{ "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": 1, "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 \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", "\"Tuned\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": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ideal damper frequency: 0.90Hz\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 = 80 # 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 = 1.0*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": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "First vibration mode: 0.82Hz, [ 0.165 0.986]\n", "Second vibration mode: 1.10Hz, [ 0.431 -0.902]\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 = 1.\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": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "First mode modal mass is: 105.04kg\n", "Second mode modal mass is: 251.26kg\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": 37, "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) # 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": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R.M.S. displacement of system mass: 0.103m\n", "R.M.S. displacement of damper: 0.610m\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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, 10])\n", "plt.grid(True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Wind buffeting \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 \n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Assignments \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 }