{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In Lecture 31 of MCS 320, we study differential equations, using the pendulum problem as the running example." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. The Pendulum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A first model of the pendulum is a second order equation\n", "\n", "$$\n", " L \\frac{d^2}{d~\\!t} \\theta(t) = -g \\theta(t),\n", "$$\n", "\n", "where $L$ is the length of the string and $g$ the gravitational constant,\n", "\n", "subject to initial conditions\n", "\n", "$$\n", " \\theta(0) = \\pi/10, \\theta'(0) = 0.\n", "$$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "t = var('t')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "theta = function('theta')(t)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "g, L = var('g, L', domain='positive')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have to assume that both ``g`` and ``L`` are positive, otherwise the symbolic solver will not work." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle L \\frac{\\partial^{2}}{(\\partial t)^{2}}\\theta\\left(t\\right) = -g \\theta\\left(t\\right)\\)" ], "text/latex": [ "$\\displaystyle L \\frac{\\partial^{2}}{(\\partial t)^{2}}\\theta\\left(t\\right) = -g \\theta\\left(t\\right)$" ], "text/plain": [ "L*diff(theta(t), t, t) == -g*theta(t)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ode = L*diff(theta, t, 2) == - g*theta\n", "show(ode)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "_K2*cos(sqrt(g)*t/sqrt(L)) + _K1*sin(sqrt(g)*t/sqrt(L))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sol = desolve(ode, theta, ivar=t)\n", "sol" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As this is a second order equation, we have two families of solutions, with parameters ``_K1`` and ``_K2``. When we specify the two initial conditions, we obtain a unique solution." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1/10*pi*cos(sqrt(g)*t/sqrt(L))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sol = desolve(ode, theta, ivar=t, ics=[0, pi/10, 0])\n", "sol" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us look at a particular instance for the symbolic parameters." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1/10*pi*cos(1/3*sqrt(10)*sqrt(3)*t)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ft = sol(g=10, L=3)\n", "ft" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(ft, (t, 0, 2*pi))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observe that the 0.3 corresponds to the $\\pi/10$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.309016994374947" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sin(RR(pi)/10)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.314159265358979" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "RR(pi)/10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. Solving with Laplace transforms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The short, direct way to solve this problem with Laplace transforms is as follows:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(L^2*sin(sqrt(L*g)*t/L)*D[0](theta)(0)/sqrt(L*g) + L*cos(sqrt(L*g)*t/L)*theta(0))/L" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sol = desolve_laplace(ode, theta, ivar=t)\n", "sol" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{theta(0): 1/10*pi, D[0](theta)(0): 0}" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "init = {theta(t=0): pi/10, diff(theta,t).subs({t:0}): 0}\n", "init" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1/10*pi*cos(sqrt(L*g)*t/L)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sol.subs(init)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is instructive to look at the long way to use Laplace transforms." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(s^2*laplace(theta(t), t, s) - s*theta(0) - D[0](theta)(0))*L == -g*laplace(theta(t), t, s)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s = var('s')\n", "Lode = ode.laplace('t', 's')\n", "Lode" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(T*s^2 - s*theta(0) - D[0](theta)(0))*L == -T*g" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "T = var('T')\n", "Teq = Lode.subs({laplace(theta,t,s): T})\n", "Teq" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[T == (L*s*theta(0) + L*D[0](theta)(0))/(L*s^2 + g)]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sol = solve(Teq, T)\n", "sol" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1/10*pi*L*s/(L*s^2 + g)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ts = sol[0].rhs().subs(init)\n", "Ts" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1/10*pi*cos(sqrt(L*g)*t/L)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ft = inverse_laplace(Ts, s, t)\n", "ft" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. Plotting the Slope Field" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The slope field shows the velocities." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1/10*pi*cos(sqrt(10)*t)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "one = ft(g=10, L=1)\n", "one" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "oneplot = plot(one, (t, 0, pi), color='red', thickness=3)\n", "oneplot.show()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "v = var('v')" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "slopes = plot_slope_field(v-one, (t, 0, pi), (v, -1, 1),\n", " headlength=4, headaxislength=4, color='green')\n", "(oneplot+slopes).show()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-1/10*sqrt(10)*pi*sin(sqrt(10)*t)" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dtone = diff(one, t)\n", "dtone" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dtoneplot = plot(dtone, (t, 0, pi), color='green', thickness=3)\n", "dtoneplot.show()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "slopefield = oneplot+dtoneplot+slopes\n", "slopefield.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 4. The Pendulum with Damping" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set $g/L = 10$ and assume the damping constant to be 1.2. The damping is proportional to the velocity.\n", "\n", "$$\n", " \\frac{d^2}{d~\\!t^2} \\theta(t) = - 1.2 \\frac{d}{d~\\!t} \\theta(t) - 10 \\sin(\\theta(t)).\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To turn this is into a system of first order differential equations, we introduce\n", "\n", "$$\n", " \\frac{d}{d~\\!t} \\theta(t) = v(t)\n", "$$\n", "\n", "and obtain\n", "\n", "$$\n", " \\frac{d}{d~\\!t} v(t) = - 1.2 v(t) - 10 \\sin(\\theta(t))\n", "$$" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[v, -1.20000000000000*v - 10*sin(theta)]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "theta, v = var('theta, v')\n", "rhs = [v, -1.2*v - 10*sin(theta)]\n", "rhs" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0.314159265358979, 0.000000000000000]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "initc = [RR(pi)/10, 0.0]\n", "initc" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "endtime = 2*RR(pi)\n", "step = 0.1\n", "trange = srange(0, endtime, step)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "sol = desolve_odeint(rhs,initc,trange,[theta,v])" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "angles = sol[:, 0]\n", "pts = [(x, y) for (x, y) in zip(trange, angles)]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "p = line(pts)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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