{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "format compact % zmiana sposobu wyświetlania wyników w MATLAB(bez zbędnych pustych linii)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Aproksymacja - plan dwupoziomowy\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Belka jednostronnie utwierdzona\n", "\n", "Dana jest belka o długości $L$ z materiału o module Younga $E$ posiadająca przekrój prostokątny o momencie bezwładności $I$ (wyznaczonym na podstawie jego szerokości $w$ i wysokości $h$).\n", "Równanie różniczkowe opisujące ugięcie belki utwierdzonej na jedmym końcu (dla $x=L$) z obciążeniem ciągłym $Q$ ma postać\n", "\n", "$$\n", "\\mathrm{EI}\\,\\frac{\\partial ^4}{\\partial x^4} y\\left(x\\right)=Q\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Przemieszczenia maksymalne w belce występują na jej swobodnym końcu i wynoszą\n", "\n", "$$\n", " \\delta_{max} (w,h) =\\frac{3\\,L^4\\,Q}{2 E\\,h^3\\,w}\n", "$$\n", "\n", "Naprężenia maksymalne w belce występują na jej utwierdzonym końcu i wynoszą\n", "\n", "$$\n", " \\sigma_{max} (w,h) =\\frac{3\\,L^2\\,Q}{h^2\\,w}\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zakładając, że $L=1$ m, $E=2 \\cdot 10^{11}$ Pa, $Q= 10^{5}$ N, oraz że $w$ i $h$ zawierają się w przedziale $[0.1, 0.2]$ m " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Zapis pliku funkcyjnego opisującego model" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Created file 'D:\\Wprowadzenie_do_MATLAB\\model_belki.m'.\n" ] } ], "source": [ "%%file model_belki.m\n", "function [delta_max sigma_max]=model_belki(w, h)\n", "L=1;Q=1e5;E=1e11;\n", "delta_max= (3*L^4*Q)/(2*E*h^3*w);\n", "sigma_max = (3*L^2*Q)/(h^2*w);\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "d =\n", " 0.0150\n", "s =\n", " 3.0000e+08\n", "\n" ] } ], "source": [ "[d s]=model_belki(0.1, 0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Eksperyment dwupoziomowy" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x_lim =\n", " 0.1000 0.2000\n", " 0.1000 0.2000\n", "\n" ] } ], "source": [ "clear all\n", "x_lim=[.1 .2\n", " .1 .2]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dFF2 =\n", " 0 0\n", " 0 1\n", " 1 0\n", " 1 1\n", "\n" ] } ], "source": [ "dFF2 = ff2n(2)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x =\n", " -1 -1\n", " -1 1\n", " 1 -1\n", " 1 1\n", "\n" ] } ], "source": [ "%przeskalowanie planu do przedziału [-1,1]\n", "x=dFF2*2-1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Experiment =\n", " 0.1000 0.1000\n", " 0.1000 0.2000\n", " 0.2000 0.1000\n", " 0.2000 0.2000\n", "\n" ] } ], "source": [ "Experiment=zeros(size(x));\n", "Experiment(x(:,1)==-1,1)=x_lim(1,1);\n", "Experiment(x(:,1)==1,1)=x_lim(1,2);\n", "Experiment(x(:,2)==-1,2)=x_lim(2,1);\n", "Experiment(x(:,2)==1,2)=x_lim(2,2);\n", "Experiment" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y =\n", " 0.0150\n", " 0.0019\n", " 0.0075\n", " 0.0009\n", "\n" ] } ], "source": [ "for k=1:length(x(:,1))\n", "[d s]=model_belki(Experiment(k,1), Experiment(k,2));\n", "y(k,1)=d;\n", "end\n", "y" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "image/png": 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Hwo/P55s3bx79WSdOnCgqKiosLEQYjy1jw1b0fImDggRgO2NGrrCwsKqqyu6f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\nmzeP/qzjx4/b9LMs8cYbbyxZsuQ73/n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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot3(x(:,1),x(:,2),y(:,1),'o')\n", "xlabel('x_1'), ylabel('x_2'), zlabel('y_1')\n", "grid on" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure\n", "subplot(2,2,1)\n", "plot3(x(:,1),x(:,2),y(:,1),'o'), xlabel('x_1'), ylabel('x_2'), zlabel('y_1'), grid on, view(0,90)\n", "subplot(2,2,3)\n", "plot3(x(:,1),x(:,2),y(:,1),'o'), xlabel('x_1'), ylabel('x_2'), zlabel('y_1'), grid on, view(0,0)\n", "subplot(2,2,4)\n", "plot3(x(:,1),x(:,2),y(:,1),'o'), xlabel('x_1'), ylabel('x_2'), zlabel('y_1'), grid on, view(90,0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Aproksymacja punktów powierzchnią odpowiedzi " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X =\n", " 1 -1 -1\n", " 1 -1 1\n", " 1 1 -1\n", " 1 1 1\n", "Y =\n", " 0.0150\n", " 0.0019\n", " 0.0075\n", " 0.0009\n", "A =\n", " 0.0063\n", " -0.0021\n", " -0.0049\n", "f1 =\n", " function_handle with value:\n", " @(x1,x2)a00+a10*x1+a01*x2\n", "\n" ] } ], "source": [ "%Założenie postaci funkcji \n", "%f1(x1,x2) = a00+a10*x1+a01*x2\n", "\n", "X=[ones(length(x(:,1)),1) x(:,1) x(:,2)]\n", "\n", "Y=y(:,1)\n", "%XA=Y\n", "A=X\\Y\n", "\n", "a00=A(1);a10=A(2);a01=A(3);\n", "f1=@(x1,x2) a00+a10*x1+a01*x2\n", "[X1,X2]=meshgrid([-1:0.1:1]);\n", "Y1=f1(X1,X2);\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "image/png": 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WICW1hxkjYsWIWNxU9k155FPM/yuR//DE3Htu65qD5/VS5ffBPCQBkpjum/iV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\npSCzhcREy+K3rokVVjpZ4AUH3DQ+d4Gmg3emqun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2voAdFLr6t3cVUrXjrVf4gar8IJQE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\n3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DzR4Oj22B5kgat3n2QX5oWR4Llxwo2rHfWNAOBoOOPG1W6ciODxOgkCAKLmPOFVS+Gp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\nqyollzyBUBQHT6nd3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "surf(X1,X2,Y1)\n", "hold on\n", "plot3(x(:,1),x(:,2),y(:,1),'o')\n", "xlabel('x_1'), ylabel('x_2'), zlabel('y_1')\n", "view(45,45)\n", "grid on" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "%syms x1 x2 % alternatywny sposób narysowania wykresu\n", "%f2=a00 + a10*x1 + a01*x2 + a11*x1*x2\n", "%fsurf(f2,[-1 1])\n", "%hold on\n", "%plot3(x(:,1),x(:,2),y(:,1),'o')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zmiana postaci funkcji opisującej powierzchnię" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X =\n", " 1 -1 -1 1\n", " 1 -1 1 -1\n", " 1 1 -1 -1\n", " 1 1 1 1\n", "Y =\n", " 0.0150\n", " 0.0019\n", " 0.0075\n", " 0.0009\n", "A =\n", " 0.0063\n", " -0.0021\n", " -0.0049\n", " 0.0016\n", "f2 =\n", " function_handle with value:\n", " @(x1,x2)a00+a10*x1+a01*x2+a11*x1.*x2\n", "\n" ] } ], "source": [ "%Założenie postaci funkcji \n", "%f2(x1,x2) = a00+a10*x1+a01*x2+a11*x1*x2\n", "\n", "X=[ones(length(x(:,1)),1) x(:,1) x(:,2) x(:,1).*x(:,2)]\n", "\n", "Y=y(:,1)\n", "%XA=Y\n", "A=X\\Y\n", "\n", "a00=A(1);a10=A(2);a01=A(3);a11=A(4);\n", "\n", "f2=@(x1,x2) a00 + a10*x1 + a01*x2 + a11*x1.*x2\n", "[X1,X2]=meshgrid([-1:.2:1]);\n", "Y2=f2(X1,X2);" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "image/png": 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j1LK/Mq23hJSGuPU17L+GWJAYwbBJadlKXXpENFVNAoBj54zvryvo0YVLO1R6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "surf(X1,X2,Y2)\n", "hold on\n", "plot3(x(:,1),x(:,2),y(:,1),'o')\n", "xlabel('x_1'), ylabel('x_2'), zlabel('y_2')\n", "view(45,45)\n", "grid on" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Aproksymacja w sposób \"pół-automatyczny\" przy pomocy cftool (Curve Fitting Toolbox)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " CFTOOL Open Curve Fitting Tool.\n", " \n", " CFTOOL opens Curve Fitting Tool or brings focus to the Tool if it is already\n", " open.\n", " \n", " CFTOOL( X, Y ) creates a curve fit to X input and Y output. X and Y must be\n", " numeric, have two or more elements, and have the same number of elements.\n", " CFTOOL opens Curve Fitting Tool if necessary.\n", " \n", " CFTOOL( X, Y, Z ) creates a surface fit to X and Y inputs and Z output. X, Y,\n", " and Z must be numeric, have two or more elements, and have compatible sizes.\n", " Sizes are compatible if X, Y, and Z all have the same number of elements or X\n", " and Y are vectors, Z is a 2D matrix, length(X) = n, and length(Y) = m where\n", " [m,n] = size(Z). CFTOOL opens Curve Fitting Tool if necessary.\n", " \n", " CFTOOL( X, Y, [], W ) creates a curve fit with weights W. W must be numeric\n", " and have the same number of elements as X and Y.\n", " \n", " CFTOOL( X, Y, Z, W ) creates a surface fit with weights W. W must be numeric\n", " and have the same number of elements as Z.\n", " \n", " CFTOOL( FILENAME ) loads the surface fitting session in FILENAME into Curve\n", " Fitting Tool. The FILENAME should have the extension '.sfit'.\n", "\n", " Reference page in Doc Center\n", " doc cftool\n", "\n", "\n", "\n" ] } ], "source": [ "help cftool" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "x1=x(:,1); x2=x(:,2); y1=y(:,1); cftool(x1,x2,y1);" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: Start point not provided, choosing random start point.\n", "> In curvefit.attention.Warning/throw (line 30)\n", " In fit>iFit (line 299)\n", " In fit (line 108)\n", " General model:\n", " sf(x1,x2) = a00 + a10*x1 + a01*x2 +a11*x1*x2\n", " Coefficients:\n", " a00 = 0.006328\n", " a01 = -0.004922\n", " a10 = -0.002109\n", " a11 = 0.001641\n", "\n" ] }, { "data": { "image/png": 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82Pn+XePtZqUlbxu4gKiWLPnbwvomS0esrqtQFB1eYK9Q9hi3hR0kN1xNNVxN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9EVZGWVyuIpEJ0bOwvAWq/LO/GstU7XP/IrAPqi70mCR4wDzSoBKNFvZPpws+Vgfv4HcCCs7zKp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Z2VFRUcHBwVFRUdnZ2bxcQ1PA6+zZsydf19mU91HD61tJmCiUZUcYj1OnTnXs2NHLywsAHB0d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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ft = fittype( 'a00 + a10*x1 + a01*x2 +a11*x1*x2', 'independent', {'x1', 'x2'}, 'dependent', 'y' );\n", "opts = fitoptions( 'Method', 'NonlinearLeastSquares' );\n", "opts.Algorithm = 'Levenberg-Marquardt';\n", "\n", "sf = fit( x, y(:,1), ft, opts)\n", "\n", "plot3(x(:,1),x(:,2),y(:,1),'o')\n", "xlabel('x_1'), ylabel('x_2'), zlabel('y_1')\n", "grid on, view(45,45)\n", "\n", "hold on\n", "plot(sf)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Matlab", "language": "matlab", "name": "matlab" }, "language_info": { "codemirror_mode": "octave", "file_extension": ".m", "help_links": [ { "text": "MetaKernel Magics", "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" } ], "mimetype": "text/x-octave", "name": "matlab", "version": "0.15.0" } }, "nbformat": 4, "nbformat_minor": 2 }