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{
"cells": [
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING: pylab import has clobbered these variables: ['cm']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n"
]
}
],
"source": [
"from __future__ import division\n",
"from numpy import *\n",
"%pylab inline\n",
"rcParams.update({'font.size': 18})"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"data = {}\n",
"with open('coil-coil-force.csv','r') as datafile:\n",
" for i in range(5):\n",
" datafile.readline() #strip headers\n",
" #magnet_os = [item.split(',')[0] for item in datafile.readline().split('magnet_os=') if item is not ''][1:]\n",
" #magnet_os = 1e6*asarray(map(float,magnet_os))\n",
" #Ns = [10+5*i for i in range(8)]\n",
" #gaps = [300 + 100*i for i in range(6)]\n",
" raw_data = []\n",
" for line in datafile.readlines():\n",
" raw_data.append([float(item) for item in line.strip('\\n').split(',') if item is not ''])\n",
" raw_data = asarray(raw_data).reshape(9,6,-1)\n",
" #raw_data = asarray(raw_data)[:,2:].reshape(9,6,-1)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0, 0.15818192466432918)"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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wN3RhxhXg3wmMAbO0eRlZWMhgoi2WfQFTPTOmawycbHuKGAkTEUckTJrEcRzz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\nlF5bApbVO8yiQ1iv2KGQJ3Nw0rt8Zd12BAuXgV3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id8K9LWDJyTfLHMfHeo+w9IiD1lGS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M6dOykvL6dDhw7cfvvtTJ8+nXHjxvm8tlmzZrz33nukpqaydu1a3nzzTZo1a8Ztt93G448/Tr9+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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e776650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cm = plt.get_cmap('cool')\n",
"figure(figsize=(10,8))\n",
"for i,series in enumerate(raw_data):\n",
" plot(series[:,1],-series[:,2],label='N=%d'%(series[0,0]),c=cm(i/len(raw_data)))\n",
"legend(loc=(1.05,0))\n",
"xlabel('gap (um)')\n",
"ylabel('Force (N)')\n",
"grid(True)\n",
"ylim([0,-1.1*amin(raw_data[:,:,2])])"
]
},
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{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"data = {}\n",
"with open('magnet-coil-force.csv','r') as datafile:\n",
" for i in range(5):\n",
" datafile.readline() #strip headers\n",
" #magnet_os = [item.split(',')[0] for item in datafile.readline().split('magnet_os=') if item is not ''][1:]\n",
" #magnet_os = 1e6*asarray(map(float,magnet_os))\n",
" #Ns = [10+5*i for i in range(8)]\n",
" #gaps = [300 + 100*i for i in range(6)]\n",
" raw_data = []\n",
" for line in datafile.readlines():\n",
" raw_data.append([float(item) for item in line.strip('\\n').split(',') if item is not ''])\n",
" raw_data = asarray(raw_data).reshape(7,6,-1)\n",
" #raw_data = asarray(raw_data)[:,2:].reshape(9,6,-1)"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0, 0.44002382907818138)"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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reJ4Q0IOt6O0DfgP4IPBBY8yDvseVA9gi0OWefg34c2PMFy/wORTAGky+CM/M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\npgxWxqhRo8jIyKhU2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McDtAp9bQakxGobSsj2RrQVERERERGJu0QnYI3wdi2M5WhEm4qO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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10eca3910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cm = plt.get_cmap('cool')\n",
"figure(figsize=(10,8))\n",
"for i,series in enumerate(raw_data):\n",
" plot(series[:,1],series[:,2],label='w=%.1f mm'%(series[0,0]),c=cm(i/len(raw_data)))\n",
"legend(loc=(1.05,0))\n",
"xlabel('gap (um)')\n",
"ylabel('Force (N)')\n",
"grid(True)\n",
"ylim([0,1.1*amax(raw_data[:,:,2])])"
]
},
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{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'magnet_os' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-4-0f8b8e9ee4a1>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mcm\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_cmap\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'cool'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mstroke\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlinspace\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mamin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmagnet_os\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mamax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmagnet_os\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m100\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mdpi\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m600\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mcurrent_ind\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mgap_ind\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m3\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mNameError\u001b[0m: name 'magnet_os' is not defined"
]
}
],
"source": [
"cm = plt.get_cmap('cool')\n",
"stroke = linspace( amin(magnet_os), amax(magnet_os), 100)\n",
"figure(figsize=(12,10),dpi=600)\n",
"current_ind = 2\n",
"gap_ind = 3\n",
"matplotlib.rcParams.update({'font.size': 18})\n",
"for i,series in enumerate(raw_data[gap_ind,::-1]):\n",
" f = interp1d(magnet_os, series, kind=3)\n",
" plot(magnet_os,series,ls='',marker='+',c=cm((11-i)/11))\n",
" plot(stroke,f(stroke),label='%.1f A'%(currents[::-1][i]),c=cm((11-i)/11))\n",
"#legend(loc=(1.01,.01))\n",
"xlabel('stroke (um)')\n",
"ylabel('Force (N)')\n",
"#title('Linear Motor, %d um gap'%(1e6*gaps[gap_ind]))\n",
"ylim([-.15,.3])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'magnet_os' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-5-d31a02cbe3fa>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mcm\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_cmap\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'cool'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mstroke\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlinspace\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mamin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmagnet_os\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mamax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmagnet_os\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m100\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mseries\u001b[0m \u001b[0;32min\u001b[0m \u001b[0menumerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mraw_data\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mz\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpoly1d\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpolyfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmagnet_os\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mseries\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m11\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mNameError\u001b[0m: name 'magnet_os' is not defined"
]
}
],
"source": [
"cm = plt.get_cmap('cool')\n",
"stroke = linspace( amin(magnet_os), amax(magnet_os), 100)\n",
"figure(figsize=(12,10))\n",
"for i,series in enumerate(raw_data[:,0]):\n",
" z = poly1d(polyfit(magnet_os, series,11))\n",
" plot(magnet_os,series,label='gap=%d um'%(1e6*gaps[i]),ls='',marker='+',c=cm(i/5))\n",
" plot(stroke, z(stroke),c=cm(i/5))\n",
"legend(loc='lower right')\n",
"xlabel('stroke (um)')\n",
"ylabel('X Force (N)')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
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