{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculating Influence Diagrams of Beams" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will calculate influence diagrams for a Timoshenko beam of a constant, rectangular cross section. For plotting, we will use ``Matplotlib``." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting up the model" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.solid.fourier import NavierBeam\n", "\n", "# geometry\n", "beam_length = 1000.0\n", "width, height = 20.0, 80.0 # rectangular cross-section\n", "\n", "# material properties\n", "young_modulus, poisson_ratio = 210000.0, 0.25 # material\n", "area = width * height\n", "shear_modulus = young_modulus / (2 * (1 + poisson_ratio))\n", "\n", "# stiffness properties\n", "inertia = width * height**3 / 12\n", "bending_stiffness = young_modulus * inertia\n", "shear_correction_factor = 5 / 6\n", "shear_stiffness = shear_modulus * area * shear_correction_factor\n", "\n", "# solution parameters\n", "number_of_modes = 100\n", "\n", "beam = NavierBeam(\n", " beam_length, number_of_modes, EI=bending_stiffness, GA=shear_stiffness\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two possible strategies to follow here. One is to create a bunch of load cases, store them in a ``LoadGroup`` and then call the solver once. The other way around is to call the solver multiple times, for each separate load case. We will follow the second approach here.\n", "\n", "The location of the cross section for which the influence diagrams are calculated is stored in the variable `evaluation_point`.\n", "\n", "We only calculate influence diagrams for a unit vertical load." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.solid.fourier import LoadGroup, PointLoad\n", "import numpy as np\n", "\n", "# the location of the cross-section of which the infleunce diagrams are calculated\n", "evaluation_point = np.array([beam_length/3])\n", "\n", "number_of_loads = 100\n", "solutions = []\n", "load_positions = []\n", "for i in range(number_of_loads):\n", " load_position = beam_length * i / (number_of_loads - 1)\n", " beam_loads = LoadGroup(LC=PointLoad(load_position, [1.0, 0.0]))\n", " solution = beam.linear_static_analysis(evaluation_point, beam_loads)\n", " solutions.append(solution[\"LC\"].to_xarray())\n", " load_positions.append(load_position)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting with ``Matplotlib``" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting with ``Matplotlib`` is pretty straightforward. The only thing that might set you off is that we use ``LaTeX`` for better typesetting of our variables.\n", "\n", "For every subplot, we plot a vertical line at the location of the cross-section for which the influence diagrams are calculated." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sigmaepsilon.solid.fourier import BeamLoadCaseResultLinStat\n", "import matplotlib.pyplot as plt\n", "\n", "fig, axs = plt.subplots(6, 1, figsize=(4, 6), dpi=200, sharex=True)\n", "\n", "labels = [r\"$v$\", r\"$\\theta$\", r\"$\\kappa$\", r\"$\\gamma$\", r\"$M$\", r\"$V$\"]\n", "colors = [\"b\", \"b\", \"g\", \"g\", \"r\", \"r\"]\n", "components = BeamLoadCaseResultLinStat.components\n", "\n", "plt.rcParams.update(\n", " {\n", " \"text.usetex\": True,\n", " \"font.family\": \"sans-serif\",\n", " }\n", ")\n", "for i in range(6):\n", " component = components[i]\n", " data = [float(s.loc[0, component].values) for s in solutions]\n", " axs[i].plot(load_positions, data, colors[i])\n", " axs[i].set_xlabel(\"$x$\")\n", " axs[i].set_ylabel(labels[i])\n", " axs[i].axvline(x=evaluation_point, color='black', linestyle='dashed', lw=0.5)\n", "\n", "fig.suptitle(\"Influence diagrams for a unit point load\")\n", "plt.subplots_adjust(hspace=0.1)\n", "fig.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "sigmaepsilon-solid-fourier-2jj81J8s-py3.12", "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 2 }