{
 "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 12 - Forced vibration of multi degree of freedom systems\n",
    "\n",
    "[1.   The Rayleigh quotient](#section_1)  \n",
    "[2.   The damping matrix](#section_2)  \n",
    "[3.   Modal superposition](#section_3)  \n",
    "[4.   Application: seimic response](#section_4)  \n",
    "[5.   Number of modes to be considered](#section_5)  \n",
    "[6.   Modal analysis for static response](#section_6)  \n",
    "[7.   Static equivalent loads](#section_7)  \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 pickle as pk\n",
    "from MRPy import MRPy\n",
    "\n",
    "# Load matrices generated in Class 10 and 11 (those notebooks must be run firstly!)\n",
    "\n",
    "with open('resources/data/sample_KM.pk', 'rb') as target:  # mass and stiffness matrices\n",
    "    K1, M1, K2, M2, K3, M3 = pk.load(target)\n",
    "\n",
    "with open('resources/data/sample_VM.pk', 'rb') as target:  # modal properties\n",
    "    wk1, Phi1, wk2, Phi2, wk3, Phi3 = pk.load(target)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. The Rayleigh quotient <a name=\"section_1\"></a> \n",
    "\n",
    "In a previous class we have seen that for a discrete system the potential\n",
    "elastic and the kinetic energy can be given in matrix notation as:\n",
    "\n",
    "\\begin{align*}\n",
    " V &= \\frac{1}{2} \\; \\vec{u}^{\\intercal} \\mathbf{K} \\,\\vec{u} \\\\\n",
    " T &= \\frac{1}{2} \\; \\dot{\\vec{u}}^{\\intercal} \\mathbf{M} \\, \\dot{\\vec{u}}\n",
    "\\end{align*}\n",
    "\n",
    "These expressions are valid both for each (finite) element, as for the complete system as well.\n",
    "Now we recall the free vibration response in the $k$-th vibration mode and the corresponding velocity:\n",
    "\n",
    "\\begin{align*}\n",
    " \\vec{u}_k(t)       &=          u_{k0} \\sin \\left( \\omega_k t + \\theta_k \\right) \\, \\vec{\\varphi}_k \\\\\n",
    " \\vec{\\dot{u}}_k(t) &= \\omega_k u_{k0} \\cos \\left( \\omega_k t + \\theta_k \\right) \\, \\vec{\\varphi}_k\n",
    "\\end{align*}\n",
    "\n",
    "Disregarding any energy dissipation (damping), both energy forms, $V$ and $T$, must have the same \n",
    "maximum amplitude occurring whenever the sine or the cosine function peaks at unity: \n",
    "\n",
    "$$ \\frac{V_{\\rm max}}{T_{\\rm max}} =  \n",
    " \\frac{     u_{k0}^2 \\; \\left(\\vec{\\varphi}_k^{\\intercal} \\mathbf{K} \\,\\vec{\\varphi}_k \\right)}\n",
    "{\\omega_k^2 u_{k0}^2 \\; \\left(\\vec{\\varphi}_k^{\\intercal} \\mathbf{M} \\,\\vec{\\varphi}_k \\right)} = 1 $$\n",
    "\n",
    "This means that:\n",
    "\n",
    "$$ \\omega_k^2 = \\frac{V_{\\rm max}}{T_{\\rm max}^*} $$\n",
    "\n",
    "where $T_{\\rm max}^*$ is called _reference kinetic energy_, which is the kinetic energy calculated\n",
    "with displacements instead of velocities. \n",
    "\n",
    "The equation above is called _Rayleigh Quotient_, and the equality holds only for free vibration at a given \n",
    "mode $k$, whatever the vibration amplitude $u_{k0}$ is.  \n",
    "However, it can be shown that _any displacement vector, $\\vec{u}$, that minimizes the quotient \n",
    "above IS a vibration mode_. \n",
    "This means that by making an educated guess about $\\vec{u}_k$ for mode $\\vec{\\varphi}_k$ and calculating \n",
    "the corresponding energies, $V_{\\rm max}$ and $T_{\\rm max}^*$, will provide an estimation for $\\omega_k$ \n",
    "that is equal or larger the correct value.\n",
    "\n",
    "In the following example, we use the deformed shape for a central load calculated with FTool for the\n",
    "plane truss (example 1) in [Class 10](https://nbviewer.jupyter.org/github/mmaiarocha/PEC00025/blob/master/Class_10_FromSingleToMany.ipynb?flushcache=true).\n",
    "For the applied load of 1.0kN, the deformed shape is (the central line of the flexibility matrix):\n",
    "\n",
    "<img src=\"images/truss12central.png\" alt=\"Central load\" width=\"780px\"/>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "uk = 1e-3*np.array([[0.1303, 0.2325, 0.2833, 0.2325, 0.1303]]).T    # initial guess for eigenvector (m)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The maximum potential elastic energy can be calculated as the work done by external forces, while the maximum\n",
    "reference kinetic energy is calculated with the (lumped) mass matrix:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "From Rayleigh quotient:       4.02Hz\n",
      "Calculated from eigenproblem: 3.94Hz\n",
      "Estimation error:             2.02% \n"
     ]
    }
   ],
   "source": [
    "Vmax = 1000*uk[2,0]/2                         # work done by central load 1.0kN\n",
    "Tref = np.dot(uk.T, np.dot(M1, uk))[0,0]/2    # reference kinetic with mass matrix\n",
    "\n",
    "# Eigenvalue estimation\n",
    "fk = np.sqrt(Vmax/Tref)/2/np.pi\n",
    "f1 = wk1[0]/(2*np.pi)\n",
    "\n",
    "print('From Rayleigh quotient:       {0:4.2f}Hz'.format(fk)) \n",
    "print('Calculated from eigenproblem: {0:4.2f}Hz'.format(f1))\n",
    "print('Estimation error:             {0:4.2f}% '.format(100*(fk - f1)/f1))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This shows that the Rayleigh quotient may provide a very good estimation of natural frequencies whenever a \n",
    "convincing modal shape is assumed and the corresponding system stiffness is available.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. The damping matrix <a name=\"section_2\"></a> \n",
    "\n",
    "So far the natural frequencies and the corresponding modal shapes have been calculated without considering\n",
    "any energy dissipation. It is however necessary to introduce a damping model, and we shall keep all the\n",
    "mathematical convenience of viscous damping, that implies a reactive force proportional to velocity. \n",
    "In matrix notation the damped equilibrium equation is:\n",
    "\n",
    "$$ {\\mathbf M} \\ddot{\\vec{u}} + {\\mathbf C} \\dot{\\vec{u}} + {\\mathbf K} \\vec{u} = \\vec{F}(t) $$\n",
    "\n",
    "In the next section we introduce the modal superposition method for solving linear systems subjected to\n",
    "forced vibration. The method take advantage of the mode orthogonality with respect to both mass and stiffness\n",
    "matrices. To keep this advantage for damped systems, the damping matrix must also respect the orthogonality\n",
    "condition, what is a quite restrictive requirement. The most practical approach for ensuring this orthogonality\n",
    "is defining the damping matrix as a linear combination of mass and stiffness:\n",
    "\n",
    "$$ {\\mathbf C} = \\alpha_0 {\\mathbf M} + \\alpha_1 {\\mathbf K} $$\n",
    "\n",
    "This means that:\n",
    "\n",
    "\n",
    "$$ C_k = \\alpha_0 \\left( \\vec{\\varphi}_k^{\\intercal} {\\mathbf M} \\vec{\\varphi}_k \\right)  + \n",
    "         \\alpha_1 \\left( \\vec{\\varphi}_k^{\\intercal} {\\mathbf K} \\vec{\\varphi}_k  \\right) = \n",
    "         \\alpha_0 M_k + \\alpha_1 K_k $$\n",
    "\n",
    "where $C_k$, $M_k$ and $K_k$ are called modal damping, modal mass and modal stiffness, respectivelly.\n",
    "Now we observe that the same definitions used for a one degree of freedom system can be applied to these \n",
    "modal properties: \n",
    "\n",
    "$$ C_k = 2 \\zeta_k M_k \\omega_k = \\alpha_0 M_k + \\alpha_1 M_k \\omega_k^2 $$\n",
    "\n",
    "Dividing all terms by $2 M_k \\omega_k$ gives the modal damping ratio:\n",
    "\n",
    "$$ \\zeta_k = \\alpha_0 \\left( \\frac{1}{2 \\omega_k} \\right) + \\alpha_1 \\left( \\frac{\\omega_k}{2} \\right) $$\n",
    "\n",
    "what means the modal damping can be estimated directly from the modal frequency, such that once two\n",
    "pairs $(\\zeta_i, \\omega_i)$ and $(\\zeta_j, \\omega_j)$ are specified, the complete damping matrix is defined \n",
    "from the solution of an equation system for $\\alpha_0$ and $\\alpha_1$.\n",
    "\n",
    "As an example, let us take the truss above and specify a damping ratio of 1% for the second and the fourth modes.\n",
    "The calculation is done as shown below:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate the combination coefficients\n",
    "\n",
    "wki = wk1[2];  zti = 0.010\n",
    "wkj = wk1[4];  ztj = 0.010\n",
    "\n",
    "alpha = np.linalg.solve([[1/(2*wki), wki/2], \n",
    "                         [1/(2*wkj), wkj/2]], [zti, ztj])\n",
    "\n",
    "# Define damping as functions of frequency\n",
    "\n",
    "ztM  = lambda fk: alpha[0]/(4*np.pi*fk)    # only M proportional\n",
    "ztK  = lambda fk: alpha[1]*np.pi*fk        # only K proportional\n",
    "ztMK = lambda fk: ztM(fk) + ztK(fk)        # mixed M and K model\n",
    "\n",
    "# Visualize damping ratios for all vibration modes\n",
    "\n",
    "fk1 = wk1/(2*np.pi)\n",
    "fk  = np.linspace(0.1, 60, 200)\n",
    "\n",
    "plt.figure(1, figsize=(8,4))\n",
    "plt.plot(fk,  ztMK(fk ), 'b' , lw=2.0)\n",
    "plt.plot(fk,  ztM (fk ), 'g:', lw=1.5)\n",
    "plt.plot(fk,  ztK (fk ), 'g:', lw=1.5)\n",
    "plt.plot(fk1, ztMK(fk1), 'ro')\n",
    "plt.xlabel('Natural frequency (Hz)')\n",
    "plt.ylabel('Damping ratio of critical (nondim)')\n",
    "plt.axis([0, 60, 0, 0.05])\n",
    "\n",
    "plt.grid(True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One can conclude that damping ratios for all further modes are consequence of the specification of pairs\n",
    " $(\\zeta_i, \\omega_i)$ and $(\\zeta_j, \\omega_j)$, which must be wisely chosen. Frequencies inside the interval\n",
    " will present lower, outside higher damping ratios.\n",
    " \n",
    " There are other techniques for assembling a damping matrix that presents mathematical convenience, but any\n",
    " solution beyond the simple one presented above will result in complex eigenvalues and eigenvectors and will\n",
    " not be explored in this course.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.2901579 0.4993386 0.5770084 0.4993386 0.2901579]\n",
      "[0.00648813 0.01116555 0.0129023  0.01116555 0.00648813]\n",
      "[1. 1. 1. 1. 1.]\n"
     ]
    }
   ],
   "source": [
    "Mk = np.dot(Phi1.T,np.dot(M1, Phi1))\n",
    "\n",
    "q1 = Phi1[:,0]\n",
    "print(q1)\n",
    "\n",
    "for k in range(5):\n",
    "    Phi1[:,k] = Phi1[:,k] / np.sqrt(Mk[k,k]) \n",
    "    \n",
    "q1 = Phi1[:,0]\n",
    "print(q1)\n",
    "\n",
    "Mk = np.dot(Phi1.T,np.dot(M1, Phi1))\n",
    "\n",
    "print(np.diag(Mk))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Modal Superposition in time domain <a name=\"section_3\"></a> \n",
    "\n",
    "We have seen how to solve the undamped matrix equilibrium equation for initial conditions \n",
    "$\\vec{u}_0$ and $\\vec{v}_0$. Now we will present the _most used method_ for solving the\n",
    "damped equilibrium for any given load vector $\\vec{F}(t)$:\n",
    "\n",
    "$$ {\\mathbf M} \\ddot{\\vec{u}} + {\\mathbf C} \\dot{\\vec{u}} + {\\mathbf K} \\vec{u} = \\vec{F}(t) $$\n",
    "\n",
    "We start by recalling the time-space separation assumption:\n",
    "\n",
    "$$ \\vec{u}(t) = \\sum_{k = 1}^{N} u_k(t) \\, \\vec{\\varphi}_k = \\mathbf{\\Phi}\\vec{u}_k(t) $$\n",
    "\n",
    "which has led to the modal properties $\\left( \\omega_k, \\vec{\\varphi}_k \\right)$. \n",
    "Replacing this assumption in the matrix equilibrium equation and pre-multiplying by \n",
    "${\\mathbf \\Phi}^{\\intercal}$ gives:\n",
    "\n",
    "$$ \\left( {\\mathbf \\Phi}^{\\intercal}{\\mathbf M}{\\mathbf \\Phi} \\right) \\, \\ddot{\\vec{u}}_k + \n",
    "   \\left( {\\mathbf \\Phi}^{\\intercal}{\\mathbf C}{\\mathbf \\Phi} \\right) \\,  \\dot{\\vec{u}}_k + \n",
    "   \\left( {\\mathbf \\Phi}^{\\intercal}{\\mathbf K}{\\mathbf \\Phi} \\right) \\,       \\vec{u}_k  =\n",
    "          {\\mathbf \\Phi}^{\\intercal} \\vec{F}(t) $$\n",
    "\n",
    "The orthogonality of matrix ${\\mathbf \\Phi}$ (the orthogonality of modal shapes $\\vec\\phi_k$)\n",
    "leads to a decouple of the matrix equation, which becomes a system of $N$ scalar equations:\n",
    "\n",
    "$$ \\left( \\vec\\varphi_k^{\\intercal}{\\mathbf M} \\vec\\varphi_k \\right) \\, \\ddot{u}_k + \n",
    "   \\left( \\vec\\varphi_k^{\\intercal}{\\mathbf C} \\vec\\varphi_k \\right) \\,  \\dot{u}_k + \n",
    "   \\left( \\vec\\varphi_k^{\\intercal}{\\mathbf K} \\vec\\varphi_k \\right) \\,        u_k = \n",
    "    \\vec\\varphi_k^{\\intercal} \\vec{F}(t),\n",
    "    \\hspace{1cm} k = 1, 2, \\dots, N   $$\n",
    "\n",
    "where $M_k = \\vec\\phi_k^{\\intercal}{\\mathbf M} \\vec\\phi_k$,\n",
    "$C_k = \\vec\\phi_k^{\\intercal}{\\mathbf C} \\vec\\phi_k$, and\n",
    "$K_k = \\vec\\phi_k^{\\intercal}{\\mathbf K} \\vec\\phi_k$, are the so-called _modal mass_,\n",
    "_modal damping_ and _modal stiffness_, respectively. \n",
    "The well known relation $K_k = \\omega_k^2 M_k$ still holds.\n",
    "Observe that the modal damping \n",
    "definitions is only possible if the orthogonality is forced as, for instance, shown\n",
    "in the previous section.\n",
    "\n",
    "Each dynamic equilibrium scalar equation:\n",
    "\n",
    "$$ M_k \\ddot{u}_k + C_k \\dot{u}_k + K_k  u_k = F_k(t) $$\n",
    "\n",
    "or\n",
    "\n",
    "$$ \\ddot{u}_k + 2\\zeta_k\\omega_k \\dot{u}_k + \\omega_k^2 u_k = F_k(t)/M_k $$\n",
    "\n",
    "is the equation of a single degree of freedom system subjected to \n",
    "the _modal load_:\n",
    "\n",
    "$$ F_k(t) = \\vec\\phi_k^{\\intercal} \\vec{F}(t) $$\n",
    "\n",
    "It is very important to realize that the concept of _degree of freedom_\n",
    "in the equation above does not refer to a the classical definition,\n",
    "rather to a more broad _generalized_ definition. Here, a degree of\n",
    "freedom is the _scale_ to be applied to each modal shape. \n",
    "\n",
    "After the $N$ scalar equations are solved, for instance by some\n",
    "numerical method like the Duhamel integral, the _nodal_ displacements\n",
    "can be recomposed and the structure can be designed for the maximum\n",
    "strains or stresses resulting from the dynamic load, with the\n",
    "ressonant response duly taken into account.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Example of application: seismic response <a name=\"section_4\"></a> \n",
    "\n",
    "As an example of application, let us apply a base acceleration\n",
    "in the 3-dof model described in the previous classes. We shall then\n",
    "analyse the amplitude of peak response to this seismic loading.\n",
    "\n",
    "$$ m \\left(\\ddot{u} + \\ddot{u}_{\\rm G} \\right) + c \\dot{u} + k u = 0 $$\n",
    "\n",
    "Hence: \n",
    "\n",
    "$$ m \\ddot{u} + c \\dot{u} + k u =  -m a_{\\rm G} $$\n",
    "\n",
    "Firstly we load the acceleration record and build the load vector,\n",
    "which is simply the ground acceleration multiplied by the mass of\n",
    "each model mass:\n",
    "\n",
    "<img src=\"images/ground_acceleration.png\" alt=\"ground acceleration\" width=\"600px\"/>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aG =  MRPy.from_file('resources/data/earthquake', form='columns')\n",
    "\n",
    "FG =  np.dot(M3, np.tile(aG[0], (3,1)))\n",
    "FG =  MRPy(-FG, fs=aG.fs)\n",
    "\n",
    "f2 =  FG.plot_time(2, figsize=(8,6), axis_t=[0, aG.Td, -0.2, 0.2])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Be aware that these are _NODAL forces_.\n",
    "The next step is to move the problem to modal space.\n",
    "To have a orthogonal damping matrix we specify 1% damping \n",
    "for modes 1 and 3:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "wki = wk3[0];  zti = 0.01\n",
    "wkj = wk3[1];  ztj = 0.01\n",
    "\n",
    "alpha = np.linalg.solve([[1/(2*wki), wki/2], \n",
    "                         [1/(2*wkj), wkj/2]], [zti, ztj])\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we calculate the modal parameters and the modal forces:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.01      0.01      0.0124698]\n",
      "[0.33 0.33 0.33]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fk = wk3/(2*np.pi)\n",
    "zk = ztMK(fk)\n",
    "\n",
    "print(zk)\n",
    "\n",
    "Mk = np.diag(np.dot(Phi3.T, np.dot(M3, Phi3)))\n",
    "Kk = Mk*(wk3**2)\n",
    "Fk = MRPy(np.dot(Phi3.T, FG), fs=FG.fs)\n",
    "\n",
    "f3 = Fk.plot_time(3, figsize=(8,6), axis_t=[0, aG.Td, -0.4, 0.4])\n",
    "\n",
    "print(Mk)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, be aware that these are _MODAL forces_. \n",
    "The solution in modal space can be calculates using Duhamel, but first\n",
    "the modal loads must be divided by the modal masses according to\n",
    "the convention used for the ``sdof_Duhamel()`` method.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.00150316 0.00121104 0.00067584]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Mass division must be a matrix operation...\n",
    "ak = MRPy(np.dot(np.diag(1/Mk), Fk), fs=Fk.fs)\n",
    "\n",
    "# ... and now solving\n",
    "uk   = ak.sdof_Duhamel(fk, zk)             # modal space solution\n",
    "utot = MRPy(np.dot(Phi3, uk), fs=uk.fs)    # nodal solution\n",
    "\n",
    "#f4   =   uk.plot_time(4, figsize=(8,6), axis_t=[0, utot.Td/2, -0.002, 0.002])\n",
    "f5   = utot.plot_time(4, figsize=(8,6), axis_t=[0, utot.Td/2, -0.002, 0.002])\n",
    "\n",
    "upk  = utot.max(axis=1)\n",
    "print(upk)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can observe that the system response occurs mainly in the first mode.\n",
    "\n",
    "<img src=\"images/model3dof_mode1.jpg\" alt=\"model 3 dof first mode\" width=\"180px\"/>\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Number of modes to be considered <a name=\"section_5\"></a>\n",
    "\n",
    "In the last section we have calculated the seismic response by \n",
    "superposing all three modes obtained from the 3-dof numerical model. However,\n",
    "the main advantage of modal superposition is _exactly_ the possibility\n",
    "of truncating the summation:\n",
    "\n",
    "$$ \\vec{u}(t) = \\sum_{k = 1}^{M} u_k(t) \\, \\vec{\\varphi}_k $$\n",
    "\n",
    "to a number $M < N$ of relevant modes. In the previous example, if we had kept\n",
    "only the first mode ($M = 1$) the result would be as shown below.\n",
    "The error between considering all three modes and considering only\n",
    "the first mode is plotted.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "utot1 = np.zeros(uk.shape)            # allocating space for nodal response\n",
    "qk1   = Phi3[:,0]                     # retrieve only first vibration mode\n",
    "\n",
    "for k in range(3):\n",
    "    utot1[k,:] = uk[0]*qk1[k]         # nodal response for each d.o.f.\n",
    "\n",
    "err = MRPy(utot - utot1, uk.fs)           # error as a time series\n",
    "\n",
    "f5  = err.plot_time(5, figsize=(8,6), axis_t=[0, utot.Td/2, -0.0002, 0.0002])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result above shows that considering only the first vibration mode\n",
    "(in the given example) will lead to a quite accurate result, with neglectable\n",
    "error in comparison to the total response amplitude.\n",
    "\n",
    "To decide what is the truncation $M < N$ suitable for any structural system,\n",
    "let us recall the dynamic equilibrium equation:\n",
    "\n",
    "$$ {\\mathbf M} \\ddot{\\vec{u}} + {\\mathbf C} \\dot{\\vec{u}} + {\\mathbf K} \\vec{u} = \\vec{F}(t) $$\n",
    "\n",
    "where we assume that the mass matrix is of lumped type (only diagonal \n",
    "elements are not zero) and the external force is defined as:\n",
    "\n",
    "$$ \\vec{F}(t) = -{\\mathbf M} \\vec{r} a_{\\rm G}(t) $$\n",
    "\n",
    "The column vector $\\vec{r}$ (containing direction cosines) addresses the \n",
    "translational degrees of freedom that will receive the inertial load, \n",
    "according to the direction of ground acceleration. Rotational degrees of\n",
    "freedom will be addressed with zero. \n",
    "For instance, in the 3-dof example the vector $\\vec{r}$ contains \n",
    "only 1's, for all three structural nodes are subjected to $a_{\\rm G}(t)$\n",
    "(ground acceleration is assumed to be aligned to the three degrees\n",
    "of freedom).\n",
    "\n",
    "Applying modal decomposition to the matrix equation yields:\n",
    "\n",
    "$$ M_k \\ddot{u}_k + C_k \\dot{u}_k + K_k  u_k = \n",
    "   -\\left( \\vec\\varphi_k^{\\intercal} {\\mathbf M} \\vec{r} \\right) a_{\\rm G}(t) $$\n",
    "\n",
    "\n",
    "Now we defined a _modal seismic load factor_, a scalar quantity, as:\n",
    "\n",
    "$$ L_k = \\vec\\varphi_k^{\\intercal} {\\mathbf M} \\vec{r} $$\n",
    "\n",
    "and divide the whole equation by the modal mass $M_k$:\n",
    "\n",
    "$$ \\ddot{u}_k + 2\\zeta_k \\omega_k \\dot{u}_k + \\omega_k^2 u_k = \n",
    "   -\\left( \\frac{L_k}{M_k} \\right) a_{\\rm G}(t) $$\n",
    "\n",
    "It can be shown that:\n",
    "\n",
    "$$ M_{\\rm tot} = \\sum_{k = 1}^{N}{\\frac{L_k^2}{M_k}}$$\n",
    "\n",
    "where $M_{\\rm tot}$ is the system total mass (sum of all diagonal\n",
    "elements of ${\\mathbf M}$). Finally we define a _weightning factor_, \n",
    "$W_k$, such that:\n",
    "\n",
    "$$ W_k = \\frac{L_k^2 / M_k }{M_{\\rm tot}} $$\n",
    " \n",
    "which does not depend on the ground acceleration $a_{\\rm G}(t)$, \n",
    "but depends on the addressing vector $\\vec{r}$ and on the modal\n",
    "shapes $\\vec{\\varphi}_k$.\n",
    "The number of modes to be considered for truncation, $M$, must be \n",
    "such that the factors $W_k$ add up closely enough to unity.\n",
    "\n",
    "For instance, let us calculate the weightning factors for the \n",
    "three modes of the previous example.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Weightning factor mode 1:  0.9141\n",
      "Weightning factor mode 2:  0.0749\n",
      "Weightning factor mode 3:  0.0110\n"
     ]
    }
   ],
   "source": [
    "r3   = np.array([1, 1, 1])                        # addressing vector\n",
    "Lk   = np.dot(np.dot(Phi3.T, M3), r3)             # modal factors\n",
    "Mk   = np.diag(np.dot(np.dot(Phi3.T, M3), Phi3))  # modal masses\n",
    "\n",
    "Mtot =  np.sum(np.diag(M3))                       # total mass\n",
    "Wk   = (Lk**2)/Mk/Mtot                            # weightning factors\n",
    "\n",
    "print('Weightning factor mode 1:  {0:5.4f}'.format(Wk[0]))\n",
    "print('Weightning factor mode 2:  {0:5.4f}'.format(Wk[1]))\n",
    "print('Weightning factor mode 3:  {0:5.4f}'.format(Wk[2]))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This results explains why the first mode alone is capable of satisfactorily \n",
    "representing the complete system response. However, never forget that\n",
    "this analysis depends on the addressing vector $\\vec{r}$, that distributes\n",
    "the load among the degrees of freedom, as well as on the the\n",
    "modal shapes themselves.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. Modal analysis for static response <a name=\"section_6\"></a> \n",
    "\n",
    "It can be shown that the system flexibility matrix (the inverse of the\n",
    "system stiffness matrix) can be reconstituted from vibration modes as:\n",
    "\n",
    "$$ {\\mathbf H}= {\\mathbf K}^{-1} = \\sum_{k = 1}^{N}\n",
    "   {\\frac{\\vec\\varphi_k \\vec\\varphi_k^{\\intercal}}{\\omega_k^2 M_k}}$$ \n",
    "\n",
    "Observe that each mode contributes to the full matrix as the product\n",
    "$\\vec\\varphi_k \\vec\\varphi_k^{\\intercal}$ has dimensions $N\\times N$.\n",
    "Recall also that the product $\\omega_k^2 M_k$ is the modal stiffness,\n",
    "$K_k$ for mode $k$.\n",
    "\n",
    "If the summation in the equation above is truncated to only $M$ terms,\n",
    "the flexibility matrix ${\\mathbf K}^{-1}$ will be ill-conditioned and \n",
    "cannot be inverted to give the stiffness matrix, ${\\mathbf K}$.\n",
    "It can, however, be used to calculate an approximate static response\n",
    "to any given load vector as: \n",
    "\n",
    "$$ \\vec{u} = {\\mathbf K}^{-1} \\vec{F}$$\n",
    "\n",
    "As an example of application, we will calculate the vertical displacement\n",
    "of the central node in the plane truss subjected to self weight using\n",
    "only the first modal shape. Recall that this result has been previously\n",
    "calculated with Ftool as 20.48mm, while the same result using the \n",
    "condensed stiffness matrix was 20.18mm.\n",
    "\n",
    "<img src=\"images/truss12loaded.png\" alt=\"Isostatic truss\" width=\"780px\"/>\n",
    "\n",
    "The first vibration mode is plotted below:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with open('resources/data/sample_VM.pk', 'rb') as target:  # modal properties\n",
    "    wk1, Phi1, wk2, Phi2, wk3, Phi3 = pk.load(target)\n",
    "\n",
    "f6 = plt.figure(6, figsize=(8,2))\n",
    "\n",
    "qk = np.zeros(7)\n",
    "qk[1:-1] = Phi1[:,0]                  # include supports for plotting\n",
    "x  = np.arange(0, 14, 2)\n",
    "\n",
    "#print(Phi1[:,0]/np.max(Phi1[:,0]))\n",
    "#Phi1[:,0] = np.array([0.5, 0.75,  1, 0.5, 0.75])\n",
    "\n",
    "plt.plot(x, qk/np.max(np.abs(qk)))    # normalize by unity\n",
    "plt.axis([0, 12, -0.5, 1.5])\n",
    "plt.text(10, 1, 'fk = {0:3.1f}Hz'.format(fk1[0]));\n",
    "plt.grid(True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we calculate modal properties and build up the (approximated) \n",
    "stiffness matrix and the load vector:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "H1 = np.zeros(K1.shape)\n",
    "\n",
    "for k in range(1):                    # choose how many modes to consider\n",
    "\n",
    "    wk  = wk1[k]                      # fundamental frequency\n",
    "    qk  = Phi1[:,k]                   # first mode\n",
    "    Mk  = np.sum(qk*qk*np.diag(M1))   # modal mass (simplified calculation)\n",
    "    Kk  = wk*wk*Mk                    # modal stiffness\n",
    "    \n",
    "    qk  = qk.reshape(5,1)             # prepare for matrix multiplication\n",
    "    H1 += np.dot(qk,qk.T)/Kk          # approximated flexibility matrix\n",
    "    \n",
    "F  = 20000*np.ones((5,1))             # load vector (two nodes grouped)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, the static displacement vector is calculated:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum displacement at truss center: 20.32\n"
     ]
    }
   ],
   "source": [
    "u  = np.matmul(H1, F)\n",
    "\n",
    "print('Maximum displacement at truss center: {0:5.2f}'.format(1000*u[2,0]))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We conclude that the displacement error at truss center is only 0.7% with respect to the \n",
    "solution with the condensed ${\\mathbf K}$ matrix, which is an amazing result for such a simplification level\n",
    "(only one degree of freedom).\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7. Static equivalent loads <a name=\"section_7\"></a> \n",
    "\n",
    "The dynamic response of a structure with $N$ degrees of freedom must be used for designing the structural elements \n",
    "according to the maximum stresses developed along time. This is not a simple task, for structural displacements\n",
    "may be quite complex multivariate time series. \n",
    "A simple approach for finding the time instant when the largest stresses happen\n",
    "may be monitoring the total potential elastic energy stored in the structure, which is easily calculated as:\n",
    "\n",
    "$$ V = \\frac{1}{2} \\; \\vec{u}^{\\intercal} \\mathbf{K} \\,\\vec{u} $$\n",
    "\n",
    "If now we replace the modal decomposition for displacements, \n",
    "\n",
    "$$ V(t) = \\frac{1}{2} \\sum_{k = 1}^{N} u_k^2(t) \\; \\vec{\\varphi}_k^{\\intercal} \\mathbf{K} \\vec{\\varphi}_k $$\n",
    "\n",
    "and recognize that $\\vec{\\varphi}_k^{\\intercal} \\mathbf{K} \\vec{\\varphi}_k$ is the modal stiffness,\n",
    "$K_k = \\omega_k^2 M_k$, we finally get:\n",
    "\n",
    "$$ V(t) = \\frac{1}{2} \\sum_{k = 1}^{N} \\omega_k^2 M_k \\, u_k^2(t) $$\n",
    "\n",
    "which is a simple (always positive) sum of scalar time series. \n",
    "By searching for time $t_{\\rm max}$ where $V(t)$ reaches a \n",
    "maximum, we finally get the displaced geometry associated to maximum stresses:\n",
    "\n",
    "$$ \\vec{u}_{\\rm max} = \\sum_{k = 1}^{N} u_k(t_{\\rm max}) \\, \\vec{\\varphi}_k $$\n",
    "\n",
    "The sum above may be obviously truncated according to the required accuracy. Once the design displacement\n",
    "is available, there is a _static equivalent load_ that may be specified for the structural designer, which\n",
    "represents a virtual static load that causes the structure to be subjected to the same maximum deformation\n",
    "occurring along the dynamic response.\n",
    "\n",
    "$$ \\vec{F}_{\\rm eq} = {\\mathbf K} \\, \\vec{u}_{\\rm max} \n",
    "                    = \\sum_{k = 1}^{N} u_k(t_{\\rm max}) \\, {\\mathbf K} \\, \\vec{\\varphi}_k$$\n",
    "\n",
    "But again we recall the eigenvalue problem:\n",
    "\n",
    "$$ \\mathbf{K} \\, \\vec{\\varphi}_k = \\omega_k^2 \\, \\mathbf{M} \\, \\vec{\\varphi}_k  $$ \n",
    "\n",
    "and the equivalent load can be writen as:\n",
    "\n",
    "$$ \\vec{F}_{\\rm eq} = \\sum_{k = 1}^{N}  \\omega_k^2 u_k(t_{\\rm max}) \\, \\mathbf{M} \\vec{\\varphi}_k$$\n",
    "\n",
    "It is important to observe that there may be several deformed configurations, \n",
    "or several peak for time series $V(t)$,\n",
    "leading to relevant loading conditions. \n",
    "\n",
    "As an example of application, let us go back to the seismic response analysis in section 4 and specify an\n",
    "static equivalent load for the structural response. Firstly we take a look at the instantaneous elastic\n",
    "potential energy.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3,)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Mk = np.diag(np.dot(np.dot(Phi3.T, M3), Phi3))    # modal masses\n",
    "Kk = wk3*wk3*Mk                                   # modal stiffnesses\n",
    "V  = MRPy(uk*uk/2, fs=uk.fs).superpose(Kk)        # total elastic energy\n",
    "\n",
    "f7 = V.plot_time(7, figsize=(8,4), axis_t=(0, uk.Td/2, 0, 0.001))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we look for the moment when $V(t)$ reaches a peak:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time instant with maximum potential energy:  10.47s.\n"
     ]
    }
   ],
   "source": [
    "imax = np.argmax(V[0])\n",
    "tmax = imax/uk.fs\n",
    "umax = uk[:,imax]       # uk(tmax)\n",
    "\n",
    "print('Time instant with maximum potential energy: {0:6.2f}s.'.format(tmax))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, the static equivalent load is calculated:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.61147849 -0.48939257 -0.3031919 ]\n",
      "[-0.00161579 -0.00129876 -0.00072798]\n"
     ]
    }
   ],
   "source": [
    "Mqk = np.dot(M3, Phi3)\n",
    "Feq = np.zeros_like(umax)\n",
    "\n",
    "#print(umax, umax.shape, Feq)\n",
    "\n",
    "for k in range(3):\n",
    "    Feq += wk3[k]*wk3[k]*umax[k]*Mqk[:,k]\n",
    "    \n",
    "ueq = np.linalg.solve(K3,Feq)\n",
    "print(Feq)\n",
    "print(ueq)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6 5 4 3 2 1]\n"
     ]
    }
   ],
   "source": [
    "a = np.array([1,2,3,4,5,6])[::-1]\n",
    "print(a)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Assignment (2.2)\n",
    "\n",
    "1. Apresentar uma estimativa da frequência fundamental através do quociente de Rayleigh.\n",
    "\n",
    "2. Apresentar a resposta a um impulso unitário (estruturas horizontais: impulso vertical no centro; estruturas verticais: impulso horizontal no topo). Apresente o deslocamento no tempo para o nó que recebeu o impulso e o respectivo periodograma.\n",
    "\n",
    "3. Calcular a força estática equivalente para a resposta ao impulso unitário e conferir no Ftool.\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"
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 },
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}