From c605be2669afa34596ad665885fc24a55a83fad7 Mon Sep 17 00:00:00 2001 From: goose4077 <156208098+goose4077@users.noreply.github.com> Date: Tue, 21 Jan 2025 18:23:19 +0100 Subject: [PATCH] aero --- Aeromechanik/Aeromechanik.ipynb | 203 ++++++++++++++++++++++++-------- Aeromechanik/Aufgabe 3/3.1.csv | 4 + Aeromechanik/Aufgabe 3/3.2.csv | 12 ++ Aeromechanik/Aufgabe 3/3.3.csv | 14 +-- Resonanz/Resonanz_neu.ipynb | 6 +- 5 files changed, 176 insertions(+), 63 deletions(-) create mode 100644 Aeromechanik/Aufgabe 3/3.1.csv create mode 100644 Aeromechanik/Aufgabe 3/3.2.csv diff --git a/Aeromechanik/Aeromechanik.ipynb b/Aeromechanik/Aeromechanik.ipynb index 7d40073..b743583 100644 --- a/Aeromechanik/Aeromechanik.ipynb +++ b/Aeromechanik/Aeromechanik.ipynb @@ -690,16 +690,6 @@ "---" ] }, - { - "cell_type": "code", - "execution_count": null, - "id": "d34de52c", - "metadata": {}, - "outputs": [], - "source": [ - "df31 = pd.read_csv('')" - ] - }, { "cell_type": "markdown", "id": "1bfc8093-d438-45b4-a19b-46c9bfb383fb", @@ -714,32 +704,69 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 102, "id": "87966da7", "metadata": {}, "outputs": [ { - "name": "stdout", + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiwAAAGdCAYAAAAxCSikAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8pXeV/AAAACXBIWXMAAA9hAAAPYQGoP6dpAAAsnUlEQVR4nO3df3BU9b3/8dcmIbtA3VV+hTgJMbWQELAIG8gmGWAUXaTSkds/WGWMei8M5A72EjOdO2TACvzR6Iw/EC6hpNOSYiVEb/TKTOOVOFObYMCO6YbxXqwyXttkwkZu8GYXLCQazvcPvmxdNqE5ISGfhOdj5sx0P+dzPnzefKbuaz7n7MFhWZYlAAAAgyWM9AQAAAD+HgILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4SSM9gaFy6dIlnT59WrfccoscDsdITwcAAAyAZVk6d+6cbr/9diUk9L+PMmYCy+nTp5Wenj7S0wAAAIPQ1tamtLS0fs+PmcByyy23SLpcsNvtHuHZAACAgYhEIkpPT49+j/dnzASWK7eB3G43gQUAgFHm7z3OMaiHbisqKpSZmSmXyyWv16vGxsZ++7733ntyOBxxx5/+9Kdon6qqqj77XLx4cTDTAwAAY4ztHZaamhqVlJSooqJChYWF2rdvn1asWKGTJ09qxowZ/V73ySefxOx8TJ06Nea82+3WJ598EtPmcrnsTg8AAIxBtgPLiy++qLVr12rdunWSpJ07d+qdd97R3r17VV5e3u9106ZN06233trveYfDoenTp9udDgAAuAnYuiXU09Oj5uZm+f3+mHa/36+mpqZrXjt//nylpqZq2bJl+t3vfhd3/vz588rIyFBaWppWrlypYDBoZ2oAAGAMsxVYOjs71dvbq5SUlJj2lJQUdXR09HlNamqqKisrVVtbqzfeeENZWVlatmyZGhoaon2ys7NVVVWlw4cPq7q6Wi6XS4WFhTp16lS/c+nu7lYkEok5AADA2DSoXwld/SSvZVn9Pt2blZWlrKys6Of8/Hy1tbXp+eef15IlSyRJPp9PPp8v2qewsFALFizQ7t27tWvXrj7HLS8v1/bt2wczfQAAMMrY2mGZMmWKEhMT43ZTzpw5E7frci0+n++auycJCQlauHDhNfuUlZUpHA5Hj7a2tgH/+QAAYHSxFViSk5Pl9XpVX18f015fX6+CgoIBjxMMBpWamtrvecuy1NLScs0+Tqcz+s4V3r0CAMDYZvuWUGlpqYqKipSbm6v8/HxVVlaqtbVVxcXFki7vfLS3t+vAgQOSLv+K6I477tCcOXPU09Oj3/zmN6qtrVVtbW10zO3bt8vn82nmzJmKRCLatWuXWlpatGfPniEqEwAA2BG5+LW+6v5GqZ7xcedC4Qua6EyS2zXuhs3HdmAJBAI6e/asduzYoVAopLlz56qurk4ZGRmSpFAopNbW1mj/np4e/eQnP1F7e7vGjx+vOXPm6Le//a1+8IMfRPt0dXVp/fr16ujokMfj0fz589XQ0KBFixYNQYkAAMCOyMWv9fiv/qCz53t0aL1Pt9/6t9ByuuuCHq48rsnfSdav/2nRDQstDsuyrBvyJw2zSCQij8ejcDjM7SEAAK5DKHxBgX3H1frlXzVj0oRoaLkSVq6012zw9bkDY8dAv78H9Wp+AAAwdqV6xuvQep9mTJqg1i//qocrj6v5L1/GhJVD668/rNjBDgsAAOjTt3dUrvj2jstQYIcFAABcl9tvHa+XAvNi2l4KzBuysGIHgQUAAPTpdNcFPVVzIqbtqZoTOt114YbPhcACAADiXP2Abe0/58c803KjQwuBBQAAxAiFL8Q9YOvNmBT3IG4ofONCC4EFAADEmOhM0uTvJMc9YHv7rX/79dDk7yRronNQ/yThoPArIQAAEOdGvel2oN/fNy4aAQCAUcPtGtdvILmR71+5gltCAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeIMKLBUVFcrMzJTL5ZLX61VjY2O/fd977z05HI64409/+lNMv9raWuXk5MjpdConJ0dvvvnmYKYGAADGINuBpaamRiUlJdqyZYuCwaAWL16sFStWqLW19ZrXffLJJwqFQtFj5syZ0XPHjh1TIBBQUVGRTpw4oaKiIq1evVoffPCB/YoAAMCY47Asy7JzQV5enhYsWKC9e/dG22bPnq1Vq1apvLw8rv97772ne+65R//3f/+nW2+9tc8xA4GAIpGI3n777WjbAw88oNtuu03V1dUDmlckEpHH41E4HJbb7bZTEgAAGCED/f62tcPS09Oj5uZm+f3+mHa/36+mpqZrXjt//nylpqZq2bJl+t3vfhdz7tixY3FjLl++/Jpjdnd3KxKJxBwAAGBsshVYOjs71dvbq5SUlJj2lJQUdXR09HlNamqqKisrVVtbqzfeeENZWVlatmyZGhoaon06OjpsjSlJ5eXl8ng80SM9Pd1OKQAAYBRJGsxFDocj5rNlWXFtV2RlZSkrKyv6OT8/X21tbXr++ee1ZMmSQY0pSWVlZSotLY1+jkQihBYAAMYoWzssU6ZMUWJiYtzOx5kzZ+J2SK7F5/Pp1KlT0c/Tp0+3PabT6ZTb7Y45AADA2GQrsCQnJ8vr9aq+vj6mvb6+XgUFBQMeJxgMKjU1Nfo5Pz8/bswjR47YGhMAAIxdtm8JlZaWqqioSLm5ucrPz1dlZaVaW1tVXFws6fKtmvb2dh04cECStHPnTt1xxx2aM2eOenp69Jvf/Ea1tbWqra2Njrlp0yYtWbJEzz33nB566CG99dZbevfdd3X06NEhKhMAAIxmtgNLIBDQ2bNntWPHDoVCIc2dO1d1dXXKyMiQJIVCoZh3svT09OgnP/mJ2tvbNX78eM2ZM0e//e1v9YMf/CDap6CgQIcOHdLWrVv19NNP684771RNTY3y8vKGoEQAADDa2X4Pi6l4DwsAAKPPsLyHBQAAYCQQWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4w0qsFRUVCgzM1Mul0ter1eNjY0Duu79999XUlKS7r777pj2qqoqORyOuOPixYuDmR4AABhjbAeWmpoalZSUaMuWLQoGg1q8eLFWrFih1tbWa14XDof12GOPadmyZX2ed7vdCoVCMYfL5bI7PQAAMAbZDiwvvvii1q5dq3Xr1mn27NnauXOn0tPTtXfv3mtet2HDBq1Zs0b5+fl9nnc4HJo+fXrMAQAAINkMLD09PWpubpbf749p9/v9ampq6ve6/fv367PPPtMzzzzTb5/z588rIyNDaWlpWrlypYLB4DXn0t3drUgkEnMAAICxyVZg6ezsVG9vr1JSUmLaU1JS1NHR0ec1p06d0ubNm/Xqq68qKSmpzz7Z2dmqqqrS4cOHVV1dLZfLpcLCQp06darfuZSXl8vj8USP9PR0O6UAAIBRZFAP3TocjpjPlmXFtUlSb2+v1qxZo+3bt2vWrFn9jufz+fToo49q3rx5Wrx4sV577TXNmjVLu3fv7veasrIyhcPh6NHW1jaYUgAAwCjQ95ZHP6ZMmaLExMS43ZQzZ87E7bpI0rlz5/Thhx8qGAzqySeflCRdunRJlmUpKSlJR44c0b333ht3XUJCghYuXHjNHRan0ymn02ln+gAAYJSytcOSnJwsr9er+vr6mPb6+noVFBTE9Xe73froo4/U0tISPYqLi5WVlaWWlhbl5eX1+edYlqWWlhalpqbamR4AABijbO2wSFJpaamKioqUm5ur/Px8VVZWqrW1VcXFxZIu36ppb2/XgQMHlJCQoLlz58ZcP23aNLlcrpj27du3y+fzaebMmYpEItq1a5daWlq0Z8+e6ywPAACMBbYDSyAQ0NmzZ7Vjxw6FQiHNnTtXdXV1ysjIkCSFQqG/+06Wq3V1dWn9+vXq6OiQx+PR/Pnz1dDQoEWLFtmdHgAAGIMclmVZIz2JoRCJROTxeBQOh+V2u0d6OgAAYAAG+v3NvyUEAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIw3qMBSUVGhzMxMuVwueb1eNTY2Dui6999/X0lJSbr77rvjztXW1ionJ0dOp1M5OTl68803BzM1AAAwBtkOLDU1NSopKdGWLVsUDAa1ePFirVixQq2trde8LhwO67HHHtOyZcvizh07dkyBQEBFRUU6ceKEioqKtHr1an3wwQd2pwcAAMYgh2VZlp0L8vLytGDBAu3duzfaNnv2bK1atUrl5eX9Xvfwww9r5syZSkxM1H/8x3+opaUlei4QCCgSiejtt9+Otj3wwAO67bbbVF1dPaB5RSIReTwehcNhud1uOyUBAIARMtDvb1s7LD09PWpubpbf749p9/v9ampq6ve6/fv367PPPtMzzzzT5/ljx47Fjbl8+fJrjtnd3a1IJBJzAACAsclWYOns7FRvb69SUlJi2lNSUtTR0dHnNadOndLmzZv16quvKikpqc8+HR0dtsaUpPLycnk8nuiRnp5upxQAADCKDOqhW4fDEfPZsqy4Nknq7e3VmjVrtH37ds2aNWtIxryirKxM4XA4erS1tdmoAAAAjCZ9b3n0Y8qUKUpMTIzb+Thz5kzcDokknTt3Th9++KGCwaCefPJJSdKlS5dkWZaSkpJ05MgR3XvvvZo+ffqAx7zC6XTK6XTamT4AABilbO2wJCcny+v1qr6+Pqa9vr5eBQUFcf3dbrc++ugjtbS0RI/i4mJlZWWppaVFeXl5kqT8/Py4MY8cOdLnmAAA4OZja4dFkkpLS1VUVKTc3Fzl5+ersrJSra2tKi4ulnT5Vk17e7sOHDighIQEzZ07N+b6adOmyeVyxbRv2rRJS5Ys0XPPPaeHHnpIb731lt59910dPXr0OssDAABjge3AEggEdPbsWe3YsUOhUEhz585VXV2dMjIyJEmhUOjvvpPlagUFBTp06JC2bt2qp59+WnfeeadqamqiOzAAAODmZvs9LKbiPSwAAIw+w/IeFgAAgJFAYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjDeowFJRUaHMzEy5XC55vV41Njb22/fo0aMqLCzU5MmTNX78eGVnZ+ull16K6VNVVSWHwxF3XLx4cTDTAwAAY0yS3QtqampUUlKiiooKFRYWat++fVqxYoVOnjypGTNmxPWfOHGinnzySX3/+9/XxIkTdfToUW3YsEETJ07U+vXro/3cbrc++eSTmGtdLtcgSgIAAGONw7Isy84FeXl5WrBggfbu3Rttmz17tlatWqXy8vIBjfGjH/1IEydO1CuvvCLp8g5LSUmJurq67EwlRiQSkcfjUTgcltvtHvQ4AADgxhno97etW0I9PT1qbm6W3++Paff7/WpqahrQGMFgUE1NTVq6dGlM+/nz55WRkaG0tDStXLlSwWDwmuN0d3crEonEHAAAYGyyFVg6OzvV29urlJSUmPaUlBR1dHRc89q0tDQ5nU7l5uZq48aNWrduXfRcdna2qqqqdPjwYVVXV8vlcqmwsFCnTp3qd7zy8nJ5PJ7okZ6ebqcUAAAwith+hkWSHA5HzGfLsuLartbY2Kjz58/r+PHj2rx5s773ve/pkUcekST5fD75fL5o38LCQi1YsEC7d+/Wrl27+hyvrKxMpaWl0c+RSITQAgDAGGUrsEyZMkWJiYlxuylnzpyJ23W5WmZmpiTprrvu0hdffKFt27ZFA8vVEhIStHDhwmvusDidTjmdTjvTBwAAo5StW0LJycnyer2qr6+Paa+vr1dBQcGAx7EsS93d3dc839LSotTUVDvTAwAAY5TtW0KlpaUqKipSbm6u8vPzVVlZqdbWVhUXF0u6fKumvb1dBw4ckCTt2bNHM2bMUHZ2tqTL72V5/vnn9eMf/zg65vbt2+Xz+TRz5kxFIhHt2rVLLS0t2rNnz1DUCAAARjnbgSUQCOjs2bPasWOHQqGQ5s6dq7q6OmVkZEiSQqGQWltbo/0vXbqksrIyff7550pKStKdd96pZ599Vhs2bIj26erq0vr169XR0SGPx6P58+eroaFBixYtGoISAQDAaGf7PSym4j0sAACMPsPyHhYAAICRQGABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAQI3Lxa4XCF/o8FwpfUOTi1zd4RgCBBQDwLZGLX+vxX/1BgX3HdborNrSc7rqgwL7jevxXfyC04IYjsAAAor7q/kZnz/eo9cu/6uHKv4WW010X9HDlcbV++VedPd+jr7q/GeGZ4mZDYAEARKV6xuvQep9mTJoQDS3Nf/kyGlZmTJqgQ+t9SvWMH+mp4ibjsCzLGulJDIVIJCKPx6NwOCy32z3S0wGAUe3bOypXXAkrt99KWMHQGej3NzssAIA4t986Xi8F5sW0vRSYR1jBiCGwAADinO66oKdqTsS0PVVzIu5BXOBGIbAAAGJ8+3bQjEkTVPvP+THPtBBaMBIILACAqFD4QtwDtt6MSXEP4vb3nhZguBBYAABRE51Jmvyd5LgHbG+/9W+/Hpr8nWRNdCaN8Exxs+FXQgCAGJGLX+ur7m/6/OlyKHxBE51JcrvGjcDMMBYN9PubiAwAiOF2jes3kPD+FYwUbgkBAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIw3qMBSUVGhzMxMuVwueb1eNTY29tv36NGjKiws1OTJkzV+/HhlZ2frpZdeiutXW1urnJwcOZ1O5eTk6M033xzM1AAAwBhkO7DU1NSopKREW7ZsUTAY1OLFi7VixQq1trb22X/ixIl68skn1dDQoI8//lhbt27V1q1bVVlZGe1z7NgxBQIBFRUV6cSJEyoqKtLq1av1wQcfDL4yAAAwZth+NX9eXp4WLFigvXv3Rttmz56tVatWqby8fEBj/OhHP9LEiRP1yiuvSJICgYAikYjefvvtaJ8HHnhAt912m6qrqwc0Jq/mBwBg9Bno97etHZaenh41NzfL7/fHtPv9fjU1NQ1ojGAwqKamJi1dujTaduzYsbgxly9ffs0xu7u7FYlEYg4AADA22QosnZ2d6u3tVUpKSkx7SkqKOjo6rnltWlqanE6ncnNztXHjRq1bty56rqOjw/aY5eXl8ng80SM9Pd1OKQAAYBQZ1EO3Docj5rNlWXFtV2tsbNSHH36on//859q5c2fcrR67Y5aVlSkcDkePtrY2m1UAAIDRwta/1jxlyhQlJibG7XycOXMmbofkapmZmZKku+66S1988YW2bdumRx55RJI0ffp022M6nU45nU470wcAAKOUrR2W5ORkeb1e1dfXx7TX19eroKBgwONYlqXu7u7o5/z8/Lgxjxw5YmtMAAAwdtnaYZGk0tJSFRUVKTc3V/n5+aqsrFRra6uKi4slXb5V097ergMHDkiS9uzZoxkzZig7O1vS5feyPP/88/rxj38cHXPTpk1asmSJnnvuOT300EN666239O677+ro0aNDUSMAABjlbAeWQCCgs2fPaseOHQqFQpo7d67q6uqUkZEhSQqFQjHvZLl06ZLKysr0+eefKykpSXfeeaeeffZZbdiwIdqnoKBAhw4d0tatW/X000/rzjvvVE1NjfLy8oagRAAAMNrZfg+LqXgPCwAAo8+wvIcFAABgJBBYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjDSqwVFRUKDMzUy6XS16vV42Njf32feONN3T//fdr6tSpcrvdys/P1zvvvBPTp6qqSg6HI+64ePHiYKYHAADGGNuBpaamRiUlJdqyZYuCwaAWL16sFStWqLW1tc/+DQ0Nuv/++1VXV6fm5mbdc889+uEPf6hgMBjTz+12KxQKxRwul2twVQEAgDHFYVmWZeeCvLw8LViwQHv37o22zZ49W6tWrVJ5efmAxpgzZ44CgYB++tOfSrq8w1JSUqKuri47U4kRiUTk8XgUDofldrsHPQ4AALhxBvr9bWuHpaenR83NzfL7/THtfr9fTU1NAxrj0qVLOnfunCZNmhTTfv78eWVkZCgtLU0rV66M24G5Wnd3tyKRSMwBAADGJluBpbOzU729vUpJSYlpT0lJUUdHx4DGeOGFF/TVV19p9erV0bbs7GxVVVXp8OHDqq6ulsvlUmFhoU6dOtXvOOXl5fJ4PNEjPT3dTikAAGAUGdRDtw6HI+azZVlxbX2prq7Wtm3bVFNTo2nTpkXbfT6fHn30Uc2bN0+LFy/Wa6+9plmzZmn37t39jlVWVqZwOBw92traBlMKAAAYBZLsdJ4yZYoSExPjdlPOnDkTt+tytZqaGq1du1avv/667rvvvmv2TUhI0MKFC6+5w+J0OuV0Ogc+eQAAMGrZ2mFJTk6W1+tVfX19THt9fb0KCgr6va66ulpPPPGEDh48qAcffPDv/jmWZamlpUWpqal2pgcAAMYoWzssklRaWqqioiLl5uYqPz9flZWVam1tVXFxsaTLt2ra29t14MABSZfDymOPPaaXX35ZPp8vujszfvx4eTweSdL27dvl8/k0c+ZMRSIR7dq1Sy0tLdqzZ89Q1QkAAEYx24ElEAjo7Nmz2rFjh0KhkObOnau6ujplZGRIkkKhUMw7Wfbt26dvvvlGGzdu1MaNG6Ptjz/+uKqqqiRJXV1dWr9+vTo6OuTxeDR//nw1NDRo0aJF11keAAAYC2y/h8VUvIcFAIDRZ1jewwIAADASCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEGFVgqKiqUmZkpl8slr9erxsbGfvu+8cYbuv/++zV16lS53W7l5+frnXfeietXW1urnJwcOZ1O5eTk6M033xzM1AAAwBhkO7DU1NSopKREW7ZsUTAY1OLFi7VixQq1trb22b+hoUH333+/6urq1NzcrHvuuUc//OEPFQwGo32OHTumQCCgoqIinThxQkVFRVq9erU++OCDwVcGAADGDIdlWZadC/Ly8rRgwQLt3bs32jZ79mytWrVK5eXlAxpjzpw5CgQC+ulPfypJCgQCikQievvtt6N9HnjgAd12222qrq4e0JiRSEQej0fhcFhut9tGRQAAYKQM9Pvb1g5LT0+Pmpub5ff7Y9r9fr+ampoGNMalS5d07tw5TZo0Kdp27NixuDGXL19+zTG7u7sViURiDgAAMDbZCiydnZ3q7e1VSkpKTHtKSoo6OjoGNMYLL7ygr776SqtXr462dXR02B6zvLxcHo8neqSnp9uoBAAAjCaDeujW4XDEfLYsK66tL9XV1dq2bZtqamo0bdq06xqzrKxM4XA4erS1tdmoAAAAjCZJdjpPmTJFiYmJcTsfZ86cidshuVpNTY3Wrl2r119/Xffdd1/MuenTp9se0+l0yul02pk+AAAYpWztsCQnJ8vr9aq+vj6mvb6+XgUFBf1eV11drSeeeEIHDx7Ugw8+GHc+Pz8/bswjR45cc0wAAHDzsLXDIkmlpaUqKipSbm6u8vPzVVlZqdbWVhUXF0u6fKumvb1dBw4ckHQ5rDz22GN6+eWX5fP5ojsp48ePl8fjkSRt2rRJS5Ys0XPPPaeHHnpIb731lt59910dPXp0qOoEAACjmO1nWAKBgHbu3KkdO3bo7rvvVkNDg+rq6pSRkSFJCoVCMe9k2bdvn7755htt3LhRqamp0WPTpk3RPgUFBTp06JD279+v73//+6qqqlJNTY3y8vKGoEQAADDa2X4Pi6l4DwsAAKPPsLyHBQAAYCQQWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYOlD5OLXCoUv9HkuFL6gyMWvb/CMAAC4uRFYrhK5+LUe/9UfFNh3XKe7YkPL6a4LCuw7rsd/9QdCCwAANxCB5SpfdX+js+d71PrlX/Vw5d9Cy+muC3q48rhav/yrzp7v0Vfd34zwTAEAuHkQWK6S6hmvQ+t9mjFpQjS0NP/ly2hYmTFpgg6t9ynVM36kpwoAwE3DYVmWNdKTGAqRSEQej0fhcFhut/u6x/v2jsoVV8LK7bcSVgAAGAoD/f5mh6Uft986Xi8F5sW0vRSYR1gBAGAEEFj6cbrrgp6qORHT9lTNibgHcQEAwPAjsPTh27eDZkyaoNp/zo95poXQAgDAjUVguUoofCHuAVtvxqS4B3H7e08LAAAYegSWq0x0Jmnyd5LjHrC9/da//Xpo8neSNdGZNMIzBQDg5jGowFJRUaHMzEy5XC55vV41Njb22zcUCmnNmjXKyspSQkKCSkpK4vpUVVXJ4XDEHRcvXhzM9K6L2zVOv/6nRarZEP9roNtvHa+aDT79+p8Wye0ad8PnBgDAzcp2YKmpqVFJSYm2bNmiYDCoxYsXa8WKFWptbe2zf3d3t6ZOnaotW7Zo3rx5ffaRJLfbrVAoFHO4XC670xsSbte4ft+zkuoZT1gBAOAGsx1YXnzxRa1du1br1q3T7NmztXPnTqWnp2vv3r199r/jjjv08ssv67HHHpPH4+l3XIfDoenTp8ccAAAAks3A0tPTo+bmZvn9/ph2v9+vpqam65rI+fPnlZGRobS0NK1cuVLBYPCa/bu7uxWJRGIOAAAwNtkKLJ2dnert7VVKSkpMe0pKijo6OgY9iezsbFVVVenw4cOqrq6Wy+VSYWGhTp061e815eXl8ng80SM9PX3Qfz4AADDboB66dTgcMZ8ty4prs8Pn8+nRRx/VvHnztHjxYr322muaNWuWdu/e3e81ZWVlCofD0aOtrW3Qfz4AADCbrd/mTpkyRYmJiXG7KWfOnInbdbkeCQkJWrhw4TV3WJxOp5xO55D9mQAAwFy2dliSk5Pl9XpVX18f015fX6+CgoIhm5RlWWppaVFqauqQjQkAAEYv228/Ky0tVVFRkXJzc5Wfn6/Kykq1traquLhY0uVbNe3t7Tpw4ED0mpaWFkmXH6z93//9X7W0tCg5OVk5OTmSpO3bt8vn82nmzJmKRCLatWuXWlpatGfPniEoEQAAjHa2A0sgENDZs2e1Y8cOhUIhzZ07V3V1dcrIyJB0+UVxV7+TZf78+dH/3dzcrIMHDyojI0N//vOfJUldXV1av369Ojo65PF4NH/+fDU0NGjRokXXURoAABgrHJZlWSM9iaEQiUTk8XgUDofldrtHejoAAGAABvr9PWb+QZwruYv3sQAAMHpc+d7+e/snYyawnDt3TpJ4HwsAAKPQuXPnrv1G/LFyS+jSpUs6ffq0brnllut6J4zpIpGI0tPT1dbWNuZvfd1MtUo3V73UOnbdTPVS69CwLEvnzp3T7bffroSE/n+8PGZ2WBISEpSWljbS07hh3G73mP8/yBU3U63SzVUvtY5dN1O91Hr9rrWzcsWg3nQLAABwIxFYAACA8Qgso4zT6dQzzzxzU/yzBDdTrdLNVS+1jl03U73UemONmYduAQDA2MUOCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwjLCKigplZmbK5XLJ6/WqsbHxmv1///vfy+v1yuVy6bvf/a5+/vOfx5yvqqqSw+GIOy5evDicZQyYnXpDoZDWrFmjrKwsJSQkqKSkpM9+tbW1ysnJkdPpVE5Ojt58881hmr09Q12ryWtrp9Y33nhD999/v6ZOnSq32638/Hy98847cf1MXVdp6OsdK2t79OhRFRYWavLkyRo/fryys7P10ksvxfUzdW2HulaT11Wy//1zxfvvv6+kpCTdfffdceeGdW0tjJhDhw5Z48aNs37xi19YJ0+etDZt2mRNnDjR+stf/tJn///5n/+xJkyYYG3atMk6efKk9Ytf/MIaN26c9e///u/RPvv377fcbrcVCoViDhPYrffzzz+3/uVf/sX69a9/bd19993Wpk2b4vo0NTVZiYmJ1s9+9jPr448/tn72s59ZSUlJ1vHjx4e5mmsbjlpNXVu7tW7atMl67rnnrD/84Q/Wp59+apWVlVnjxo2z/vjHP0b7mLquljU89Y6Vtf3jH/9oHTx40Pqv//ov6/PPP7deeeUVa8KECda+ffuifUxd2+Go1dR1tSz79V7R1dVlffe737X8fr81b968mHPDvbYElhG0aNEiq7i4OKYtOzvb2rx5c5/9//Vf/9XKzs6OaduwYYPl8/min/fv3295PJ4hn+tQsFvvty1durTPL/HVq1dbDzzwQEzb8uXLrYcffvi65nq9hqNWU9f2emq9Iicnx9q+fXv0s6nralnDU+9YXtt/+Id/sB599NHoZ1PXdjhqNXVdLWvw9QYCAWvr1q3WM888ExdYhnttuSU0Qnp6etTc3Cy/3x/T7vf71dTU1Oc1x44di+u/fPlyffjhh/r666+jbefPn1dGRobS0tK0cuVKBYPBoS/ApsHUOxD9/Z1cz5jXa7hqlcxb26Go9dKlSzp37pwmTZoUbTNxXaXhq1cam2sbDAbV1NSkpUuXRttMXNvhqlUyb12lwde7f/9+ffbZZ3rmmWf6PD/ca0tgGSGdnZ3q7e1VSkpKTHtKSoo6Ojr6vKajo6PP/t988406OzslSdnZ2aqqqtLhw4dVXV0tl8ulwsJCnTp1angKGaDB1DsQ/f2dXM+Y12u4ajVxbYei1hdeeEFfffWVVq9eHW0zcV2l4at3rK1tWlqanE6ncnNztXHjRq1bty56zsS1Ha5aTVxXaXD1njp1Sps3b9arr76qpKS+/93k4V7bMfOvNY9WDocj5rNlWXFtf6//t9t9Pp98Pl/0fGFhoRYsWKDdu3dr165dQzXtQbNb70iNORSGel4mr+1ga62urta2bdv01ltvadq0aUMy5o0w1PWOtbVtbGzU+fPndfz4cW3evFnf+9739Mgjj1zXmDfCUNdq8rpKA6+3t7dXa9as0fbt2zVr1qwhGXMwCCwjZMqUKUpMTIxLnmfOnIlLqFdMnz69z/5JSUmaPHlyn9ckJCRo4cKFI57oB1PvQPT3d3I9Y16v4ar1aias7fXUWlNTo7Vr1+r111/XfffdF3POxHWVhq/eq432tc3MzJQk3XXXXfriiy+0bdu26Je4iWs7XLVezYR1lezXe+7cOX344YcKBoN68sknJV2+tWlZlpKSknTkyBHde++9w7623BIaIcnJyfJ6vaqvr49pr6+vV0FBQZ/X5Ofnx/U/cuSIcnNzNW7cuD6vsSxLLS0tSk1NHZqJD9Jg6h2I/v5OrmfM6zVctV7NhLUdbK3V1dV64okndPDgQT344INx501cV2n46r3aaF7bq1mWpe7u7uhnE9d2uGrt6/xIr6tkv163262PPvpILS0t0aO4uFhZWVlqaWlRXl6epBuwtkPy6C4G5crPyn75y19aJ0+etEpKSqyJEydaf/7zny3LsqzNmzdbRUVF0f5Xftb81FNPWSdPnrR++ctfxv2sedu2bdZ//ud/Wp999pkVDAatf/zHf7SSkpKsDz744IbXdzW79VqWZQWDQSsYDFper9das2aNFQwGrf/+7/+Onn///fetxMRE69lnn7U+/vhj69lnnzXqJ5JDWaupa2u31oMHD1pJSUnWnj17Yn7q2dXVFe1j6rpa1vDUO1bW9t/+7d+sw4cPW59++qn16aefWr/61a8st9ttbdmyJdrH1LUdjlpNXVfLGtx/o76tr18JDffaElhG2J49e6yMjAwrOTnZWrBggfX73/8+eu7xxx+3li5dGtP/vffes+bPn28lJydbd9xxh7V3796Y8yUlJdaMGTOs5ORka+rUqZbf77eamppuRCkDYrdeSXFHRkZGTJ/XX3/dysrKssaNG2dlZ2dbtbW1N6CSv2+oazV5be3UunTp0j5rffzxx2PGNHVdLWvo6x0ra7tr1y5rzpw51oQJEyy3223Nnz/fqqiosHp7e2PGNHVth7pWk9fVsuz/N+rb+gosljW8a+uwrP//1CYAAICheIYFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOP9PxIdVbOVLGkQAAAAAElFTkSuQmCC", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", "output_type": "stream", "text": [ - "[['r in m' 0.02 0.29 0.4]\n", - " ['fw in N' 0.16 0.32 0.54]]\n" + "/Users/goose/miniconda3/envs/cgda/lib/python3.11/site-packages/kafe2/fit/_base/fit.py:1156: RuntimeWarning: divide by zero encountered in scalar divide\n", + " _result_dict[\"gof/ndf\"] = _gof / _ndf if _gof is not None else _gof\n" ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 1200x500 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ "offset = 0.015\n", "dfw = 0.02\n", "\n", - "fwr = np.array([\n", - "np.nan, 0.02, 0.29, 0.4,\n", - "np.nan, 0.16, 0.32, 0.54\n", - "]).reshape(2,4).astype('object')\n", + "df31 = pd.read_csv('Aufgabe 3/3.1.csv')\n", + "\n", + "F = df31['fw in N']\n", + "r = df31['r in m']\n", + "\n", + "plt.scatter(r,F, marker='x')\n", + "plt.show()\n", + "\n", + "def linmodel(a,b,c=offset):\n", + " return a*b+c\n", "\n", - "fwr[0,0] = 'r in m'\n", - "fwr[1,0] = 'fw in N'\n", + "def mod32(A,p,v,c=0.0087,o=offset):\n", + " return c*0.5*p*A*v**2+o\n", "\n", - "print(fwr)" + "xy_data = kafe2.XYContainer(x_data=r, y_data=F)\n", + "# xy_data.add_error(axis='x',err_val=uf)\n", + "xy_data.add_error(axis=\"y\",err_val= 0.02)\n", + "linfit = kafe2.Fit(data=xy_data, model_function=mod32)\n", + "linfit.add_parameter_constraint(name='v', value=2600, uncertainty=20)\n", + "linfit.do_fit()\n", + "linfit.data_container.label = 'Relation r und F'\n", + "p = kafe2.Plot(linfit)\n", + "p.x_label = 'Radius in cm'\n", + "p.y_label = 'Kraft in N'\n", + "p.plot()\n", + "p.show()" ] }, { @@ -787,33 +814,73 @@ "source": [ "**L Ö S U N G**\n", "\n", - "*Fügen Sie numerische Berechnungen zur Lösung dieser Aufgabe hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument. Um Code-Fragmente und Skripte in [Python](https://www.python.org/), sowie ggf. bildliche Darstellungen direkt ins [Jupyter notebook](https://jupyter.org/) einzubinden verwandeln Sie diese Zelle in eine Code-Zelle. Fügen Sie ggf. weitere Code-Zellen zu.* \n", + "$F_W \\propto p_d A \\propto \\rho v^2 A;\\; F_W = c_W \\frac{1}{2} \\rho v^2 A$\n", + "\n", "\n", "---" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 91, "id": "e976c8f1", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/goose/miniconda3/envs/cgda/lib/python3.11/site-packages/kafe2/fit/_base/fit.py:1048: UserWarning: No data/model errors were specified. Parameter errors cannot be calculated.\n", + " warnings.warn(\"No data/model errors were specified. Parameter errors cannot be calculated.\")\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 1200x500 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "#mittlere Scheibe\n", + "ur32 = uarr(0.29,0.02) #mittlere Schreibe gewählt\n", + "uA32 = np.pi*ur32**2\n", + "df32 = pd.read_csv('Aufgabe 3/3.2.csv')\n", "\n", - "offset = 0.01\n", - "dfw = 0.02\n", - "df = 20\n", + "f32 = df32['f']\n", + "p32 = df32['p']\n", "\n", - "fwr = np.array([\n", - "np.nan, 605, 805, 1000, 1200, 1400, 1600, 1810, 2000, 2200, 2400, 2600,\n", - "np.nan, 0.02, 0.025, 0.045, 0.06, 0.09, 0.12, 0.14, 0.17, 0.21, 0.26, 0.305\n", - "]).reshape(2,12).astype('object')\n", + "plt.scatter(f32,p32,marker='x')\n", + "plt.show()\n", "\n", - "fwr[0,0] = 'f in m'\n", - "fwr[1,0] = 'fw in N'\n", + "def mod32(v,c,p,A):\n", + " return c*0.5*p*A*v**2\n", "\n", - "print(fwr)" + "xy_data = kafe2.XYContainer(x_data=f32, y_data=p32)\n", + "# xy_data.add_error(axis='x',err_val=uf)\n", + "# xy_data.add_error(axis=\"y\",err_val= up_22)\n", + "linfit = kafe2.Fit(data=xy_data, model_function=mod32)\n", + "linfit.add_parameter_constraint(name='A', value=nomv(uA32), uncertainty=stdv(uA32))\n", + "linfit.do_fit()\n", + "linfit.data_container.label = 'Relation r und F'\n", + "p = kafe2.Plot(linfit)\n", + "p.x_label = 'Radius in cm'\n", + "p.y_label = 'Kraft in N'\n", + "p.plot()\n", + "p.show()" ] }, { @@ -875,23 +942,30 @@ "execution_count": null, "id": "df595b82", "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'A_Chrysler' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[94], line 7\u001b[0m\n\u001b[1;32m 4\u001b[0m force \u001b[38;5;241m=\u001b[39m df33[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mForce\u001b[39m\u001b[38;5;124m'\u001b[39m]\n\u001b[1;32m 5\u001b[0m offset33 \u001b[38;5;241m=\u001b[39m df33[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mOffset\u001b[39m\u001b[38;5;124m'\u001b[39m]\n\u001b[0;32m----> 7\u001b[0m \u001b[43mA_Chrysler\u001b[49m\n\u001b[1;32m 8\u001b[0m A_Jeep\n", + "\u001b[0;31mNameError\u001b[0m: name 'A_Chrysler' is not defined" + ] + } + ], "source": [ - "#mittlere Scheibe\n", - "\n", - "offset = 0.045\n", - "dfw = 0.02\n", - "df = 20\n", - "\n", - "fwr = np.array([\n", - "np.nan, 605, 805, 1000, 1200, 1400, 1600, 1810, 2000, 2200, 2400, 2600,\n", - "np.nan, 0.02, 0.025, 0.045, 0.06, 0.09, 0.12, 0.14, 0.17, 0.21, 0.26, 0.305\n", - "]).reshape(2,12).astype('object')\n", + "df33 = pd.read_csv('Aufgabe 3/3.3.csv')\n", "\n", - "fwr[0,0] = 'f in m'\n", - "fwr[1,0] = 'fw in N'\n", + "obj = df33['Object']\n", + "force = df33['Force']\n", + "offset33 = df33['Offset']\n", "\n", - "print(fwr)" + "A_Chrysler = uarr()\n", + "A_Jeep = \n", + "A_Drop = \n", + "A_Plane = " ] }, { @@ -957,14 +1031,39 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 79, "id": "496cad38", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ + "\n", "offset_drag = 0.03\n", "offset_lift = 0.1\n", - "\n" + "\n", + "df41 = pd.read_csv('Aufgabe 4/4.1.csv')\n", + "φ = df41['Degrees'] * np.pi / 180 \n", + "Lift = df41['Lift in N'] - offset_lift \n", + "Drag = df41['Drag in N'] - offset_drag \n", + "\n", + "fig, ax = plt.subplots(subplot_kw={'projection': 'polar'})\n", + "ax.plot(φ, Lift, label='Lift')\n", + "ax.plot(φ, Drag, label='Drag')\n", + "\n", + "ax.set_title(\"Polardiagramm von Lift und Drag\", va='bottom')\n", + "ax.legend()\n", + "\n", + "plt.show()\n" ] }, { diff --git a/Aeromechanik/Aufgabe 3/3.1.csv b/Aeromechanik/Aufgabe 3/3.1.csv new file mode 100644 index 0000000..0b66c4b --- /dev/null +++ b/Aeromechanik/Aufgabe 3/3.1.csv @@ -0,0 +1,4 @@ +r in m,fw in N +0.02,0.16 +0.29,0.32 +0.4,0.54 diff --git a/Aeromechanik/Aufgabe 3/3.2.csv b/Aeromechanik/Aufgabe 3/3.2.csv new file mode 100644 index 0000000..8fd14dd --- /dev/null +++ b/Aeromechanik/Aufgabe 3/3.2.csv @@ -0,0 +1,12 @@ +f,p +605.0,0.02 +805.0,0.025 +1000.0,0.045 +1200.0,0.06 +1400.0,0.09 +1600.0,0.12 +1810.0,0.14 +2000.0,0.17 +2200.0,0.21 +2400.0,0.26 +2600.0,0.305 diff --git a/Aeromechanik/Aufgabe 3/3.3.csv b/Aeromechanik/Aufgabe 3/3.3.csv index 8495c07..029af9e 100644 --- a/Aeromechanik/Aufgabe 3/3.3.csv +++ b/Aeromechanik/Aufgabe 3/3.3.csv @@ -1,8 +1,6 @@ -Object,Kraft, -Auto,0.07,Offset 1 -Drop,0.07,Offset 2 -Drop_backwards,0.075,Offset2 -Jeep,0.09,Offset1 -Plane,0.1,Offset 2 -Offset 1,0.045, -Offset,0.03, \ No newline at end of file +Object,Force,Offset +Auto,0.07,0.045 +Drop,0.07,0.03 +Drop_backwards,0.075,0.03 +Jeep,0.09,0.045 +Plane,0.1,0.03 diff --git a/Resonanz/Resonanz_neu.ipynb b/Resonanz/Resonanz_neu.ipynb index fcec52c..233f8b8 100644 --- a/Resonanz/Resonanz_neu.ipynb +++ b/Resonanz/Resonanz_neu.ipynb @@ -1942,9 +1942,9 @@ "\n", "| Güte | Wert | Unsicherheit |\n", "|-------------------|---------------------------------|----------------------------|\n", - "| UC bei 47 Ohm | $5.4919$ | $\\pm 0.2858$ |\n", - "| UC bei 100 Ohm | $2.9255$ | $\\pm 0.0562$ |\n", - "| UC bei 8.2 Ohm | $14.8098$ | $\\pm 2.6196$ |\n", + "| UC bei 47 Ohm | $5.4919$ | $\\pm 0.2858$ |\n", + "| UC bei 100 Ohm | $2.9255$ | $\\pm 0.0562$ |\n", + "| UC bei 8.2 Ohm | $14.8098$ | $\\pm 2.6196$ |\n", "\n", "Mit steigendem Wiederstand nimmt die Güte ab. Da ein größerer Wiederstand eine in einer größeren Dämpfung resultiert ist auch so die Resonanz kleiner.\n", "\n", -- GitLab