{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting Loads for Beams Using Matplotlib\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are going to define a simple beam with an artificial material (not relevant for the calculation of the Fourier coefficients of the loads) and calculate the Fourier representations of some loads using different numbers of harmonic terms." ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from sigmaepsilon.solid.fourier import (\n", " NavierBeam,\n", " PointLoad,\n", " LineLoad,\n", ")\n", "\n", "from sigmaepsilon.solid.fourier.config import config\n", "\n", "# setting up parameters for Monte-Carlo integration\n", "config[\"NUM_MC_SAMPLES_BEAM\"] = 200000\n", "config[\"MC_BATCH_SIZE_BEAM\"] = 5000\n", "\n", "# ---------------------------------------- domain ---------------------------------------- #\n", "\n", "# setting up the beam\n", "beam = NavierBeam(\n", " 500, # length\n", " 1, # number of harmonics, we are going to set this later\n", " EI=1, # bending stiffness\n", ")\n", "\n", "# --------------------------------------- plotting --------------------------------------- #\n", "\n", "plt.ioff()\n", "fig, axs = plt.subplots(nrows=4, ncols=3)\n", "fig.set_size_inches(8, 6) # Set width to 8 inches and height to 6 inches\n", "number_of_modes = [20, 60, 100]\n", "\n", "# helper function for plotting load cases\n", "def plot_load_case(load_case, ax=None):\n", " if ax is None:\n", " _, ax = plt.subplots()\n", "\n", " points = np.linspace(0, beam.size, 200)\n", " values = load_case.eval_approx(beam, points)[0, :, 0]\n", " ax.plot(points, values, linewidth=1)\n", " ax.yaxis.set_major_formatter(\"{x:.02f}\")\n", "\n", "# first load case\n", "load_case = PointLoad(beam.size / 2, [1, 0])\n", "for i in range(len(number_of_modes)):\n", " beam.shape = number_of_modes[i]\n", " plot_load_case(load_case, axs[0, i])\n", "\n", "# second load case\n", "load_case = LineLoad((beam.size / 3, 2 * beam.size / 3), (1, 0))\n", "for i in range(len(number_of_modes)):\n", " beam.shape = number_of_modes[i]\n", " plot_load_case(load_case, axs[1, i])\n", "\n", "# third load case\n", "load_case = LineLoad((beam.size / 3, 2 * beam.size / 3), (f\"x/{beam.size}\", 0))\n", "for i in range(len(number_of_modes)):\n", " beam.shape = number_of_modes[i]\n", " plot_load_case(load_case, axs[2, i])\n", "\n", "# fourth load case\n", "load_case = LineLoad((beam.size / 3, 2 * beam.size / 3), (\"((x-250)**2)/500 + 5\", 0))\n", "for i in range(len(number_of_modes)):\n", " beam.shape = number_of_modes[i]\n", " plot_load_case(load_case, axs[3, i])\n", "\n", "# setting up figure and showing it\n", "fig.suptitle(\n", " \"Approximation of load cases using Fourier series with 20, 60 and 100 modes\"\n", ")\n", "fig.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "sigmaepsilon-solid-fourier-9DWMC9cw-py3.10", "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": "3.10.11" } }, "nbformat": 4, "nbformat_minor": 2 }