{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Universidade Federal do Rio Grande do Sul (UFRGS) \n", "Programa de Pós-Graduação em Engenharia Civil (PPGEC) \n", "\n", "# PEC00025: Introduction to Vibration Theory\n", "\n", "\n", "### Class 13 - Examples of modal superposition\n", "\n", "[1. Tuned mass dampers](#section_1) \n", "[2. Public loading](#section_2) \n", "[3. Wind buffeting response](#section_3) \n", "[4. Assignment](#section_4) \n", "\n", "---\n", "_Prof. Marcelo M. Rocha, Dr.techn._ [(ORCID)](https://orcid.org/0000-0001-5640-1020) \n", "_Porto Alegre, RS, Brazil_ \n" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "# Importing Python modules required for this notebook\n", "# (this cell must be executed with \"shift+enter\" before any other Python cell)\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.linalg as sc\n", "\n", "from MRPy import MRPy\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Tuned mass damper <a name=\"section_1\"></a> \n", "\n", "A tuned mass damper is an additional mass attached to the main system,\n", "intended to cause a inertial reaction ressonant with some of the system\n", "vibration modes.\n", "\n", "The figure bellow illustrates a general model for this device:\n", "\n", "<img src=\"images/TMDsingle.png\" alt=\"Tuned mass damper\" width=\"360px\"/>\n", "\n", "The damper must be tuned to an optimal frequency, what can be accomplished\n", "by adjusting its mass or its stiffness. \n", "\n", "Let us present a very simple example, for which the original system properties \n", "and the tentative damper design are provided in the following script:\n" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ideal damper frequency: 0.85Hz\n" ] } ], "source": [ "# System properties (without damper)\n", "\n", "m0 = 1000. # system mass (kg)\n", "f0 = 1. # natural frequency (Hz)\n", "k0 = m0*(2*np.pi*f0)**2 # system stiffness (N/m)\n", "zt = 0.01 # same damping ratio for all\n", "\n", "# Damper design\n", "\n", "mD = 40 # damper mass 4% of total (kg)\n", "mr = mD/m0\n", "sm = np.sqrt(mr)\n", "\n", "fr = (np.sqrt(1 - mr/2)/(1 + mr) + np.sqrt(1 - 2*zt*zt) - 1) \\\n", " - (2.375 - 1.034*sm - 0.426*mr)*zt*sm \\\n", " - (3.730 - 16.903*sm + 20.496*mr)*zt*zt*sm\n", "\n", "fD = 0.9*fr*f0 # Tsai and Lin (1993) - modify to fine tuning!!!\n", "kD = mD*(2*np.pi*fD)**2 # tuned damper stiffness (N/m)\n", "\n", "print('Ideal damper frequency: {0:5.2f}Hz'.format(fD))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Damper mass may be something between 2 to 4% of effective system mass.\n", "The higher the mass, the broader the frequency range of damper action. But a too large\n", "damper mass is not economically feasible.\n", "\n", "In the script above, the damper frequency, $f_{\\rm D}$, can be artificially increased \n", "to neutralize its beneficial effect.\n", "\n", "Now, the solution for vibration modes is:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "First vibration mode: 0.82Hz, [ 0.080 0.997]\n", "Second vibration mode: 1.04Hz, [ 0.444 -0.896]\n" ] } ], "source": [ "# Tuned damped system matrices (by displacement method)\n", "\n", "KD = np.array([[ k0+kD, -kD ], # stiffness matrix\n", " [ -kD, kD ]])\n", "\n", "MD = np.array([[ m0, 0 ], # lumped mass matrix\n", " [ 0, mD ]])\n", "\n", "# Uses scipy to solve the standard eigenvalue problem\n", "w2, Phi = sc.eig(KD, MD)\n", "\n", "# Ensure ascending order of eigenvalues\n", "iw = w2.argsort()\n", "w2 = w2[iw]\n", "Phi = Phi[:,iw]\n", "\n", "# Eigenvalues to vibration frequencies\n", "wk = np.sqrt(np.real(w2)) \n", "fk = wk/2/np.pi\n", "\n", "print('First vibration mode: {0:5.2f}Hz, [{1:6.3f} {2:6.3f}]'.format(fk[0], *Phi[:,0]))\n", "print('Second vibration mode: {0:5.2f}Hz, [{1:6.3f} {2:6.3f}]'.format(fk[1], *Phi[:,1]))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The aimed frequency, $f_0 = 1$Hz, has bifurcated into a slightly lower and \n", "a slightly higher frequencies. In first mode both masses displace in the same\n", "direction, while in second mode they displace in opposite directions.\n", "\n", "The modal masses, required to normalize the equilibrium equations are:\n" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "First mode modal mass is: 46.20kg\n", "Second mode modal mass is: 229.53kg\n" ] } ], "source": [ "Mk = np.diag(np.dot(Phi.T, np.dot(MD, Phi)))\n", "\n", "print('First mode modal mass is: {0:7.2f}kg'.format(Mk[0]))\n", "print('Second mode modal mass is: {0:7.2f}kg'.format(Mk[1]))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we define a harmonic excitation exactly at the original system frequency,\n", "to be applied on the system mass (damper has no direct excitation):\n" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "Td = 64. # time discretization parameters\n", "N = 1024\n", "fs = N/Td\n", "\n", "F0 = 0.01*k0 # quasi-static response is 1cm\n", "t = np.linspace(0, Td, N) # time domain\n", "s = np.sin(2*np.pi*fk[0]*t*1.0) # sine wave ressonant with 1st mode\n", "\n", "F = [F0*s, np.zeros(s.shape)] # loading vector\n", "\n", "# Modal force as MRPy object\n", "Fk = MRPy(np.dot(Phi.T, F), fs=fs)\n", "\n", "# Normalize by modal masses:\n", "for k in range(2):\n", " Fk[k,:] /= Mk[k]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, solving the modal equations with Duhamel, coming back from modal space, \n", "and visualizing results:\n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R.M.S. displacement of system mass: 0.058m\n", "R.M.S. displacement of damper: 0.688m\n" ] }, { "data": { "image/png": "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", "text/plain": [ "<Figure size 800x600 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uk = Fk.sdof_Duhamel(fk, zt) # solve modal displacements by Duhamel\n", "ut = MRPy(np.dot(Phi, uk), fs=uk.fs) # back from modal space to nodal displacements\n", "\n", "ut.plot_time(1, figsize=(8,6), axis_t=[0, ut.Td, -1.5, 1.5]);\n", "\n", "print('R.M.S. displacement of system mass: {0:6.3f}m'.format(ut[0].std()))\n", "print('R.M.S. displacement of damper: {0:6.3f}m'.format(ut[1].std()))\n" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "<Figure size 800x200 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(2, figsize=(8,2))\n", "Su, fs = ut.periodogram()\n", "plt.semilogy(ut.f_axis(), Su[0])\n", "f2 = plt.axis([0, 2, 1e-5, 1])\n", "plt.grid(True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Wind buffeting <a name=\"section_2\"></a> \n", "\n", "Please refer to the repository \n", "[Tower - Dynamic analysis of a slender tower under turbulent wind loading](http://nbviewer.jupyter.org/github/mmaiarocha/Tower/blob/master/Tower.ipynb?flush_cache=true), which presents the method behind the brazilian code _NBR6123 - \n", "forças devidas ao vento em edificações_, chapter 9.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Public loading <a name=\"section_3\"></a> \n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Assignments <a name=\"section_4\"></a> \n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 2 }