{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "48a4c4ad", "metadata": {}, "outputs": [], "source": [ "from typing import Tuple\n", "\n", "import numpy as np\n", "from scipy.integrate import solve_ivp\n", "import matplotlib.pyplot as plt\n", "from matplotlib.patches import Rectangle, Circle\n", "from matplotlib.animation import FuncAnimation\n", "from IPython.display import HTML\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "1b607863", "metadata": {}, "outputs": [], "source": [ "def E_kinetic(v: np.ndarray, params: dict) -> np.ndarray:\n", " \"\"\"Kinetic energy (translation only): 0.5 * m * v^2.\"\"\"\n", " m = params[\"m\"]\n", " return 0.5 * m * (v ** 2)\n", "\n", "\n", "def E_potential(x: np.ndarray, params: dict) -> np.ndarray:\n", " \"\"\"\n", " Potential energy stored in the spring.\n", " Model uses an effective extension u = x / T (T: transmission).\n", " Ep = 0.5 * k * u^2\n", " \"\"\"\n", " k = params[\"k\"]\n", " T = params[\"T\"]\n", " u = x / T\n", " return 0.5 * k * (u ** 2)\n", "\n", "\n", "def derivatives(t: float, state: np.ndarray, params: dict) -> np.ndarray:\n", " \"\"\"\n", " ODEs for the system.\n", " state: [x, v]\n", " x = generalized coordinate (m)\n", " v = dx/dt (m/s)\n", " Returns [dx/dt, dv/dt].\n", " \"\"\"\n", " x, v = state\n", " m = params[\"m\"]\n", " k = params[\"k\"]\n", " T = params[\"T\"]\n", "\n", " # spring extension (effective)\n", " u = x / T\n", " F_spring = -k * u\n", " # transmitted force divided by transmission lever T gives acceleration input to mass\n", " a = (F_spring / T) / m\n", " return np.array([v, a])\n", "\n", "\n", "def simulate_system(\n", " params: dict,\n", " state0: Tuple[float, float],\n", " t_span: Tuple[float, float],\n", " n_frames: int = 300,\n", ") -> Tuple[np.ndarray, np.ndarray]:\n", " \"\"\"Simulate system using solve_ivp and return (t, y) where y.shape == (2, len(t)).\"\"\"\n", " t_eval = np.linspace(t_span[0], t_span[1], n_frames)\n", " sol = solve_ivp(\n", " fun=lambda t, y: derivatives(t, y, params),\n", " t_span=t_span,\n", " y0=np.array(state0),\n", " t_eval=t_eval,\n", " )\n", " return sol.t, sol.y\n", "\n", "\n", "def compute_energies(states: np.ndarray, params: dict) -> Tuple[np.ndarray, np.ndarray]:\n", " \"\"\"\n", " Vectorized energy calculations.\n", " states: shape (2, N) with rows [x, v]\n", " Returns (Ekin_array, Epot_array)\n", " \"\"\"\n", " x = states[0, :]\n", " v = states[1, :]\n", " return E_kinetic(v, params), E_potential(x, params)\n", "\n", "\n", "def create_animation(\n", " t: np.ndarray,\n", " states: np.ndarray,\n", " params: dict,\n", " interval: int = 30,\n", ") -> FuncAnimation:\n", " \"\"\"\n", " Build and return a matplotlib.animation.FuncAnimation.\n", " If save_path is truthy, attempt to save the animation to that path (mp4).\n", " \"\"\"\n", " # Prepare figure and axes (3 rows)\n", " fig, ax = plt.subplots(3, 1, figsize=(7, 8), constrained_layout=True)\n", "\n", " # Top: cart and spring\n", " ax[0].set_yticks([])\n", " ax[0].set_xlim(-1, 1)\n", " ax[0].set_ylim(0, 0.4)\n", " for spine in (\"top\", \"left\", \"right\"):\n", " ax[0].spines[spine].set_visible(False)\n", " ax[0].set_xlabel(\"Positie (m)\")\n", "\n", " # Initial positions\n", " x0 = states[0, 0]\n", "\n", " # Artists\n", " kar = Rectangle((x0 - 0.2, 0.1), 0.4, 0.2, fc=\"lightgrey\", ec=\"k\")\n", " wiel1 = Circle((x0 - 0.15, 0.1), 0.09, fc=\"grey\", ec=\"black\")\n", " wiel2 = Circle((x0 + 0.15, 0.1), 0.09, fc=\"grey\", ec=\"black\")\n", " spring_x = np.linspace(x0 - 0.15, x0 + abs(x0 * 0.6) - 0.15, 10)\n", " spring_y = np.tile([0.15, 0.27], len(spring_x) // 2)\n", " spring_line, = ax[0].plot(spring_x, spring_y, color=\"red\", lw=2)\n", " ax[0].add_patch(kar)\n", " ax[0].add_patch(wiel1)\n", " ax[0].add_patch(wiel2)\n", " ax[0].set_aspect(\"equal\")\n", "\n", " # Middle: position vs time\n", " ax[1].plot(t, states[0, :], color=\"C0\")\n", " ax[1].set_ylabel(\"Positie (m)\")\n", " pos_vline = ax[1].axvline(t[0], color=\"red\")\n", "\n", " # Bottom: energies\n", " Ekin_vals, Epot_vals = compute_energies(states, params)\n", " ax[2].sharex(ax[1])\n", " ax[2].plot(t, Ekin_vals, label=r\"$E_{\\mathrm{kin}}$\")\n", " ax[2].plot(t, Epot_vals, label=r\"$E_{\\mathrm{veer}}$\")\n", " energy_vline = ax[2].axvline(t[0], color=\"red\")\n", " ax[2].set_xlabel(\"Tijd (s)\")\n", " ax[2].set_ylabel(\"Energie (J)\")\n", " ax[2].set_xlim(t[0], t[-1])\n", " ax[2].legend()\n", "\n", " def update(frame: int):\n", " x = states[0, frame]\n", " # use small factor to visualise spring extension\n", " u = abs(x * 0.4)\n", "\n", " # move body\n", " kar.set_xy((x - 0.2, 0.1))\n", " # move wheels\n", " wiel1.center = (x - 0.15, 0.1)\n", " wiel2.center = (x + 0.15, 0.1)\n", " # update spring line\n", " new_x = np.linspace(x - 0.15, x + u - 0.15, 10)\n", " new_y = np.tile([0.15, 0.27], len(new_x) // 2)\n", " spring_line.set_data(new_x, new_y)\n", "\n", " # move vertical time markers\n", " tnow = t[frame]\n", " pos_vline.set_xdata([tnow, tnow])\n", " energy_vline.set_xdata([tnow, tnow])\n", "\n", " return [kar, wiel1, wiel2, spring_line, pos_vline, energy_vline]\n", "\n", " anim = FuncAnimation(fig, update, frames=len(t), interval=interval, blit=True)\n", "\n", " return anim\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "27cf1271", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "fig-cap": "Bij een veer-aangedreven karretje wordt de veer-energie uitgeruild voor de kinetische energie.", "label": "fig-still" }, "output_type": "display_data" } ], "source": [ "#| label: fig-still\n", "#| fig-cap: Bij een veer-aangedreven karretje wordt de veer-energie uitgeruild voor de kinetische energie. \n", "\n", "\"\"\"Run simulation and create an animation. Returns the FuncAnimation object.\"\"\"\n", "params = {\"m\": 1.0, \"k\": 600.0, \"T\": 10.0}\n", "state0 = (0.75, 0.0) # initial x (m), v (m/s)\n", "t_span = (0.0, 5.0)\n", "t, states = simulate_system(params, state0, t_span, n_frames=300)\n", "anim = create_animation(t, states, params, interval=30)" ] }, { "cell_type": "code", "execution_count": 4, "id": "ac051964", "metadata": { "fig-cap": "Bij een veer-aangedreven karretje wordt de veer-energie uitgeruild voor de kinetische energie.", "label": "fig-animation" }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": null, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#| label: fig-animation\n", "#| fig-cap: Bij een veer-aangedreven karretje wordt de veer-energie uitgeruild voor de kinetische energie. \n", "\n", "HTML(anim.to_html5_video())\n" ] } ], "metadata": { "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 5 }