{ "cells": [ { "cell_type": "markdown", "id": "0ab67285-75a6-400e-91ac-3c9b7705acb3", "metadata": {}, "source": [ "*Notebook erstellt von A. Naber am 25.11.2022*\n", "\n", "# Physikalisches Pendel und deterministisches Chaos\n", "\n", "## Einleitung\n", "\n", "In diesem Notebook wird die Bewegung des gedämpften physikalischen Pendels mit äußerer periodischer Antriebskraft numerisch gelöst. Interessant sind dabei vor allem die Verhaltensweisen für große Amplituden und insbesondere auch für Überschläge. Diese reichen von einfachen zu komplexeren periodischen Bewegungen bis zu chaotischem Verhalten ohne erkennbare Muster.\n", "\n", "Für das verwendete numerische Verfahren bringen wir die Differentialgleichung (DGL) aus der Vorlesung in eine andere Form. Zunächst werden für die Vorfaktoren einfachere Parameter eingeführt:\n", "\n", "$$ f = \\frac{F_0}{m l} \\ ; \\quad b = \\frac{\\gamma}{m l} \\ ; \\quad \\omega_0^2 = \\frac{g}{l} \\quad .$$\n", "\n", "Damit wird \n", "\n", "$$ \\frac{{\\rm d}^2\\alpha}{{\\rm d} t^2} + b\\,\\frac{{\\rm d}\\alpha}{{\\rm d}t}+\\omega_0^2\\,\\sin(\\alpha) = f\\,\\sin(\\omega t) \\quad .$$\n", "\n", "Diese DGL zweiter Ordnung wird zur numerischen Berechnung in zwei lineare DGL erster Ordnung zerlegt. Mit\n", "\n", "$$ \\alpha_1 = \\alpha \\quad\\text{und}\\quad \\alpha_2=\\frac{{\\rm d}\\alpha_1}{{\\rm d}t} $$\n", "\n", "erhalten wir dann\n", "\n", "\\begin{align*}\n", " \\alpha_2 &=\\frac{{\\rm d}\\alpha_1}{{\\rm d} t} \\\\[1ex]\n", " \\frac{{\\rm d}\\alpha_2}{{\\rm d} t} &= f\\,\\sin(\\omega t)-b\\,\\alpha_2-\\omega_0^2\\,\\sin(\\alpha_1) \\quad .\n", "\\end{align*} \n", "\n", "Diese Gleichungen werden im Skript mit dem Modul $\\tt odeint$ aus *SciPy* integriert. Die Schrittweite wird darin bestimmt durch ein Array $t$, welches die diskreten Zeitwerte für die zu berechnenden Winkel und Winkelgeschwindigkeiten enthält. Je kleiner die Schrittweite zwischen benachbarten Zeiten ist, umso präziser wird die numerische Berechnung, aber umso länger dauert sie dann natürlich auch. \n", "\n", "Die erste Python-Zelle des Skripts (\"Lösung der DGL\") berechnet die Lösungen als Funktion der gegebenen Parameter. Weisen Sie daher vor jeder neuen Berechnung (mittels Shift-Return) den Parametern zunächst die gewünschten Werte zu.\n", "\n", "Die darauf folgenden Zellen zur Darstellung der Ergebnisse sind voneinander unabhängig. Sie können sich also darauf beschränken, nur die auszuführen, die für Sie interessant sind, und die anderen überspringen. Wenn Sie die Darstellung z.B. eines Plots verändern wollen, dann können Sie das tun ohne Neuberechnung der Lösung. Das kann sehr viel Zeit sparen, wenn Sie eine kleine Schrittweite für die Zeit und damit eine hohe Genauigkeit verwenden." ] }, { "cell_type": "markdown", "id": "eed2a3f9-8e95-4dc6-9c2e-6289a0974973", "metadata": {}, "source": [ "## Lösung der Differentialgleichung" ] }, { "cell_type": "code", "execution_count": 1, "id": "3ba9fbe9", "metadata": {}, "outputs": [], "source": [ "%matplotlib widget\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import odeint\n", "from scipy.fft import fft, fftfreq\n", "from time import perf_counter\n", "import csv" ] }, { "cell_type": "code", "execution_count": 2, "id": "8666fb3f-663f-468a-8f5c-9e6b868daa8d", "metadata": { "scrolled": true, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ausführungszeit: 4.765115239\n" ] } ], "source": [ "# Definition der Differentialgleichungen für den\n", "# gedämpften Oszillator mit harmonischer Anregung\n", "def pendulum(alpha, t, b, omega0, omega, f):\n", " dalpha1_dt = alpha[1]\n", " dalpha2_dt = f * np.cos(omega * t) - b * alpha[1] - (omega0**2) * np.sin(alpha[0])\n", " return dalpha1_dt, dalpha2_dt\n", "\n", "\n", "# Simulationsparameter\n", "f = 2.7 # Anregungsamplitude\n", "b = 0.22 # Reibungskoeffizient\n", "omega0 = 1.0 # Winkelfrequenz der Resonanz für ungedämpften Oszillator;\n", " # Nicht ändern: bewirkt nur andere Zeitskala der Ergebnisse\n", "omega = 1.0 # Winkelfrequenz der Anregung;\n", " # wähle omega=omega0 wenn chaotisches Verhalten gewünscht ist\n", "\n", "# Anfangsbedingungen [Winkelauslenkung, Winkelgeschwindigkeit]\n", "alpha_0 = [0, 0]\n", "\n", "# Zeitintervall der Integration\n", "n_int = 100 # Anzahl der Zeitwerte für eine Periode; > 1000 für hohe Qualität (begrenzt durch Speicherplatz)\n", "n_cycles = 5000 # Anzahl der Perioden; 50000 für hohe Qualität der Poincaré-Map\n", "N = n_int * n_cycles\n", "tmax = (2 * np.pi / omega) * n_cycles\n", "t = np.linspace(0, tmax, N) # Das entsprechende Zeitinervall als array\n", "\n", "# Lösen der Differentialgleichung\n", "t0 = perf_counter() # timer\n", "alpha = odeint(pendulum, alpha_0, t, args=(b, omega0, omega, f)).T\n", "print(f\"Ausführungszeit: {perf_counter() - t0}\")" ] }, { "cell_type": "markdown", "id": "65b47d13-e487-48de-9913-3914d6aa09b5", "metadata": {}, "source": [ "## Darstellung der Ergebnisse\n", "\n", "### Winkelamplitude und Winkelgeschwindigkeit als Funktion der Zeit\n", "\n", "Im Folgenden werden zunächst der Winkel $\\alpha$ und die Winkelgeschwindigkeit $\\dot\\alpha$ als Funktion der Zeit geplottet. Meist genügt es hier, einen vergleichsweise kurzen Zeitraum darzustellen, um z.B. ein periodisches Muster zu erkennen. Chaotisches Verhalten kann dagegen eventuell erst für vergleichsweise große Zeiträume identifiziert werden.\n", "\n", "Ändern Sie in der folgenden Zelle die Limits der Zeitachse für die Plots, um diese Ihren Vorstellungen anzupassen. Wenn Sie die Werte in einem anderen Programm verwenden möchten, geben Sie für $\\tt filename$ einen Namen ein, dann werden die Daten als csv-Datei gespeichert.\n", "\n", "*Hinweis:* Die Darstellung der Winkelamplitude kann mit dem Parameter $\\tt reduce\\_to\\_2pi=True$ so geändert werden, dass alle Winkel auf den Bereich $\\pm \\pi$ reduziert werden. So können die Schwingungen besser visualisiert werden, aber die Folge von Überschlägen in eine Richtung ist nicht mehr erkennbar. Für die Fouriertransformation sollte immer $\\tt reduce\\_to\\_2pi=False$ gewählt werden." ] }, { "cell_type": "code", "execution_count": 3, "id": "8e01e0c6-b9e5-479b-94a7-4145e6996644", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e5f6667f069f47ffbb1fa3bf698d2007", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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Im Fall schwach gedämpfter Eigenschwingungen des Pendels für kleine Amplituden und ohne externe Anregung reduziert sich das Frequenzspektrum auf die Eigenfrequenz $f_0$ des harmonischen Oszillators. Für größere Amplituden und nichtlinearer Rückstellkraft wird die zunächst reine Sinusfunktion zunehmend \"verzerrt\" - die Eigenfrequenz $f_0$ nimmt ab und es gibt zusätzliche Frequenzkomponenten (ungerade Harmonische, also $3f_0$, $5f_0$, etc.). Im Falle externer Anregung und Überschlägen des Pendels wird das Frequenzspektrum nochmal komplexer, insbesondere wenn die Amplitude als Funktion der Zeit für spezielle Parameter aperiodisch und \"chaotisch\" wird." ] }, { "cell_type": "code", "execution_count": 4, "id": "9c8e3461-b600-4699-bd0e-9cc42bff6452", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8d7ab715fc184021be1d483a48278a9d", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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Falls das Pendel periodisch mit der Anregungsfrequenz schwingt, was bei moderater Anregung ohne Überschläge meist der Fall ist, befindet sich das Pendel zu den Zeiten $t_n$ im selben Zustand, d.h. in der Poincaré-Map wird nach dem Einschwingvorgang immer nur der gleiche Punkt erzeugt. Eine komplexe Verteilung von Punkten in der Poincaré-Map ist daher ein Indiz für chaotisches Verhalten. Berechnet man die Map mit hoher zeitlicher Auflösung (kleine zeitliche Iterationsschritte, viele Anregungszyklen), dann wird eine Feinstruktur in den Punkten erkennbar - Linien, die sich zu immer feineren Linien aufspalten. In dem scheinbar chaotischen Verhalten werden erstaunliche Regelmäßigkeiten erkennbar. Durch den limitierten Speicherplatz sind den dafür nötigen Berechnungen leider enge Grenzen gesetzt.\n", "\n", "Experimentieren Sie mit den Parametern! Als Startwerte sind z.B. $b=0.22$ und $f=2.7$ geeignet. Zoomen Sie in \"turbulente\" Abschnitte der Poincaré-Map hinein.\n", "\n", "*Hinweis:* In der Voreinstellung werden die Punkte groß dargestellt, um sie gut erkennbar zu machen. Wenn Sie sehr viele Zyklen berechnen und damit sehr viele Punkte in der Map erzeugen, dann sollten Sie die Punktgröße mittels $\\tt s=1$ auf einen einzigen Pixel verringern." ] }, { "cell_type": "code", "execution_count": 5, "id": "4a4d8b07-307a-41cf-a066-695d764f17ea", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a7d4f2cf98aa41579208b2c98b58498e", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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