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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": 59,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"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",
"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": [
"#Project 1a\n",
"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",
"\n",
"# Define Inputs\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",
"\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",
"L = L_e = L_b = L_g = L_d = L_a = L_e2 = 0.64 #m\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",
"height = 0.004 #m\n",
"\n",
"Moment = (T_e + T_b + T_g +T_d + T_a + T_e2)*(height)\n",
"\n",
"#Solving analytically: w = (M/EI)*x^2\n",
"x_ana = np.linspace(0, 0.64, 1000)\n",
"w_ana = (Moment/(2*E*I))*x_ana**2\n",
"\n",
"#Finite difference approximation (6 sections) \n",
"N12 = 6 #change 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] = (-Moment*(h12**2)/(E*I))\n",
"b12[-1] = (2*Moment*(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('A matrix\\n', A12, '\\n')\n",
"\n",
"print('b matrix\\n', b12)\n",
"\n",
"\n",
"plt.figure(figsize = (10,6))\n",
"plt.plot(x_num12, np.block([0,w_num12*1000]), 'o', label = 'Finite Difference 6 Steps')\n",
"plt.title('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": "code",
"execution_count": 60,
"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": [
"#Project 1b\n",
"def num(nodes):\n",
" '''Function taking a number of nodes and returning a finite difference solution:\n",
" Arguments:\n",
" nodes = number of divisions desired\n",
" Returns:\n",
" plot of numerical solution 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] = (-Moment*(h12**2)/(E*I))\n",
" b12[-1] = (2*Moment*(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]), 's',markersize = 12,label = 'Finite Difference {} 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('Finite Difference Approximation for Beam Deflection')\n",
"plt.ylabel('Deflection (mm)')\n",
"plt.xlabel('Beam Location (m)')\n",
"plt.plot(x_ana, w_ana*1000, label = 'Analytical Solution')\n",
"plt.legend(bbox_to_anchor=(1,0.5), loc = 'center left');"
]
},
{
"cell_type": "code",
"execution_count": 61,
"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": [
"plt.figure(figsize = (16,12))\n",
"plt.title('Finite Difference Approximation for Beam Deflection')\n",
"plt.ylabel('Deflection (mm)')\n",
"plt.xlabel('Beam Location (m)')\n",
"num(1000)\n",
"plt.plot(x_ana, w_ana*1000, label = 'Analytical Solution')\n",
"plt.legend(bbox_to_anchor=(1,0.5), loc = 'center left');"
]
},
{
"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": 62,
"metadata": {},
"outputs": [],
"source": [
"#Project 2a\n",
"\n",
"#Define constants\n",
"L_p2 = 0.64 #m\n",
"mu_p2 = 1.14e-3 #g/m\n",
"T_p2 = 71.81 #N"
]
},
{
"cell_type": "code",
"execution_count": 63,
"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"
]
},
{
"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": [
"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))\n",
"\n",
"#Plot mode shapes\n",
"y6modes=np.pad(v6,((1,1),(0,0))) \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": "code",
"execution_count": 64,
"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"
]
},
{
"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": [
"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))\n",
"\n",
"#Plot mode shape\n",
"y30modes=np.pad(v30,((1,1),(0,0))) \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": "code",
"execution_count": 65,
"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"
]
},
{
"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": [
"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))\n",
"\n",
"#Plot mode shape\n",
"y45modes=np.pad(v45,((1,1),(0,0))) \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": "code",
"execution_count": 66,
"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"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"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))\n",
"\n",
"#Plot mode shape\n",
"y60modes=np.pad(v60,((1,1),(0,0))) \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": [
"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": 67,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The first three natural frequencies of first E string (Hz)\n",
"\tFirst: 329.6629\n",
"\tSecond: 659.1072\n",
"\tThird: 988.1144\n",
"\n",
"The first three natural frequencies of B string (Hz)\n",
"\tFirst: 247.0748\n",
"\tSecond: 493.9858\n",
"\tThird: 740.5693\n",
"\n",
"The first three natural frequencies of G string (Hz)\n",
"\tFirst: 196.0558\n",
"\tSecond: 391.9816\n",
"\tThird: 587.6474\n",
"\n",
"The first three natural frequencies of D string (Hz)\n",
"\tFirst: 146.9857\n",
"\tSecond: 293.8740\n",
"\tThird: 440.5674\n",
"\n",
"The first three natural frequencies of A string (Hz)\n",
"\tFirst: 110.0173\n",
"\tSecond: 219.9617\n",
"\tThird: 329.7602\n",
"\n",
"The first three natural frequencies of second E string (Hz)\n",
"\tFirst: 82.4459\n",
"\tSecond: 164.8370\n",
"\tThird: 247.1189\n"
]
}
],
"source": [
"#Project 2b\n",
"\n",
"N60=60 # 60-node guitar string\n",
"L = L_p2 = 0.64 \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('The 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('The 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('The 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('The 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('The 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('The 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": 68,
"metadata": {},
"outputs": [
{
"data": {
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"\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": 68,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Audio\n",
"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)"
]
},
{
"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",
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