{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 5 | Magnetic Mechanic\n", "\n", "## Description\n", "\n", "Consider an axi-symmetric model of a coil and a plate as depicted in the figure.\n", "The inner and outer radii of the coil, $r_1=0.0025$m and $r_2=0.0075$m.\n", "The length of the coil, $l_1=0.008$m.\n", "The plate thickness and air gap is $l_2=5\\cdot 10^{-4}$m respectively $l_3=7.5\\cdot 10^{-4}$m.\n", "The point $C$ is located in the center of the coil, the point $P$ in the middle of the plate at $z=0.005$m.\n", "\n", "The plate is either made from iron or aluminium, with electric conductivity and linear magnetic permeability given in the mat.xml.\n", "The coil has 40 truns and is fed by a controlled current of $i=10$kA.\n", "\n", "![Sketch of the problem](sketch.png)\n", "\n", "\n", "\n", "### Tasks\n", "1. Create a regular, hexaedral mesh. **(1 Point)**\n", "1. Create input-xml files for the required CFS++ simulations. **(1 Point)**\n", "1. Document your results by answering the questions below. **(13 Points)**\n", "\n", "### Hints\n", "* Use the provided templates.\n", "* Use the static simulation to check the prescribed current and boundary conditions.\n", "* Use a time resolution of 20 steps per period.\n", "* Pole force can be neglected\n", "\n", "### Submission\n", "Submit all your input files (*.jou, *.xml) as well as a PDF report of your results in a zip archive. \n", "Name the archive according to the format HWn_eNNNNNNN_Lastname.zip." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mesh Size\n", "Estimate the skin depth for both materials.\n", "What element size do you suggest? Motivate your suggestion!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Static Analysis\n", "Compute the static solution of the coupled magnetic-mechanical problem.\n", "\n", "* Plot the vector field of the magnetic flux density.\n", "* Compare the cases for iron and aluminum plate.\n", "* What is the difference?\n", "* Are there displacements? Why/Why not? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transient Analysis\n", "Set up a transient analysis with a sinusoidal coil current with a frequency of 100Hz and solve the coupled magnetic-mechanical problem. Compute the solution for 4 periods of the coil current.\n", "\n", "* Plot the time signal of the z-displacements of point $P$ for both plate-materials in one figure.\n", "* Plot the displacement of the plate (paraview warp by vector) for both plate-materials at a timestep with maximum displacement amplitude.\n", "* Describe the time signals: Are there transient effects? What is the difference between the amplitudes with aluminum and iron plate and why is there a difference?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }