2D and 3D ploting of w realated coefficients

Question

Here of three coefficients with relation to w.

A = (38.6068*ω^2-0.37)/(0.1288*ω^2+0.1396)
B = ((18.58-0.3589*A)*ω^2)/(0.37)
C = ((30.45*A*B*ω^2 ))/(0.5*(0.1288*A*ω^2+0.1396*B))

I want to plot A and B in 2D and A,B and C in 3D in matlab for interval w = (0,0.48321) .

Note : A,B,C have relation to each other in formulas.

Answer 1

You have to modify the code you've posted by using the following notation in the operations:

./ , .* , .^

this allows to perform those operations on arrays "elemt-wise".

To plot A and B on a 2D chart you can use the plot built in function.

To plot A , B and B on a wD chart you can use the plot3 built in function.

The 3D plot can only be a line and not a surface since being C a (1 x N) array (with N=length(C) ).

The updated version of you code:

omega=0:.01:0.48321;
A = (38.6068*omega.^2-0.37)./(0.1288*omega.^2+0.1396);
B = ((18.58-0.3589*A).*omega.^2)/(0.37);
C = ((30.45*A.*B.*omega.^2 ))./(0.5*(0.1288*A.*omega.^2+0.1396.*B));

The 2D plot of A , B , C

figure
plot(omega,A,'r','linewidth',2)
hold on
plot(omega,B,'b','linewidth',2)
plot(omega,C,'k','linewidth',2)
grid on
legend('A','B','C','location','best')

The 3D plot

figure
plot3(A,B,C,'r','linewidth',2)
grid on
xlabel('Parm. A','fontweight','bold')
ylabel('Param. B','fontweight','bold')
zlabel('Param. C','fontweight','bold')