From e7e5a9e4871a41781630e7e33016077f229cc136 Mon Sep 17 00:00:00 2001
From: Sam Calisch <s.calisch@gmail.com>
Date: Sat, 8 Dec 2018 12:41:33 -0500
Subject: [PATCH] update

---
 comsol/analysis.ipynb                | 142 +++++++++++++++-------
 comsol/magnet-coil-force-big-gap.csv |  82 +++++++++++++
 comsol/magnet-coil-force-no-gap.csv  |  41 +++++++
 comsol/magnet-coil-speaker.mph       | Bin 212380 -> 339801 bytes
 img/hex-sim.png                      | Bin 0 -> 499255 bytes
 script/2018.12.7-hex-speaker.py      | 174 +++++++++++++++++++++++++++
 6 files changed, 397 insertions(+), 42 deletions(-)
 create mode 100644 comsol/magnet-coil-force-big-gap.csv
 create mode 100644 comsol/magnet-coil-force-no-gap.csv
 create mode 100644 img/hex-sim.png
 create mode 100644 script/2018.12.7-hex-speaker.py

diff --git a/comsol/analysis.ipynb b/comsol/analysis.ipynb
index 5de5361..74fee4c 100644
--- a/comsol/analysis.ipynb
+++ b/comsol/analysis.ipynb
@@ -158,71 +158,129 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 67,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "data = {}\n",
+    "with open('magnet-coil-force-no-gap.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(6,6,-1)\n",
+    "    #raw_data = asarray(raw_data)[:,2:].reshape(9,6,-1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 70,
    "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"
-     ]
+     "data": {
+      "text/plain": [
+       "(0, 0.80655997044850736)"
+      ]
+     },
+     "execution_count": 70,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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WiDsUsm5y/RMTQeA6exbWrLGBa+tW6OxcvW1qWdMK9wdthd0PQMuW4qjuLba2wKQgdghm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4ezbt06brjhBtq3b0/Tpk058cQTGT9+fHnbmTNn0qdPH/Lz82nRogUXX3wxixcvrnH/q5ObtiuJ\niIiIiDRgnTp1YtiwYYwbNw4z46qrriqvS16DZWYsW7aMbt260aRJE3r16sXKlSt54403uPHGG9mw\nYQN33HFHvfa/tLSU+++/HzNj2LBhNT5v/vz5AHTr1i1lfVn5ggULanxNM8PMWLp0Kd27d6d169b0\n7t2bJUuWMGfOHPr27cuMGTOYO3cud999N2eddRYXXnghs2fP5oUXXmDhwoXMnz+fRo0a7XHd9evX\nc+qpp7J161Z69uxZ/r4PHjyYnTt3kpuby9ChQ+nRowcXXHAB8+bNY/r06bz77ru8//775Ofn1/h1\nVMrd99sjvHwRERGR7Bd9b9H3pCxgZp6Tk1Np/b333lve5uabb/bdu3eX102aNMnNzPPy8nzz5s0p\nz6vNUVU/XnvtNR82bJgPGTLE+/Tp482aNfO2bdv62LFja/V6BwwY4Dk5OT5mzJiU9evXry/vy6ZN\nm2p0zcT36Pbbb69Qd/fdd7uZeceOHb1Vq1Y+Z86c8rrPP//cO3fu7Dk5Of7MM89UOG/cuHHl1xw0\naJDv2LGjvG7s2LFuZt62bVtv1aqVT5s2rbxu+/bt3qtXL8/JyfH77ruvRv13r/pvUiNZIiIiIiJ1\noEOHDowePbrCKNeAAQPo0qULxcXFzJs3jzPPPLO8rmvXrrUaYYKqdzFcvHgxzzzzTIWy8847jxNO\nOKFWz7Fx40YAmjVrlrK+efPm5f+9YcMGmjZtWuNrH3nkkYwaNapC2W233UZhYSElJSX86Ec/okeP\nHuV1eXl5XHfdddxyyy0UFRUxZMiQPa6Zl5fHI488Uj41EmD48OHcddddrFq1isGDB9O3b9/yukaN\nGpVfr6ioiHvuuafG/a+MkiyJraKiIu2UFVOKXbwpfvGl2InUr169eu0xnQ3gmGOOobi4mE8++aRC\neb9+/ejXr1/anv/aa6/l2muvZdeuXSxbtoznn3+ewsJCXn75ZaZNm0afPn3S9lx765xzzqmQDAG0\nbNmSgoIC1q1bl7KPRx11FMAe71+Zbt260bp16wplOTk5dOjQgdLS0r26Zm0pyRIRERGRtCrukrnn\nPvb9zD13svbt26csb9GiBQDbtm2rl34ccMABdOzYkbvuuosjjjiCoUOHcvPNN1NcXFyj88tGqjZt\n2pSyvmykC758bTV1+OGHV/qc69atS1lf1p/K3r+qrllZfXXXrC0lWRJb+jU2vhS7eFP84kuxk/qS\nTYlOJuXk1G4j76lTpzJlypRaP09ttk4fOHAgI0aMYPHixZSWllJQUFDtOR06dABg+fLlKetXrFgB\nQH5+fq2mCkL171Ft38O6umZtKckSEREREckCCxYs2GMNVXXMrFZJVm5uLi1btmTNmjVs3LixRknW\nSSedhLvzzjvvpKwvK+/atWuN+9HQ6T5ZElu630t8KXbxpvjFl2Inkh5l66x2796d1uuOHDmSXbt2\n1erYuXNnrZ6juLiY1atX06JFi0qn1SW76KKLyM3NZdasWSnXLI0fPx4zo3///rXqS0OmJEtERERE\npBbatWsHwKJFiyptU9Wuf3Vp7dq1PPHEEynXTy1cuJBBgwZhZgwfPnyPGygPHTqUzp0789hjj1Uo\nLygo4Oqrr2bHjh2MGDGC7du3l9c9/fTTvPLKKxx66KFp3Rkx7jRdUGJLawviS7GLN8UvvhQ7kfTo\n378/Dz30EL1796Z3797lmyaMHTu2vE24jVL927RpU/kW5yeffDLt27dn+/btlJSUlN8s+Pzzz6ew\nsHCPc5cvX84HH3zA2rVr96gbPXo0c+bMYcaMGXTq1InTTz+dFStWMHv2bBo3bsxzzz1X6/VYmXqP\n6oOSLBERERGRWhg1ahQ5OTlMnjyZyZMns2PHDsysQpJlZhkZqTnkkEN48MEHKSoq4v333+e9995j\nx44dHHTQQfTt25dBgwZx2WWX1fq6eXl5vPXWWxQWFjJhwgSmTZtGXl4el112Gffccw/HHXdcra9Z\n3XtUXV2q+rq45t6whpxBVsfMfH9+/XGn+73El2IXb4pffCl28WZmuHu9fWvX9ySRqlX1N6k1WSIi\nIiIiImmkkaz9+PWLiIhIfGgkSyS7aCRLRERERESknijJktjS/V7iS7GLN8UvvhQ7EZH6kfEky4Jb\nzWyRmW0xs4/N7AEzq/EekGZ2kZm9aWYbzazUzCaY2VfrrtciIiIiIiKpZXxNlpk9DNwITAJmAJ2B\nm4DX3f28Gpw/APgDMB94EmgJ3ArsBLq7+8oqztVcYxEREYkFrckSyS5V/U1mNMkys2OBhcAkd788\nofwHwBjgSnd/vorzc4FlwDagi7tvicpPBN4BnnT366o4Xx8eIiIiEgtKskSySzZvfHFl9PhQUvlY\nYDMwuJrzzwbaEpKpLWWF7v53oAj4jpkdkJ6uSrbR2oL4UuziTfGLL8VORKR+ZDrJ6g7sBuYmFrr7\nNmABcEo1558COPB2irq3gTzg6H3vpmSjBQsWZLoLspcUu3hT/OJLsRMRqR+ZTrIOA9a6+44Udf8C\nDoqmBFZ1flnbVOcDtNuH/kkW++yzzzLdBdlLil28KX7xpdiJiNSPTCdZTQnrqVLZmtCmqvOp5Bo1\nOV9ERERERCStMp1kbQYaV1J3YEKbqs6nkmvU5HyJsZKSkkx3QfaSYhdvil98KXYiIvUj07sLzgDO\nBZomTxk0s1nA19z90CrOvwMYBfRx95lJdT8B7gSOc/dFlZyvLXNEREQkNupzd8EmTZqs3Lp1a6Xf\nw0T2dwceeOCqLVu2tElVV9V6p/owF+gD9ADeLCs0s8ZAV8IOgdWdb8BpwMykutOAL4APKju5Pj+o\nREREROKksi+PIlK9TE8XfCF6vCWp/HtAE+C5sgIza2Nmx5hZk4R2fwU+Bb5rZk0T2p5I2N59grvv\nqpOei4iIiIiIpJDR6YIAZjYG+D4wBXgJOBa4EXjD3c9NaDcOGAqc4+6vJ5RfCjwPvEe4v1ZLQtK2\nC+ju7p/WzysRERERERHJ/EgWwM3AfxKSq18BlwMPA32T2jnhnloVC90nApcQdhMcDdxGGOHqqQRL\nRERERETqW8aTLA9+6e6d3b2Ju7d399vcfXNSu6vdPTdpFOtoM/s98AAhSTOgFFib6rmi9lPMbJ2Z\nbTSz182sVyVtzcxuNbNFZrbFzD42swcSpyVKeplZEzNbYma7oxHO5HrFL4tEcUp1fJGirWKXhcys\ndfTefhi916vNbKaZnZHUTvHLImY2soq/v91mti2pveKXRcyswMwKzaw4iscaM3vTzK5K0VaxE4mp\nTG98sa8OB9oAfwRWADuB44HhwBVmdrK7lwCYWUfgLWA78DPCphgjgJfN7MLk3QmBhwjTFicRkrjO\nwE2EDTnOq9uXtd/6b6CAMGpZgeKXtV4HnkgqS94pVLHLQmZ2BGHUvynwW8ImQS2BE0i4ibvil5Um\nAR+mKD+RMJtjWlmB4pddzOwrwBvA14BxwC8If4NXAE+Z2b+5+51RW8VOJM7cvcEdwKWEqYUjE8om\nEL78HZ9Q1gwoARYlnX8sYU3XhKTyH0TXHZjp19jQDuDkKD63RO/xmKR6xS/Ljui9/F0N2il2WXgQ\nvugtAw5R/BrGATwevf8XKn7ZeRBuW7MbeCCpPBf4CFin2OnQ0TCOjE8XrCMfR487AKKh8r7Aa+6+\nsKyRu28CngSONrPuCedfGT0+lHTdsYSbGw+ui07vr8wsh/DevgRMTlGv+GUxM2tkZs0qqVPsspCZ\nnQWcAfzc3VebWa5V3Lm1rJ3iFxNRrL5DmNXxckKZ4pddypZCVFgz7u47CUsdNoFiJ9IQNIgky8wa\nR3Oc25nZ+cBvCL/Q/jZqcgLQGHg7xelvE9ZynZJQ1p3wy8/cxIbuvg1YkNRW9t2/A0cTfnFLRfHL\nXpcS/gHfYGarzGyMmeUl1Ct22ekbhGm5K8zsRWALsMnMFpvZoIR2il98XA7kAU+5e9mUa8Uvy7j7\nW4QfFG83s0vNrL2F29P8lDCjY2TUVLETibkGkWQB3wXWAMuBGYQRrDPdfVVUf1j0+K8U55aVtUso\nOwxY6+47Kml/kJnFfT1bVjCzI4F7gR+7+/JKmil+2WkO4QvBtwm3V3iVkCi/nrDQWrHLTscQvqSN\nBVoBQ4CrgW3AswkL8BW/+LiG8CX7qYQyxS879SOsJZ9A+EF4EXA98G13/13URrETibmG8gc3mfAh\n1Rw4ibDw83UzO9fdlxIWlUL4ApFsa/SYuPtO00raJrffYxc1qbXfAP8EfllFG8UvC7n7aUlFvzez\nhcAowq0Zfopil61aRI9fAL2iqUqY2VRgCVAIPI3iFwtmdjRh+uf/uvuyhCrFL8tEic4fgAsJt52Z\nDeQT7hc63swucfdXUexEYq9BjGS5+yfuPtPdp7n7j4FehF91yr64l82Bbpzi9AOT2pT9d6q2lbWX\nvWBmgwmLgK93911VNFX84mM0YSesi6P/V+yy0xbCdMHxZQkWgLt/RtiZro2ZHYPiFxffJcTzyaRy\nxS/7XEsYybrJ3X/o7lPd/SngTGAlMNbMDMVOJPYaRJKVLFokOh84Oyr6JHpsl6J5WVnikPwnhKH1\nRpW0X5v4xURqL9rG9kHC3PTVZnaUmR0FfDVq0jIqa4niFxvR+/oJcFBUpNhlpxXR48oUdWUL8luj\n+GU9MzuAMN2zFJiSVK34ZZ9zCQnxxMRCd98C/BnoQPh3ULETibkGmWRFmhDmpwMsJAyjJ09vIipz\nYF5C2VzCe9MjsaGZNSbcb6LCwlLZK02AgwkjHh8mHK8R4jGEcN+ea1D8YiN6jw8HytZDKnbZ6W+E\nNVmHp6hrHz2uRvGLg0uAQ4FnU6zHUfyyT1kSdECKutyER8VOJOZinWSZ2aGVlPcCjgP+AuVbnr4I\nnGNmxye0a06YZvGBuyd+AL0QPd6SdOnvEZKD59LyAvZvmwg7010WPZYd1xO+/E2P6qYpftnHzPIr\nqfoJ4cvDNNDfXhabAmwABidsUoKZtSVMZVrs7ksUv1i4hvCF+3fJFYpfVppL+DduWGKhmbUCvgWs\nB/6p2InEn32502v8mNkfgbbATMIOPQcC3YCBhPtN9Iw2viCaijYH2ElYq/UF4cOnC3CRu/8l6dpj\nCAtRpxCmtB1L2FDjDXc/t85f3H7KzDoAS4FfuftNCeWKXxYxs18ApxJGHj8mbDpzEWE95FtA72jr\nYMUuS5nZCMLGM8WEL+iNgeuANsDF0eJ7xS+LmdlhhH/75rr76ZW0UfyyiJkVAO8SpvD9D/AmUEBI\nnDoAN7j741FbxU4kzjJ9N+R9OQgjH9MI/8hsJoyO/AO4Hzg4RftjCDsRrgM2An8l7KyV6toG3ErY\ntXALYXv40UDTTL/uhnwQ/pHZBTys+GXvQZiiND16XzcTRkXeBX4IfEWxi8dB+OV8dhS/z6OYnqr4\nxeMA7ow+L4dX007xy6KD8EPGr4ESwpTAz4AioJ9ip0NHwzliPZIlIiIiIiKSbWK9JktERERERCTb\nKMkSERERERFJIyVZIiIiIiIiaaQkS0REREREJI2UZImIiIiIiKSRkiwREREREZE0UpIlIiIiIiKS\nRkqyRERERERE0khJlohIHTGz683sczNrneF+/NHMZmayDyIiIvsTc/dM90FEpMExszzgQ+BRd78v\nw305AZgP9HP3P2WyLyIiIvsDJVkiInXAzO4ERgLt3L00C/rzKtDc3b+e6b6IiIg0dJouKCKSZmZm\nwPeA6dmQYEWeBbqbWddMd0RERKShU5IlIrFkZh3MbFK05ulzM5sclZUkrz8ys++Y2VQzW2ZmW81s\nTdT++BTXLTGzmWZ2UvS4wcxKzWycmR1cw+71ADoAL6W4fpGZLank9ew2s/9KKDs7Khsare9aZGZb\nzOwfZnZJ1OYEM5sevQdrzexhMzsgRZ+mAwZcXsPXICIiInspN9MdEBGpLTPLB2YBBwO/Bv4POBMo\nApqkOOX7wFrgcWAlcBRhpGmWmZ3s7h8ltHWgPfAqMBGYAJwMXAN0M7NT3H1rNTw44N4AAAPgSURB\nVF08O7rO31LU7c0c7R8ArYAnga3ATcBEMxsEPAY8B0wGzgduBFYBhRWe1H2VmZUA5+zF84uIiEgt\nKMkSkTi6AzgMGOTuz0dlj5vZz4HbUrS/wN23JBaY2TPA34FbCUlMoo7ALe7+SEL7YuAXhATn/mr6\nd2z0+FGVrWquLdDZ3TdGfXmN0PfngQHuPjVq94SZzSMklYUprvMRYZRNRERE6pCmC4pIHH0T+DQh\nwSrzQKrGiQmWmbUwswKgFFgMpNoI4gvCCFmix6Ly/jXo38HAzrKkKA2eSryWuy+M+vKvhASrzCyg\njZk1TXGdUqC5mTVOU79EREQkBSVZIhJHRwL/TC509zXAZ8nl0fqqP5nZBuBzYA2wGjgeSHUPqyXu\nvjPp2tuBJYRRruqke9vWpSnK1ldRDlCQos6iR20rKyIiUoc0XVBEGjQzaw/8lZBc/Rj4ANhESDQe\nBprVwdOuAXLNrIW7b0iqqyzBqerzeFcty+HLhCpRPrAxShhFRESkjijJEpE4KgE6JRdGu/+1Siru\nT0ikvunurye1LyBsJJGso5nlJo5mmdlXCKNYi2rQv39Ej18D3k2qW0fYSCPZUTW47r7qxJd9ExER\nkTqi6YIiEkcvAm3N7Iqk8lSbXpSN9lT4vDOzEUCbSq6fR9g8ItH3o/LJNehfEWEk6dQUdR8ALcys\ne0JfjLABR51N4zOzQwnbyhfV1XOIiIhIoJEsEYmjnwNXAk+Z2df5cgv30wlT9RKTlenAFuD3ZvYr\nwpqlM4BvEHbbS3VPqY+A/zKz44B3gO7A1UAx8EiK9hW4+zvRvbAuImyYkegJ4D+AKWb2MLAduDTq\nR6opfulyMeF9mViHzyEiIiJoJEtEYsjdSwmJ0p8Iyc/PCFMCexM+17YktF0CXEjYtOJO4KeEKYVn\nAytIPXq0AjiXMD1wNGHK4bNAr+St4KvwOHB+8g2M3b0E6EfYeOM+wujbG8BVUV+S+1PV6FZtRr4G\nA/PcfX4tzhEREZG9YO7aZEpEGoboJsVrgd+4+w17eY2lwFJ3772PfWkBfAiMdfd79uVa+8rMuhJG\n5C5x9z9nsi8iIiL7A41kiUgsmdmBKYrvJIzuvFLP3dlDtKvgSOBGM0u1TXx9Ggm8pgRLRESkfmgk\nS0RiycxmAssIu/flAOcR1h3NAs72vfxwS9dIloiIiOy/tPGFiMTVi8BQ4FtAE8I6qtHAfXubYCXQ\nr08iIiKy1zSSJSIiIiIikkZakyUiIiIiIpJGSrJERERERETSSEmWiIiIiIhIGinJEhERERERSSMl\nWSIiIiIiImmkJEtERERERCSN/h+n4FY3SqY/9gAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10e6f71d0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "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",
+    "figure(figsize=(10,8))\n",
+    "for i,series in enumerate(raw_data):\n",
+    "    plot(series[:,1],series[:,2],label='th=%.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",
-    "#title('Linear Motor, %d um gap'%(1e6*gaps[gap_ind]))\n",
-    "ylim([-.15,.3])"
+    "grid(True)\n",
+    "ylim([0,1.1*amax(raw_data[:,:,2])])"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 72,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "data = {}\n",
+    "with open('magnet-coil-force-big-gap.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(11,7,-1)\n",
+    "    #raw_data = asarray(raw_data)[:,2:].reshape(9,6,-1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 75,
    "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"
-     ]
+     "data": {
+      "text/plain": [
+       "(200, 800)"
+      ]
+     },
+     "execution_count": 75,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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wy42ZzE2EJAd+XgD9D8GP8+GjUij1/tsd7oHhsXB/Z/hXb/hTT+gSDn8+BOO/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\niIiISBOiJE9ERERERKQJ+X9Ij/WGc16QzwAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10ea9f490>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "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)')"
+    "figure(figsize=(10,8))\n",
+    "for i,series in enumerate(raw_data):\n",
+    "    plot(series[:,1],series[:,2],label='pitch=%.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])])\n",
+    "xlim([200,800])"
    ]
   },
   {
diff --git a/comsol/magnet-coil-force-big-gap.csv b/comsol/magnet-coil-force-big-gap.csv
new file mode 100644
index 0000000..df0a9b7
--- /dev/null
+++ b/comsol/magnet-coil-force-big-gap.csv
@@ -0,0 +1,82 @@
+% Model,magnet-coil-speaker.mph
+% Version,COMSOL 5.3.1.275
+% Date,"Dec 7 2018, 20:20"
+% Table,"Table 1 - Global Evaluation 1 (mf.Forcex_0, mf.Forcey_0)"
+% magnet_pitch (mm),gap (um),"Electromagnetic force, y component (N)"
+3,199.99999999999997,0.8641894983096053
+3,300,0.7815188844003927
+3,399.99999999999994,0.706047793607393
+3,500,0.6372080475337328
+3,600,0.5748167735488693
+3,700,0.5182462275053145
+3,799.9999999999999,0.4671380641834507
+3.5,199.99999999999997,0.9207138425787319
+3.5,300,0.8399417851019988
+3.5,399.99999999999994,0.7660594387459269
+3.5,500,0.6986703234978027
+3.5,600,0.6373286560425424
+3.5,700,0.5815497137707148
+3.5,799.9999999999999,0.5306656635101766
+4,199.99999999999997,0.9197744649328616
+4,300,0.8432310017902835
+4,399.99999999999994,0.7740759080111601
+4,500,0.7114392312992569
+4,600,0.6546134132920624
+4,700,0.6028383472128684
+4,799.9999999999999,0.5554313260883948
+4.500000000000001,199.99999999999997,0.8610976632048059
+4.500000000000001,300,0.79525499546552
+4.500000000000001,399.99999999999994,0.736549485844198
+4.500000000000001,500,0.6835828788308063
+4.500000000000001,600,0.6352322768447947
+4.500000000000001,700,0.5908568125009463
+4.500000000000001,799.9999999999999,0.5499090117204061
+5,199.99999999999997,0.7460372217962541
+5,300,0.7037125188212451
+5,399.99999999999994,0.663500613606545
+5,500,0.6253558455213473
+5,600,0.5892259158988559
+5,700,0.5549569391092586
+5,799.9999999999999,0.5225056208474643
+5.5,199.99999999999997,0.6172958174794003
+5.5,300,0.5987078803522339
+5.5,399.99999999999994,0.5772425591351684
+5.5,500,0.554322153526425
+5.5,600,0.5303862452809436
+5.5,700,0.5065057696995219
+5.5,799.9999999999999,0.4829294490316987
+6,199.99999999999997,0.514408647679742
+6,300,0.507083336573673
+6,399.99999999999994,0.49657783878428263
+6,500,0.4837368289917114
+6,600,0.4692707829644498
+6,700,0.4537168552377991
+6,799.9999999999999,0.43745884804257873
+6.500000000000001,199.99999999999997,0.4360339443223982
+6.500000000000001,300,0.43353183087913605
+6.500000000000001,399.99999999999994,0.428619860507283
+6.500000000000001,500,0.42163113445304307
+6.500000000000001,600,0.41311533407272155
+6.500000000000001,700,0.40318399073912964
+6.500000000000001,799.9999999999999,0.39238232951329755
+7,199.99999999999997,0.3745711086350754
+7,300,0.37432167691540474
+7,399.99999999999994,0.3723454953976282
+7,500,0.36876238067641776
+7,600,0.3638235124630308
+7,700,0.3577203075469937
+7,799.9999999999999,0.3506544283071643
+7.5,199.99999999999997,0.3250647691196492
+7.5,300,0.326071019510345
+7.5,399.99999999999994,0.3257525380930084
+7.5,500,0.32418028203009863
+7.5,600,0.3215115795046743
+7.5,700,0.3178256730728548
+7.5,799.9999999999999,0.31329892409812077
+8,199.99999999999997,0.2844633545459577
+8,300,0.28618314004967144
+8,399.99999999999994,0.2868446047529096
+8,500,0.28651279607732233
+8,600,0.28526593167394376
+8,700,0.28319954810639875
+8,799.9999999999999,0.28040285597707054
diff --git a/comsol/magnet-coil-force-no-gap.csv b/comsol/magnet-coil-force-no-gap.csv
new file mode 100644
index 0000000..88c0389
--- /dev/null
+++ b/comsol/magnet-coil-force-no-gap.csv
@@ -0,0 +1,41 @@
+% Model,magnet-coil-speaker.mph
+% Version,COMSOL 5.3.1.275
+% Date,"Dec 6 2018, 23:42"
+% Table,"Table 1 - Global Evaluation 1 (mf.Forcex_0, mf.Forcey_0)"
+% magnet_th (mm),gap (um),"Electromagnetic force, y component (N)"
+0.5,300,0.48456986364292487
+0.5,399.99999999999994,0.4525023673294216
+0.5,500,0.42750507229682494
+0.5,600,0.40844031409951276
+0.5,700,0.3947183742336287
+0.5,799.9999999999999,0.3854485802214254
+1,300,0.5783775691819707
+1,399.99999999999994,0.5320315746634457
+1,500,0.4930419959359778
+1,600,0.4603252736827853
+1,700,0.4323024182930223
+1,799.9999999999999,0.40867646837569843
+1.5,300,0.6289247197550714
+1.5,399.99999999999994,0.575670283446941
+1.5,500,0.5299364291088474
+1.5,600,0.49022851172565807
+1.5,700,0.4558495003060742
+1.5,799.9999999999999,0.42604635273696173
+2,300,0.6720397516216423
+2,399.99999999999994,0.6138912796048818
+2,500,0.5638249300463641
+2,600,0.5205165359345659
+2,700,0.4823245880078012
+2,799.9999999999999,0.4486541357760351
+2.5,300,0.7060538070979323
+2.5,399.99999999999994,0.6455369977712041
+2.5,500,0.5932514027403134
+2.5,600,0.5472913713664808
+2.5,700,0.5068555560697918
+2.5,799.9999999999999,0.4711221969867704
+3,300,0.7332363367713702
+3,399.99999999999994,0.6702271617442722
+3,500,0.6165033104947446
+3,600,0.568833339561078
+3,700,0.5271136991769472
+3,799.9999999999999,0.48984029371797105
diff --git a/comsol/magnet-coil-speaker.mph b/comsol/magnet-coil-speaker.mph
index ef833296b044af6b7dddcb0c8f060e25236e2ee5..34948e6234d4475a40358b601f66012eb8701375 100644
GIT binary patch
literal 339801
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diff --git a/script/2018.12.7-hex-speaker.py b/script/2018.12.7-hex-speaker.py
new file mode 100644
index 0000000..90c692e
--- /dev/null
+++ b/script/2018.12.7-hex-speaker.py
@@ -0,0 +1,174 @@
+#!/usr/bin/env python
+from __future__ import division,absolute_import
+import rhinoscriptsyntax as rs
+from math import *	
+import sys
+
+#simple class for vec2
+class V2(object):
+	def __init__(self,*args):
+		if len(args)>1:
+			self.x = args[0]
+			self.y = args[1]
+		else:
+			self.x = args[0][0]
+			self.y = args[0][1]
+		self.p3l = [self.x,self.y,0]
+	def __add__(self,other):
+		return V2(self.x+other.x,self.y+other.y)
+	def __sub__(self,other):
+		return V2(self.x-other.x,self.y-other.y)
+	def __mul__(self,other):
+		try:
+			return V2(self.x*other.x,self.y*other.y)
+		except(AttributeError):
+			return V2(self.x*other,self.y*other)
+	def __rmul__(self,other):
+		try:
+			return V2(self.x*other.x, self.y*other.y)
+		except(AttributeError):
+			return V2(self.x*other,self.y*other)
+	def __getitem__(self,index):
+		return [self.x,self.y][index]
+	def __repr__(self):
+		return "V2(%.6f,%.6f)"%(self.x,self.y)
+	def rotate(self,th):
+		return V2(self.x*cos(th)-self.y*sin(th), self.x*sin(th)+self.y*cos(th))
+	def rotate90(self):
+		return V2(-self.y,self.x)
+	def rotate_p(self,b,th):
+		return b + (self-b).rotate(th)
+	def magnitude(self):
+		return sqrt(self.x*self.x + self.y*self.y)
+	def normalized(self):
+		return self*(1./self.magnitude())
+	def dot(self,other):
+		return self.x*other.x + self.y*other.y
+	def cross(self,other):
+		return self.x*other.y - self.y*other.x
+	def angle_between(self,other):
+		#unsigned angle between two vectors
+		c = self.cross(other)
+		return atan2(c,self.dot(other))
+	def projected_onto(self,other):
+		return ((self.dot(other))/(other.dot(other)))*other
+	def projected_orthogonal_to(self,other):
+		return self - self.projected_onto(other)
+
+	def close(self,other,tol=1e-6):
+		return (abs(self.x-other.x)<tol) and (abs(self.y-other.y)<tol)
+	def p3lz(self,z):
+		return [self.x,self.y,z]
+
+
+def line(p1,p2,layer,bridge_w=0,cut_w=0):
+	d = p2-p1; dl = d.magnitude()
+	if dl==0:
+		return None
+	dn = d.normalized()
+	if bridge_w==0 or cut_w==0: 
+		rs.CurrentLayer(layer)
+		return rs.AddLine(p1.p3l, p2.p3l)
+	else:
+		rs.CurrentLayer(layer)
+		output = []; dist = bridge_w
+		ds = []
+		while dist < dl-2*bridge_w:#-cut_w:
+			ds.append((dist, dist+cut_w))
+			#print bridge_w, (p1+dist*dn).p3l , (p1+(dist+bridge_w)*dn).p3l
+			dist += cut_w+bridge_w
+		#leftover = dl-bridge_w-cut_w - dist + cut_w+bridge_w
+		leftover = dl-bridge_w - dist + cut_w+bridge_w
+		for pair in ds:
+			output.append(rs.AddLine( (p1+(pair[0] + leftover/2)*dn).p3l , (p1+(pair[1]+ leftover/2)*dn).p3l) )
+
+		return output
+def circle(c,d,layer):
+	rs.CurrentLayer(layer)
+	return rs.AddCircle(c.p3l, .5*d)
+def arc(c,d,th1,th2,layer):
+	rs.CurrentLayer(layer)
+	p1 = c + d/2*V2(cos(pi/180.*th1),sin(pi/180.*th1))
+	p2 = c + d/2*V2(cos(pi/180.*th2),sin(pi/180.*th2))
+	pm = c + d/2*V2(cos(pi/180.*(th1+th2)/2),sin(pi/180.*(th1+th2)/2))
+	return rs.AddArc3Pt(p1.p3l,p2.p3l,pm.p3l)
+
+
+def make_rectangular_spiral(x,y,h,w,R,pitch,N):
+	rs.CurrentLayer('coil')
+	r = R
+	hw = w/2; hh = h/2
+	crvs = [ ]
+	for i in range(N):
+		#r -= pitch/2
+		r2 = r*(1-1/sqrt(2))
+		crvs.append( line( V2(-hw+(i+0)*pitch,hh-r), V2(-hw+(i+.5)*pitch,-hh+r), 'coil' ) )
+		crvs.append( rs.AddArc3Pt( [-hw+(i+.5)*pitch,-hh+r,0], [-hw+r,-hh+(i+.5)*pitch,0], [-hw+r2+(i+.5)*pitch/sqrt(2),-hh+r2+(i+.5)*pitch/sqrt(2),0] ) )
+		crvs.append( line(V2(-hw+r,-hh+(i+.5)*pitch), V2(hw-r,-hh+(i+.5)*pitch), 'coil' ) )
+		crvs.append( rs.AddArc3Pt( [hw-r,-hh+(i+.5)*pitch,0], [hw-(i+.5)*pitch,-hh+r,0], [hw-r2-(i+.5)*pitch/sqrt(2),-hh+r2+(i+.5)*pitch/sqrt(2),0] ) )
+		crvs.append( line( V2(hw-(i+.5)*pitch,-hh+r), V2(hw-(i+1)*pitch,hh-r), 'coil' ) )
+		if i<N-1:
+			crvs.append( rs.AddArc3Pt( [hw-(i+1)*pitch,hh-r,0], [hw-r,hh-(i+1)*pitch,0], [hw-r2-(i+1)*pitch/sqrt(2),hh-r2-(i+1)*pitch/sqrt(2),0] ) )
+			crvs.append( line(V2(hw-r,hh-(i+1)*pitch), V2(-hw+r,hh-(i+1.)*pitch), 'coil' ) )
+			crvs.append( rs.AddArc3Pt( [-hw+r,hh-(i+1.)*pitch,0], [-hw+(i+1.)*pitch,hh-r,0], [-hw+r2+(i+1.)*pitch/sqrt(2),hh-r2-(i+1.)*pitch/sqrt(2),0] ) )
+	#crvs.append( line( V2(hw-(N+0)*pitch,-hh+r), V2(hw-(N+.25)*pitch,hh-r), 'coil' ) )
+	result = rs.JoinCurves(crvs)
+	rs.DeleteObjects(crvs)
+	rs.MoveObjects(result,[x,y,0])
+	return result
+
+
+def main():
+	rs.AddLayer('magnets',(255,0,0))
+	rs.AddLayer('holes',(0,255,0))
+	rs.AddLayer('coils',(0,0,255))
+
+	mag_d = 3 #mm, diameter of magnets
+	hole_d = 8 #mm, diameter of air hole
+	s = 6 #mm, hex side length (2xmag_d?)
+	#lead_in = 25 #mm, lead in length
+	#phase_extension = 1 #mm, extension of each phase for overpass and turnaround
+	#wire_pitch = .22 #mm, pitch, .22 = 34 awg measured diameter (.2) + .02mm slop (determined empirically)
+	wire_pitch = 2*.088 #mm, pitch, .088 = measured diameter (.080) + .008 mm slop (10% applied)
+	N = 11 #number of turns
+	Nx = 3 #number of cells in x direction,
+	Ny = 6 #number of cells in y direction
+
+	s32 = s*sqrt(3)/2.
+
+	magnets = []; holes = []; coils = [];
+	for i in range(Nx):
+		x0 = i*3*s + s
+		for j in range(Ny):
+			y0 = j*2*s32
+			magnets += [
+				circle(V2(x0-s/2,y0+s32),mag_d,'magnets'),
+				circle(V2(x0,y0),mag_d,'magnets'),
+				circle(V2(x0+s,y0),mag_d,'magnets'),
+				circle(V2(x0+3*s/2,y0+s32),mag_d,'magnets')
+				]
+			holes += [circle(V2(x0+s/2,y0+s32),hole_d,'holes')]
+			if i<Nx-1:
+				holes += [circle(V2(x0+2*s,y0),hole_d,'holes')]
+			if j%2==0:
+				for k in range(N):
+					kk = -(N-1)/2+k
+					coils += [
+						arc(V2(x0-s/2,y0+s32),s+kk*wire_pitch,180,300,'coils') if i>0 else arc(V2(x0,y0),s-kk*wire_pitch,240,120,'coils'),
+						arc(V2(x0,y0),s-kk*wire_pitch,120,0,'coils'),
+						arc(V2(x0+s,y0),s+kk*wire_pitch,180,420,'coils'),
+						arc(V2(x0+3*s/2,y0+s32),s-kk*wire_pitch,240,0 if i<Nx-1 else 120,'coils'),
+					]
+			else:
+				for k in range(N):
+					kk = -(N-1)/2+k
+					coils += [
+						arc(V2(x0-s/2,y0+s32),s+kk*wire_pitch,180 if i>0 else 60,-60,'coils'),
+						arc(V2(x0,y0),s-kk*wire_pitch,120,360,'coils'),
+						arc(V2(x0+s,y0),s+kk*wire_pitch,180,60,'coils'),
+						arc(V2(x0+3*s/2,y0+s32),s-kk*wire_pitch,240,360,'coils') if i<Nx-1 else arc(V2(x0+s,y0),s+kk*wire_pitch,60,-60,'coils'),
+					]				
+
+
+if __name__ == '__main__':
+	main()
\ No newline at end of file
-- 
GitLab