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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",
"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",
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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m6x2R5XnoSzUOqfelOv9NklnTgqPZXBFlWuJjDJ6bm+QNr58gMaodkeQYRBOtvoLNpVZo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95tO9AD6Od9/YfINllihf6H6V7qO3dT/7mX+k6k4WRlZWGMISsrq0GK+J1MYmIi/fv3Z9GiRfzy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\nNsxmXgAAAABJRU5ErkJggg==\n",
]
},
"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],-1e3*series[:,2],label='N=%d'%(series[0,0]),c=cm(i/len(raw_data)))\n",
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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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