggv9DyZA6GOTCWEANK34ngnhGvpEbl0HYONLd1J35Rlvv4Fz/iSEwe02Qxh/pErMQzmEkYhXQ/jyb+ulBONtXYHQMrIcQktNPYRfZfshPKg4Fc13nUjeNcaFu1ymQhid+EMIQVkNhF+hZRD6+SyD8Iibt9qTXzOf4waEY/YnCAFdEYRf4zcgfKFshvCYCam+aDkQfoH/DcINCtfEvNdB+PX5HwCzIVSQkoM7WshbR5YnAoBzXgPheM6H0FpTC+HYfgdgNufceGgRh8I5r+ecT4cwLtJ/IIzzpoFwfh8C8AyA2zjnhWbW8SyEL+b9EG4UqYVQV7wCoWXLYlnlnG+BMD7dqxBapcshtJhUQRjHapuYx3EmVmFqvXUQWp3+COGS/2EILTAN4qsMQt+hVRDu7H2pLetvY16ehhDcH4NQL9VBaHl7C8BwzvkR00u3WtcLEJ7BlwWhblFD2OdLIRwvyc7r4rL/hbCvX4BwjK9DqAdqINyosAPCo7ii2vL5CLGEcc7tnYcejTF2EkLz+9ucc5N9jgghpLthjGVD6B7wIW/bECeEOIQue+wLaU0crG6o+G++/XJCCCGEkLaiIKoTMcZ8zQxvIIPQ5O0C4TLff7oyb4QQQghpHwqiOtc9AH5gjD3NGBvCGPNjjIUxxv4IoT+ZfqDQN23pD0QIIYQQ+7HmAcSkfYYBeNvM/M8g3OlECCGEECdCQVTnyoIwZkkChDsagyAMsXAdwvgw2zjn6fbLHiGEEEJsRXfnEUIIIYTYgPpEEUIIIYTYgIIoQgghhBAbUBBFCCGEEGIDCqIIIYQQQmxAQRQhhBBCiA0oiCKEEEIIsQEFUYQQQgghNqAgihBCCCHEBhREEUIIIYTYgIIoQgghhBAbUBBFCCGEEGIDCqIIIYQQQmxAQRQhhBBCiA0oiCKEEEIIsQEFUYQQQgghNqAgihBCCCHEBhREEUIIIYTYgIIoQgghhBAbUBBFCCGEEGIDCqIIIYQQQmxAQRQhhBBCiA0oiCKEEEIIsQEFUYQQQgghNqAgihBCCCHEBhREEUIIIYTYgIIoQgghhBAbUBBFCCGEEGIDCqIIIYQQQmwgt3cGulpAQACPioqydzYIIcSp5OfnX+ecB9o7H4Q4kh4XREVFRSEvL8/e2SCEEKfCGPvN3nkgxNHQ5TxCCCGEEBs4RRDFGLuZMZbCGNvOGPuFMdbIGOOMsQfsnTdCCCGE9EzOcjlvLoAUe2eCEEIIIUTPKVqiAPwE4A0A/w9AfwAH7ZsdQgghhPR0TtESxTl/3/B/xpi9skIIIYQQAsBJgihi3p7vC/HGvrMoqqhDmG8vLJp8M6YOD4fqnRdR+sEuaKs55J4MhX8ahdf6FaOkpgQhHiFIiUtBYt9Ee2efEIeVcTED60+sR0lNCRLPe+HBLDUU5bWQu2sRNEYBnyfTgJjpJs9BQkj3xjjn9s5DmzHGsgHcBeBPnPOdbVl25MiRvDsNcbDn+0K8sOtH1Gl0AAC59/dwC9qHP5y7gbl7OVy1zWnr5cCm+4RWvBnZHAGVgDbIF5GLlsAnKcke2SfEIanS0/HbG69BXlqB695AXn9gwinAzeB8apRxbL+H4csYObjGF+rSydBWDgcA9FLIsCJ5WLcKpBhj+ZzzkfbOByGOhFqinNwb+86iTqPD+Cv5mPXLfxBQU4sb3oBSgxYBFAAotcCsTCGw0n8ZKEorUPxyKgBQIEUIhACq+OVUKNRqAEBgJTD5ROsOpC46hqn7gXsPa9G78jpueH+CD2MuYX9AMuo0Oryx72y3CqIIIa31iCCKMTYHwBwA6NOnj51z07GKKuow/ko+Un7YCTedBoBQ6ZtqX/RSA8Y9yrhajdJ/PAef/IcBnwhgYioQM71T802IQzn1GbB/GaC6itIvQ8HVLWebugPHSw14i2kDKzmeOZYDXWwksm8agaKKuk7NMiHE/npEEMU53wJgCyBczrNzdjpUmG8vPLrvq6YASq+tXe811cChvaEIqNRB+/HLiJx1Ej5Pv9pxGSXEQWWvegSKL47DtxKo8A6FXzUHs/IMMk7lpgUePfMVsm8agTDfXh2fWUKIQ3GWIQ6ICYsm34zAugrJecbRYr0cqDJTrwdWCl8KimoXXH13F1Tp6R2WT0IcUfbWZfD96Dj8K4XK0L8SMPUTxPh8MvVrLLCuAr0UMiyafHPHZZQQ4pAoiHI2pz5D9rzBODpqEE7fMgiBTyagwUM6MqpyA657Axwcck+g4uFR2JPoD7VR+2MjWn9tuGiB0rXrOuUjEOIoFFs+g9Ko7yBD6wBJLQcOj/KAxt8dAKDxaES1iR8k1UpXvLfvWQx4cBKOjhqE7HmDhcuFhJBup0dczus2Tn2G7HcXw/ewsqni91c1QsPq0CiXwUWra0qqlgN7pvjjD48twR3iMAYDAIwHoBqdjtK166AtLkaZl3CXnhRtcXGnfhxC7M1XpZOczgEoPAFtDYM8NBR9F8zHcKMbL7K3LoNy3Q64appDrkaZC3ppG+BdL/zvXwnUZ3FkaxZj/FxQX0NCuhkKopzJ/mVQ5Ctb/XJWcKBa0QjfoDBoi4ubKv0VJu6280lKaroTL+WTP+CldTcQKBFIyUNDO/oTEOJQKnxk8JcIpCq8gXHv/8Ns0DN+dipUQcObfpDIQ0NRUVECz9qW6ZRaQJGvFDquUxBFSLdCQZQzUV2Fb6V0YONexzHg+/1tXmXKmBewc/wLmLVX03IMHKUCQQvm25pTQpyCZs501K/7N5QG92XUywHNtFFWBTyGP0gA4PQtgyTT+VYCUF1tb3YJIQ7GKfpEMcbiGGPH9C8AceKs14ymd28+Eajwlp5V4SOzaZWJfRMx+ckV+GyqP8q8hcsYmiBfRCwX7sw7Hz8RPw8ajPPxE6mjOXFqqvT0VuV5/OxUVMx/EOU+MjQCKPeRoWLBgxj//Ic2bcPUeVjhDWH4EEJIt+IsLVHeAEZLTB/Q1Rmxq4mp0JxbjPrDLS/p1cuFX9S2SuybiMTlicDy5mn6AQe5OOCgtqgIBUuex++l32P87FSbt0WIPWRvXQY/g/5L2qKipkFmx89OBTqoTGvmTEf92n+3Pj9H1AMTV3bINgghjsMpWqI459mcc2bpZe98doYWv57nb8bwoQ+iIp6h3BviL2cX4ZdzBwc2pWvXNQVQeq4aDtmWHci4mNGh2yKkM2VczIBsS8sO4IA4yGwH34E6fnYqKhY8iHIfF+H89AYq4hmGD30Q5+dvplZdQroZp3x2Xns407PzjFuDAIC5uSH0lWWd/oiWnwcNBiTKRiOABctvQuYDmZ26fUI6SsLOBKx96Yr0L0bGMOjnM526fXuexx2Jnp1HSGtO0RLVU0m1BnXGr2cppu7Mu+ENlNSUdPr2CekoJTUluGGiL2FX3IFqz/OYENK5KIhyUBkXM6ApKpKc1xXjNwUtmI8GRcsrpGo58Ml4hhCNBlg7lAYQJI7t1GfA2qEI0WjwyXjWapDZBgXrkjtQTZ2vmqIiujROiJOjIMoBZVzMQFpOGq7b8dezT1ISfp//Z1z3YWgEUOYNbL6PIX8QQ8rvFYDqCpA+jwIp4phOfSaUT9UVpPxegfxBDJvvYygT+xJe92H4ff6fu+Rymqnz9bo3kJaTRoEUIU6M+kQ5oISdCSiuKca40zo8sZe3GL+pq/tSZFzMwPoT61FSXYQQrQ5LcmsQnquEtlYGubsOQWMU8NnYuX1KCGkr1VODUXpM01ROC2+rx2u3eaBELkOIZxhS4lKQKI7k3+l5kegTpZYLP0qODpEh1CPUKfoYUp8oQlpzliEOehR9n6OjQ2QAdJiRzdG7UuiPFPty13ZGTeybKHzZpPlCVeCG4lwfaHVCA6a2Vo7igzogPd2pOsiS7k2Vno7igzpwnVC9aWvlCDnigs/rf4dPlBpI+6lL86M/N06+8lzTefzJeCae39THkBBnRkGUAwrxCEFxjdCP4ugQGY4OEaaHeoQi017Bik8ESk/Vg+taXgHmOheUrl1HQRRxGKVr10mX01Ne8IkNsEuefJKSsLz+rabz2lCIR4gdckQI6QjUJ8qB6MeEWvfyFWzcqMO4083P9HKTuSElLsV+mZuYCm2t9GjM9KBi4khMlUdtrQyYaL+BYlPiUuAmc2sxbcLPMqzeUEXjRxHipKglykGo3nkRxe/uAtcCDECAimPuVwwMjbgwKrxL+3BIipkOecCb0F5XtZpFDyomjkQeGgqtxJ2t8gBfuz4AWH/+rj+xHiU1JUg874WZe1VwaagAII6i/uKLAEAtu8ij5Z8AACAASURBVIQ4CWqJcgSnPkPpPz8H17ac7KrhWJgXgswHMu0bQImCnn8RzK3lL+kGBcObI0uQsDOB7jIidpVxMQMJOxPw5siSVsNzMDc3BD3/op1y1iyxbyIyH8jEqUdO4bFsHVwadC3m8wYNSle9aqfcEULailqiHMH+ZdDWSMezjnSpTP/ruHTtOmiKi3DDm+Hju4CjQ1yAmmKk5aQBgEMEfKRn0Q8LotapUTzEBRw6PHSQoXclhyI0DEEL5jtc645Uq6656YQQx0NBlCNQXYXcPRDa2taHw9EulfkkJcEnKalpGAZDap0a60+spyCKdLn1J9ZDrWseQkB/Q4YjDx8gd9dKn/PuWonUhBBHRJfzHIFPBIJiqsBkjS0mMzm6ZERlW5i6LZtu1yb24IzlMWiMovU5L2tE0BiFnXJECGkrCqIcwcRU+AwAQm9Tib9COeQeOoTOTXa4SxB6pm7Lptu1iT04Y3n0eTINoWNqm895dy1Cx9TC58k0e2eNEGIlupxnR02jgdeUICS6P1J8K5AYdRXwiRBuxbbjnUSWpMSlNPVBGXdaGBA0oBLQBlVBpaTBN0nXUaWnY/WGKshLtbhuMJCl3YcFsSRmOnxSAJ/9ywDVVWQERuBpv2CUfL8cIefet/8duYQQiyiIshPDjrAAUKxRIc2nF3Dvx05RcerzeOSfr2H63vKmR9MoSitQ/LIwFg8FUqSz6R+pohAfqRJYCTyxl8PP1Rt/eGyJ459LMdOBmOnN9YFG6FReTDdqEOIU6HKenRh3hAWaO2Y7i8S+iXgsx63Fs/0AgKvVKF27zj6ZIj1K6dp1LZ5JBwBuWuCxHDenCj66Q31ASE9ELVF20u94IV7Kbmz1LC1H7ggrxeTo0A40NAPpvrpL+TM87/WXx4W64QpdHifEgVFLlB2o0tPx5FccgZXCAdBfghh3WufQHWGlmBqCwdGGZiDdU3cpf/rzftxpHZ7Y27JuKH45lR4HQ4iDoiDKDkrXroOrhreY5qYFHjoIx+4IKyFowfxWo5gzNzeHHZqBdC/dpfzpn6s3I5vT5XFCnAhdzrMDU5caeldy3OFE/TiAlqOYa4uLIQ8NdcjRoUn31F3Kn77/VsDyv0vOd7bLk4T0FBRE2YGpB6QqQsPskJv2049iTog9dJfyl9g3EefD3pR+eLKTXZ4kpKegy3l20F0uQZh06jNg7VAgzVd4P/WZvXNEupNuXL66fd1ASDdDLVF20F0uQUg69RmQPg/Q1An/q64I/wMOPXgocRLdvHx167qBkG6Icc4tp+pGRo4cyfPy8uydje5r7VBAdQUZHu5Y7+eLErkMIVodUuplSHz6J3vnjji5jHeGYr1S11yufq9AYk0t4HMTsIDKV2dijOVzzkdamz4/Pz9KJpPNcXFxuZdz7teZeSOkozHGfm9sbPxKp9NtGTFiRIGpdNQSRTqW6ioyPNyx75ovXvoc6F2pww1vYOedOuBihlMNgEgcS8bFDOy7pMNLhwzLlS8QDCSqrto7e8RAfn5+lEKh2BUcHOzr6+tb5erqep0xZu9sEWIVzjkaGhoUFRUVf7527do9+fn5yaYCKeoTRTqWTwSOFPti1tdoMdbNrK+FR8QQYqsj/3xNulwV+wrPmyQOQyaTzQkODvYNDg4uVyqVGgqgiDNhjEGpVGqCg4PLg4ODfWUy2RxTaSmIIh1rYiruPYJWY924aYF7M8vtkyfSLdybWS5dro5AeGA3cRguLi73+vr6Vtk7H4S0l6+vb5WLi8u9puZTEEU6Vsx0BFRKzzI1nRBrmC1X3aBTeXfCOfdzdXXV2DsfhLSXq6urxlyfPgqiOln21mU4OnooTt8yCEdHD0X21mX2zlKn0wb5tmk6IdboyeXKGesRuoRHugNL5ZiCqE6UvXUZfNf+G/4qHVwA+Kt08F37b6eoANsjctESNCoVLaY1KhWIXLTETjki3UFPLVc9tR4hxBlQENWJFFs+hdKoD4dSK0zvznySkhCx/FXIw8IAxiAPC0PE8ldprBvSLj21XPXUeoQQZ0BDHHQiX1Vjm6Z3J93lURzEsfTEctWT6xFCHB21RHWiCu+2TSeEEGNUj3Rf1dXV7KWXXgoeOnToIC8vr1t79eo1PDw8fNi9997bNzMz08Pe+bPVwoULwxhjIxYuXOicD4RtA2qJ6kSaMQz1WbxFU3y9XJhOCCHWoHqke/rll19cJ0+ePPDy5ctKf39/7ahRo6qUSiW/cuWK8ttvv/UdNmxYXUJCQo2980nMoyCqE41/PA3ZmsVQ5CvhWyn8ctSMqMf4x1faO2uEECdB9Uj3U1lZ6ZKQkDDwypUrypSUlOJVq1YVK5XKpmewlZSUyEpLS+n72QnQQepMMdMxfi6A/csA1VVhVOWJK2lMG0KI9age6XZeeOGF0CtXrijvv//+G+vWrSsynh8SEqILCQnR2SNvpG2oT1Rni5kuPBg1rUJ478EVnyo9HefjJ+LnQYNxPn4iVOnp9s4ScWBUXgxQPdJtqNVq9sknnwQAwEsvvVTSUetljI1gjI0AgPfee8/v1ltvvcXd3X24h4fH8LFjxw7ct2+fp6llz5075zpz5sw+ERERw1xdXeO8vb1vHT169MBNmzb5m1qmvr6epaamBvfr12+IUqmMCwgIiJ06dWr0uXPnXC3lNSsry2PKlCl9g4ODYxQKRZyfn19sfHx8f1N5PHnypDI5OTkqLCxsmEKhiPPw8BgeHh4+7O677+63bds2uw4URy1RpEuo0tNR/HIquFoNANAWFaH4ZeFRHT3tbitiGZUX0hbbj/3mv2H/+fCyqnrXQC9lw7yJAwpnjol0yOdMHTlyxL2iokIeEhLSEBcXp/7mm288/vOf//iWl5fLg4ODNYmJiapJkybZ3Bdq/vz5YW+99VZoXFxc9YQJE1Q///xzr2PHjnklJSUN3Lt371njdWdlZXlMnTp1QFVVlSw8PLwhISGhory8XJabm+t1/Phxr3379nl/8cUXBS4uzW0uOp0O9957b78DBw74KJVKPmbMmEpPT8/GnJwcr9GjRw+aMGGCylT+li5dGvzKK69EAMDgwYNr4+LiqouLi10PHjzoc/DgQZ/XX3/9t2efffa6Pv3x48d7xcfH31JTU+MSHR2tjo+PVzHGeElJieuRI0e81Wq1y6OPPlph6/5qLwqiSJcoXbuu6QtRj6vVKF27jr4USStUXoi1th/7zf+VL89E1msbXQCgtKre9ZUvz0QCgCMGUj/88EMvAIiKiqqfNm1a1K5du3obzl+3bl3o5MmTf9+5c+clT09PLr0W07Zt2xaUnZ398x133FELCAHPzJkzI3fs2BGQmpoaNmnSpPP6tLW1teyhhx7qW1VVJXvsscdKN2/efEUuF8KC3Nxct3vuuefmPXv29F6zZk31okWLmgKblStXBh04cMAnKChIs3///rNDhw6t168vOTk5evfu3b0hYefOnd7Lli2LCAwM1OzYseNCfHx8U0CXmZnpMW3atAGLFy/uc/fdd1fFxMTUA8Abb7wRXFNT47J48eLCFStWtGi5U6lULrm5ub3auo86El3OI11CW1zcpumkZ6PyQqy1Yf/5cH0ApVevbXTZsP98uL3yZE55ebkcAHJzcz13797de86cOdd++umnn8rKyn7Yvn37r0FBQZp9+/b5zZo1K9KW9T/33HOF+gAKAGQyGVavXl0IAPn5+V719fVNt3V+8MEHfiUlJa5hYWENGzduvKoPoADgtttuUz/33HNFAPD222+HGG5j06ZNQQDw4osvFuoDKABwd3fnW7duvezm5iY5iNmyZcvCxPUVGAZQAJCQkFCzYMGCYq1Wy956661A/fSysjI5ACQlJbVq3fLx8WlsT6tdR6AginQJeWio5PRybxdkXMzo4twQR6cJ9JGcbqockZ6rrKpesg+Oqen21tgoxBc6nY5Nnz79+ubNm68OGTKkPiAgQPfQQw+pPv/8818ZY9i1a1fvM2fOtPkzTJs2rVWwER4ervX29tY1NDSwa9euyfTTDx065AUAycnJ5YZ3B+r97W9/u84Yw+XLl5WXLl1SAMCFCxcUV69eVbq4uGDOnDmtWvrCw8O148aNa/W48OLiYvlPP/3k4enpqUtOTpZ8nPjEiROrACAvL6+pb9SIESNqAGDu3LmRu3fv9q6rq3OosT0oiOpA1BHWtKAF88Hc3FpMU8uBj+5qxOKDL+MfWR/ZKWfE0fwj6yNsHFUDtVFng0alAkEL5tsnUw6I6htBoJeyoS3T7c3Ly6upleaJJ54oM55/55131g4ePLi2sbERmZmZXm1df//+/SU/t6enpw4A6urqmr73i4uLXQEgOjq6XmoZd3d3HhgYqAGAgoIChfjuCgCBgYEaNzc3ycuNffr0aZWHc+fOuXLOUV1dLVMoFCP0HeENX+PHjx8ENLfWAUBaWtq1sWPHVp06dcojOTl5gK+v7/DY2Nhb5s6dG378+HG7XsoDqE9Uh6GOsObp98FPy1+Ar0qHG97AJ+MZjg6RAdDg84tbEOsXj6nDHbIFnnSRPd8X4vOLW8CGccCFYUY2R+9K4IY38FWCF1bQuQSA6htD8yYOKDTsEwUASrlL47yJAwrtmS9TDAOWm2++WTLg6dOnT/3p06fdS0pKFFLzzZHJZJYTiTgXYiDGTDfu6NO0l1arZYAQzCUkJJjtCN67d++moWW9vLwac3JyzmVlZXlkZGR4Hzt2zPOHH37wPHXqlMemTZtCnn322aLVq1fb7To/BVEdhDrCWuaTlIS55S+CQ+KElVfgjX1nKYjq4d7YdxYIEerXo0NkODqkeR5DFVbYKV+OhuqbZvrO485yd97YsWOb+itdu3ZNHhYWpjVOo2+J8fT07NQHJIaFhTUAwMWLF5VS82tra9n169cVABAVFaUBgMjIyAYAKCsrU6jVaibVGnX58uVWlyH79u3bAAByuZx/8cUXBW3Na3x8fI2+H5VarWZbtmzxX7hwYeSbb74Z9vDDD5fHxsZKtqZ1Nrqc10GoI6x1QjxCJKdzjS+KKuq6ODfE0RRV1IFrpId9MVV2eiKqb1qaOSay/PiLk368tDIx//iLk3501AAKAKKjozUxMTE1APD111+3ulxXVlYmO336tDsAjB49ulM7Td95551VALB7925/jUbTav4777zTm3OOPn361EdHR2sAoH///prw8PCGxsZGvP/++63GkSoqKpIfPXq01ZMdo6OjNQMGDKirqKiQf/nll22+TGnIzc2Nz5s370ZsbGwN5xz5+fnu7Vlfe1AQ1UFMdXiljrAtpcSlAI0tW6h5owL1ZZMR5mv3y9vEzsJ8e6G+bDK4URlBo0IoOwQA1TfO7vnnny8GgNWrV4fl5OQ0VXy1tbVs1qxZkdXV1bIhQ4bUTpw4sVODqFmzZv0eEhLSUFhY6PrMM89E6HTNg6Tn5+e7rVq1KhwAnnnmmRZDC8yZM+caALz66qthhp3f6+rq2OOPP95HrVZLxhapqalFADB79uzoXbt2tQq01Go1+/jjj32+/fbbpocvr1y5MvDkyZOtWsrOnDnj+uuvv/YCTPfp6gp0Oa8DZFzMwJHb1Zi+B3AzaJhlbm7UEdZIYt9E5BWUC/1e5BUI0jZifnkx4uo/QNGIQADx9s4isZdTn+Eblgq3+hJsLwvCBn9fqOV1gNYXf+o7B4l9E+2dQ4cRtGB+iz5RgHCjxme3q/GHixm0rxzcjBkzVAcPHry2ZcuW4PHjxw+KiYmp8fPz0548edKjrKxMERQUpPn3v/990XCAy87g7u7Ot2/ffvH+++8fsGXLluCvvvrKNzY2tub333+XHz9+3Euj0bCpU6feMBz8EgCWLFlSun//fu9Dhw75xMXFDR0zZkylh4dHY25urmdDQ4PL/ffff0NqrKiZM2dW/Prrr1eXL18eMW3atAGRkZH1ffv2Vbu6ujYWFRW5Xrp0ya26ulq2atWqy/qhC7Zt2xb4wgsv9ImIiKgfOHBgnYeHR2NZWZkiPz/fU6PRsClTppRPmDCh1nhbXYVaotop42IG0nLS8OWASmy+j6HMG+AANEG+CH1lWY/rn2CNpfEP44OgmThecA37r15FUm0twtl13PbjUuDUZ/bOHrGHU58B6fPgXlcMF8bxl9prOHTlEh64mozlI3ZgafzD9s6hQ/FJSkLoK8ugCfIFB1DmDWy+j+HLAZVIy0mjYUOcwObNm69++OGHF+Li4qrPnTvX6+DBgz69evVqfPzxx699//33Z4YNG9YlrSsTJ06sycvLOzNjxowynU7H9u3b53fy5EmP2NjYmo0bN14yHq0cAORyOTIzMy8sWbKkMCwsrD4nJ8f7u+++8xo9enTVsWPHzkRFRZm8MzItLe3a4cOHz0yfPv16Y2MjcnJyvA8fPuxTWVkpHzVqVNWaNWt+e+SRR5ouxy5durTwwQcfLPP09Gw8ceKE59dff+1XUFCgvO2226q2bt16cc+ePZc6cfdYxDqq572zGDlyJM/Ly+uw9SXsTEBxTet+CKEeoch8ILPDttPtrB0KqK60nu5zk/BsMNKzUHmwSVfWP4yxfM75SGvSnjx5siA2Nva65ZSEOL6TJ08GxMbGRknNo5aodiqpkX5+pKnpRKS62rbppHuj8mATqn8IsS/qE9VOIR4hkr8E6U4iC3wimloeVAW9UHrKC9paGeSeDEEj0ukyaA+jKg1D6TGNUAbcdQiKqYJPVJ1QTohJVP8QYl/UEtVOKXEpcJO1HInbTeZGdxJZMjEVUPSCqqAXinN9oK2VA2DQVgPFL6f22NGXeyJVejqKj8iby0CtHMW5PlBd8RbKCTGJ6h9C7ItaotpJfxfM+hPrUVJTghCPEKTEpdDdMZbETAcAlD62FFzXclZPHTSwpypduw68oeUYNVzngtKz4fARywmRRvUPIfZFQVQHSOybSJWWLWKmQ1uTBuF+xpZ66qCBPZHJgSNvSD6jlBih+ocQ+6HLecSuaNBAQmWAEOKsKIiykeqdF3F+5CD8fMstOD9yEFTvvGjvLDmloAXzwdxa9umgQUp7FioDHYfqJUK6Fl3Os4HqnRdRvPELcB1DU2fojV8AAHyeftW+mXMy+n5PpWvXQVtcDHloKIIWzKf+UD0IlYGOQfUSIV2PBtu0wfmRg6Ctbj1d7gkMyPu5XesmhBBbdHa9RINtkp6KBtvsYNpq6cDT1HRivYyLGUjYmYCYD2OQsDOBHl/RjdGx7lhULxHS9ehyng3knszELz7W9ZnpRvTPIVTrhIeqFtcUIy0nDQDo7qNuho51x6N6iZCuRy1RNgialQwma/nrjsk4gmYl2ylH3cP6E+ubvlT11Do11p9Yb6cckc5Cx7rjUb1ESNejligb6Dtpln6wC9pqLjyqZNY06rzZTvQcsJ6DjnXHo3qJkK5HQZSNfJ5+lSqnDkbPAes56Fh3DqqXCOladDmPOAx6DljPQcea9GSvvvpq0H333de3b9++Q3x9fW+Vy+Vxfn5+sbfffvvAjRs3+jc2NppdftOmTf4jRoy42cvL61Z3d/fhQ4cOHbRixYpAnU5ndjlHt3DhwjDG2IiFCxeG2Tsv1qKWKOIw6DlgPQcda9KTbdiwIaS8vFw+YMCAuri4uGp3d/fGq1evuh47dszru+++89q1a5ffvn37LshkslbLPvzww322b98eqFQq+dixYyvlcjn/7rvvvJcsWdLnwIED3nv37r0gl9NXe1ehPd0GGRczqNLvZPrngKnS08XBFxfhfOibNPhiN9F8XIsxMDQUny+YD58H6Lh2FqqzHNO//vWvi2PHjq319vZu0eSUl5fnds8999y8f/9+37fffrt3SkrKDcP527Zt892+fXtgQECAJisr6+ywYcPqAeDKlSvy8ePH3/zNN9/4rlixIujll18u7crP05PR5Twr6W/JLq4pBgdvuiWbxrbpeKr0dBS/nAptURHAObRFRSh+ORWq9HR7Z420Ax3XrkV1luOaPHlytXEABQAjR45Uz5o1qxQAvv32W2/j+atXrw4FgKVLlxbqAygAuOmmm7QbNmz4DRBauZz9sp4zoSDKSnRLdtcpXbsOXN1yX3O1GqVr19kpR6Qj0HHtWlRnOSe5XM4BwM3NrcV4FRcuXFCcPn3aXaFQ8EcffbTceLnExMTqoKAgzfXr1xVZWVke1m6PMTaCMTYCAN577z2/W2+99RZ3d/fhHh4ew8eOHTtw3759nqaWPXfunOvMmTP7REREDHN1dY3z9va+dfTo0QM3bdrkb2qZ+vp6lpqaGtyvX78hSqUyLiAgIHbq1KnR586dc7WU16ysLI8pU6b0DQ4OjlEoFHF+fn6x8fHx/U3l8eTJk8rk5OSosLCwYQqFIs7Dw2N4eHj4sLvvvrvftm3bfK3ZP5ZQEGUluiW762iLW9+1ZW46cQ50XLtWj6qzcrf6Y/XAYUjzHYHVA4chd6vJL3FH9ssvv7h++OGHgQCQlJRUYTjvf//7nzsA9O/fv87T01NyGPqYmJgaAMjLy3Nv67bnz58f9uSTT/ZVKBR8woQJquDg4IZjx455JSUlDfz2229bBWVZWVkeI0eOHPzxxx8HAkBCQkLF0KFDa06cOOE5d+7c6Pvvvz/KuIO8TqfDvffe2++VV16JKCwsVI4ZM6Zy9OjRVTk5OV6jR48eVFBQYDKQWrp0afCkSZNu2bt3r19gYKBm0qRJFZGRkfUHDx70ue+++25es2ZNgGH648eP9xo3btzg3bt393Zzc2uMj49X3XHHHarAwEDNkSNHvLdu3RrY1n0khfpEWYluye468tBQ4ZKPxHTivOi4dq0eU2flbvXHvhcioa0XGgWqr7li3wuRAIDbZrdqsXEk69ev733o0CEvjUbDiouLXb///nsPzjl7+umnS/7yl7+0CKIuXryoBIDw8PAGU+uLiIhoAIBLly4p25qXbdu2BWVnZ/98xx131AJCwDNz5szIHTt2BKSmpoZNmjTpvD5tbW0te+ihh/pWVVXJHnvssdLNmzdf0Xdmz83Ndbvnnntu3rNnT+81a9ZUL1q0qOkZiitXrgw6cOCAT1BQkGb//v1nhw4dWq9fX3JycvTu3bt7S+Vt586d3suWLYsIDAzU7Nix40J8fHyNfl5mZqbHtGnTBixevLjP3XffXRUTE1MPAG+88UZwTU2Ny+LFiwtXrFjR4peDSqVyyc3N7dXWfSSFWqKsoEpPx+oNVfh0hRbvvKPFuNPC9Wa6JbtzBC2YD+bW8vZ35uaGoAXz7ZQj0hHouHYt/TAS407r8M47WuxYocXGjTosUf3B3lnrWAdXhTcFUHraehccXBVupxxZLScnx3PXrl2909PT/fPy8jwBYNGiRYWvv/56q18b1dXVLgDg7u5ucvwDT0/PRjFt69v6LHjuuecK9QEUAMhkMqxevboQAPLz873q6+ubnh/0wQcf+JWUlLiGhYU1bNy48arh3YC33Xab+rnnnisCgLfffrtFxL5p06YgAHjxxRcL9QGU+Jn41q1bL7u5uUl+tmXLloWJ6yswDKAAICEhoWbBggXFWq2WvfXWW02tS2VlZXIASEpKUhmvz8fHp3HSpEk1xtNtQUGUBfrOsIrSCjAAgZXAE3s5ppz3RtrtaXSnSyfwSUpC6CvLIA8LAxiDPCwMoa8so7vznBwd166V2DcRb9QnYe5XQr3lAiBAxRHy1u7u1Zm/ulT6EpCp6Q7k008//Y1znl9VVXUiLy/v9OzZs0vXrFkTFhcXN6igoEBhmJZz4QoeY53zLMRp06a1CjbCw8O13t7euoaGBnbt2rWmwOzQoUNeAJCcnFyuVCpbXVr829/+dp0xhsuXLysvXbqkAIQ+XVevXlW6uLhgzpw5rVoIw8PDtePGjas0nl5cXCz/6aefPDw9PXXJycmt5gPAxIkTqwBAH4gCwIgRI2oAYO7cuZG7d+/2rqur65QdR5fzLJDqDOumBR7LccOA5RRAdRafpCT6cu2G6Lh2rfCPD0Krafkdp+/M322Og2dQA6qvtQ6YPINMXvZyNJ6ennzEiBHqzZs3Xw0JCdEsW7YsYs6cOX0yMzMv6NN4eXk1AkBNTY3Jxg99a5Wnp2ebb8/r37+/5P7y9PTUVVZWyurq6pq2W1xc7AoA0dHR9VLLuLu788DAQE1paamioKBAER0drdH3dwoMDNQYd5rX69OnT6s8nDt3zpVzjurqaplCoRhh7jOUl5c3xTRpaWnXvvvuO6/vvvvOKzk5eYCrqyu/5ZZbam+//faqWbNmlY8aNarO3LqsRUGUBdQZlhDirHpE/XXX84Ut+kQBgFzZiLueL7Rjrmz21FNPXV+2bFlEVlaWT319PdO39OgDlsLCQpMtbPp5UVFRksGNOVIDe5piTauYPk17abVaBgjBXEJCQoW5tL1799bq//by8mrMyck5l5WV5ZGRkeF97Ngxzx9++MHz1KlTHps2bQp59tlni1avXt3uE4GCKAuoMywhxFn1iPpL33n84KpwVJe6wjOoAXc9X+joncpNCQgI0MlkMq7T6Vhpaanspptu0gLA6NGjawHg119/7VVdXc2k7tA7deqUBwCMHDmy1nheRwoLC2sAmju7G6utrWXXr19XAEBUVJQGACIjIxsAoKysTKFWq5lUa9Tly5dbBYh9+/ZtAIShH7744ouCtuY1Pj6+Rt+PSq1Wsy1btvgvXLgw8s033wx7+OGHy2NjY9sccBqiPlEWUGdYB3DqM2DtUCDNV3g/9Zm9c0Tago6f3fSY+uu22eX4+7kfkVaRj7+f+9FZAygA+Oqrr7x0Oh3z8vLShYaGNrWs9O/fXzN48OBajUbDtm3b1moIh4yMDM9r164pAgICNBMnTuyQTtOm3HnnnVUAsHv3bn+NRtNq/jvvvNObc44+ffrUR0dHa/T5Dw8Pb2hsbMT777/fKv9FRUXyo0ePthpgNDo6WjNgwIC6eJVo4wAAIABJREFUiooK+ZdffunVnny7ubnxefPm3YiNja3hnCM/P7/NQ0EYoyDKAuoMa2enPgPS5wGqKwC48J4+j76InQUdP7ui+svxfP31157vvvuuv1RH58zMTI+5c+dGAsCf//zn68bPwPv73/9eAgD/+Mc/wn/66aemVqDCwkJ5SkpKJADMmzevpC2X5mwxa9as30NCQhoKCwtdn3nmmQjDEdLz8/PdVq0S7ox85plnWgwtMGfOnGsA8Oqrr4adOXOmqdWprq6OPf74433UarVkTJKamloEALNnz47etWtXq0BLrVazjz/+2MdwPKuVK1cGnjx5slVL2ZkzZ1x//fXXXoDpPl1twTrquqWzGDlyJM/Ly7N3Noi11g4Vv4CN+NwELPip6/ND2oaOX7fBGMvnnI+0Ju3JkycLYmNjr1tO2fNs2LChd0pKSpSXl5duyJAhtYGBgZrq6mrZ5cuXlRcuXHADgPHjx6vS09MvSF2ymzlzZp+PP/44UKlU8ttvv13/AGKv6upq2aRJkyq++uqrNj2AWD9aOec8X2p+eHj4sKKiItdffvnlx5tvvrmp4/f+/fs97r///gFVVVWym266qT42Nrbm999/lx8/ftxLo9GwqVOn3vjiiy8KXFya4yKtVouJEyf2P3TokI9SqeRjxoyp9PDwaMzNzfVsaGhwiY+Pr9i9e3fvBQsWFL/55pstrkOnpaUFL1++PEKn0yEyMrK+b9++aldX18aioiLXS5cuuVVXV8tWrVp1+bnnnisDgFtuuWXw2bNne0VERNQPHDiwzsPDo7GsrEyRn5/vqdFo2JQpU8rT09MvWbOPTp48GRAbGxslNY9aoohjU10FAGR4uCMhIgwxUTchISIMGVqnba3vUTK05S2Pm4fYei4eV0J6moSEhKqUlJTiQYMG1V66dMktMzPT7+jRo951dXUukydP/v1f//rXhQMHDvxqalTy7du3X3733XcvDR48uPb48eNehw8f9u7Tp0/9a6+9dvnrr79uUwDVHhMnTqzJy8s7M2PGjDKdTsf27dvnd/LkSY/Y2NiajRs3XjIOoABALpcjMzPzwpIlSwrDwsLqc3JyvL/77juv0aNHVx07duxMVFSUyTsq09LSrh0+fPjM9OnTrzc2NiInJ8f78OHDPpWVlfJRo0ZVrVmz5rdHHnmk6Yth6dKlhQ8++GCZp6dn44kTJzy//vprv4KCAuVtt91WtXXr1ot79uyxKoCyhFqiiGNbOxQZ2htIC/CH2uCEdOMcaXeuonG6HFjGxQykHXoeaoM7eNwaG5F2vRyJ8t7UEuVkqCWK9FTmWqLo7jzi2CamYn1uGtQuLhh3WocZ2Ry9K4Eb3sBXv76GRBqry2Ed+edrWJOpazpen4xnODpEhvX+fki8LdXe2SOEkHZzqst5jLEZjLHDjDEVY6yaMZbHGHuaMeZUn4O0Qcx0lMhlGHdahyf28qaRlwMrgel7yrvXyMvdiCo9HdP3lLc4Xk/s5Rh3WocSuQyImW7vLBJCSLs5TfDBGHsHwMcARgI4DOAbAAMBvA1gJ2Osc29HIHYT4hGKGdkcbtqW0920wojyxPGUrl0nebxmZHOEeHSjMYoIIT2aUwRRjLFpAJ4CUAIghnM+hXN+P4ABAH4GcD+AZ+yYRdKJUuJSECD5xKRuNvJyN2LquARUgh7aTQjpNpwiiALwgvj+POf8vH4i5/wagLniv4vpsl73lNg3EdogX8l53Wrk5W7E1HHRBvnSzQCEkG7D4YMOxlgEgBEAGgB8bjyfc34QQCGAEABjujZ3pKtELlrSM0Ze7iZMjZQduWiJnXJECCEdzxnuzhsuvp/mnJt66nIugHAxbU6X5Ip0Kf0Iy6Vr10FbXAx5aCiCFsynkZcdFB0vQkhP4AxBVLT4/puZNJeN0pJuyCcpib6EnQgdL0JId+fwl/MAeIrv5h6oWC2+Sz6ckDE2RxwOIa+srKxDM0cIIYSQnskZgij9cMc2D63OOd/COR/JOR8ZGBjYQdkihBBCSE/mDEFUlfjuaSaNfl6VmTSEEEIIIR3GGYKoAvE90kyam4zSEkIIIYR0KmcIor4X34cwxnqZSHObUVpCCCGEkE7l8EEU5/wKgBMAXAH8yXg+Y+wuABEQRjP/rmtzRwghhJCeyuGDKNEK8X0VY6y/fiJjLAjARvHflZzzxi7PGSGEENJOzzzzTDhjbARjbERqamqwVJpp06ZF6dNIvaKjo4d0db470sKFC8MYYyMWLlwYZu+8WMsZxokC53wnY+xdCI94+ZEx9i0ADYCJALwB7IHwIGLSw6jS02lARwdAx4EQ2x08eNB906ZNIYwxcG75RvS4uLjqqKioeuPpISEhmk7JIDHJKYIoAOCcP8UYOwLgaQB3AZAB+AXAPwG8S61QPY8qPR3FL6eCq9UAAG1REYpfTgUA+gLvQnQcCLFdXV0dmz17drS/v78mNja25ttvv5V+UKiBRx555Pq8efNudEX+iHnOcjkPAMA5/4RzPo5z7s059+Ccj+Ccv0MBVM9UunZd0xe3HlerUbp2nZ1y1DPRcSDEdgsXLgy7cOGC27p1637z9vbW2Ts/pG2cKogixJC2uLhN00nnoONAiG2ysrI83nvvvZCkpKTyGTNmqOyRB31/KgB47733/G699dZb3N3dh3t4eAwfO3bswH379pkco/HcuXOuM2fO7BMRETHM1dU1ztvb+9bRo0cP3LRpk7+pZerr61lqampwv379hiiVyriAgIDYqVOnRp87d87VUl6zsrI8pkyZ0jc4ODhGoVDE+fn5xcbHx/c3lceTJ08qk5OTo8LCwoYpFIo4Dw+P4eHh4cPuvvvuftu2bbPY4mcNp7mcR4gxeWgotEVFraZrAn3skJueSxPoA0VpRavp8tBQO+SG9ESfnv3Uf9PJTeE36m649u7Vu+HJ2CcL/9/N/6/c3vkyp7a2ls2ePTvK29tbu3nz5ittWTY7O9vr1KlTvWpqamRBQUGaO++8s3rq1KmVMpnM5vzMnz8/7K233gqNi4urnjBhgurnn3/udezYMa+kpKSBe/fuPTtp0qQWj17LysrymDp16oCqqipZeHh4Q0JCQkV5ebksNzfX6/jx41779u3z/uKLLwpcXJrbanQ6He69995+Bw4c8FEqlXzMmDGVnp6ejTk5OV6jR48eNGHCBJOB5NKlS4NfeeWVCAAYPHhwbVxcXHVxcbHrwYMHfQ4ePOjz+uuv//bss89e16c/fvx4r/j4+FtqampcoqOj1fHx8SrGGC8pKXE9cuSIt1qtdnn00UdbV1xtREEUcVpBC+bj6ksvwqW+uS+lWg58cHsdJl/MQGLfRDvmrmfIuJiBfbfXYdaXgJu2eXqjUoGgBfPtlzHSY3x69lP/13Nfj2zQNbgAwPW6666v574eCQCOHEilpKSEFxQUuG3ZsuViaGio1vISzXbv3t3b8P8NGzagX79+6k8++eTiqFGj6mzJz7Zt24Kys7N/vuOOO2oBIeCZOXNm5I4dOwJSU1PDJk2adF6ftra2lj300EN9q6qqZI899ljp5s2br8jlQjiRm5vrds8999y8Z8+e3mvWrKletGhRU2CzcuXKoAMHDvgEBQVp9u/ff3bo0KH1+vUlJydHG38uvZ07d3ovW7YsIjAwULNjx44L8fHxTQFdZmamx7Rp0wYsXry4z913310VExNTDwBvvPFGcE1NjcvixYsLV6xYUWK4PpVK5ZKbm2tq3Mk2oct5xGn5JCVhe5IXyryBRgBl3sDm+xgODNJh/Yn19s5ej7D+xHocGKTD5vtYi+OwPcmLOpWTLrHp5KZwfQCl16BrcNl0clO4vfJkyTfffOPxz3/+M3jSpEkVf/3rX3+3drnY2Nja5cuXX8nLyzutUqn+f3v3Hhd1mfcN/HMxMzAwnE9ySg55yBOUaGZurYnZbcTzJLbeZbatd61lmWittlkhawf1vrWk0tTNzZ6Xrq5b2fMQZZZWWuQquEGeMg+kwnASOTMwh+v5Y2aUw6CAAwMzn/frNa8f/E7z/V0/GL5c1/W7rn8XFhYWbNu27dTQoUMbT58+rZ46deqQs2fPqroT0+LFi4usCRQAKBQKrFq1qggA8vLyfJqamqzz2OL9998PKCkpcY+IiGhet27dBWsCBQBjx47VLV68uBgA3nnnnbCW77F+/fpQAHjxxReLrAkUAHh5eclNmzadU6vVNvs3L1u2LMJyvsKWCRQATJkypX7hwoVag8Eg3n777cuT45aXlysBICUlpV3tlp+fn6ltzVp3MYmifi17cC2eflqJB19Q4umnlfh+hLk6u6S+5BpHkj1Yy/n7EYpW9yF7MKexpN5xsfGizb40Ha13tLq6OvHHP/4xVqPRGN97771zXTk2PT297MUXXyxLTEzU+fr6mqKjo/UPPvhg9Y8//ng8ISGhvrKyUrl06dJutaNPnz69XbIRGRlp8PX1NTY3N4vS0tLLbYX79u3zAYDU1NRKDw+PdmMyPPPMMxVCCJw7d87DmtSdPn1adeHCBQ83NzfMmTOnXQ1hZGSkYcKECTVt12u1WuWRI0c03t7extTU1HbbASApKakWAHJzcy/3jUpMTKwHgLlz50bv3LnTt7GxUdg69noxiaJ+LUwT1qX1ZF8sf3K0IM+g5q6sd7S0tLSoX3/91eOVV145Hx0dbZdxndRqtVy0aJEWAPbu3dutTqGDBg2yWV7e3t5GAGhsbLycL2i1WncAiI2NbTdWFWCuWQoJCdEDQGFhocqydAeAkJAQvVqttjkY1sCBA9vFcPLkSXcpJerq6hQqlcrmIKMTJ04cBgCVlZWXq8QyMjJKx48fX1tQUKBJTU0d7O/vf0tCQsJNc+fOjTx48KBdmvIA9omifi5tdBoycjKgM155xF6tUCNtdJoDo3IdLH9ytCcTnixq2ScKANwV7qYnE54scmRcHdm1a5e/m5sbtm7dGrx169bgltvOnDmjBoD3338/ZNeuXf6xsbG6f/zjH7925ryjRo3SAUBZWVm3mvO60indOiCoEB1X7nRm0NDOMBgMAjAnc1OmTLlqR/CgoKDLfct8fHxMOTk5J/fu3avJzs72PXDggPePP/7oXVBQoFm/fn3Yc889V7xq1arrfoSYSRT1a9bO45mHM1FSr0WYUSKtrAjJ//d5IKkeiJ/h4AidWMEOJO9ZBhgqkRkUiBKFQJgmHGmj09ipn3qNtfN4f3o6z2Qy4dChQx0OHXDhwgWPCxcueNTU1HQ6sykrK1MCgJeXV4+PmxgREdEMAGfOnPGwtb2hoUFUVFSoACAmJkYPANHR0c0AUF5ertLpdMJWbdS5c+faNcHGxcU1A4BSqZQfffRRYVdjnTRpUr21H5VOpxMbN24MfPbZZ6PfeOONiEceeaQyISHBZm1aZ7E5j/q95Lhk7B7yOAoulGP3ufNIrq8Hqs8DWfOBgh2ODs85Fewwl2+1ubx3nztvLv8hjzOBol73n0P/s/LrGV//VPBoQd7XM77+qS8nUEVFRT9JKfNsvVJTUy8CwMsvv3xBSpl34sSJY50977Zt2wIBYNSoUXbpMH01d955Zy0A7Ny5M1Cvb98iuXbt2iApJQYOHNgUGxurB4BBgwbpIyMjm00mE957771240gVFxcrv//+e9+262NjY/WDBw9urKqqUn766ac+1xO3Wq2W8+fPv5iQkFAvpUReXp7X9ZwPYBJFzmLPMkDf5slefaN5Pdkfy5uoV+Xk5Hhu27bNz2BoPRqCXq9HRkbGgM2bN4cCwIIFC0p7OpbZs2dfCgsLay4qKnKfN29elNF4ZaD1vLw89cqVKyMBYN68ea2e8JkzZ04pALz22msRx44du1zr1NjYKB5//PGBOp3OZk6Snp5eDACPPfZY7Mcff9wu0dLpdGLr1q1+X331lca6bsWKFSH5+fntasqOHTvmfurUKU+g4z5dXcHmPHIO1Re6tp6uD8ubqFedPn3a4/e///2Nc+fONcbExOjCw8Ob6+rqFD///LNneXm5ys3NDS+++OKF6dOn23yCzZ68vLzkli1bzkybNm3wxo0bB3z++ef+CQkJ9ZcuXVIePHjQR6/Xi/vvv/9iy8EvAWDJkiVle/bs8d23b5/f6NGjR9522201Go3GdOjQIe/m5ma3adOmXbQ1VtSsWbOqTp06deHVV1+Nmj59+uDo6OimuLg4nbu7u6m4uNj97Nmz6rq6OsXKlSvPWYcu2Lx5c8gLL7wwMCoqqmnIkCGNGo3GVF5ersrLy/PW6/Xivvvuq7zrrrsa2r5XV7EmipyDX1TX1tP1YXkT9aqxY8c2zJ49uyw2NlZXXFzsvnfvXv9Dhw75eHp6mh544IGL33zzzfFXX321x2uhrJKSkupzc3OPzZw5s9xoNIovvvgiID8/X5OQkFC/bt26s21HKwcApVKJ3bt3n16yZElRREREU05Oju8PP/zgM27cuNoDBw4ci4mJ6fCJyoyMjNL9+/cfmzFjRoXJZEJOTo7v/v37/WpqapS33npr7erVq3999NFHLzfjLl26tOihhx4q9/b2Nh0+fNh7165dAYWFhR5jx46t3bRp05lPPvnkrD3KQdirB31/MWbMGJmbm+voMMjerH109I2oLvREWYEPDA0KKIP9Efr8ixz40Y6qs7JQtvI1GCqqoPQyIjS+Fn4xjYDKE0h5i535nZQQIk9KOaYz++bn5xcmJCRUXHtPor4vPz8/OCEhIcbWNjbnkXOw/OGuXp8B7SEjpNH8H5Chohral9MBgImUHVRnZUH7cjqkTgdAwNCghPaQH+AVCL8nM5hAEZFLYXMeOY/4GSg7EX45gbKSOh3K3lzjoKCcS9mbaywJ1BXS6IayE+FMoIjI5TCJIqdi0NoeO62j9dQ1LF8ioiuYRJFTUYbbnjaqo/XUNSxfIqIrmESRUwlduABCrW61TqjVCF24wEEROReWLxHRFexYTk7F2nm87M01MGi1UIaHI3ThAnYqtxOWLxHRFUyiyOn4paTwj3oPYvkSEZmxOY+cWvaZbEz5cAriP4jHlA+nIPtMtqND6pdYjkRE7bEmipxW9plsZORkQGc0P5KvrdciIycDADhJbhewHImIbGNNFDmtzMOZl//wW+mMOmQeznRQRP0Ty5GIyDYmUeS0SupLurSebGM5EhHZxiSKnFaYJqxL68k2liMRkW1MoshppY1Og1rRekwjtUKNtNFpDoqof2I5EhHZxo7l5LSsnZ4zD2eipL4EYZowpI1OY2foLmI5EhHZxpoocmrJccnY/cBu7A98DWvXGRGXvAi/TEpCdVaWo0PrF6qzsvDLpCTEJS/C2nVG7A98Dbsf2M0EisgO6urqxEsvvTRg5MiRw3x8fG729PS8JTIyctTUqVPjdu/erenouPXr1wcmJiYO9fHxudnLy+uWkSNHDlu+fHmI0WjszfDt7tlnn40QQiQ+++yzEY6OpbNYE0VOrzorC9qX0yF15ifMDMXF0L6cDgAcNPIqWG5EPefEiRPu99xzz5Bz5855BAYGGm699dZaDw8Pef78eY+vvvrKf9SoUY1Tpkypb3vcI488MnDLli0hHh4ecvz48TVKpVL+8MMPvkuWLBn49ddf+3722WenlUr+ae8tLGlyemVvrrmcCFhJnQ5lb65hMnAVLDeinlFTU+M2ZcqUIefPn/dIS0vTrly5Uuvh4SGt20tKShRlZWXt/j5v3rzZf8uWLSHBwcH6vXv3/jxq1KgmADh//rxy4sSJQ7/88kv/5cuXh7788stlvXk9rozNeeT0DFptl9aTGcuNqGe88MIL4efPn/eYNm3axTVr1hS3TKAAICwszBgfH9/U9rhVq1aFA8DSpUuLrAkUANxwww2Gt95661cAeOutt8L6e7Nef8IkipyeMjy8S+vJjOVGZH86nU78/e9/DwaAl156qdODrZ0+fVp19OhRL5VKJf/whz9Utt2enJxcFxoaqq+oqFDt3bu3w/5UbQkhEoUQiQDw17/+NeDmm2++ycvL6xaNRnPL+PHjh3zxxRfeHR178uRJ91mzZg2Miooa5e7uPtrX1/fmcePGDVm/fn1gR8c0NTWJ9PT0ATfeeOMIDw+P0cHBwQn3339/7MmTJ92vFevevXs19913X9yAAQPiVSrV6ICAgIRJkyYN6ijG/Px8j9TU1JiIiIhRKpVqtEajuSUyMnLU3XfffePmzZv9O1M+18Ikipxe6MIFEOrWj+gLtRqhCxc4KKL+geVG/UXltu2Bv9xx56jjw4Yn/nLHnaMqt23v8I+4o3333XdeVVVVyrCwsObRo0frvvzyS828efMiZ86cGb1w4cKIr776ymYC9K9//csLAAYNGtTo7e0tbe0THx9fDwC5ubleXY1rwYIFEU8++WScSqWSd911V/WAAQOaDxw44JOSkjLEVkx79+7VjBkzZvjWrVtDAGDKlClVI0eOrD98+LD33LlzY6dNmxZjMplaHWM0GjF16tQbX3nllaiioiKP2267rWbcuHG1OTk5PuPGjRtWWFjYYSK1dOnSAZMnT77ps88+CwgJCdFPnjy5Kjo6uunbb7/1u/fee4euXr06uOX+Bw8e9JwwYcLwnTt3BqnVatOkSZOq77jjjuqQkBD9d99957tp06aQrpaRLewTRU7P2n+n7M01MGi1UIaHI3ThAvbruQaWG/UHldu2B5atWBEtm5rcAMBQXu5etmJFNAAEPvRguxobR/vxxx89ASAmJqZp+vTpMR9//HFQy+1r1qwJv+eeey59+OGHZ1smS2fOnPEAgMjIyOaOzh0VFdUMAGfPnvXoalybN28O/eabb47fcccdDYA54Zk1a1b09u3bg9PT0yMmT578i3XfhoYG8fDDD8fV1tYq/uu//qtsw4YN562d2Q8dOqT+j//4j6GffPJJ0OrVq+sWLVpUYT1uxYoVoV9//bVfaGiofs+ePT+PHDmyyXq+1NTU2J07dwbBhg8//NB32bJlUSEhIfrt27efnjRp0uUO97t379ZMnz598J///OeBd999d621GfR//ud/BtTX17v9+c9/Llq+fHmrGr/q6mq3Q4cOeXa1jGxhTRS5BL+UFAzeuwfDjh/D4L17mAh0EsuN+rqL69ZFWhMoK9nU5HZx3bpIR8V0NZWVlUoAOHTokPfOnTuD5syZU3rkyJEj5eXlP27ZsuVUaGio/osvvgiYPXt2dMvj6urq3ADAy8vLZOu8AODt7W2y7KvoalyLFy8usiZQAKBQKLBq1aoiAMjLy/NpamoS1m3vv/9+QElJiXtERETzunXrLrR8GnDs2LG6xYsXFwPAO++802pag/Xr14cCwIsvvlhkTaAs1yQ3bdp0Tq1W27y2ZcuWRVjOV9gygQKAKVOm1C9cuFBrMBjE22+/fbl2qby8XAkAKSkp1W3P5+fnZ5o8eXK7Jx+7g0kUuaaCHcCbI4EMf/OyYIejI+o7WDbUjxgqKmw2AXW03tGsTVxGo1HMmDGjYsOGDRdGjBjRFBwcbHz44Yer//nPf54SQuDjjz8OOnbs2OVrkNJcKSWEsH3i6zR9+vR2yUZkZKTB19fX2NzcLEpLSy8nZvv27fMBgNTU1Mq2neIB4JlnnqkQQuDcuXMeZ8+eVQHmPl0XLlzwcHNzw5w5c9rVEEZGRhomTJhQ03a9VqtVHjlyROPt7W1MTU1ttx0AkpKSagEgNzf3ct+oxMTEegCYO3du9M6dO30bGxt7pOCYRJHrKdgBZM0Hqs8DkOZl1nwmCwDLhvodZXCwzeatjtY7mo+Pz+XalieeeKK87fY777yzYfjw4Q0mkwm7d+/2aXtcfX19h3+3rbVV3t7eXX48b9CgQTbLy3quxsbGy++r1WrdASA2NrbdE4SAuWYpJCREDwCFhYUqy9IdAEJCQvRqtdpmn66BAwe2i+HkyZPuUkrU1dUpVCpVorUjfMvXxIkThwFXavkAICMjo3T8+PG1BQUFmtTU1MH+/v63JCQk3DR37tzIgwcP2qUpD2CfKHJFe5YB+sbW6/SN5vXxMxwTU1/BsqF+Juipp4pa9okCAOHhYQp66qkiR8bVkZaJx9ChQ20mLgMHDmw6evSoV0lJiartcUVFRR3WsFm3xcTE2Exurkah6HwLYGdqxaz7XC+DwSAAczI3ZcqUqqvtGxQUZLB+7ePjY8rJyTm5d+9eTXZ2tu+BAwe8f/zxR++CggLN+vXrw5577rniVatWXfd4LUyiyPVUXwAAZGu8kBngjxKlAmEGI9IuVcKVJzPJPpONTB8jSgJusJRHFZLrLV0kLGVG1NdYO49fXLcu0lBR4a4MDm4Oeuqpor7YqRwAxo8ff7nfUWlpqTIiIsLQdh9rjYq1jxMAjBs3rgEATp065VlXVydsPaFXUFCgAYAxY8Y0tN1mTxEREc3Alc7ubTU0NIiKigoVAMTExOgBIDo6uhkAysvLVTqdTtiqjTp37ly7BDEuLq4ZAJRKpfzoo48KuxrrpEmT6q39qHQ6ndi4cWPgs88+G/3GG29EPPLII5UJCQldTjhbYnMeuR6/KGRrvJARHAitSgkpBLQqJTJCApF9JtvR0TlE9plsZORktC6P4EBkayxPSvtFOTZAoqsIfOjBysH79/007PixvMH79/3UVxMoAIiNjdVbhyLYtWuXT9vt5eXliqNHj3oBwLhx4y53fh40aJB++PDhDXq9XmzevLndEA7Z2dnepaWlquDgYH1SUpJdOk135M4776wFgJ07dwbq9fp229euXRskpcTAgQObYmNj9db4IyMjm00mE95777128RcXFyu///5737brY2Nj9YMHD26sqqpSfvrpp+3KqyvUarWcP3/+xYSEhHopJfLy8ro8FERbTKLI9SSlIzMwADo3N0w4asTatQZsX27A6nVGfPe31x0dnUNkHs5EYkH95bJYu9aAxOMSmQH+gMoTSEp3dIhETuP555/XAsCqVauWtJTBAAATtklEQVQicnJyLvfPaWhoELNnz46uq6tTjBgxoqFtMvSnP/2pBAD+8pe/RB45cuRyLVBRUZEyLS0tGgDmz59f0pWmue6YPXv2pbCwsOaioiL3efPmRbUcIT0vL0+9cuXKSACYN29eq6EF5syZUwoAr732WkTLTvONjY3i8ccfH6jT6WzmJOnp6cUA8Nhjj8V+/PHH7RItnU4ntm7d6tdyPKsVK1aE5Ofnt6spO3bsmPupU6c8gY77dHWFsFe7ZX8xZswYmZub6+gwyMHiPxiF248a8cRnEuoWlek6JRC3/L9d7lH+uYtHYM5npnZlsXGqwLuPZLA/FEEIkSelHNOZffPz8wsTEhIqrr2n63riiSeiNm7cOEClUsn4+Pj6gIAAQ35+vqa8vFwVGhqq/+qrr35uObWL1axZswZu3bo1xMPDQ95+++3WCYh96urqFJMnT676/PPPuzQBsXW0cillnq3tkZGRo4qLi91PnDjxU8s+XHv27NFMmzZtcG1treKGG25oSkhIqL906ZLy4MGDPnq9Xtx///0XP/roo0I3tyt5kcFgQFJS0qB9+/b5eXh4yNtuu61Go9GYDh065N3c3Ow2adKkqp07dwYtXLhQ+8YbbxS3jCMjI2PAq6++GmU0GhEdHd0UFxenc3d3NxUXF7ufPXtWXVdXp1i5cuW5xYsXlwPATTfdNPznn3/2jIqKahoyZEijRqMxlZeXq/Ly8rz1er247777KrOyss52pozy8/ODExISYmxtY00UuaQwTThmftM6gQIAtcE8uKSrmfWtsFkWs/a5MYEi6gEbNmy48MEHH5wePXp03cmTJz2//fZbP09PT9Pjjz9e+u9///uYrQQKALZs2XLu3XffPTt8+PCGgwcP+uzfv9934MCBTa+//vq5Xbt2dSmBuh5JSUn1ubm5x2bOnFluNBrFF198EZCfn69JSEioX7du3dm2CRQAKJVK7N69+/SSJUuKIiIimnJycnx/+OEHn3HjxtUeOHDgWExMTIdPVGZkZJTu37//2IwZMypMJhNycnJ89+/f71dTU6O89dZba1evXv3ro48+erkZd+nSpUUPPfRQube3t+nw4cPeu3btCigsLPQYO3Zs7aZNm8588sknnUqgroU1UeSSss9kI/beP8HmsyVCYNjxY70dkkMdGzYMwsZHgRTA8OPHez8g6nNYE0WuijVRRG0kxyXDEGp7/klXnGBXFR7RpfVERMQkilxY9KIlnGDXgpMNExF1HceJIpfFCXavYFkQEXUdkyhyaX4pKUwULFgWRERdw+Y8IiIiom5gEkVERETUDUyiiIiIiLqBSRQREdmdq41BSM7pWj/HTKKI2qjOysIvk5JwfNhw/DIpCdVZWY4Oye5c4RrJcYQQl5qbm1WOjoPoejU3N6uEEJc62s4kiqiF6qwsaF9Oh6G4GJAShuJiaF9Od6okwxWukRzLZDJ9XlVV5ePoOIiuV1VVlY/JZPq8o+1MoohaKHtzDaRO12qd1Omcaj49V7hGciyj0bixtLS0qrS0NLCpqUnFpj3qT6SUaGpqUpWWlgaWlpZWGY3GjR3ty3GiiFowaLU21+u1xTbX90d6bbHNOQM7unairkpMTCzMy8tL1Wq1c0pLS6dKKYMdHRNRVwghLplMpu1Go3FjYmJiYUf7MYkiakEZHm5u5mrjoq9A9plsJMclOyAq+8k+kw1fX4Hg6vY1A644ZyD1HMsfniWWF5FTYnMeUQuhCxegWdW6nkanBLb+Fsg8nOmgqOwn83Amtv7WfE0tNasE58kjIuoiJlFELfilpGD9VIFyX8AEoNwX2HCvwPcjFCipL3F0eNetpL4E349QYMO9ra9x/VTBKV+IiLqIzXlEbZy+NRJPj2jfPyjMaAIKdgDxMxwQlR0U7ECY0QStwpwUfj/iyqZwDZvyiIi6ijVRRG2kjU6DWqFutU5tMiHt4kUga745kepvCnYAWfORdvEi1CZTq01qhRppo9McFBgRUf/FJIqojeS4ZGTcnoFwo4SQEuF6AzIqKpFc3wDoG4E9yxwdYtftWQboG5Fc34CMikqE6w3mazNKZNye0e87zBMROQKb84hsSI5LRvL/eRiAjfFtqi/0ejzXrUXMyfUN5oQQACAAJlBERN3CJIqoI35RQPV5AEB1oSfKCnxgaFBA6S0QmpjVLzpiV2dloezNNTAUh0PpZUBofC38Yhqv7OAX5bjgiIj6OTbnEXUkKR1QeaK60BPaQ34wNCgBCBjq0C+mSWk1vQsAQ4MS2kN+qC70NO+g8jRfIxERdQuTKKKOxM8AUt5C2ZEASGPrX5X+ME2KzeldjG4oK/AB/G4AUt7qv08aEhH1AWzOI7qa+Bkw1GfAVt8ofR+fJqWjaVwMjSpg4ZFejoaIyPmwJoroGjqaDqXc0x+f/Luol6PpPH1QSJfWExFR1zCJIrqG0IUL0KRQtVqnUwLbkqqQfvghZJ/JdlBkHcs+k413xzW2m95Fp1Bh87CpjgmKiMjJMIkiuga/lBRk3vwASj39LdOkCPNUMCMVkMpLyMjJ6FOJVPaZbGTkZOC7+MZW07uUabyQefMD2Bk0ytEhEhE5BfaJIuqEk6N+gz/ckAjNjSvg5l7VapvOqEPm4cw+M2Bl5uFM6IzmDuUtp3cxNXuh/nQiIv09HRgdEZHzYE0UUScsumcoPFUKCFWVze19aXLijmIRqip4qhRYdM/QXo6IiMg5sSaKqBPuvyUSAJB+OABSeQkAMOGoETO/kQiqAar8FKgOdOwAnNaBNbcX61HhC/x9onmiYSs3YwBeTR11+VqIiOj6sCaKqJPuvyUSy+96HmqFGhOOGvHEZxIhNeZfosBqo0MH4Gw5sKYAEFIDPPGZxISjRgDmSYaX3/U8EygiIjtiTRRRF1j7Pfm//TzUBmOrbdYBOB1RG2VrYE21AZj5jcSZW8ORNjqtz/TZIiJyFkyiiLooOS4Zx2sW2dzW0QCXPa2j9w2pFdj9wO5ejoaIyDWwOY+oGzoagFPpqQfeHAkU7OidQAp2AG+ONL+vrXg6iJOIiK4fkyiibghduABCrW61TihMCI2vBarPA1nzez6RKthhfp/q8wiNr4VQmFrHo1YjdOGCno2BiMiFMYki6ga/lBSEv7IMyogIAIDSy4CS3zTid78JQHzMDZgyIADZ+5f1aAzZ+5dhygDz+/3uNwEo+U0jlF4GczwREQh/ZZlDnxYkInJ2Qsr2E6s6szFjxsjc3FxHh0HOJMMf2RpPZAQHIvG4vDzsQaUvYHziIUx8LN3ub/nNpmVQbNiGwBrgomU4g7xhAhkVlUiubwQybI9nRdRdQog8KeUYR8dB1JewJoroevlFITPAH4nHZathD4JrgIA12+0+7EF1VhYC1mxHsOV9rMMZJB6XyAzwB/yi7Pp+RERkG5MoouuVlI4SpQIzv5FQG1pvctdLlL25xq5vV/bmGrjrW9cgW4czKFEqgCT713wREVF7fT6JEkJohBAPCyHWCCG+F0I0CCGkEOJTR8dGBACIn4Ewd38E1djebO9hDzo6X1ANEObuD8TPsOv7ERGRbf1hnKjBALY4Ogiiq0m77QVU+i1CcHX7PobCzw+/TEqCQauFMjwcoQsXdKnDt3U6F+vxCj8/GKva93mq9BNIu+2F67oOIiLqvD5fEwWgFsDfADwFYByAJx0bDlF7yXHJMM55EM0q0XqDUgnU18NQXAxICUNxMQqXPI9vNnXuyb1vNi1D4ZLnWx1vrKuDUKla7desEjDOeZCjkhMR9aI+n0RJKU9LKR+TUr4rpTwIoMnRMRHZMvGxdMS8vtI87IEQUEZEQOHtDalvPRCmu15CsWEbstdeZVDOgh3IXjsSig3b2vV/gsEAaDSt3ifm9ZU98hQgERF1rD805xH1G34pKa2a6o4PG25zv8Aa4LPTRgz520vQ1y/FJT8FtvxWwt/dHw/t1UFVWQ9/X4GADvpZyepqDD7wQ09cAhERdRKTKKIepAwPNzfFtVGnBmbsBgwGBQSAwGojnswChFslVEYAEAisAUwARLujOZ0LEVFf0Oeb84j6s9CFC9r1k9IpAQi0Hw5BwpJAXeEGoG1X9WaV4HQuRER9gEskUUKIOUKIXCFEbnl5uaPDIRfil5KCSwseRIWfgAlAuS+w4V4Bn8bOn0NajjMBqPATuLTgQU7nQkTUB/Roc54Q4r8B/K9uHJokpSyyVxxSyo0ANgLmaV/sdV6izpj4WDqy70rEKweWo6S5CmEGIwwaI1T1ik4dX+ULzHtKgTB3f6Td9gKfwCMi6iN6uk9UBICh3ThOde1diPqP5Lhkc/JTsAPYswzVoy5BmxsA2aJJr1kAwq11k55QmDByjAIFo9M5iCYRUR/To0mUlHIWgFk9+R5E/Ur8DCB+BvwAwDKIpl5bjEu+LZ7O22eCqry6WwNzEhFR7+HTeUQO0nY4hAkOjIWIiLrOJTqWExEREdkbkygiIiKibugXzXlCiJ0ArKMLhliWE4QQB1rs9oqUMrt3IyMiIiJX1S+SKAC3AIhus84f5gmJrUJARERE1Ev6RRIlpYxxdAxERERELQkpXWvsSSFEOYBfO7FrMICKHg6Hro33oW/gfeg7HHUvoqWUrPEnasHlkqjOEkLkSinHODoOV8f70DfwPvQdvBdEfQefziMiIiLqBiZRRERERN3AJKpjGx0dAAHgfegreB/6Dt4Loj6CfaKIiIiIuoE1UURERETdwCSKiIiIqBtcIokSQswUQuwXQlQLIeqEELlCiKeFEN26fnufz1XYo9yEECohRJIQYrUQ4oAQQiuEaBZCFAkhPhRCTOzBS3AKPfnzK4R4XQghLa8/2SNeZ9YDn02eQojFQohDQogqIUSDEOKsEOKfQogJ9o6fyNU5fZ8oIcRaAE8B0AHYA0APIAmAD4CdAH4npTQ66nyuwl7lJoSYDOBLy7clAPIA1AMYDmCkZf0rUsp0u16Ak+jJn18hxFgAP8D8z5kAsEhKucoecTujHvhsigWwG8AgAGUADgBoAhAD4GYAy6SUr9rxEohISum0LwDTAUgAWgCDW6wfAOCYZVuao87nKi97lhuASQA+BHCHjW3/CcBgOd9djr7uvvbqyZ9fAB4AjgIogjkBkAD+5Ohr7quvHvhs0gA4ZTluGQBVm+1BAIY4+rr54svZXg4PoEcvDsi1fKj83sa237b4EHNzxPlc5dWb5QbgPcv5Njn6uvvaqyfvA4CVluNTAGxmEtW79wLAcssxHzj62vjiy5VeTtuHRwgRBSARQDOAf7bdLqX8Fub/msMA3Nbb53MVDii3f1uWUXY4l9PoyfsghBgH4DkAf5dSZl1/tM6tBz6b3AH80fLtCvtFSkTX4rRJFIBbLMujUsrGDvY51Gbf3jyfq+jtchtsWWrtcC5n0iP3QQihBvABgEoAad0Pz6XY+14kwtxcd15KeVwIcbulg/8GIcRfhBDjrzdgIrJN6egAelCsZfnrVfY512bf3jyfq+i1chNChAH4g+Xbj67nXE6op+7DawCGAnhQSlnRncBckL3vxSjL8hchxGYAj7bZni6E+AjAI1dJ2oioG5y5Jsrbsqy/yj51lqWPA87nKnql3IQQSgBbAPgB2MNmpXbsfh+EELcDWADgEynlP64jNldj73sRaFneCeD3AFbB/IReAID/DXPT4HQAa7scKRFdlTMnUcKytNcYDvY+n6vorXJbD/Pj4ecBzOrh9+qP7HofhBCeAN4HUAPzY/rUefb+nbB+jithfqBikZTytJSySkr5/wDcb3mvR4UQcXZ6TyKCcydRtZal91X2sW6rvco+PXU+V9Hj5SaEyATwGMzjRiVJKUu6cx4nZ+/78DqAIQCelVKy/1nX9NRnEwD8te1GKWUuzOOpuQGY2InzEVEnOXOfqELLMvoq+9zQZt/ePJ+rKLQse6TchBCrAcwHUA5zAvVLV8/hIgotS3vdh2kATDDXbrTtg3OTZTlXCHEfgFNSysc7GacrKLQs7f3ZBABnO9jnLIAxMD/xR0R24sxJlPVR9xFCCM8OOlSObbNvb57PVfRYuQkh/hvAswAuArhbSnms+2E6vZ64D24wj2nUkTjLy7+T53MV9r4Xh1t8HQTzPxRtBVuWdTa2EVE3OW1znpTyPMwfLu4Aftd2uxDitzCPJVQC81QVvXo+V9FT5SaEWAFgEYBLMCdQ+XYJ2En1wO9DjJRS2HrBPOQBYJ72RUgpb7bflfR/PXAvigD8y/Jtko3zBQAYbfk2t3tRE5EtTptEWSy3LFcKIQZZVwohQgGss3y7QkpparFtuRDihBBiOdrr8vkIgJ3vgxDiFQDPA6iCOYFizV/n2Pv3gbrP3vfiNcsyXQhxc4tj1ADehfmp1TzwHzwiu3Lm5jxIKT8UQrwLYC6An4QQX+HKJJ++AD4B8E6bw8JhHvcm3E7nc3n2vA9CiP8F4CXLt6cAPCOEgA0npJQcvbkFe/8+UPf1wGdTlhBiFYA/AfiXEOJfMDdz3wogAuZhDh6SUvLpYiI7cuokCgCklE8JIb4D8DTM/TcUAE4A+BuAd7taa2Tv87kKO5ZbYIuvx1hetnwLToHRDn9++44e+GxaJITIAfAMzCOde8E8aOcbMNdq2eorRUTXQfAfEyIiIqKuc/Y+UUREREQ9gkkUERERUTcwiSIiIiLqBiZRRERERN3AJIqIiIioG5hEEREREXUDkygiIiKibmASRURERNQNTKKIiIiIuuH/A3N++xH1pTaKAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0,L,8) \n",
"plt.plot(x[1:-1],v[:,2]/np.max(v[:,2]),'o',label = '6 nodes') \n",
"x = np.linspace(0,L,32) \n",
"plt.plot(x[1:-1],1*v2[:,2]/np.max(v2[:,2]),'o', label = '30 nodes') \n",
"x = np.linspace(0,L,47) \n",
"plt.plot(x[1:-1],1*v3[:,2]/-np.max(v3[:,2]),'o', label = '45 nodes') \n",
"x = np.linspace(0,L,62) \n",
"plt.plot(x[1:-1],1*v4[:,2]/np.max(v4[:,2]),'o', label = '60 nodes') \n",
"plt.title('Covergence of Third Mode Shape\\n')\n",
"plt.legend(bbox_to_anchor=(1,0.5),loc='center left')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2a. The number of nodes for convergence is 60."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"b. Use the number of nodes necessary for convergence to calculate the first 3 modes of vibration for the other 5 strings on the guitar. Display the first three natural frequencies for all six strings. "
]
},
{
"cell_type": "code",
"execution_count": 259,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First, Second, and Third Natural frequencies of 60-element high E string (Hz)\n",
"1st natural frequency = 329.662873200059 \n",
"2nd natural frequency = 659.1071584965831 \n",
"3nd natural frequency = 988.1144129239271 \n",
"\n",
"First, Second, and Third Natural frequencies of 60-element B string (Hz)\n",
"1st natural frequency = 247.0748304582595 \n",
"2nd natural frequency = 493.98583425108916 \n",
"3nd natural frequency = 740.5692933408752 \n",
"\n",
"First, Second, and Third Natural frequencies of 60-element G string (Hz)\n",
"1st natural frequency = 196.05578023030412 \n",
"2nd natural frequency = 391.98156274026314 \n",
"3nd natural frequency = 587.6474360065606 \n",
"\n",
"First, Second, and Third Natural frequencies of 60-element D string (Hz)\n",
"1st natural frequency = 146.89843350533522 \n",
"2nd natural frequency = 293.6994638051143 \n",
"3nd natural frequency = 440.3057522782996 \n",
"\n",
"First, Second, and Third Natural frequencies of 60-element A string (Hz)\n",
"1st natural frequency = 110.01731758315894 \n",
"2nd natural frequency = 219.96168653677302 \n",
"3nd natural frequency = 329.7602066010026 \n",
"\n",
"First, Second, and Third Natural frequencies of 60-element low E string (Hz)\n",
"1st natural frequency = 82.44585723617439 \n",
"2nd natural frequency = 164.8370475123807 \n",
"3nd natural frequency = 247.11894011639782 \n",
"\n"
]
}
],
"source": [
"L=0.64 # 64-cm guitar string\n",
"T=np.array([7.28,7.22,8.41,9.03,7.71,7.32])*9.81\n",
"mu=np.array([0.401,0.708,2.333,4.466,6.790,1.14])*10**-3# kg/m\n",
"N = 60\n",
"dx=L/(N+1)\n",
"\n",
"k = T[0]/dx**2/mu[0]\n",
"k2 = T[1]/dx**2/mu[1]\n",
"k3 = T[2]/dx**2/mu[2]\n",
"k4 = T[3]/dx**2/mu[3]\n",
"k5 = T[4]/dx**2/mu[4]\n",
"k6 = T[5]/dx**2/mu[5]\n",
"\n",
"E = k*(np.diag(np.ones(N)*2)\\\n",
" -np.diag(np.ones(N-1),-1)\\\n",
" -np.diag(np.ones(N-1),1))\n",
"B = k2*(np.diag(np.ones(N)*2)\\\n",
" -np.diag(np.ones(N-1),-1)\\\n",
" -np.diag(np.ones(N-1),1))\n",
"D = k3*(np.diag(np.ones(N)*2)\\\n",
" -np.diag(np.ones(N-1),-1)\\\n",
" -np.diag(np.ones(N-1),1))\n",
"A = k4*(np.diag(np.ones(N)*2)\\\n",
" -np.diag(np.ones(N-1),-1)\\\n",
" -np.diag(np.ones(N-1),1))\n",
"E2 = k5*(np.diag(np.ones(N)*2)\\\n",
" -np.diag(np.ones(N-1),-1)\\\n",
" -np.diag(np.ones(N-1),1))\n",
"G = k6*(np.diag(np.ones(N)*2)\\\n",
" -np.diag(np.ones(N-1),-1)\\\n",
" -np.diag(np.ones(N-1),1))\n",
"\n",
"e,v=linalg.eig(E)\n",
"e2,v2=linalg.eig(B)\n",
"e3,v3=linalg.eig(D)\n",
"e4,v4=linalg.eig(A)\n",
"e5,v5=linalg.eig(E2)\n",
"e6,v6=linalg.eig(G)\n",
"\n",
"isort = np.argsort(e.real)\n",
"isort_2 = np.argsort(e2.real)\n",
"isort_3 = np.argsort(e3.real)\n",
"isort_4 = np.argsort(e4.real)\n",
"isort_5 = np.argsort(e5.real)\n",
"isort_6 = np.argsort(e6.real)\n",
"\n",
"e=e[isort]\n",
"e2=e2[isort_2]\n",
"e3=e3[isort_3]\n",
"e4=e4[isort_4]\n",
"e5=e5[isort_5]\n",
"e6=e6[isort_6]\n",
"\n",
"v=v[:,isort]\n",
"v2=v2[:,isort_2]\n",
"v3=v3[:,isort_3]\n",
"v4=v4[:,isort_4]\n",
"v5=v5[:,isort_5]\n",
"v6=v6[:,isort_6]\n",
"\n",
"nat_freq_E = e.real**0.5/2/np.pi\n",
"nat_freq_B = e2.real**0.5/2/np.pi\n",
"nat_freq_D = e3.real**0.5/2/np.pi\n",
"nat_freq_A = e4.real**0.5/2/np.pi\n",
"nat_freq_E2 = e5.real**0.5/2/np.pi\n",
"nat_freq_G = e6.real**0.5/2/np.pi\n",
"\n",
"x = np.linspace(0,L,N+2) \n",
"\n",
"print('First, Second, and Third Natural frequencies of {}-element high E string (Hz)'.format(N))\n",
"print('1st natural frequency =',nat_freq_E[0],'\\n2nd natural frequency =',nat_freq_E[1],'\\n3nd natural frequency =',nat_freq_E[2],'\\n')\n",
"\n",
"print('First, Second, and Third Natural frequencies of {}-element B string (Hz)'.format(N))\n",
"print('1st natural frequency =',nat_freq_B[0],'\\n2nd natural frequency =',nat_freq_B[1],'\\n3nd natural frequency =',nat_freq_B[2],'\\n')\n",
"\n",
"print('First, Second, and Third Natural frequencies of {}-element G string (Hz)'.format(N))\n",
"print('1st natural frequency =',nat_freq_G[0],'\\n2nd natural frequency =',nat_freq_G[1],'\\n3nd natural frequency =',nat_freq_G[2],'\\n')\n",
"\n",
"print('First, Second, and Third Natural frequencies of {}-element D string (Hz)'.format(N))\n",
"print('1st natural frequency =',nat_freq_D[0],'\\n2nd natural frequency =',nat_freq_D[1],'\\n3nd natural frequency =',nat_freq_D[2],'\\n')\n",
"\n",
"print('First, Second, and Third Natural frequencies of {}-element A string (Hz)'.format(N))\n",
"print('1st natural frequency =',nat_freq_A[0],'\\n2nd natural frequency =',nat_freq_A[1],'\\n3nd natural frequency =',nat_freq_A[2],'\\n')\n",
"\n",
"print('First, Second, and Third Natural frequencies of {}-element low E string (Hz)'.format(N))\n",
"print('1st natural frequency =',nat_freq_E2[0],'\\n2nd natural frequency =',nat_freq_E2[1],'\\n3nd natural frequency =',nat_freq_E2[2],'\\n')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"c. Create an audio signal that has the 18 frequencies (6 strings $\\times$ 3 modes) in an array and display it using the `from IPython.display import Audio` library. \n",
"\n",
"_Hint: you don't need to solve the differential equations here. You can use the calculated frequencies to add sine-waves together:_ $\\sin(f_12\\pi t)+\\sin(f_22\\pi t)+...$"
]
},
{
"cell_type": "code",
"execution_count": 263,
"metadata": {},
"outputs": [
{
"data": {
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\" type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 263,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"freq = np.array([nat_freq_E[0],nat_freq_E[1],nat_freq_E[2],nat_freq_B[0],nat_freq_B[1],nat_freq_B[2],nat_freq_G[0],nat_freq_G[1],nat_freq_G[2],nat_freq_D[0],nat_freq_D[1],nat_freq_D[2],nat_freq_A[0],nat_freq_A[1],nat_freq_A[2],nat_freq_E2[0],nat_freq_E2[1],nat_freq_E2[2]])\n",
"\n",
"N = 100000\n",
"dt = 3/N\n",
"t = np.linspace(0,3,N)\n",
"out_file = np.sin(2*np.pi*freq[0]*t)\n",
"for i in range(1,18):\n",
" out_file += np.sin(2*np.pi*freq[i]*t)\n",
"\n",
" \n",
"samplerate = int(1/dt) \n",
"Audio(data = out_file,rate = samplerate)\n"
]
},
{
"cell_type": "code",
"execution_count": 264,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'input signal (a.u.)')"
]
},
"execution_count": 264,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(np.linspace(0,len(out_file),len(out_file))*dt*1000,out_file)\n",
"plt.xlim((0,200))\n",
"plt.xlabel('time (ms)')\n",
"plt.ylabel('input signal (a.u.)')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}