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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": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy import linalg\n",
"from IPython.display import Audio"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"#part a\n",
"E =10e9\n",
"A =0.0008\n",
"I =0.04*0.02**3/12\n",
"h =0.004\n",
"L =0.64\n",
"g =9.8\n",
"Te =7.28*g ; Tb = 7.22*g ; Tg = 7.32*g ; Td = 8.41*g ; Ta = 9.03*g ; TE = 7.71*g\n",
"T =Te+Tb+Tg+Td+Ta+TE\n",
"M =T*h\n",
"\n",
"A =0 ; B =M/E/I ; C =0 ; D =0\n",
"\n",
"x=np.linspace(0,L,1000)\n",
"y = lambda x: M*x**2/(2*E*I)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The deflection at end of the guitar is: 1.414060032 mm\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 3\n",
"dx = L/N\n",
"A=np.diag(np.ones(N)*6)\\\n",
" +np.diag(np.ones(N-1)*-4,-1)\\\n",
" +np.diag(np.ones(N-1)*-4,1)\\\n",
" +np.diag(np.ones(N-2),-2)\\\n",
" +np.diag(np.ones(N-2),2)\n",
"A[0,0] += 1\n",
"A[N-2,N-1] += 2\n",
"A[N-1,N-2] += 2\n",
"A[N-2,N-2] -= 1\n",
"A[N-1,N-1] -= 5\n",
"b=np.zeros(N)\n",
"b[N-2] += -M*dx**2/E/I\n",
"b[N-1] += M*dx**2/E/I\n",
"\n",
"w=np.linalg.solve(A,b)\n",
"xnum=np.linspace(0,L,N+1)\n",
"\n",
"print('The deflection at end of the guitar is:',round(w[-1]*1000,10),'mm')\n",
"\n",
"plt.plot(xnum,np.block([0,w]),'or', markersize='7',label='Numerical') \n",
"plt.plot(x,y(x),'b',label='Analytical',lw=3)\n",
"plt.legend(prop={'size':15});"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The deflection at end of the guitar is: 1.414060032 mm\n"
]
},
{
"data": {
"image/png": 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hgVGjRrFgwQJeffVV0tLS6NixI4cyhpUaUxrNm8eXya0ZyuuZRdEs5QXucYs15PpDrVRT1QJfwOXA0mzbDwIP5qrzCjAo2/YWoL7Htv8BonKVNQS2Ah0Li09VadOmjRZk06ZNecrcZLmBfRXVkCFDNCIiQpOTk1VVtVevXtq4cWNNT09XVdU33nhDAX3ttdcy2+zbt09DQkJ0ypQpfo+ZlpamKSkpGh0drUOGDMksHzdunNasWTNze+vWrQroypUrM8vGjh2rdevW1ZSUFFVVffHFFxU/J5b7WFOnTlUR0fXr13s679TUVD127JhWq1ZN33rrrczyLl26aL9+/TwdI4O/fwvGFJef/z5R6/C/zP/jLfleD1LdbYioPvZYoEPMAYjTfL5XvVw5xALNRaSJiFQEBgILc9VZCAz29VrqABxS1d0e2+YgIhHAIl8S8f+nbDmUnJzMvHnz6Nu3LxUrVgRg0KBB/Pzzz6xZsyZH3ejo6Myfa9asSZ06dXJcOSQkJHDbbbcRGRlJaGgoYWFhLFu2jK1bt+b7+c2bN6dz5868+eabgPuj4u233+bWW28lNLRoCwquXLmSyy67jEsvvTTfOmvWrKF79+7UrFmT0NBQqlSpwtGjRwuM0ZhAOnIErps9mD24uTBqsZd/cz01OOwqVK3qVo8MEoUmB1VNBUYBS4HNwGxV3Sgid4pIxgqni4F4YBvwKvCXgtoCiEhfEUnAXV0sEpGM7iyjgHOBsSLyje9Vp3hON3gtWbKEgwcP0qtXLw4ePMjBgwfp2rUrlSpVynNrKSIiIsd2xYoVM9doTk9Pp3fv3nzxxRc8+uijrFq1itjYWHr27JnvOs4Zhg0bxgcffMCRI0dYuXIlO3bsYMiQIUU+l/3791O/fv189//yyy9ER0ejqrzyyiusXr2a2NhY6tSpU2iMxgRCWpob7fx9gvu/V5Fk5tGXpvyUVSk01C0rHCQ8/cmnqotxCSB72dRsPyvgdyZyf2195fOAeX7KHwdO+9jBYFsALyMBDBgwIM++2bNn8/zzz3s6zrZt21i/fj1LliyhR48emeVJSUmFth0wYAB//etfmTNnDqtWraJ9+/a0bJm7V3PhatasWeDD5Y8//phjx46xYMECqlatCriH4r///nuRP8uYknDffbBoUdb2q1XuplOFbyFR3BVDaKhb4i2AywoXVdHuB5iAOHr0KB999BGDBg1i+PDhOfatX7+ev//976xatcrTsTKSQKVs8wPv2LGD1atXc/HFFxfYNjw8nEGDBjF58mR++OEHnnvuuRz7M253HT9+nMoF/Ce4+uqrmTNnDhs2bPD7mUlJSVSoUCHH7arZs2eTmrH6ujGlyLRpkP1vswcfhMFjn4d5nSE+3t1KiokJqsQAlhyCwoIFCzh27Bh333037du3z7GvY8eOjB8/npkzZ3LllVcWeqzzzz+fhg0bMnr0aB577DGOHDnCuHHjiIz01sN42LBhTJ06lfDwcAYOHJjn2AATJ07kqquuonr16rRo0SLPMQYPHszkyZOJjo7m4YcfpkWLFvz0009s3bqVCRMmcNVVV5GWlsaQIUMYNmwYGzdu5Jlnnslzu8yYQFu6FP7yl6ztmBjfnEkVwt3c3EHM5lYKAjNnzqR58+Z5EgNAWFgYN954I3PnziU5Oc9wkDwqVarE3LlzCQ0NpX///owdO5YHH3yQLl26eIolKiqKyMhIYmJiqJFrDoArr7yS++67j4kTJ9K+fXtGjPDbC5nKlSuzcuVKrr/+ev7v//6Pnj178tRTT9GgQQMALrroIt544w2++uorrrvuOmbMmMGcOXPyfJ4xgfTttzBggHveANC6Nbz9thsJXRaIBtvNdz+ioqI0Li4u3/2bN2/mggsuKMGIyq5NmzbRqlUrli9fztVXXx3ocIrM/i2Y4pCQAB06wM6dbvvss2HNGvD9fRM0RGSdqkb522e3lYwn+/fvZ8uWLYwdO5YLL7yQq66y+RBN+XT4sJtyOyMxVK/uFvAJtsRQmDJyAWROt3//+9906tSJ3bt3Z07TYUx5k5ICN94IGbPWhIa6Qc8XXhjYuE4HSw7Gk9tvv5309HQ2bdpkk+iZcknVPXzOPsHw9OkQhHdXPbHkYIwxHjzxhEsGGcaNg9tuC1w8p1u5SQ5l4cG7OTX2b8CcrBkz4J//zNoePNglh7KsXCSHsLAwTyOATdmWlJREWFhYoMMwQeazzyD7LDF/+AO8+iqU9cdu5SI51KlTh507d3Ls2DH767EcUlWOHTvGzp07qVOn3E/TZYrghx/cMp8nTrjtli3dA2jfZABlWrnoylq9enUAdu3aRUpKSoCjMYEQFhZG3bp1M/8tGFOY3buhZ084cMBt16vnuqyWl4H65SI5gEsQ9sVgjPHi0CGXGHzLtVOlCnz0EZxzTkDDKlHl4raSMcZ4lZwMffu66TEAQkJgzhwobz24LTkYY4xPerrriZR9kuPp06FXr8DFFCiWHIwxBjfI7W9/g9mzs8qeeAJuvz1gIQWUJQdjjAGefhomTcravusueOCBwMUTaJYcjDHl3ttv50wEAwa4BXzK+liGglhyMMaUax9/DMOGZW137eqSRUhIwEIqFTwlBxHpISJbRGSbiIzxs19EZJJv/wYRaV1YWxEZICIbRSRdRKJyHe9BX/0tInLNqZygMcbkJzYW+veHjBVoL74Y5s8PuhU9T4tCk4OIhACTgZ5AS2CQiOReVb4n0Nz3Gg5M8dD2eyAG+CzX57UEBgKtgB7Ay77jGGNMsfnxR9cLKTHRbTdqBEuWgC046Hi5cmgHbFPVeFU9AcwC+uSq0wd4W501QISI1C+orapuVtUtfj6vDzBLVZNV9Sdgm+84xhhzapKSYMYMdt73At2vOMq+fa74rLPcVNxlbcGeU+FlhHQk8Gu27QQg92LG/upEemzr7/PW+DlWDiIyHHeVQqNGjQo5pDGm3IuNheho9qXUoHviYnZQDYDwSml89FEI558f4PhKGS9XDv6e1+eevS6/Ol7ansznoarTVDVKVaNq165dyCGNMeVaUhJER3PkYCo9E+ewGXd3O4wTzA29icsvOx7gAEsfL8khATg723ZDYJfHOl7ansznGWOMd/PmcTwlhD4sII62AAjpvMOt9JClbqpVk4OX5BALNBeRJiJSEfeweGGuOguBwb5eSx2AQ6q622Pb3BYCA0Wkkog0wT3kXluEczLGmBxSt8YzMHE6q7gqs2wKf+YmZrsn0vHxAYyudCr0mYOqporIKGApEAK8rqobReRO3/6pwGKgF+7h8TFgSEFtAUSkL/AiUBtYJCLfqOo1vmPPBjYBqcBIVU0r1rM2xpQb6ekwbOXNLKBpZtkTjGEE09xG1arQtGk+rcsvKQuL30RFRWlcXFygwzDGlDKqcM89OafFuJ8neZJsw7UiItziDeVwcIOIrFPVKH/7ys16DsaY8uexx3ImhjsqvsWEsMfhmLgrhtBQWLasXCaGwlhyMMaUSZMmwbhxWdsDBsDU129EFoa5ZwxNm0JMjCWGfFhyMMaUOW+9BXffnbUdHQ3vvAMhlcLh5psDF1gQsYn3jDFlyvvvw9ChWduXX+56qlaqFLiYgpElB2NMmTF/Pvzxj66HEsAll8CiRe7xgikaSw7GmDLh44/hppsgzdfx/YIL4JNP4MwzAxtXsLLkYIwJeitXQt++cOKE2z73XFixAmxmnZNnycEYE9RWr4beveG4b3qkc85xiaF+/cDGFewsORhjglZcXM41GSIj3VWETdR86iw5GGOC0rffui6qhw+77Tp13BWDzYRRPCw5GGOCzqZN0L07HDjgts86C5YvhxYtAhtXWWLJwRgTVLZsgW7dYO9et12jhuuVdNFFgY2rrLHkYIwJGlu2wB/+4ObJA6hWzXVhbd06sHGVRZYcjDFBIXdiqFLFDXDr0CGwcZVVlhyMMaXe1q15E8OSJdC5c2DjKsssORhjSrWtW6FrV0sMJc2SgzGm1LLEEDiWHIwxpZK/W0mLF1tiKCmWHIwxpU5GYti1y21nJIYuXQIbV3niKTmISA8R2SIi20RkjJ/9IiKTfPs3iEjrwtqKyFki8omI/Oh7P9NXHiYib4nIdyKyWUQeLI4TNcaUcklJMGMGW++ezB86HMuRGBYtssRQ0gpNDiISAkwGegItgUEi0jJXtZ5Ac99rODDFQ9sxwApVbQ6s8G0DDAAqqepFQBtghIg0PsnzM8YEg9hYaNCAjXc8T+dJ/dh1oAoAVSqnsWiRe+5gSpaXK4d2wDZVjVfVE8AsoE+uOn2At9VZA0SISP1C2vYB3vL9/BZwg+9nBaqKSCgQDpwADp/c6RljSr2kJIiO5puD59A1aTG/UQ+AKiSyKKQPXTscD3CA5ZOX5BAJ/JptO8FX5qVOQW3rqupuAN97HV/5B0AisBv4BXhGVX/PHZSIDBeROBGJ25sxjt4YE3zmzWNt8iX8gVXswy3AcAaHWco1dJVP3RqfpsR5SQ7ip0w91vHSNrd2QBrQAGgCjBaRPPMsquo0VY1S1ajatqKHMUHr85Un6Ja0kIO4JdsiOMByutGJ1W4u7vj4AEdYPnlJDgnA2dm2GwK7PNYpqO1vvltP+N73+MpvBj5W1RRV3QOsBqI8xGmMCTIrVsA1797CEaoDUIu9rOIPtCPWVaha1ebgDhAvySEWaC4iTUSkIjAQWJirzkJgsK/XUgfgkO9WUUFtFwK3+X6+DVjg+/kX4CrfsaoCHYAfTvL8jDGl1JIlcO21cCw5FIB67OY/dOVSvs2qFBoKMTEBirB8Cy2sgqqmisgoYCkQAryuqhtF5E7f/qnAYqAXsA04BgwpqK3v0BOA2SIyDJcQBvjKJwNvAN/jbku9oaobiuNkjTGlw7x5cNNNkJLithvWOcGKpOs5T3+BRHFXDKGhsGwZVK4c2GDLKVEt7BFA6RcVFaVxcXGBDsMY48GsWXDLLZCW5rabNHG3l5rUS3JZIz7e3UqKibHEcJqJyDpV9XvbvtArB2OMKS6vvgojRkDG36TnnecSQ8OGAOFw882BDM9kY9NnGGNKxJNPwvDhWYmhVSv49NOMxGBKG0sOxpjTShXuvx/GZJt4p21b+M9/oF69gIVlCmG3lYwxp01amruN9NprWWVXXQXz58MZZwQuLlM4Sw7GmNMiORn++Ef48MOsshtugJkz7TlzMLDbSsaYYnf0KFx3Xc7EcPvtMGeOJYZgYcnBGFOs9u+Hbt1g+fKssr/9zd1aCrV7FUHDkoMxptjs3OnWXfjqq6yyxx+HZ5+FCvZtE1QsjxtjisXmzdCjB/zyi9sWgZdegr/8JbBxmZNjycEYc8pWr4brr4cDB9x2aCi89ZaNaQtmdqFnjDkl8+e7ZwwZiaFqVfj3vy0xBDtLDsaYkzZlCvTrB8d9i7XVqeNGPffoEdi4zKmz5GCMKTJV+Oc/3fOE9HRXdu658MUX0KZNYGMzxcOeORhjiiQlxc2R9OabWWVt28JHH7krB1M2WHIwxhQsyTeV9vbtHI1swYD3+/HxspDM3b16wezZ7lmDKTssORhj8hcbC9HRkJrKrqPVub7CR3ydnpUYhg6FV16xwW1lkT1zMMb4l5TkEsPBg2w42oT2rOHr9Msyd499MJXp0y0xlFWWHIwx/s2bB6mpLKEHHVlNAmcDEEIqr1T6K49eOBuRAMdoThvL+cYY/7Zv5+Wjg7mLSaTjbiVV5xBzGED0ieUQb0+fyzJPVw4i0kNEtojINhEZ42e/iMgk3/4NItK6sLYicpaIfCIiP/rez8y272IR+VJENorIdyJi8zgaU4LS0uDvXw5gJJMzE0MjdrCajkTziXv63LRpgKM0p1OhyUFEQoDJQE+gJTBIRFrmqtYTaO57DQemeGg7Blihqs2BFb5tRCQUeBe4U1VbAV2BlJM/RWNMUSQmQkwMPL/k/MyytqzlK9pzIRtdQWioq2TKLC9XDu2Abaoar6ongFlAn1x1+gBvq7MGiBCR+oW07QO85fv5LeAG38/RwAZV/RZAVferatpJnp8xpgh27YLOnWHhwqyymLCF/KfqddSTPVCtGkREwLJltjBDGeflmUMk8Gu27QSgvYc6kYW0rauquwFUdbeIZNzAPMAviLkAABa7SURBVA9QEVkK1AZmqepTuYMSkeG4qxQaNWrk4TSMMQVZtw769HHTbme47z6YMK47FRa8APHx7lZSTIwlhnLAS3Lw1x9BPdbx0tZfTJ2AtsAxYIWIrFPVFTkOojoNmAYQFRVV2DGNMQV4/30YMsT1XgUICYGXX3YjoSHcZtErh7zcVkoAXx82pyGwy2Odgtr+5rv1hO99T7Zjfaqq+1T1GLAYaI0xptilp8NDD8HAgVmJoUYNWLw4IzGY8spLcogFmotIExGpCAwEFuaqsxAY7Ou11AE45LtlVFDbhcBtvp9vAxb4fl4KXCwiVXwPp7sAm07y/Iwx+ThyxN0hGj8+q6xFC1i71o19M+VbobeVVDVVREbhvrRDgNdVdaOI3OnbPxX3130vYBvuVtCQgtr6Dj0BmC0iw4BfgAG+NgdE5DlcYlFgsaouKq4TNsbATz9B797w/fdZZT16wMyZ7nmzMaIa/Lfro6KiNC4uLtBhGBMUPv3UrcGwf39W2d//Dk895Z41mPLD9zw3yt8+mz7DmHLklVfcqm0ZiaFiRXjjDXj2WUsMJiebPsOYcuD4cbjrLpg+Pausbl2YOxeuuCJwcZnSy5KDMWXcr7+620ixsVllrVu7tZ/PPjv/dqZ8s9tKxpRhK1e6RJA9Mfzxj/Df/1piMAWz5GBMGaQKzzwD3bvDvn2uLDQUJk2Cd96BKlUCG58p/ey2kjFlzJEjMGwYzJmTVVavntvu1ClwcZngYsnBmDJkyxY3sG1TtmGjV1zhEkODBoGLywQfSw7GBLOkJLdi2/btzP29C0Nev5LDh7OmNBs5Ep57znVZNaYoLDkYE6xiYyE6muSUCtyfOI5JdM7cVbkyTJsGt94awPhMULPkYEwwSkqC6Gh+OhjBjcwmjraZu5pU+JkPV9Xnsg6VAhigCXbWW8mYYDRvHvOO9+Qy1udIDH2Zy9fhnbgs/sMABmfKAksOxgSZEyfgby81Jeb4DA7hZskL4wQvcDcf0o+IY7vcwjzGnAK7rWRMEPn5Z7jpJli7tkNm2Tn8zGxupB2+kW5Vq7oV24w5BXblYEyQmDvXjXZeuzarrDcL+JrWWYkB3Gi3mJiSD9CUKZYcjCnlEhPdqmz9+sGBA64sNBSevfsX5te4nbOqpYAIVKvmFmNYtszWeDanzG4rGVOKrV8Pgwa5wW0ZGjWCWbPg8ssbwRO73DiH+Hh3KykmxhKDKRaWHIwphdLTYeJEGDPGPYDOcOONbk2GzNXawsPh5psDEqMp2yw5GFPK/O9/cPvtsHRpVlnVqvDii65cJL+WxhQfSw7GlCJLlrgEsGdPVllUFMyYAc2bBywsUw55eiAtIj1EZIuIbBORMX72i4hM8u3fICKtC2srImeJyCci8qPv/cxcx2wkIkdF5N5TOUFjgsHRo/DnP0OvXlmJQQQeeABWr7bEYEpeoclBREKAyUBPoCUwSERa5qrWE2juew0HpnhoOwZYoarNgRW+7eyeB5acxDkZE1RWr4ZLL4WpU7PK6teHTz6BCRNs0jwTGF6uHNoB21Q1XlVPALOAPrnq9AHeVmcNECEi9Qtp2wd4y/fzW8ANGQcTkRuAeGDjSZ6XMaVecrK7MrjySti+Pau8b1/YsAGuvjpwsRnjJTlEAr9m207wlXmpU1Dbuqq6G8D3XgdARKoCDwCPFBSUiAwXkTgRidu7d6+H0zCm9PjmG/cs4amn3KptADVquFXaPvwQatUKbHzGeEkO/vpGqMc6Xtrm9gjwvKoeLaiSqk5T1ShVjapdu3YhhzSmdEhNhfHjoW1b+P77rPJu3eC77+CWW6w3kikdvPRWSgCyL0XeENjlsU7FAtr+JiL1VXW37xZURv+M9kB/EXkKiADSReS4qr7k5YSMKTWyLcRDs2ZsuqAfQ/9cia++yqoSHg5PP+0eRlew+QpMKeIlOcQCzUWkCbATGAjkHnWzEBglIrNwX+6HfF/6ewtouxC4DZjge18AoKpXZhxURB4GjlpiMEHHtxAPqamkHE1mQsWxPH4Cso1no0MHeOstOO+8gEVpTL4KTQ6qmioio4ClQAjwuqpuFJE7ffunAouBXsA24BgwpKC2vkNPAGaLyDDgF2BAsZ6ZMYHiW4iHgwdZR2uG8jobTlySuTssTHn4YeH++90cScaURqJa2COA0i8qKkrj4uICHYYxzowZJA2/m0cSR/MM95KW7W+wdhViee1fe7jwgWsDGKAxjoisU9Uof/vsLqcxxey/K05waeLnPMmYzMQQzjGeYTRfpF/OhSnrAxyhMYWzi1pjismhQ/DPf8Lk12/PUd6VVbzKnziX7W5abVuIxwQBu3Iw5hSpwvvvw/nnw+TJWeVncJipjGAFV7vEALYQjwkaduVgzCnYvh1Gjsw5gypAr44HmfpdJ85O3wGJQNVqLjHYQjwmSFhyMOYkJCe78Qnjx8Px41nl9eq5dRgGDIhAjsfaQjwmaFlyMKaIVq1yg9ayr84mAqNGwWOPuWkwAFuIxwQ1Sw7GeLRrl5so7913c5a3bu1WZ4vy2yHQmOBkD6SNKURyMjz5JLRokTMxnHEGTJoEa9daYjBlj105GJMPVVi0CP72N9i2Lee+AQPghRegQYPAxGbM6WbJwRg/tmxxSWFJruWmWrVyD5xtrQVT1tltJWOyOXQI7rsPLrwwZ2KIiHBJYf16SwymfLArB2OAlBT3UPmRR2DfvqxyEfjTn+Dxx8GWDTHliSUHU/5kW2dBmzZjfmh/HhhbkR9/zFmtY0f3wLl168CEaUwgWXIw5Uu2dRbWHL2Qeys8x+r0ijmqNGoEEybAwIG2Kpspvyw5mPLDt85C/MEzeZAnmM1NkJ61u0YN5Z//FO66ywYyG2PJwZQbu17/mMePPsV0biOFrKuFME4wMmwaDz1Zj5oj+gcwQmNKD0sOpszbt8/dJpo88TqOp4bl2DeA2TzBgzRL/Qn2PhqgCI0pfSw5mDLr0CF49ll4/nk4ehQgKzFcyWc8xf104CtXUNXWWTAmO0sOpsxJTIQXX4SnnoIDB3LuaxOynvFpY4hmGTmeNds6C8bk4GkQnIj0EJEtIrJNRMb42S8iMsm3f4OItC6srYicJSKfiMiPvvczfeXdRWSdiHzne7+qOE7UlH2HD8MTT0DjxvDggzkTQ6tWMHcuxH6RyjURa5Fq1VxXpGrV3Ag3W2fBmBwKvXIQkRBgMtAdSABiRWShqm7KVq0n0Nz3ag9MAdoX0nYMsEJVJ/iSxhjgAWAfcL2q7hKRC4GlQGTxnK4piw4ccKOXJ06Egwdz7mvaFB591HVLDQkBaOumV7V1FowpkJfbSu2AbaoaDyAis4A+QPbk0Ad4W1UVWCMiESJSH2hcQNs+QFdf+7eA/wAPqGr21dc3ApVFpJKqJp/UGZoya+9e9zzhpZfgyJGc+xo1cus5DxkCYWG5Gto6C8YUyktyiAR+zbadgLs6KKxOZCFt66rqbgBV3S0idfx8dj9gvb/EICLDgeEAjRo18nAapqxISHBJYepUOHYs575mzeAf/4BbboGKFf23N8YUzkty8DdGVD3W8dLW/4eKtAKeBKL97VfVacA0gKioKE/HNMFtwwZ45hmYORNSU3Puu+ACd6Vw003u2bIx5tR4+W+UAJydbbshsMtjnYoFtP1NROr7rhrqA3syKolIQ2AeMFhVt3s5EVNGZJv3iGbN0L4xLP+8Ms88454Z53bJJfDQQ+6xQQWbY9iYYuMlOcQCzUWkCbATGAjkvmG7EBjle6bQHjjk+9LfW0DbhcBtwATf+wIAEYkAFgEPqurqUzk5E2SyzXuUcjSZ9ysN5plbL+Lb9IvyVL3ySje19nXX2fxHxpwOhSYHVU0VkVG4XkMhwOuqulFE7vTtnwosBnoB24BjwJCC2voOPQGYLSLDgF+AAb7yUcC5wFgRGesri1bVzCsLUwb55j367WBFXmUkU7mTnckNc1SpUAH69YPRo6F97qdexphiJa6DUXCLiorSuLi4QIdhTpIqfPXoUl56/ACzU2NyzHsEUIVEhkYncM/LLWjWLEBBGlMGicg6VfW7Aro9ujMBk5QE77/vuqKuW3dNnv11+R+jeIk/M5WaV94DzR4KQJTGlE+WHEyJ27wZXnsN3nwT9u/Pu/9yvmAUL9GfD6hIihvFbPMeGVOiLDmYEpGYCLNnw/Tp8MUXefdXqqTcrO8x8sTztOHrnDtt3iNjSpwlB3PaqLoOSK+95sYm5B7FDHDOOfCXv8CwYULN+BYQHQ+p1Vw2qVrVJQab98iYEmfJwRS7X36BGTPg3Xdh48a8+0NDoXdvuOMO13PVzXkE1LR5j4wpLSw5mGJx8CB88IFLCJ9+6r9OixYuIdx6K9Stm8+BbN4jY0oFSw7Gu1yjl5N6xrBkVWXeew8++ghOnMjbJDwcbrzRJYWOHW3AmjHBwpKD8cY3ejkxpSKLE7vwQWhLFqWmkuinaoUK0K2bm/zuhhvgjDNKPFpjzCmy5GAKdfi3JD7qOo0Pj01nCT1Jogqk5q3Xpo1LCAMHQr16JR+nMab4WHIwfv38s7tVtGgRrFxekROpr/qtd578yIDeyfzxiQu54IKSjdEYc/pYcjCAmwJ7zRqXED76KHcvo5AcdVvxPf35gP58QCvdhEQ9ChdcWKLxGmNOL0sO5djPP8OKFbB8uRtK8Pvv+de9uMJ3DEh/n358yAX8kLXDRi8bUyZZcigLcvUiym9swP79sGqVSwbLl7vq+alUCa66Cq69Fq7tlkzjDp3zLtAMNnrZmDLKkkOwy7YGQuao4pEjYdkydkW2ZfVq+Pxz+O9/4Ztv3Kjl/NSv79ZHuO46uPpqdyinkru0yP05NnrZmDLLkkMw862BwMGDpFGBH7iA1Uc78jmd+LxDbX5KL7h5eDh07uy6nV59NVx6aQHjENra6GVjyhNLDkEoPd3dEoqb+DVxiY8Sx8V8TWuOkm1AgZ/EUKECtGvnkkG3btChg7t95JmNXjam3LDkUModOQKbNsH337seRN9+C+vWwaFDAB19L/8qh6bQoVMYHTtCp05w+eVQo0ZJRW6MCWaWHE43Dw+LVWHvXti2zb02b3bJ4PvvXY8ir+ryPzqwhiv5L53Cv+ayqSOoOHhg8Z6PMaZcKN/JwWMvn5Pme1isKakcSgwlIbw5CcPn8uvdTxOf3iQzGWzf7n8664LUqgVRrdOI+vQ5opI/J4o4GrCLzEcGlSLgxhuK71yMMeWKp+QgIj2AibjRUNNVdUKu/eLb3ws4Btyuql8X1FZEzgLeBxoDPwM3quoB374HgWFAGvBXVV16SmfpTwG9fGjbttDmqanu1s6+ff5fe3ansvP9RBJSvySBhiRSDZJ8jf/lPczQUDjvPLjwwqxXmzZw9tkgEgKxXSH6X77zEOtFZIwpFqIF9W0ERCQE2Ap0BxKAWGCQqm7KVqcXcBcuObQHJqpq+4LaishTwO+qOkFExgBnquoDItISmAm0AxoAy4HzVDUtvxijoqI0Li7O+1knJUGDBvz94FiSqUQqoVmvsCqk9o4hVUNISXFVjx7N+TpyBJKTvX+cF2ecAc2buwuY5s3hootcIjjvPKhY0cP5WC8iY0wRicg6VY3yt8/LlUM7YJuqxvsONgvoA2zKVqcP8La6TLNGRCJEpD7uqiC/tn2Arr72bwH/AR7wlc9S1WTgJxHZ5ovhS68nXKh58yA1lSn8meOE59yXAnxYbJ+UqQqJNCSBhiQQyU6adG3MuUM7c+65cO657jbRSU9nbb2IjDHFzEtyiAR+zbadgLs6KKxOZCFt66rqbgBV3S0idbIda42fY+UgIsOB4QCNGjXycBrZbN8OiYmE+pta1CMRqF7dfan7fW3/ish3n6Th8R9pSAIRHMx6HlCtGvzpFbDvc2NMKeUlOfj7ezb3vaj86nhpezKfh6pOA6aBu61UyDFzatYMqlblqaP3k06FzJtKYaQQWimU0OFDCe3aiZAQqFLFfZdnvKpWde/h4YX8pX/8EvhgFRy3KSeMMcHHS3JIAM7Ott0Q2OWxTsUC2v4mIvV9Vw31gT1F+LxTExMDI0fyZ6bm3RceAU+9DKd6y75yZZtywhgTtCp4qBMLNBeRJiJSERgILMxVZyEwWJwOwCHfLaOC2i4EbvP9fBuwIFv5QBGpJCJNgObA2pM8P/8yvrgjItxlgIh7j4go3i/ujCknXnkFHn3Uve/e7ak3lDHGBFKhVw6qmioio4CluO6or6vqRhG507d/KrAY11NpG64r65CC2voOPQGYLSLDgF+AAb42G0VkNu6hdSowsqCeSietpOYKsofFxpggVGhX1mBQ5K6sxhhjCuzK6uW2kjHGmHLGkoMxxpg8LDkYY4zJw5KDMcaYPMrEA2kR2QvsOIVD1AL2FVM4JS2YY4fgjj+YY4fgjj+YY4fSE/85qlrb344ykRxOlYjE5ffEvrQL5tghuOMP5tghuOMP5tghOOK320rGGGPysORgjDEmD0sOzrRAB3AKgjl2CO74gzl2CO74gzl2CIL47ZmDMcaYPOzKwRhjTB6WHIwxxuRRbpKDiPQQkS0iss23ZnXu/SIik3z7N4hI60DEmR8P8Z8vIl+KSLKI3BuIGPPjIfY/+n7nG0TkCxG5JBBx5sdD/H18sX8jInEi0ikQcfpTWOzZ6rUVkTQR6V+S8RXGw+++q4gc8v3uvxGR/wtEnPnx8vv3ncM3IrJRRD4t6Rjzpapl/oWbLnw70BS3ANG3QMtcdXoBS3Ar0XUAvgp03EWMvw7QFhgP3BvomIsY+xXAmb6fewbh774aWc/vLgZ+CHTcXmPPVm8lbur9/oGOu4i/+67AR4GO9RTij8AtT9DIt10n0HFnvMrLlUM7YJuqxqvqCWAW0CdXnT7A2+qsASJ8K9SVBoXGr6p7VDUWSAlEgAXwEvsXqnrAt7kGt/pfaeEl/qPq+58NVKXwpXBLipd/9wB3AR+StRpjaeE1/tLKS/w3A3NV9Rdw/49LOMZ8lZfkEAn8mm07wVdW1DqBUppjK0xRYx+Gu4IrLTzFLyJ9ReQHYBEwtIRiK0yhsYtIJNAX/K2ZG3Be/+1cLiLfisgSEWlVMqF54iX+84AzReQ/IrJORAaXWHSF8LKGdFkgfspy/3XnpU6glObYCuM5dhH5Ay45lJp79niMX1XnAfNEpDPwGNDtdAfmgZfYXwAeUNU0EX/VA8pL/F/j5gc6KiK9gPm4pYVLAy/xhwJtgKuBcOBLEVmjqltPd3CFKS/JIQE4O9t2Q2DXSdQJlNIcW2E8xS4iFwPTgZ6qur+EYvOiSL97Vf1MRJqJSC1VDfTEal5ijwJm+RJDLaCXiKSq6vySCbFAhcavqoez/bxYRF4uJb978P69s09VE4FEEfkMuAQIeHII+EOPknjhkmA80ISsB0OtctW5lpwPpNcGOu6ixJ+t7sOUrgfSXn73jXDrj18R6HhPMv5zyXog3RrYmbFd2mPPVf9NStcDaS+/+3rZfvftcOvRB/x3X4T4LwBW+OpWAb4HLgx07KpaPq4cVDVVREYBS3E9CF5X1Y0icqdv/1RcT41euC+pY8CQQMWbm5f4RaQeEAdUB9JF5B5cz4jD+R64BHj83f8fUBN42fcXbKqWkhkrPcbfDxgsIilAEnCT+v7nB5LH2Estj/H3B/4sIqm43/3A0vC7B2/xq+pmEfkY2ACkA9NV9fvARZ3Fps8wxhiTR3nprWSMMaYILDkYY4zJw5KDMcaYPCw5GGOMycOSgzHGmDwsORhjjMnDkoMxxpg8/h88lNyA0CYr9QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 12\n",
"dx = L/N\n",
"A=np.diag(np.ones(N)*6)\\\n",
" +np.diag(np.ones(N-1)*-4,-1)\\\n",
" +np.diag(np.ones(N-1)*-4,1)\\\n",
" +np.diag(np.ones(N-2),-2)\\\n",
" +np.diag(np.ones(N-2),2)\n",
"A[0,0] += 1\n",
"A[N-2,N-1] += 2\n",
"A[N-1,N-2] += 2\n",
"A[N-2,N-2] -= 1\n",
"A[N-1,N-1] -= 5\n",
"b=np.zeros(N)\n",
"b[N-2] += -M*dx**2/E/I\n",
"b[N-1] += M*dx**2/E/I\n",
"\n",
"w=np.linalg.solve(A,b)\n",
"xnum=np.linspace(0,L,N+1)\n",
"\n",
"print('The deflection at end of the guitar is:',round(w[-1]*1000,10),'mm')\n",
"\n",
"plt.plot(xnum,np.block([0,w]),'or', markersize='7',label='Numerical') \n",
"plt.plot(x,y(x),'b',label='Analytical',lw=3)\n",
"plt.legend(prop={'size':15});"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The deflection at end of the guitar is: 1.414060032 mm\n"
]
},
{
"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": [
"N = 50\n",
"dx = L/N\n",
"A=np.diag(np.ones(N)*6)\\\n",
" +np.diag(np.ones(N-1)*-4,-1)\\\n",
" +np.diag(np.ones(N-1)*-4,1)\\\n",
" +np.diag(np.ones(N-2),-2)\\\n",
" +np.diag(np.ones(N-2),2)\n",
"A[0,0] += 1\n",
"A[N-2,N-1] += 2\n",
"A[N-1,N-2] += 2\n",
"A[N-2,N-2] -= 1\n",
"A[N-1,N-1] -= 5\n",
"b=np.zeros(N)\n",
"b[N-2] += -M*dx**2/E/I\n",
"b[N-1] += M*dx**2/E/I\n",
"\n",
"w=np.linalg.solve(A,b)\n",
"xnum=np.linspace(0,L,N+1)\n",
"\n",
"print('The deflection at end of the guitar is:',round(w[-1]*1000,10),'mm')\n",
"\n",
"plt.plot(xnum,np.block([0,w]),'or', markersize='7',label='Numerical') \n",
"plt.plot(x,y(x),'b',label='Analytical',lw=3)\n",
"plt.legend(prop={'size':15});"
]
},
{
"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": 41,
"metadata": {},
"outputs": [],
"source": [
"L=0.64\n",
"mu=1.14e-3\n",
"T=71.81\n",
"\n",
"N1=6\n",
"dx1=L/(N1+1)\n",
"N2=30\n",
"dx2=L/(N2+1)\n",
"N3=45\n",
"dx3=L/(N3+1)\n",
"N4=60\n",
"dx4=L/(N4+1)\n",
"\n",
"k1=T/dx1**2/mu\n",
"k2=T/dx2**2/mu\n",
"k3=T/dx3**2/mu\n",
"k4=T/dx4**2/mu"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First three natural frequencies of N-element strings are:\n",
"Frist and Second of 6 Nodes: [194.43708661 379.1242858 544.80061022]\n",
"Frist and Second of 30 Nodes: [195.99464595 391.48617646 585.97276757]\n",
"Frist and Second of 45 Nodes: [196.04043699 391.85229959 587.20727994]\n",
"Frist and Second of 60 Nodes: [196.05687232 391.9837462 587.65070938]\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 648x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"A1=k1*(np.diag(np.ones(N1)*2)\\\n",
" -np.diag(np.ones(N1-1),-1)\\\n",
" -np.diag(np.ones(N1-1),1))\n",
"A2=k2*(np.diag(np.ones(N2)*2)\\\n",
" -np.diag(np.ones(N2-1),-1)\\\n",
" -np.diag(np.ones(N2-1),1))\n",
"A3=k3*(np.diag(np.ones(N3)*2)\\\n",
" -np.diag(np.ones(N3-1),-1)\\\n",
" -np.diag(np.ones(N3-1),1))\n",
"A4=k4*(np.diag(np.ones(N4)*2)\\\n",
" -np.diag(np.ones(N4-1),-1)\\\n",
" -np.diag(np.ones(N4-1),1))\n",
"\n",
"e1,v1=linalg.eig(A1)\n",
"isort1 = np.argsort(e1.real)\n",
"e1=e1.real[isort1]\n",
"v1=v1.real[:,isort1]\n",
"\n",
"e2,v2=linalg.eig(A2)\n",
"isort2 = np.argsort(e2.real)\n",
"e2=e2.real[isort2]\n",
"v2=v2.real[:,isort2]\n",
"\n",
"e3,v3=linalg.eig(A3)\n",
"isort3 = np.argsort(e3.real)\n",
"e3=e3.real[isort3]\n",
"v3=v3.real[:,isort3]\n",
"\n",
"e4,v4=linalg.eig(A4)\n",
"isort4 = np.argsort(e4.real)\n",
"e4=e4.real[isort4]\n",
"v4=v4.real[:,isort4]\n",
"\n",
"\n",
"plt.figure(figsize=(9,5))\n",
"x1 = np.linspace(0,L,N1)\n",
"plt.plot(x1,v1[:,0],'r',label='6 nodes 1')\n",
"plt.plot(x1,v1[:,1],'r',label='6 nodes 2')\n",
"\n",
"x2 = np.linspace(0,L,N2)\n",
"plt.plot(x2,v2[:,0],'--g',label='30 nodes 1')\n",
"plt.plot(x2,v2[:,1],'--g',label='30 nodes 2')\n",
"\n",
"x3 = np.linspace(0,L,N3)\n",
"plt.plot(x3,v3[:,0],'-.k',label='45 nodes 1')\n",
"plt.plot(x3,v3[:,1],'-.k',label='45 nodes 2')\n",
"\n",
"x4 = np.linspace(0,L,N4)\n",
"plt.plot(x4,v4[:,0],'b',label='60 nodes 1')\n",
"plt.plot(x4,v4[:,1],'b',label='60 nodes 2')\n",
"\n",
"plt.legend(bbox_to_anchor=(1,0.5),loc='center left')\n",
"\n",
"\n",
"first = e.real[0]**0.5/2/np.pi\n",
"second = e.real[1]**0.5/2/np.pi\n",
"\n",
"print('First three natural frequencies of N-element strings are:')\n",
"print('Frist and Second of 6 Nodes:',e1.real[:3]**0.5/2/np.pi)\n",
"print('Frist and Second of 30 Nodes:',e2.real[:3]**0.5/2/np.pi)\n",
"print('Frist and Second of 45 Nodes:',e3.real[:3]**0.5/2/np.pi)\n",
"print('Frist and Second of 60 Nodes:',e4.real[:3]**0.5/2/np.pi)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [],
"source": [
"#A Answer__ you need at least 30 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": 79,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First three Natural frequencies of 60 element high E string\n",
"1st = 329.662873200059 \n",
"2nd = 659.1071584965831 \n",
"3rd = 988.1144129239271 \n",
"\n",
"First three Natural frequencies of 60 element B string\n",
"1st = 247.0748304582595 \n",
"2nd = 493.98583425108916 \n",
"3rd = 740.5692933408752 \n",
"\n",
"First three Natural frequencies of 60 element G string\n",
"1st = 196.05578023030412 \n",
"2nd = 391.98156274026314 \n",
"3rd = 587.6474360065606 \n",
"\n",
"First three Natural frequencies of 60 element D string\n",
"1st = 146.89843350533522 \n",
"2nd = 293.6994638051143 \n",
"3rd = 440.3057522782996 \n",
"\n",
"First three Natural frequencies of 60 element A string\n",
"1st = 110.01731758315894 \n",
"2nd = 219.96168653677302 \n",
"3rd = 329.7602066010026 \n",
"\n",
"First three Natural frequencies of 60 element low E string\n",
"1st = 82.44585723617439 \n",
"2nd = 164.8370475123807 \n",
"3rd = 247.11894011639782 \n",
"\n"
]
}
],
"source": [
"#b\n",
"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",
"k1 = 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 = k1*(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",
"e1,v1=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_1 = np.argsort(e1.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",
"e1=e1[isort_1]\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",
"v1=v1[:,isort_1]\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 = e1.real**0.5/2/np.pi\n",
"nat_freq_B = e2.real**0.5/2/np.pi\n",
"nat_freq_G = e6.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",
"\n",
"x = np.linspace(0,L,N+2) \n",
"\n",
"print('First three Natural frequencies of 60 element high E string')\n",
"print('1st =',nat_freq_E[0],'\\n2nd =',nat_freq_E[1],'\\n3rd =',nat_freq_E[2],'\\n')\n",
"\n",
"print('First three Natural frequencies of 60 element B string')\n",
"print('1st =',nat_freq_B[0],'\\n2nd =',nat_freq_B[1],'\\n3rd =',nat_freq_B[2],'\\n')\n",
"\n",
"print('First three Natural frequencies of 60 element G string')\n",
"print('1st =',nat_freq_G[0],'\\n2nd =',nat_freq_G[1],'\\n3rd =',nat_freq_G[2],'\\n')\n",
"\n",
"print('First three Natural frequencies of 60 element D string')\n",
"print('1st =',nat_freq_D[0],'\\n2nd =',nat_freq_D[1],'\\n3rd =',nat_freq_D[2],'\\n')\n",
"\n",
"print('First three Natural frequencies of 60 element A string')\n",
"print('1st =',nat_freq_A[0],'\\n2nd =',nat_freq_A[1],'\\n3rd =',nat_freq_A[2],'\\n')\n",
"\n",
"print('First three Natural frequencies of 60 element low E string')\n",
"print('1st =',nat_freq_E2[0],'\\n2nd =',nat_freq_E2[1],'\\n3rd =',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": 80,
"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": 80,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Audio\n",
"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)"
]
},
{
"cell_type": "code",
"execution_count": 85,
"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": [
"plt.plot(np.linspace(0,len(out_file),len(out_file))*dt*1000,out_file)\n",
"plt.xlim((0,1000))\n",
"plt.xlabel('Time (ms)')\n",
"plt.ylabel('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
}