How do I change only one variable in an equation and plot the response for this equation on a graph for all of the different values of this one variable?

Trying to plot a resonance curve, but using multiple vlues for the damping ratio variable. I know and can successfully plot the resonance curves individually but how do i write the script so that it knows to change the damping ratio value and plot each response for each of the different damping ratios on one graph?

I tried setting it up as an array i.e. DR = [0, 0.2, 0.4, 0.6, 0.8];

but it just came up with the error "Arrays have incompatible sizes for this operation".

Here is part of my code for just one damping ratio value.

DR = 0; % Damping ratio

A = (F/K) ./ sqrt(((1 - (r.^2)).^2) + (4.*DR.^2.*r.^2));

Answer 1

[Catalytic]

F=1;K=1;
DR = [0, 0.2, 0.4, 0.6, 0.8];

r=linspace(0,5)';

A = (F/K) ./ sqrt(((1 - (r.^2)).^2) + (4.*DR.^2.*r.^2));

plot(r,A); xlabel r;ylabel A; legend("DR="+DR)

Answer 2

[Torsten]

So you want to plot A against r for different values of DR ?

F = 1.0;
K = 1.0;
r = 0:0.01:1;
DR = [0.1, 0.2, 0.4, 0.6, 0.8].';
A = (F/K) ./ sqrt(((1 - (r.^2)).^2) + (4.*DR.^2.*r.^2));
plot(r,A)
grid on