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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"
]
},
{
"cell_type": "code",
"execution_count": 172,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Sample A matrix\n",
" [[ 7. -4. 1. 0. 0. 0.]\n",
" [-4. 6. -4. 1. 0. 0.]\n",
" [ 1. -4. 6. -4. 1. 0.]\n",
" [ 0. 1. -4. 6. -4. 1.]\n",
" [ 0. 0. 1. -4. 5. -2.]\n",
" [ 0. 0. 0. 2. -4. 2.]] \n",
"\n",
"Sample b matrix\n",
" [-0.00000000e+00 -0.00000000e+00 -0.00000000e+00 -0.00000000e+00\n",
" -7.86557952e-05 1.57311590e-04]\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy import linalg\n",
"plt.rcParams.update({'font.size': 22})\n",
"plt.rcParams['lines.linewidth'] = 3\n",
"# Defining Project Inputs\n",
"L = L_e = L_b = L_g = L_d = L_a = L_e2 = 0.64 #m\n",
"mu_e = 0.401e-3 #kg/m\n",
"mu_b = 0.708e-3 #kg/m\n",
"mu_g = 1.140e-3 #kg/m\n",
"mu_d = 2.333e-3 #kg/m\n",
"mu_a = 4.466e-3 #kg/m\n",
"mu_e2 = 6.790e-3 #kg/m\n",
"T_e = 7.28*9.81 #N\n",
"T_b = 7.22*9.81 #N\n",
"T_g = 7.32*9.81 #N\n",
"T_d = 8.42*9.81 #N\n",
"T_a = 9.03*9.81 #N\n",
"T_e2 = 7.71*9.81 #N\n",
"\n",
"E = 10e9 #Pa\n",
"A = 0.02*0.04 #m^2\n",
"I = ((0.04*0.02**3)/12) #m^4\n",
"\n",
"\n",
"bridge_height = 0.004 #m\n",
"\n",
"M_tip = (T_e + T_b + T_g +T_d + T_a + T_e2)*(bridge_height)\n",
"\n",
"#Solving analytically by integrating and applying the initial conditions, we get w = (M/EI)*x^2\n",
"x_anal = np.linspace(0, 0.64, 1000)\n",
"w_anal = (M_tip/(2*E*I))*x_anal**2\n",
"\n",
"#Using finite difference approximation with 6 sections to show concept\n",
"N12 = 6 ##Can be changed to show convergence\n",
"h12 = L/N12\n",
"A12=np.diag(np.ones(N12)*6)\\\n",
"+np.diag(np.ones(N12-1)*-4,-1)\\\n",
"+np.diag(np.ones(N12-1)*-4,1)\\\n",
"+np.diag(np.ones(N12-2),-2)\\\n",
"+np.diag(np.ones(N12-2),2)\n",
"A12[0,0]+=1\n",
"A12[-2,-2]+=-1\n",
"A12[-2,-1]+=2\n",
"A12[-1,-3]+=1\n",
"A12[-1,-2]+=0 \n",
"A12[-1,-1]+=-4\n",
"\n",
"b12=-np.zeros(N12)\n",
"b12[-2] = (-M_tip*(h12**2)/(E*I))\n",
"b12[-1] = (2*M_tip*(h12**2)/(E*I))\n",
"\n",
"w_num12 = np.linalg.solve(A12,b12)\n",
"x_num12 = np.arange(0,L+h12,h12)\n",
"\n",
"print('Sample A matrix\\n', A12, '\\n')\n",
"\n",
"print('Sample b matrix\\n', b12)\n",
"\n",
"\n",
"plt.figure(figsize = (10,6))\n",
"plt.plot(x_num12, np.block([0,w_num12*1000]), 's', label = 'Finite Difference Approx. - 6 Steps')\n",
"plt.title('Showing Finite Difference Approximation for Beam Deflection')\n",
"plt.ylabel('Deflection (mm)')\n",
"plt.xlabel('Beam Location (m)')\n",
"plt.legend(bbox_to_anchor=(1,0.5), loc = 'center left');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"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": 173,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## Function to craete finite difference solution for beam deflection using n divisions. \n",
"\n",
"def num(nodes):\n",
" '''Function takes in number of nodes desired as a parameter and returns a finite difference solution of \n",
" that many nodes:\n",
" Arguments:\n",
" nodes = number of divisions desired\n",
" Returns:\n",
" plot of numerical solution for nodes number of nodes across length of beam'''\n",
" N12 = nodes ##Can be changed to show convergence\n",
" h12 = L/N12\n",
" A12=np.diag(np.ones(N12)*6)\\\n",
" +np.diag(np.ones(N12-1)*-4,-1)\\\n",
" +np.diag(np.ones(N12-1)*-4,1)\\\n",
" +np.diag(np.ones(N12-2),-2)\\\n",
" +np.diag(np.ones(N12-2),2)\n",
" A12[0,0]+=1\n",
" A12[-2,-2]+=-1\n",
" A12[-2,-1]+=2\n",
" A12[-1,-3]+=1\n",
" A12[-1,-2]+=0 \n",
" A12[-1,-1]+=-4\n",
" \n",
" b12=-np.zeros(N12)\n",
" b12[-2] = (-M_tip*(h12**2)/(E*I))\n",
" b12[-1] = (2*M_tip*(h12**2)/(E*I))\n",
" \n",
" w_num12 = np.linalg.solve(A12,b12)\n",
" x_num12 = np.arange(0,L+h12,h12)\n",
" \n",
" return plt.plot(x_num12, np.block([0,w_num12*1000]), 'o',markersize = 14,label = 'Finite Difference Approx. - {} Steps'.format(nodes))\n",
"\n",
" \n",
"plt.figure(figsize = (16,12))\n",
"num(6) # 6 node finite difference approximation\n",
"num(25) # 25 node finite difference approximation\n",
"num(45) # 45 node finite difference approximation\n",
"plt.title('Showing Finite Difference Approximation for Beam Deflection')\n",
"plt.ylabel('Deflection (mm)')\n",
"plt.xlabel('Beam Location (m)')\n",
"plt.plot(x_anal, w_anal*1000, label = 'Analytical Solution Curve')\n",
"plt.legend(bbox_to_anchor=(1,0.5), loc = 'center left');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As we see in the above plot, the greater number of divisions (e.g. decreasing the size of h) causes the solutions to follow even closer to the derived analytical solution. Below, we show taking this to \"infinity\" by choosing a very large number of nodes (very small h), which will cause the finite diffeerence to practically cover the entirety of the analytical solution. "
]
},
{
"cell_type": "code",
"execution_count": 174,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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6I+lwf9ku8oLYTtKfItZrb9DcSTovJH2wWoKEKXkB81bXEEl3+3ne7OR5MVUR18Oc1yz2GqSYoHk+Xouc43VBRBnZa8FbnTwWwcDtDhF5zg/kaRVYk3f9uy9wzuwRc140n1OdnRQImqv1/fUT8n7YWuTn2aTAD44Rx65T19F21LNSLT8EXdTGsX9fIT8cSDotkCcl6XttvG8u7eQx7UzQPNjq/RM550NX74ftaUUemSdPdbg1cM5+NeY4JEOWRX7uyMkX99ns6MD+Rf1AeE0gz5dy6xVIc5KODVk/Ie9fO07SE505d5iYmJiYmJiYijkVvQJMeXwxpWMV3bWGk9cy5QcKCar66y9TS/AmNMAub8C7bHm5ge0b/OWNCgm8BvI9r/DAd1+1dE9wQmB5lby/6jt5AfCN/peMIYE8/y9Qr+1yyh0RSKsuwH5nA+IbJA2IWH9recE/p64HzduaLglZt71B88iWQGppCXhzSFo+gubB1rn7xOTrFziWX+7gMexs0Dz4T4Jtc9K6I2je5WOjzYPmY2PKGBXI16obpEA+U0vr5ikR54NTdNcBCbW0Nr8wJ22PwPqtgkFtvFbZbppWKOJa5+c71M/XFPW+bce2su+Jf4WkXaWWwFtU9xjB49Tqx6hAvuzf3t9TTlBcmwfNR0Ws38c/Hk45PxLkvCdCW8wG8mb/dbNR0qCY8yIbTHo2Ik+lpH/6ed6VtJ1agn8rFNJqtj3vJ23e0jy0KwBt3vLxkIg8RwbytOpKrB3nxYDA+mGBynwEzbv8WgSO12sxx+uYwL6Ensdt7EN7guZ1fvo/Y8rZTl5Q16n1PxSC58UjHa1jyLba0wWGk9cCPirg2uXraDvrmv1h5PE2jv0lEesPDOR5RSGNHXLeN3/t5DHtTNA82P3N2MDyfNwPuxo071Id/OOe/XH3ti4cz64Ezf/ip72liB/R5fXVv9rPd39OWvDe0er8C+T7vlquVXTRwsTExMTExFRWEwOB9iDOud9J2lle8PxX8gIHQR+T97f7v5lZv5ii5jrnmiLS/hd4PjwnLTsw20Ln3KqY8u/zH/c0s20C9f9I0jP+bHUg//7yAuovO+eWyQuumLy/rion//+cc+/GbDtOZ/f7QP9xoXNuXdjKzrkP5P3VuNT9OSYtewxy9z9fsoPnrZRUb2ZbhU3yWvEu8fOOK1BdcgUHwnLdtM2gfB6bFc65xe3YVlrS0zHb2lJeC7K4bX2oiPPef6+94s/mnlOfDzyvjalrXP3/LqlPTP3r/HwV8v4l0yFmNk5eNxiSd73Ndaf/mJD3T6C2PBiTdr//mO02I8yLzhu4thXn3CZ5rdCllutVmD/F1rDlGj/fObcmYltOLdf4vS1kEEnnXErSt+X1Kz9cXtcG2QHzJjvnVrZRj7bMdc5lItKy59yH8oLXcXmkiOudme1mZjPMbLE/6F1TdlA8eT8GZY3uUM3bLy+vhe+vMccr7t7XZWY2WC3H6N6ofP59/R/+7MExRf4xT1VrjwMkHWmBwWoD8nId9QdXPMq8gZNf9QdXdIFz7To/a1vn2aNhC51za+V1DyV575uo+1vUtbqQou67pfBZoat1OFjej5lSx+9xXWZmFWq5FzzkX5Nbcc5tVMu9o9XgywHt+ezYV14DEgAAgLKRLHYFkF9+4Pkef5KZDZT34fzb8lqMVcj74HuFvH5/w7wTs4kPA89zA+8f9x//20Y1X/IfTV7/j+8H0hZK+py8VqBZ2ecLAo/V/vL7cvIsbGPbcTq73yP8x/8pXp28gee66nXn3Ig2c3Wck/cX4ijZYxD3g0tXZL/0D5X3V/D2GFKguuTKftFz2vx87S75PDa5P6ZFbSsprxVwV7a1MuaHKCn6nNrFf1zjnHuznXXIytb/KH9qj86cRyf4j2l53Xlsxjn3opk9L69f1xPk9V8cZbVzbnVM+suB5x9XyzU0qC5kWVgZQ8ysn3Puw5A8bZ0bHb3GV8jr67tVfudcvZlNlddvbvb4X++ciwu+tFfctXyj/xh3bm4MPN8iN9HMzpQ3aHR7PkMVKkiUt9dCnb/35cPHA8/bsy+H5KyTq61zuCOanHObvcZmVimvC6iJkn4s6TxJB5rZ5/0AY1aXr6NmtqW8H9MmhGffTFvnWXveE3H1zOZp9X4ooOA+rQ08L4XPCl2twy6B58/npUYdM1BS9ke09l5D4u4dHbmGrI3KCAAAUGpoad7DOefWOuceds59U96AjtnWOqeYWVXEanFBriDLmc9+AF/fxnrBLxi5Ld+ygfERZjbCf54bEF8YXO635hmbs35ndHa/t/QfN7SxXlvHpdgyMa3MgnL3P186E1wKa+FXCLv6jytjWmQWUj6PTdgX3kJtq7PvqQH+Y3uDEWHrdkSHziMzS0r6pj/7rKSPmdk+uZNaWjLv5c9HaevaEEyPai2cjzLaOjey17quXOODntXm58hdbZTbXu057zp1bprZZ+UN2JeU10L+O5L2ljdw3wB5+zsosEqhGifk87Xo7Ps0H4J1au++xJ1TbZ3DXeKcSznnXnPOXSOvIYLktTi/ICdrPq6j16qli5Xb5Q08O1LeQI39/Wmqn7et8yxf74lC3f/DZO+7GXkturNK4bNCV+sQvE8V47NhZ953uesFFfMaAgAAUDC0NO9FnHMPmdmf5H3x2kLSGHlf+vOlQdI28gbLihNMzw2KPSWvX/O+kqrN7G55f9t3agmWPy2v1dNuZjZcXtcK2XN5obrfBnlfgLZsI19bx6W3y35xe9o5d0BRaxJgZtvL+0eEJD1ZpGp057HJbmu5c267Am8rSnuCY1E2yHuvXemcuzB/VdrMl9TSavAzkp5rxzonKLpFYVeumfksoy3ZY9vlbfldWvxGXvc1WXPM7NP+P6ZK1Rn+Y72kA3JaF0uSzKw7/gGTt9eiyIJ1au++lMR+OOf+amZvyLs/fEPSJYHkLl1H/cYA2X+zXO6cmxaRrztbfncbv1HHvv7sv51zwUYJpfBZoat1yD3vu/uc7sz7Lnc9AACAHo+W5r1P8G/9+f6r9TL/cfe4TPIG+ZO8QPgbwQTnXKO8oLjktSQ/UN5AoC9l+0n3++fNBi+r1dIS/WXn3IpO1r0rXvcfd43NVbi+bXuK7N/q9/D/Al8qvhN4PrdIdejOY5Pd1nD/R6liqPcfB5nZjh1cN1v/DvdT3gEntJ2llW+bWSIibbDft3OUYD/mr0fkGdPG9rNlrI74e317LPMf23uNz0iK6l7nF36+JnmtdJsk7Slv3I1Slv3HwINhAXPfXt1Qj2X+Yz5ei2IKns/t3ZdlhalKp2S7NMvtMqar19Hd1dLn9W9j8nXHuVYMx6olWJt73y2FzwpdrUN94Hncv5AKZa2k7Bg87X3frerCvQMAAKAsETTvfXYIPI/rg7Azsl0RHNJGAOho//FF51xY/9AL/cdqtQzwmdvtSnb+0ECehSqO7OBkh0YNtGZmA7T54Ka9SXCAqaigoST91X/sr5ZzpKjMbBdJ5/uzqyXdUaSqdOex+WvgeU2BtxVlXuD5iR1cN1v/Q80sru/jTvEHLz7Cn/2Vc87iJknf8vMOk3R4TNFHxqR93X9co837Nw/a08xGRdS5T6DO/wjL007Za/x4f7yMsG2ZWvqS/7dzrlXLRDP7sqQp/uxlzrmr5I2zIUlTzSwfYz8USrZbs7hr2fFtlJG9JsaV0Za8vBbF5vfln+2PP3IMAj/wnB2IMGoA12LY3n/M7eKiq9fRYPd5oeeJ/7niq50ou6SZ2SBJ0/3ZTfK6Qwoqhc8KXa3D4/L2Ter4PU7q4jXE72Yu2/jkq36XY634/wjK3jtK6X0HAADQLQia9wBmtouZTfe/aMTl20ctwZelzrmoFouddZv/WCXpmog6nKqWVjW3RJSTDYjvpJYWnQtz8mTnv6SWv/B2pT/zrviV/9hP0qURea5Q9w6gVUrWBJ5/LCbfn9USEJxhZiPjCjWzTxSylZn/fpmrli5Czi9iK6tuOzbOuZfUEhCYZmb7t7GtYWaW18EOnXP/VUvg/EIzGxuVN+TL/g3yghF9JN3pD6YXycw6+g+Qb6oloBXXAjTrYbUE1OJaqF8c9mOjmX1e0tf82Tvb6FP/GjMLu69PkzdgneT1jdxZ2Wt8X0lXR+Q5Qy2tX1td481smKQ5/uzTarlm/kTSM/L6vL29m7o46YxsC9Mv+j9GbMbMDlfb/0R4z3+Mux62pcuvRQnJ7st+ZtYqgOgH/6+T1w2bk3RrN9Ytkpl9TS1B82eCaXm4jgYHNP1aSH6Td60r1ECzReGPZTNP3qC1ktc1zVs52Urhs0KX6uA3GLnTn63xf0iMWjcsoJ3Pa8gOkn4UkedSSdn7UilfQwAAAAqCoHnPsIW8D7xvm9lvzex4M9vdzLY1s8FmNs7MfiqvZUt2IKKoD8id5px7Xi0fqo83s9+b2f5mNsjMxpjZlZJm+enPS7o5oqhsn+WS95dnJ+mxnDz/lNen6w5qaWmTm6dbOOeelHS/P3u2md1mZnv7+72Pmc2RF7x4NbqUnstv3bjEnz3LzD5pZv3MLBn8MugHA0+Q16f9MEmLzOwi/xgOMrMh/nH9jpk9Immp2u5HPk7SzLYKTMPNbE8zO9HM7pe0WNIn5J1/P3HOFauVeTGOzanyWtb3k7TQzH5uZvv515Nt/evLceaNOfC6vOOUb6dJ+sCvw2Nm9lP/3BloZtuZ2Xgzu1rSn4Ir+T8GnufPfk7Sc2Z2ipmNMrNt/HUPNLPvm9m/JP2ug/XKBkRXqx3d9fg/tDzkz37Nbx2aa6284Nffzexr/uu5k5l9T9KD8gLJqyVdFrOpZfJaBD5iZgf458UeZjZT0kV+ngXygvid4pxbpJage42Z3eufF4PMbDczu0rS9X76YoUHN2+XF8BvkHSccy7tl52WdJy8HxiGqyWwXmqy58sYSQ/759Jg/x53ibzXui5ybc9i//EQMzvKP35Jf2rXQHl5ei1KxQ2S/us/v8XMLvOP5yAzO0D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\n",
"text/plain": [
"<Figure size 1152x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (16,12))\n",
"plt.title('Showing Finite Difference Approximation for Beam Deflection')\n",
"plt.ylabel('Deflection (mm)')\n",
"plt.xlabel('Beam Location (m)')\n",
"num(1000)\n",
"plt.plot(x_anal, w_anal*1000, label = 'Analytical Solution Curve')\n",
"plt.legend(bbox_to_anchor=(1,0.5), loc = 'center left');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The solution has fully converged on 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": 175,
"metadata": {},
"outputs": [],
"source": [
"#Defining given constants\n",
"L_p2 = 0.64 #m\n",
"mu_p2 = 1.14e-3 #g/m\n",
"T_p2 = 71.81 #N"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"6 Nodes:"
]
},
{
"cell_type": "code",
"execution_count": 176,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First three natural frequencies of 6-element string (Hz)\n",
"\tFirst: 194.4371\n",
"\tSecond: 379.1243\n",
"\tThird: 544.8006\n"
]
}
],
"source": [
"N6=6 # 6-node guitar string\n",
"dx6=L_p2/(N6+1)\n",
"\n",
"k6 = T_p2/dx6**2/mu_p2\n",
"\n",
"A6 = k6*(np.diag(np.ones(N6)*2)\\\n",
" -np.diag(np.ones(N6-1),-1)\\\n",
" -np.diag(np.ones(N6-1),1))\n",
"\n",
"e6,v6=linalg.eig(A6)\n",
"isort6 = np.argsort(e6.real)\n",
"e6=e6[isort6]\n",
"v6=v6[:,isort6]\n",
"\n",
"first6 = e6.real[0]**0.5/2/np.pi\n",
"second6 = e6.real[1]**0.5/2/np.pi\n",
"third6 = e6.real[2]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of {}-element string (Hz)'.format(N6))\n",
"print('\\tFirst: {0:.4f}'.format(first6))\n",
"print('\\tSecond: {0:.4f}'.format(second6))\n",
"print('\\tThird: {0:.4f}'.format(third6))"
]
},
{
"cell_type": "code",
"execution_count": 177,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"##Plotting mode shapes\n",
"y6modes=np.pad(v6,((1,1),(0,0))) # add a 0 to the first row and last row, but add nothing to columns \n",
"x6 = np.arange(0,8,1)\n",
"plt.figure(figsize = (10,6))\n",
"plt.plot(x6, y6modes[:,0],label = 'First Mode')\n",
"plt.plot(x6, y6modes[:,1],label = 'Second Mode')\n",
"plt.plot(x6, y6modes[:,2],label = 'Third Mode')\n",
"plt.title('First Three Mode Shapes for {}-Node Guitar String\\n'.format(N6), fontsize = 18)\n",
"plt.xlabel('Node', fontsize = 14)\n",
"plt.ylabel('Displacement (m)', fontsize = 14)\n",
"plt.legend(loc='center left',bbox_to_anchor=(1,0.5), fontsize = 14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"30 Nodes"
]
},
{
"cell_type": "code",
"execution_count": 178,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First three natural frequencies of 30-element string (Hz)\n",
"\tFirst: 195.9946\n",
"\tSecond: 391.4862\n",
"\tThird: 585.9728\n"
]
}
],
"source": [
"N30=30 # 30-node guitar string\n",
"dx30=L_p2/(N30+1)\n",
"\n",
"k30 = T_p2/dx30**2/mu_p2\n",
"\n",
"A30 = k30*(np.diag(np.ones(N30)*2)\\\n",
" -np.diag(np.ones(N30-1),-1)\\\n",
" -np.diag(np.ones(N30-1),1))\n",
"\n",
"e30,v30=linalg.eig(A30)\n",
"isort30 = np.argsort(e30.real)\n",
"e30=e30[isort30]\n",
"v30=v30[:,isort30]\n",
"\n",
"first30 = e30.real[0]**0.5/2/np.pi\n",
"second30 = e30.real[1]**0.5/2/np.pi\n",
"third30 = e30.real[2]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of {}-element string (Hz)'.format(N30))\n",
"print('\\tFirst: {0:.4f}'.format(first30))\n",
"print('\\tSecond: {0:.4f}'.format(second30))\n",
"print('\\tThird: {0:.4f}'.format(third30))"
]
},
{
"cell_type": "code",
"execution_count": 179,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"##Plotting mode shapes\n",
"y30modes=np.pad(v30,((1,1),(0,0))) # add a 0 to the first row and last row, but add nothing to columns \n",
"x30 = np.arange(0,N30 + 2,1)\n",
"plt.figure(figsize = (10,6))\n",
"plt.plot(x30, y30modes[:,0],label = 'First Mode')\n",
"plt.plot(x30, -y30modes[:,1],label = 'Second Mode')\n",
"plt.plot(x30, y30modes[:,2],label = 'Third Mode')\n",
"plt.title('First Three Mode Shapes for {}-Node Guitar String\\n'.format(N30), fontsize = 18)\n",
"plt.xlabel('Node', fontsize = 14)\n",
"plt.ylabel('Displacement (m)', fontsize = 14)\n",
"plt.legend(loc='center left',bbox_to_anchor=(1,0.5), fontsize = 14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"45 Nodes"
]
},
{
"cell_type": "code",
"execution_count": 180,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First three natural frequencies of 45-element string (Hz)\n",
"\tFirst: 196.0404\n",
"\tSecond: 391.8523\n",
"\tThird: 587.2073\n"
]
}
],
"source": [
"N45=45 # 45-node guitar string\n",
"dx45=L_p2/(N45+1)\n",
"\n",
"k45 = T_p2/dx45**2/mu_p2\n",
"\n",
"A45 = k45*(np.diag(np.ones(N45)*2)\\\n",
" -np.diag(np.ones(N45-1),-1)\\\n",
" -np.diag(np.ones(N45-1),1))\n",
"\n",
"e45,v45=linalg.eig(A45)\n",
"isort45 = np.argsort(e45.real)\n",
"e45=e45[isort45]\n",
"v45=v45[:,isort45]\n",
"\n",
"first45 = e45.real[0]**0.5/2/np.pi\n",
"second45 = e45.real[1]**0.5/2/np.pi\n",
"Third45 = e45.real[2]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of {}-element string (Hz)'.format(N45))\n",
"print('\\tFirst: {0:.4f}'.format(first45))\n",
"print('\\tSecond: {0:.4f}'.format(second45))\n",
"print('\\tThird: {0:.4f}'.format(Third45))"
]
},
{
"cell_type": "code",
"execution_count": 181,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"##Plotting mode shapes\n",
"y45modes=np.pad(v45,((1,1),(0,0))) # add a 0 to the first row and last row, but add nothing to columns \n",
"x45 = np.arange(0,N45 + 2,1)\n",
"plt.figure(figsize = (10,6))\n",
"plt.plot(x45, -y45modes[:,0],label = 'First Mode')\n",
"plt.plot(x45, y45modes[:,1],label = 'Second Mode')\n",
"plt.plot(x45, -y45modes[:,2],label = 'Third Mode')\n",
"plt.title('First Three Mode Shapes for {}-Node Guitar String\\n'.format(N45), fontsize = 18)\n",
"plt.xlabel('Node', fontsize = 14)\n",
"plt.ylabel('Displacement (m)', fontsize = 14)\n",
"plt.legend(loc='center left',bbox_to_anchor=(1,0.5), fontsize = 14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"60 Nodes"
]
},
{
"cell_type": "code",
"execution_count": 182,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First three natural frequencies of 60-element string (Hz)\n",
"\tFirst: 196.0569\n",
"\tSecond: 391.9837\n",
"\tThird: 587.6507\n"
]
}
],
"source": [
"N60=60 # 60-node guitar string\n",
"dx60=L_p2/(N60+1)\n",
"\n",
"k60 = T_p2/dx60**2/mu_p2\n",
"\n",
"A60 = k60*(np.diag(np.ones(N60)*2)\\\n",
" -np.diag(np.ones(N60-1),-1)\\\n",
" -np.diag(np.ones(N60-1),1))\n",
"\n",
"e60,v60=linalg.eig(A60)\n",
"isort60 = np.argsort(e60.real)\n",
"e60=e60[isort60]\n",
"v60=v60[:,isort60]\n",
"\n",
"first60 = e60.real[0]**0.5/2/np.pi\n",
"second60 = e60.real[1]**0.5/2/np.pi\n",
"Third60 = e60.real[2]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of {}-element string (Hz)'.format(N60))\n",
"print('\\tFirst: {0:.4f}'.format(first60))\n",
"print('\\tSecond: {0:.4f}'.format(second60))\n",
"print('\\tThird: {0:.4f}'.format(Third60))"
]
},
{
"cell_type": "code",
"execution_count": 183,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"##Plotting mode shapes\n",
"y60modes=np.pad(v60,((1,1),(0,0))) # add a 0 to the first row and last row, but add nothing to columns \n",
"x60 = np.arange(0,N60 + 2,1)\n",
"plt.figure(figsize = (10,6))\n",
"plt.plot(x60, y60modes[:,0],label = 'First Mode')\n",
"plt.plot(x60, -y60modes[:,1],label = 'Second Mode')\n",
"plt.plot(x60, y60modes[:,2],label = 'Third Mode')\n",
"plt.title('First Three Mode Shapes for {}-Node Guitar String\\n'.format(N60), fontsize = 18)\n",
"plt.xlabel('Node', fontsize = 14)\n",
"plt.ylabel('Displacement (m)', fontsize = 14)\n",
"plt.legend(loc='center left',bbox_to_anchor=(1,0.5), fontsize = 14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By observing the above plots, we see that in the transition from 6 to 30 nodes, all three vibrationmodes experience a significant change in the calculated natural frequencies. From 30 to 45 nodes, we see that there is little change in the first and second frequencies from one to the next, suggesting that these values may have converged, but the third value has still changed drastically since the previous iteration. Finally, from 45 to 60 nodes, we see that the third vibration mode has not changed drastically (the change is less than one hertz). Similarly, modes one and two have not changed (within one hertz) at this point so we could say that the minimum node count for convergence is 45. That being said, we will use the 60 node case moving forward to ensure that we are well within the range of convergence since this does not require a noticable increase in evaluation time for our purposes. __Node Convergence to be used: 60 Nodes__"
]
},
{
"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": 184,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First three natural frequencies of first E string (Hz)\n",
"\tFirst: 329.6629\n",
"\tSecond: 659.1072\n",
"\tThird: 988.1144\n",
"\n",
"First three natural frequencies of B string (Hz)\n",
"\tFirst: 247.0748\n",
"\tSecond: 493.9858\n",
"\tThird: 740.5693\n",
"\n",
"First three natural frequencies of G string (Hz)\n",
"\tFirst: 196.0558\n",
"\tSecond: 391.9816\n",
"\tThird: 587.6474\n",
"\n",
"First three natural frequencies of D string (Hz)\n",
"\tFirst: 146.9857\n",
"\tSecond: 293.8740\n",
"\tThird: 440.5674\n",
"\n",
"First three natural frequencies of A string (Hz)\n",
"\tFirst: 110.0173\n",
"\tSecond: 219.9617\n",
"\tThird: 329.7602\n",
"\n",
"First three natural frequencies of second E string (Hz)\n",
"\tFirst: 82.4459\n",
"\tSecond: 164.8370\n",
"\tThird: 247.1189\n"
]
}
],
"source": [
"N60=60 # 60-node guitar string\n",
"L = L_p2 = 0.64 #all strings are the same length\n",
"dx60=L/(N60+1)\n",
"\n",
"#First E string \n",
"k_e1 = T_e/dx60**2/mu_e\n",
"\n",
"A_e1 = k_e1*(np.diag(np.ones(N60)*2)\\\n",
" -np.diag(np.ones(N60-1),-1)\\\n",
" -np.diag(np.ones(N60-1),1))\n",
"\n",
"e_e1,v_e1=linalg.eig(A_e1)\n",
"isort_e1 = np.argsort(e_e1.real)\n",
"e_e1=e_e1[isort_e1]\n",
"v_e1=v_e1[:,isort_e1]\n",
"\n",
"first_e1 = e_e1.real[0]**0.5/2/np.pi\n",
"second_e1 = e_e1.real[1]**0.5/2/np.pi\n",
"Third_e1 = e_e1.real[2]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of first E string (Hz)')\n",
"print('\\tFirst: {0:.4f}'.format(first_e1))\n",
"print('\\tSecond: {0:.4f}'.format(second_e1))\n",
"print('\\tThird: {0:.4f}'.format(Third_e1))\n",
"print()\n",
"\n",
"#B String \n",
"k_b = T_b/dx60**2/mu_b\n",
"\n",
"A_b = k_b*(np.diag(np.ones(N60)*2)\\\n",
" -np.diag(np.ones(N60-1),-1)\\\n",
" -np.diag(np.ones(N60-1),1))\n",
"\n",
"e_b,v_b=linalg.eig(A_b)\n",
"isort_b = np.argsort(e_b.real)\n",
"e_b=e_b[isort_b]\n",
"v_b=v_b[:,isort_b]\n",
"\n",
"first_b = e_b.real[0]**0.5/2/np.pi\n",
"second_b = e_b.real[1]**0.5/2/np.pi\n",
"Third_b = e_b.real[2]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of B string (Hz)')\n",
"print('\\tFirst: {0:.4f}'.format(first_b))\n",
"print('\\tSecond: {0:.4f}'.format(second_b))\n",
"print('\\tThird: {0:.4f}'.format(Third_b))\n",
"print()\n",
"\n",
"#G String \n",
"k_g = T_g/dx60**2/mu_g\n",
"\n",
"A_g = k_g*(np.diag(np.ones(N60)*2)\\\n",
" -np.diag(np.ones(N60-1),-1)\\\n",
" -np.diag(np.ones(N60-1),1))\n",
"\n",
"e_g,v_g=linalg.eig(A_g)\n",
"isort_g = np.argsort(e_g.real)\n",
"e_g=e_g[isort_g]\n",
"v_g=v_g[:,isort_g]\n",
"\n",
"first_g = e_g.real[0]**0.5/2/np.pi\n",
"second_g = e_g.real[1]**0.5/2/np.pi\n",
"Third_g = e_g.real[2]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of G string (Hz)')\n",
"print('\\tFirst: {0:.4f}'.format(first_g))\n",
"print('\\tSecond: {0:.4f}'.format(second_g))\n",
"print('\\tThird: {0:.4f}'.format(Third_g))\n",
"print()\n",
"\n",
"#D String \n",
"k_d = T_d/dx60**2/mu_d\n",
"\n",
"A_d = k_d*(np.diag(np.ones(N60)*2)\\\n",
" -np.diag(np.ones(N60-1),-1)\\\n",
" -np.diag(np.ones(N60-1),1))\n",
"\n",
"e_d,v_d=linalg.eig(A_d)\n",
"isort_d = np.argsort(e_d.real)\n",
"e_d=e_d[isort_d]\n",
"v_d=v_d[:,isort_d]\n",
"\n",
"first_d = e_d.real[0]**0.5/2/np.pi\n",
"second_d = e_d.real[1]**0.5/2/np.pi\n",
"Third_d = e_d.real[2]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of D string (Hz)')\n",
"print('\\tFirst: {0:.4f}'.format(first_d))\n",
"print('\\tSecond: {0:.4f}'.format(second_d))\n",
"print('\\tThird: {0:.4f}'.format(Third_d))\n",
"print()\n",
"\n",
"#A String \n",
"k_a = T_a/dx60**2/mu_a\n",
"\n",
"A_a = k_a*(np.diag(np.ones(N60)*2)\\\n",
" -np.diag(np.ones(N60-1),-1)\\\n",
" -np.diag(np.ones(N60-1),1))\n",
"\n",
"e_a,v_a=linalg.eig(A_a)\n",
"isort_a = np.argsort(e_a.real)\n",
"e_a=e_a[isort_a]\n",
"v_a=v_a[:,isort_a]\n",
"\n",
"first_a = e_a.real[0]**0.5/2/np.pi\n",
"second_a = e_a.real[1]**0.5/2/np.pi\n",
"Third_a = e_a.real[2]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of A string (Hz)')\n",
"print('\\tFirst: {0:.4f}'.format(first_a))\n",
"print('\\tSecond: {0:.4f}'.format(second_a))\n",
"print('\\tThird: {0:.4f}'.format(Third_a))\n",
"print()\n",
"\n",
"#E2 String \n",
"k_e2 = T_e2/dx60**2/mu_e2\n",
"\n",
"A_e2 = k_e2*(np.diag(np.ones(N60)*2)\\\n",
" -np.diag(np.ones(N60-1),-1)\\\n",
" -np.diag(np.ones(N60-1),1))\n",
"\n",
"e_e2,v_e2=linalg.eig(A_e2)\n",
"isort_e2 = np.argsort(e_e2.real)\n",
"e_e2=e_e2[isort_e2]\n",
"v_e2=v_e2[:,isort_e2]\n",
"\n",
"first_e2 = e_e2.real[0]**0.5/2/np.pi\n",
"second_e2 = e_e2.real[1]**0.5/2/np.pi\n",
"Third_e2 = e_e2.real[2]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of second E string (Hz)')\n",
"print('\\tFirst: {0:.4f}'.format(first_e2))\n",
"print('\\tSecond: {0:.4f}'.format(second_e2))\n",
"print('\\tThird: {0:.4f}'.format(Third_e2))"
]
},
{
"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": 185,
"metadata": {},
"outputs": [],
"source": [
"from IPython.display import Audio"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
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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": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"r=20000\n",
"tsig=np.arange(0,3,1/r)\n",
"Audio(data=100*np.sin(first_e1*2*np.pi*tsig)+100*np.sin(second_e1*2*np.pi*tsig)+100*np.sin(Third_e1*2*np.pi*tsig)+100*np.sin(first_b*2*np.pi*tsig)+100*np.sin(second_b*2*np.pi*tsig)+100*np.sin(Third_b*2*np.pi*tsig)+100*np.sin(first_g*2*np.pi*tsig)+100*np.sin(second_g*2*np.pi*tsig)+100*np.sin(Third_g*2*np.pi*tsig)+100*np.sin(first_d*2*np.pi*tsig)+100*np.sin(second_d*2*np.pi*tsig)+100*np.sin(Third_d*2*np.pi*tsig)+100*np.sin(first_a*2*np.pi*tsig)+100*np.sin(second_a*2*np.pi*tsig)+100*np.sin(Third_a*2*np.pi*tsig)+100*np.sin(first_e2*2*np.pi*tsig)+100*np.sin(second_e2*2*np.pi*tsig)+100*np.sin(Third_e2*2*np.pi*tsig),rate=r)"
]
}
],
"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",
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