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

Frequency Response to Harmonic Direct-Force Inputs

\n", "

MCHE 485: Mechanical Vibrations

\n", "

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

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

\n", "\t\"A
\n", " Figure 1: A Mass-Spring-Damper System \n", "

\n", "\n", "This notebook examines the frequency response of a mass-spring-damper system like the one shown in Figure 1 to a harmonic, direct-force input.\n", "\n", "The equation of motion for the system is:\n", "\n", "\n", "$ \\quad m \\ddot{x} + c \\dot{x} + kx = f $\n", "\n", "We could also write this equation in terms of the damping ratio, $\\zeta$, and natural frequency, $\\omega_n$.\n", "\n", "$ \\quad \\ddot{x} + 2\\zeta\\omega_n \\dot{x} + \\omega_n^2x = \\frac{f}{m}$\n", "\n", "For information on how to obtain this equation, you can see the lectures at the [class website](http://www.ucs.louisiana.edu/~jev9637/MCHE485.html)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np # Grab all of the NumPy functions with nickname np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# We want our plots to be displayed inline, not in a separate window\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Import the plotting functions \n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Define the System Parameters\n", "m = 1.0 # kg\n", "k = (2.0 * np.pi)**2 # N/m (Selected to give an undamped natrual frequency of 1Hz)\n", "wn = np.sqrt(k / m) # Natural Frequency (rad/s)\n", "\n", "z = 0.25 # Define a desired damping ratio\n", "c = 2 * z * wn * m # calculate the damping coeff. to create it (N/(m/s))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use the closed-form, steady-state solution we developed in lecture:\n", "\n", "Assume:\n", "\n", "$ \\quad f(t) = \\bar{f} \\sin{\\omega t} $\n", "\n", "Then, the solution $x(t)$ should have the form:\n", "\n", "$ \\quad x(t) = | x | \\sin{\\left( \\omega t + \\phi \\right) } $\n", "\n", "Substituting this assumed solution into the equation of motion and solving for $ \\bar{x} $ and $ \\phi $: \n", "\n", "$ \\quad | \\bar{x} | = \\frac{\\bar{f}}{m} \\left( \\frac{1}{\\sqrt{\\left(\\omega_n^2 - \\omega^2\\right)^2 + \\left(2 \\zeta \\omega_n \\right)^2}} \\right) $\n", "\n", "and\n", "\n", "$ \\quad \\phi = \\tan^{-1}\\left({\\frac{2 \\zeta \\omega_n \\omega}{\\omega_n^2 - \\omega^2}}\\right) $\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transfer Function Form\n", "$ \\quad \\left| G(\\omega) \\right| = \\frac{1}{m \\sqrt{\\left(\\omega_n^2 - \\omega^2\\right)^2 + \\left(2 \\zeta \\omega_n \\right)^2}} $\n", "\n", "### Normalization\n", "We can also nondimensionalize/normalize this by defining $ \\Omega = \\frac{\\omega}{\\omega_n} $.\n", "\n", "$ \\quad \\left| G(\\Omega) \\right| = \\frac{1}{k \\sqrt{\\left(1 - \\Omega^2\\right)^2 + \\left(2 \\zeta \\Omega \\right)^2}} $\n", "\n", "and\n", "\n", "$ \\quad \\phi = \\tan^{-1}\\left({\\frac{2 \\zeta \\Omega}{1 - \\Omega^2}}\\right) $\n", "\n", "Let's plot the normalized versions." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Set up input parameters\n", "wun = np.linspace(0,5,500) # Frequency range for freq response plot, 0-4 Omega with 500 points in-between\n", "w = np.linspace(0,5,500) # Frequency range for freq response plot, 0-4 Omega with 500 points in-between\n", "\n", "# Let's examine a few different damping ratios\n", "z = 0.0\n", "mag_normal_un = 1/(k*np.sqrt((1 - w**2)**2 + (2*z*w)**2))\n", "phase_un = -np.arctan2((2*z*w),(1 - w**2)) * 180/np.pi\n", "\n", "# Let's mask the phase discontinuity, so it isn't plotted\n", "pos = np.where(np.abs(k*mag_normal_un) >= 25)\n", "phase_un[pos] = np.nan\n", "wun[pos] = np.nan\n", "\n", "\n", "z = 0.1\n", "mag_normal_0p1 = 1/(k*np.sqrt((1 - w**2)**2 + (2*z*w)**2))\n", "phase_0p1 = -np.arctan2((2*z*w),(1 - w**2)) * 180/np.pi\n", "\n", "\n", "z = 0.2\n", "mag_normal_0p2 = 1/(k*np.sqrt((1 - w**2)**2 + (2*z*w)**2))\n", "phase_0p2 = -np.arctan2((2*z*w),(1 - w**2)) * 180/np.pi\n", "\n", "\n", "z = 0.4\n", "mag_normal_0p4 = 1/(k*np.sqrt((1 - w**2)**2 + (2*z*w)**2))\n", "phase_0p4 = -np.arctan2((2*z*w),(1 - w**2)) * 180/np.pi" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAGbCAYAAAAcBz5mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's plot the magnitude (normlized by k G(Omega))\n", "\n", "# 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(r'Normalized Frequency ($\\Omega$)',family='Serif',fontsize=22,weight='bold',labelpad=5)\n", "plt.ylabel(r'$k |G(\\Omega)|$',family='Serif',fontsize=22,weight='bold',labelpad=35)\n", "\n", "plt.plot(wun, k*mag_normal_un, linewidth=2, label=r'$\\zeta$ = 0.0')\n", "plt.plot(w, k*mag_normal_0p1, linewidth=2, linestyle = '-.', label=r'$\\zeta$ = 0.1')\n", "plt.plot(w, k*mag_normal_0p2, linewidth=2, linestyle = ':', label=r'$\\zeta$ = 0.2')\n", "plt.plot(w, k*mag_normal_0p4, linewidth=2, linestyle = '--',label=r'$\\zeta$ = 0.4')\n", "\n", "plt.xlim(0,5)\n", "plt.ylim(0,7)\n", "\n", "leg = plt.legend(loc='upper right', fancybox=True)\n", "ltext = leg.get_texts()\n", "plt.setp(ltext,family='Serif',fontsize=16)\n", "\n", "# save the figure as a high-res pdf in the current folder\n", "# plt.savefig('Forced_Freq_Resp_mag.pdf',dpi=300)\n", "\n", "fig.set_size_inches(9,6) # Resize the figure for better display in the notebook" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAGYCAYAAACXjTyPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Now let's plot the phase\n", "\n", "\n", "# Plot the Phase Response\n", "# 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(r'Normalized Frequency ($\\Omega$)',family='Serif',fontsize=22,weight='bold',labelpad=5)\n", "plt.ylabel(r'Phase (deg.)',family='Serif',fontsize=22,weight='bold',labelpad=8)\n", "\n", "plt.plot(wun, phase_un, linewidth=2, label=r'$\\zeta$ = 0.0')\n", "plt.plot(w, phase_0p1, linewidth=2, linestyle = '-.', label=r'$\\zeta$ = 0.1')\n", "plt.plot(w, phase_0p2, linewidth=2, linestyle = ':', label=r'$\\zeta$ = 0.2')\n", "plt.plot(w, phase_0p4, linewidth=2, linestyle = '--', label=r'$\\zeta$ = 0.4')\n", "\n", "plt.xlim(0,5)\n", "plt.ylim(-190,10)\n", "plt.yticks([-180,-90,0])\n", "\n", "leg = plt.legend(loc='upper right', fancybox=True)\n", "ltext = leg.get_texts()\n", "plt.setp(ltext,family='Serif',fontsize=16)\n", "\n", "# save the figure as a high-res pdf in the current folder\n", "# plt.savefig('Forced_Freq_Resp_Phase.pdf',dpi=300)\n", "\n", "fig.set_size_inches(9,6) # Resize the figure for better display in the notebook" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAoEAAAKFCAYAAACzwjOuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQAwCiYiIiGag/wdBEY8YQdK0QQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's plot the magnitude and phase as subplots, to make it easier to compare\n", "\n", "# 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, (ax1, ax2) = plt.subplots(2, 1, sharex = True, figsize=(8,8))\n", "\n", "plt.subplots_adjust(bottom=0.12,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", "\n", "ax1.spines['right'].set_color('none')\n", "ax1.spines['top'].set_color('none')\n", "ax1.xaxis.set_ticks_position('bottom')\n", "ax1.yaxis.set_ticks_position('left')\n", "ax1.grid(True,linestyle=':',color='0.75')\n", "ax1.set_axisbelow(True)\n", "\n", "ax2.spines['right'].set_color('none')\n", "ax2.spines['top'].set_color('none')\n", "ax2.xaxis.set_ticks_position('bottom')\n", "ax2.yaxis.set_ticks_position('left')\n", "ax2.grid(True,linestyle=':',color='0.75')\n", "ax2.set_axisbelow(True)\n", "\n", "plt.xlabel(r'Normalized Frequency $\\left(\\Omega = \\frac{\\omega}{\\omega_n}\\right)$',family='serif',fontsize=22,weight='bold',labelpad=5)\n", "plt.xticks([0,1],['0','$\\Omega = 1$'])\n", "\n", "# Magnitude plot\n", "ax1.set_ylabel(r'$ k|G(\\Omega)| $',family='serif',fontsize=22,weight='bold',labelpad=40)\n", "ax1.plot(wun, k*mag_normal_un, linewidth=2, label=r'$\\zeta$ = 0.0')\n", "ax1.plot(w, k*mag_normal_0p1, linewidth=2, linestyle = '-.', label=r'$\\zeta$ = 0.1')\n", "ax1.plot(w, k*mag_normal_0p2, linewidth=2, linestyle = ':', label=r'$\\zeta$ = 0.2')\n", "ax1.plot(w, k*mag_normal_0p4, linewidth=2, linestyle = '--',label=r'$\\zeta$ = 0.4')\n", "ax1.set_ylim(0.0,7.0)\n", "ax1.set_yticks([0,1,2,3,4,5],['0', '1'])\n", "\n", "ax1.leg = ax1.legend(loc='upper right', fancybox=True)\n", "ltext = ax1.leg.get_texts()\n", "plt.setp(ltext,family='Serif',fontsize=16)\n", "\n", "# Phase plot \n", "ax2.set_ylabel(r'$ \\phi $ (deg)',family='serif',fontsize=22,weight='bold',labelpad=10)\n", "# ax2.plot(wnorm,TFnorm_phase*180/np.pi,linewidth=2)\n", "ax2.plot(wun, phase_un, linewidth=2, label=r'$\\zeta$ = 0.0')\n", "ax2.plot(w, phase_0p1, linewidth=2, linestyle = '-.', label=r'$\\zeta$ = 0.1')\n", "ax2.plot(w, phase_0p2, linewidth=2, linestyle = ':', label=r'$\\zeta$ = 0.2')\n", "ax2.plot(w, phase_0p4, linewidth=2, linestyle = '--', label=r'$\\zeta$ = 0.4')\n", "ax2.set_ylim(-200.0,20.0,)\n", "ax2.set_yticks([0, -90, -180])\n", "\n", "ax2.leg = ax2.legend(loc='upper right', fancybox=True)\n", "ltext = ax2.leg.get_texts()\n", "plt.setp(ltext,family='Serif',fontsize=16)\n", "\n", "# Adjust the page layout filling the page using the new tight_layout command\n", "plt.tight_layout(pad=0.5)\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('MassSpring_SeismicTF.pdf',dpi=300)\n", "\n", "fig.set_size_inches(9,9) # Resize the figure for better display in the notebook" ] }, { "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": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# This cell will just improve the styling of the notebook\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 }