{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Elastic Response Spectra\n", "#### April 2020, By Amir Hossein Namadchi\n", "This one deals with an elastic SDOF system subjected to the El Centro ground acceleration, $\\ddot{d_g}$. The aim is to obtain response spectra for the system with various damping values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![EPSDOF](imgs/SDOFEQEX.PNG)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import openseespy.opensees as ops\n", "import matplotlib.pyplot as plt\n", "\n", "# Loading El Centro EQ data (North-south component)\n", "el_centro_raw = np.loadtxt('elCentro.txt')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,3))\n", "plt.plot(el_centro_raw[:,0], el_centro_raw[:,1], color='k')\n", "\n", "plt.ylabel('$\\ddot{d_g} (g)$', {'size':14})\n", "plt.xlabel('Time (sec)', {'fontstyle':'italic','size':13})\n", "\n", "plt.grid()\n", "plt.yticks(fontname = 'Cambria', fontsize = 14)\n", "plt.xticks(fontname = 'Cambria', fontsize = 14)\n", "plt.xlim([0.0, el_centro_raw[-1,0]]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Analysis" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Define a period range below\n", "T_min = 0.00001\n", "T_max = 5\n", "dT = 0.05\n", "# a list of damping ratios to be included\n", "zeta_list = np.array([0.02, 0.03, 0.05])\n", "\n", "\n", "# Base units\n", "cm = 1.0\n", "sec = 1.0\n", "# Gravitational constant\n", "g = 981*cm/sec**2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `analyze_SDOF` function performs numerical time integration of a damped elastic SDOF system subjected to the previously defined base excitation. Then, it returns the absolute maximum of response parameters as a `dict`. It should be reminded that, for a given ground motion, the response parameters of the SDOF system depends only on the natural period and its damping ratio, i.e. $T$ and $\\zeta$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def analyze_SDOF(period, damping_ratio):\n", " \n", " # natural frequency\n", " omega = (2*np.pi)/period\n", " # stiffness\n", " k = omega**2\n", " # Damping\n", " c = 2*damping_ratio*omega\n", " \n", " # Model Definition\n", " ops.wipe()\n", " ops.model('basic', '-ndm', 1, '-ndf', 1)\n", " ops.node(1, 0.0)\n", " ops.node(2, 0.0)\n", " ops.uniaxialMaterial('Elastic', 1, k)\n", " ops.element('zeroLength', 1, *[1, 2], '-mat', 1, '-dir', 1)\n", " # unit mass is assumed\n", " ops.mass(2, 1.0)\n", " ops.rayleigh(c, 0, 0, 0)\n", " ops.fix(1, 1)\n", "\n", " ## Loading\n", " dt = 0.02\n", " ops.timeSeries('Path', 1,\n", " '-dt', dt,\n", " '-values', *(el_centro_raw[:,1]*g),\n", " '-time', *el_centro_raw[:,0])\n", "\n", " ops.pattern('UniformExcitation', 1, 1, '-accel', 1)\n", " ops.constraints('Transformation')\n", " ops.numberer('Plain')\n", " ops.system('ProfileSPD')\n", " ops.algorithm('Linear', False, False, True)\n", " ops.integrator('Newmark', 0.5, 0.25)\n", " ops.analysis('Transient')\n", " \n", " results = {'D':[],'V':[], 'A':[]}\n", " for i in range(len(el_centro_raw)):\n", " ops.analyze(1, dt)\n", " results['D'].append(ops.nodeDisp(2, 1))\n", " results['V'].append(ops.nodeVel(2, 1))\n", " results['A'].append(ops.nodeAccel(2, 1)) \n", " \n", " return {'SD': np.max(np.abs(results['D'])),\n", " 'SV': np.max(np.abs(results['V'])),\n", " 'SA': np.max(np.abs(results['A']))}\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, I use nested loops to analyse the system for various damping ratios and periods." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Done with zeta= 0.02 !\n", "Done with zeta= 0.03 !\n", "Done with zeta= 0.05 !\n" ] } ], "source": [ "data_frame = dict()\n", "\n", "for z in zeta_list: \n", " # re-initialization\n", " resp = {'T':[0],'SD':[0], 'SV':[0], 'SA':[0]}\n", " \n", " for T in np.arange(T_min, T_max, dT):\n", " SR = analyze_SDOF(T, z)\n", " resp['SD'].append(SR['SD'])\n", " resp['SV'].append(SR['SV'])\n", " resp['SA'].append(SR['SA'])\n", " resp['T'].append(T)\n", " \n", " # Appending keys and values dynamically\n", " data_frame[z] = resp\n", " print('Done with zeta=', z,'!')\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Displacment -----------\n", "plt.figure(figsize=(14,5))\n", "\n", "[plt.plot(data_frame[z]['T'], data_frame[z]['SD'],\n", " label=('$\\zeta$ = '+str(z))) for z in zeta_list]\n", "\n", "plt.ylabel('Displacement (cm)', {'fontname':'Cambria',\n", " 'fontstyle':'italic','size':14})\n", "plt.xlabel('Period (sec)', {'fontname':'Cambria',\n", " 'fontstyle':'italic','size':14})\n", "plt.legend()\n", "plt.grid()\n", "plt.yticks(fontname = 'Cambria', fontsize = 14)\n", "plt.xticks(fontname = 'Cambria', fontsize = 14)\n", "plt.title('Displacement Response Spectrum',\n", " {'fontname':'Cambria',\n", " 'fontstyle':'italic','size':18});\n", "\n", "# Velocity ------------\n", "plt.figure(figsize=(14,5))\n", "\n", "[plt.plot(data_frame[z]['T'], data_frame[z]['SV'],\n", " label=('$\\zeta$ = '+str(z))) for z in zeta_list]\n", "\n", "plt.ylabel('Velocity (cm/sec)', {'fontname':'Cambria',\n", " 'fontstyle':'italic','size':14})\n", "plt.xlabel('Period (sec)', {'fontname':'Cambria',\n", " 'fontstyle':'italic','size':14})\n", "plt.legend()\n", "plt.grid()\n", "plt.yticks(fontname = 'Cambria', fontsize = 14)\n", "plt.xticks(fontname = 'Cambria', fontsize = 14)\n", "plt.title('Veloctiy Response Spectrum', \n", " {'fontname':'Cambria', 'fontstyle':'italic','size':18});\n", "\n", "# Acceleration ------------\n", "plt.figure(figsize=(14,5))\n", "\n", "[plt.plot(data_frame[z]['T'], np.array(data_frame[z]['SA'])/g,\n", " label=('$\\zeta$ = '+str(z))) for z in zeta_list]\n", "\n", "plt.ylabel('Acceleration (g)', {'fontname':'Cambria',\n", " 'fontstyle':'italic','size':14})\n", "plt.xlabel('Period (sec)', {'fontname':'Cambria',\n", " 'fontstyle':'italic','size':14})\n", "plt.legend()\n", "plt.grid()\n", "plt.yticks(fontname = 'Cambria', fontsize = 14)\n", "plt.xticks(fontname = 'Cambria', fontsize = 14)\n", "plt.title('Acceleration Response Spectrum',\n", " {'fontname':'Cambria', 'fontstyle':'italic','size':18});" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### References\n", "-
Chopra, A.K., 2017. Dynamics of structures. theory and applications to. Earthquake Engineering.\n", "
" ] } ], "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }