{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Double-Layer Shallow Dome\n", "#### March 2020, Amir Hossein Namadchi\n", "This is an OpenSeesPy simulation of one of the numerical examples in our previously [published paper](https://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0001329). The Core was purely written in *Mathematica*. This is my attempt to perform the analysis again via Opensees Core, to see if I can get the similar results. In the paper, we used *Total Lagrangian* framework to model the structure. Unfortunately, OpenSees does not include this framework, so, alternatively, I will use Corotational truss element.\n" ] }, { "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", "import eSEESminiPy\n", "%matplotlib notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below, the base units are defined as python variables:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "## Units\n", "m = 1 # Meters\n", "KN = 1 # KiloNewtons\n", "s = 1 # Seconds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![a Double-Layer Shallow Dome](imgs/DLSD.PNG)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Defintion\n", "The coordinates information for each node are stored `node_coords`. Each row represent a node with the corresponding coordinates. Elements configuration are also described in `connectivity`, each row representing an element with its node IDs. Elements cross-sectional areas are stored in `area_list`. This appraoch, offers a more pythonic and flexible code when building the model. Since this is a relatively large model, some data will be read from external `.txt` files to keep the code cleaner." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Node Coordinates Matrix (size : nn x 3)\n", "node_coords = np.loadtxt('DLSDome/nodes.txt',\n", " dtype = np.float64) * m\n", "\n", "# Element Connectivity Matrix (size: nel x 2)\n", "connectivity = np.loadtxt('DLSDome/connectivity.txt',\n", " dtype = np.int64).tolist()\n", "\n", "# Loaded Nodes\n", "loaded_nodes = np.loadtxt('DLSDome/loaded_nodes.txt',\n", " dtype = np.int64).tolist()\n", "\n", "# Get Number of total Nodes\n", "nn = len(node_coords)\n", "# Get Number of total Elements\n", "nel = len(connectivity)\n", "\n", "# Cross-sectional area list (size: nel)\n", "area_list = np.ones(nel)*(0.001)*(m**2)\n", "\n", "# Modulus of Elasticity list (size: nel)\n", "E_list = np.ones(nel)*(2.0*10**8)*(KN/m**2)\n", "\n", "# Mass Density\n", "rho = 7.850*((KN*s**2)/(m**4))\n", "\n", "#Boundary Conditions (size: fixed_nodes x 4)\n", "B_C = np.column_stack((np.arange(1,31),\n", " np.ones((30,3), dtype = np.int64))\n", " ).tolist()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Construction\n", "I use list comprehension to add nodes,elements and other objects to the domain. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "ops.wipe()\n", "ops.model('basic','-ndm',3,'-ndf',3)\n", "\n", "# Adding nodes to the model object using list comprehensions\n", "[ops.node(n+1,*node_coords[n]) for n in range(nn)];\n", "\n", "# Applying BC\n", "[ops.fix(B_C[n][0],*B_C[n][1:]) for n in range(len(B_C))];\n", "\n", "# Set Material\n", "ops.uniaxialMaterial('Elastic',1, E_list[0])\n", "\n", "# Adding Elements\n", "[ops.element('corotTruss', e+1, *connectivity[e], area_list[e],\n", " 1,'-rho', rho*area_list[e], '-cMass', 1) for e in range(nel)];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Draw model\n", "The model can now be drawn using eSEESminiPy:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "eSEESminiPy.drawModel()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* ### Eigenvalue Analysis\n", "Let's get the first 6 periods of the structure to see if they coincide with the ones in paper." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The first 6 period of the structure are as follows:\n", " [0.07189215 0.06809579 0.06809578 0.04648394 0.04648388 0.03117022]\n" ] } ], "source": [ "eigenvalues = ops.eigen(6)\n", "T_list = 2*np.pi/np.sqrt(eigenvalues)\n", "print('The first 6 period of the structure are as follows:\\n', T_list)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* ### Dynamic Analysis\n", "Great accordance is obtained in eigenvalue analysis. Now, let's do `wipeAnalysis()` and perform dynamic analysis. The Newmark time integration algorithm with $\\gamma=0.5$ and $\\beta=0.25$ (Constant Average Acceleration Algorithm) is used. Harmonic loads are applied vertically on the `loaded_nodes` nodes.\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "ops.wipeAnalysis()\n", "\n", "# define load function\n", "P = lambda t: 250*np.sin(250*t)\n", "\n", "# Dynamic Analysis Parameters\n", "dt = 0.00025\n", "time = 0.2\n", "time_domain = np.arange(0,time,dt)\n", "\n", "# Adding loads to the domain beautifully\n", "ops.timeSeries('Path', 1,\n", " '-dt', dt,\n", " '-values', *np.vectorize(P)(time_domain),\n", " '-time', *time_domain)\n", "ops.pattern('Plain', 1, 1)\n", "[ops.load(n, *[0,0,-1]) for n in loaded_nodes];\n", "\n", "# Analysis\n", "ops.constraints('Plain')\n", "ops.numberer('Plain')\n", "ops.system('ProfileSPD')\n", "ops.test('NormUnbalance', 0.0000001, 100)\n", "ops.algorithm('ModifiedNewton')\n", "ops.integrator('Newmark', 0.5, 0.25)\n", "ops.analysis('Transient')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "time_lst =[] # list to hold time stations for plotting\n", "d_apex_list = [] # list to hold vertical displacments of the apex\n", "\n", "for i in range(len(time_domain)):\n", " is_done = ops.analyze(1, dt)\n", " if is_done != 0:\n", " print('Failed to Converge!')\n", " break\n", " time_lst.append(ops.getTime())\n", " d_apex_list.append(ops.nodeDisp(362,3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization\n", "Below, the time history of the vertical displacement of the apex is plotted." ] }, { "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": [ "plt.figure(figsize=(12,4))\n", "plt.plot(time_lst, np.array(d_apex_list), color = '#d62d20', linewidth=1.75)\n", "plt.ylabel('Vertical Displacement (m)', {'fontname':'Cambria', 'fontstyle':'italic','size':14})\n", "plt.xlabel('Time (sec)', {'fontname':'Cambria', 'fontstyle':'italic','size':14})\n", "plt.xlim([0.0, time])\n", "plt.grid()\n", "plt.yticks(fontname = 'Cambria', fontsize = 14)\n", "plt.xticks(fontname = 'Cambria', fontsize = 14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Closure\n", "Very good agreements with the paper are obtained.\n", "
Namadchi, Amir Hossein, Farhang Fattahi, and Javad Alamatian. \"Semiexplicit Unconditionally Stable Time Integration for Dynamic Analysis Based on Composite Scheme.\" Journal of Engineering Mechanics 143, no. 10 (2017): 04017119.
\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": "3.8.3" } }, "nbformat": 4, "nbformat_minor": 2 }