{ "cells": [ { "cell_type": "markdown", "metadata": { "tags": [ "remove_cell" ] }, "source": [ "
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Ingenieurinformatik – Übung

\n", " Lehrstuhl Computational Civil Engineering
\n", " Kontakt: Email senden | Individuelle Kontakte siehe Webseite des Lehrstuhls
\n", " Links: \n", " Vorlesungsskript | \n", " Webseite des Lehrstuhls\n", "
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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Ballonfahrt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In der Datei {download}`messdaten_ballonfahrt.txt <./messdaten_ballonfahrt.txt>` finden Sie die Messdaten der Höhe eines Ballons während einer Ballonfahrt. In den ersten Zeilen der Datei sind Kommentarzeilen, die die Randbedingungen und den Aufbau der Messdatei beschreiben.\n", "\n", "Gesucht ist ein Polynom, dass die Steiggeschwindigkeit, also die Änderung der Höhe mit der Zeit, des Heißluftballons beschreibt. Dies soll in zwei Unterschiedlichen Wegen implementiert werden." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Aufgabenteil A" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Schreiben Sie ein Programm, das die Höhe aus den Daten außließt, die Steiggeschwindigkeit berechnet und einen Fit der Geschwindigkeit mit einem Polynom dritten Grades durchführt. Plotten Sie die Höhe, die Geschwindigkeit und den Fit jeweils gegen die Zeit. Beschriften Sie die Achsen und erstellen Sie eine Legende." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lösungshinweis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ihre Darstellung der Daten könnte folgendermaßen aussehen:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "######################\n", "### Aufgabenteil A ###\n", "######################\n", "\n", "# Laden und Umspeichern der Dateien\n", "data = np.loadtxt('messdaten_ballonfahrt.txt', delimiter=';', skiprows=4)\n", "t = data[:, 0]\n", "h = data[:, 1]\n", "\n", "# Array der Veraenderung der Hoehe\n", "v = (h[1:]-h[:-1])/(t[1]-t[0])\n", "t_v = t[:-1]\n", "\n", "# Fit der Aenderung der Hoehe\n", "v_P = np.polyfit(t_v, v, 3)\n", "t_v_reg = np.linspace(np.min(t_v), np.max(t_v), 1000)\n", "v_reg = np.polyval(v_P, t_v_reg)\n", "\n", "# Plots\n", "plt.figure(figsize=[17, 5])\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.plot(t, h, 'b-', label='Hoehe')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([0, 2250])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('h / m', fontsize=18)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.scatter(t_v, v, c='r', label='Steigegeschw.')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([-40, 40])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('v / m/min', fontsize=18)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.plot(t_v_reg, v_reg, 'r-', label='Steigegeschw. Reg.')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([-25, 25])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('v / m/min', fontsize=18)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Aufgabenteil B\n", "\n", "Schreiben Sie ihr vorheriges Programm um, sodass nun zunächst eine Polynomregression dritten Grades der Höhendaten durchgeführt wird und leiten sie diese anschließend ab, um eine Funktion der Steiggeschwindigkeit zu erhalten. Plotten Sie wieder die Höhe, die Regression der Höhe sowie deren Ableitung und beschriften Sie die Plots." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lösungshinweis\n", "\n", "Ihre Darstellung der Daten könnte folgendermaßen aussehen:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "######################\n", "### Aufgabenteil B ###\n", "######################\n", "\n", "# Erstellen und Auswerten des Polynomfits über die Hoehendaten\n", "h_P = np.polyfit(t, h, 3)\n", "t_reg = np.linspace(np.min(t), np.max(t), 1000)\n", "h_reg = np.polyval(h_P, t_reg)\n", "\n", "# Ableiten des Fits\n", "dh_P = np.polyder(h_P)\n", "dh_reg = np.polyval(dh_P, t_reg)\n", "\n", "# Erstellung der Plots\n", "plt.figure(figsize=[17,5])\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.plot(t, h, 'b-', label='Hoehe')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([0, 2250])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('h / m', fontsize=18)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.plot(t_reg, h_reg, 'b-', label='Hoehe Reg.')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([0, 2250])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('h / m', fontsize=18)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.plot(t_reg, dh_reg, 'r-', label='Steigegeschw. Reg.')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([-25, 25])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('v / m/min', fontsize=18)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "loesung", "hide-cell" ] }, "source": [ "## Lösungsvorschlag" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "tags": [ "loesung", "hide-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "######################\n", "### Aufgabenteil A ###\n", "######################\n", "\n", "# Laden und Umspeichern der Dateien\n", "data = np.loadtxt('messdaten_ballonfahrt.txt', delimiter=';', skiprows=4)\n", "t = data[:, 0]\n", "h = data[:, 1]\n", "\n", "# Array der Veraenderung der Hoehe\n", "v = (h[1:]-h[:-1])/(t[1]-t[0])\n", "t_v = t[:-1]\n", "\n", "# Fit der Aenderung der Hoehe\n", "v_P = np.polyfit(t_v, v, 3)\n", "t_v_reg = np.linspace(np.min(t_v), np.max(t_v), 1000)\n", "v_reg = np.polyval(v_P, t_v_reg)\n", "\n", "# Plots\n", "plt.figure(figsize=[17, 5])\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.plot(t, h, 'b-', label='Hoehe')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([0, 2250])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('h / m', fontsize=18)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.scatter(t_v, v, c='r', label='Steigegeschw.')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([-40, 40])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('v / m/min', fontsize=18)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.plot(t_v_reg, v_reg, 'r-', label='Steigegeschw. Reg.')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([-25, 25])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('v / m/min', fontsize=18)\n", "\n", "\n", "######################\n", "### Aufgabenteil B ###\n", "######################\n", "\n", "# Erstellen und Auswerten des Polynomfits über die Hoehendaten\n", "h_P = np.polyfit(t, h, 3)\n", "t_reg = np.linspace(np.min(t), np.max(t), 1000)\n", "h_reg = np.polyval(h_P, t_reg)\n", "\n", "# Ableiten des Fits\n", "dh_P = np.polyder(h_P)\n", "dh_reg = np.polyval(dh_P, t_reg)\n", "\n", "# Erstellung der Plots\n", "plt.figure(figsize=[17,5])\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.plot(t, h, 'b-', label='Hoehe')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([0, 2250])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('h / m', fontsize=18)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.plot(t_reg, h_reg, 'b-', label='Hoehe Reg.')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([0, 2250])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('h / m', fontsize=18)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.plot(t_reg, dh_reg, 'r-', label='Steigegeschw. Reg.')\n", "plt.grid()\n", "plt.legend(loc=0)\n", "plt.xlim([0, 720])\n", "plt.ylim([-25, 25])\n", "plt.xlabel('t / min', fontsize=18)\n", "plt.ylabel('v / m/min', fontsize=18)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }