{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Multi-DOF Example

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MCHE 485: Mechanical Vibrations

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Dr. Joshua Vaughan
\n", "joshua.vaughan@louisiana.edu
\n", " http://www.ucs.louisiana.edu/~jev9637/

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", "\t\"An
\n", " Figure 1: An Undamped Multi-Degree-of-Freedom System\n", "

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\n", "\n", "This notebook demonstrates the analysis of the system shown in Figure 1. Mass $m_1$ is attached to ground via a spring and constrained to move horizontally. Its horizontal motion from equilibrium is described by $x$. Mass $m_2$ is suspended from the center of $m_1$ via a massless, inextensible, inflexible cable of length $l$. The angle of this cable from horizontal is described by $\\theta$. The equations of motion for the system are:\n", "\n", "$ \\quad \\left(m_1 + m_2\\right) \\ddot{x} - m_2 l \\ddot{\\theta} + k x = f $\n", "\n", "$ \\quad -m_2 l \\ddot{x} + m_2 l^2 \\ddot{\\theta} + m_2 g l \\theta = 0 $\n", "\n", "We could also write this equation in matrix form:\n", "\n", "$ \\quad \\begin{bmatrix}m_1 + m_2 & -m_2 l \\\\ -m_2 l & \\hphantom{-}m_2 l^2\\end{bmatrix}\\begin{bmatrix}\\ddot{x} \\\\ \\ddot{\\theta}\\end{bmatrix} + \\begin{bmatrix}k & 0 \\\\ 0 & m_2 g l\\end{bmatrix}\\begin{bmatrix}x \\\\ \\theta\\end{bmatrix} = \\begin{bmatrix}f \\\\ 0\\end{bmatrix}$\n", "\n", "Define\n", "\n", "$ \\quad M = \\begin{bmatrix}m_1 + m_2 & -m_2 l \\\\ -m_2 l & \\hphantom{-}m_2 l^2\\end{bmatrix} $\n", "\n", "and \n", "\n", "$ \\quad K = \\begin{bmatrix}k & 0 \\\\ 0 & m_2 g l\\end{bmatrix} $.\n", "\n", "For information on how to obtain these equations, you can see the lectures at the [class website](http://www.ucs.louisiana.edu/~jev9637/MCHE485.html).\n", "\n", "We'll use the NumPy and SciPy tools to solve this problem and examine the response of this system." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "\n", "# We'll use the scipy version of the linear algebra\n", "from scipy import linalg\n", "\n", "# We'll also use the ode solver to plot the time response\n", "from scipy.integrate import odeint " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# We want our plots to be displayed inline, not in a separate window\n", "%matplotlib inline \n", "\n", "# Import the plotting functions \n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Define the matrices\n", "m1 = 10.0\n", "m2 = 1.0\n", "g = 9.81\n", "k = 4 * np.pi**2\n", "l = (m1 * g) / k \n", "c = 2.0\n", "\n", "M = np.asarray([[m1 + m2, -m2 * l],\n", " [-m2 * l, m2 * l**2]])\n", "\n", "K = np.asarray([[k, 0],\n", " [0, m2 * g * l]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Eigenvalue/Eigenvector Problem\n", "Let's first look at the eigenvalue/eigenvector problem in order to determine the natural frequencies and mode-shapes for this system.\n", "\n", "Using $M$ and $K$, we want to solve:\n", "\n", "$ \\quad \\left[K - \\omega^2 M\\right]\\bar{X} = 0 $ \n", "\n", "for $\\bar{X}$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "The resulting eigenalues are 2.88 and 5.41.\n", "\n", "\n", "So the two natrual frequencies are 1.70rad/s and 2.33rad/s.\n", "\n", "\n", "\n", "The first eigenvector is [-0.20540524 0.22331464].\n", "\n", "\n", "The second eigenvector is [ 0.24043437 0.35815608].\n", "\n", "\n" ] } ], "source": [ "eigenvals, eigenvects = linalg.eigh(K,M)\n", "\n", "print('\\n')\n", "print('The resulting eigenalues are {:.2f} and {:.2f}.'.format(eigenvals[0], eigenvals[1]))\n", "print('\\n')\n", "print('So the two natrual frequencies are {:.2f}rad/s and {:.2f}rad/s.'.format(np.sqrt(eigenvals[0]), np.sqrt(eigenvals[1])))\n", "print('\\n\\n')\n", "print('The first eigenvector is {}.'.format(eigenvects[:,0]))\n", "print('\\n')\n", "print('The second eigenvector is {}.'.format(eigenvects[:,1]))\n", "print('\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forced Resposne\n", "Now, let's look at the forced response.\n", "\n", "Using $M$ and $K$, we want to solve:\n", "\n", "$ \\quad \\left[K - \\omega^2 M\\right]\\bar{X} = \\bar{F} $ \n", "\n", "for $\\bar{X}$. To do so, we need to take the inverse of $\\left[K - \\omega^2 M\\right]$.\n", "\n", "$ \\quad \\bar{X} = \\left[K - \\omega^2 M\\right]^{-1}\\bar{F} $ " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "F1 = 1.0\n", "F2 = 0.0\n", "\n", "F = [F1, F2]\n", "\n", "w = np.linspace(0,6,1200)\n", "X = np.zeros((len(w),2))\n", "\n", "# This is (K-w^2 M)^-1 * F\n", "for ii, freq in enumerate(w):\n", " X[ii,:] = np.dot(linalg.inv(K - freq**2 * M), F)\n", "\n", "# Let's mask the discontinuity, so it isn't plotted\n", "pos = np.where(np.abs(X[:,0]) >= 0.5)\n", "X[pos,:] = np.nan\n", "w[pos] = np.nan" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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FVnX+xbFe+seS/M6rNy373Mt1158LwkqjyLERYOFaZ37A633OSbQ7NbQ3ddzi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set the plot size - 3x2 aspect ratio is best\n", "fig = plt.figure(figsize=(6,4))\n", "ax = plt.gca()\n", "plt.subplots_adjust(bottom=0.17,left=0.17,top=0.96,right=0.96)\n", "\n", "# Change the axis units to CMU Serif\n", "plt.setp(ax.get_ymajorticklabels(),family='serif',fontsize=18)\n", "plt.setp(ax.get_xmajorticklabels(),family='serif',fontsize=18)\n", "\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.yaxis.set_ticks_position('left')\n", "\n", "# Turn on the plot grid and set appropriate linestyle and color\n", "ax.grid(True,linestyle=':',color='0.75')\n", "ax.set_axisbelow(True)\n", "\n", "# Define the X and Y axis labels\n", "plt.xlabel('Frequency (rad/s)',family='serif',fontsize=22,weight='bold',labelpad=5)\n", "plt.ylabel('Amplitude',family='serif',fontsize=22,weight='bold',labelpad=10)\n", "\n", "plt.plot(w,X[:,0],linewidth=2,label=r'$\\bar{x}$')\n", "plt.plot(w,X[:,1],linewidth=2,linestyle=\"--\",label=r'$\\bar{\\theta}$')\n", "\n", "# uncomment below and set limits if needed\n", "# plt.xlim(0,4.5)\n", "plt.ylim(-0.4,0.40)\n", "\n", "# Create the legend, then fix the fontsize\n", "leg = plt.legend(loc='upper right', fancybox=True)\n", "ltext = leg.get_texts()\n", "plt.setp(ltext,family='serif',fontsize=18)\n", "\n", "# Adjust the page layout filling the page using the new tight_layout command\n", "plt.tight_layout(pad=0.5)\n", "\n", "# save the figure as a high-res pdf in the current folder\n", "# plt.savefig('Spring_Pendulum_Example_Amp.pdf')\n", "\n", "fig.set_size_inches(9,6) # Resize the figure for better display in the notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could also plot the magnitude of the response" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/josh/anaconda/lib/python3.6/site-packages/ipykernel_launcher.py:26: RuntimeWarning: invalid value encountered in absolute\n", "/Users/josh/anaconda/lib/python3.6/site-packages/ipykernel_launcher.py:27: RuntimeWarning: invalid value encountered in absolute\n" ] }, { "data": { "image/png": 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rYAErHeNJe4yWz1xs4lsiA2dQa5Mwy6IMXijljxzROrKBpY51dXWYnZ1FS0sL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\nD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the magnitude of the response\n", "\n", "# Set the plot size - 3x2 aspect ratio is best\n", "fig = plt.figure(figsize=(6,4))\n", "ax = plt.gca()\n", "plt.subplots_adjust(bottom=0.17,left=0.17,top=0.96,right=0.96)\n", "\n", "# Change the axis units to CMU Serif\n", "plt.setp(ax.get_ymajorticklabels(),family='serif',fontsize=18)\n", "plt.setp(ax.get_xmajorticklabels(),family='serif',fontsize=18)\n", "\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.yaxis.set_ticks_position('left')\n", "\n", "# Turn on the plot grid and set appropriate linestyle and color\n", "ax.grid(True,linestyle=':',color='0.75')\n", "ax.set_axisbelow(True)\n", "\n", "# Define the X and Y axis labels\n", "plt.xlabel('Frequency (rad/s)', family='serif', fontsize=22, weight='bold', labelpad=5)\n", "plt.ylabel('Magnitude', family='serif', fontsize=22, weight='bold', labelpad=10)\n", "\n", "plt.plot(w, np.abs(X[:,0]), linewidth=2, label=r'$|\\bar{x}|$')\n", "plt.plot(w, np.abs(X[:,1]), linewidth=2, linestyle=\"--\", label=r'$|\\bar{\\theta}|$')\n", "\n", "# uncomment below and set limits if needed\n", "# plt.xlim(0,4.5)\n", "plt.ylim(-0.01, 0.3)\n", "\n", "# Create the legend, then fix the fontsize\n", "leg = plt.legend(loc='upper right', fancybox=True)\n", "ltext = leg.get_texts()\n", "plt.setp(ltext,family='serif',fontsize=18)\n", "\n", "# Adjust the page layout filling the page using the new tight_layout command\n", "plt.tight_layout(pad=0.5)\n", "\n", "# save the figure as a high-res pdf in the current folder\n", "# plt.savefig('Spring_Pendulum_Example_Mag.pdf')\n", "\n", "fig.set_size_inches(9,6) # Resize the figure for better display in the notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A Vibration Absorber!?!?!\n", "In this case, we can see that there is some frequency that the pendulum acts as a vibration absorber for $m_1$ (*i.e.* The magnitude of the $x$ response, $|\\bar{x}|$, goes to zero at that frequency.).\n", "
\n", "
\n", "\n", "## Time Response\n", "Let's take a look at the time response to confirm this phenomenon. To do so, we'll have to represent our equations of motion as a system of first order ODEs, rather than two second-order ODEs. This is the beginning of putting the equations into state space form.\n", "\n", "Define a state vector $\\mathbf{w} = \\left[x \\quad \\dot{x} \\quad \\theta \\quad \\dot{\\theta}\\right]^T $\n", "\n", "*Note*: We'll most often see the state space form writen as:\n", "\n", "$ \\quad \\dot{w} = Aw + Bu $\n", "\n", "where $x$ is the state vector, $A$ is the state transition matrix, $B$ is the input matrix, and $u$ is the input. We'll use w here and in the code to avoid confusion with our state $x$, the position of $m_1$.\n", "\n", "To begin, let's write the two equations of motion as:\n", "\n", "$ \\quad \\ddot{x} = \\frac{1}{m_1 + m_2} \\left(m_2 l \\ddot{\\theta} - k x + f \\right)$\n", "\n", "$ \\quad \\ddot{\\theta}= \\frac{1}{m_2 l^2} \\left(m_2 l \\ddot{x} - m_2 g l \\theta\\right) = \\frac{1}{l}\\ddot{x} - \\frac{g}{l}\\theta $\n", "\n", "After some algebra and using the state vector defined above, we can write our equations of motion as:\n", "\n", "$ \\quad \\dot{\\mathbf{w}} = \\begin{bmatrix}0 & 1 & 0 & 0\\\\ -\\frac{k}{m_1} & 0 & -\\frac{m_2}{m_1}g & 0 \\\\ 0 & 0 & 0 & 1 \\\\ -\\frac{k}{m 1} & 0 & -\\left(\\frac{m_1 + m_2}{m_1}\\right)\\frac{g}{l} & 0 \\end{bmatrix}\\mathbf{w} + \\begin{bmatrix}0 \\\\ 1 \\\\ 0 \\\\ \\frac{1}{l} \\end{bmatrix} f $\n", "\n", "Now, let's write this in a way that our ODE solver can use it." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Define the system as a series of 1st order ODES (beginnings of state-space form)\n", "def eq_of_motion(w, t, p):\n", " \"\"\"\n", " Defines the differential equations for the coupled spring-mass system.\n", "\n", " Arguments:\n", " w : vector of the state variables:\n", " w = [x, x_dot, theta, theta_dot]\n", " t : time\n", " p : vector of the parameters:\n", " p = [m1, m2, k, c, l, g, wf]\n", " \n", " Returns:\n", " sysODE : An list representing the system of equations of motion as 1st order ODEs\n", " \"\"\"\n", " x, x_dot, theta, theta_dot = w\n", " m1, m2, k, c, l, g, wf = p\n", "\n", " # Create sysODE = (x', x_dot'):\n", " sysODE = [x_dot,\n", " -k/m1 * x - m2/m1 * g * theta + f(t,p),\n", " theta_dot,\n", " -k/(m1 * l) * x - (m1 + m2)/m1 * g/l * theta + f(t,p)/l]\n", " return sysODE\n", "\n", "\n", "\n", "# Define the forcing function\n", "def f(t,p):\n", " \"\"\" \n", " Defines the forcing function\n", " \n", " Arguments:\n", " t : time\n", " p : vector of the parameters:\n", " p = [m1, m2, k, l, g, wf]\n", " \n", " Returns:\n", " f : forcing function at current timestep\n", " \"\"\"\n", " \n", " m1, m2, k, c, l, g, wf = p\n", " \n", " # Uncomment below for no force input - use for initial condition response\n", " #f = 0.0 \n", " \n", " # Uncomment below for sinusoidal forcing input at frequency wf rad/s\n", " f = np.sin(wf * t)\n", " \n", " return f" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Set up simulation parameters \n", "\n", "# ODE solver parameters\n", "abserr = 1.0e-9\n", "relerr = 1.0e-9\n", "max_step = 0.01\n", "stoptime = 100.0\n", "numpoints = 10001\n", "\n", "# Create the time samples for the output of the ODE solver\n", "t = np.linspace(0.,stoptime,numpoints)\n", "\n", "# Initial conditions\n", "x_init = 0.0 # initial position\n", "x_dot_init = 0.0 # initial velocity\n", "theta_init = 0.0 # initial angle\n", "theta_dot_init = 0.0 # initial angular velocity\n", "\n", "wf = np.sqrt(k / m1) # forcing function frequency\n", "\n", "# Pack the parameters and initial conditions into arrays \n", "p = [m1, m2, k, c, l, g, wf]\n", "x0 = [x_init, x_dot_init, theta_init, theta_dot_init]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Call the ODE solver.\n", "resp = odeint(eq_of_motion, x0, t, args=(p,), atol=abserr, rtol=relerr, hmax=max_step)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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17+xu+RQ6JciBBaHGn07iKmVWwPmxRp0Gr+5owPef241PjnWM/SRPAyXKIS89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VlvMHY3jplaAXzUjf6IIMPjI/HTu89tUO7nUBwl5RXyalN9z9R++uw9Mph4YiG4J5Ths55ORC12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f/V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\nDxzANz3NkZ4eIsDA9DR1o6MEvBKpnMLurh4qQz59TG9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ouN0zOEVzLKwrjriZm4LCxeta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0KrWLMJr/1sKXOnB6VB5/6chHbCl3SQjND9TT3os9g1BZ1rZWZhKkqzEhFlMqBbjEFTLpje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\nHbg16Agh6wkhHzD+G5EMIXIvgLX+SpYASFP5W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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make the figure pretty, then plot the results\n", "# \"pretty\" parameters selected based on pdf output, not screen output\n", "# Many of these setting could also be made default by the .matplotlibrc file\n", "fig = plt.figure(figsize=(6,4))\n", "ax = plt.gca()\n", "plt.subplots_adjust(bottom=0.17,left=0.17,top=0.96,right=0.96)\n", "plt.setp(ax.get_ymajorticklabels(),family='serif',fontsize=18)\n", "plt.setp(ax.get_xmajorticklabels(),family='serif',fontsize=18)\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.yaxis.set_ticks_position('left')\n", "ax.grid(True,linestyle=':',color='0.75')\n", "ax.set_axisbelow(True)\n", "\n", "plt.xlabel('Time (s)',family='serif',fontsize=22,weight='bold',labelpad=5)\n", "plt.ylabel(r'Position (m \\textit{or} rad)',family='serif',fontsize=22,weight='bold',labelpad=10)\n", "# plt.ylim(-1.,1.)\n", "\n", "# plot the response\n", "plt.plot(t,resp[:,0], linestyle = '-', linewidth=2, label = '$x$')\n", "plt.plot(t,resp[:,2], linestyle = '--', linewidth=2, label = r'$\\theta$')\n", "\n", "# Adjust the page layout filling the page using the new tight_layout command\n", "plt.tight_layout(pad=0.5)\n", "\n", "# Create the legend, then fix the fontsize\n", "leg = plt.legend(loc='upper right', ncol = 2, fancybox=True)\n", "ltext = leg.get_texts()\n", "plt.setp(ltext,family='serif',fontsize=18)\n", "\n", "# If you want to save the figure, uncomment the commands below. \n", "# The figure will be saved in the same directory as your IPython notebook.\n", "# Save the figure as a high-res pdf in the current folder\n", "# plt.savefig('Spring_Pendulum_Example_TimeResp_Undamped.pdf')\n", "\n", "fig.set_size_inches(9,6) # Resize the figure for better display in the notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wait... It's *NOT* a Vibration Absorber?!?!?\n", "Remember that our frequency domain analysis assumes steady-state responses. In this simulation, that is not the case. We have some *transient* oscillation that occurs as our system transitions from rest to being forced according to $f(t)$. If the system has no damping, like this one, then this transient response never decays.\n", "\n", "Notice, however, that the ampliude of $x(t)$ is bounded. It would not be without the attached pendulum. (We're forcing at the $m_1/k$ subystem's natural frequency, so it would grow to inifinity.)\n", "\n", "Now, let's investigate how the system would behave with even a small amount of damping (which all *real* systems have). Let's just add a light damper between $m_1$ and ground, in parallel with the spring and of damping coefficient $c$, as shown in Figure 2.\n", "\n", "

\n", "\t\"An
\n", " Figure 2: An Damped Multi-Degree-of-Freedom System\n", "


" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Define the system as a series of 1st order ODES (beginnings of state-space form)\n", "def eq_of_motion_damped(w, t, p):\n", " \"\"\"\n", " Defines the differential equations for the coupled spring-mass system.\n", "\n", " Arguments:\n", " w : vector of the state variables:\n", " w = [x, x_dot, theta, theta_dot]\n", " t : time\n", " p : vector of the parameters:\n", " p = [m1, m2, k, l, g, wf]\n", " \n", " Returns:\n", " sysODE : An list representing the system of equations of motion as 1st order ODEs\n", " \"\"\"\n", " x, x_dot, theta, theta_dot = w\n", " m1, m2, k, c, l, g, wf = p\n", "\n", " # Create sysODE = (x', x_dot'):\n", " sysODE = [x_dot,\n", " -k/m1 * x - c/m1 * x_dot - m2/m1 * g * theta + f(t,p),\n", " theta_dot,\n", " -k/(m1 * l) * x - c/(m1 * l) * x_dot - (m1 + m2)/m1 * g/l * theta + f(t,p)/l]\n", " return sysODE" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Call the ODE solver.\n", "resp_damped = odeint(eq_of_motion_damped, x0, t, args=(p,), atol=abserr, rtol=relerr, hmax=max_step)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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qTX5oqu+0c+vdGvhezMxNxDnFGYP+Xyv3JWY/YcBgWw3g1hFeAwCPA1hHCKk9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\nqrsRm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qwDDajoQDZCl0A6AGyM8PdlAGoTPJYRHD9+PNlDGJPFc7y4f+1iPLT+opj2/9L1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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make the figure pretty, then plot the results\n", "# \"pretty\" parameters selected based on pdf output, not screen output\n", "# Many of these setting could also be made default by the .matplotlibrc file\n", "fig = plt.figure(figsize=(6,4))\n", "ax = plt.gca()\n", "plt.subplots_adjust(bottom=0.17,left=0.17,top=0.96,right=0.96)\n", "plt.setp(ax.get_ymajorticklabels(),family='serif',fontsize=18)\n", "plt.setp(ax.get_xmajorticklabels(),family='serif',fontsize=18)\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.yaxis.set_ticks_position('left')\n", "ax.grid(True,linestyle=':',color='0.75')\n", "ax.set_axisbelow(True)\n", "\n", "plt.xlabel('Time (s)',family='serif',fontsize=22,weight='bold',labelpad=5)\n", "plt.ylabel(r'Position (m \\textit{or} rad)',family='serif',fontsize=22,weight='bold',labelpad=10)\n", "# plt.ylim(-1.,1.)\n", "\n", "# plot the response\n", "plt.plot(t,resp_damped[:,0], linestyle = '-', linewidth=2, label = '$x$')\n", "plt.plot(t,resp_damped[:,2], linestyle = '--', linewidth=2, label = r'$\\theta$')\n", "\n", "# Adjust the page layout filling the page using the new tight_layout command\n", "plt.tight_layout(pad=0.5)\n", "\n", "# Create the legend, then fix the fontsize\n", "leg = plt.legend(loc='upper right', ncol = 2, fancybox=True)\n", "ltext = leg.get_texts()\n", "plt.setp(ltext,family='serif',fontsize=18)\n", "\n", "# If you want to save the figure, uncomment the commands below. \n", "# The figure will be saved in the same directory as your IPython notebook.\n", "# Save the figure as a high-res pdf in the current folder\n", "# plt.savefig('Spring_Pendulum_Example_TimeResp_Damped.pdf')\n", "\n", "fig.set_size_inches(9,6) # Resize the figure for better display in the notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Ahhh... Now it's a Vibration Absorber?\n", "In this response, we can see that the damper eventually drives the transient vibration to zero, and, given enough time, the response of $x$ would approach zero as well. The peak-to-peak amplitude of the pendulum oscillation would also approach a constant value." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Licenses\n", "Code is licensed under a 3-clause BSD style license. See the licenses/LICENSE.md file.\n", "\n", "Other content is provided under a [Creative Commons Attribution-NonCommercial 4.0 International License](http://creativecommons.org/licenses/by-nc/4.0/), CC-BY-NC 4.0." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# This cell will just improve the styling of the notebook\n", "# You can ignore it, if you are okay with the default styling\n", "from IPython.core.display import HTML\n", "import urllib.request\n", "response = urllib.request.urlopen(\"https://cl.ly/1B1y452Z1d35\")\n", "HTML(response.read().decode(\"utf-8\"))" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 1 }