{ "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 \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", "\"Central\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 \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": {}, "outputs": [ { "data": { "text/plain": [ "array([ 7.87570465, 26.57749809, 46.15819539, 64.76001894, 73.53847891])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wk1/np.pi" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[4.22719026e-01 1.17818586e-04]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate the combination coefficients\n", "\n", "wki = wk1[0]; zti = 0.010\n", "wkj = wk1[2]; 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", "\n", "print(alpha)" ] }, { "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": 6, "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 \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 \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", "\"ground\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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": 8, "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": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.33 0.33 0.33]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fk = wk3/(2*np.pi)\n", "zk = ztMK(fk)\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": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.00150316 0.00121104 0.00067584]\n" ] }, { "data": { "image/png": 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", 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" ] }, "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", "\"model\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Number of modes to be considered \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": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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": 12, "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 \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", "\"Isostatic\n", "\n", "The first vibration mode is plotted below:\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": 14, "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": 15, "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 \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": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": 17, "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": 18, "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": 19, "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" } }, "nbformat": 4, "nbformat_minor": 2 }