CS计算机代考程序代写 matlab [Content_Types].xml

[Content_Types].xml

_rels/.rels

matlab/document.xml

matlab/output.xml

metadata/coreProperties.xml

metadata/mwcoreProperties.xml

metadata/mwcorePropertiesExtension.xml

metadata/mwcorePropertiesReleaseInfo.xml

close all
clear all QUESTION 1.1 Set d^2x/dt^2=0 dx/dt=\sqrt{\frac{2F }{C_D\rho A}} Put in the numerical values \sqrt{\frac{2\times 4000}{0.6\times 0.1\times 3}} =210.8185 QUESTION 1.2 Express the 2nd order equation as a set of first order ordinary differential equation Let x_0=x x_1=\frac{dx}{dt} So \frac{dx_0}{dt}=x_1 \frac{dx_1}{dt}=\frac{F}{m}-\frac{C_D\rho A}{ 2m}x_1^2 QUESTION 1.3 clear all;
close all;

Delta_t=0.1;
t=0:Delta_t:200;
x=zeros(length(t),2);
x(1,:)=[0.0 5.0];

for n=1:length(t)-1
k1=f(t(n),x(n,:))’;
k2=f(t(n)+Delta_t/2,x(n,:)+Delta_t*k1/2)’;
k3=f(t(n)+Delta_t/2,x(n,:)+Delta_t*k2/2)’;
k4=f(t(n)+Delta_t,x(n,:)+Delta_t*k3)’;
x(n+1,:)=x(n,:)+Delta_t*(k1/6.0+(k2+k3)/3.0+k4/6.0);
end

[tmat,xmat]=ode23(@f,[0 200],[0 5]);

hold off
plot(t,x(:,2),’bo-‘,’linewidth’,2,’markersize’,10)
hold on
plot(tmat,xmat(:,2),’k-‘,’linewidth’,2)
xlabel(‘t’);
ylabel(‘x_1(t)’);
function dxdt=f(t,x)
F=4000;
m=1300;
A=3;
CD=0.6;
rho=0.1;
dxdt=[x(2) ;(F/m)-(CD*rho*A/(2*m))*x(2)*x(2)];
end The value of dx/dt at time t=200 is 209.6498. This is very similar to the value obtained at Question 1.1

manual code ready 0.4 figure bf3570d4-e3d5-432c-903c-fa6b6cd9f021 data:image/png;base64,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 560 420 10 11 12 13 14 15 10 21 22 23 24 25 26 true false close all 0 0 0 false true clear all 1 1 1 true false clear all; 2 24 24 false false close all; 3 25 25 false false Delta_t=0.1; 4 27 27 false false t=0:Delta_t:200; 5 28 28 false false x=zeros(length(t),2); 6 29 29 false false x(1,:)=[0.0 5.0]; 7 30 30 false false for n=1:length(t)-1
k1=f(t(n),x(n,:))’;
k2=f(t(n)+Delta_t/2,x(n,:)+Delta_t*k1/2)’;
k3=f(t(n)+Delta_t/2,x(n,:)+Delta_t*k2/2)’;
k4=f(t(n)+Delta_t,x(n,:)+Delta_t*k3)’;
x(n+1,:)=x(n,:)+Delta_t*(k1/6.0+(k2+k3)/3.0+k4/6.0);
end 8 32 38 false false [tmat,xmat]=ode23(@f,[0 200],[0 5]); 9 40 40 false false hold off 10 42 42 0 false false plot(t,x(:,2),’bo-‘,’linewidth’,2,’markersize’,10) 11 43 43 0 false false hold on 12 44 44 0 false false plot(tmat,xmat(:,2),’k-‘,’linewidth’,2) 13 45 45 0 false false xlabel(‘t’); 14 46 46 0 false true ylabel(‘x_1(t)’); 15 47 47 0 true false function dxdt=f(t,x) 16 50 50 false false F=4000; 17 51 51 false false m=1300; 18 52 52 false false A=3; 19 53 53 false false CD=0.6; 20 54 54 false false rho=0.1; 21 55 55 false false dxdt=[x(2) ;(F/m)-(CD*rho*A/(2*m))*x(2)*x(2)]; 22 56 56 false true end 23 57 57

2020-10-21T19:21:58Z 2020-10-22T04:29:33Z

application/vnd.mathworks.matlab.code MATLAB Code R2020a

9.8.0.1298242 99dbd585-479d-48b1-95b7-472a295a8587

9.8.0.1417392
R2020a
Update 4
Jun 24 2020
1882048