Cannot understanding the dimension of XY1

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clear
clc
t = 0: 0.01 : 2;
omega_n = 10;
omega = 0:0.1:20;
r = omega/omega_n;
XY1 = sqrt((1+(2*zeta1*r).^2)/((1-r.^2).^2+(2*zeta1*r).^2))
XY1 = 0.4739
plot(r,XY1)
I cannot understand why the XY1 does not have same dimension as r has.
Could you explain why and fix the codes to plot the r vs XY1 graph?

Accepted Answer

Torsten
Torsten on 30 Oct 2022
omega_n = 10;
omega = 0:0.1:20;
zeta1 = 1.0;
r = omega./omega_n;
XY1 = sqrt((1+(2*zeta1*r).^2)./((1-r.^2).^2+(2*zeta1*r).^2));
plot(r,XY1)

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