wave1d_resonant_column.ipynb

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    "<div style=\"display: flex; align-items: center;\">\n",
    "    <img src=\"https://github.com/nagelt/Teaching_Scripts/raw/9d9e29ecca4b04eaf7397938eacbf116d37ddc93/Images/TUBAF_Logo_blau.png\" width=\"500\" height=\"auto\" height=\"auto\" style=\"margin-right: 100px;\" />\n",
    "    <div>\n",
    "        <p><strong>Prof. Dr. Thomas Nagel</strong></p>\n",
    "        <p>Chair of Soil Mechanics and Foundation Engineering<br>Geotechnical Institute<br>Technische Universität Bergakademie Freiberg.</p>\n",
    "        <p><a href=\"https://tu-freiberg.de/en/soilmechanics\">https://tu-freiberg.de/en/soilmechanics</a></p>\n",
    "    </div>\n",
    "</div>"
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   "source": [
    "# Praktische Anwendungen"
   ]
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   "source": [
    "Module laden"
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   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import fsolve\n",
    "from ipywidgets import widgets\n",
    "from ipywidgets import interact\n",
    "import plot_functions.plot_settings\n",
    "%run plot_functions/resonant_column_interaction.ipynb"
   ]
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   "source": [
    "## Erste Eigenfrequenz eines Torsionsstabs mit Endmasse (Resonant Column)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![resonant_column.svg](https://github.com/nagelt/soil_dynamics/raw/master/Images/resonant_column.svg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Verhältnis der verteilten Massenträgheit (Stab) zur konzentrierten (Endmasse): $M=\\frac{I\\rho l}{J_\\mathrm{end}}$"
   ]
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       "interactive(children=(IntSlider(value=101, description='$M$ [%]:', max=301, min=1, step=10), Output()), _dom_c…"
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   ],
   "source": [
    "#HIDDEN\n",
    "resonant_column_plot()"
   ]
  },
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   "cell_type": "markdown",
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   "source": [
    "Aus $X=\\kappa l$ folgt die Eigenkreisfrequenz $\\omega_1=\\kappa_1 c=X_1 \\frac{c}{l}$"
   ]
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