{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Single Degree of Freedom" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Download This Notebook](http://vibrationtoolbox.github.io/vibration_toolbox/_downloads/sdof_notebook.ipynb)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import vibration_toolbox as vtb\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook shows some of the functions for single degree of freedom.\n", "\n", "Some interactive functions are available (see the functions with '_i' at the end).\n", "To see how these interactive functions work we recommend you to download the notebook." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "vtb.time_plot()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "891afca009274e60b8e76827ab747832", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=10.0, description='m', min=1.0), FloatSlider(value=1.0, description='c…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vtb.time_plot_i()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "vtb.phase_plot()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "adafaa8e6e954cef83d851cc77bee07a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=10.0, description='m', min=1.0, step=1.0), FloatSlider(value=1.0, desc…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vtb.phase_plot_i()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r, A = vtb.steady_state_response(zs=[0.1, 0.3, 0.8], rmin=0, rmax=2)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0e2859349fcd41ffaabdf44b7c8e05da", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.1, description='zs', max=0.5, step=0.05), FloatSlider(value=0.0, des…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vtb.steady_state_response_i(zs=(0, 0.5, 0.05), rmin=(0.0,1,0.1), rmax=(0,4.0,0.1))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r, D, F = vtb.transmissibility(zs=[0.1, 0.3, 0.8], rmin=0, rmax=2)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "de85387dcf894e2e898efd6c9453cd06", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.5, description='zs', max=1.0), IntSlider(value=0, description='rmin'…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vtb.transmissibility_i()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r, Xn = vtb.rotating_unbalance(m=1, m0=0.5, e=0.1, zs=[0.1, 0.25, 0.707, 1], rmin=0, rmax=3.5, normalized=True)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "91880571704046899622a82b8e53c9ab", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(HBox(children=(VBox(children=(Label(value='Mass'), FloatSlider(value=5.0, continuous_update=Fal…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(vtb.sdof_interact())" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "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": "3.7.1" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }