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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": 246,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Part a:\n",
"\n",
"finite difference A:\n",
"------------------\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",
"finite difference b:\n",
"------------------\n",
"[ 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n",
" -7.86390528e-05 1.57278106e-04]\n",
"\n",
"deflection of Guitar's Bridge (mm)\n",
"-------------\n",
" [0.03931953 0.15727811 0.35387574 0.62911242 0.98298816 1.41550295]\n",
"\n",
"at position (m) \n",
"-------------\n",
" [0.10666667 0.21333333 0.32 0.42666667 0.53333333]\n"
]
}
],
"source": [
"## part a\n",
"import numpy as np\n",
"from scipy import linalg\n",
"\n",
"E_d = 0.401 # g/m\n",
"E_T = 7.28 # kg\n",
"B_d = 0.708 # g/m\n",
"B_T = 7.22 # kg\n",
"G_d = 1.14 # g/m\n",
"G_T = 7.32 # kg\n",
"D_d = 2.333 # g/m\n",
"D_T = 8.41 # kg\n",
"A_d = 4.466 # g/m\n",
"A_T = 9.03 # kg\n",
"E2_d = 6.79 # g/m\n",
"E2_T = 7.71 # kg\n",
"\n",
"L = 0.64 # m\n",
"ht = 0.004 # m\n",
"E = 10e9 # Pa\n",
"A = 8 # cm^2\n",
"I = 4*2**3/12/(10**8) # m^4\n",
"\n",
"\n",
"Moment = (E_T + B_T + G_T + D_T + A_T + E2_T)*ht*9.81\n",
"\n",
"\n",
"## boundary conditions (separated into 6 segments): \n",
"# w(0) = w'(0) = 0 --> w_0 = 0 , w_1=w_-1 \n",
"\n",
"# w''(L) = M/E/I --> ( w_6 - 2*w_5 + h_4 )/h^2 = M/E/I\n",
"# --> w_6 = Mh^2/E/I + 2*w_5 - w_4\n",
"\n",
"# w'''(L) = 0 --> (w_7 - 2*w_6 + 2*w_4 - w_3)/2h^3 = 0 \n",
"# --> w_7 = 2*w_6 - 2*w_4 + w_3\n",
"# --> w_7 = 2*h^2M/E/I + 4*w_5 - 4*w_4 + w_3 \n",
"\n",
"h=L/6\n",
"\n",
"A=np.diag(np.ones(6)*6)\\\n",
"+np.diag(np.ones(5)*-4,-1)\\\n",
"+np.diag(np.ones(5)*-4,1)\\\n",
"+np.diag(np.ones(4),-2)\\\n",
"+np.diag(np.ones(4),2)\n",
"A[0,0]+=1\n",
"A[-2,-2]+=-1\n",
"A[-2,-1]+=2\n",
"A[-1,-1]+=-4\n",
"A[-1,-3]+=1\n",
"\n",
"b=np.zeros(6)\n",
"b[-1]+=2*Moment*h**2/E/I\n",
"b[-2]+=-Moment*h**2/E/I\n",
"\n",
"w=np.linalg.solve(A,b)\n",
"xnum=np.arange(0,L+h/2,h)\n",
"\n",
"print(\"Part a:\")\n",
"print()\n",
"print('finite difference A:\\n------------------')\n",
"print(A)\n",
"print('\\nfinite difference b:\\n------------------')\n",
"print(b)\n",
"print(\"\\ndeflection of Guitar's Bridge (mm)\\n-------------\\n\",w*1000)\n",
"print()\n",
"print('at position (m) \\n-------------\\n',xnum[1:-1])\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 247,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Part a continued:\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"x=np.linspace(0,L)\n",
"w_an=Moment*L**2/2/E/I*(x/L)**2 # analytical sol. for cantilever beam with end-loaded moment \n",
"\n",
"print(\"Part a continued:\")\n",
"plt.plot(xnum,np.block([0,w*1000]),'s',label='Finite Dif. Approx');\n",
"plt.plot(x,w_an*1000,label='Analytical sol.');\n",
"plt.title(\"Deflection of Guitar's Bridge\\n(separated into 6 segments)\");\n",
"plt.xlabel(\"Distance along Guitar Bridge (m)\");\n",
"plt.ylabel(\"Deflection (mm)\");\n",
"plt.legend(loc='best');"
]
},
{
"cell_type": "code",
"execution_count": 288,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Part b:\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": [
"## part b\n",
"\n",
"h=np.array([L/6,L/10,L/50,L/500])\n",
"\n",
"for i in range(0,len(h)):\n",
" \n",
" size=int((L/h[i]))\n",
" A=np.diag(np.ones(size)*6)\\\n",
" +np.diag(np.ones(size-1)*-4,-1)\\\n",
" +np.diag(np.ones(size-1)*-4,1)\\\n",
" +np.diag(np.ones(size-2),-2)\\\n",
" +np.diag(np.ones(size-2),2)\n",
" A[0,0]+=1\n",
" A[-2,-2]+=-1\n",
" A[-2,-1]+=2\n",
" A[-1,-1]+=-4\n",
" A[-1,-3]+=1\n",
"\n",
" b=np.zeros(size)\n",
" b[-1]+=2*Moment*h[i]**2/E/I\n",
" b[-2]+=-Moment*h[i]**2/E/I\n",
" \n",
" if size == 6:\n",
" w6=np.linalg.solve(A,b)\n",
" xnum6=np.arange(0,L+h[i]/2,h[i])\n",
" \n",
" if size == 10:\n",
" w10=np.linalg.solve(A,b)\n",
" xnum10=np.arange(0,L+h[i]/2,h[i])\n",
" \n",
" if size == 50: \n",
" w50=np.linalg.solve(A,b)\n",
" xnum50=np.arange(0,L+h[i]/2,h[i])\n",
"\n",
" if size == 500:\n",
" w500 = np.linalg.solve(A,b)\n",
" xnum500 = np.arange(0,L+h[i]/2,h[i])\n",
" \n",
"print(\"Part b:\") \n",
"plt.plot(xnum6,np.block([0,w6*1000]),'o',label='h={:1.3f}'.format(h[0]))\n",
"plt.plot(xnum10,np.block([0,w10*1000]),'s',label='h={:1.3f}'.format(h[1]))\n",
"plt.plot(xnum50,np.block([0,w50*1000]),'*',label='h={:1.3f}'.format(h[2]))\n",
"plt.plot(xnum500,np.block([0,w500*1000]),'--',label='h={:1.3f}'.format(h[3]))\n",
"plt.xlabel('Distance along Guitar Bridge (m)')\n",
"plt.ylabel('Deflection (mm)')\n",
"plt.title('Convergence of Guitar Bridge Deflection Based on Decrease of h size')\n",
"plt.legend(loc='best');\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As shown above, the finite difference approximations all follow the same exact trend, which matches the analytical solution (demonstrated by the plot of the 6-node finite difference approximation above)."
]
},
{
"cell_type": "code",
"execution_count": 290,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Part b continued:\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"print(\"Part b continued:\")\n",
"\n",
"error_values=np.zeros(len(h))\n",
"\n",
"error_values[0]=np.abs(np.amax(w6[1:-1])-np.amax(w_an))\n",
"error_values[1]=np.abs(np.amax(w10[1:-1])-np.amax(w_an))\n",
"error_values[2]=np.abs(np.amax(w25[1:-1])-np.amax(w_an))\n",
"error_values[3]=np.abs(np.amax(w50[1:-1])-np.amax(w_an))\n",
"\n",
"seg_size=L/h\n",
"\n",
"fig = plt.figure(figsize=(6,6))\n",
"plt.plot(seg_size, error_values, 'ko-') \n",
"plt.xlabel('Number of segments')\n",
"plt.ylabel('Error')\n",
"plt.title('Convergence of Guitar Bridge Deformation Solutions');\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the plot above, the number of segments is equal to the length of the guitar bridge over h. Therefore, if h=L/6, L/10, L/50, and L/500, then the corresponding number of segments divisions are 6, 10, 50, and 500. All of the finite difference solutions match the analytical solution as shown two plots above. But as the number of segments increases, the error still decreases. Since the error has begun to \"plateau\" and is not decreasing as significantly after 500 segments, the solution has converged. "
]
},
{
"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": 333,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x720 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mode_1_an=np.sin(2*np.pi*1/2/L*x_an)\n",
"\n",
"mode_2_an=np.sin(2*np.pi*1/L*x_an)\n",
"\n",
"mode_3_an=np.sin(2*np.pi*3/2/L*x_an)\n",
"\n",
"\n",
"\n",
"f, ((ax1,ax2),(ax3,ax4))=plt.subplots(2,2,figsize=(16,10))\n",
"\n",
"ax1.plot(x6[1:-1],-1*v6[:,0]/np.max(-v6[:,0]),\"r-\",label='1st Mode')\n",
"ax1.plot(x6[1:-1],1*v6[:,1]/np.max(v6[:,1]),\"b-\",label='2nd Mode')\n",
"ax1.plot(x6[1:-1],-1*v6[:,2]/np.max(-v6[:,2]),\"g-\",label='3rd Mode')\n",
"#ax1.plot(x_an,mode_1_an,\"mo\",label='6 nodes')\n",
"ax1.set_ylabel('First Three Mode Shapes with N=6 Nodes');\n",
"ax1.legend(loc='best');\n",
"\n",
"f.suptitle(\"First Three Mode Shapes with Various Node #s\")\n",
"\n",
"ax2.plot(x30[1:-1],-1*v30[:,0]/np.max(-v30[:,0]),\"r-\",markersize=12,label='1st Mode')\n",
"ax2.plot(x30[1:-1],-1*v30[:,1]/np.max(-v30[:,1]),\"b-\",markersize=12,label='2nd Mode')\n",
"ax2.plot(x30[1:-1],-1*v30[:,2]/np.max(-v30[:,2]),\"g-\",markersize=12,label='3rd Mode')\n",
"#ax2.plot(x_an,mode_1_an,\"mo\",markersize=12,label='30 nodes')\n",
"ax2.set_ylabel('First Three Mode Shapes with N=30 Nodes');\n",
"ax2.legend(loc='best');\n",
"\n",
"ax3.plot(x45[1:-1],-1*v45[:,0]/np.max(-v45[:,0]),\"r-\",markersize=12,label='1st Mode')\n",
"ax3.plot(x45[1:-1],-1*v45[:,1]/np.max(-v45[:,1]),\"b-\",markersize=12,label='2nd Mode')\n",
"ax3.plot(x45[1:-1],-1*v45[:,2]/np.max(-v45[:,2]),\"g-\",markersize=12,label='3rd Mode')\n",
"#ax3.plot(x_an,mode_1_an,\"mo\",markersize=12,label='45 nodes')\n",
"ax3.set_ylabel('First Three Mode Shapes with N=45 Nodes');\n",
"ax3.legend(loc='best');\n",
"\n",
"ax4.plot(x60[1:-1],-1*v60[:,0]/np.max(-v60[:,0]),\"r-\",markersize=12,label='1st Mode')\n",
"ax4.plot(x60[1:-1],-1*v60[:,1]/np.max(-v60[:,1]),\"b-\",markersize=12,label='2nd Mode')\n",
"ax4.plot(x60[1:-1],-1*v60[:,2]/np.max(-v60[:,2]),\"g-\",markersize=12,label='3rd Mode')\n",
"#ax4.plot(x_an,mode_1_an,\"mo\",markersize=12,label='30 nodes')\n",
"ax4.set_ylabel('First Three Mode Shapes with N=60 Nodes');\n",
"ax4.legend(loc='best');\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Based on the plots above, the 30-node, 45-node, and 60-node plots look as if they have converged. Only the 6-node plot looks as if it has not converged yet. Upon further investigation, though, the 2nd and 3rd mode shape in the 30-node plot look slightly jagged and as if they haven't converged. Therefore, the first three mode shapes have converged with N=45 segments. This is further confirmed below."
]
},
{
"cell_type": "code",
"execution_count": 334,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The first three natural frequencies of the 6-element string are 194.436 Hz, 379.122 Hz, and 544.798 Hz.\n",
"The first three natural frequencies of the 30-element string are 195.994 Hz, 391.484 Hz, and 585.970 Hz.\n",
"The first three natural frequencies of the 45-element string are 196.039 Hz, 391.850 Hz, and 587.204 Hz.\n",
"The first three natural frequencies of the 60-element string are 196.056 Hz, 391.982 Hz, and 587.647 Hz.\n",
"\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1296x864 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## part a \n",
"\n",
"N=np.array([6,30,45,60]) # different node values\n",
"\n",
"\n",
"for i in range(0,len(N)):\n",
" dx=L/(N[i]+1)\n",
"\n",
" k = G_T*9.81/dx**2/(G_d*1/1000)\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",
" \n",
" if N[i]==6:\n",
" e6,v6=linalg.eig(A)\n",
" isort = np.argsort(e6.real)\n",
" e6=e6.real[isort]\n",
" v6=v6.real[:,isort]\n",
" print('The first three natural frequencies of the {}-element string are {:3.3f} Hz, {:3.3f} Hz, and {:3.3f} Hz.'.format(N[i],e6.real[0]**0.5/2/np.pi,e6.real[1]**0.5/2/np.pi,e6.real[2]**0.5/2/np.pi))\n",
" \n",
" if N[i]==30:\n",
" e30,v30=linalg.eig(A)\n",
" isort = np.argsort(e30.real)\n",
" e30=e30.real[isort]\n",
" v30=v30.real[:,isort]\n",
" print('The first three natural frequencies of the {}-element string are {:3.3f} Hz, {:3.3f} Hz, and {:3.3f} Hz.'.format(N[i],e30.real[0]**0.5/2/np.pi,e30.real[1]**0.5/2/np.pi,e30.real[2]**0.5/2/np.pi))\n",
" \n",
" if N[i]==45:\n",
" e45,v45=linalg.eig(A)\n",
" isort = np.argsort(e45.real)\n",
" e45=e45.real[isort]\n",
" v45=v45.real[:,isort]\n",
" print('The first three natural frequencies of the {}-element string are {:3.3f} Hz, {:3.3f} Hz, and {:3.3f} Hz.'.format(N[i],e45.real[0]**0.5/2/np.pi,e45.real[1]**0.5/2/np.pi,e45.real[2]**0.5/2/np.pi))\n",
" \n",
" if N[i]==60:\n",
" e60,v60=linalg.eig(A)\n",
" isort = np.argsort(e60.real)\n",
" e60=e60.real[isort]\n",
" v60=v60.real[:,isort]\n",
" print('The first three natural frequencies of the {}-element string are {:3.3f} Hz, {:3.3f} Hz, and {:3.3f} Hz.'.format(N[i],e60.real[0]**0.5/2/np.pi,e60.real[1]**0.5/2/np.pi,e60.real[2]**0.5/2/np.pi))\n",
" \n",
"\n",
" \n",
"print()\n",
"x6=np.linspace(0,L,N[0]+2)\n",
"x30=np.linspace(0,L,N[1]+2)\n",
"x45=np.linspace(0,L,N[2]+2)\n",
"x60=np.linspace(0,L,N[3]+2)\n",
"\n",
"x_an=np.linspace(0,L,100)\n",
"\n",
"f, (ax1,ax2,ax3)=plt.subplots(3,1,figsize=(18,12))\n",
"ax1.plot(x_an,np.sin(2*np.pi*1/2/L*x_an),'k-',label='analytical')\n",
"ax1.plot(x6[1:-1],-1*v6[:,0]/np.max(-v6[:,0]),\"mo\",markersize=12,label='6 nodes')\n",
"ax1.plot(x30[1:-1],-1*v30[:,0]/np.max(-v30[:,0]),\"bs\",markersize=9,label='30 nodes')\n",
"ax1.plot(x45[1:-1],-1*v45[:,0]/np.max(-v45[:,0]),\"g*\",markersize=13,label='45 nodes')\n",
"ax1.plot(x60[1:-1],-1*v60[:,0]/np.max(-v60[:,0]),\"ro\",markersize=6,label='60 nodes')\n",
"ax1.set_ylabel('1st Eigenvector Mode Shape');\n",
"ax1.legend(loc='best');\n",
"\n",
"f.suptitle(\"Convergence of First, Second, and Third Mode Shapes\")\n",
"\n",
"ax2.plot(x_an,-np.sin(2*np.pi*1/L*x_an),'k-',label='analytical')\n",
"ax2.plot(x6[1:-1],1*v6[:,1]/np.max(v6[:,1]),\"mo\",markersize=12,label='6 nodes')\n",
"ax2.plot(x30[1:-1],-1*v30[:,1]/np.max(-v30[:,1]),\"bs\",markersize=9,label='30 nodes')\n",
"ax2.plot(x45[1:-1],-1*v45[:,1]/np.max(-v45[:,1]),\"g*\",markersize=13,label='45 nodes')\n",
"ax2.plot(x60[1:-1],-1*v60[:,1]/np.max(-v60[:,1]),\"ro\",markersize=6,label='60 nodes')\n",
"ax2.set_ylabel('2nd Eigenvector Mode Shape');\n",
"ax2.legend(loc='best');\n",
"\n",
"ax3.plot(x_an,-np.sin(2*np.pi*3/2/L*x_an),'k-',label='analytical')\n",
"ax3.plot(x6[1:-1],-1*v6[:,2]/np.max(-v6[:,2]),\"mo\",markersize=12,label='6 nodes')\n",
"ax3.plot(x30[1:-1],-1*v30[:,2]/np.max(-v30[:,2]),\"bs\",markersize=9,label='30 nodes')\n",
"ax3.plot(x45[1:-1],-1*v45[:,2]/np.max(-v45[:,2]),\"g*\",markersize=13,label='45 nodes')\n",
"ax3.plot(x60[1:-1],-1*v60[:,2]/np.max(-v60[:,2]),\"ro\",markersize=6,label='60 nodes')\n",
"ax3.set_ylabel('3rd Eigenvector Mode Shape');\n",
"ax3.legend(loc='best');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The plots above show the convergence of the different number of nodes to the first three mode shapes. Both the first and second mode shape seem to closely follow the analytical solution for all node numbers, while the third mode shape seems to have some greater variation for the 6-node values but shows better convergence of the higher-number nodes to the analytical. Although the other three nodes (30, 45, and 60) look as though they have converged, I would conclude the N=45 solutions for the first three mode shapes have converged."
]
},
{
"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": 337,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The first three natural frequencies of the 45-element first E string are 329.635 Hz, 658.886 Hz, and 987.369 Hz.\n",
"The first three natural frequencies of the 45-element B string are 247.054 Hz, 493.820 Hz, and 740.010 Hz.\n",
"The first three natural frequencies of the 45-element G string are 196.039 Hz, 391.850 Hz, and 587.204 Hz.\n",
"The first three natural frequencies of the 45-element D string are 146.886 Hz, 293.601 Hz, and 439.974 Hz.\n",
"The first three natural frequencies of the 45-element A string are 110.008 Hz, 219.888 Hz, and 329.511 Hz.\n",
"The first three natural frequencies of the 45-element E_2 (second E) string are 82.439 Hz, 164.782 Hz, and 246.932 Hz.\n"
]
}
],
"source": [
"N_nec=45\n",
"dx = L/(N_nec+1)\n",
"\n",
"strings = ['E', 'B', 'G', 'D', 'A', 'E_2']\n",
"string_d = [E_d, B_d, G_d, D_d, A_d, E2_d]\n",
"string_T = [E_T, B_T, G_T, D_T, A_T, E2_T]\n",
"\n",
"for i in range(0,6):\n",
"\n",
" k = string_T[i]*9.81/dx**2/(string_d[i]*1/1000)\n",
"\n",
" A = k*(np.diag(np.ones(N_nec)*2)\\\n",
" -np.diag(np.ones(N_nec-1),-1)\\\n",
" -np.diag(np.ones(N_nec-1),1))\n",
" \n",
" if strings[i] == 'E':\n",
" e_E,v_E=linalg.eig(A)\n",
" isort = np.argsort(e_E.real)\n",
" e_E=e_E.real[isort]\n",
" v_E=v_E.real[:,isort]\n",
" print('The first three natural frequencies of the 45-element first {} string are {:3.3f} Hz, {:3.3f} Hz, and {:3.3f} Hz.'.format(strings[i],e_E.real[0]**0.5/2/np.pi,e_E.real[1]**0.5/2/np.pi,e_E.real[2]**0.5/2/np.pi))\n",
" \n",
"\n",
" if strings[i] == 'B' :\n",
" e_B,v_B=linalg.eig(A)\n",
" isort = np.argsort(e_B.real)\n",
" e_B=e_B.real[isort]\n",
" v_B=v_B.real[:,isort]\n",
" print('The first three natural frequencies of the 45-element {} string are {:3.3f} Hz, {:3.3f} Hz, and {:3.3f} Hz.'.format(strings[i],e_B.real[0]**0.5/2/np.pi,e_B.real[1]**0.5/2/np.pi,e_B.real[2]**0.5/2/np.pi))\n",
" \n",
" if strings[i] == 'G':\n",
" e_G,v_G=linalg.eig(A)\n",
" isort = np.argsort(e_G.real)\n",
" e_G=e_G.real[isort]\n",
" v_G=v_G.real[:,isort]\n",
" print('The first three natural frequencies of the 45-element {} string are {:3.3f} Hz, {:3.3f} Hz, and {:3.3f} Hz.'.format(strings[i],e_G.real[0]**0.5/2/np.pi,e_G.real[1]**0.5/2/np.pi,e_G.real[2]**0.5/2/np.pi))\n",
" \n",
" if strings[i] == 'D':\n",
" e_D,v_D=linalg.eig(A)\n",
" isort = np.argsort(e_D.real)\n",
" e_D=e_D.real[isort]\n",
" v_D=v_D.real[:,isort]\n",
" print('The first three natural frequencies of the 45-element {} string are {:3.3f} Hz, {:3.3f} Hz, and {:3.3f} Hz.'.format(strings[i],e_D.real[0]**0.5/2/np.pi,e_D.real[1]**0.5/2/np.pi,e_D.real[2]**0.5/2/np.pi))\n",
" \n",
" if strings[i] == 'A':\n",
" e_A,v_A=linalg.eig(A)\n",
" isort = np.argsort(e_A.real)\n",
" e_A=e_A.real[isort]\n",
" v_A=v_A.real[:,isort]\n",
" print('The first three natural frequencies of the 45-element {} string are {:3.3f} Hz, {:3.3f} Hz, and {:3.3f} Hz.'.format(strings[i],e_A.real[0]**0.5/2/np.pi,e_A.real[1]**0.5/2/np.pi,e_A.real[2]**0.5/2/np.pi))\n",
" \n",
" if strings[i] == 'E_2': \n",
" e_E2,v_E2=linalg.eig(A)\n",
" isort = np.argsort(e_E2.real)\n",
" e_E2=e_E2.real[isort]\n",
" v_E2=v_E2.real[:,isort]\n",
" print('The first three natural frequencies of the 45-element {} (second E) string are {:3.3f} Hz, {:3.3f} Hz, and {:3.3f} Hz.'.format(strings[i],e_E2.real[0]**0.5/2/np.pi,e_E2.real[1]**0.5/2/np.pi,e_E2.real[2]**0.5/2/np.pi))\n",
"\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": 336,
"metadata": {},
"outputs": [
{
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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": 336,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Audio\n",
"\n",
"r=20000\n",
"tsig=np.arange(0,3,1/r)\n",
"\n",
"Audio(data = 100*np.sin(e_E.real[0]**0.5*tsig) + 100*np.sin(e_E.real[1]**0.5*tsig) + 100*np.sin(e_E.real[2]**0.5*tsig)\\\n",
" + 100*np.sin(e_B.real[0]**0.5*tsig) + 100*np.sin(e_B.real[1]**0.5*tsig) + 100*np.sin(e_B.real[2]**0.5*tsig)\\\n",
" + 100*np.sin(e_G.real[0]**0.5*tsig) + 100*np.sin(e_G.real[1]**0.5*tsig) + 100*np.sin(e_G.real[2]**0.5*tsig)\\\n",
" + 100*np.sin(e_D.real[0]**0.5*tsig) + 100*np.sin(e_D.real[1]**0.5*tsig) + 100*np.sin(e_D.real[2]**0.5*tsig)\\\n",
" + 100*np.sin(e_A.real[0]**0.5*tsig) + 100*np.sin(e_A.real[1]**0.5*tsig) + 100*np.sin(e_A.real[2]**0.5*tsig)\\\n",
" + 100*np.sin(e_E2.real[0]**0.5*tsig) + 100*np.sin(e_E2.real[1]**0.5*tsig) + 100*np.sin(e_E2.real[2]**0.5*tsig)\\\n",
" ,rate=r)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
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