MATLAB: Three dimension plotting…yea

3d plotsthre dimension

hi I have this code so far but keep on getting an error when trying to plot it in 3D. I want to plot the equation….exp(i*x)=cos(x)+ (j*sin(x));

code

t = 0:.1:2*pi;

v= exp(i*x)=cos(x)+ (j*sin(x));

plot3(real(v),imag(v),t)

xlabel('x:real(v)')

ylabel('y:imag(v)')

zlabel('t')

grid on

axis square

Best Answer

Your equation has an odd mix of x and t. This works for me:

t = 0:.1:2*pi;
v = cos(t)+ (j*sin(t));
plot3(real(v),imag(v),t)

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MATLAB: Help with a vibratonal analysis code

m1=53;% Mass
m2=62.096;
k=3.096e+006 ; % Stiffness
c=150; % Damping
% 4 x 4 matrices
disp('4 x 4 Mass matrix');
mt=[c,0,m1,0;0,0,0,m2;m1,0,0,0;0,m2,0,0];
disp('4 x 4 stiffness matrix');
kt=[-m1,0,0,0;0,m2,0,0;0,0,3*k,-2*k;0,0,-2*k,2*k];
Z=mt\kt;
[V,D]=eig(Z);
disp('Eigenvalues');
V;
disp('Initial conditions');
x0=[0;0;0.005;0];
disp('Integration constants');
S=V\x0;
tk=linspace(0,2,101);
% Evaluation of time dependent response
% Recall that x1=y3 and x2=y4
% preallocate x
x = zeros(numel(tk),2);
for k=1:101
 t=tk(k);
 for i=3:4
 x(k,i-2)=0;
 for j=1:4
     x(k,i-2)=0;
x(k,i-2)=x(k,i-2)+(real(S(j))*real(V(i,j))-imag(S(j))*imag(V(i,j)))*cos(imag(D(j,j))*t);
x(k,i-2)=x(k,i-2)+(imag(S(j))*real(V(i,j))-real(S(j))*imag(V(i,j)))*sin(imag(V(i,j))*t);
 x(k,i-2)=x(k,i-2)*exp(-real(D(j,j))*t);
 end
 end
end
plot(tk,x(:,1),'-',tk,x(:,2),':')
title('free vibration of a viscously damped 2 DOF')
xlabel('t[sec]')
ylabel('x(m)')
legend('x1(t)','x2(t)')

MATLAB: How to use integral3 when the integrand is a array

You don't. integral3() can only handle scalar functions.

Sometimes you can transform the situation into an array of functions, and then use arrayfun() to automate the integration.

Best Answer

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MATLAB: Help with a vibratonal analysis code

MATLAB: How to use integral3 when the integrand is a array

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