{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "using LinearAlgebra, PyPlot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Review: An easy scalar ODE\n", "\n", "Suppose we have the first-order (first-derivative only) [ordinary differential equation (ODE)](https://en.wikipedia.org/wiki/Ordinary_differential_equation):\n", "\n", "$$\n", "\\frac{dx}{dt} = a x\n", "$$\n", "\n", "where $x$ and $a$ are *scalars*. Even if you haven't taken 18.03, you should be able to solve this by inspection, using only elementary calculus: the **only functions whose derivatives are a multiple of themselves are exponentials**:\n", "\n", "$$\n", "x(t) = e^{at} c\n", "$$\n", "\n", "for *any* constant $c$. To get $c$, we need to supply some more information, typically an [initial condition](https://en.wikipedia.org/wiki/Initial_value_problem): we tell you what $x(0)$ is. By inspection, $c = x(0)$, so\n", "\n", "$$\n", "x(t) = e^{at} x(0)\n", "$$\n", "\n", "## Generalization to matrices?\n", "\n", "Now, we would like to generalize this to a **system of ODEs**, where **x is a vector** and $a$ is **replaced by a matrix A**: how do we solve:\n", "\n", "$$\n", "\\frac{d\\vec{x}}{dt} = A\\vec{x}\n", "$$\n", "\n", "given $\\vec{x}(0)$? The trick will be to **use eigenvectors**, for which the matrix **becomes a single number λ** and the problem turns back into the simple scalar problem above.\n", "\n", "As you might already guess, **each eigenvector** will be multiplied by $e^{\\lambda t}$, so the eigenvalues will tell us whether the solutions are exponentially growing or decaying … or oscillating if λ is complex." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Exponential growth and decay\n", "\n", "Consider the following system of two coupled first-order ordinary differential equations (ODEs): $$\\frac{d\\vec{x}}{dt} = A\\vec{x}$$ for the 2×2 matrix:\n", "\n", "$$\n", "A = \\begin{pmatrix}\n", "0.1 & -0.1 \\\\\n", "0.5 & -1\n", "\\end{pmatrix}\n", "$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Matrix{Float64}:\n", " 0.1 -0.1\n", " 0.5 -1.0" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = [ 0.1 -0.1\n", " 0.5 -1 ]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To start with, let's \"blindly\" just plot the \"brute-force\" numerical solutions (never mind yet how we get these… we'll come back to it later) for an initial condition $\\vec{x}(0) = (1,10)$:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = range(0, 20, length=1000)\n", "# find solution by the brute-force eᴬᵗ [1,10]:\n", "x = [exp(A*t)*[1,10] for t in t]\n", "plot(t, [x[1] for x in x], \"r-\")\n", "plot(t, [x[2] for x in x], \"b-\")\n", "xlabel(L\"time $t$\")\n", "ylabel(L\"solution $x(t)$\")\n", "legend([L\"1st $x$ component\", L\"2nd $x$ component\"])\n", "title(\"solution of 2 coupled ODEs\")\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At first, it looks like the solutions are decaying, but then they start to grow. If we plot it for a longer time, we can see that it eventually grows exponentially:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = range(0, 100, length=1000)\n", "# find solution by the brute-force eᴬᵗ [1,10]:\n", "x = [exp(A*t)*[1,10] for t in t]\n", "plot(t, [x[1] for x in x], \"r-\")\n", "plot(t, [x[2] for x in x], \"b-\")\n", "xlabel(L\"time $t$\")\n", "ylabel(L\"solution $x(t)$\")\n", "legend([L\"1st $x$ component\", L\"2nd $x$ component\"])\n", "title(\"solution of 2 coupled ODEs\")\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To understand this problem, we need only look at the eigenvalues and eigenvectors of $A$. \n", "\n", "Since this is $2\\times2$, we could solve for them analytically via a quadratic equation, but let's just do it numerically. (Partly because I am lazy, partly because the details of solving for the eigenvalues are unininteresting, and partly because in larger problems we will have no choice but to do it numerically anyway.)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Vector{Float64}:\n", " -0.9524937810560445\n", " 0.05249378105604463" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "λ, X = eigen(A)\n", "λ" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Matrix{Float64}:\n", " 0.0945865 0.903256\n", " 0.995517 0.429103" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two eigenvalues, $\\lambda_1 \\approx -0.95$ and $\\lambda_2 \\approx 0.05$. We can expand *any* solution in the basis of the eigenvectors $\\vec{x}_1$ and $\\vec{x}_2$ as:\n", "\n", "$$\n", "\\vec{x}(t) = c_1 e^{\\lambda_1 t} \\vec{x}_1 + c_2 e^{\\lambda_2 t} \\vec{x}_2\n", "$$\n", "\n", "where the coefficients $c_1$ and $c_2$ are typically determined by suppling an initial condition $\\vec{x}(0)$: $\\vec{c} = X^{-1} \\vec{x}(0)$.\n", "\n", "(It is easy to verify that this solves $d\\vec{x}/dt = A\\vec{x}$ just by plugging it in to the ODE.)\n", "\n", "From the eigenvalues, we can easily see that the $\\vec{x}_1$ solution is *quickly exponentially decaying* and the $\\vec{x}_2$ solution is *slowly exponentially growing*. That's why, when we plot the solution, we see a rapid exponential decay followed by a slow exponential growth.\n", "\n", "Furthermore, we can solve for the coefficients when $\\vec{x}(0) = (1,10)$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Vector{Float64}:\n", " 10.020109607340812\n", " 0.05782776958997378" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c = X \\ [1, 10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that this initial condition \"happens\" to almost entirely consist of the $\\vec{x}_1$ eigenvector, with only a small $\\vec{x}_2$ component. This means that it takes an especially long time for the $e^{\\lambda_2 t}$ exponential growth to amplify the $\\vec{x}_2$ component to the point where it becomes obvious on the plot of the solution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Key points\n", "\n", "For the easier case of purely real eigenvalues:\n", "\n", "* **Negative real λ** correspond to *exponentially decaying solutions*.\n", "* **Positive real λ** correspond to *exponentially growing solutions*.\n", "* **Zero real λ** correspond to *steady solutions* (neither decaying nor growing).\n", "\n", "Also (for any eigenvalues):\n", "\n", "* The **initial conditions** determine the coefficients of each eigenvector in the solution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# A mass and spring\n", "\n", "Let's consider the motion of a mass $m$ sliding without friction and attached to a spring:\n", "\n", "\n", "\n", "Newton's law for the position $x(t)$ gives the 2nd-order (has up to 2nd derivatives) ordinary differential equation (ODE):\n", "\n", "$$\n", "m \\frac{d^2 x}{dt^2} = -kx\n", "$$\n", "\n", "where $k$ is the spring constant. We can instead write this in terms of a *system* of first-order (1st derivatives only) ODEs by adding a variable $v = dx/dt$ (the velocity):\n", "\n", "$$\n", "\\frac{d x}{dt} = v \\\\\n", "\\frac{d v}{dt} = -\\frac{k}{m}x\n", "$$\n", "\n", "which can be written in matrix form as $d\\vec{x}/dt = Ax$:\n", "\n", "$$\n", "\\frac{d}{dt} \\underbrace{\\begin{pmatrix} x \\\\ v \\end{pmatrix}}_\\vec{x} =\n", "\\underbrace{\\begin{pmatrix} 0 & 1 \\\\ -k/m & 0 \\end{pmatrix}}_A \\vec{x}\n", "$$\n", "\n", "Let's choose $k/m = 1/100$. Then we have" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Matrix{Float64}:\n", " 0.0 1.0\n", " -0.01 0.0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = [ 0 1 \n", " -0.01 0 ]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we have an initial position $x(0)=0$ and an initial velocity $v(0)=1$, so that $\\vec{x}(0) = (0,1)$, the solutions $x(t)$ look like:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = range(0, 20π*5, length=1000)\n", "# find solution by the brute-force eᴬᵗ [0,1]:\n", "plot(t, [(exp(A*t)*[0,1])[1] for t in t], \"r-\")\n", "xlabel(L\"time $t$\")\n", "ylabel(L\"solution $x(t)$\")\n", "title(\"motion of a frictionless mass on a spring\")\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The key to understanding this behavior is to look at the eigenvalues of $A$, because each eigenvector has time dependence $e^{\\lambda t}$.\n", "\n", "$A$ has eigenvalues $\\lambda_1 = -0.1i$, $\\lambda_2 = +0.1i$, which can easily be computed by hand or via computer:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Vector{ComplexF64}:\n", " 0.0 - 0.1im\n", " 0.0 + 0.1im" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "λ, X = eigen(A)\n", "λ" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The correpsonding eigenvectors are complex as well, but come in a **complex conjugate pair** since $A$ is real:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Matrix{ComplexF64}:\n", " 0.995037-0.0im 0.995037+0.0im\n", " 0.0-0.0995037im 0.0+0.0995037im" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we expand our initial condition in this basis, we have:\n", "\n", "$$\n", "\\vec{x}(0) = \\begin{pmatrix} 0 \\\\ 1 \\end{pmatrix} = c_1 \\vec{x}_1 + c_2 \\vec{x}_2 = X \\vec{c}\n", "$$\n", "\n", "where $\\vec{c} = X^{-1} \\vec{x}(0)$ is:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Vector{ComplexF64}:\n", " 0.0 + 5.024937810560445im\n", " 0.0 - 5.024937810560444im" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c = X \\ [0, 1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the coefficients are complex conjugates as well!\n", "\n", "In fact, this *must* happen in order to get a real vector from the sum of our two complex-conjugate eigenvectors. Adding two complex conjugates cancels the imaginary parts and gives us twice the real part:\n", "\n", "$$\n", "\\vec{x}(0) = c_1 \\vec{x}_1 + \\overline{c_1 \\vec{x}_1 } = 2\\operatorname{Re}[c_1 \\vec{x}_1]\n", "$$\n", "\n", "which is real. Any coefficient $c_2 \\ne \\overline{c_1}$ would not have summed to a real vector. Let's check this formula (`real` computes the real part in Julia):" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Vector{Float64}:\n", " 0.0\n", " 1.0000000000000002" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2*real(c[1]*X[:,1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, for the eigenvectors, the matrix $A$ acts just like a scalar $\\lambda$, and the solution of the scalar ODE $dc/dt = \\lambda c$ is just $e^{\\lambda t} c(0)$.\n", "\n", "So, we just multiply each eigenvector component of $\\vec{x}(0)$ by $e^{\\lambda t}$ and sum to get the solution:\n", "\n", "\n", "$$\n", "\\vec{x}(t) = c_1 e^{\\lambda_1 t} \\vec{x}_1 + c_2 e^{\\lambda_2 t} \\vec{x}_2 = c_1 e^{\\lambda_1 t} \\vec{x}_1 + \\overline{c_1 e^{\\lambda_1 t} \\vec{x}_1 } = 2\\operatorname{Re}\\left[c_1 e^{\\lambda_1 t} \\vec{x}_1\\right]\n", "$$\n", "\n", "where we have used the fact that the eigenvalues are complex conjugates.\n", "\n", "Now, let's try to write this in some more comprehensible form. The position $x(t)$ is just the first component of this result, i.e. it is some value of the form:\n", "\n", "$$\n", "x(t) = \\operatorname{Re} \\left[ \\xi e^{\\lambda_1 t} \\right]\n", "$$\n", "\n", "where $\\xi = 2c_1 (1,0)^T x_1$ is the first component of the coefficient vector. If we write $\\xi = r e^{i\\phi}$ in polar form, this simplifies even more:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0 + 10.000000000000002im" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ξ = 2 * c[1] * X[1,1]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(10.000000000000002, 0.5)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# polar form of α:\n", "r = abs(ξ)\n", "ϕ = angle(ξ)\n", "r, ϕ/π" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In terms of this, we have:\n", "\n", "$$\n", "x(t) = \\operatorname{Re} \\left[ r e^{i(-0.1t + \\phi)} \\right] = r \\cos(-0.1t + \\phi)\n", "$$\n", "\n", "using Euler's identity $e^{i\\theta} = \\cos \\theta + i \\sin \\theta$. Let's check this by plotting it along with the numerical solution:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t = range(0, 20π*5, length=1000)\n", "# find solution by the brute-force eᴬᵗ [0,1]:\n", "plot(t, [(exp(A*t)*[0,1])[1] for t in t], \"r-\")\n", "plot(t, [r*cos(-0.1*t + ϕ) for t in t], \"k--\")\n", "xlabel(L\"time $t$\")\n", "ylabel(L\"solution $x(t)$\")\n", "title(\"motion of a frictionless mass on a spring\")\n", "grid()\n", "legend([\"numerical\", \"analytical\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yup, they fall right on top of one another!\n", "\n", "### Key points:\n", "\n", "* **A purely imaginary λ corresponds to an *oscillating* ODE solution**, and $\\omega = \\operatorname{Im} \\lambda$ is the **angular frequency**.\n", "\n", "* The amplitude and phase of the oscillations are determined by the **initial conditions**.\n", "\n", "* For **real A**, the eigensolutions come in **complex-conjugate pairs**, so that **real initial conditions lead to real solutions**.\n", "\n", "Given an angular frequency $\\omega$, corresponding to time dependence $e^{i\\omega t}$ or $\\cos(\\omega t + \\phi)$, the **period** of the oscillation (the time to repeat) is $2\\pi /\\omega$:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "62.83185307179586" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2π/0.1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, it repeats every 62 time units, which matches the graph above." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Mass and spring with damping\n", "\n", "We can also add some *damping* or *friction* to the problem. For example, a [simple model of air resistance](https://en.wikipedia.org/wiki/Stokes%27_law) is a drag force that is *proportional to velocity* and *opposite in sign*.\n", "\n", "This changes our equations to:\n", "\n", "$$\n", "\\frac{d x}{dt} = v \\\\\n", "\\frac{d v}{dt} = -\\frac{k}{m}x - \\beta v\n", "$$\n", "\n", "where $\\beta$ is the drag coefficient, which can again be written in matrix form as $d\\vec{x}/dt = Bx$:\n", "\n", "$$\n", "\\frac{d}{dt} \\underbrace{\\begin{pmatrix} x \\\\ v \\end{pmatrix}}_\\vec{x} =\n", "\\underbrace{\\begin{pmatrix} 0 & 1 \\\\ -k/m & -\\beta \\end{pmatrix}}_B \\vec{x}\n", "$$\n", "\n", "Let's try it out for a drag coefficent $\\beta = 0.02$:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Matrix{Float64}:\n", " 0.0 1.0\n", " -0.01 -0.02" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "B = [ 0 1 \n", " -0.01 -0.02 ]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = range(0, 20π*5, length=1000)\n", "# find solution by the brute-force eᴬᵗ [0,1]:\n", "plot(t, [(exp(B*t)*[0,1])[1] for t in t], \"r-\")\n", "xlabel(L\"time $t$\")\n", "ylabel(L\"solution $x(t)$\")\n", "title(\"motion of a mass on a spring + drag\")\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you might expect, adding drag causes the mass to slow down more and more.\n", "\n", "How is this reflected in the eigenvalues?" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Vector{ComplexF64}:\n", " -0.010000000000000002 - 0.099498743710662im\n", " -0.010000000000000002 + 0.099498743710662im" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eigvals(B)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The eigenvalues are $\\approx -0.01 \\pm 0.0994987i$.\n", "\n", "Again, for this $2\\times2$ matrix problem we could easily calculate the eigenvalues analytically. (In 18.03 you do this over and over again.) Skipping the simple algebra (just a quadratic equation), they are:\n", "\n", "$$\n", "-\\frac{\\beta}{2} \\pm i \\sqrt{\\underbrace{k/m}_{0.01} - \\left(\\frac{\\beta}{2}\\right)^2} = -\\alpha \\pm i\\omega\n", "$$\n", "\n", "where I've defined $\\alpha = -\\operatorname{Re} \\lambda$ and $\\omega = |\\operatorname{Im} \\lambda|$." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.099498743710662" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sqrt(0.01 - (0.02/2)^2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What will this do to the solutions?\n", "\n", "Well, the basic solution process will be the same. We will still get a solution of the form:\n", "\n", "$$\n", "\\vec{x}(t) = 2\\operatorname{Re}\\left[c_1 e^{\\lambda_1 t} \\vec{x}_1\\right]\n", "$$\n", "\n", "where $\\vec{x}_1$ is the first eigenvector of $B$ and $c_1$ is an expansion coefficient for the initial condition.\n", "\n", "But now we have $\\lambda_1 = -\\alpha - i\\omega$ and, similar to before, we get:\n", "\n", "$$\n", "x(t) =\\operatorname{Re} \\left[r e^{-\\alpha t - i\\omega t + i\\phi} \\right]\n", "= r e^{-\\alpha t} \\cos(-\\omega t + \\phi)\n", "$$\n", "\n", "So, $\\alpha = -\\operatorname{Re} \\lambda$ is an **exponential decay** rate and $\\omega = |\\operatorname{Im} \\lambda|$ is still a frequency (with a value slightly changed from the frictionless case). It is nice to plot this $e^{-\\alpha t}$ factor on top of our solution:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = range(0, 20π*5, length=1000)\n", "# find solution by the brute-force eᴬᵗ [0,1]:\n", "plot(t, [(exp(B*t)*[0,1])[1] for t in t], \"r-\")\n", "plot(t, 10*exp.(-0.01 * t), \"k--\")\n", "xlabel(L\"time $t$\")\n", "ylabel(L\"solution $x(t)$\")\n", "title(\"motion of a mass on a spring + drag\")\n", "legend([\"solution \\$x(t)\\$\", \"exponential decay \\$e^{-\\\\alpha t}\\$\"])\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Key points:\n", "\n", "* For complex λ, **Re(λ) is an exponential growth rate (> 0) or decay rate (< 0)**.\n", "\n", "* **Im(λ) is an angular frequency**\n", "\n", "* If **all λ have Re(λ) < 0**, the solution decays to zero.\n", "\n", "* If **any λ have Re(λ) > 0**, the solution blows up (for most initial conditions).\n", "\n", "* A **λ = 0 solution corresponds to a *steady state***. If only the real part is zero, it is a solution that oscillates forever without growing or decaying." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overdamping:\n", "\n", "From the formula above for the eigenvalues of the damped-spring system:\n", "\n", "$$\n", "-\\frac{\\beta}{2} \\pm i \\sqrt{\\underbrace{k/m}_{0.01} - \\left(\\frac{\\beta}{2}\\right)^2}\n", "$$\n", "\n", "you might notice something: if $\\beta$ gets large enough, then the eigenvalues become *purely real* and negative. In particular, if $(\\beta/2)^2 > 0.01$, or equivalently if $\\beta > 0.2$, then the eigenvalues are\n", "\n", "$$\n", "-\\frac{\\beta}{2} \\pm \\sqrt{\\left(\\frac{\\beta}{2}\\right)^2 - \\underbrace{k/m}_{0.01}}\n", "$$\n", "\n", "which are real and negative. The solutions don't oscillate at all, they just decay! This is called **overdamping**. Let's check this for $\\beta = 0.3$:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Vector{Float64}:\n", " -0.2618033988749895\n", " -0.0381966011250105" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eigvals([ 0 1 \n", " -0.01 -0.3 ])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yup, two negative eigenvalues, as predicted. It is interesting to plot the solutions for different values of $d$ to compare them:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "βs = [0.02, 0.05, 0.1, 0.2, 0.3, 0.4]\n", "t = range(0, 20π*5, length=1000)\n", "for β in βs\n", " Bd = [ 0 1 \n", " -0.01 -β ]\n", " plot(t, [(exp(Bd*t)*[0,1])[1] for t in t], \"-\")\n", "end\n", "xlabel(L\"time $t$\")\n", "ylabel(L\"solution $x(t)$\")\n", "title(\"mass on a spring for different drags\")\n", "legend([\"\\$\\\\beta=$β\\$\" for β in βs])\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's even more fun to use a slider control for $\\beta$:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "application/vnd.webio.node+json": { "children": [], "instanceArgs": { "namespace": "html", "tag": "div" }, "nodeType": "DOM", "props": {}, "type": "node" }, "text/html": [ "
\n", "

The WebIO Jupyter extension was not detected. See the\n", "\n", " WebIO Jupyter integration documentation\n", "\n", "for more information.\n", "

\n" ], "text/plain": [ "WebIO._IJuliaInit()" ] }, "metadata": { "application/vnd.webio.node+json": { "kernelId": "e6bd3247-5db8-4ea5-b626-96ff539aa9c2" } }, "output_type": "display_data" }, { "data": { "application/vnd.webio.node+json": { "children": [ { "children": [ { "children": [ { "children": [ { "children": [ { "children": [ "β" ], "instanceArgs": { "namespace": "html", "tag": "label" }, "nodeType": "DOM", "props": { "className": "interact ", "style": { "padding": "5px 10px 0px 10px" } }, "type": "node" } ], "instanceArgs": { "namespace": "html", "tag": "div" }, "nodeType": "DOM", "props": { "className": "interact-flex-row-left" }, "type": "node" }, { "children": [ { "children": [], "instanceArgs": { "namespace": "html", "tag": "input" }, "nodeType": "DOM", "props": { "attributes": { "data-bind": "numericValue: index, valueUpdate: 'input', event: {change: function (){this.changes(this.changes()+1)}}", "orient": "horizontal", "type": "range" }, "className": "slider slider is-fullwidth", "max": 31, "min": 1, "step": 1, "style": {} }, "type": "node" } ], "instanceArgs": { "namespace": "html", "tag": "div" }, "nodeType": "DOM", "props": { "className": "interact-flex-row-center" }, "type": "node" }, { "children": [ { "children": [], "instanceArgs": { "namespace": "html", "tag": "p" }, "nodeType": "DOM", "props": { "attributes": { "data-bind": "text: formatted_val" } }, "type": "node" } ], "instanceArgs": { "namespace": "html", "tag": "div" }, "nodeType": "DOM", "props": { "className": "interact-flex-row-right" }, "type": "node" } ], "instanceArgs": { "namespace": "html", "tag": "div" }, "nodeType": "DOM", "props": { "className": "interact-flex-row interact-widget" }, "type": "node" } ], "instanceArgs": { "handlers": { "changes": [ "(function (val){return (val!=this.model[\"changes\"]()) ? (this.valueFromJulia[\"changes\"]=true, this.model[\"changes\"](val)) : undefined})" ], "index": [ "(function (val){return (val!=this.model[\"index\"]()) ? (this.valueFromJulia[\"index\"]=true, this.model[\"index\"](val)) : undefined})" ] }, "id": "12516790623686087753", "imports": { "data": [ { "name": "knockout", "type": "js", "url": "/assetserver/2df50fa7f121fedbb109a97bba894e56aef8c852-knockout.js" }, { "name": "knockout_punches", "type": "js", "url": "/assetserver/bb2c111220e03062c2973eb306d97c8fc96857d6-knockout_punches.js" }, { "name": null, "type": "js", "url": "/assetserver/dc651e248070c73d6a4eaa2766193d4a09a13f05-all.js" }, { "name": null, "type": "css", "url": "/assetserver/0318b018d0ff756043bf1ee25f56ab5c74ef7889-style.css" }, { "name": null, "type": "css", "url": "/assetserver/f798281fed8908611ae453136bda5c1a2e6bffd7-bulma_confined.min.css" } ], "type": "async_block" }, "mount_callbacks": [ "function () {\n var handler = (function (ko, koPunches) {\n ko.punches.enableAll();\n ko.bindingHandlers.numericValue = {\n init: function(element, valueAccessor, allBindings, data, context) {\n var stringified = ko.observable(ko.unwrap(valueAccessor()));\n stringified.subscribe(function(value) {\n var val = parseFloat(value);\n if (!isNaN(val)) {\n valueAccessor()(val);\n }\n });\n valueAccessor().subscribe(function(value) {\n var str = JSON.stringify(value);\n if ((str == \"0\") && ([\"-0\", \"-0.\"].indexOf(stringified()) >= 0))\n return;\n if ([\"null\", \"\"].indexOf(str) >= 0)\n return;\n stringified(str);\n });\n ko.applyBindingsToNode(\n element,\n {\n value: stringified,\n valueUpdate: allBindings.get('valueUpdate'),\n },\n context,\n );\n }\n };\n var json_data = {\"formatted_vals\":[\"0.0\",\"0.01\",\"0.02\",\"0.03\",\"0.04\",\"0.05\",\"0.06\",\"0.07\",\"0.08\",\"0.09\",\"0.1\",\"0.11\",\"0.12\",\"0.13\",\"0.14\",\"0.15\",\"0.16\",\"0.17\",\"0.18\",\"0.19\",\"0.2\",\"0.21\",\"0.22\",\"0.23\",\"0.24\",\"0.25\",\"0.26\",\"0.27\",\"0.28\",\"0.29\",\"0.3\"],\"changes\":WebIO.getval({\"name\":\"changes\",\"scope\":\"12516790623686087753\",\"id\":\"5478518166941226586\",\"type\":\"observable\"}),\"index\":WebIO.getval({\"name\":\"index\",\"scope\":\"12516790623686087753\",\"id\":\"4377263344726521632\",\"type\":\"observable\"})};\n var self = this;\n function AppViewModel() {\n for (var key in json_data) {\n var el = json_data[key];\n this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\n }\n \n [this[\"formatted_val\"]=ko.computed( function(){\n return this.formatted_vals()[parseInt(this.index())-(1)];\n }\n,this)]\n [this[\"changes\"].subscribe((function (val){!(this.valueFromJulia[\"changes\"]) ? (WebIO.setval({\"name\":\"changes\",\"scope\":\"12516790623686087753\",\"id\":\"5478518166941226586\",\"type\":\"observable\"},val)) : undefined; return this.valueFromJulia[\"changes\"]=false}),self),this[\"index\"].subscribe((function (val){!(this.valueFromJulia[\"index\"]) ? (WebIO.setval({\"name\":\"index\",\"scope\":\"12516790623686087753\",\"id\":\"4377263344726521632\",\"type\":\"observable\"},val)) : undefined; return this.valueFromJulia[\"index\"]=false}),self)]\n \n }\n self.model = new AppViewModel();\n self.valueFromJulia = {};\n for (var key in json_data) {\n self.valueFromJulia[key] = false;\n }\n ko.applyBindings(self.model, self.dom);\n}\n);\n (WebIO.importBlock({\"data\":[{\"name\":\"knockout\",\"type\":\"js\",\"url\":\"/assetserver/2df50fa7f121fedbb109a97bba894e56aef8c852-knockout.js\"},{\"name\":\"knockout_punches\",\"type\":\"js\",\"url\":\"/assetserver/bb2c111220e03062c2973eb306d97c8fc96857d6-knockout_punches.js\"}],\"type\":\"async_block\"})).then((imports) => handler.apply(this, imports));\n}\n" ], "observables": { "changes": { "id": "5478518166941226586", "sync": false, "value": 0 }, "index": { "id": "4377263344726521632", "sync": true, "value": 16 } }, "systemjs_options": null }, "nodeType": "Scope", "props": {}, "type": "node" } ], "instanceArgs": { "namespace": "html", "tag": "div" }, "nodeType": "DOM", "props": { "className": "field interact-widget" }, "type": "node" }, { "children": [ { "children": [], "instanceArgs": { "id": "4867369192601914552", "name": "obs-node" }, "nodeType": "ObservableNode", "props": {}, "type": "node" } ], "instanceArgs": { "handlers": {}, "id": "4952140006036811342", "imports": { "data": [], "type": "async_block" }, "mount_callbacks": [], "observables": { "obs-node": { "id": "4867369192601914552", "sync": false, "value": { "children": [ { "children": [], "instanceArgs": { "namespace": "html", "tag": "div" }, "nodeType": "DOM", "props": { "setInnerHtml": "" }, "type": "node" } ], "instanceArgs": { "namespace": "html", "tag": "div" }, "nodeType": "DOM", "props": { "className": "interact-flex-row interact-widget" }, "type": "node" } } }, "systemjs_options": null }, "nodeType": "Scope", "props": {}, "type": "node" } ], "instanceArgs": { "namespace": "html", "tag": "div" }, "nodeType": "DOM", "props": {}, "type": "node" }, "text/html": [ "\n", " \n", "\n" ], "text/plain": [ "Node{WebIO.DOM}(WebIO.DOM(:html, :div), Any[Node{WebIO.DOM}(WebIO.DOM(:html, :div), Any[Scope(Node{WebIO.DOM}(WebIO.DOM(:html, :div), Any[Node{WebIO.DOM}(WebIO.DOM(:html, :div), Any[Node{WebIO.DOM}(WebIO.DOM(:html, :label), Any[\"β\"], Dict{Symbol, Any}(:className => \"interact \", :style => Dict{Any, Any}(:padding => \"5px 10px 0px 10px\")))], Dict{Symbol, Any}(:className => \"interact-flex-row-left\")), Node{WebIO.DOM}(WebIO.DOM(:html, :div), Any[Node{WebIO.DOM}(WebIO.DOM(:html, :input), Any[], Dict{Symbol, Any}(:max => 31, :min => 1, :attributes => Dict{Any, Any}(:type => \"range\", Symbol(\"data-bind\") => \"numericValue: index, valueUpdate: 'input', event: {change: function (){this.changes(this.changes()+1)}}\", \"orient\" => \"horizontal\"), :step => 1, :className => \"slider slider is-fullwidth\", :style => Dict{Any, Any}()))], Dict{Symbol, Any}(:className => \"interact-flex-row-center\")), Node{WebIO.DOM}(WebIO.DOM(:html, :div), Any[Node{WebIO.DOM}(WebIO.DOM(:html, :p), Any[], Dict{Symbol, Any}(:attributes => Dict(\"data-bind\" => \"text: formatted_val\")))], Dict{Symbol, Any}(:className => \"interact-flex-row-right\"))], Dict{Symbol, Any}(:className => \"interact-flex-row interact-widget\")), Dict{String, Tuple{AbstractObservable, Union{Nothing, Bool}}}(\"changes\" => (Observable(0), nothing), \"index\" => (Observable{Any}(16), nothing)), Set{String}(), nothing, Asset[Asset(\"js\", \"knockout\", \"/Users/stevenj/.julia/packages/Knockout/HReiN/src/../assets/knockout.js\"), Asset(\"js\", \"knockout_punches\", \"/Users/stevenj/.julia/packages/Knockout/HReiN/src/../assets/knockout_punches.js\"), Asset(\"js\", nothing, \"/Users/stevenj/.julia/packages/InteractBase/Qhvxg/src/../assets/all.js\"), Asset(\"css\", nothing, \"/Users/stevenj/.julia/packages/InteractBase/Qhvxg/src/../assets/style.css\"), Asset(\"css\", nothing, \"/Users/stevenj/.julia/packages/Interact/PENUy/src/../assets/bulma_confined.min.css\")], Dict{Any, Any}(\"changes\" => Any[WebIO.JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")], \"index\" => Any[WebIO.JSString(\"(function (val){return (val!=this.model[\\\"index\\\"]()) ? (this.valueFromJulia[\\\"index\\\"]=true, this.model[\\\"index\\\"](val)) : undefined})\")]), WebIO.ConnectionPool(Channel{Any}(32), Set{AbstractConnection}(), Condition(Base.InvasiveLinkedList{Task}(Task (runnable) @0x0000000130ec1880, Task (runnable) @0x0000000130ec1880), Base.AlwaysLockedST(1))), WebIO.JSString[WebIO.JSString(\"function () {\\n var handler = (function (ko, koPunches) {\\n ko.punches.enableAll();\\n ko.bindingHandlers.numericValue = {\\n init: function(element, valueAccessor, allBindings, data, context) {\\n var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n stringified.subscribe(function(value) {\\n var val = parseFloat(value);\\n if (!isNaN(val)) {\\n valueAccessor()(val);\\n }\\n });\\n valueAccessor().subscribe(function(value) {\\n var str = JSON.stringify(value);\\n if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n return;\\n if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n return;\\n stringified(str);\\n });\\n ko.applyBindingsToNode(\\n element,\\n {\\n value: stringified,\\n valueUpdate: allBindings.get('valueUpdate'),\\n },\\n context,\\n );\\n }\\n };\\n var json_data = {\\\"formatted_vals\\\":[\\\"0.0\\\",\\\"0.01\\\",\\\"0.02\\\",\\\"0.03\\\",\\\"0.04\\\",\\\"0.05\\\",\\\"0.06\\\",\\\"0.07\\\",\\\"0.08\\\",\\\"0.09\\\",\\\"0.1\\\",\\\"0.11\\\",\\\"0.12\\\",\\\"0.13\\\",\\\"0.14\\\",\\\"0.15\\\",\\\"0.16\\\",\\\"0.17\\\",\\\"0.18\\\",\\\"0.19\\\",\\\"0.2\\\",\\\"0.21\\\",\\\"0.22\\\",\\\"0.23\\\",\\\"0.24\\\",\\\"0.25\\\",\\\"0.26\\\",\\\"0.27\\\",\\\"0.28\\\",\\\"0.29\\\",\\\"0.3\\\"],\\\"changes\\\":WebIO.getval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"12516790623686087753\\\",\\\"id\\\":\\\"5478518166941226586\\\",\\\"type\\\":\\\"observable\\\"}),\\\"index\\\":WebIO.getval({\\\"name\\\":\\\"index\\\",\\\"scope\\\":\\\"12516790623686087753\\\",\\\"id\\\":\\\"4377263344726521632\\\",\\\"type\\\":\\\"observable\\\"})};\\n var self = this;\\n function AppViewModel() {\\n for (var key in json_data) {\\n var el = json_data[key];\\n this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n }\\n \\n [this[\\\"formatted_val\\\"]=ko.computed( function(){\\n return this.formatted_vals()[parseInt(this.index())-(1)];\\n }\\n,this)]\\n [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"12516790623686087753\\\",\\\"id\\\":\\\"5478518166941226586\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"index\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"index\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"index\\\",\\\"scope\\\":\\\"12516790623686087753\\\",\\\"id\\\":\\\"4377263344726521632\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"index\\\"]=false}),self)]\\n \\n }\\n self.model = new AppViewModel();\\n self.valueFromJulia = {};\\n for (var key in json_data) {\\n self.valueFromJulia[key] = false;\\n }\\n ko.applyBindings(self.model, self.dom);\\n}\\n);\\n (WebIO.importBlock({\\\"data\\\":[{\\\"name\\\":\\\"knockout\\\",\\\"type\\\":\\\"js\\\",\\\"url\\\":\\\"/assetserver/2df50fa7f121fedbb109a97bba894e56aef8c852-knockout.js\\\"},{\\\"name\\\":\\\"knockout_punches\\\",\\\"type\\\":\\\"js\\\",\\\"url\\\":\\\"/assetserver/bb2c111220e03062c2973eb306d97c8fc96857d6-knockout_punches.js\\\"}],\\\"type\\\":\\\"async_block\\\"})).then((imports) => handler.apply(this, imports));\\n}\\n\")])], Dict{Symbol, Any}(:className => \"field interact-widget\")), Observable(Node{WebIO.DOM}(WebIO.DOM(:html, :div), Any[Figure(PyObject
)], Dict{Symbol, Any}(:className => \"interact-flex-row interact-widget\")))], Dict{Symbol, Any}())" ] }, "execution_count": 25, "metadata": { "application/vnd.webio.node+json": { "kernelId": "e6bd3247-5db8-4ea5-b626-96ff539aa9c2" } }, "output_type": "execute_result" } ], "source": [ "using Interact\n", "t = range(0, 20π*5, length=1000)\n", "fig = figure()\n", "@manipulate for β in 0.0:0.01:0.3\n", " Bd = [ 0 1 \n", " -0.01 -β ]\n", " withfig(fig) do\n", " c = β < 0.1999 ? \"blue\" : β > 0.2001 ? \"red\" : \"black\"\n", " plot(t, [(exp(Bd*t)*[0,1])[1] for t in t], \"-\", color=c)\n", " xlabel(L\"time $t$\")\n", " ylabel(L\"solution $x(t)$\")\n", " T = c == \"blue\" ? \"underdamped\" : c == \"red\" ? \"overdamped\" : \"critically damped\"\n", " title(\"$T mass on a spring for drag \\$\\\\beta=$β\\$\")\n", " ylim(-4,8)\n", " grid()\n", " end\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The case of $\\beta=0.2$, where the discriminant $\\sqrt{\\cdots} = 0$ and the two eigenvalues are *equal*, is called [critically damped](https://en.wikipedia.org/wiki/Harmonic_oscillator). This is a bit of an odd case because the matrix becomes *defective* (non-diagonalizable): there is only a single eigenvector.\n", "\n", "We will analyze such defective cases later in 18.06. They are not our primary concern, though, because they are kind of a weird limiting case that doesn't show up most of the time." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Two coupled masses on springs\n", "\n", "When we are solving things by hand, it is hard to go beyond $2\\times 2$ matrices, but on the computer we have no such limitations. **Practical engineering problems are solved every day involving millions of coupled differential equations**.\n", "\n", "Let's try upgrading to *two* coupled masses on springs:\n", "\n", "\n", "\n", "Now, our equations look like:\n", "\n", "$$\n", "\\frac{d x_1}{dt} = v_1 \\\\\n", "\\frac{d x_2}{dt} = v_2 \\\\\n", "\\frac{d v_1}{dt} = -\\frac{k_1}{m_1}x_1 -\\frac{k_2}{m_1}(x_1 - x_2) \\\\\n", "\\frac{d v_2}{dt} = -\\frac{k_3}{m_2}x_2 +\\frac{k_2}{m_2}(x_1 - x_2) \n", "$$\n", "\n", "where the spring $k_2$ connecting the two masses exerts a force $\\pm k_2 (x_1 - x_2)$, with the two masses feeling an equal and opposite force from that spring.\n", "\n", "This can be written in matrix form as $d\\vec{x}/dt = Cx$:\n", "\n", "$$\n", "\\frac{d}{dt} \\underbrace{\\begin{pmatrix} x_1 \\\\ x_2 \\\\ v_1 \\\\ v_2 \\end{pmatrix}}_\\vec{x} =\n", "\\underbrace{\\begin{pmatrix} \n", "0 & 0 & 1 & 0 \\\\ \n", "0 & 0 & 0 & 1 \\\\ \n", "-(k_1+k_2)/m_1 & k_2/m_1 & 0 & 0 \\\\\n", "k_2/m_2 & -(k_3+k_2)/m_2 & 0 & 0\n", "\\end{pmatrix}}_C \\vec{x}\n", "$$\n", "\n", "Let's set $m_1 = m_2 = m$ and $k_1/m = k_2/m = k_3/m = 0.01$ for simplicity." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4×4 Matrix{Float64}:\n", " 0.0 0.0 1.0 0.0\n", " 0.0 0.0 0.0 1.0\n", " -0.02 0.01 0.0 0.0\n", " 0.01 -0.02 0.0 0.0" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "C = [ 0 0 1 0\n", " 0 0 0 1\n", " -0.02 0.01 0 0\n", " 0.01 -0.02 0 0 ]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, let's just try plotting the solutions $x_1(t)$ and $x_2(t)$ computed by \"brute force\" first, assuming an initial condition $\\vec{x}(0) = (0,0,1,0)$ where we start $x_1$ moving from rest:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = range(0, 20π*5, length=1000)\n", "# find solution by the brute-force eᴬᵗ [0,1]:\n", "x = [(exp(C*t)*[0,0,1,0]) for t in t]\n", "plot(t, [x[1] for x in x], \"r-\")\n", "plot(t, [x[2]+20 for x in x], \"b-\")\n", "xlabel(L\"time $t$\")\n", "ylabel(L\"solutions $x(t)$\")\n", "title(\"motion of 2 masses on springs\")\n", "legend([L\"first mass $x$\", L\"second mass $x+20$\"])\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, this looks a bit more complicated. But the eigenvalues should clarify the situation for us:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4-element Vector{ComplexF64}:\n", " -1.179497126567529e-17 - 0.09999999999999999im\n", " -1.179497126567529e-17 + 0.09999999999999999im\n", " 2.2285048252097095e-18 - 0.17320508075688779im\n", " 2.2285048252097095e-18 + 0.17320508075688779im" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eigvals(C)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are four **purely imaginary** (=oscillating!) eigenvalues, coming in two complex-conjugate pairs. So, there are only **two frequencies** in this problem: $\\omega_1 = 0.1$ and $\\omega_2 = 0.1\\sqrt{2} \\approx 0.173205$.\n", "\n", "It is possible to get *only one of these solutions at a time* if we *choose our initial conditions to excite only one eigenvector* (or one complex-conjugate pair).\n", "\n", "In particular, for a given eigenvector $\\vec{x}_k$, there is a solution $\\vec{x}(t) = e^{\\lambda_k t} \\vec{x}_k$ with initial condition $\\vec{x}(0) = \\vec{x}_k$.\n", "\n", "Or, we could get a real solution from an eigenvector by adding the complex-conjugate solution (which is also an eigenvector since the matrix is real), corresponding to a solution:\n", "\n", "$$\n", "\\vec{x}(t) = \\operatorname{Re} \\left[ c e^{\\lambda_k t} \\vec{x}_k \\right]\n", "$$\n", "\n", "with an initial condition $\\vec{x}(0) = \\operatorname{Re} \\left[ c \\vec{x}_k \\right]$, where $c$ is an arbitrary complex number that determines the amplitude and phase of the oscillation.\n", "\n", "For an oscillating system, these are often called the [normal modes](https://en.wikipedia.org/wiki/Normal_mode) of oscillation. Let's plot these two \"eigensolutions\" for our 2-mass problem:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "λ, X = eigen(C)\n", "t = range(0, 20π*5, length=1000)\n", "# initial condition from the real part of the first eigenvector:\n", "x = [(exp(C*t)*X[:,1]) for t in t]\n", "plot(t, [real(x[1]) for x in x], \"r-\")\n", "plot(t, [real(x[2])+2 for x in x], \"b-\")\n", "xlabel(L\"time $t$\")\n", "ylabel(L\"solutions $x(t)$\")\n", "title(\"first normal mode \\$\\\\omega_1 = 0.1\\$\")\n", "legend([L\"first mass $x$\", L\"second mass $x+2$\"])\n", "grid()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# initial condition from the real part of the eigenvector:\n", "x = [(exp(C*t)*X[:,3]) for t in t]\n", "plot(t, [real(x[1]) for x in x], \"r-\")\n", "plot(t, [real(x[2])+2 for x in x], \"b-\")\n", "xlabel(L\"time $t$\")\n", "ylabel(L\"solutions $x(t)$\")\n", "title(\"second normal mode \\$\\\\omega_2 = $(imag(λ[1])) = 0.1\\\\sqrt{2}\\$\")\n", "legend([L\"first mass $x$\", L\"second mass $x+2$\"])\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you look carefully at the plots, you will see a simple pattern:\n", "\n", "* The *lower-frequency* solution is when the masses are *moving in the same direction*.\n", "* The *higher-frequency* solution is when the masses are *moving in opposite directions*.\n", "\n", "There are lots of interesting phenomena to think about in coupled mass-spring systems, but let's leave most of the physics to 8.03." ] }, { "attachments": { "image.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "# Hints of things to come: Eigenvalues and matrix structure\n", "\n", "From basic physical intuition, these coupled mass/spring systems *must* have purely imaginary eigenvalues if there is no damping/drag/friction! In a physics class, we would say that \"energy is conserved\": the oscillations cannot increase ($\\operatorname{Re}\\lambda>0$) or decrease ($\\operatorname{Re}\\lambda<0$) because there is no place else for the energy to go.\n", "\n", "And if there is drag, then the eigenvalues *must* have negative real parts: the oscillations must be *losing* energy, not gaining it.\n", "\n", "But these physical laws must arise *algebraically* somehow! There must be something in the *structure* of the matrices (the *pattern* of their entries) that guarantees it for any positive values of $k$, $m$, or $d$. This turns out to be an extremely important topic in linear algebra: deriving *general* facts about the eigenvalues of matrices from their structure (even though the specific values of the eigenvalues must be found by a computer).\n", "\n", "We've already seen this for Markov matrices: the fact that their columns summed to one guaranted a $\\lambda=1$ eigenvalue and other $|\\lambda|\\le 1$ ($<1$ for positive entries).\n", "In the case of masses and springs, the physical properties of the normal modes turn out to be closely related to [real-symmetric matrices](https://en.wikipedia.org/wiki/Symmetric_matrix) $A=A^T$, which we will soon see have very special eigen-properties.\n", "\n", "Understanding this structure will allow us to analyze arbitrarily complicated networks of balls and springs as well as [many other wave/oscillation equations](https://math.mit.edu/~stevenj/18.369/wave-equations.pdf).\n", "\n", "Here is an illustration of a network of balls and springs by Prof. Johnson's daughter Ariella (age 11, 6 April 2022), who asked to contribute some artwork to his class:\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# A Note On Numerical Solution of ODEs\n", "\n", "Matrices and eigenvalues are a great way to understand linear ODEs. They can even be used to study *nonlinear* ODEs via, for example, [linear stability analysis](https://en.wikipedia.org/wiki/Linear_stability).\n", "\n", "However, if you want to get a *numerical* answer from an ODE, there is a completely different set of [techniques for numerically integrating ODEs](https://en.wikipedia.org/wiki/Numerical_methods_for_ordinary_differential_equations) that I should mention. Such techniques have the advantage of being *extremely general*: they can handle time-varying and nonlinear problems with no difficulty, for example. (Interestingly enough, linear algebra also plays an important role in analyzing these methods.) An extremely powerful Julia package of numerical ODE methods is [DifferentialEquations.jl](https://github.com/JuliaDiffEq/DifferentialEquations.jl), but there are also nice packages in other languages." ] } ], "metadata": { "@webio": { "lastCommId": "3e0a2497b908493f880708f85c6429d1", "lastKernelId": "e6bd3247-5db8-4ea5-b626-96ff539aa9c2" }, "kernelspec": { "display_name": "Julia 1.8.0", "language": "julia", "name": "julia-1.8" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.8.3" }, "widgets": { "state": { "b184d86c-9a1f-48ba-b955-0188b6a60745": { "views": [ { "cell_index": 49 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 2 }