{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Bathe Model Problem\n", "#### March 2020, By Amir Hossein Namadchi\n", "This is an OpenSeesPy simulation of a simple linear 3 DOF system introduced by [Bathe and Noh](https://www.sciencedirect.com/science/article/abs/pii/S0045794912000107). The model was used to demonstrate the ability of Bathe method in filtering out the unwanted artificial high-frequency responses. The effectiveness of numerical dissipation in a specific time integration algorithm could be evaluated by analyzing this benchmark model problem [[1]](https://link.springer.com/article/10.1007/s00366-020-00960-w)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![ModelProblem](imgs/ModelProblem.PNG)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import openseespy.opensees as ops\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No units were defined in the original paper. So, I just assume the base units as follows:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "## Units\n", "m = 1 # Meters\n", "KN = 1 # KiloNewtons\n", "s = 1 # Seconds\n", "\n", "kg = KN*(s**2)/m # mass unit (derived)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Model specifications are defined as follows:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Nodal mass values\n", "m_1, m_2, m_3 = 0*kg, 1*kg, 1*kg\n", "\n", "# Modulus of Elasticity\n", "E_1, E_2 = (10.0**7)*(KN/m**2) , 1.0*(KN/m**2)\n", "\n", "# Prescribed displacment @ node 1\n", "d_p = lambda t: np.sin(1.2*t)*m" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Dynamic Analysis Parameters\n", "dt = 0.2618\n", "time = 10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's the exact solution for comparison. It can be obtained using modal decomposition technique, considering only the lowest frequency plus the static correction [[1]](https://link.springer.com/article/10.1007/s00366-020-00960-w)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "d_2_ex = lambda t : (2.7273e-7)*np.sin(t) + np.sin(1.2*t)\n", "d_3_ex = lambda t : (2.7273)*np.sin(t) - (2.2727)*np.sin(1.2*t)\n", "\n", "v_2_ex = lambda t : (2.7273e-7)*np.cos(t) + 1.2*np.cos(1.2*t)\n", "v_3_ex = lambda t : (2.7273)*np.cos(t) - 1.2*(2.2727)*np.cos(1.2*t)\n", "\n", "a_2_ex = lambda t : -(2.7273e-7)*np.sin(t) - 1.2*1.2*np.sin(1.2*t)\n", "a_3_ex = lambda t : -(2.7273)*np.sin(t) + 1.2*1.2*(2.2727)*np.sin(1.2*t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Construction\n", "I use `zeroLength` element to model the spings, then add nodal masses via `mass` command. Also,I wrapped the whole modeling steps in `build_model()` function to use it later." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "def build_model():\n", " \n", " ops.wipe()\n", " ops.model('basic','-ndm',1,'-ndf',1)\n", "\n", " # Adding nodes\n", " [ops.node(n+1, 0.0) for n in range(3)]\n", "\n", " # Defining Material (spring stiffness)\n", " ops.uniaxialMaterial('Elastic', 1, E_1)\n", " ops.uniaxialMaterial('Elastic', 2, E_2)\n", "\n", " # Adding springs\n", " ops.element('zeroLength', 1, *[1,2], '-mat', 1, '-dir', 1)\n", " ops.element('zeroLength', 2, *[2,3], '-mat', 2, '-dir', 1)\n", "\n", " # Adding Nodal masses\n", " [ops.mass(n+1, mass) for n, mass in enumerate([m_1,m_2,m_3])];\n", " print('Model built successfully!')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dynamic Analysis\n", "To use different time integration algorithms, the function `do_dynamic_analysis` is defined herein. Just pass the `time`, `dt` and `integrator_params` and run it multiple times with different integrators. Here, Newmark with $\\gamma=0.5$ and $\\beta=0.25$ (a non-dissipative algorithm) and [the Bathe method](http://web.mit.edu/kjb/www/Principal_Publications/On_a_Composite_Implicit_Time_Integration_Procedure_for_Nonlinear_Dynamics.pdf), named as 'TRBDF2' (with asymptotic annihilation property) are used.\n", "\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def do_dynamic_analysis(time, dt, integrator_params):\n", " \n", " build_model()\n", " time_domain = np.arange(0,time,dt)\n", "\n", "\n", " # Constraints\n", " ops.timeSeries('Path', 1,\n", " '-dt', dt,\n", " '-values', *np.vectorize(d_p)(time_domain),\n", " '-time', *time_domain)\n", " ops.pattern('Plain', 1, 1)\n", " ops.sp(1, 1, 1)\n", "\n", " # Analysis\n", " ops.constraints('Transformation')\n", " ops.numberer('Plain')\n", " ops.system('ProfileSPD')\n", " ops.algorithm('Linear')\n", " ops.integrator(*integrator_params)\n", " ops.analysis('Transient')\n", "\n", " time_lst =[0] # list to hold time stations for plotting\n", " res_node_2 = [[0,0,0]] # response params of node 2 \n", " res_node_3 = [[0,0,0]] # response params of node 3\n", "\n", " for i in range(len(time_domain)):\n", " ops.analyze(1, dt)\n", " time_lst.append(ops.getTime())\n", " res_node_2.append([ops.nodeDisp(2,1),\n", " ops.nodeVel(2,1),\n", " ops.nodeAccel(2,1)])\n", " res_node_3.append([ops.nodeDisp(3,1),\n", " ops.nodeVel(3,1),\n", " ops.nodeAccel(3,1)])\n", " \n", " print('Done with ', integrator_params[0],'!')\n", " \n", " return {'time_list':np.array(time_lst),\n", " 'Node 2': np.array(res_node_2), \n", " 'Node 3': np.array(res_node_3)}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's perform analysis:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model built successfully!\n", "Done with Newmark !\n", "Model built successfully!\n", "Done with TRBDF2 !\n" ] } ], "source": [ "newmark = do_dynamic_analysis(time, dt,['Newmark',0.5,0.25])\n", "bathe = do_dynamic_analysis(time, dt,['TRBDF2'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization" ] }, { "cell_type": "code", "execution_count": 32, "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(np.arange(0, time, 0.2*dt),\n", " np.vectorize(v_2_ex)(np.arange(0,time,0.2*dt)),\n", " color = '#7D3C98', linewidth = 2, label = 'Exact')\n", "plt.plot(newmark['time_list'], newmark['Node 2'][:,1],\n", " color = '#d62d20', linewidth=1.5, ls='--', label = 'Newmark (CAAM)' )\n", "plt.plot(bathe['time_list'], bathe['Node 2'][:,1],\n", " color = '#008000', linewidth=1.75, label = 'Bathe (TRBDF2)', marker = 'o',ls=':')\n", "\n", "plt.ylabel('Velocity of Node 2 (m/s)', {'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.ylim([-3, 3])\n", "plt.grid()\n", "plt.legend()\n", "plt.yticks(fontname = 'Cambria', fontsize = 14)\n", "plt.xticks(fontname = 'Cambria', fontsize = 14);" ] }, { "cell_type": "code", "execution_count": 33, "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(np.arange(0, time, 0.2*dt),\n", " np.vectorize(a_2_ex)(np.arange(0,time,0.2*dt)),\n", " color = '#7D3C98', linewidth = 2, label = 'Exact')\n", "plt.plot(newmark['time_list'], newmark['Node 2'][:,2],\n", " color = '#d62d20', linewidth=1.5, ls='--', label = 'Newmark (CAAM)' )\n", "plt.plot(bathe['time_list'], bathe['Node 2'][:,2],\n", " color = '#008000', linewidth=1.75, label = 'Bathe (TRBDF2)', marker = 'o',ls=':')\n", "\n", "plt.ylabel('Acceleration of Node 2 m/s^2', {'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.ylim([-30, 30])\n", "plt.grid()\n", "plt.legend()\n", "plt.yticks(fontname = 'Cambria', fontsize = 14)\n", "plt.xticks(fontname = 'Cambria', fontsize = 14);\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Closure\n", "As expected, non-dissipative methods like CAAM are unable to represent the exact response due to spurious high frequency oscillations. On the other hand, TRBDF2 scheme can effectively damp out these oscillations via algorithmic damping." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### References\n", "-
Bathe, K.J. and Noh, G., 2012. Insight into an implicit time integration scheme for structural dynamics. Computers & Structures, 98, pp.1-6.
\n", "-
Namadchi, A.H., Jandaghi, E. and Alamatian, J., 2020. A new model-dependent time integration scheme with effective numerical damping for dynamic analysis. Engineering with Computers, pp.1-16.
" ] } ], "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 }